TSTP Solution File: SCT023-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 14:09:52 EDT 2023
% Result : Unsatisfiable 4.88s 4.92s
% Output : CNFRefutation 5.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 15:08:58 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 4.80/4.87 %-------------------------------------------
% 4.80/4.87 % File :CSE---1.6
% 4.80/4.87 % Problem :theBenchmark
% 4.80/4.87 % Transform :cnf
% 4.80/4.87 % Format :tptp:raw
% 4.80/4.87 % Command :java -jar mcs_scs.jar %d %s
% 4.80/4.87
% 4.80/4.87 % Result :Theorem 4.070000s
% 4.80/4.87 % Output :CNFRefutation 4.070000s
% 4.80/4.87 %-------------------------------------------
% 4.80/4.88 %------------------------------------------------------------------------------
% 4.80/4.88 % File : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% 4.80/4.88 % Domain : Social Choice Theory
% 4.80/4.88 % Problem : Arrow Order 139_2
% 4.80/4.88 % Version : Especial.
% 4.80/4.88 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 4.80/4.88 % formalization is based on utility functions, the other one on
% 4.80/4.88 % strict partial orders.
% 4.80/4.88
% 4.80/4.88 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 4.80/4.88 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 4.80/4.88 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 4.80/4.88 % Source : [Nip10]
% 4.80/4.88 % Names : Arrow_Order-139_2 [Nip10]
% 4.80/4.88
% 4.80/4.88 % Status : Unsatisfiable
% 4.80/4.88 % Rating : 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.35 v7.3.0, 0.33 v7.1.0, 0.25 v7.0.0, 0.40 v6.3.0, 0.18 v6.2.0, 0.40 v6.1.0, 0.57 v6.0.0, 0.50 v5.5.0, 0.65 v5.3.0, 0.67 v5.2.0, 0.62 v5.1.0, 0.65 v5.0.0, 0.57 v4.1.0
% 4.80/4.88 % Syntax : Number of clauses : 605 ( 176 unt; 59 nHn; 328 RR)
% 4.80/4.88 % Number of literals : 1276 ( 270 equ; 626 neg)
% 4.80/4.88 % Maximal clause size : 6 ( 2 avg)
% 4.80/4.88 % Maximal term depth : 6 ( 1 avg)
% 4.80/4.88 % Number of predicates : 32 ( 31 usr; 0 prp; 1-6 aty)
% 4.80/4.88 % Number of functors : 62 ( 62 usr; 9 con; 0-5 aty)
% 4.80/4.88 % Number of variables : 2141 ( 198 sgn)
% 4.80/4.88 % SPC : CNF_UNS_RFO_SEQ_NHN
% 4.80/4.88
% 4.80/4.88 % Comments :
% 4.80/4.88 %------------------------------------------------------------------------------
% 4.80/4.88 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 4.80/4.88 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.88 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 4.80/4.88 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_sup__left__commute_0,axiom,
% 4.80/4.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_sup__assoc_0,axiom,
% 4.80/4.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.88 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Un__assoc_0,axiom,
% 4.80/4.88 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Un__left__commute_0,axiom,
% 4.80/4.88 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_image__diff__subset_0,axiom,
% 4.80/4.88 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_image__empty_0,axiom,
% 4.80/4.88 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_eq__eqI_0,axiom,
% 4.80/4.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.80/4.88 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 4.80/4.88 | V_x_H = V_y_H ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_eq__eqI_1,axiom,
% 4.80/4.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 4.80/4.88 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 4.80/4.88 | V_xa = V_y ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_doubleton__eq__iff_4,axiom,
% 4.80/4.88 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Diff__idemp_0,axiom,
% 4.80/4.88 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_COMBK__def_0,axiom,
% 4.80/4.88 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Image__Un_0,axiom,
% 4.80/4.88 c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Un__Image_0,axiom,
% 4.80/4.88 c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_sup__idem_0,axiom,
% 4.80/4.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Un__absorb_0,axiom,
% 4.80/4.88 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_inf__sup__distrib2_0,axiom,
% 4.80/4.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.80/4.88 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_inf__sup__distrib1_0,axiom,
% 4.80/4.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.80/4.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Int__Un__distrib_0,axiom,
% 4.80/4.88 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Int__Un__distrib2_0,axiom,
% 4.80/4.88 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Domain__Diff__subset_0,axiom,
% 4.80/4.88 c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Diff__triv_0,axiom,
% 4.80/4.88 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.80/4.88 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_singletonE_0,axiom,
% 4.80/4.88 ( V_b = V_a
% 4.80/4.88 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_Sigma__Int__distrib1_0,axiom,
% 4.80/4.88 c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_image__constant_0,axiom,
% 4.80/4.88 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 4.80/4.88 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.80/4.88
% 4.80/4.88 cnf(cls_subset__insert__iff_0,axiom,
% 4.80/4.88 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 4.80/4.88 | ~ c_in(V_x,V_A,T_a)
% 4.80/4.88 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_subset__insert__iff_3,axiom,
% 4.80/4.89 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_in(V_x,V_A,T_a)
% 4.80/4.89 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_diff__single__insert_0,axiom,
% 4.80/4.89 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_in(V_x,V_A,T_a)
% 4.80/4.89 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_insert__Diff1_0,axiom,
% 4.80/4.89 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_in(V_x,V_B,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Range__Diff__subset_0,axiom,
% 4.80/4.89 c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_rtrancl__Un__subset_0,axiom,
% 4.80/4.89 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_empty__is__image_0,axiom,
% 4.80/4.89 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 4.80/4.89 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__insert__left_0,axiom,
% 4.80/4.89 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__insert__right_0,axiom,
% 4.80/4.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_empty__subsetI_0,axiom,
% 4.80/4.89 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_bot__least_0,axiom,
% 4.80/4.89 ( ~ class_Orderings_Obot(T_a)
% 4.80/4.89 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__insert_0,axiom,
% 4.80/4.89 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__insert2_0,axiom,
% 4.80/4.89 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_insert__not__empty_0,axiom,
% 4.80/4.89 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_insert__inter__insert_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Image__empty_0,axiom,
% 4.80/4.89 c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sym__Un_0,axiom,
% 4.80/4.89 ( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.80/4.89 | ~ c_Relation_Osym(V_s,T_a)
% 4.80/4.89 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Domain__Int__subset_0,axiom,
% 4.80/4.89 c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__bot__right_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__bot__left_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Int__empty__left_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Int__empty__right_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_image__Int__subset_0,axiom,
% 4.80/4.89 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Image__Int__subset_0,axiom,
% 4.80/4.89 c_lessequals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 4.80/4.89 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.80/4.89 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 4.80/4.89 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Sigma__Diff__distrib1_0,axiom,
% 4.80/4.89 c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__empty_0,axiom,
% 4.80/4.89 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__cancel_0,axiom,
% 4.80/4.89 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup1E_0,axiom,
% 4.80/4.89 ( hBOOL(hAPP(V_B,V_x))
% 4.80/4.89 | hBOOL(hAPP(V_A,V_x))
% 4.80/4.89 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup1CI_0,axiom,
% 4.80/4.89 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.80/4.89 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup1CI_1,axiom,
% 4.80/4.89 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.80/4.89 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_wf__Un_0,axiom,
% 4.80/4.89 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_s,T_a,T_a),tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_Wellfounded_Owf(V_s,T_a)
% 4.80/4.89 | ~ c_Wellfounded_Owf(V_r,T_a)
% 4.80/4.89 | c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Times__Int__distrib1_0,axiom,
% 4.80/4.89 c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_refl__on__Un_0,axiom,
% 4.80/4.89 ( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.80/4.89 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 4.80/4.89 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__left__commute_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__assoc_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Int__assoc_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Int__left__commute_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup__bot__right_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.80/4.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup__bot__left_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.80/4.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__empty__left_0,axiom,
% 4.80/4.89 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__empty__right_0,axiom,
% 4.80/4.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_empty__Diff_0,axiom,
% 4.80/4.89 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_insert__times__insert_0,axiom,
% 4.80/4.89 c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)),tc_prod(T_a,T_b)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_bot1E_0,axiom,
% 4.80/4.89 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__Int__distrib_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__Int__distrib2_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Int__absorb2_0,axiom,
% 4.80/4.89 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 4.80/4.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Int__absorb1_0,axiom,
% 4.80/4.89 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 4.80/4.89 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_le__iff__inf_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 4.80/4.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_le__iff__inf_1,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 4.80/4.89 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__absorb2_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 4.80/4.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__subset__iff_2,axiom,
% 4.80/4.89 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__upper2_0,axiom,
% 4.80/4.89 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__upper1_0,axiom,
% 4.80/4.89 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__least_0,axiom,
% 4.80/4.89 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.80/4.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_le__supI_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 4.80/4.89 | ~ c_lessequals(V_b,V_x,T_a)
% 4.80/4.89 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup__ge1_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup__ge2_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.89 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_sup__least_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 4.80/4.89 | ~ c_lessequals(V_z,V_x,T_a)
% 4.80/4.89 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_le__sup__iff_2,axiom,
% 4.80/4.89 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 4.80/4.89 | ~ c_lessequals(V_y,V_z,T_a)
% 4.80/4.89 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.89 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.89 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Int__commute_0,axiom,
% 4.80/4.89 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__commute_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.89 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_wf__acyclic_0,axiom,
% 4.80/4.89 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 4.80/4.89 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__partition_0,axiom,
% 4.80/4.89 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B
% 4.80/4.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_distrib__inf__le_0,axiom,
% 4.80/4.89 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.89 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Diff__subset_0,axiom,
% 4.80/4.89 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_insert__Diff__single_0,axiom,
% 4.80/4.89 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_singleton__inject_0,axiom,
% 4.80/4.89 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.89 | V_a = V_b ) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_Un__Int__crazy_0,axiom,
% 4.80/4.89 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.89
% 4.80/4.89 cnf(cls_image__constant__conv_0,axiom,
% 4.80/4.90 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 4.80/4.90 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.80/4.90 | c_in(V_x,V_xa,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Sigma__Un__distrib1_0,axiom,
% 4.80/4.90 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_converse__Int_0,axiom,
% 4.80/4.90 c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Int__insert__right_1,axiom,
% 4.80/4.90 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.80/4.90 | c_in(V_a,V_A,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Int__insert__left_1,axiom,
% 4.80/4.90 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.80/4.90 | c_in(V_a,V_C,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_strict__linear__order__on__def_2,axiom,
% 4.80/4.90 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 4.80/4.90 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Un__empty_1,axiom,
% 4.80/4.90 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.80/4.90 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Un__empty_0,axiom,
% 4.80/4.90 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.80/4.90 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.80/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 4.80/4.90 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Obounded__lattice(T_a)
% 4.80/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 4.80/4.90 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Un__Diff__cancel2_0,axiom,
% 4.80/4.90 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Un__Diff__cancel_0,axiom,
% 4.80/4.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_rel__comp__distrib2_0,axiom,
% 4.80/4.90 c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_rel__comp__distrib_0,axiom,
% 4.80/4.90 c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Int__subset__iff_1,axiom,
% 4.80/4.90 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Int__subset__iff_0,axiom,
% 4.80/4.90 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_le__infE_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.90 | c_lessequals(V_x,V_a,T_a)
% 4.80/4.90 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_le__infE_1,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.90 | c_lessequals(V_x,V_b,T_a)
% 4.80/4.90 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_le__infI1_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.90 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 4.80/4.90 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_le__infI2_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.90 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 4.80/4.90 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_le__inf__iff_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.90 | c_lessequals(V_x,V_y,T_a)
% 4.80/4.90 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_le__inf__iff_1,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.80/4.90 | c_lessequals(V_x,V_z,T_a)
% 4.80/4.90 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Un__Diff_0,axiom,
% 4.80/4.90 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Un__commute_0,axiom,
% 4.80/4.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_sup__commute_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Domain__Un__eq_0,axiom,
% 4.80/4.90 c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_insert__is__Un_0,axiom,
% 4.80/4.90 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Un__left__absorb_0,axiom,
% 4.80/4.90 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_sup__left__idem_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.80/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_empty__is__image_1,axiom,
% 4.80/4.90 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Diff__disjoint_0,axiom,
% 4.80/4.90 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Range__Int__subset_0,axiom,
% 4.80/4.90 c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_rtrancl__Un__rtrancl_0,axiom,
% 4.80/4.90 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_insert__Diff__if_1,axiom,
% 4.80/4.90 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | c_in(V_x,V_B,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_subset__insert__iff_4,axiom,
% 4.80/4.90 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_inf1E_1,axiom,
% 4.80/4.90 ( hBOOL(hAPP(V_B,V_x))
% 4.80/4.90 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_inf1E_0,axiom,
% 4.80/4.90 ( hBOOL(hAPP(V_A,V_x))
% 4.80/4.90 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_sym__Int_0,axiom,
% 4.80/4.90 ( c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.80/4.90 | ~ c_Relation_Osym(V_s,T_a)
% 4.80/4.90 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Diff__insert__absorb_0,axiom,
% 4.80/4.90 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 4.80/4.90 | c_in(V_x,V_A,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Diff__subset__conv_1,axiom,
% 4.80/4.90 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Diff__subset__conv_0,axiom,
% 4.80/4.90 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_acyclic__insert_0,axiom,
% 4.80/4.90 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 4.80/4.90 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Int__iff_2,axiom,
% 4.80/4.90 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | ~ c_in(V_c,V_B,T_a)
% 4.80/4.90 | ~ c_in(V_c,V_A,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_IntI_0,axiom,
% 4.80/4.90 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | ~ c_in(V_c,V_B,T_a)
% 4.80/4.90 | ~ c_in(V_c,V_A,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_UnCI_1,axiom,
% 4.80/4.90 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | ~ c_in(V_c,V_A,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_UnCI_0,axiom,
% 4.80/4.90 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | ~ c_in(V_c,V_B,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_ex__in__conv_0,axiom,
% 4.80/4.90 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_ball__empty_0,axiom,
% 4.80/4.90 ( hBOOL(hAPP(V_P,V_x))
% 4.80/4.90 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_empty__iff_0,axiom,
% 4.80/4.90 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_emptyE_0,axiom,
% 4.80/4.90 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_UnE_0,axiom,
% 4.80/4.90 ( c_in(V_c,V_B,T_a)
% 4.80/4.90 | c_in(V_c,V_A,T_a)
% 4.80/4.90 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_DiffE_1,axiom,
% 4.80/4.90 ( ~ c_in(V_c,V_B,T_a)
% 4.80/4.90 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_DiffE_0,axiom,
% 4.80/4.90 ( c_in(V_c,V_A,T_a)
% 4.80/4.90 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_IntE_1,axiom,
% 4.80/4.90 ( c_in(V_c,V_B,T_a)
% 4.80/4.90 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_IntE_0,axiom,
% 4.80/4.90 ( c_in(V_c,V_A,T_a)
% 4.80/4.90 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_bex__empty_0,axiom,
% 4.80/4.90 ( ~ hBOOL(hAPP(V_P,V_x))
% 4.80/4.90 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Diff__iff_2,axiom,
% 4.80/4.90 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | c_in(V_c,V_B,T_a)
% 4.80/4.90 | ~ c_in(V_c,V_A,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_DiffI_0,axiom,
% 4.80/4.90 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | c_in(V_c,V_B,T_a)
% 4.80/4.90 | ~ c_in(V_c,V_A,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_strict__linear__order__on__def_0,axiom,
% 4.80/4.90 ( c_Relation_Otrans(V_r,T_a)
% 4.80/4.90 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_trans__Int_0,axiom,
% 4.80/4.90 ( c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.80/4.90 | ~ c_Relation_Otrans(V_s,T_a)
% 4.80/4.90 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_irrefl__diff__Id_0,axiom,
% 4.80/4.90 c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_acyclic__def_0,axiom,
% 4.80/4.90 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.80/4.90 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_equiv__class__nondisjoint_0,axiom,
% 4.80/4.90 ( c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.80/4.90 | ~ c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_wfE__pf_0,axiom,
% 4.80/4.90 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Sigma__mono_1,axiom,
% 4.80/4.90 ( c_lessequals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool))
% 4.80/4.90 | ~ c_lessequals(hAPP(V_B,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),hAPP(V_D,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),tc_fun(T_b,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_trancl__subset__Sigma_0,axiom,
% 4.80/4.90 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_wf__union__compatible_0,axiom,
% 4.80/4.90 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.80/4.90 | ~ c_lessequals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.80/4.90 | ~ c_Wellfounded_Owf(V_S,T_a)
% 4.80/4.90 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_trancl__Int__subset_0,axiom,
% 4.80/4.90 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.80/4.90 | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_equiv__type_0,axiom,
% 4.80/4.90 ( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.80/4.90 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_rel__comp__subset__Sigma_0,axiom,
% 4.80/4.90 ( c_lessequals(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_s,c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_reflcl__trancl_0,axiom,
% 4.80/4.90 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_image__constant__conv_1,axiom,
% 4.80/4.90 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 4.80/4.90 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Diff__mono_0,axiom,
% 4.80/4.90 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 4.80/4.90 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 4.80/4.90 ( ~ c_in(V_x,V_B,T_a)
% 4.80/4.90 | ~ c_in(V_x,V_A,T_a)
% 4.80/4.90 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_distrib__sup__le_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.90 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_Diff__Int2_0,axiom,
% 4.80/4.90 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_sup__inf__absorb_0,axiom,
% 4.80/4.90 ( ~ class_Lattices_Olattice(T_a)
% 4.80/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 4.80/4.90
% 4.80/4.90 cnf(cls_acyclic__converse_0,axiom,
% 4.88/4.90 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 4.88/4.90 | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_acyclic__converse_1,axiom,
% 4.88/4.90 ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 4.88/4.90 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_inf__sup__absorb_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olattice(T_a)
% 4.88/4.90 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_Un__Diff__Int_0,axiom,
% 4.88/4.90 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_sup__absorb1_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 4.88/4.90 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_le__iff__sup_1,axiom,
% 4.88/4.90 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 4.88/4.90 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_le__iff__sup_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.90 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 4.88/4.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_Un__absorb1_0,axiom,
% 4.88/4.90 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 4.88/4.90 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_Un__absorb2_0,axiom,
% 4.88/4.90 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 4.88/4.90 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_subset__Un__eq_1,axiom,
% 4.88/4.90 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 4.88/4.90 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_refl__on__Int_0,axiom,
% 4.88/4.90 ( c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.90 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 4.88/4.90 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_doubleton__eq__iff_0,axiom,
% 4.88/4.90 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.88/4.90 | V_a = V_d
% 4.88/4.90 | V_a = V_c ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_doubleton__eq__iff_1,axiom,
% 4.88/4.90 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.88/4.90 | V_b = V_c
% 4.88/4.90 | V_a = V_c ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_doubleton__eq__iff_2,axiom,
% 4.88/4.90 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.88/4.90 | V_a = V_d
% 4.88/4.90 | V_b = V_d ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_doubleton__eq__iff_3,axiom,
% 4.88/4.90 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 4.88/4.90 | V_b = V_c
% 4.88/4.90 | V_b = V_d ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_subset__empty_0,axiom,
% 4.88/4.90 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.88/4.90 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_subset__empty_1,axiom,
% 4.88/4.90 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_empty__not__insert_0,axiom,
% 4.88/4.90 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_Int__insert__left_0,axiom,
% 4.88/4.90 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 4.88/4.90 | ~ c_in(V_a,V_C,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_Int__insert__right_0,axiom,
% 4.88/4.90 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 4.88/4.90 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_total__on__empty_0,axiom,
% 4.88/4.90 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_Un__mono_0,axiom,
% 4.88/4.90 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.88/4.90 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 4.88/4.90 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_converse__Un_0,axiom,
% 4.88/4.90 c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olattice(T_a)
% 4.88/4.90 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olattice(T_a)
% 4.88/4.90 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_inf__greatest_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.88/4.90 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 4.88/4.90 | ~ c_lessequals(V_x,V_z,T_a)
% 4.88/4.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_le__inf__iff_2,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.88/4.90 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 4.88/4.90 | ~ c_lessequals(V_x,V_z,T_a)
% 4.88/4.90 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_le__infI_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.88/4.90 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 4.88/4.90 | ~ c_lessequals(V_x,V_b,T_a)
% 4.88/4.90 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_inf__le2_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.88/4.90 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 4.88/4.90
% 4.88/4.90 cnf(cls_inf__le1_0,axiom,
% 4.88/4.90 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.88/4.90 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__lower1_0,axiom,
% 4.88/4.91 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__lower2_0,axiom,
% 4.88/4.91 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__greatest_0,axiom,
% 4.88/4.91 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__subset__iff_2,axiom,
% 4.88/4.91 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Times__Un__distrib1_0,axiom,
% 4.88/4.91 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sup__inf__distrib2_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.88/4.91 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sup__inf__distrib1_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 4.88/4.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Un__Int__distrib_0,axiom,
% 4.88/4.91 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Un__Int__distrib2_0,axiom,
% 4.88/4.91 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Times__Diff__distrib1_0,axiom,
% 4.88/4.91 c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Olattice(T_a)
% 4.88/4.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_inf__left__idem_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.88/4.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__left__absorb_0,axiom,
% 4.88/4.91 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Range__Un__eq_0,axiom,
% 4.88/4.91 c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__Int1_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_r_H,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__Int2_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r_H,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__Diff_0,axiom,
% 4.88/4.91 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 4.88/4.91 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_inf__idem_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Olower__semilattice(T_a)
% 4.88/4.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__absorb_0,axiom,
% 4.88/4.91 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__sup__iff_1,axiom,
% 4.88/4.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.91 | c_lessequals(V_y,V_z,T_a)
% 4.88/4.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__sup__iff_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.91 | c_lessequals(V_x,V_z,T_a)
% 4.88/4.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__supI2_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.91 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.88/4.91 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__supI1_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.91 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 4.88/4.91 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__supE_1,axiom,
% 4.88/4.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.91 | c_lessequals(V_b,V_x,T_a)
% 4.88/4.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__supE_0,axiom,
% 4.88/4.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 4.88/4.91 | c_lessequals(V_a,V_x,T_a)
% 4.88/4.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Un__subset__iff_0,axiom,
% 4.88/4.91 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Un__subset__iff_1,axiom,
% 4.88/4.91 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acyclic__subset_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 4.88/4.91 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_Wellfounded_Oacyclic(V_s,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_image__is__empty_0,axiom,
% 4.88/4.91 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.88/4.91 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Diff__Un_0,axiom,
% 4.88/4.91 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Int__Diff_0,axiom,
% 4.88/4.91 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_singleton__iff_1,axiom,
% 4.88/4.91 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__singletonD_0,axiom,
% 4.88/4.91 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 4.88/4.91 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Diff__Int_0,axiom,
% 4.88/4.91 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_inf1I_0,axiom,
% 4.88/4.91 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 4.88/4.91 | ~ hBOOL(hAPP(V_B,V_x))
% 4.88/4.91 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_double__diff_0,axiom,
% 4.88/4.91 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A
% 4.88/4.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__eqI_0,axiom,
% 4.88/4.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.88/4.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 4.88/4.91 | c_lessequals(V_y_H,V_x_H,T_a)
% 4.88/4.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__eqI_1,axiom,
% 4.88/4.91 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 4.88/4.91 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 4.88/4.91 | c_lessequals(V_y,V_x,T_a)
% 4.88/4.91 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Un__empty_2,axiom,
% 4.88/4.91 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_image__Un_0,axiom,
% 4.88/4.91 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_strict__linear__order__on__def_1,axiom,
% 4.88/4.91 ( c_Relation_Oirrefl(V_r,T_a)
% 4.88/4.91 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Times__eq__cancel2_0,axiom,
% 4.88/4.91 ( c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) != c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a)
% 4.88/4.91 | ~ c_in(V_x,V_C,T_a)
% 4.88/4.91 | V_A = V_B ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_ImageE_1,axiom,
% 4.88/4.91 ( c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)
% 4.88/4.91 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_in__rtrancl__UnI_0,axiom,
% 4.88/4.91 ( c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_in__rtrancl__UnI_1,axiom,
% 4.88/4.91 ( c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_S,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acc__induct__rule_0,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_P,V_a))
% 4.88/4.91 | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.91 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_not__acc__down_1,axiom,
% 4.88/4.91 ( ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),c_Wellfounded_Oacc(V_R,T_a),T_a)
% 4.88/4.91 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acc__induct__rule_2,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_P,V_a))
% 4.88/4.91 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)))
% 4.88/4.91 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__union__merge_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__union__merge_1,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__unfold_0,axiom,
% 4.88/4.91 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__reflcl__absorb_0,axiom,
% 4.88/4.91 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__reflcl_0,axiom,
% 4.88/4.91 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__r__diff__Id_0,axiom,
% 4.88/4.91 c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acyclic__impl__antisym__rtrancl_0,axiom,
% 4.88/4.91 ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__Un__converse_0,axiom,
% 4.88/4.91 c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__Int__converse_0,axiom,
% 4.88/4.91 c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__reflclI_0,axiom,
% 4.88/4.91 ( c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__Id__on_0,axiom,
% 4.88/4.91 c_Relation_OImage(c_Relation_OId__on(V_A,T_a),V_B,T_a,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_antisym__reflcl_0,axiom,
% 4.88/4.91 ( c_Relation_Oantisym(V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_antisym__reflcl_1,axiom,
% 4.88/4.91 ( c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_total__on__diff__Id_0,axiom,
% 4.88/4.91 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_total__on__diff__Id_1,axiom,
% 4.88/4.91 ( c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__reflcl_0,axiom,
% 4.88/4.91 c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Nitpick_Ortrancl__def_0,axiom,
% 4.88/4.91 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_refl__on__def_0,axiom,
% 4.88/4.91 ( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__unfold_0,axiom,
% 4.88/4.91 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Range__def__raw_0,axiom,
% 4.88/4.91 c_Relation_ORange(v_r,t_a,t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_irrefl__def_1,axiom,
% 4.88/4.91 ( c_Relation_Oirrefl(V_r,T_a)
% 4.88/4.91 | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Id__on__subset__Times_0,axiom,
% 4.88/4.91 c_lessequals(c_Relation_OId__on(V_A,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__Int__eq_0,axiom,
% 4.88/4.91 ( c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__diff__Id_0,axiom,
% 4.88/4.91 ( c_Relation_Otrans(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)
% 4.88/4.91 | ~ c_Relation_Oantisym(V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Nitpick_Orefl_H__def_1,axiom,
% 4.88/4.91 ( c_Nitpick_Orefl_H(V_r,T_a)
% 4.88/4.91 | ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_strict__linear__order__on__def_3,axiom,
% 4.88/4.91 ( c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Ototal__on(V_A,V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Oirrefl(V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_ImageE_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 4.88/4.91 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_not__acc__down_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a),V_R,tc_prod(T_a,T_a))
% 4.88/4.91 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acc__induct__rule_1,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_P,V_a))
% 4.88/4.91 | hBOOL(hAPP(V_P,V_y))
% 4.88/4.91 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Times__subset__cancel2_1,axiom,
% 4.88/4.91 ( c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 4.88/4.91 | ~ c_in(V_x,V_C,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Times__subset__cancel2_0,axiom,
% 4.88/4.91 ( c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 4.88/4.91 | ~ c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))
% 4.88/4.91 | ~ c_in(V_x,V_C,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Sigma__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool))
% 4.88/4.91 | c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b),V_A,T_a)
% 4.88/4.91 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acyclic__insert_1,axiom,
% 4.88/4.91 ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acyclic__insert_2,axiom,
% 4.88/4.91 ( c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 4.88/4.91 | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equiv__class__self_0,axiom,
% 4.88/4.91 ( c_in(V_a,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),T_a)
% 4.88/4.91 | ~ c_in(V_a,V_A,T_a)
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__subset_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__Int__subset_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_lessequals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__singleton__iff_1,axiom,
% 4.88/4.91 ( c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a)
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__singleton__iff_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 4.88/4.91 | ~ c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equiv__class__eq__iff_0,axiom,
% 4.88/4.91 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equiv__class__eq_0,axiom,
% 4.88/4.91 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_eq__equiv__class_0,axiom,
% 4.88/4.91 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 4.88/4.91 | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_b,V_A,T_a)
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equiv__class__eq__iff_3,axiom,
% 4.88/4.91 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 4.88/4.91 | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_y,V_A,T_a)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_eq__equiv__class__iff_1,axiom,
% 4.88/4.91 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_y,V_A,T_a)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_a)
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_eq__equiv__class__iff_0,axiom,
% 4.88/4.91 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 4.88/4.91 | ~ c_in(V_y,V_A,T_a)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_a)
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 4.88/4.91 | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__subset__Sigma__aux_0,axiom,
% 4.88/4.91 ( c_in(V_a,V_A,T_a)
% 4.88/4.91 | V_a = V_b
% 4.88/4.91 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equiv__class__subset_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__equiv__class_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_b,V_A,T_a)
% 4.88/4.91 | ~ c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__insert_2,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 4.88/4.91 | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_refl__on__comp__subset_0,axiom,
% 4.88/4.91 ( c_lessequals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_tranclD_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_tranclD2_1,axiom,
% 4.88/4.91 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),V_R,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__O__subset_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Relation_Orel__comp(V_r,V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__mono_0,axiom,
% 4.88/4.91 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_s,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__insert_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(V_r,T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_image__subset__iff_0,axiom,
% 4.88/4.91 ( c_in(hAPP(V_f,V_x),V_B,T_a)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_b)
% 4.88/4.91 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__image_0,axiom,
% 4.88/4.91 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_linorder__linear_0,axiom,
% 4.88/4.91 ( ~ class_Orderings_Olinorder(T_a)
% 4.88/4.91 | c_lessequals(V_y,V_x,T_a)
% 4.88/4.91 | c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__image__iff_2,axiom,
% 4.88/4.91 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 4.88/4.91 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_image__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Domain__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_single__valued__subset_0,axiom,
% 4.88/4.91 ( c_Relation_Osingle__valued(V_r,T_a,T_b)
% 4.88/4.91 | ~ c_Relation_Osingle__valued(V_s,T_a,T_b)
% 4.88/4.91 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rev__predicate1D_0,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_Q,V_x))
% 4.88/4.91 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_antisym__subset_0,axiom,
% 4.88/4.91 ( c_Relation_Oantisym(V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Oantisym(V_s,T_a)
% 4.88/4.91 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_order__eq__refl_0,axiom,
% 4.88/4.91 ( ~ class_Orderings_Opreorder(T_a)
% 4.88/4.91 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_order__eq__iff_0,axiom,
% 4.88/4.91 ( ~ class_Orderings_Oorder(T_a)
% 4.88/4.91 | c_lessequals(V_x,V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__subset_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(V_p,T_a)
% 4.88/4.91 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_predicate1D_0,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_Q,V_x))
% 4.88/4.91 | ~ hBOOL(hAPP(V_P,V_x))
% 4.88/4.91 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__trans_0,axiom,
% 4.88/4.91 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__refl_0,axiom,
% 4.88/4.91 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equalityE_0,axiom,
% 4.88/4.91 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_order__trans_0,axiom,
% 4.88/4.91 ( ~ class_Orderings_Opreorder(T_a)
% 4.88/4.91 | c_lessequals(V_x,V_z,T_a)
% 4.88/4.91 | ~ c_lessequals(V_y,V_z,T_a)
% 4.88/4.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_xt1_I6_J_0,axiom,
% 4.88/4.91 ( ~ class_Orderings_Oorder(T_a)
% 4.88/4.91 | c_lessequals(V_z,V_x,T_a)
% 4.88/4.91 | ~ c_lessequals(V_z,V_y,T_a)
% 4.88/4.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__subset_2,axiom,
% 4.88/4.91 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_in(V_x,V_B,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__code_1,axiom,
% 4.88/4.91 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_image__insert_0,axiom,
% 4.88/4.91 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__subset__rtrancl_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_order__antisym__conv_0,axiom,
% 4.88/4.91 ( ~ class_Orderings_Oorder(T_a)
% 4.88/4.91 | V_x = V_y
% 4.88/4.91 | ~ c_lessequals(V_x,V_y,T_a)
% 4.88/4.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_order__antisym_0,axiom,
% 4.88/4.91 ( ~ class_Orderings_Oorder(T_a)
% 4.88/4.91 | V_x = V_y
% 4.88/4.91 | ~ c_lessequals(V_y,V_x,T_a)
% 4.88/4.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_order__eq__iff_2,axiom,
% 4.88/4.91 ( ~ class_Orderings_Oorder(T_a)
% 4.88/4.91 | V_x = V_y
% 4.88/4.91 | ~ c_lessequals(V_y,V_x,T_a)
% 4.88/4.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_set__eq__subset_2,axiom,
% 4.88/4.91 ( V_A = V_B
% 4.88/4.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equalityI_0,axiom,
% 4.88/4.91 ( V_A = V_B
% 4.88/4.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__insertI_0,axiom,
% 4.88/4.91 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Domain__insert_0,axiom,
% 4.88/4.91 c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b) = c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__code_0,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_A,V_x))
% 4.88/4.91 | V_y = V_x
% 4.88/4.91 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__absorb2_0,axiom,
% 4.88/4.91 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__insertI2_0,axiom,
% 4.88/4.91 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__subset_1,axiom,
% 4.88/4.91 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rel__comp__mono_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__commute_0,axiom,
% 4.88/4.91 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__subset_0,axiom,
% 4.88/4.91 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a)
% 4.88/4.91 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__subset_0,axiom,
% 4.88/4.91 ( c_in(V_x,V_B,T_a)
% 4.88/4.91 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__code_2,axiom,
% 4.88/4.91 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 4.88/4.91 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__insert__iff_2,axiom,
% 4.88/4.91 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | c_in(V_x,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__insert__iff_1,axiom,
% 4.88/4.91 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | c_in(V_x,V_A,T_a)
% 4.88/4.91 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__insert_1,axiom,
% 4.88/4.91 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | c_in(V_x,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__insert_0,axiom,
% 4.88/4.91 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | c_in(V_x,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acc__subset_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_lessequals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Range__insert_0,axiom,
% 4.88/4.91 c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a) = c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_le__funD_0,axiom,
% 4.88/4.91 ( ~ class_HOL_Oord(T_b)
% 4.88/4.91 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 4.88/4.91 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__iff_2,axiom,
% 4.88/4.91 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)
% 4.88/4.91 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insertCI_0,axiom,
% 4.88/4.91 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)
% 4.88/4.91 | ~ c_in(V_a,V_B,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subset__iff_0,axiom,
% 4.88/4.91 ( c_in(V_t,V_B,T_a)
% 4.88/4.91 | ~ c_in(V_t,V_A,T_a)
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_set__rev__mp_0,axiom,
% 4.88/4.91 ( c_in(V_x,V_B,T_a)
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 4.88/4.91 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_subsetD_0,axiom,
% 4.88/4.91 ( c_in(V_c,V_B,T_a)
% 4.88/4.91 | ~ c_in(V_c,V_A,T_a)
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_set__mp_0,axiom,
% 4.88/4.91 ( c_in(V_x,V_B,T_a)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_a)
% 4.88/4.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insertE_0,axiom,
% 4.88/4.91 ( c_in(V_a,V_A,T_a)
% 4.88/4.91 | V_a = V_b
% 4.88/4.91 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__iff_1,axiom,
% 4.88/4.91 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insertI1_0,axiom,
% 4.88/4.91 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insertCI_1,axiom,
% 4.88/4.91 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__ident_0,axiom,
% 4.88/4.91 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 4.88/4.91 | c_in(V_x,V_B,T_a)
% 4.88/4.91 | c_in(V_x,V_A,T_a)
% 4.88/4.91 | V_A = V_B ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_insert__absorb_0,axiom,
% 4.88/4.91 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 4.88/4.91 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__insert_1,axiom,
% 4.88/4.91 ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_tranclD_1,axiom,
% 4.88/4.91 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_tranclD2_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__trans__comp__subset_0,axiom,
% 4.88/4.91 ( c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__id_0,axiom,
% 4.88/4.91 ( c_Transitive__Closure_Otrancl(V_r,T_a) = V_r
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__Id__on_0,axiom,
% 4.88/4.91 c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__trancl_0,axiom,
% 4.88/4.91 c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__rtrancl_0,axiom,
% 4.88/4.91 c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__converse_0,axiom,
% 4.88/4.91 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__converse_1,axiom,
% 4.88/4.91 ( c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__inv__image_0,axiom,
% 4.88/4.91 ( c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 4.88/4.91 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trans__Id_0,axiom,
% 4.88/4.91 c_Relation_Otrans(c_Relation_OId(T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_equiv_Otrans_0,axiom,
% 4.88/4.91 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.91 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_r__into__rtrancl_0,axiom,
% 4.88/4.91 ( c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_r__into__trancl_H_0,axiom,
% 4.88/4.91 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__into__trancl2_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__into__trancl1_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__eq__or__trancl_2,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | V_x = V_y ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__eq__or__trancl_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | V_x = V_y
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtranclD_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | V_a = V_b
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__converseI_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__converseD_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_single__valued__confluent_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_z,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_Relation_Osingle__valued(V_r,T_a,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__into__rtrancl_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__rtrancl__trancl_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__trancl__trancl_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__converseD_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__converseI_0,axiom,
% 4.88/4.91 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a))
% 4.88/4.91 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Product__Type_Osplit_0,axiom,
% 4.88/4.91 hAPP(c_split(V_f,T_b,T_c,T_a),c_Pair(V_a,V_b,T_b,T_c)) = hAPP(hAPP(V_f,V_a),V_b) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_split__case__cert_0,axiom,
% 4.88/4.91 hAPP(c_split(V_f,T_a,T_b,T_c),c_Pair(V_a,V_b,T_a,T_b)) = hAPP(hAPP(V_f,V_a),V_b) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_splitD_H_0,axiom,
% 4.88/4.91 ( hBOOL(hAPP(hAPP(hAPP(V_R,V_a),V_b),V_c))
% 4.88/4.91 | ~ hBOOL(hAPP(hAPP(c_split(V_R,T_a,T_b,tc_fun(T_c,tc_bool)),c_Pair(V_a,V_b,T_a,T_b)),V_c)) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_imageI_0,axiom,
% 4.88/4.91 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_image__eqI_0,axiom,
% 4.88/4.91 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)
% 4.88/4.91 | ~ c_in(V_x,V_A,T_b) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_image__iff_2,axiom,
% 4.88/4.91 ( ~ c_in(V_x,V_A,T_b)
% 4.88/4.91 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rev__image__eqI_0,axiom,
% 4.88/4.91 ( ~ c_in(V_x,V_A,T_aa)
% 4.88/4.91 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acc__wfD_0,axiom,
% 4.88/4.91 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_single__valued__Id__on_0,axiom,
% 4.88/4.91 c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__trancl_0,axiom,
% 4.88/4.91 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 4.88/4.91 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acc__induct_2,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_P,V_a))
% 4.88/4.91 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)))
% 4.88/4.91 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_acc_Oinducts_2,axiom,
% 4.88/4.91 ( hBOOL(hAPP(V_P,V_x))
% 4.88/4.91 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r)))
% 4.88/4.91 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__converse_0,axiom,
% 4.88/4.91 ( c_Relation_Osym(V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__converse_1,axiom,
% 4.88/4.91 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 4.88/4.91 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__domain_0,axiom,
% 4.88/4.91 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__iff_0,axiom,
% 4.88/4.91 ( c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b)
% 4.88/4.91 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__Id_0,axiom,
% 4.88/4.91 c_Relation_Osym(c_Relation_OId(T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Id__O__R_0,axiom,
% 4.88/4.91 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_R__O__Id_0,axiom,
% 4.88/4.91 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_antisym__Id__on_0,axiom,
% 4.88/4.91 c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__converse__trancl_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_refl__on__converse_0,axiom,
% 4.88/4.91 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 4.88/4.91 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_refl__on__converse_1,axiom,
% 4.88/4.91 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 4.88/4.91 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__rtrancl_0,axiom,
% 4.88/4.91 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 4.88/4.91 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__comp__self_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__comp__self_1,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(V_R,T_a)
% 4.88/4.91 | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Image__Id_0,axiom,
% 4.88/4.91 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_single__valued__Id_0,axiom,
% 4.88/4.91 c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_Domain__Id__on_0,axiom,
% 4.88/4.91 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__conv__converse__eq_0,axiom,
% 4.88/4.91 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r
% 4.88/4.91 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__conv__converse__eq_1,axiom,
% 4.88/4.91 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r
% 4.88/4.91 | c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_trancl__range_0,axiom,
% 4.88/4.91 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_converse__rel__comp_0,axiom,
% 4.88/4.91 c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a) = c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__Id__on_0,axiom,
% 4.88/4.91 c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_refl__on__Id__on_0,axiom,
% 4.88/4.91 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__inv__image_0,axiom,
% 4.88/4.91 ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 4.88/4.91 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_r__comp__rtrancl__eq_0,axiom,
% 4.88/4.91 c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_sym__inv__image_0,axiom,
% 4.88/4.91 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 4.88/4.91 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_rtrancl__trancl__absorb_0,axiom,
% 4.88/4.91 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_converse__Id_0,axiom,
% 4.88/4.91 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ).
% 4.88/4.91
% 4.88/4.91 cnf(cls_wf__trancl_0,axiom,
% 4.88/4.92 ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_O__assoc_0,axiom,
% 4.88/4.92 c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b) = c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_converse__inv__image_0,axiom,
% 4.88/4.92 c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a) = c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trancl__converse_0,axiom,
% 4.88/4.92 c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_converse__Id__on_0,axiom,
% 4.88/4.92 c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a) = c_Relation_OId__on(V_A,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_comp__equivI_0,axiom,
% 4.88/4.92 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r
% 4.88/4.92 | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_antisym__Id_0,axiom,
% 4.88/4.92 c_Relation_Oantisym(c_Relation_OId(T_a),T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Range__converse_0,axiom,
% 4.88/4.92 c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = c_Relation_ODomain(V_r,T_a,T_b) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_wf__eq__minimal_0,axiom,
% 4.88/4.92 ( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a)
% 4.88/4.92 | ~ c_in(V_xa,V_Q,T_a)
% 4.88/4.92 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Range__Id__on_0,axiom,
% 4.88/4.92 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_single__valued__rel__comp_0,axiom,
% 4.88/4.92 ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c)
% 4.88/4.92 | ~ c_Relation_Osingle__valued(V_s,T_b,T_c)
% 4.88/4.92 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_converse__converse_0,axiom,
% 4.88/4.92 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_equiv__comp__eq_0,axiom,
% 4.88/4.92 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) = V_r
% 4.88/4.92 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rtrancl__idemp__self__comp_0,axiom,
% 4.88/4.92 c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_antisym__converse_0,axiom,
% 4.88/4.92 ( c_Relation_Oantisym(V_r,T_a)
% 4.88/4.92 | ~ c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_antisym__converse_1,axiom,
% 4.88/4.92 ( c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 4.88/4.92 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_Oinduct_2,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_P,V_x))
% 4.88/4.92 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r)))
% 4.88/4.92 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_equiv_Orefl__on_0,axiom,
% 4.88/4.92 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 4.88/4.92 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rtrancl__converse_0,axiom,
% 4.88/4.92 c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_wfE__min_0,axiom,
% 4.88/4.92 ( c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),V_Q,T_a)
% 4.88/4.92 | ~ c_in(V_x,V_Q,T_a)
% 4.88/4.92 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_equiv_Osym_0,axiom,
% 4.88/4.92 ( c_Relation_Osym(V_r,T_a)
% 4.88/4.92 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_OaccI_1,axiom,
% 4.88/4.92 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_congruent2__implies__congruent_0,axiom,
% 4.88/4.92 ( c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c)
% 4.88/4.92 | ~ c_in(V_a,V_A,T_a)
% 4.88/4.92 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c)
% 4.88/4.92 | ~ c_Equiv__Relations_Oequiv(V_A,V_r1,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Domain__converse_0,axiom,
% 4.88/4.92 c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) = c_Relation_ORange(V_r,T_b,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trancl__unfold__right_0,axiom,
% 4.88/4.92 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trancl__unfold__left_0,axiom,
% 4.88/4.92 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Range__def_0,axiom,
% 4.88/4.92 c_Relation_ORange(V_r,T_b,T_a) = c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_total__on__converse_0,axiom,
% 4.88/4.92 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 4.88/4.92 | ~ c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_total__on__converse_1,axiom,
% 4.88/4.92 ( c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 4.88/4.92 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc__induct_0,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_P,V_a))
% 4.88/4.92 | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trancl__rtrancl__absorb_0,axiom,
% 4.88/4.92 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rtrancl__idemp_0,axiom,
% 4.88/4.92 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_Oinduct_1,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_P,V_x))
% 4.88/4.92 | hBOOL(hAPP(V_P,V_y))
% 4.88/4.92 | ~ c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 4.88/4.92 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_wfE__min_1,axiom,
% 4.88/4.92 ( ~ c_in(V_y,V_Q,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_x,V_Q,T_a)
% 4.88/4.92 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_RangeE_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 4.88/4.92 | ~ c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_OaccI_0,axiom,
% 4.88/4.92 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc__downwards__aux_0,axiom,
% 4.88/4.92 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc__downwards_0,axiom,
% 4.88/4.92 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_Oinducts_0,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_P,V_x))
% 4.88/4.92 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 4.88/4.92 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Not__Domain__rtrancl_1,axiom,
% 4.88/4.92 ( c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a)
% 4.88/4.92 | c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_Oinducts_1,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_P,V_x))
% 4.88/4.92 | hBOOL(hAPP(V_P,V_y))
% 4.88/4.92 | ~ c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 4.88/4.92 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_pair__imageI_0,axiom,
% 4.88/4.92 ( c_in(hAPP(hAPP(V_f,V_a),V_b),c_Set_Oimage(c_split(V_f,T_a,T_b,T_c),V_A,tc_prod(T_a,T_b),T_c),T_c)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_A,tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_DomainE_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_Oinduct_0,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_P,V_x))
% 4.88/4.92 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a))
% 4.88/4.92 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc__induct_1,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_P,V_a))
% 4.88/4.92 | hBOOL(hAPP(V_P,V_y))
% 4.88/4.92 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_wf__eq__minimal_1,axiom,
% 4.88/4.92 ( ~ c_in(V_y,V_Q,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_xa,V_Q,T_a)
% 4.88/4.92 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Domain__iff_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Image__iff_1,axiom,
% 4.88/4.92 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 4.88/4.92 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Not__Domain__rtrancl_0,axiom,
% 4.88/4.92 ( V_x = V_y
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Range__iff_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 4.88/4.92 | ~ c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_transI_2,axiom,
% 4.88/4.92 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XtransI__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__XtransI__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_transI_1,axiom,
% 4.88/4.92 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.92 | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XtransI__1__2(V_r,T_a),c_ATP__Linkup_Osko__Relation__XtransI__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trans__def_1,axiom,
% 4.88/4.92 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.92 | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trans__def_3,axiom,
% 4.88/4.92 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_transI_0,axiom,
% 4.88/4.92 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.92 | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XtransI__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__XtransI__1__2(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trans__def_2,axiom,
% 4.88/4.92 ( c_Relation_Otrans(V_r,T_a)
% 4.88/4.92 | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_mem__splitI_0,axiom,
% 4.88/4.92 ( c_in(V_z,hAPP(c_split(V_c,T_b,T_c,tc_fun(T_a,tc_bool)),c_Pair(V_a,V_b,T_b,T_c)),T_a)
% 4.88/4.92 | ~ c_in(V_z,hAPP(hAPP(V_c,V_a),V_b),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_congruent2_Ocongruent2_0,axiom,
% 4.88/4.92 ( hAPP(hAPP(V_f,V_y1),V_y2) = hAPP(hAPP(V_f,V_z1),V_z2)
% 4.88/4.92 | ~ c_in(c_Pair(V_y2,V_z2,T_b,T_b),V_r2,tc_prod(T_b,T_b))
% 4.88/4.92 | ~ c_in(c_Pair(V_y1,V_z1,T_a,T_a),V_r1,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_single__valuedD_0,axiom,
% 4.88/4.92 ( V_y = V_z
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_z,T_a,T_b),V_r,tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_r,tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_tfl__cut__apply_0,axiom,
% 4.88/4.92 ( hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_cut__apply_0,axiom,
% 4.88/4.92 ( hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__rel__def_1,axiom,
% 4.88/4.92 ( c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__rel__def_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_FunDef_Oin__rel(V_R,V_x,V_y,T_a,T_b) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_converse__iff_1,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_converseI_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_b,V_a,T_b,T_a),c_Relation_Oconverse(V_r,T_a,T_b),tc_prod(T_b,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_converseD_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_irrefl__def_0,axiom,
% 4.88/4.92 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Oirrefl(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trancl__into__trancl2_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_converse__rtrancl__into__rtrancl_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trancl_Or__into__trancl_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rtrancl__trans_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rtrancl_Ortrancl__refl_0,axiom,
% 4.88/4.92 c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rtrancl__eq__or__trancl_1,axiom,
% 4.88/4.92 c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_wf__asym_0,axiom,
% 4.88/4.92 ( ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_antisym__def_0,axiom,
% 4.88/4.92 ( V_x = V_y
% 4.88/4.92 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_antisymD_0,axiom,
% 4.88/4.92 ( V_a = V_b
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_congruent_Ocongruent_0,axiom,
% 4.88/4.92 ( hAPP(V_f,V_y) = hAPP(V_f,V_z)
% 4.88/4.92 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Id__on__iff_0,axiom,
% 4.88/4.92 ( V_x = V_y
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_cuts__eq_0,axiom,
% 4.88/4.92 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) != c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)
% 4.88/4.92 | hAPP(V_f,V_y) = hAPP(V_g,V_y)
% 4.88/4.92 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_pair__in__Id__conv_0,axiom,
% 4.88/4.92 ( V_a = V_b
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Nitpick_Orefl_H__def_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Nitpick_Orefl_H(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_wf__irrefl_0,axiom,
% 4.88/4.92 ( ~ c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__inv__image_1,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__inv__image_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_sym__def_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_symD_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rel__compI_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_prod(T_a,T_c))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_b,T_c),V_s,tc_prod(T_b,T_c))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_r__r__into__trancl_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_R,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trancl__trans_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_pair__in__Id__conv_1,axiom,
% 4.88/4.92 c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_IdI_0,axiom,
% 4.88/4.92 c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mktop_5,axiom,
% 4.88/4.92 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_x = V_y
% 4.88/4.92 | V_x = V_z ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mktop_3,axiom,
% 4.88/4.92 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_y = V_z
% 4.88/4.92 | V_x = V_z ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mktop_1,axiom,
% 4.88/4.92 ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mktop_0,axiom,
% 4.88/4.92 ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mktop_2,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_y = V_z
% 4.88/4.92 | ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mkbot_4,axiom,
% 4.88/4.92 ( V_x = V_y
% 4.88/4.92 | V_y = V_x
% 4.88/4.92 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mkbot_1,axiom,
% 4.88/4.92 ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mkbot_0,axiom,
% 4.88/4.92 ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mkbot_5,axiom,
% 4.88/4.92 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_x = V_y
% 4.88/4.92 | V_y = V_z ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mkbot_3,axiom,
% 4.88/4.92 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_x = V_z
% 4.88/4.92 | V_y = V_z ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mktop_4,axiom,
% 4.88/4.92 ( V_xa = V_x
% 4.88/4.92 | V_xa = V_x
% 4.88/4.92 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_in__mkbot_2,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_x = V_z
% 4.88/4.92 | ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_mem__Sigma__iff_2,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_in(V_b,hAPP(V_B,V_a),T_b)
% 4.88/4.92 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_SigmaI_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_in(V_b,hAPP(V_B,V_a),T_b)
% 4.88/4.92 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc__downward_0,axiom,
% 4.88/4.92 ( c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_acc_Ocases_0,axiom,
% 4.88/4.92 ( c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_rev__ImageI_0,axiom,
% 4.88/4.92 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))
% 4.88/4.92 | ~ c_in(V_a,V_A,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Image__iff_2,axiom,
% 4.88/4.92 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))
% 4.88/4.92 | ~ c_in(V_x,V_A,T_b) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Id__on__iff_1,axiom,
% 4.88/4.92 ( c_in(V_x,V_A,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Id__on__eqI_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_x,V_A,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_equiv__class__eq__iff_2,axiom,
% 4.88/4.92 ( c_in(V_y,V_A,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_equiv__class__eq__iff_1,axiom,
% 4.88/4.92 ( c_in(V_x,V_A,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Range__iff_1,axiom,
% 4.88/4.92 ( c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_RangeI_0,axiom,
% 4.88/4.92 ( c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Domain__iff_1,axiom,
% 4.88/4.92 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_DomainI_0,axiom,
% 4.88/4.92 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_SigmaD2_0,axiom,
% 4.88/4.92 ( c_in(V_b,hAPP(V_B,V_a),T_b)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_SigmaD1_0,axiom,
% 4.88/4.92 ( c_in(V_a,V_A,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_total__on__def_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | V_x = V_xa
% 4.88/4.92 | ~ c_in(V_xa,V_A,T_a)
% 4.88/4.92 | ~ c_in(V_x,V_A,T_a)
% 4.88/4.92 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_refl__on__def_1,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_x,V_A,T_a)
% 4.88/4.92 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_refl__onD2_0,axiom,
% 4.88/4.92 ( c_in(V_y,V_A,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_refl__onD1_0,axiom,
% 4.88/4.92 ( c_in(V_x,V_A,T_a)
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_refl__onD_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(V_a,V_A,T_a)
% 4.88/4.92 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Pair__eq_1,axiom,
% 4.88/4.92 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 4.88/4.92 | V_b = V_b_H ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_Pair__eq_0,axiom,
% 4.88/4.92 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 4.88/4.92 | V_a = V_a_H ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_trans__def_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_transD_0,axiom,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))
% 4.88/4.92 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_mem__def_1,axiom,
% 4.88/4.92 ( c_in(V_x,V_S,T_a)
% 4.88/4.92 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_mem__def_0,axiom,
% 4.88/4.92 ( hBOOL(hAPP(V_S,V_x))
% 4.88/4.92 | ~ c_in(V_x,V_S,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_0,negated_conjecture,
% 4.88/4.92 c_Relation_Otrans(hAPP(v_P,V_x),tc_Arrow__Order__Mirabelle_Oalt) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_1,negated_conjecture,
% 4.88/4.92 ~ c_in(c_Pair(V_xb,V_xb,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_2,negated_conjecture,
% 4.88/4.92 c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_3,negated_conjecture,
% 4.88/4.92 c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_4,negated_conjecture,
% 4.88/4.92 ~ c_in(c_Pair(V_xa,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_5,negated_conjecture,
% 4.88/4.92 ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_6,negated_conjecture,
% 4.88/4.92 ( c_in(c_Pair(V_y,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | c_in(c_Pair(V_xa,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_xa = V_y ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_7,negated_conjecture,
% 4.88/4.92 ( c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_x = V_y ) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_conjecture_8,negated_conjecture,
% 4.88/4.92 ( c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
% 4.88/4.92 | V_a = V_b ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 4.88/4.92 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 4.88/4.92 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 4.88/4.92 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 4.88/4.92 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 4.88/4.92 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Orderings_Opreorder(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 4.88/4.92 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Lattices_Olattice(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 4.88/4.92 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Orderings_Oorder(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__Orderings_Obot,axiom,
% 4.88/4.92 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_Orderings_Obot(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_fun__HOL_Oord,axiom,
% 4.88/4.92 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 4.88/4.92 | ~ class_HOL_Oord(T_1) ) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 4.88/4.92 class_Lattices_Oupper__semilattice(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 4.88/4.92 class_Lattices_Olower__semilattice(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 4.88/4.92 class_Lattices_Odistrib__lattice(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 4.88/4.92 class_Lattices_Obounded__lattice(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 4.88/4.92 class_Orderings_Opreorder(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 4.88/4.92 class_Lattices_Olattice(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 4.88/4.92 class_Orderings_Oorder(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__Orderings_Obot,axiom,
% 4.88/4.92 class_Orderings_Obot(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(clsarity_bool__HOL_Oord,axiom,
% 4.88/4.92 class_HOL_Oord(tc_bool) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 4.88/4.92 c_fequal(V_x,V_x,T_a) ).
% 4.88/4.92
% 4.88/4.92 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 4.88/4.92 ( V_X = V_Y
% 4.88/4.92 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 4.88/4.92
% 4.88/4.92 %------------------------------------------------------------------------------
% 4.88/4.92 %-------------------------------------------
% 4.88/4.92 % Proof found
% 4.88/4.92 % SZS status Theorem for theBenchmark
% 4.88/4.92 % SZS output start Proof
% 4.88/4.92 %ClaNum:821(EqnAxiom:220)
% 4.88/4.92 %VarNum:5677(SingletonVarNum:1846)
% 4.88/4.92 %MaxLitNum:6
% 4.88/4.92 %MaxfuncDepth:5
% 4.88/4.92 %SharedTerms:24
% 4.88/4.92 %goalClause: 230 234 311 386 387 388 680 687 713
% 4.88/4.92 %singleGoalClaCount:6
% 4.88/4.92 [221]P1(a1)
% 4.88/4.92 [222]P23(a1)
% 4.88/4.92 [223]P2(a1)
% 4.88/4.92 [224]P25(a1)
% 4.88/4.92 [225]P3(a1)
% 4.88/4.92 [226]P24(a1)
% 4.88/4.92 [227]P28(a1)
% 4.88/4.92 [228]P29(a1)
% 4.88/4.92 [229]P4(a1)
% 4.88/4.92 [230]P5(f51(a50),a2)
% 4.88/4.92 [311]P22(f35(a54,a55,a2,a2),f51(a50),f53(a2,a2))
% 4.88/4.92 [387]~P22(f35(a54,a55,a2,a2),f38(a50,a56),f53(a2,a2))
% 4.88/4.92 [231]P6(f3(x2311),x2311)
% 4.88/4.92 [232]P5(f3(x2321),x2321)
% 4.88/4.92 [233]P7(f3(x2331),x2331)
% 4.88/4.92 [234]P5(f38(a50,x2341),a2)
% 4.88/4.92 [241]P14(f3(x2411),x2411,x2411)
% 4.88/4.92 [386]~P22(f35(x3861,x3861,a2,a2),f51(a50),f53(a2,a2))
% 4.88/4.92 [242]E(f41(f3(x2421),x2421,x2421),f3(x2421))
% 4.88/4.92 [240]P18(x2401,x2401,x2402)
% 4.88/4.92 [235]P6(f39(x2351,x2352),x2352)
% 4.88/4.92 [236]P5(f40(x2361,x2362),x2362)
% 4.88/4.92 [237]P5(f39(x2371,x2372),x2372)
% 4.88/4.92 [238]P7(f39(x2381,x2382),x2382)
% 4.88/4.92 [244]P21(x2441,x2441,f52(x2442,a1))
% 4.88/4.92 [247]P15(x2471,f39(x2471,x2472),x2472)
% 4.88/4.92 [248]P14(f39(x2481,x2482),x2482,x2482)
% 4.88/4.92 [313]P22(f35(x3131,x3131,x3132,x3132),f3(x3132),f53(x3132,x3132))
% 4.88/4.92 [388]~P22(f35(x3881,x3881,a2,a2),f38(a50,x3882),f53(a2,a2))
% 4.88/4.92 [239]E(f40(f40(x2391,x2392),x2392),f40(x2391,x2392))
% 4.88/4.92 [245]E(f4(x2451,x2451,f52(x2452,a1)),x2451)
% 4.88/4.92 [246]E(f5(x2461,x2461,f52(x2462,a1)),x2461)
% 4.88/4.92 [249]E(f32(f39(x2491,x2492),x2492,x2492),x2491)
% 4.88/4.92 [250]E(f41(f39(x2501,x2502),x2502,x2502),f39(x2501,x2502))
% 4.88/4.92 [251]E(f6(x2511,x2511,f52(x2512,a1)),f33(f52(x2512,a1)))
% 4.88/4.92 [252]P17(f33(f52(x2521,a1)),x2522,x2521)
% 4.88/4.92 [254]P21(f33(f52(x2541,a1)),x2542,f52(x2541,a1))
% 4.88/4.92 [255]E(f4(x2551,f33(f52(x2552,a1)),f52(x2552,a1)),x2551)
% 4.88/4.92 [256]E(f6(x2561,f33(f52(x2562,a1)),f52(x2562,a1)),x2561)
% 4.88/4.92 [257]E(f4(f33(f52(x2571,a1)),x2572,f52(x2571,a1)),x2572)
% 4.88/4.92 [260]E(f5(x2601,f33(f52(x2602,a1)),f52(x2602,a1)),f33(f52(x2602,a1)))
% 4.88/4.92 [261]E(f6(f33(f52(x2611,a1)),x2612,f52(x2611,a1)),f33(f52(x2611,a1)))
% 4.88/4.92 [262]E(f5(f33(f52(x2621,a1)),x2622,f52(x2621,a1)),f33(f52(x2621,a1)))
% 4.88/4.92 [270]E(f41(f40(x2701,x2702),x2702,x2702),f40(f41(x2701,x2702,x2702),x2702))
% 4.88/4.92 [280]E(f42(f3(x2801),x2802,x2801,x2801),x2802)
% 4.88/4.92 [341]E(f46(f40(x3411,x3412),f40(x3411,x3412),x3412,x3412,x3412),f40(x3411,x3412))
% 4.88/4.92 [359]E(f46(f40(x3591,x3592),x3591,x3592,x3592,x3592),f46(x3591,f40(x3591,x3592),x3592,x3592,x3592))
% 4.88/4.92 [360]P5(f46(x3601,f40(x3601,x3602),x3602,x3602,x3602),x3602)
% 4.88/4.92 [384]~P22(x3841,f33(f52(x3842,a1)),x3842)
% 4.88/4.92 [267]E(f4(f40(x2671,x2672),f3(x2672),f52(f53(x2672,x2672),a1)),f40(x2671,x2672))
% 4.88/4.92 [272]E(f32(f41(f39(x2721,x2722),x2722,x2722),x2722,x2722),x2721)
% 4.88/4.92 [283]P16(f6(x2831,f3(x2832),f52(f53(x2832,x2832),a1)),x2832)
% 4.88/4.92 [307]P6(f4(x3071,f41(x3071,x3072,x3072),f52(f53(x3072,x3072),a1)),x3072)
% 4.88/4.92 [308]P6(f5(x3081,f41(x3081,x3082,x3082),f52(f53(x3082,x3082),a1)),x3082)
% 4.88/4.92 [335]P21(f39(x3351,x3352),f36(x3351,f7(x3351,f52(x3352,a1),x3352),x3352,x3352),f52(f53(x3352,x3352),a1))
% 4.88/4.92 [344]E(f46(f40(x3441,x3442),f40(f40(x3441,x3442),x3442),x3442,x3442,x3442),f40(x3441,x3442))
% 4.88/4.92 [361]E(f40(f46(x3611,f40(x3611,x3612),x3612,x3612,x3612),x3612),f40(x3611,x3612))
% 4.88/4.92 [362]E(f32(f46(x3621,f40(x3621,x3622),x3622,x3622,x3622),x3622,x3622),f32(x3621,x3622,x3622))
% 4.88/4.92 [363]E(f4(f3(x3631),f46(f40(x3632,x3631),x3632,x3631,x3631,x3631),f52(f53(x3631,x3631),a1)),f40(x3632,x3631))
% 4.88/4.92 [365]E(f4(f46(x3651,f40(x3651,x3652),x3652,x3652,x3652),f3(x3652),f52(f53(x3652,x3652),a1)),f40(x3651,x3652))
% 4.88/4.92 [373]E(f46(f41(x3731,x3732,x3732),f40(f41(x3731,x3732,x3732),x3732),x3732,x3732,x3732),f41(f46(x3731,f40(x3731,x3732),x3732,x3732,x3732),x3732,x3732))
% 4.88/4.92 [379]E(f4(x3791,f46(f46(x3791,f40(x3791,x3792),x3792,x3792,x3792),x3791,x3792,x3792,x3792),f52(f53(x3792,x3792),a1)),f46(x3791,f40(x3791,x3792),x3792,x3792,x3792))
% 4.88/4.92 [385]~P31(f38(f33(f52(x3851,a1)),x3852))
% 4.88/4.92 [284]E(f40(f4(x2841,f3(x2842),f52(f53(x2842,x2842),a1)),x2842),f40(x2841,x2842))
% 4.88/4.92 [285]E(f40(f6(x2851,f3(x2852),f52(f53(x2852,x2852),a1)),x2852),f40(x2851,x2852))
% 4.88/4.92 [374]E(f32(f41(f46(x3741,f40(x3741,x3742),x3742,x3742,x3742),x3742,x3742),x3742,x3742),f32(f41(x3741,x3742,x3742),x3742,x3742))
% 4.88/4.92 [354]E(f46(f4(x3541,f3(x3542),f52(f53(x3542,x3542),a1)),f40(f4(x3541,f3(x3542),f52(f53(x3542,x3542),a1)),x3542),x3542,x3542,x3542),f40(x3541,x3542))
% 4.88/4.92 [265]P22(x2651,f43(x2651,x2652,x2653),x2653)
% 4.88/4.92 [269]P21(x2691,f43(x2692,x2691,x2693),f52(x2693,a1))
% 4.88/4.92 [315]P22(f35(x3151,x3151,x3152,x3152),f40(x3153,x3152),f53(x3152,x3152))
% 4.88/4.92 [389]~P22(f35(x3891,x3892,a2,a2),f8(x3893,x3891),f53(a2,a2))
% 4.88/4.92 [390]~P22(f35(x3901,x3902,a2,a2),f9(x3903,x3902),f53(a2,a2))
% 4.88/4.92 [258]E(f4(x2581,x2582,f52(x2583,a1)),f4(x2582,x2581,f52(x2583,a1)))
% 4.88/4.92 [259]E(f5(x2591,x2592,f52(x2593,a1)),f5(x2592,x2591,f52(x2593,a1)))
% 4.88/4.92 [266]E(f41(f41(x2661,x2662,x2663),x2663,x2662),x2661)
% 4.88/4.92 [273]E(f43(x2731,f43(x2731,x2732,x2733),x2733),f43(x2731,x2732,x2733))
% 4.88/4.92 [274]P21(x2741,f4(x2742,x2741,f52(x2743,a1)),f52(x2743,a1))
% 4.88/4.92 [275]P21(x2751,f4(x2751,x2752,f52(x2753,a1)),f52(x2753,a1))
% 4.88/4.92 [276]P21(f6(x2761,x2762,f52(x2763,a1)),x2761,f52(x2763,a1))
% 4.88/4.92 [277]P21(f5(x2771,x2772,f52(x2773,a1)),x2772,f52(x2773,a1))
% 4.88/4.92 [278]P21(f5(x2781,x2782,f52(x2783,a1)),x2781,f52(x2783,a1))
% 4.88/4.92 [279]P31(f38(f43(x2791,x2792,x2793),x2791))
% 4.88/4.92 [281]E(f5(x2811,f6(x2812,x2811,f52(x2813,a1)),f52(x2813,a1)),f33(f52(x2813,a1)))
% 4.88/4.92 [286]E(f4(x2861,f4(x2861,x2862,f52(x2863,a1)),f52(x2863,a1)),f4(x2861,x2862,f52(x2863,a1)))
% 4.88/4.92 [287]E(f4(x2871,f6(x2872,x2871,f52(x2873,a1)),f52(x2873,a1)),f4(x2871,x2872,f52(x2873,a1)))
% 4.88/4.92 [288]E(f5(x2881,f5(x2881,x2882,f52(x2883,a1)),f52(x2883,a1)),f5(x2881,x2882,f52(x2883,a1)))
% 4.88/4.92 [289]E(f4(f6(x2891,x2892,f52(x2893,a1)),x2892,f52(x2893,a1)),f4(x2891,x2892,f52(x2893,a1)))
% 4.88/4.92 [290]E(f6(f6(x2901,x2902,f52(x2903,a1)),x2902,f52(x2903,a1)),f6(x2901,x2902,f52(x2903,a1)))
% 4.88/4.92 [295]E(f4(f43(x2951,f33(f52(x2952,a1)),x2952),x2953,f52(x2952,a1)),f43(x2951,x2953,x2952))
% 4.88/4.92 [296]E(f42(f39(x2961,x2962),x2963,x2962,x2962),f5(x2961,x2963,f52(x2962,a1)))
% 4.88/4.92 [297]E(f4(f6(x2971,x2972,f52(x2973,a1)),f5(x2971,x2972,f52(x2973,a1)),f52(x2973,a1)),x2971)
% 4.88/4.92 [339]E(f46(x3391,f3(x3392),x3393,x3392,x3392),x3391)
% 4.88/4.92 [340]E(f46(f3(x3401),x3402,x3401,x3401,x3403),x3402)
% 4.88/4.92 [380]~E(f43(x3801,x3802,x3803),f33(f52(x3803,a1)))
% 4.88/4.92 [381]~E(f33(f52(x3811,a1)),f43(x3812,x3813,x3811))
% 4.88/4.92 [293]E(f44(x2931,f33(f52(x2932,a1)),x2932,x2933),f33(f52(x2933,a1)))
% 4.88/4.92 [294]E(f42(x2941,f33(f52(x2942,a1)),x2942,x2943),f33(f52(x2943,a1)))
% 4.88/4.92 [300]E(f32(f41(f41(x3001,x3002,x3003),x3003,x3002),x3002,x3003),f32(x3001,x3002,x3003))
% 4.88/4.92 [331]E(f43(x3311,f6(x3312,f43(x3311,f33(f52(x3313,a1)),x3313),f52(x3313,a1)),x3313),f43(x3311,x3312,x3313))
% 4.88/4.92 [328]E(f40(f4(f40(x3281,x3282),f40(x3283,x3282),f52(f53(x3282,x3282),a1)),x3282),f40(f4(x3281,x3283,f52(f53(x3282,x3282),a1)),x3282))
% 4.88/4.92 [336]P21(f4(f40(x3361,x3362),f40(x3363,x3362),f52(f53(x3362,x3362),a1)),f40(f4(x3361,x3363,f52(f53(x3362,x3362),a1)),x3362),f52(f53(x3362,x3362),a1))
% 4.88/4.92 [253]E(f38(f7(x2531,x2532,x2533),x2534),x2531)
% 4.88/4.92 [291]E(f43(x2911,f43(x2912,x2913,x2914),x2914),f43(x2912,f43(x2911,x2913,x2914),x2914))
% 4.88/4.92 [302]E(f4(x3021,f4(x3022,x3023,f52(x3024,a1)),f52(x3024,a1)),f4(x3022,f4(x3021,x3023,f52(x3024,a1)),f52(x3024,a1)))
% 4.88/4.92 [303]E(f5(x3031,f5(x3032,x3033,f52(x3034,a1)),f52(x3034,a1)),f5(x3032,f5(x3031,x3033,f52(x3034,a1)),f52(x3034,a1)))
% 4.88/4.92 [304]E(f4(f4(x3041,x3042,f52(x3043,a1)),x3044,f52(x3043,a1)),f4(x3041,f4(x3042,x3044,f52(x3043,a1)),f52(x3043,a1)))
% 4.88/4.92 [305]E(f6(f5(x3051,x3052,f52(x3053,a1)),x3054,f52(x3053,a1)),f5(x3051,f6(x3052,x3054,f52(x3053,a1)),f52(x3053,a1)))
% 4.88/4.92 [306]E(f5(f5(x3061,x3062,f52(x3063,a1)),x3064,f52(x3063,a1)),f5(x3061,f5(x3062,x3064,f52(x3063,a1)),f52(x3063,a1)))
% 4.88/4.92 [317]E(f5(f4(x3171,x3172,f52(x3173,a1)),f4(x3171,x3174,f52(x3173,a1)),f52(x3173,a1)),f4(x3171,f5(x3172,x3174,f52(x3173,a1)),f52(x3173,a1)))
% 4.88/4.92 [318]E(f5(f6(x3181,x3182,f52(x3183,a1)),f6(x3181,x3184,f52(x3183,a1)),f52(x3183,a1)),f6(x3181,f4(x3182,x3184,f52(x3183,a1)),f52(x3183,a1)))
% 4.88/4.92 [319]E(f4(f6(x3191,x3192,f52(x3193,a1)),f6(x3191,x3194,f52(x3193,a1)),f52(x3193,a1)),f6(x3191,f5(x3192,x3194,f52(x3193,a1)),f52(x3193,a1)))
% 4.88/4.92 [320]E(f4(f5(x3201,x3202,f52(x3203,a1)),f5(x3201,x3204,f52(x3203,a1)),f52(x3203,a1)),f5(x3201,f4(x3202,x3204,f52(x3203,a1)),f52(x3203,a1)))
% 4.88/4.92 [321]E(f6(f5(x3211,x3212,f52(x3213,a1)),f5(x3211,x3214,f52(x3213,a1)),f52(x3213,a1)),f5(x3211,f6(x3212,x3214,f52(x3213,a1)),f52(x3213,a1)))
% 4.88/4.92 [322]E(f5(f4(x3221,x3222,f52(x3223,a1)),f4(x3224,x3222,f52(x3223,a1)),f52(x3223,a1)),f4(f5(x3221,x3224,f52(x3223,a1)),x3222,f52(x3223,a1)))
% 4.88/4.92 [323]E(f4(f6(x3231,x3232,f52(x3233,a1)),f6(x3234,x3232,f52(x3233,a1)),f52(x3233,a1)),f6(f4(x3231,x3234,f52(x3233,a1)),x3232,f52(x3233,a1)))
% 4.88/4.92 [324]E(f4(f5(x3241,x3242,f52(x3243,a1)),f5(x3244,x3242,f52(x3243,a1)),f52(x3243,a1)),f5(f4(x3241,x3244,f52(x3243,a1)),x3242,f52(x3243,a1)))
% 4.88/4.92 [325]E(f6(f5(x3251,x3252,f52(x3253,a1)),f5(x3254,x3252,f52(x3253,a1)),f52(x3253,a1)),f5(f6(x3251,x3254,f52(x3253,a1)),x3252,f52(x3253,a1)))
% 4.88/4.92 [326]E(f6(f5(x3261,x3262,f52(x3263,a1)),f5(x3264,x3262,f52(x3263,a1)),f52(x3263,a1)),f6(f5(x3261,x3262,f52(x3263,a1)),x3264,f52(x3263,a1)))
% 4.88/4.92 [327]E(f6(f6(x3271,x3272,f52(x3273,a1)),f43(x3274,f33(f52(x3273,a1)),x3273),f52(x3273,a1)),f6(x3271,f43(x3274,x3272,x3273),f52(x3273,a1)))
% 4.88/4.92 [332]E(f6(f6(x3321,f43(x3322,f33(f52(x3323,a1)),x3323),f52(x3323,a1)),x3324,f52(x3323,a1)),f6(x3321,f43(x3322,x3324,x3323),f52(x3323,a1)))
% 4.88/4.92 [333]E(f41(f45(x3331,x3332,x3333,x3334),x3334,x3334),f45(f41(x3331,x3333,x3333),x3332,x3333,x3334))
% 4.88/4.92 [353]E(f5(f5(f4(x3531,x3532,f52(x3533,a1)),f4(x3532,x3534,f52(x3533,a1)),f52(x3533,a1)),f4(x3534,x3531,f52(x3533,a1)),f52(x3533,a1)),f4(f4(f5(x3531,x3532,f52(x3533,a1)),f5(x3532,x3534,f52(x3533,a1)),f52(x3533,a1)),f5(x3534,x3531,f52(x3533,a1)),f52(x3533,a1)))
% 4.88/4.92 [298]E(f43(x2981,f4(x2982,x2983,f52(x2984,a1)),x2984),f4(x2982,f43(x2981,x2983,x2984),f52(x2984,a1)))
% 4.88/4.92 [299]E(f43(x2991,f4(x2992,x2993,f52(x2994,a1)),x2994),f4(f43(x2991,x2992,x2994),x2993,f52(x2994,a1)))
% 4.88/4.92 [309]E(f5(f43(x3091,x3092,x3093),f43(x3091,x3094,x3093),f52(x3093,a1)),f43(x3091,f5(x3092,x3094,f52(x3093,a1)),x3093))
% 4.88/4.92 [316]E(f4(f32(x3161,x3162,x3163),f32(x3164,x3162,x3163),f52(x3162,a1)),f32(f4(x3161,x3164,f52(f53(x3162,x3163),a1)),x3162,x3163))
% 4.88/4.92 [329]E(f4(f41(x3291,x3292,x3293),f41(x3294,x3292,x3293),f52(f53(x3293,x3292),a1)),f41(f4(x3291,x3294,f52(f53(x3292,x3293),a1)),x3292,x3293))
% 4.88/4.92 [330]E(f5(f41(x3301,x3302,x3303),f41(x3304,x3302,x3303),f52(f53(x3303,x3302),a1)),f41(f5(x3301,x3304,f52(f53(x3302,x3303),a1)),x3302,x3303))
% 4.88/4.92 [342]P21(f32(f5(x3421,x3422,f52(f53(x3423,x3424),a1)),x3423,x3424),f5(f32(x3421,x3423,x3424),f32(x3422,x3423,x3424),f52(x3423,a1)),f52(x3423,a1))
% 4.88/4.92 [343]P21(f6(f32(x3431,x3432,x3433),f32(x3434,x3432,x3433),f52(x3432,a1)),f32(f6(x3431,x3434,f52(f53(x3432,x3433),a1)),x3432,x3433),f52(x3432,a1))
% 4.88/4.92 [346]E(f4(f32(f41(x3461,x3462,x3463),x3463,x3462),f32(f41(x3464,x3462,x3463),x3463,x3462),f52(x3463,a1)),f32(f41(f4(x3461,x3464,f52(f53(x3462,x3463),a1)),x3462,x3463),x3463,x3462))
% 4.88/4.92 [367]P21(f32(f41(f5(x3671,x3672,f52(f53(x3673,x3674),a1)),x3673,x3674),x3674,x3673),f5(f32(f41(x3671,x3673,x3674),x3674,x3673),f32(f41(x3672,x3673,x3674),x3674,x3673),f52(x3674,a1)),f52(x3674,a1))
% 4.88/4.92 [368]P21(f6(f32(f41(x3681,x3682,x3683),x3683,x3682),f32(f41(x3684,x3682,x3683),x3683,x3682),f52(x3683,a1)),f32(f41(f6(x3681,x3684,f52(f53(x3682,x3683),a1)),x3682,x3683),x3683,x3682),f52(x3683,a1))
% 4.88/4.92 [334]E(f44(x3341,f43(x3342,x3343,x3344),x3344,x3345),f43(f38(x3341,x3342),f44(x3341,x3343,x3344,x3345),x3345))
% 4.88/4.92 [372]E(f46(f41(x3721,x3722,x3723),f41(x3724,x3725,x3722),x3723,x3722,x3725),f41(f46(x3724,x3721,x3725,x3722,x3723),x3725,x3723))
% 4.88/4.92 [345]E(f32(f43(f35(x3451,x3452,x3453,x3454),x3455,f53(x3453,x3454)),x3453,x3454),f43(x3451,f32(x3455,x3453,x3454),x3453))
% 4.88/4.92 [347]E(f4(f44(x3471,x3472,x3473,x3474),f44(x3471,x3475,x3473,x3474),f52(x3474,a1)),f44(x3471,f4(x3472,x3475,f52(x3473,a1)),x3473,x3474))
% 4.88/4.92 [348]E(f4(f42(x3481,x3482,x3483,x3484),f42(x3481,x3485,x3483,x3484),f52(x3484,a1)),f42(x3481,f4(x3482,x3485,f52(x3483,a1)),x3483,x3484))
% 4.88/4.92 [349]E(f4(f36(x3491,x3492,x3493,x3494),f36(x3495,x3492,x3493,x3494),f52(f53(x3493,x3494),a1)),f36(f4(x3491,x3495,f52(x3493,a1)),x3492,x3493,x3494))
% 4.88/4.92 [350]E(f6(f36(x3501,x3502,x3503,x3504),f36(x3505,x3502,x3503,x3504),f52(f53(x3503,x3504),a1)),f36(f6(x3501,x3505,f52(x3503,a1)),x3502,x3503,x3504))
% 4.88/4.92 [351]E(f5(f36(x3511,x3512,x3513,x3514),f36(x3515,x3512,x3513,x3514),f52(f53(x3513,x3514),a1)),f36(f5(x3511,x3515,f52(x3513,a1)),x3512,x3513,x3514))
% 4.88/4.92 [369]P21(f44(x3691,f5(x3692,x3693,f52(x3694,a1)),x3694,x3695),f5(f44(x3691,x3692,x3694,x3695),f44(x3691,x3693,x3694,x3695),f52(x3695,a1)),f52(x3695,a1))
% 4.88/4.92 [370]P21(f42(x3701,f5(x3702,x3703,f52(x3704,a1)),x3704,x3705),f5(f42(x3701,x3702,x3704,x3705),f42(x3701,x3703,x3704,x3705),f52(x3705,a1)),f52(x3705,a1))
% 4.88/4.92 [371]P21(f6(f44(x3711,x3712,x3713,x3714),f44(x3711,x3715,x3713,x3714),f52(x3714,a1)),f44(x3711,f6(x3712,x3715,f52(x3713,a1)),x3713,x3714),f52(x3714,a1))
% 4.88/4.92 [352]E(f4(f42(x3521,x3522,x3523,x3524),f42(x3525,x3522,x3523,x3524),f52(x3524,a1)),f42(f4(x3521,x3525,f52(f53(x3523,x3524),a1)),x3522,x3523,x3524))
% 4.88/4.92 [366]E(f32(f41(f43(f35(x3661,x3662,x3663,x3664),x3665,f53(x3663,x3664)),x3663,x3664),x3664,x3663),f43(x3662,f32(f41(x3665,x3663,x3664),x3664,x3663),x3664))
% 4.88/4.92 [338]E(f38(f47(x3381,x3382,x3383,x3384),f35(x3385,x3386,x3382,x3383)),f38(f38(x3381,x3385),x3386))
% 4.88/4.92 [375]E(f43(f35(x3751,x3752,x3753,x3754),f4(f36(x3755,f7(f43(x3752,x3756,x3754),f52(x3754,a1),x3753),x3753,x3754),f36(f43(x3751,x3755,x3753),f7(x3756,f52(x3754,a1),x3753),x3753,x3754),f52(f53(x3753,x3754),a1)),f53(x3753,x3754)),f36(f43(x3751,x3755,x3753),f7(f43(x3752,x3756,x3754),f52(x3754,a1),x3753),x3753,x3754))
% 4.88/4.92 [376]E(f4(f46(x3761,x3762,x3763,x3764,x3765),f46(x3761,x3766,x3763,x3764,x3765),f52(f53(x3763,x3765),a1)),f46(x3761,f4(x3762,x3766,f52(f53(x3764,x3765),a1)),x3763,x3764,x3765))
% 4.88/4.92 [377]E(f4(f46(x3771,x3772,x3773,x3774,x3775),f46(x3776,x3772,x3773,x3774,x3775),f52(f53(x3773,x3775),a1)),f46(f4(x3771,x3776,f52(f53(x3773,x3774),a1)),x3772,x3773,x3774,x3775))
% 4.88/4.92 [378]E(f46(f46(x3781,x3782,x3783,x3784,x3785),x3786,x3783,x3785,x3787),f46(x3781,f46(x3782,x3786,x3784,x3785,x3787),x3783,x3784,x3787))
% 4.88/4.92 [393]~P20(x3931,x3932)+P19(x3931,x3932)
% 4.88/4.92 [403]~P28(x4032)+P21(x4031,x4031,x4032)
% 4.88/4.92 [404]~P29(x4042)+P21(x4041,x4041,x4042)
% 4.88/4.92 [394]~P1(x3942)+P1(f52(x3941,x3942))
% 4.88/4.92 [395]~P1(x3952)+P23(f52(x3951,x3952))
% 4.88/4.92 [396]~P2(x3962)+P2(f52(x3961,x3962))
% 4.88/4.92 [397]~P25(x3972)+P25(f52(x3971,x3972))
% 4.88/4.92 [398]~P3(x3982)+P3(f52(x3981,x3982))
% 4.88/4.92 [399]~P1(x3992)+P24(f52(x3991,x3992))
% 4.88/4.92 [400]~P28(x4002)+P28(f52(x4001,x4002))
% 4.88/4.92 [401]~P29(x4012)+P29(f52(x4011,x4012))
% 4.88/4.92 [402]~P4(x4022)+P4(f52(x4021,x4022))
% 4.88/4.92 [405]~P23(x4052)+E(f4(x4051,x4051,x4052),x4051)
% 4.88/4.92 [406]~P24(x4062)+E(f5(x4061,x4061,x4062),x4061)
% 4.88/4.92 [407]~P6(x4071,x4072)+P6(f40(x4071,x4072),x4072)
% 4.88/4.92 [408]~P19(x4081,x4082)+P7(f40(x4081,x4082),x4082)
% 4.88/4.92 [409]~P25(x4091)+P21(f33(x4091),x4092,x4091)
% 4.88/4.92 [414]~P6(x4141,x4142)+E(f41(x4141,x4142,x4142),x4141)
% 4.88/4.92 [420]P6(x4201,x4202)+~E(f41(x4201,x4202,x4202),x4201)
% 4.88/4.92 [434]~P6(x4341,x4342)+P6(f41(x4341,x4342,x4342),x4342)
% 4.88/4.92 [435]~P19(x4351,x4352)+P19(f41(x4351,x4352,x4352),x4352)
% 4.88/4.92 [436]~P5(x4361,x4362)+P5(f41(x4361,x4362,x4362),x4362)
% 4.88/4.92 [437]~P7(x4371,x4372)+P7(f41(x4371,x4372,x4372),x4372)
% 4.88/4.92 [471]P6(x4711,x4712)+~P6(f41(x4711,x4712,x4712),x4712)
% 4.88/4.92 [472]P19(x4721,x4722)+~P19(f41(x4721,x4722,x4722),x4722)
% 4.88/4.92 [473]P5(x4731,x4732)+~P5(f41(x4731,x4732,x4732),x4732)
% 4.88/4.92 [474]P7(x4741,x4742)+~P7(f41(x4741,x4742,x4742),x4742)
% 4.88/4.92 [757]~P20(x7571,x7572)+P20(f46(x7571,x7571,x7572,x7572,x7572),x7572)
% 4.88/4.92 [782]P20(x7821,x7822)+~P20(f46(x7821,x7821,x7822,x7822,x7822),x7822)
% 4.88/4.92 [410]~P3(x4102)+E(f4(x4101,f33(x4102),x4102),x4101)
% 4.88/4.92 [411]~P3(x4111)+E(f4(f33(x4111),x4112,x4111),x4112)
% 4.88/4.92 [412]~P3(x4122)+E(f5(x4121,f33(x4122),x4122),f33(x4122))
% 4.88/4.92 [413]~P3(x4131)+E(f5(f33(x4131),x4132,x4131),f33(x4131))
% 4.88/4.92 [480]~P21(x4801,f33(f52(x4802,a1)),f52(x4802,a1))+E(x4801,f33(f52(x4802,a1)))
% 4.88/4.92 [635]P5(x6351,x6352)+P22(f35(f15(x6351,x6352),f24(x6351,x6352),x6352,x6352),x6351,f53(x6352,x6352))
% 4.88/4.92 [636]P5(x6361,x6362)+P22(f35(f24(x6361,x6362),f25(x6361,x6362),x6362,x6362),x6361,f53(x6362,x6362))
% 4.88/4.92 [637]P5(x6371,x6372)+P22(f35(f26(x6371,x6372),f27(x6371,x6372),x6372,x6372),x6371,f53(x6372,x6372))
% 4.88/4.92 [638]P5(x6381,x6382)+P22(f35(f27(x6381,x6382),f28(x6381,x6382),x6382,x6382),x6381,f53(x6382,x6382))
% 4.88/4.92 [639]P16(x6391,x6392)+P22(f35(f16(x6391,x6392),f16(x6391,x6392),x6392,x6392),x6391,f53(x6392,x6392))
% 4.88/4.92 [674]P5(x6741,x6742)+~P22(f35(f15(x6741,x6742),f25(x6741,x6742),x6742,x6742),x6741,f53(x6742,x6742))
% 4.88/4.92 [675]P5(x6751,x6752)+~P22(f35(f26(x6751,x6752),f28(x6751,x6752),x6752,x6752),x6751,f53(x6752,x6752))
% 4.88/4.92 [676]P12(x6761,x6762)+~P22(f35(f34(x6761,x6762),f34(x6761,x6762),x6762,x6762),x6761,f53(x6762,x6762))
% 4.88/4.92 [692]~P5(x6921,x6922)+E(f46(x6921,f40(x6921,x6922),x6922,x6922,x6922),x6921)
% 4.88/4.92 [750]P8(f32(x7501,x7502,x7502),x7501,x7502)+~E(f46(f41(x7501,x7502,x7502),x7501,x7502,x7502,x7502),x7501)
% 4.88/4.92 [763]~P6(x7631,x7632)+P6(f46(x7631,f40(x7631,x7632),x7632,x7632,x7632),x7632)
% 4.88/4.92 [764]~P20(x7641,x7642)+P20(f46(x7641,f40(x7641,x7642),x7642,x7642,x7642),x7642)
% 4.88/4.92 [765]~P5(x7651,x7652)+P21(f46(x7651,x7651,x7652,x7652,x7652),x7651,f52(f53(x7652,x7652),a1))
% 4.88/4.92 [513]~P5(x5131,x5132)+P5(f4(x5131,f3(x5132),f52(f53(x5132,x5132),a1)),x5132)
% 4.88/4.92 [514]~P7(x5141,x5142)+P7(f4(x5141,f3(x5142),f52(f53(x5142,x5142),a1)),x5142)
% 4.88/4.92 [595]P7(x5951,x5952)+~P7(f4(x5951,f3(x5952),f52(f53(x5952,x5952),a1)),x5952)
% 4.88/4.92 [794]~P20(f41(x7941,x7942,x7942),x7942)+P20(f41(f46(x7941,f40(x7941,x7942),x7942,x7942,x7942),x7942,x7942),x7942)
% 4.88/4.92 [415]E(x4151,x4152)+~P18(x4151,x4152,x4153)
% 4.88/4.92 [416]P6(x4161,x4162)+~P8(x4163,x4161,x4162)
% 4.88/4.92 [417]P5(x4171,x4172)+~P11(x4173,x4171,x4172)
% 4.88/4.92 [418]P5(x4181,x4182)+~P8(x4183,x4181,x4182)
% 4.88/4.92 [419]P16(x4191,x4192)+~P11(x4193,x4191,x4192)
% 4.88/4.92 [431]~P8(x4311,x4312,x4313)+P15(x4311,x4312,x4313)
% 4.88/4.92 [432]~P11(x4321,x4322,x4323)+P17(x4321,x4322,x4323)
% 4.88/4.92 [421]P22(x4211,x4212,x4213)+~P31(f38(x4212,x4211))
% 4.88/4.92 [422]~P20(x4222,x4223)+P22(x4221,f48(x4222,x4223),x4223)
% 4.88/4.92 [425]~P1(x4253)+E(f4(x4251,x4252,x4253),f4(x4252,x4251,x4253))
% 4.88/4.92 [426]~P23(x4263)+E(f4(x4261,x4262,x4263),f4(x4262,x4261,x4263))
% 4.88/4.92 [427]~P1(x4273)+E(f5(x4271,x4272,x4273),f5(x4272,x4271,x4273))
% 4.88/4.92 [428]~P24(x4283)+E(f5(x4281,x4282,x4283),f5(x4282,x4281,x4283))
% 4.88/4.92 [429]~P22(x4292,x4291,x4293)+P31(f38(x4291,x4292))
% 4.88/4.92 [433]~P22(x4331,x4332,x4333)+E(f43(x4331,x4332,x4333),x4332)
% 4.88/4.92 [444]~P1(x4443)+P21(x4441,f4(x4442,x4441,x4443),x4443)
% 4.88/4.92 [445]~P23(x4453)+P21(x4451,f4(x4452,x4451,x4453),x4453)
% 4.88/4.92 [446]~P1(x4463)+P21(x4461,f4(x4461,x4462,x4463),x4463)
% 4.88/4.92 [447]~P23(x4473)+P21(x4471,f4(x4471,x4472,x4473),x4473)
% 4.88/4.92 [448]~P1(x4483)+P21(f5(x4481,x4482,x4483),x4482,x4483)
% 4.88/4.92 [449]~P24(x4493)+P21(f5(x4491,x4492,x4493),x4492,x4493)
% 4.88/4.92 [450]~P1(x4503)+P21(f5(x4501,x4502,x4503),x4501,x4503)
% 4.88/4.92 [451]~P24(x4513)+P21(f5(x4511,x4512,x4513),x4511,x4513)
% 4.88/4.92 [481]~P22(x4811,x4812,f53(x4813,x4813))+P22(x4811,f40(x4812,x4813),f53(x4813,x4813))
% 4.88/4.92 [493]~P15(x4931,x4932,x4933)+P15(x4931,f41(x4932,x4933,x4933),x4933)
% 4.88/4.93 [494]~P17(x4941,x4942,x4943)+P17(x4941,f41(x4942,x4943,x4943),x4943)
% 4.88/4.93 [516]P15(x5161,x5162,x5163)+~P15(x5161,f41(x5162,x5163,x5163),x5163)
% 4.88/4.93 [517]P17(x5171,x5172,x5173)+~P17(x5171,f41(x5172,x5173,x5173),x5173)
% 4.88/4.93 [564]~P22(f31(x5642,x5641,x5643),f48(x5642,x5643),x5643)+P22(x5641,f48(x5642,x5643),x5643)
% 4.88/4.93 [565]~P22(f14(x5652,x5651,x5653),f48(x5652,x5653),x5653)+P22(x5651,f48(x5652,x5653),x5653)
% 4.88/4.93 [620]E(x6201,x6202)+P22(f35(x6201,x6202,a2,a2),f8(x6203,x6202),f53(a2,a2))
% 4.88/4.93 [621]E(x6211,x6212)+P22(f35(x6211,x6212,a2,a2),f9(x6213,x6211),f53(a2,a2))
% 4.88/4.93 [624]~P12(x6243,x6242)+P22(f35(x6241,x6241,x6242,x6242),x6243,f53(x6242,x6242))
% 4.88/4.93 [634]~P22(x6341,x6343,x6342)+P22(f35(x6341,x6341,x6342,x6342),f39(x6343,x6342),f53(x6342,x6342))
% 4.88/4.93 [656]E(x6561,x6562)+~P22(f35(x6561,x6562,x6563,x6563),f3(x6563),f53(x6563,x6563))
% 4.88/4.93 [659]~P20(x6591,x6592)+~P22(f35(x6593,x6593,x6592,x6592),x6591,f53(x6592,x6592))
% 4.88/4.93 [660]~P16(x6601,x6602)+~P22(f35(x6603,x6603,x6602,x6602),x6601,f53(x6602,x6602))
% 4.88/4.93 [452]~P1(x4523)+E(f4(x4521,f5(x4521,x4522,x4523),x4523),x4521)
% 4.88/4.93 [453]~P1(x4533)+E(f5(x4531,f4(x4531,x4532,x4533),x4533),x4531)
% 4.88/4.93 [461]E(x4611,f33(f52(x4612,a1)))+~E(f4(x4613,x4611,f52(x4612,a1)),f33(f52(x4612,a1)))
% 4.88/4.93 [462]E(x4621,f33(f52(x4622,a1)))+~E(f4(x4621,x4623,f52(x4622,a1)),f33(f52(x4622,a1)))
% 4.88/4.93 [466]~P21(x4661,x4662,f52(x4663,a1))+E(f4(x4661,x4662,f52(x4663,a1)),x4662)
% 4.88/4.93 [467]~P21(x4672,x4671,f52(x4673,a1))+E(f4(x4671,x4672,f52(x4673,a1)),x4671)
% 4.88/4.93 [468]~P21(x4682,x4681,f52(x4683,a1))+E(f5(x4681,x4682,f52(x4683,a1)),x4682)
% 4.88/4.93 [469]~P21(x4691,x4692,f52(x4693,a1))+E(f5(x4691,x4692,f52(x4693,a1)),x4691)
% 4.88/4.93 [470]P21(x4701,x4702,f52(x4703,a1))+~E(f4(x4701,x4702,f52(x4703,a1)),x4702)
% 4.88/4.93 [476]~P1(x4763)+E(f4(x4761,f4(x4761,x4762,x4763),x4763),f4(x4761,x4762,x4763))
% 4.88/4.93 [477]~P23(x4773)+E(f4(x4771,f4(x4771,x4772,x4773),x4773),f4(x4771,x4772,x4773))
% 4.88/4.93 [478]~P1(x4783)+E(f5(x4781,f5(x4781,x4782,x4783),x4783),f5(x4781,x4782,x4783))
% 4.88/4.93 [479]~P24(x4793)+E(f5(x4791,f5(x4791,x4792,x4793),x4793),f5(x4791,x4792,x4793))
% 4.88/4.93 [488]E(f6(x4881,x4882,f52(x4883,a1)),x4881)+~E(f5(x4881,x4882,f52(x4883,a1)),f33(f52(x4883,a1)))
% 4.88/4.93 [544]P21(f48(x5441,x5442),f48(x5443,x5442),f52(x5442,a1))+~P21(x5443,x5441,f52(f53(x5442,x5442),a1))
% 4.88/4.93 [560]~P21(x5601,x5602,f52(x5603,a1))+E(f4(x5601,f6(x5602,x5601,f52(x5603,a1)),f52(x5603,a1)),x5602)
% 4.88/4.93 [573]~P21(x5731,x5733,f52(f53(x5732,x5732),a1))+P21(f40(x5731,x5732),f40(x5733,x5732),f52(f53(x5732,x5732),a1))
% 4.88/4.93 [582]~P21(x5821,f40(x5823,x5822),f52(f53(x5822,x5822),a1))+P21(f40(x5821,x5822),f40(x5823,x5822),f52(f53(x5822,x5822),a1))
% 4.88/4.93 [594]P22(x5941,x5942,x5943)+E(f6(f43(x5941,x5942,x5943),f43(x5941,f33(f52(x5943,a1)),x5943),f52(x5943,a1)),x5942)
% 4.88/4.93 [653]P22(x6531,f48(x6532,x6533),x6533)+P22(f35(f31(x6532,x6531,x6533),x6531,x6533,x6533),x6532,f53(x6533,x6533))
% 4.88/4.93 [654]P22(x6541,f48(x6542,x6543),x6543)+P22(f35(f14(x6542,x6541,x6543),x6541,x6543,x6543),x6542,f53(x6543,x6543))
% 4.88/4.93 [703]~P8(x7033,x7031,x7032)+E(f46(f41(x7031,x7032,x7032),x7031,x7032,x7032,x7032),x7031)
% 4.88/4.93 [768]~P22(x7681,x7682,f53(x7683,x7683))+P22(x7681,f46(x7682,f40(x7682,x7683),x7683,x7683,x7683),f53(x7683,x7683))
% 4.88/4.93 [772]~P15(x7723,x7721,x7722)+P21(x7721,f46(f41(x7721,x7722,x7722),x7721,x7722,x7722,x7722),f52(f53(x7722,x7722),a1))
% 4.88/4.93 [789]~P19(x7891,x7892)+~P22(f35(x7893,x7893,x7892,x7892),f46(x7891,f40(x7891,x7892),x7892,x7892,x7892),f53(x7892,x7892))
% 4.88/4.93 [509]~P20(x5092,x5093)+P20(f5(x5091,x5092,f52(f53(x5093,x5093),a1)),x5093)
% 4.88/4.93 [510]~P20(x5101,x5103)+P20(f5(x5101,x5102,f52(f53(x5103,x5103),a1)),x5103)
% 4.88/4.93 [545]E(x5451,x5452)+~E(f43(x5451,f33(f52(x5453,a1)),x5453),f43(x5452,f33(f52(x5453,a1)),x5453))
% 4.88/4.93 [575]~P17(x5751,x5752,x5753)+P17(x5751,f6(x5752,f3(x5753),f52(f53(x5753,x5753),a1)),x5753)
% 4.88/4.93 [579]E(x5791,x5792)+~P22(x5791,f43(x5792,f33(f52(x5793,a1)),x5793),x5793)
% 4.88/4.93 [616]P17(x6161,x6162,x6163)+~P17(x6161,f6(x6162,f3(x6163),f52(f53(x6163,x6163),a1)),x6163)
% 4.88/4.93 [640]~P22(x6401,x6402,x6403)+E(f43(x6401,f6(x6402,f43(x6401,f33(f52(x6403,a1)),x6403),f52(x6403,a1)),x6403),x6402)
% 4.88/4.93 [664]~P15(x6642,x6641,x6643)+P21(x6641,f36(x6642,f7(x6642,f52(x6643,a1),x6643),x6643,x6643),f52(f53(x6643,x6643),a1))
% 4.88/4.93 [665]~P8(x6652,x6651,x6653)+P21(x6651,f36(x6652,f7(x6652,f52(x6653,a1),x6653),x6653,x6653),f52(f53(x6653,x6653),a1))
% 4.88/4.93 [791]~P21(x7911,f36(x7913,f7(x7913,f52(x7912,a1),x7912),x7912,x7912),f52(f53(x7912,x7912),a1))+P21(f46(x7911,f40(x7911,x7912),x7912,x7912,x7912),f36(x7913,f7(x7913,f52(x7912,a1),x7912),x7912,x7912),f52(f53(x7912,x7912),a1))
% 4.88/4.93 [819]~P20(f4(x8191,x8193,f52(f53(x8192,x8192),a1)),x8192)+P20(f4(f4(f46(x8191,x8191,x8192,x8192,x8192),f46(x8193,x8191,x8192,x8192,x8192),f52(f53(x8192,x8192),a1)),x8193,f52(f53(x8192,x8192),a1)),x8192)
% 4.88/4.93 [821]~P20(f4(f4(f46(x8211,x8211,x8213,x8213,x8213),f46(x8212,x8211,x8213,x8213,x8213),f52(f53(x8213,x8213),a1)),x8212,f52(f53(x8213,x8213),a1)),x8213)+P20(f4(x8211,x8212,f52(f53(x8213,x8213),a1)),x8213)
% 4.88/4.93 [492]~P22(x4921,x4923,x4924)+P22(x4921,f43(x4922,x4923,x4924),x4924)
% 4.88/4.93 [515]~P21(x5151,x5153,f52(x5154,a1))+P21(x5151,f43(x5152,x5153,x5154),f52(x5154,a1))
% 4.88/4.93 [553]P22(x5531,x5532,x5533)+~P21(f43(x5531,x5534,x5533),x5532,f52(x5533,a1))
% 4.88/4.93 [563]~P21(f43(x5634,x5631,x5633),x5632,f52(x5633,a1))+P21(x5631,x5632,f52(x5633,a1))
% 4.88/4.93 [577]~P21(x5772,x5774,f52(x5773,a1))+P21(f43(x5771,x5772,x5773),f43(x5771,x5774,x5773),f52(x5773,a1))
% 4.88/4.93 [608]~P6(x6081,x6083)+P6(f45(x6081,x6082,x6083,x6084),x6084)
% 4.88/4.93 [609]~P20(x6091,x6093)+P20(f45(x6091,x6092,x6093,x6094),x6094)
% 4.88/4.93 [610]~P5(x6101,x6103)+P5(f45(x6101,x6102,x6103,x6104),x6104)
% 4.88/4.93 [661]E(x6611,x6612)+~P22(f35(x6611,x6612,x6613,x6613),f39(x6614,x6613),f53(x6613,x6613))
% 4.88/4.93 [663]P22(x6631,x6632,x6633)+~P22(f35(x6631,x6634,x6633,x6633),f39(x6632,x6633),f53(x6633,x6633))
% 4.88/4.93 [508]~P31(f38(x5082,x5084))+P31(f38(f43(x5081,x5082,x5083),x5084))
% 4.88/4.93 [511]~P22(x5111,x5113,x5114)+P22(x5111,f4(x5112,x5113,f52(x5114,a1)),x5114)
% 4.88/4.93 [512]~P22(x5121,x5122,x5124)+P22(x5121,f4(x5122,x5123,f52(x5124,a1)),x5124)
% 4.88/4.93 [530]P22(x5302,x5301,x5304)+E(f5(x5301,f43(x5302,x5303,x5304),f52(x5304,a1)),f5(x5301,x5303,f52(x5304,a1)))
% 4.88/4.93 [531]P22(x5311,x5314,x5313)+E(f5(f43(x5311,x5312,x5313),x5314,f52(x5313,a1)),f5(x5312,x5314,f52(x5313,a1)))
% 4.88/4.93 [536]~P1(x5364)+E(f4(x5361,f4(x5362,x5363,x5364),x5364),f4(x5362,f4(x5361,x5363,x5364),x5364))
% 4.88/4.93 [537]~P23(x5374)+E(f4(x5371,f4(x5372,x5373,x5374),x5374),f4(x5372,f4(x5371,x5373,x5374),x5374))
% 4.88/4.93 [538]~P1(x5384)+E(f5(x5381,f5(x5382,x5383,x5384),x5384),f5(x5382,f5(x5381,x5383,x5384),x5384))
% 4.88/4.93 [539]~P24(x5394)+E(f5(x5391,f5(x5392,x5393,x5394),x5394),f5(x5392,f5(x5391,x5393,x5394),x5394))
% 4.88/4.93 [540]~P1(x5403)+E(f4(f4(x5401,x5402,x5403),x5404,x5403),f4(x5401,f4(x5402,x5404,x5403),x5403))
% 4.88/4.93 [541]~P23(x5413)+E(f4(f4(x5411,x5412,x5413),x5414,x5413),f4(x5411,f4(x5412,x5414,x5413),x5413))
% 4.88/4.93 [542]~P1(x5423)+E(f5(f5(x5421,x5422,x5423),x5424,x5423),f5(x5421,f5(x5422,x5424,x5423),x5423))
% 4.88/4.93 [543]~P24(x5433)+E(f5(f5(x5431,x5432,x5433),x5434,x5433),f5(x5431,f5(x5432,x5434,x5433),x5433))
% 4.88/4.93 [557]~P22(x5571,x5574,x5573)+E(f6(f43(x5571,x5572,x5573),x5574,f52(x5573,a1)),f6(x5572,x5574,f52(x5573,a1)))
% 4.88/4.93 [568]P22(x5681,x5682,x5683)+~P22(x5681,f6(x5682,x5684,f52(x5683,a1)),x5683)
% 4.88/4.93 [569]P22(x5691,x5692,x5693)+~P22(x5691,f5(x5694,x5692,f52(x5693,a1)),x5693)
% 4.88/4.93 [570]P22(x5701,x5702,x5703)+~P22(x5701,f5(x5702,x5704,f52(x5703,a1)),x5703)
% 4.88/4.93 [576]~P22(x5761,x5762,x5763)+~P22(x5761,f6(x5764,x5762,f52(x5763,a1)),x5763)
% 4.88/4.93 [585]~P2(x5853)+E(f5(f4(x5851,x5852,x5853),f4(x5851,x5854,x5853),x5853),f4(x5851,f5(x5852,x5854,x5853),x5853))
% 4.88/4.93 [586]~P2(x5863)+E(f4(f5(x5861,x5862,x5863),f5(x5861,x5864,x5863),x5863),f5(x5861,f4(x5862,x5864,x5863),x5863))
% 4.88/4.93 [587]~P2(x5873)+E(f5(f4(x5871,x5872,x5873),f4(x5874,x5872,x5873),x5873),f4(f5(x5871,x5874,x5873),x5872,x5873))
% 4.88/4.93 [588]~P2(x5883)+E(f4(f5(x5881,x5882,x5883),f5(x5884,x5882,x5883),x5883),f5(f4(x5881,x5884,x5883),x5882,x5883))
% 4.88/4.93 [589]P21(x5891,x5892,f52(x5893,a1))+~P21(x5891,f5(x5894,x5892,f52(x5893,a1)),f52(x5893,a1))
% 4.88/4.93 [590]P21(x5901,x5902,f52(x5903,a1))+~P21(x5901,f5(x5902,x5904,f52(x5903,a1)),f52(x5903,a1))
% 4.88/4.93 [591]P21(x5911,x5912,f52(x5913,a1))+~P21(f4(x5914,x5911,f52(x5913,a1)),x5912,f52(x5913,a1))
% 4.88/4.93 [592]P21(x5921,x5922,f52(x5923,a1))+~P21(f4(x5921,x5924,f52(x5923,a1)),x5922,f52(x5923,a1))
% 4.88/4.93 [597]~E(f44(x5973,x5971,x5972,x5974),f33(f52(x5974,a1)))+E(x5971,f33(f52(x5972,a1)))
% 4.88/4.93 [607]P21(f32(x6071,x6072,x6073),f32(x6074,x6072,x6073),f52(x6072,a1))+~P21(x6071,x6074,f52(f53(x6072,x6073),a1))
% 4.88/4.93 [617]~P21(x6173,x6171,f52(x6174,a1))+E(f5(x6171,f4(x6172,x6173,f52(x6174,a1)),f52(x6174,a1)),f4(f5(x6171,x6172,f52(x6174,a1)),x6173,f52(x6174,a1)))
% 4.88/4.93 [622]~P21(f6(x6221,x6222,f52(x6224,a1)),x6223,f52(x6224,a1))+P21(x6221,f4(x6222,x6223,f52(x6224,a1)),f52(x6224,a1))
% 4.88/4.93 [623]~P21(x6231,f4(x6232,x6234,f52(x6233,a1)),f52(x6233,a1))+P21(f6(x6231,x6232,f52(x6233,a1)),x6234,f52(x6233,a1))
% 4.88/4.93 [648]P21(x6481,x6482,f52(x6483,a1))+~E(f5(x6482,f4(x6484,x6481,f52(x6483,a1)),f52(x6483,a1)),f4(f5(x6482,x6484,f52(x6483,a1)),x6481,f52(x6483,a1)))
% 4.88/4.93 [657]~P1(x6574)+P21(f4(x6571,f5(x6572,x6573,x6574),x6574),f5(f4(x6571,x6572,x6574),f4(x6571,x6573,x6574),x6574),x6574)
% 4.88/4.93 [658]~P1(x6583)+P21(f4(f5(x6581,x6582,x6583),f5(x6581,x6584,x6583),x6583),f5(x6581,f4(x6582,x6584,x6583),x6583),x6583)
% 4.88/4.93 [725]~P22(f35(x7252,x7251,x7253,x7253),f40(x7254,x7253),f53(x7253,x7253))+P22(f35(x7251,x7252,x7253,x7253),f40(f41(x7254,x7253,x7253),x7253),f53(x7253,x7253))
% 4.88/4.93 [729]~P22(x7291,f32(x7292,x7293,x7294),x7293)+P22(f35(x7291,f17(x7291,x7292,x7293,x7294),x7293,x7294),x7292,f53(x7293,x7294))
% 4.88/4.93 [730]~P22(x7301,f32(x7302,x7303,x7304),x7303)+P22(f35(x7301,f19(x7301,x7302,x7303,x7304),x7303,x7304),x7302,f53(x7303,x7304))
% 4.88/4.93 [734]P20(x7341,x7342)+~P20(f43(f35(x7343,x7344,x7342,x7342),x7341,f53(x7342,x7342)),x7342)
% 4.88/4.93 [735]P19(x7351,x7352)+~P19(f43(f35(x7353,x7354,x7352,x7352),x7351,f53(x7352,x7352)),x7352)
% 4.88/4.93 [737]P22(f35(x7371,x7372,x7373,x7373),f40(x7374,x7373),f53(x7373,x7373))+~P22(f35(x7372,x7371,x7373,x7373),f40(f41(x7374,x7373,x7373),x7373),f53(x7373,x7373))
% 4.88/4.93 [747]~P22(x7471,f32(f41(x7472,x7474,x7473),x7473,x7474),x7473)+P22(f35(f20(x7471,x7472,x7473,x7474),x7471,x7474,x7473),x7472,f53(x7474,x7473))
% 4.88/4.93 [748]~P22(x7481,f32(f41(x7482,x7484,x7483),x7483,x7484),x7483)+P22(f35(f23(x7481,x7482,x7483,x7484),x7481,x7484,x7483),x7482,f53(x7484,x7483))
% 4.88/4.93 [769]~P22(f35(x7692,x7691,x7693,x7693),f40(x7694,x7693),f53(x7693,x7693))+~P20(f43(f35(x7691,x7692,x7693,x7693),x7694,f53(x7693,x7693)),x7693)
% 4.88/4.93 [770]~P22(f35(x7702,x7701,x7703,x7703),f40(x7704,x7703),f53(x7703,x7703))+~P19(f43(f35(x7701,x7702,x7703,x7703),x7704,f53(x7703,x7703)),x7703)
% 4.88/4.93 [797]P22(f35(x7971,x7972,x7973,x7973),f40(x7974,x7973),f53(x7973,x7973))+~P22(f35(x7971,x7972,x7973,x7973),f46(x7974,f40(x7974,x7973),x7973,x7973,x7973),f53(x7973,x7973))
% 4.88/4.93 [802]~P22(f35(x8021,x8023,x8024,x8024),f46(x8022,f40(x8022,x8024),x8024,x8024,x8024),f53(x8024,x8024))+P22(f35(x8021,f29(x8022,x8021,x8023,x8024),x8024,x8024),x8022,f53(x8024,x8024))
% 4.88/4.93 [803]~P22(f35(x8032,x8033,x8034,x8034),f46(x8031,f40(x8031,x8034),x8034,x8034,x8034),f53(x8034,x8034))+P22(f35(f30(x8031,x8032,x8033,x8034),x8033,x8034,x8034),x8031,f53(x8034,x8034))
% 4.88/4.93 [804]~P22(f35(x8041,x8043,x8044,x8044),f46(x8042,f40(x8042,x8044),x8044,x8044,x8044),f53(x8044,x8044))+P22(f35(x8041,f30(x8042,x8041,x8043,x8044),x8044,x8044),f40(x8042,x8044),f53(x8044,x8044))
% 4.88/4.93 [805]~P22(f35(x8052,x8053,x8054,x8054),f46(x8051,f40(x8051,x8054),x8054,x8054,x8054),f53(x8054,x8054))+P22(f35(f29(x8051,x8052,x8053,x8054),x8053,x8054,x8054),f40(x8051,x8054),f53(x8054,x8054))
% 4.88/4.93 [571]~P31(f38(x5712,x5714))+P31(f38(f4(x5711,x5712,f52(x5713,a1)),x5714))
% 4.88/4.93 [572]~P31(f38(x5721,x5724))+P31(f38(f4(x5721,x5722,f52(x5723,a1)),x5724))
% 4.88/4.93 [593]P22(x5931,x5934,x5933)+E(f6(f43(x5931,x5932,x5933),x5934,f52(x5933,a1)),f43(x5931,f6(x5932,x5934,f52(x5933,a1)),x5933))
% 4.88/4.93 [604]~P22(x6041,x6042,x6044)+E(f43(x6041,f5(x6042,x6043,f52(x6044,a1)),x6044),f5(x6042,f43(x6041,x6043,x6044),f52(x6044,a1)))
% 4.88/4.93 [605]~P22(x6051,x6053,x6054)+E(f43(x6051,f5(x6052,x6053,f52(x6054,a1)),x6054),f5(f43(x6051,x6052,x6054),x6053,f52(x6054,a1)))
% 4.88/4.93 [606]E(x6061,f33(f52(x6062,a1)))+E(f44(f7(x6063,x6064,x6062),x6061,x6062,x6064),f43(x6063,f33(f52(x6064,a1)),x6064))
% 4.88/4.93 [614]P31(f38(x6141,x6142))+~P31(f38(f5(x6143,x6141,f52(x6144,a1)),x6142))
% 4.88/4.93 [615]P31(f38(x6151,x6152))+~P31(f38(f5(x6151,x6153,f52(x6154,a1)),x6152))
% 4.88/4.93 [815]~P22(f35(x8151,x8152,x8153,x8153),f46(f41(x8154,x8153,x8153),f40(f41(x8154,x8153,x8153),x8153),x8153,x8153,x8153),f53(x8153,x8153))+P22(f35(x8151,x8152,x8153,x8153),f41(f46(x8154,f40(x8154,x8153),x8153,x8153,x8153),x8153,x8153),f53(x8153,x8153))
% 4.88/4.93 [816]~P22(f35(x8161,x8162,x8163,x8163),f41(f46(x8164,f40(x8164,x8163),x8163,x8163,x8163),x8163,x8163),f53(x8163,x8163))+P22(f35(x8161,x8162,x8163,x8163),f46(f41(x8164,x8163,x8163),f40(f41(x8164,x8163,x8163),x8163),x8163,x8163,x8163),f53(x8163,x8163))
% 4.88/4.93 [646]~P22(x6461,f40(x6463,x6464),f53(x6464,x6464))+P22(x6461,f40(f4(x6462,x6463,f52(f53(x6464,x6464),a1)),x6464),f53(x6464,x6464))
% 4.88/4.93 [647]~P22(x6471,f40(x6472,x6474),f53(x6474,x6474))+P22(x6471,f40(f4(x6472,x6473,f52(f53(x6474,x6474),a1)),x6474),f53(x6474,x6474))
% 4.88/4.93 [633]~P22(x6332,x6333,x6334)+P22(f38(x6331,x6332),f44(x6331,x6333,x6334,x6335),x6335)
% 4.88/4.93 [672]~P22(f35(x6721,x6725,x6723,x6724),x6722,f53(x6723,x6724))+P22(x6721,f32(x6722,x6723,x6724),x6723)
% 4.88/4.93 [689]~P21(x6892,x6895,f52(x6893,a1))+P21(f44(x6891,x6892,x6893,x6894),f44(x6891,x6895,x6893,x6894),f52(x6894,a1))
% 4.88/4.93 [721]~P22(f35(x7212,x7211,x7214,x7213),x7215,f53(x7214,x7213))+P22(f35(x7211,x7212,x7213,x7214),f41(x7215,x7214,x7213),f53(x7213,x7214))
% 4.88/4.93 [722]~P22(f35(x7222,x7221,x7224,x7223),f41(x7225,x7223,x7224),f53(x7224,x7223))+P22(f35(x7221,x7222,x7223,x7224),x7225,f53(x7223,x7224))
% 4.88/4.93 [745]P13(x7451,x7452,x7453,x7454,x7455)+~P22(f35(x7452,x7453,x7454,x7455),x7451,f53(x7454,x7455))
% 4.88/4.93 [761]~P13(x7615,x7611,x7612,x7613,x7614)+P22(f35(x7611,x7612,x7613,x7614),x7615,f53(x7613,x7614))
% 4.88/4.93 [776]~P22(x7762,f42(x7763,x7761,x7764,x7765),x7765)+P22(f21(x7761,x7762,x7763,x7764,x7765),x7761,x7764)
% 4.88/4.93 [777]~P22(x7772,f42(x7773,x7771,x7774,x7775),x7775)+P22(f22(x7771,x7772,x7773,x7774,x7775),x7771,x7774)
% 4.88/4.93 [655]~P22(x6552,x6553,x6554)+E(f43(f38(x6551,x6552),f44(x6551,x6553,x6554,x6555),x6555),f44(x6551,x6553,x6554,x6555))
% 4.88/4.93 [694]~P22(f35(x6945,x6941,x6943,x6944),x6942,f53(x6943,x6944))+P22(x6941,f32(f41(x6942,x6943,x6944),x6944,x6943),x6944)
% 4.88/4.93 [799]~P22(x7992,f42(x7993,x7991,x7994,x7995),x7995)+P22(f35(f21(x7991,x7992,x7993,x7994,x7995),x7992,x7994,x7995),x7993,f53(x7994,x7995))
% 4.88/4.93 [800]~P22(x8002,f42(x8003,x8001,x8004,x8005),x8005)+P22(f35(f22(x8001,x8002,x8003,x8004,x8005),x8002,x8004,x8005),x8003,f53(x8004,x8005))
% 4.88/4.93 [613]~P22(x6135,x6134,x6133)+E(f44(f7(x6131,x6132,x6133),x6134,x6133,x6132),f43(x6131,f33(f52(x6132,a1)),x6132))
% 4.88/4.93 [723]~P14(f41(x7231,x7233,x7234),x7234,x7233)+E(f5(f42(x7231,x7232,x7233,x7234),f42(x7231,x7235,x7233,x7234),f52(x7234,a1)),f42(x7231,f5(x7232,x7235,f52(x7233,a1)),x7233,x7234))
% 4.88/4.93 [736]~P22(f35(x7363,x7361,x7364,x7365),x7362,f53(x7364,x7365))+P22(x7361,f42(x7362,f43(x7363,f33(f52(x7364,a1)),x7364),x7364,x7365),x7365)
% 4.88/4.93 [744]P22(f35(x7441,x7442,x7443,x7444),x7445,f53(x7443,x7444))+~P22(x7442,f42(x7445,f43(x7441,f33(f52(x7443,a1)),x7443),x7443,x7444),x7444)
% 4.88/4.93 [644]E(x6441,x6442)+~E(f35(x6443,x6441,x6444,x6445),f35(x6446,x6442,x6444,x6445))
% 4.88/4.93 [645]E(x6451,x6452)+~E(f35(x6451,x6453,x6454,x6455),f35(x6452,x6456,x6454,x6455))
% 4.88/4.93 [724]P22(x7241,x7242,x7243)+~P22(f35(x7241,x7244,x7243,x7245),f36(x7242,x7246,x7243,x7245),f53(x7243,x7245))
% 4.88/4.93 [726]~P22(f35(x7263,x7261,x7265,x7264),f36(x7266,x7262,x7265,x7264),f53(x7265,x7264))+P22(x7261,f38(x7262,x7263),x7264)
% 4.88/4.93 [746]P22(f35(x7461,x7462,x7463,x7463),f45(x7464,x7465,x7466,x7463),f53(x7463,x7463))+~P22(f35(f38(x7465,x7461),f38(x7465,x7462),x7466,x7466),x7464,f53(x7466,x7466))
% 4.88/4.93 [754]~P22(f35(x7542,x7543,x7546,x7546),f45(x7545,x7541,x7544,x7546),f53(x7546,x7546))+P22(f35(f38(x7541,x7542),f38(x7541,x7543),x7544,x7544),x7545,f53(x7544,x7544))
% 4.88/4.93 [779]~P22(f35(x7796,x7793,x7794,x7794),x7792,f53(x7794,x7794))+E(f38(f37(x7791,x7792,x7793,x7794,x7795),x7796),f38(x7791,x7796))
% 4.88/4.93 [742]P21(f42(x7421,x7422,x7423,x7424),x7425,f52(x7424,a1))+~P21(x7421,f36(x7426,f7(x7425,f52(x7424,a1),x7423),x7423,x7424),f52(f53(x7423,x7424),a1))
% 4.88/4.93 [753]~P22(x7531,f38(f38(x7532,x7536),x7537),x7535)+P22(x7531,f38(f47(x7532,x7533,x7534,f52(x7535,a1)),f35(x7536,x7537,x7533,x7534)),x7535)
% 4.88/4.93 [766]~P22(f35(x7662,x7663,x7664,x7665),x7667,f53(x7664,x7665))+P22(f38(f38(x7661,x7662),x7663),f44(f47(x7661,x7664,x7665,x7666),x7667,f53(x7664,x7665),x7666),x7666)
% 4.88/4.93 [808]P31(f38(f38(f38(x8081,x8082),x8083),x8084))+~P31(f38(f38(f47(x8081,x8085,x8086,f52(x8087,a1)),f35(x8082,x8083,x8085,x8086)),x8084))
% 4.88/4.93 [680]E(x6801,x6802)+P22(f35(x6801,x6802,a2,a2),f51(a50),f53(a2,a2))+P22(f35(x6802,x6801,a2,a2),f51(a50),f53(a2,a2))
% 4.88/4.93 [713]E(x7131,x7132)+~P22(f35(x7131,x7132,a2,a2),f38(a50,a56),f53(a2,a2))+P22(f35(x7131,x7132,a2,a2),f51(a50),f53(a2,a2))
% 4.88/4.93 [771]~P6(x7711,x7712)+~P5(x7711,x7712)+P21(f46(f41(x7711,x7712,x7712),x7711,x7712,x7712,x7712),x7711,f52(f53(x7712,x7712),a1))
% 4.88/4.93 [535]~P5(x5351,x5352)+~P7(x5351,x5352)+P5(f6(x5351,f3(x5352),f52(f53(x5352,x5352),a1)),x5352)
% 4.88/4.93 [430]P21(x4302,x4301,x4303)+~P30(x4303)+P21(x4301,x4302,x4303)
% 4.88/4.93 [423]~P3(x4232)+~E(f4(x4233,x4231,x4232),f33(x4232))+E(x4231,f33(x4232))
% 4.88/4.93 [424]~P3(x4242)+~E(f4(x4241,x4243,x4242),f33(x4242))+E(x4241,f33(x4242))
% 4.88/4.93 [438]~P23(x4383)+~P21(x4381,x4382,x4383)+E(f4(x4381,x4382,x4383),x4382)
% 4.88/4.93 [439]~P23(x4393)+~P21(x4392,x4391,x4393)+E(f4(x4391,x4392,x4393),x4391)
% 4.88/4.93 [440]~P24(x4403)+~P21(x4402,x4401,x4403)+E(f5(x4401,x4402,x4403),x4402)
% 4.88/4.93 [441]~P24(x4413)+~P21(x4411,x4412,x4413)+E(f5(x4411,x4412,x4413),x4411)
% 4.88/4.93 [442]~P23(x4423)+P21(x4421,x4422,x4423)+~E(f4(x4421,x4422,x4423),x4422)
% 4.88/4.93 [443]~P24(x4433)+P21(x4431,x4432,x4433)+~E(f5(x4431,x4432,x4433),x4431)
% 4.88/4.93 [490]E(x4901,x4902)+~P21(x4901,x4902,f52(x4903,a1))+~P21(x4902,x4901,f52(x4903,a1))
% 4.88/4.93 [687]E(x6871,x6872)+P22(f35(x6871,x6872,a2,a2),f38(a50,x6873),f53(a2,a2))+P22(f35(x6872,x6871,a2,a2),f38(a50,x6873),f53(a2,a2))
% 4.88/4.93 [484]P20(x4841,x4842)+~P20(x4843,x4842)+~P21(x4841,x4843,f52(f53(x4842,x4842),a1))
% 4.88/4.93 [485]P19(x4851,x4852)+~P19(x4853,x4852)+~P21(x4851,x4853,f52(f53(x4852,x4852),a1))
% 4.88/4.93 [486]P7(x4861,x4862)+~P7(x4863,x4862)+~P21(x4861,x4863,f52(f53(x4862,x4862),a1))
% 4.88/4.93 [505]~P22(x5052,f48(x5053,a49),a49)+P31(f38(x5051,x5052))+~P31(f38(x5051,f57(x5051,x5053)))
% 4.88/4.93 [506]~P22(x5062,f48(x5063,a49),a49)+P31(f38(x5061,x5062))+~P31(f38(x5061,f58(x5061,x5063)))
% 4.88/4.93 [603]E(f40(x6031,x6032),f40(x6033,x6032))+~P21(x6031,f40(x6033,x6032),f52(f53(x6032,x6032),a1))+~P21(x6033,x6031,f52(f53(x6032,x6032),a1))
% 4.88/4.93 [662]~P20(x6623,x6622)+~P21(x6621,f42(x6623,x6621,x6622,x6622),f52(x6622,a1))+E(x6621,f33(f52(x6622,a1)))
% 4.88/4.93 [527]~P6(x5272,x5273)+~P6(x5271,x5273)+P6(f4(x5271,x5272,f52(f53(x5273,x5273),a1)),x5273)
% 4.88/4.93 [528]~P6(x5282,x5283)+~P6(x5281,x5283)+P6(f5(x5281,x5282,f52(f53(x5283,x5283),a1)),x5283)
% 4.88/4.93 [529]~P5(x5292,x5293)+~P5(x5291,x5293)+P5(f5(x5291,x5292,f52(f53(x5293,x5293),a1)),x5293)
% 4.88/4.93 [619]~P21(x6191,f43(x6193,f33(f52(x6192,a1)),x6192),f52(x6192,a1))+E(x6191,f33(f52(x6192,a1)))+E(x6191,f43(x6193,f33(f52(x6192,a1)),x6192))
% 4.88/4.93 [795]~P21(f3(x7952),x7953,f52(f53(x7952,x7952),a1))+P21(f40(x7951,x7952),x7953,f52(f53(x7952,x7952),a1))+~P21(f46(f5(f40(x7951,x7952),x7953,f52(f53(x7952,x7952),a1)),x7951,x7952,x7952,x7952),x7953,f52(f53(x7952,x7952),a1))
% 4.88/4.93 [820]~P21(x8201,x8203,f52(f53(x8202,x8202),a1))+P21(f46(x8201,f40(x8201,x8202),x8202,x8202,x8202),x8203,f52(f53(x8202,x8202),a1))+~P21(f46(f5(f46(x8201,f40(x8201,x8202),x8202,x8202,x8202),x8203,f52(f53(x8202,x8202),a1)),x8201,x8202,x8202,x8202),x8203,f52(f53(x8202,x8202),a1))
% 4.88/4.93 [454]~P26(x4544)+E(x4541,x4542)+~E(f6(x4543,x4543,x4544),f6(x4541,x4542,x4544))
% 4.88/4.93 [455]~P26(x4553)+E(x4551,x4552)+~E(f6(x4551,x4552,x4553),f6(x4554,x4554,x4553))
% 4.88/4.93 [465]~P21(x4653,x4651,f52(x4654,a1))+P31(f38(x4651,x4652))+~P31(f38(x4653,x4652))
% 4.88/4.93 [495]~P23(x4954)+~P21(x4951,x4953,x4954)+P21(x4951,f4(x4952,x4953,x4954),x4954)
% 4.88/4.93 [496]~P23(x4964)+~P21(x4961,x4962,x4964)+P21(x4961,f4(x4962,x4963,x4964),x4964)
% 4.88/4.93 [497]~P24(x4973)+~P21(x4972,x4974,x4973)+P21(f5(x4971,x4972,x4973),x4974,x4973)
% 4.88/4.93 [498]~P24(x4983)+~P21(x4981,x4984,x4983)+P21(f5(x4981,x4982,x4983),x4984,x4983)
% 4.88/4.93 [502]P22(x5021,x5022,x5023)+~P22(x5021,x5024,x5023)+~P21(x5024,x5022,f52(x5023,a1))
% 4.88/4.93 [503]~P20(x5032,x5033)+~P22(x5034,x5031,x5033)+P22(f10(x5031,x5032,x5033),x5031,x5033)
% 4.88/4.93 [504]~P20(x5042,x5043)+~P22(x5044,x5041,x5043)+P22(f11(x5041,x5042,x5043),x5041,x5043)
% 4.88/4.93 [518]E(x5181,x5182)+P22(x5181,x5183,x5184)+~P22(x5181,f43(x5182,x5183,x5184),x5184)
% 4.88/4.93 [520]~P24(x5203)+P21(x5201,x5202,x5203)+~P21(x5201,f5(x5204,x5202,x5203),x5203)
% 4.88/4.93 [522]~P24(x5223)+P21(x5221,x5222,x5223)+~P21(x5221,f5(x5222,x5224,x5223),x5223)
% 4.88/4.93 [524]~P23(x5243)+P21(x5241,x5242,x5243)+~P21(f4(x5244,x5241,x5243),x5242,x5243)
% 4.88/4.93 [526]~P23(x5263)+P21(x5261,x5262,x5263)+~P21(f4(x5261,x5264,x5263),x5262,x5263)
% 4.88/4.93 [534]~P21(x5341,x5344,f52(x5343,a1))+~P21(x5344,x5342,f52(x5343,a1))+P21(x5341,x5342,f52(x5343,a1))
% 4.88/4.93 [555]~P22(x5552,f48(x5553,x5554),x5554)+P22(f12(x5551,x5553,x5554),f48(x5553,x5554),x5554)+P31(f38(x5551,x5552))
% 4.88/4.93 [556]~P22(x5562,f48(x5563,x5564),x5564)+P22(f13(x5561,x5563,x5564),f48(x5563,x5564),x5564)+P31(f38(x5561,x5562))
% 4.88/4.93 [574]~P22(x5741,x5744,x5743)+~P21(x5742,x5744,f52(x5743,a1))+P21(f43(x5741,x5742,x5743),x5744,f52(x5743,a1))
% 4.88/4.93 [581]P22(x5811,x5812,x5813)+~P21(x5812,f43(x5811,x5814,x5813),f52(x5813,a1))+P21(x5812,x5814,f52(x5813,a1))
% 4.88/4.93 [642]~P15(x6424,x6423,x6422)+~P22(x6421,x6424,x6422)+P22(f35(x6421,x6421,x6422,x6422),x6423,f53(x6422,x6422))
% 4.88/4.93 [677]E(x6771,x6772)+~P22(f35(x6771,x6772,x6774,x6774),f40(x6773,x6774),f53(x6774,x6774))+P22(x6771,f32(x6773,x6774,x6774),x6774)
% 4.88/4.93 [679]~P22(f35(x6791,x6794,x6793,x6793),x6792,f53(x6793,x6793))+P22(x6791,f48(x6792,x6793),x6793)+~P22(x6794,f48(x6792,x6793),x6793)
% 4.88/4.93 [685]~P22(f35(x6851,x6854,x6853,x6853),f40(x6852,x6853),f53(x6853,x6853))+P22(x6851,f48(x6852,x6853),x6853)+~P22(x6854,f48(x6852,x6853),x6853)
% 4.88/4.93 [714]E(x7141,x7142)+~P22(f35(x7143,x7141,a2,a2),f8(x7144,x7142),f53(a2,a2))+P22(f35(x7143,x7141,a2,a2),x7144,f53(a2,a2))
% 4.88/4.93 [715]E(x7151,x7152)+~P22(f35(x7151,x7153,a2,a2),f9(x7154,x7152),f53(a2,a2))+P22(f35(x7151,x7153,a2,a2),x7154,f53(a2,a2))
% 4.88/4.93 [717]~P6(x7174,x7173)+~P22(f35(x7172,x7171,x7173,x7173),x7174,f53(x7173,x7173))+P22(f35(x7171,x7172,x7173,x7173),x7174,f53(x7173,x7173))
% 4.88/4.93 [731]~P20(x7311,x7312)+~P22(f35(x7314,x7313,x7312,x7312),x7311,f53(x7312,x7312))+~P22(f35(x7313,x7314,x7312,x7312),x7311,f53(x7312,x7312))
% 4.88/4.93 [546]~P22(x5464,x5462,x5463)+~P22(x5464,x5461,x5463)+~E(f5(x5461,x5462,f52(x5463,a1)),f33(f52(x5463,a1)))
% 4.88/4.93 [554]P14(x5541,x5542,x5543)+~P14(x5544,x5542,x5543)+~P21(x5541,x5544,f52(f53(x5542,x5543),a1))
% 4.88/4.93 [559]~P22(x5591,x5594,x5593)+P22(x5591,x5592,x5593)+P22(x5591,f6(x5594,x5592,f52(x5593,a1)),x5593)
% 4.88/4.93 [567]~P22(x5671,x5673,x5674)+~P22(x5671,x5672,x5674)+P22(x5671,f5(x5672,x5673,f52(x5674,a1)),x5674)
% 4.88/4.93 [578]E(x5781,x5782)+P31(f38(x5783,x5781))+~P31(f38(f43(x5782,x5783,x5784),x5781))
% 4.88/4.93 [584]P22(x5841,x5842,x5843)+P22(x5841,x5844,x5843)+~P22(x5841,f4(x5842,x5844,f52(x5843,a1)),x5843)
% 4.88/4.93 [599]~P21(x5991,x5992,f52(x5994,a1))+~P21(x5991,x5993,f52(x5994,a1))+P21(x5991,f5(x5992,x5993,f52(x5994,a1)),f52(x5994,a1))
% 4.88/4.93 [601]~P21(x6011,x6014,f52(x6013,a1))+~P21(x6012,x6014,f52(x6013,a1))+P21(f4(x6011,x6012,f52(x6013,a1)),x6014,f52(x6013,a1))
% 4.88/4.93 [602]~P21(x6021,x6022,f52(x6024,a1))+~P21(x6023,x6021,f52(x6024,a1))+E(f6(x6021,f6(x6022,x6023,f52(x6024,a1)),f52(x6024,a1)),x6023)
% 4.88/4.93 [611]~P22(x6112,f48(x6113,x6114),x6114)+P31(f38(x6111,x6112))+~P31(f38(x6111,f12(x6111,x6113,x6114)))
% 4.88/4.93 [612]~P22(x6122,f48(x6123,x6124),x6124)+P31(f38(x6121,x6122))+~P31(f38(x6121,f13(x6121,x6123,x6124)))
% 4.88/4.93 [666]~P22(x6662,x6661,x6663)+~P21(x6661,f43(x6662,x6664,x6663),f52(x6663,a1))+P21(f6(x6661,f43(x6662,f33(f52(x6663,a1)),x6663),f52(x6663,a1)),x6664,f52(x6663,a1))
% 4.88/4.93 [698]~P22(x6982,x6981,x6984)+P21(x6981,f43(x6982,x6983,x6984),f52(x6984,a1))+~P21(f6(x6981,f43(x6982,f33(f52(x6984,a1)),x6984),f52(x6984,a1)),x6983,f52(x6984,a1))
% 4.88/4.93 [727]~P20(x7274,x7273)+P22(f35(x7272,x7271,x7273,x7273),f40(x7274,x7273),f53(x7273,x7273))+P20(f43(f35(x7271,x7272,x7273,x7273),x7274,f53(x7273,x7273)),x7273)
% 4.88/4.93 [728]~P19(x7284,x7283)+P22(f35(x7282,x7281,x7283,x7283),f40(x7284,x7283),f53(x7283,x7283))+P19(f43(f35(x7281,x7282,x7283,x7283),x7284,f53(x7283,x7283)),x7283)
% 4.88/4.93 [785]E(x7851,x7852)+~P22(f35(x7851,x7852,x7853,x7853),f40(x7854,x7853),f53(x7853,x7853))+P22(f35(x7851,x7852,x7853,x7853),f46(x7854,f40(x7854,x7853),x7853,x7853,x7853),f53(x7853,x7853))
% 4.88/4.93 [806]~P22(x8061,f46(x8064,f40(x8064,x8063),x8063,x8063,x8063),f53(x8063,x8063))+P22(x8061,f46(x8062,f40(x8062,x8063),x8063,x8063,x8063),f53(x8063,x8063))+~P21(x8064,x8062,f52(f53(x8063,x8063),a1))
% 4.88/4.93 [583]~P31(f38(x5832,x5834))+~P31(f38(x5831,x5834))+P31(f38(f5(x5831,x5832,f52(x5833,a1)),x5834))
% 4.88/4.93 [618]P31(f38(x6181,x6182))+P31(f38(x6183,x6182))+~P31(f38(f4(x6181,x6183,f52(x6184,a1)),x6182))
% 4.88/4.93 [681]~P8(x6814,x6812,x6813)+~P22(x6811,x6814,x6813)+P22(x6811,f42(x6812,f43(x6811,f33(f52(x6813,a1)),x6813),x6813,x6813),x6813)
% 4.88/4.93 [487]~P4(x4874)+P21(f38(x4871,x4872),f38(x4873,x4872),x4874)+~P21(x4871,x4873,f52(x4875,x4874))
% 4.88/4.93 [667]P22(x6671,x6672,x6673)+~P15(x6672,x6674,x6673)+~P22(f35(x6675,x6671,x6673,x6673),x6674,f53(x6673,x6673))
% 4.88/4.93 [668]P22(x6681,x6682,x6683)+~P15(x6682,x6684,x6683)+~P22(f35(x6681,x6685,x6683,x6683),x6684,f53(x6683,x6683))
% 4.88/4.93 [669]P22(x6691,x6692,x6693)+~P8(x6692,x6694,x6693)+~P22(f35(x6695,x6691,x6693,x6693),x6694,f53(x6693,x6693))
% 4.88/4.93 [670]P22(x6701,x6702,x6703)+~P8(x6702,x6704,x6703)+~P22(f35(x6701,x6705,x6703,x6703),x6704,f53(x6703,x6703))
% 4.88/4.93 [758]P22(f35(x7581,x7582,x7583,x7583),f40(x7584,x7583),f53(x7583,x7583))+~P22(f35(x7581,x7585,x7583,x7583),f40(x7584,x7583),f53(x7583,x7583))+~P22(f35(x7585,x7582,x7583,x7583),x7584,f53(x7583,x7583))
% 4.88/4.93 [759]P22(f35(x7591,x7592,x7593,x7593),f40(x7594,x7593),f53(x7593,x7593))+~P22(f35(x7595,x7592,x7593,x7593),f40(x7594,x7593),f53(x7593,x7593))+~P22(f35(x7591,x7595,x7593,x7593),x7594,f53(x7593,x7593))
% 4.88/4.93 [762]P22(f35(x7621,x7622,x7623,x7623),f40(x7624,x7623),f53(x7623,x7623))+~P22(f35(x7621,x7625,x7623,x7623),f40(x7624,x7623),f53(x7623,x7623))+~P22(f35(x7625,x7622,x7623,x7623),f40(x7624,x7623),f53(x7623,x7623))
% 4.88/4.93 [767]~P14(x7672,x7674,x7675)+~P14(x7671,x7673,x7674)+P14(f46(x7671,x7672,x7673,x7674,x7675),x7673,x7675)
% 4.88/4.93 [625]~P21(x6251,x6254,f52(x6253,a1))+~P21(x6252,x6255,f52(x6253,a1))+P21(f4(x6251,x6252,f52(x6253,a1)),f4(x6254,x6255,f52(x6253,a1)),f52(x6253,a1))
% 4.88/4.93 [626]~P21(x6261,x6264,f52(x6263,a1))+~P21(x6265,x6262,f52(x6263,a1))+P21(f6(x6261,x6262,f52(x6263,a1)),f6(x6264,x6265,f52(x6263,a1)),f52(x6263,a1))
% 4.88/4.93 [627]~P21(x6271,x6274,f52(x6273,a1))+~P21(x6272,x6275,f52(x6273,a1))+P21(f5(x6271,x6272,f52(x6273,a1)),f5(x6274,x6275,f52(x6273,a1)),f52(x6273,a1))
% 4.88/4.93 [790]~P22(f35(x7901,x7905,x7903,x7903),x7904,f53(x7903,x7903))+~P22(f35(x7905,x7902,x7903,x7903),x7904,f53(x7903,x7903))+P22(f35(x7901,x7902,x7903,x7903),f46(x7904,f40(x7904,x7903),x7903,x7903,x7903),f53(x7903,x7903))
% 4.88/4.93 [792]~P22(f35(x7921,x7925,x7923,x7923),f40(x7924,x7923),f53(x7923,x7923))+~P22(f35(x7925,x7922,x7923,x7923),x7924,f53(x7923,x7923))+P22(f35(x7921,x7922,x7923,x7923),f46(x7924,f40(x7924,x7923),x7923,x7923,x7923),f53(x7923,x7923))
% 4.88/4.93 [809]~P22(f35(x8095,x8092,x8093,x8093),x8094,f53(x8093,x8093))+P22(f35(x8091,x8092,x8093,x8093),f46(x8094,f40(x8094,x8093),x8093,x8093,x8093),f53(x8093,x8093))+~P22(f35(x8091,x8095,x8093,x8093),f46(x8094,f40(x8094,x8093),x8093,x8093,x8093),f53(x8093,x8093))
% 4.88/4.93 [810]~P22(f35(x8101,x8105,x8103,x8103),x8104,f53(x8103,x8103))+P22(f35(x8101,x8102,x8103,x8103),f46(x8104,f40(x8104,x8103),x8103,x8103,x8103),f53(x8103,x8103))+~P22(f35(x8105,x8102,x8103,x8103),f46(x8104,f40(x8104,x8103),x8103,x8103,x8103),f53(x8103,x8103))
% 4.88/4.93 [811]~P22(f35(x8115,x8112,x8113,x8113),f40(x8114,x8113),f53(x8113,x8113))+P22(f35(x8111,x8112,x8113,x8113),f46(x8114,f40(x8114,x8113),x8113,x8113,x8113),f53(x8113,x8113))+~P22(f35(x8111,x8115,x8113,x8113),f46(x8114,f40(x8114,x8113),x8113,x8113,x8113),f53(x8113,x8113))
% 4.88/4.93 [812]~P22(f35(x8121,x8125,x8123,x8123),f40(x8124,x8123),f53(x8123,x8123))+P22(f35(x8121,x8122,x8123,x8123),f46(x8124,f40(x8124,x8123),x8123,x8123,x8123),f53(x8123,x8123))+~P22(f35(x8125,x8122,x8123,x8123),f46(x8124,f40(x8124,x8123),x8123,x8123,x8123),f53(x8123,x8123))
% 4.88/4.93 [817]P22(f35(x8171,x8172,x8173,x8173),f46(x8174,f40(x8174,x8173),x8173,x8173,x8173),f53(x8173,x8173))+~P22(f35(x8171,x8175,x8173,x8173),f46(x8174,f40(x8174,x8173),x8173,x8173,x8173),f53(x8173,x8173))+~P22(f35(x8175,x8172,x8173,x8173),f46(x8174,f40(x8174,x8173),x8173,x8173,x8173),f53(x8173,x8173))
% 4.88/4.93 [628]~P15(x6282,x6285,x6283)+~P15(x6281,x6284,x6283)+P15(f4(x6281,x6282,f52(x6283,a1)),f4(x6284,x6285,f52(f53(x6283,x6283),a1)),x6283)
% 4.88/4.93 [629]~P15(x6292,x6295,x6293)+~P15(x6291,x6294,x6293)+P15(f5(x6291,x6292,f52(x6293,a1)),f5(x6294,x6295,f52(f53(x6293,x6293),a1)),x6293)
% 4.88/4.93 [649]E(x6491,x6492)+E(x6491,x6493)+~E(f43(x6494,f43(x6491,f33(f52(x6495,a1)),x6495),x6495),f43(x6493,f43(x6492,f33(f52(x6495,a1)),x6495),x6495))
% 4.88/4.93 [650]E(x6501,x6502)+E(x6503,x6502)+~E(f43(x6503,f43(x6501,f33(f52(x6504,a1)),x6504),x6504),f43(x6505,f43(x6502,f33(f52(x6504,a1)),x6504),x6504))
% 4.88/4.93 [651]E(x6511,x6512)+E(x6513,x6512)+~E(f43(x6513,f43(x6511,f33(f52(x6514,a1)),x6514),x6514),f43(x6512,f43(x6515,f33(f52(x6514,a1)),x6514),x6514))
% 4.88/4.93 [652]E(x6521,x6522)+E(x6521,x6523)+~E(f43(x6521,f43(x6524,f33(f52(x6525,a1)),x6525),x6525),f43(x6523,f43(x6522,f33(f52(x6525,a1)),x6525),x6525))
% 4.88/4.93 [740]~P8(x7405,x7401,x7403)+~P22(f35(x7402,x7404,x7403,x7403),x7401,f53(x7403,x7403))+E(f42(x7401,f43(x7402,f33(f52(x7403,a1)),x7403),x7403,x7403),f42(x7401,f43(x7404,f33(f52(x7403,a1)),x7403),x7403,x7403))
% 4.88/4.93 [774]~P8(x7745,x7741,x7743)+~P22(f35(x7742,x7744,x7743,x7743),x7741,f53(x7743,x7743))+P21(f42(x7741,f43(x7742,f33(f52(x7743,a1)),x7743),x7743,x7743),f42(x7741,f43(x7744,f33(f52(x7743,a1)),x7743),x7743,x7743),f52(x7743,a1))
% 4.88/4.93 [673]~P22(x6732,x6735,x6736)+P22(f38(x6731,x6732),x6733,x6734)+~P21(f44(x6731,x6735,x6736,x6734),x6733,f52(x6734,a1))
% 4.88/4.93 [696]~P22(x6961,x6965,x6963)+~P22(x6962,f38(x6966,x6961),x6964)+P22(f35(x6961,x6962,x6963,x6964),f36(x6965,x6966,x6963,x6964),f53(x6963,x6964))
% 4.88/4.93 [699]~P9(x6994,x6991,x6995,x6996)+~P22(f35(x6992,x6993,x6995,x6995),x6994,f53(x6995,x6995))+E(f38(x6991,x6992),f38(x6991,x6993))
% 4.88/4.93 [719]~P22(x7196,x7193,x7194)+~P22(f35(x7196,x7191,x7194,x7195),x7192,f53(x7194,x7195))+P22(x7191,f42(x7192,x7193,x7194,x7195),x7195)
% 4.88/4.93 [702]~P21(x7022,x7026,f52(x7023,a1))+P21(f42(x7021,x7022,x7023,x7024),f42(x7025,x7026,x7023,x7024),f52(x7024,a1))+~P21(x7021,x7025,f52(f53(x7023,x7024),a1))
% 4.88/4.93 [780]P22(f18(x7801,x7802,x7803,x7804,x7805),x7801,x7804)+~P21(x7801,x7806,f52(x7804,a1))+P21(f36(x7801,x7802,x7804,x7805),f36(x7806,x7803,x7804,x7805),f52(f53(x7804,x7805),a1))
% 4.88/4.93 [807]~P8(x8075,x8074,x8073)+P22(f35(x8071,x8072,x8073,x8073),x8074,f53(x8073,x8073))+~P22(x8076,f5(f42(x8074,f43(x8071,f33(f52(x8073,a1)),x8073),x8073,x8073),f42(x8074,f43(x8072,f33(f52(x8073,a1)),x8073),x8073,x8073),f52(x8073,a1)),x8073)
% 4.88/4.93 [818]~P21(x8181,x8185,f52(x8183,a1))+~P21(f38(x8182,f18(x8181,x8182,x8186,x8183,x8184)),f38(x8186,f18(x8181,x8182,x8186,x8183,x8184)),f52(x8184,a1))+P21(f36(x8181,x8182,x8183,x8184),f36(x8185,x8186,x8183,x8184),f52(f53(x8183,x8184),a1))
% 4.88/4.93 [701]E(x7011,x7012)+~P22(x7016,x7013,x7014)+~E(f36(x7011,f7(x7013,f52(x7014,a1),x7015),x7015,x7014),f36(x7012,f7(x7013,f52(x7014,a1),x7015),x7015,x7014))
% 4.88/4.93 [741]~P22(x7416,x7412,x7413)+~P21(x7411,x7415,f52(x7414,a1))+P21(f36(x7411,f7(x7412,f52(x7413,a1),x7414),x7414,x7413),f36(x7415,f7(x7412,f52(x7413,a1),x7414),x7414,x7413),f52(f53(x7414,x7413),a1))
% 4.88/4.93 [773]~P22(x7734,x7735,x7736)+P21(x7731,x7732,f52(x7733,a1))+~P21(f36(x7731,f7(x7735,f52(x7736,a1),x7733),x7733,x7736),f36(x7732,f7(x7735,f52(x7736,a1),x7733),x7733,x7736),f52(f53(x7733,x7736),a1))
% 4.88/4.93 [787]~P22(f35(x7872,x7875,x7876,x7876),x7874,f53(x7876,x7876))+~E(f37(x7871,x7874,x7875,x7876,x7877),f37(x7873,x7874,x7875,x7876,x7877))+E(f38(x7871,x7872),f38(x7873,x7872))
% 4.88/4.93 [796]~P21(x7962,x7967,f52(f53(x7964,x7965),a1))+~P21(x7961,x7966,f52(f53(x7963,x7964),a1))+P21(f46(x7961,x7962,x7963,x7964,x7965),f46(x7966,x7967,x7963,x7964,x7965),f52(f53(x7963,x7965),a1))
% 4.88/4.93 [788]~P22(f35(x7881,x7888,x7883,x7887),x7885,f53(x7883,x7887))+P22(f35(x7881,x7882,x7883,x7884),f46(x7885,x7886,x7883,x7887,x7884),f53(x7883,x7884))+~P22(f35(x7888,x7882,x7887,x7884),x7886,f53(x7887,x7884))
% 4.88/4.93 [801]~P21(x8012,f36(x8018,f7(x8017,f52(x8015,a1),x8014),x8014,x8015),f52(f53(x8014,x8015),a1))+~P21(x8011,f36(x8016,f7(x8018,f52(x8014,a1),x8013),x8013,x8014),f52(f53(x8013,x8014),a1))+P21(f46(x8011,x8012,x8013,x8014,x8015),f36(x8016,f7(x8017,f52(x8015,a1),x8013),x8013,x8015),f52(f53(x8013,x8015),a1))
% 4.88/4.93 [458]~P21(x4582,x4581,x4583)+~P21(x4581,x4582,x4583)+E(x4581,x4582)+~P29(x4583)
% 4.88/4.93 [460]~P5(x4602,x4603)+~P16(x4602,x4603)+~P17(x4601,x4602,x4603)+P11(x4601,x4602,x4603)
% 4.88/4.93 [686]~P20(x6862,x6863)+~P20(x6861,x6863)+~E(f5(f32(x6861,x6863,x6863),f32(f41(x6862,x6863,x6863),x6863,x6863),f52(x6863,a1)),f33(f52(x6863,a1)))+P20(f4(x6861,x6862,f52(f53(x6863,x6863),a1)),x6863)
% 4.88/4.93 [786]~P20(x7862,x7863)+~P20(x7861,x7863)+~P21(f46(x7861,x7862,x7863,x7863,x7863),x7861,f52(f53(x7863,x7863),a1))+P20(f4(x7861,x7862,f52(f53(x7863,x7863),a1)),x7863)
% 4.88/4.93 [482]~P28(x4823)+~P21(x4821,x4824,x4823)+P21(x4821,x4822,x4823)+~P21(x4824,x4822,x4823)
% 4.88/4.93 [483]~P29(x4833)+~P21(x4831,x4834,x4833)+P21(x4831,x4832,x4833)+~P21(x4834,x4832,x4833)
% 4.88/4.93 [507]P22(x5073,x5071,x5074)+E(x5071,x5072)+P22(x5073,x5072,x5074)+~E(f43(x5073,x5071,x5074),f43(x5073,x5072,x5074))
% 4.88/4.93 [549]~P24(x5494)+~P21(x5491,x5493,x5494)+~P21(x5491,x5492,x5494)+P21(x5491,f5(x5492,x5493,x5494),x5494)
% 4.88/4.93 [552]~P23(x5523)+~P21(x5522,x5524,x5523)+~P21(x5521,x5524,x5523)+P21(f4(x5521,x5522,x5523),x5524,x5523)
% 4.88/4.93 [709]E(x7091,x7092)+E(x7093,x7092)+~P22(f35(x7093,x7091,a2,a2),x7094,f53(a2,a2))+P22(f35(x7093,x7091,a2,a2),f8(x7094,x7092),f53(a2,a2))
% 4.88/4.93 [710]E(x7101,x7102)+E(x7103,x7102)+~P22(f35(x7103,x7101,a2,a2),x7104,f53(a2,a2))+P22(f35(x7103,x7101,a2,a2),f9(x7104,x7102),f53(a2,a2))
% 4.88/4.93 [711]E(x7111,x7112)+E(x7113,x7111)+~P22(f35(x7113,x7111,a2,a2),x7114,f53(a2,a2))+P22(f35(x7113,x7111,a2,a2),f9(x7114,x7112),f53(a2,a2))
% 4.88/4.93 [712]E(x7121,x7122)+E(x7121,x7123)+~P22(f35(x7121,x7123,a2,a2),x7124,f53(a2,a2))+P22(f35(x7121,x7123,a2,a2),f8(x7124,x7122),f53(a2,a2))
% 4.88/4.93 [733]E(x7331,x7332)+~P7(x7333,x7334)+~P22(f35(x7332,x7331,x7334,x7334),x7333,f53(x7334,x7334))+~P22(f35(x7331,x7332,x7334,x7334),x7333,f53(x7334,x7334))
% 4.88/4.93 [682]~P22(x6823,f48(x6824,a49),a49)+~P22(f35(x6822,f57(x6821,x6824),a49,a49),x6824,f53(a49,a49))+P31(f38(x6821,x6822))+P31(f38(x6821,x6823))
% 4.88/4.93 [683]~P22(x6833,f48(x6834,a49),a49)+~P22(f35(x6832,f58(x6831,x6834),a49,a49),x6834,f53(a49,a49))+P31(f38(x6831,x6832))+P31(f38(x6831,x6833))
% 4.88/4.93 [690]~P22(x6902,f48(x6904,a49),a49)+P22(x6903,f48(x6904,a49),a49)+~P22(f35(x6903,f57(x6901,x6904),a49,a49),x6904,f53(a49,a49))+P31(f38(x6901,x6902))
% 4.88/4.93 [691]~P22(x6912,f48(x6914,a49),a49)+P22(x6913,f48(x6914,a49),a49)+~P22(f35(x6913,f58(x6911,x6914),a49,a49),x6914,f53(a49,a49))+P31(f38(x6911,x6912))
% 4.88/4.93 [532]~P27(x5323)+~P21(x5325,x5324,x5323)+P21(x5321,x5322,x5323)+~E(f6(x5324,x5325,x5323),f6(x5322,x5321,x5323))
% 4.88/4.93 [533]~P27(x5333)+~P21(x5335,x5334,x5333)+P21(x5331,x5332,x5333)+~E(f6(x5332,x5331,x5333),f6(x5334,x5335,x5333))
% 4.88/4.93 [756]~P5(x7564,x7563)+~P22(f35(x7561,x7565,x7563,x7563),x7564,f53(x7563,x7563))+P22(f35(x7561,x7562,x7563,x7563),x7564,f53(x7563,x7563))+~P22(f35(x7565,x7562,x7563,x7563),x7564,f53(x7563,x7563))
% 4.88/4.93 [705]~P22(x7053,f48(x7054,x7055),x7055)+~P22(f35(x7052,f12(x7051,x7054,x7055),x7055,x7055),x7054,f53(x7055,x7055))+P31(f38(x7051,x7052))+P31(f38(x7051,x7053))
% 4.88/4.93 [706]~P22(x7063,f48(x7064,x7065),x7065)+~P22(f35(x7062,f13(x7061,x7064,x7065),x7065,x7065),x7064,f53(x7065,x7065))+P31(f38(x7061,x7062))+P31(f38(x7061,x7063))
% 4.88/4.93 [707]~P20(x7071,x7072)+~P22(x7073,x7074,x7072)+~P22(x7075,x7074,x7072)+~P22(f35(x7075,f10(x7074,x7071,x7072),x7072,x7072),x7071,f53(x7072,x7072))
% 4.88/4.93 [708]~P20(x7081,x7082)+~P22(x7083,x7084,x7082)+~P22(x7085,x7084,x7082)+~P22(f35(x7085,f11(x7084,x7081,x7082),x7082,x7082),x7081,f53(x7082,x7082))
% 4.88/4.93 [760]E(x7601,x7602)+P22(x7601,x7603,x7604)+~P22(f35(x7601,x7602,x7604,x7604),f40(x7605,x7604),f53(x7604,x7604))+~P21(x7605,f36(x7603,f7(x7603,f52(x7604,a1),x7604),x7604,x7604),f52(f53(x7604,x7604),a1))
% 4.88/4.93 [749]~P8(x7495,x7494,x7493)+~P22(x7492,x7495,x7493)+P22(f35(x7491,x7492,x7493,x7493),x7494,f53(x7493,x7493))+~E(f42(x7494,f43(x7491,f33(f52(x7493,a1)),x7493),x7493,x7493),f42(x7494,f43(x7492,f33(f52(x7493,a1)),x7493),x7493,x7493))
% 4.88/4.93 [781]~P8(x7815,x7814,x7813)+~P22(x7812,x7815,x7813)+P22(f35(x7811,x7812,x7813,x7813),x7814,f53(x7813,x7813))+~P21(f42(x7814,f43(x7812,f33(f52(x7813,a1)),x7813),x7813,x7813),f42(x7814,f43(x7811,f33(f52(x7813,a1)),x7813),x7813,x7813),f52(x7813,a1))
% 4.88/4.93 [738]E(x7381,x7382)+~P14(x7383,x7384,x7385)+~P22(f35(x7386,x7381,x7384,x7385),x7383,f53(x7384,x7385))+~P22(f35(x7386,x7382,x7384,x7385),x7383,f53(x7384,x7385))
% 4.88/4.93 [813]~P10(x8138,x8131,x8132,x8137,x8134,x8135)+~P22(x8133,x8136,x8137)+~P8(x8136,x8138,x8137)+P9(x8131,f38(x8132,x8133),x8134,x8135)
% 4.88/4.93 [814]~P10(x8146,x8147,x8141,x8148,x8149,x81410)+~P22(f35(x8143,x8145,x8149,x8149),x8147,f53(x8149,x8149))+~P22(f35(x8142,x8144,x8148,x8148),x8146,f53(x8148,x8148))+E(f38(f38(x8141,x8142),x8143),f38(f38(x8141,x8144),x8145))
% 4.88/4.93 [775]~P14(x7754,x7753,x7753)+P22(f35(x7751,x7752,x7753,x7753),f40(x7754,x7753),f53(x7753,x7753))+P22(f35(x7752,x7751,x7753,x7753),f40(x7754,x7753),f53(x7753,x7753))+~P22(f35(x7755,x7752,x7753,x7753),f40(x7754,x7753),f53(x7753,x7753))+~P22(f35(x7755,x7751,x7753,x7753),f40(x7754,x7753),f53(x7753,x7753))
% 4.88/4.93 [704]~P22(x7041,x7045,x7043)+~P17(x7045,x7044,x7043)+E(x7041,x7042)+~P22(x7042,x7045,x7043)+P22(f35(x7041,x7042,x7043,x7043),x7044,f53(x7043,x7043))+P22(f35(x7042,x7041,x7043,x7043),x7044,f53(x7043,x7043))
% 4.88/4.93 %EqnAxiom
% 4.88/4.93 [1]E(x11,x11)
% 4.88/4.93 [2]E(x22,x21)+~E(x21,x22)
% 4.88/4.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 4.88/4.93 [4]~E(x41,x42)+E(f51(x41),f51(x42))
% 4.88/4.93 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 4.88/4.93 [6]~E(x61,x62)+E(f53(x61,x63),f53(x62,x63))
% 4.88/4.93 [7]~E(x71,x72)+E(f53(x73,x71),f53(x73,x72))
% 4.88/4.93 [8]~E(x81,x82)+E(f46(x81,x83,x84,x85,x86),f46(x82,x83,x84,x85,x86))
% 4.88/4.93 [9]~E(x91,x92)+E(f46(x93,x91,x94,x95,x96),f46(x93,x92,x94,x95,x96))
% 4.88/4.93 [10]~E(x101,x102)+E(f46(x103,x104,x101,x105,x106),f46(x103,x104,x102,x105,x106))
% 4.88/4.93 [11]~E(x111,x112)+E(f46(x113,x114,x115,x111,x116),f46(x113,x114,x115,x112,x116))
% 4.88/4.93 [12]~E(x121,x122)+E(f46(x123,x124,x125,x126,x121),f46(x123,x124,x125,x126,x122))
% 4.88/4.93 [13]~E(x131,x132)+E(f38(x131,x133),f38(x132,x133))
% 4.88/4.93 [14]~E(x141,x142)+E(f38(x143,x141),f38(x143,x142))
% 4.88/4.93 [15]~E(x151,x152)+E(f39(x151,x153),f39(x152,x153))
% 4.88/4.93 [16]~E(x161,x162)+E(f39(x163,x161),f39(x163,x162))
% 4.88/4.93 [17]~E(x171,x172)+E(f40(x171,x173),f40(x172,x173))
% 4.88/4.93 [18]~E(x181,x182)+E(f40(x183,x181),f40(x183,x182))
% 4.88/4.93 [19]~E(x191,x192)+E(f52(x191,x193),f52(x192,x193))
% 4.88/4.93 [20]~E(x201,x202)+E(f52(x203,x201),f52(x203,x202))
% 4.88/4.93 [21]~E(x211,x212)+E(f35(x211,x213,x214,x215),f35(x212,x213,x214,x215))
% 4.88/4.93 [22]~E(x221,x222)+E(f35(x223,x221,x224,x225),f35(x223,x222,x224,x225))
% 4.88/4.93 [23]~E(x231,x232)+E(f35(x233,x234,x231,x235),f35(x233,x234,x232,x235))
% 4.88/4.93 [24]~E(x241,x242)+E(f35(x243,x244,x245,x241),f35(x243,x244,x245,x242))
% 4.88/4.93 [25]~E(x251,x252)+E(f37(x251,x253,x254,x255,x256),f37(x252,x253,x254,x255,x256))
% 4.88/4.93 [26]~E(x261,x262)+E(f37(x263,x261,x264,x265,x266),f37(x263,x262,x264,x265,x266))
% 4.88/4.93 [27]~E(x271,x272)+E(f37(x273,x274,x271,x275,x276),f37(x273,x274,x272,x275,x276))
% 4.88/4.93 [28]~E(x281,x282)+E(f37(x283,x284,x285,x281,x286),f37(x283,x284,x285,x282,x286))
% 4.88/4.93 [29]~E(x291,x292)+E(f37(x293,x294,x295,x296,x291),f37(x293,x294,x295,x296,x292))
% 4.88/4.93 [30]~E(x301,x302)+E(f36(x301,x303,x304,x305),f36(x302,x303,x304,x305))
% 4.88/4.93 [31]~E(x311,x312)+E(f36(x313,x311,x314,x315),f36(x313,x312,x314,x315))
% 4.88/4.93 [32]~E(x321,x322)+E(f36(x323,x324,x321,x325),f36(x323,x324,x322,x325))
% 4.88/4.93 [33]~E(x331,x332)+E(f36(x333,x334,x335,x331),f36(x333,x334,x335,x332))
% 4.88/4.93 [34]~E(x341,x342)+E(f7(x341,x343,x344),f7(x342,x343,x344))
% 4.88/4.93 [35]~E(x351,x352)+E(f7(x353,x351,x354),f7(x353,x352,x354))
% 4.88/4.93 [36]~E(x361,x362)+E(f7(x363,x364,x361),f7(x363,x364,x362))
% 4.88/4.93 [37]~E(x371,x372)+E(f42(x371,x373,x374,x375),f42(x372,x373,x374,x375))
% 4.88/4.93 [38]~E(x381,x382)+E(f42(x383,x381,x384,x385),f42(x383,x382,x384,x385))
% 4.88/4.93 [39]~E(x391,x392)+E(f42(x393,x394,x391,x395),f42(x393,x394,x392,x395))
% 4.88/4.93 [40]~E(x401,x402)+E(f42(x403,x404,x405,x401),f42(x403,x404,x405,x402))
% 4.88/4.93 [41]~E(x411,x412)+E(f4(x411,x413,x414),f4(x412,x413,x414))
% 4.88/4.93 [42]~E(x421,x422)+E(f4(x423,x421,x424),f4(x423,x422,x424))
% 4.88/4.93 [43]~E(x431,x432)+E(f4(x433,x434,x431),f4(x433,x434,x432))
% 4.88/4.93 [44]~E(x441,x442)+E(f41(x441,x443,x444),f41(x442,x443,x444))
% 4.88/4.93 [45]~E(x451,x452)+E(f41(x453,x451,x454),f41(x453,x452,x454))
% 4.88/4.93 [46]~E(x461,x462)+E(f41(x463,x464,x461),f41(x463,x464,x462))
% 4.88/4.93 [47]~E(x471,x472)+E(f6(x471,x473,x474),f6(x472,x473,x474))
% 4.88/4.93 [48]~E(x481,x482)+E(f6(x483,x481,x484),f6(x483,x482,x484))
% 4.88/4.93 [49]~E(x491,x492)+E(f6(x493,x494,x491),f6(x493,x494,x492))
% 4.88/4.93 [50]~E(x501,x502)+E(f5(x501,x503,x504),f5(x502,x503,x504))
% 4.88/4.93 [51]~E(x511,x512)+E(f5(x513,x511,x514),f5(x513,x512,x514))
% 4.88/4.93 [52]~E(x521,x522)+E(f5(x523,x524,x521),f5(x523,x524,x522))
% 4.88/4.93 [53]~E(x531,x532)+E(f16(x531,x533),f16(x532,x533))
% 4.88/4.93 [54]~E(x541,x542)+E(f16(x543,x541),f16(x543,x542))
% 4.88/4.93 [55]~E(x551,x552)+E(f44(x551,x553,x554,x555),f44(x552,x553,x554,x555))
% 4.88/4.93 [56]~E(x561,x562)+E(f44(x563,x561,x564,x565),f44(x563,x562,x564,x565))
% 4.88/4.93 [57]~E(x571,x572)+E(f44(x573,x574,x571,x575),f44(x573,x574,x572,x575))
% 4.88/4.93 [58]~E(x581,x582)+E(f44(x583,x584,x585,x581),f44(x583,x584,x585,x582))
% 4.88/4.93 [59]~E(x591,x592)+E(f32(x591,x593,x594),f32(x592,x593,x594))
% 4.88/4.93 [60]~E(x601,x602)+E(f32(x603,x601,x604),f32(x603,x602,x604))
% 4.88/4.93 [61]~E(x611,x612)+E(f32(x613,x614,x611),f32(x613,x614,x612))
% 4.88/4.93 [62]~E(x621,x622)+E(f9(x621,x623),f9(x622,x623))
% 4.88/4.93 [63]~E(x631,x632)+E(f9(x633,x631),f9(x633,x632))
% 4.88/4.93 [64]~E(x641,x642)+E(f8(x641,x643),f8(x642,x643))
% 4.88/4.93 [65]~E(x651,x652)+E(f8(x653,x651),f8(x653,x652))
% 4.88/4.93 [66]~E(x661,x662)+E(f48(x661,x663),f48(x662,x663))
% 4.88/4.93 [67]~E(x671,x672)+E(f48(x673,x671),f48(x673,x672))
% 4.88/4.93 [68]~E(x681,x682)+E(f33(x681),f33(x682))
% 4.88/4.93 [69]~E(x691,x692)+E(f14(x691,x693,x694),f14(x692,x693,x694))
% 4.88/4.93 [70]~E(x701,x702)+E(f14(x703,x701,x704),f14(x703,x702,x704))
% 4.88/4.93 [71]~E(x711,x712)+E(f14(x713,x714,x711),f14(x713,x714,x712))
% 4.88/4.93 [72]~E(x721,x722)+E(f43(x721,x723,x724),f43(x722,x723,x724))
% 4.88/4.93 [73]~E(x731,x732)+E(f43(x733,x731,x734),f43(x733,x732,x734))
% 4.88/4.93 [74]~E(x741,x742)+E(f43(x743,x744,x741),f43(x743,x744,x742))
% 4.88/4.93 [75]~E(x751,x752)+E(f47(x751,x753,x754,x755),f47(x752,x753,x754,x755))
% 4.88/4.93 [76]~E(x761,x762)+E(f47(x763,x761,x764,x765),f47(x763,x762,x764,x765))
% 4.88/4.93 [77]~E(x771,x772)+E(f47(x773,x774,x771,x775),f47(x773,x774,x772,x775))
% 4.88/4.93 [78]~E(x781,x782)+E(f47(x783,x784,x785,x781),f47(x783,x784,x785,x782))
% 4.88/4.93 [79]~E(x791,x792)+E(f45(x791,x793,x794,x795),f45(x792,x793,x794,x795))
% 4.88/4.93 [80]~E(x801,x802)+E(f45(x803,x801,x804,x805),f45(x803,x802,x804,x805))
% 4.88/4.93 [81]~E(x811,x812)+E(f45(x813,x814,x811,x815),f45(x813,x814,x812,x815))
% 4.88/4.93 [82]~E(x821,x822)+E(f45(x823,x824,x825,x821),f45(x823,x824,x825,x822))
% 4.88/4.93 [83]~E(x831,x832)+E(f34(x831,x833),f34(x832,x833))
% 4.88/4.93 [84]~E(x841,x842)+E(f34(x843,x841),f34(x843,x842))
% 4.88/4.93 [85]~E(x851,x852)+E(f13(x851,x853,x854),f13(x852,x853,x854))
% 4.88/4.93 [86]~E(x861,x862)+E(f13(x863,x861,x864),f13(x863,x862,x864))
% 4.88/4.93 [87]~E(x871,x872)+E(f13(x873,x874,x871),f13(x873,x874,x872))
% 4.88/4.93 [88]~E(x881,x882)+E(f15(x881,x883),f15(x882,x883))
% 4.88/4.93 [89]~E(x891,x892)+E(f15(x893,x891),f15(x893,x892))
% 4.88/4.93 [90]~E(x901,x902)+E(f21(x901,x903,x904,x905,x906),f21(x902,x903,x904,x905,x906))
% 4.88/4.93 [91]~E(x911,x912)+E(f21(x913,x911,x914,x915,x916),f21(x913,x912,x914,x915,x916))
% 4.88/4.93 [92]~E(x921,x922)+E(f21(x923,x924,x921,x925,x926),f21(x923,x924,x922,x925,x926))
% 4.88/4.93 [93]~E(x931,x932)+E(f21(x933,x934,x935,x931,x936),f21(x933,x934,x935,x932,x936))
% 4.88/4.93 [94]~E(x941,x942)+E(f21(x943,x944,x945,x946,x941),f21(x943,x944,x945,x946,x942))
% 4.88/4.93 [95]~E(x951,x952)+E(f12(x951,x953,x954),f12(x952,x953,x954))
% 4.88/4.93 [96]~E(x961,x962)+E(f12(x963,x961,x964),f12(x963,x962,x964))
% 4.88/4.93 [97]~E(x971,x972)+E(f12(x973,x974,x971),f12(x973,x974,x972))
% 4.88/4.93 [98]~E(x981,x982)+E(f27(x981,x983),f27(x982,x983))
% 4.88/4.93 [99]~E(x991,x992)+E(f27(x993,x991),f27(x993,x992))
% 4.88/4.93 [100]~E(x1001,x1002)+E(f58(x1001,x1003),f58(x1002,x1003))
% 4.88/4.93 [101]~E(x1011,x1012)+E(f58(x1013,x1011),f58(x1013,x1012))
% 4.88/4.93 [102]~E(x1021,x1022)+E(f23(x1021,x1023,x1024,x1025),f23(x1022,x1023,x1024,x1025))
% 4.88/4.93 [103]~E(x1031,x1032)+E(f23(x1033,x1031,x1034,x1035),f23(x1033,x1032,x1034,x1035))
% 4.88/4.93 [104]~E(x1041,x1042)+E(f23(x1043,x1044,x1041,x1045),f23(x1043,x1044,x1042,x1045))
% 4.88/4.93 [105]~E(x1051,x1052)+E(f23(x1053,x1054,x1055,x1051),f23(x1053,x1054,x1055,x1052))
% 4.88/4.93 [106]~E(x1061,x1062)+E(f20(x1061,x1063,x1064,x1065),f20(x1062,x1063,x1064,x1065))
% 4.88/4.93 [107]~E(x1071,x1072)+E(f20(x1073,x1071,x1074,x1075),f20(x1073,x1072,x1074,x1075))
% 4.88/4.93 [108]~E(x1081,x1082)+E(f20(x1083,x1084,x1081,x1085),f20(x1083,x1084,x1082,x1085))
% 4.88/4.93 [109]~E(x1091,x1092)+E(f20(x1093,x1094,x1095,x1091),f20(x1093,x1094,x1095,x1092))
% 4.88/4.93 [110]~E(x1101,x1102)+E(f24(x1101,x1103),f24(x1102,x1103))
% 4.88/4.93 [111]~E(x1111,x1112)+E(f24(x1113,x1111),f24(x1113,x1112))
% 4.88/4.93 [112]~E(x1121,x1122)+E(f26(x1121,x1123),f26(x1122,x1123))
% 4.88/4.93 [113]~E(x1131,x1132)+E(f26(x1133,x1131),f26(x1133,x1132))
% 4.88/4.93 [114]~E(x1141,x1142)+E(f57(x1141,x1143),f57(x1142,x1143))
% 4.88/4.93 [115]~E(x1151,x1152)+E(f57(x1153,x1151),f57(x1153,x1152))
% 4.88/4.93 [116]~E(x1161,x1162)+E(f31(x1161,x1163,x1164),f31(x1162,x1163,x1164))
% 4.88/4.93 [117]~E(x1171,x1172)+E(f31(x1173,x1171,x1174),f31(x1173,x1172,x1174))
% 4.88/4.93 [118]~E(x1181,x1182)+E(f31(x1183,x1184,x1181),f31(x1183,x1184,x1182))
% 4.88/4.93 [119]~E(x1191,x1192)+E(f10(x1191,x1193,x1194),f10(x1192,x1193,x1194))
% 4.88/4.93 [120]~E(x1201,x1202)+E(f10(x1203,x1201,x1204),f10(x1203,x1202,x1204))
% 4.88/4.93 [121]~E(x1211,x1212)+E(f10(x1213,x1214,x1211),f10(x1213,x1214,x1212))
% 4.88/4.93 [122]~E(x1221,x1222)+E(f22(x1221,x1223,x1224,x1225,x1226),f22(x1222,x1223,x1224,x1225,x1226))
% 4.88/4.93 [123]~E(x1231,x1232)+E(f22(x1233,x1231,x1234,x1235,x1236),f22(x1233,x1232,x1234,x1235,x1236))
% 4.88/4.93 [124]~E(x1241,x1242)+E(f22(x1243,x1244,x1241,x1245,x1246),f22(x1243,x1244,x1242,x1245,x1246))
% 4.88/4.93 [125]~E(x1251,x1252)+E(f22(x1253,x1254,x1255,x1251,x1256),f22(x1253,x1254,x1255,x1252,x1256))
% 4.88/4.93 [126]~E(x1261,x1262)+E(f22(x1263,x1264,x1265,x1266,x1261),f22(x1263,x1264,x1265,x1266,x1262))
% 4.88/4.93 [127]~E(x1271,x1272)+E(f29(x1271,x1273,x1274,x1275),f29(x1272,x1273,x1274,x1275))
% 4.88/4.93 [128]~E(x1281,x1282)+E(f29(x1283,x1281,x1284,x1285),f29(x1283,x1282,x1284,x1285))
% 4.88/4.93 [129]~E(x1291,x1292)+E(f29(x1293,x1294,x1291,x1295),f29(x1293,x1294,x1292,x1295))
% 4.88/4.93 [130]~E(x1301,x1302)+E(f29(x1303,x1304,x1305,x1301),f29(x1303,x1304,x1305,x1302))
% 4.88/4.93 [131]~E(x1311,x1312)+E(f25(x1311,x1313),f25(x1312,x1313))
% 4.88/4.93 [132]~E(x1321,x1322)+E(f25(x1323,x1321),f25(x1323,x1322))
% 4.88/4.93 [133]~E(x1331,x1332)+E(f28(x1331,x1333),f28(x1332,x1333))
% 4.88/4.93 [134]~E(x1341,x1342)+E(f28(x1343,x1341),f28(x1343,x1342))
% 4.88/4.93 [135]~E(x1351,x1352)+E(f17(x1351,x1353,x1354,x1355),f17(x1352,x1353,x1354,x1355))
% 4.88/4.93 [136]~E(x1361,x1362)+E(f17(x1363,x1361,x1364,x1365),f17(x1363,x1362,x1364,x1365))
% 4.88/4.93 [137]~E(x1371,x1372)+E(f17(x1373,x1374,x1371,x1375),f17(x1373,x1374,x1372,x1375))
% 4.88/4.93 [138]~E(x1381,x1382)+E(f17(x1383,x1384,x1385,x1381),f17(x1383,x1384,x1385,x1382))
% 4.88/4.93 [139]~E(x1391,x1392)+E(f18(x1391,x1393,x1394,x1395,x1396),f18(x1392,x1393,x1394,x1395,x1396))
% 4.88/4.93 [140]~E(x1401,x1402)+E(f18(x1403,x1401,x1404,x1405,x1406),f18(x1403,x1402,x1404,x1405,x1406))
% 4.88/4.93 [141]~E(x1411,x1412)+E(f18(x1413,x1414,x1411,x1415,x1416),f18(x1413,x1414,x1412,x1415,x1416))
% 4.88/4.93 [142]~E(x1421,x1422)+E(f18(x1423,x1424,x1425,x1421,x1426),f18(x1423,x1424,x1425,x1422,x1426))
% 4.88/4.93 [143]~E(x1431,x1432)+E(f18(x1433,x1434,x1435,x1436,x1431),f18(x1433,x1434,x1435,x1436,x1432))
% 4.88/4.93 [144]~E(x1441,x1442)+E(f11(x1441,x1443,x1444),f11(x1442,x1443,x1444))
% 4.88/4.93 [145]~E(x1451,x1452)+E(f11(x1453,x1451,x1454),f11(x1453,x1452,x1454))
% 4.88/4.93 [146]~E(x1461,x1462)+E(f11(x1463,x1464,x1461),f11(x1463,x1464,x1462))
% 4.88/4.93 [147]~E(x1471,x1472)+E(f19(x1471,x1473,x1474,x1475),f19(x1472,x1473,x1474,x1475))
% 4.88/4.93 [148]~E(x1481,x1482)+E(f19(x1483,x1481,x1484,x1485),f19(x1483,x1482,x1484,x1485))
% 4.88/4.93 [149]~E(x1491,x1492)+E(f19(x1493,x1494,x1491,x1495),f19(x1493,x1494,x1492,x1495))
% 4.88/4.93 [150]~E(x1501,x1502)+E(f19(x1503,x1504,x1505,x1501),f19(x1503,x1504,x1505,x1502))
% 4.88/4.93 [151]~E(x1511,x1512)+E(f30(x1511,x1513,x1514,x1515),f30(x1512,x1513,x1514,x1515))
% 4.88/4.93 [152]~E(x1521,x1522)+E(f30(x1523,x1521,x1524,x1525),f30(x1523,x1522,x1524,x1525))
% 4.88/4.93 [153]~E(x1531,x1532)+E(f30(x1533,x1534,x1531,x1535),f30(x1533,x1534,x1532,x1535))
% 4.88/4.93 [154]~E(x1541,x1542)+E(f30(x1543,x1544,x1545,x1541),f30(x1543,x1544,x1545,x1542))
% 4.88/4.93 [155]~P1(x1551)+P1(x1552)+~E(x1551,x1552)
% 4.88/4.93 [156]~P23(x1561)+P23(x1562)+~E(x1561,x1562)
% 4.88/4.93 [157]~P2(x1571)+P2(x1572)+~E(x1571,x1572)
% 4.88/4.93 [158]~P25(x1581)+P25(x1582)+~E(x1581,x1582)
% 4.88/4.93 [159]~P3(x1591)+P3(x1592)+~E(x1591,x1592)
% 4.88/4.93 [160]~P24(x1601)+P24(x1602)+~E(x1601,x1602)
% 4.88/4.93 [161]~P28(x1611)+P28(x1612)+~E(x1611,x1612)
% 4.88/4.93 [162]~P29(x1621)+P29(x1622)+~E(x1621,x1622)
% 4.88/4.93 [163]~P4(x1631)+P4(x1632)+~E(x1631,x1632)
% 4.88/4.93 [164]P5(x1642,x1643)+~E(x1641,x1642)+~P5(x1641,x1643)
% 4.88/4.93 [165]P5(x1653,x1652)+~E(x1651,x1652)+~P5(x1653,x1651)
% 4.88/4.93 [166]P6(x1662,x1663)+~E(x1661,x1662)+~P6(x1661,x1663)
% 4.88/4.93 [167]P6(x1673,x1672)+~E(x1671,x1672)+~P6(x1673,x1671)
% 4.88/4.93 [168]P20(x1682,x1683)+~E(x1681,x1682)+~P20(x1681,x1683)
% 4.88/4.93 [169]P20(x1693,x1692)+~E(x1691,x1692)+~P20(x1693,x1691)
% 4.88/4.93 [170]P7(x1702,x1703)+~E(x1701,x1702)+~P7(x1701,x1703)
% 4.88/4.93 [171]P7(x1713,x1712)+~E(x1711,x1712)+~P7(x1713,x1711)
% 4.88/4.93 [172]P22(x1722,x1723,x1724)+~E(x1721,x1722)+~P22(x1721,x1723,x1724)
% 4.88/4.93 [173]P22(x1733,x1732,x1734)+~E(x1731,x1732)+~P22(x1733,x1731,x1734)
% 4.88/4.93 [174]P22(x1743,x1744,x1742)+~E(x1741,x1742)+~P22(x1743,x1744,x1741)
% 4.88/4.93 [175]P21(x1752,x1753,x1754)+~E(x1751,x1752)+~P21(x1751,x1753,x1754)
% 4.88/4.93 [176]P21(x1763,x1762,x1764)+~E(x1761,x1762)+~P21(x1763,x1761,x1764)
% 4.88/4.93 [177]P21(x1773,x1774,x1772)+~E(x1771,x1772)+~P21(x1773,x1774,x1771)
% 4.88/4.93 [178]~P31(x1781)+P31(x1782)+~E(x1781,x1782)
% 4.88/4.93 [179]P15(x1792,x1793,x1794)+~E(x1791,x1792)+~P15(x1791,x1793,x1794)
% 4.88/4.93 [180]P15(x1803,x1802,x1804)+~E(x1801,x1802)+~P15(x1803,x1801,x1804)
% 4.88/4.93 [181]P15(x1813,x1814,x1812)+~E(x1811,x1812)+~P15(x1813,x1814,x1811)
% 4.88/4.93 [182]P8(x1822,x1823,x1824)+~E(x1821,x1822)+~P8(x1821,x1823,x1824)
% 4.88/4.93 [183]P8(x1833,x1832,x1834)+~E(x1831,x1832)+~P8(x1833,x1831,x1834)
% 4.88/4.93 [184]P8(x1843,x1844,x1842)+~E(x1841,x1842)+~P8(x1843,x1844,x1841)
% 4.88/4.93 [185]P18(x1852,x1853,x1854)+~E(x1851,x1852)+~P18(x1851,x1853,x1854)
% 4.88/4.93 [186]P18(x1863,x1862,x1864)+~E(x1861,x1862)+~P18(x1863,x1861,x1864)
% 4.88/4.93 [187]P18(x1873,x1874,x1872)+~E(x1871,x1872)+~P18(x1873,x1874,x1871)
% 4.88/4.93 [188]P14(x1882,x1883,x1884)+~E(x1881,x1882)+~P14(x1881,x1883,x1884)
% 4.88/4.93 [189]P14(x1893,x1892,x1894)+~E(x1891,x1892)+~P14(x1893,x1891,x1894)
% 4.88/4.93 [190]P14(x1903,x1904,x1902)+~E(x1901,x1902)+~P14(x1903,x1904,x1901)
% 4.88/4.93 [191]P19(x1912,x1913)+~E(x1911,x1912)+~P19(x1911,x1913)
% 4.88/4.93 [192]P19(x1923,x1922)+~E(x1921,x1922)+~P19(x1923,x1921)
% 4.88/4.93 [193]P17(x1932,x1933,x1934)+~E(x1931,x1932)+~P17(x1931,x1933,x1934)
% 4.88/4.93 [194]P17(x1943,x1942,x1944)+~E(x1941,x1942)+~P17(x1943,x1941,x1944)
% 4.88/4.93 [195]P17(x1953,x1954,x1952)+~E(x1951,x1952)+~P17(x1953,x1954,x1951)
% 4.88/4.93 [196]P11(x1962,x1963,x1964)+~E(x1961,x1962)+~P11(x1961,x1963,x1964)
% 4.88/4.93 [197]P11(x1973,x1972,x1974)+~E(x1971,x1972)+~P11(x1973,x1971,x1974)
% 4.88/4.93 [198]P11(x1983,x1984,x1982)+~E(x1981,x1982)+~P11(x1983,x1984,x1981)
% 4.88/4.93 [199]P9(x1992,x1993,x1994,x1995)+~E(x1991,x1992)+~P9(x1991,x1993,x1994,x1995)
% 4.88/4.93 [200]P9(x2003,x2002,x2004,x2005)+~E(x2001,x2002)+~P9(x2003,x2001,x2004,x2005)
% 4.88/4.93 [201]P9(x2013,x2014,x2012,x2015)+~E(x2011,x2012)+~P9(x2013,x2014,x2011,x2015)
% 4.88/4.93 [202]P9(x2023,x2024,x2025,x2022)+~E(x2021,x2022)+~P9(x2023,x2024,x2025,x2021)
% 4.88/4.93 [203]P16(x2032,x2033)+~E(x2031,x2032)+~P16(x2031,x2033)
% 4.88/4.93 [204]P16(x2043,x2042)+~E(x2041,x2042)+~P16(x2043,x2041)
% 4.88/4.93 [205]~P30(x2051)+P30(x2052)+~E(x2051,x2052)
% 4.88/4.93 [206]P13(x2062,x2063,x2064,x2065,x2066)+~E(x2061,x2062)+~P13(x2061,x2063,x2064,x2065,x2066)
% 4.88/4.93 [207]P13(x2073,x2072,x2074,x2075,x2076)+~E(x2071,x2072)+~P13(x2073,x2071,x2074,x2075,x2076)
% 4.88/4.93 [208]P13(x2083,x2084,x2082,x2085,x2086)+~E(x2081,x2082)+~P13(x2083,x2084,x2081,x2085,x2086)
% 4.88/4.93 [209]P13(x2093,x2094,x2095,x2092,x2096)+~E(x2091,x2092)+~P13(x2093,x2094,x2095,x2091,x2096)
% 4.88/4.93 [210]P13(x2103,x2104,x2105,x2106,x2102)+~E(x2101,x2102)+~P13(x2103,x2104,x2105,x2106,x2101)
% 4.88/4.93 [211]P10(x2112,x2113,x2114,x2115,x2116,x2117)+~E(x2111,x2112)+~P10(x2111,x2113,x2114,x2115,x2116,x2117)
% 4.88/4.93 [212]P10(x2123,x2122,x2124,x2125,x2126,x2127)+~E(x2121,x2122)+~P10(x2123,x2121,x2124,x2125,x2126,x2127)
% 4.88/4.93 [213]P10(x2133,x2134,x2132,x2135,x2136,x2137)+~E(x2131,x2132)+~P10(x2133,x2134,x2131,x2135,x2136,x2137)
% 4.88/4.93 [214]P10(x2143,x2144,x2145,x2142,x2146,x2147)+~E(x2141,x2142)+~P10(x2143,x2144,x2145,x2141,x2146,x2147)
% 4.88/4.93 [215]P10(x2153,x2154,x2155,x2156,x2152,x2157)+~E(x2151,x2152)+~P10(x2153,x2154,x2155,x2156,x2151,x2157)
% 4.88/4.93 [216]P10(x2163,x2164,x2165,x2166,x2167,x2162)+~E(x2161,x2162)+~P10(x2163,x2164,x2165,x2166,x2167,x2161)
% 4.88/4.93 [217]P12(x2172,x2173)+~E(x2171,x2172)+~P12(x2171,x2173)
% 4.88/4.93 [218]P12(x2183,x2182)+~E(x2181,x2182)+~P12(x2183,x2181)
% 4.88/4.93 [219]~P26(x2191)+P26(x2192)+~E(x2191,x2192)
% 4.88/4.93 [220]~P27(x2201)+P27(x2202)+~E(x2201,x2202)
% 4.88/4.93
% 4.88/4.93 %-------------------------------------------
% 5.00/4.94 cnf(822,plain,
% 5.00/4.94 (E(x8221,f32(f39(x8221,x8222),x8222,x8222))),
% 5.00/4.94 inference(scs_inference,[],[249,2])).
% 5.00/4.94 cnf(831,plain,
% 5.00/4.94 (P22(x8311,f43(x8312,f43(x8311,x8313,x8314),x8314),x8314)),
% 5.00/4.94 inference(scs_inference,[],[269,249,279,380,385,2,415,429,421,597,553])).
% 5.00/4.94 cnf(832,plain,
% 5.00/4.94 (P21(x8321,f43(x8322,x8321,x8323),f52(x8323,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(836,plain,
% 5.00/4.94 (~P16(f43(f35(x8361,x8361,x8362,x8362),x8363,f53(x8362,x8362)),x8362)),
% 5.00/4.94 inference(scs_inference,[],[265,269,249,279,380,385,2,415,429,421,597,553,480,660])).
% 5.00/4.94 cnf(837,plain,
% 5.00/4.94 (P22(x8371,f43(x8371,x8372,x8373),x8373)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(840,plain,
% 5.00/4.94 (P22(x8401,f43(x8401,x8402,x8403),x8403)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(842,plain,
% 5.00/4.94 (~P12(f33(f52(f53(x8421,x8421),a1)),x8421)),
% 5.00/4.94 inference(scs_inference,[],[265,837,269,384,249,279,380,385,2,415,429,421,597,553,480,660,659,624])).
% 5.00/4.94 cnf(843,plain,
% 5.00/4.94 (~P22(x8431,f33(f52(x8432,a1)),x8432)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(846,plain,
% 5.00/4.94 (P21(x8461,f43(x8462,x8461,x8463),f52(x8463,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(849,plain,
% 5.00/4.94 (P21(x8491,f43(x8492,x8491,x8493),f52(x8493,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(852,plain,
% 5.00/4.94 (P21(f6(x8521,x8522,f52(x8523,a1)),x8521,f52(x8523,a1))),
% 5.00/4.94 inference(rename_variables,[],[276])).
% 5.00/4.94 cnf(855,plain,
% 5.00/4.94 (P21(f6(x8551,x8552,f52(x8553,a1)),x8551,f52(x8553,a1))),
% 5.00/4.94 inference(rename_variables,[],[276])).
% 5.00/4.94 cnf(858,plain,
% 5.00/4.94 (P21(x8581,f43(x8582,x8581,x8583),f52(x8583,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(869,plain,
% 5.00/4.94 (P21(x8691,f43(x8692,x8691,x8693),f52(x8693,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(876,plain,
% 5.00/4.94 (P22(f35(x8761,x8761,x8762,x8762),f3(x8762),f53(x8762,x8762))),
% 5.00/4.94 inference(rename_variables,[],[313])).
% 5.00/4.94 cnf(879,plain,
% 5.00/4.94 (~P22(x8791,f33(f52(x8792,a1)),x8792)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(882,plain,
% 5.00/4.94 (~P22(x8821,f33(f52(x8822,a1)),x8822)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(886,plain,
% 5.00/4.94 (P21(f6(f4(x8861,x8862,f52(x8863,a1)),x8861,f52(x8863,a1)),x8862,f52(x8863,a1))),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,244,269,832,846,849,858,384,843,879,249,279,313,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623])).
% 5.00/4.94 cnf(887,plain,
% 5.00/4.94 (P21(x8871,x8871,f52(x8872,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(890,plain,
% 5.00/4.94 (P21(x8901,x8901,f52(x8902,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(893,plain,
% 5.00/4.94 (P21(x8931,f43(x8932,x8931,x8933),f52(x8933,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(895,plain,
% 5.00/4.94 (~P22(x8951,f42(x8952,f33(f52(x8953,a1)),x8953,x8954),x8954)),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,244,887,269,832,846,849,858,869,384,843,879,882,249,279,313,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777])).
% 5.00/4.94 cnf(896,plain,
% 5.00/4.94 (~P22(x8961,f33(f52(x8962,a1)),x8962)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(898,plain,
% 5.00/4.94 (~P22(x8981,f42(x8982,f42(x8983,f33(f52(x8984,a1)),x8984,x8985),x8985,x8986),x8986)),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,244,887,269,832,846,849,858,869,384,843,879,882,249,279,313,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776])).
% 5.00/4.94 cnf(901,plain,
% 5.00/4.94 (P21(x9011,f43(x9012,x9011,x9013),f52(x9013,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(903,plain,
% 5.00/4.94 (P22(x9031,f48(f33(f52(f53(x9032,x9032),a1)),x9032),x9032)),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,244,887,269,832,846,849,858,869,893,384,843,879,882,896,249,279,313,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654])).
% 5.00/4.94 cnf(904,plain,
% 5.00/4.94 (~P22(x9041,f33(f52(x9042,a1)),x9042)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(906,plain,
% 5.00/4.94 (P22(x9061,f48(f9(x9062,x9061),a2),a2)),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,244,887,269,832,846,849,858,869,893,384,843,879,882,896,249,279,313,390,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653])).
% 5.00/4.94 cnf(907,plain,
% 5.00/4.94 (~P22(f35(x9071,x9072,a2,a2),f9(x9073,x9072),f53(a2,a2))),
% 5.00/4.94 inference(rename_variables,[],[390])).
% 5.00/4.94 cnf(910,plain,
% 5.00/4.94 (P21(x9101,x9101,f52(x9102,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(913,plain,
% 5.00/4.94 (P21(x9131,x9131,f52(x9132,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(916,plain,
% 5.00/4.94 (~P22(x9161,f33(f52(x9162,a1)),x9162)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(919,plain,
% 5.00/4.94 (~P22(f35(x9191,x9192,a2,a2),f8(x9193,x9191),f53(a2,a2))),
% 5.00/4.94 inference(rename_variables,[],[389])).
% 5.00/4.94 cnf(922,plain,
% 5.00/4.94 (~P22(x9221,f33(f52(x9222,a1)),x9222)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(924,plain,
% 5.00/4.94 (P22(f35(x9241,x9242,x9243,x9243),f45(f43(f35(f38(x9244,x9241),f38(x9244,x9242),x9245,x9245),x9246,f53(x9245,x9245)),x9244,x9245,x9243),f53(x9243,x9243))),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,840,244,887,890,910,269,832,846,849,858,869,893,384,843,879,882,896,904,916,249,279,313,390,389,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746])).
% 5.00/4.94 cnf(925,plain,
% 5.00/4.94 (P22(x9251,f43(x9251,x9252,x9253),x9253)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(928,plain,
% 5.00/4.94 (~P22(x9281,f33(f52(x9282,a1)),x9282)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(931,plain,
% 5.00/4.94 (~P22(f35(x9311,x9312,a2,a2),f9(x9313,x9312),f53(a2,a2))),
% 5.00/4.94 inference(rename_variables,[],[390])).
% 5.00/4.94 cnf(933,plain,
% 5.00/4.94 (~P22(x9331,f32(f41(f33(f52(f53(x9332,x9333),a1)),x9332,x9333),x9333,x9332),x9333)),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,840,244,887,890,910,269,832,846,849,858,869,893,384,843,879,882,896,904,916,922,928,249,279,313,390,907,389,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748])).
% 5.00/4.94 cnf(934,plain,
% 5.00/4.94 (~P22(x9341,f33(f52(x9342,a1)),x9342)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(941,plain,
% 5.00/4.94 (~P22(f35(x9411,x9412,x9413,x9413),f46(f33(f52(f53(x9413,x9413),a1)),f40(f33(f52(f53(x9413,x9413),a1)),x9413),x9413,x9413,x9413),f53(x9413,x9413))),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,840,244,887,890,910,269,832,846,849,858,869,893,384,843,879,882,896,904,916,922,928,934,249,279,313,390,907,931,389,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803])).
% 5.00/4.94 cnf(942,plain,
% 5.00/4.94 (~P22(x9421,f33(f52(x9422,a1)),x9422)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(944,plain,
% 5.00/4.94 (~P22(f35(x9441,x9442,a2,a2),f46(f8(x9443,x9441),f40(f8(x9443,x9441),a2),a2,a2,a2),f53(a2,a2))),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,840,244,887,890,910,269,832,846,849,858,869,893,384,843,879,882,896,904,916,922,928,934,249,279,313,390,907,931,389,919,276,852,855,380,385,281,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802])).
% 5.00/4.94 cnf(949,plain,
% 5.00/4.94 (P12(f3(f32(f39(x9491,x9492),x9492,x9492)),x9491)),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,840,244,887,890,910,269,832,846,849,858,869,893,384,843,879,882,896,904,916,922,928,934,249,279,313,390,907,931,389,919,276,852,855,380,385,281,335,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218])).
% 5.00/4.94 cnf(951,plain,
% 5.00/4.94 (P13(f51(a50),a54,a55,a2,f32(f39(a2,x9511),x9511,x9511))),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,840,244,887,890,910,269,832,846,849,858,869,893,384,843,879,882,896,904,916,922,928,934,249,279,313,390,907,931,389,919,276,852,855,380,385,281,335,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210])).
% 5.00/4.94 cnf(953,plain,
% 5.00/4.94 (~E(f51(a50),f38(a50,a56))),
% 5.00/4.94 inference(scs_inference,[],[387,311,265,837,840,244,887,890,910,269,832,846,849,858,869,893,384,843,879,882,896,904,916,922,928,934,249,279,313,390,907,931,389,919,276,852,855,380,385,281,335,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206])).
% 5.00/4.94 cnf(960,plain,
% 5.00/4.94 (~E(f4(x9601,f43(x9602,x9603,x9604),f52(x9604,a1)),f33(f52(x9604,a1)))),
% 5.00/4.94 inference(scs_inference,[],[387,311,241,247,265,837,840,244,887,890,910,269,832,846,849,858,869,893,252,384,843,879,882,896,904,916,922,928,934,249,279,313,390,907,931,389,919,274,276,852,855,380,385,283,281,335,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176])).
% 5.00/4.94 cnf(963,plain,
% 5.00/4.94 (P21(x9631,f43(x9632,x9631,x9633),f52(x9633,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(964,plain,
% 5.00/4.94 (E(f32(f39(x9641,x9642),x9642,x9642),x9641)),
% 5.00/4.94 inference(rename_variables,[],[249])).
% 5.00/4.94 cnf(967,plain,
% 5.00/4.94 (P22(x9671,f43(x9671,x9672,x9673),x9673)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(968,plain,
% 5.00/4.94 (~E(f35(a54,a55,a2,a2),f35(x9681,x9681,a2,a2))),
% 5.00/4.94 inference(scs_inference,[],[387,311,241,247,265,837,840,925,244,887,890,910,269,832,846,849,858,869,893,901,252,384,843,879,882,896,904,916,922,928,934,249,964,279,313,390,907,931,389,919,386,274,276,852,855,380,385,283,281,335,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172])).
% 5.00/4.94 cnf(973,plain,
% 5.00/4.94 (~E(f43(x9731,x9732,x9733),f32(f39(f33(f52(x9733,a1)),x9734),x9734,x9734))),
% 5.00/4.94 inference(scs_inference,[],[230,387,311,241,247,265,837,840,925,244,887,890,910,231,233,269,832,846,849,858,869,893,901,252,384,843,879,882,896,904,916,922,928,934,249,964,279,313,390,907,931,389,919,386,274,276,852,855,380,385,257,307,283,281,335,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3])).
% 5.00/4.94 cnf(974,plain,
% 5.00/4.94 (E(f32(f39(x9741,x9742),x9742,x9742),x9741)),
% 5.00/4.94 inference(rename_variables,[],[249])).
% 5.00/4.94 cnf(976,plain,
% 5.00/4.94 (P21(x9761,f43(x9762,x9761,x9763),f52(x9763,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(979,plain,
% 5.00/4.94 (P21(f33(f52(x9791,a1)),x9792,f52(x9791,a1))),
% 5.00/4.94 inference(rename_variables,[],[254])).
% 5.00/4.94 cnf(982,plain,
% 5.00/4.94 (P21(f33(f52(x9821,a1)),x9822,f52(x9821,a1))),
% 5.00/4.94 inference(rename_variables,[],[254])).
% 5.00/4.94 cnf(983,plain,
% 5.00/4.94 (P14(f3(x9831),x9831,x9831)),
% 5.00/4.94 inference(rename_variables,[],[241])).
% 5.00/4.94 cnf(986,plain,
% 5.00/4.94 (P21(x9861,f43(x9862,x9861,x9863),f52(x9863,a1))),
% 5.00/4.94 inference(rename_variables,[],[269])).
% 5.00/4.94 cnf(988,plain,
% 5.00/4.94 (~P26(f52(x9881,a1))),
% 5.00/4.94 inference(scs_inference,[],[230,387,311,241,247,265,837,840,925,244,887,890,910,231,233,269,832,846,849,858,869,893,901,963,976,252,384,843,879,882,896,904,916,922,928,934,249,964,279,313,390,907,931,389,919,386,274,276,852,855,254,979,380,381,385,257,307,283,281,335,332,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454])).
% 5.00/4.94 cnf(990,plain,
% 5.00/4.94 (~E(f33(f52(x9901,a1)),f43(x9902,x9903,x9901))),
% 5.00/4.94 inference(rename_variables,[],[381])).
% 5.00/4.94 cnf(998,plain,
% 5.00/4.94 (P21(x9981,x9981,f52(x9982,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(1001,plain,
% 5.00/4.94 (P21(f6(x10011,x10012,f52(x10013,a1)),x10011,f52(x10013,a1))),
% 5.00/4.94 inference(rename_variables,[],[276])).
% 5.00/4.94 cnf(1005,plain,
% 5.00/4.94 (P22(f35(x10051,x10051,x10052,x10052),f40(x10053,x10052),f53(x10052,x10052))),
% 5.00/4.94 inference(rename_variables,[],[315])).
% 5.00/4.94 cnf(1008,plain,
% 5.00/4.94 (~P22(x10081,f33(f52(x10082,a1)),x10082)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(1010,plain,
% 5.00/4.94 (~P8(f38(a50,a56),f43(f35(x10101,f35(a54,a55,a2,a2),f53(a2,a2),f53(a2,a2)),x10102,f53(f53(a2,a2),f53(a2,a2))),f53(a2,a2))),
% 5.00/4.94 inference(scs_inference,[],[230,387,311,241,247,265,837,840,925,967,244,887,890,910,913,231,233,269,832,846,849,858,869,893,901,963,976,252,384,843,879,882,896,904,916,922,928,934,942,249,964,279,313,315,390,907,931,389,919,386,274,276,852,855,254,979,380,381,385,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669])).
% 5.00/4.94 cnf(1011,plain,
% 5.00/4.94 (P22(x10111,f43(x10111,x10112,x10113),x10113)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(1014,plain,
% 5.00/4.94 (~P22(x10141,f33(f52(x10142,a1)),x10142)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(1016,plain,
% 5.00/4.94 (~P15(f38(a50,a56),f43(f35(x10161,f35(a54,a55,a2,a2),f53(a2,a2),f53(a2,a2)),x10162,f53(f53(a2,a2),f53(a2,a2))),f53(a2,a2))),
% 5.00/4.94 inference(scs_inference,[],[230,387,311,241,247,265,837,840,925,967,1011,244,887,890,910,913,231,233,269,832,846,849,858,869,893,901,963,976,252,384,843,879,882,896,904,916,922,928,934,942,1008,249,964,279,313,315,390,907,931,389,919,386,274,276,852,855,254,979,380,381,385,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667])).
% 5.00/4.94 cnf(1017,plain,
% 5.00/4.94 (P22(x10171,f43(x10171,x10172,x10173),x10173)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(1019,plain,
% 5.00/4.94 (~P8(f51(a50),f33(f52(f53(f53(a2,a2),f53(a2,a2)),a1)),f53(a2,a2))),
% 5.00/4.94 inference(scs_inference,[],[230,387,311,241,247,265,837,840,925,967,1011,244,887,890,910,913,231,233,269,832,846,849,858,869,893,901,963,976,252,384,843,879,882,896,904,916,922,928,934,942,1008,249,964,279,313,315,390,907,931,389,919,386,274,276,852,855,254,979,380,381,385,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681])).
% 5.00/4.94 cnf(1022,plain,
% 5.00/4.94 (~P22(x10221,f33(f52(x10222,a1)),x10222)),
% 5.00/4.94 inference(rename_variables,[],[384])).
% 5.00/4.94 cnf(1025,plain,
% 5.00/4.94 (P21(x10251,x10251,f52(x10252,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(1028,plain,
% 5.00/4.94 (P21(x10281,x10281,f52(x10282,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(1033,plain,
% 5.00/4.94 (P22(x10331,f43(x10331,x10332,x10333),x10333)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(1036,plain,
% 5.00/4.94 (P21(x10361,x10361,f52(x10362,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(1037,plain,
% 5.00/4.94 (P21(x10371,x10371,f52(x10372,a1))),
% 5.00/4.94 inference(rename_variables,[],[244])).
% 5.00/4.94 cnf(1040,plain,
% 5.00/4.94 (P22(f35(x10401,x10401,x10402,x10402),f40(x10403,x10402),f53(x10402,x10402))),
% 5.00/4.94 inference(rename_variables,[],[315])).
% 5.00/4.94 cnf(1043,plain,
% 5.00/4.94 (P22(x10431,f43(x10431,x10432,x10433),x10433)),
% 5.00/4.94 inference(rename_variables,[],[265])).
% 5.00/4.94 cnf(1044,plain,
% 5.00/4.94 (P22(f35(x10441,x10441,x10442,x10442),f40(x10443,x10442),f53(x10442,x10442))),
% 5.00/4.94 inference(rename_variables,[],[315])).
% 5.00/4.94 cnf(1050,plain,
% 5.00/4.94 (~P14(f40(f43(f35(f43(x10501,x10502,x10503),f33(f52(x10503,a1)),x10504,x10504),x10505,f53(x10504,x10504)),x10504),x10504,x10504)),
% 5.00/4.95 inference(scs_inference,[],[230,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738])).
% 5.00/4.95 cnf(1051,plain,
% 5.00/4.95 (P22(f35(x10511,x10511,x10512,x10512),f40(x10513,x10512),f53(x10512,x10512))),
% 5.00/4.95 inference(rename_variables,[],[315])).
% 5.00/4.95 cnf(1055,plain,
% 5.00/4.95 (~P22(f35(a55,a54,a2,a2),f51(a50),f53(a2,a2))),
% 5.00/4.95 inference(scs_inference,[],[230,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756])).
% 5.00/4.95 cnf(1078,plain,
% 5.00/4.95 (P29(f52(x10781,a1))),
% 5.00/4.95 inference(scs_inference,[],[230,222,224,226,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401])).
% 5.00/4.95 cnf(1080,plain,
% 5.00/4.95 (P28(f52(x10801,a1))),
% 5.00/4.95 inference(scs_inference,[],[230,222,224,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400])).
% 5.00/4.95 cnf(1082,plain,
% 5.00/4.95 (P24(f52(x10821,a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,224,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399])).
% 5.00/4.95 cnf(1084,plain,
% 5.00/4.95 (P3(f52(x10841,a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398])).
% 5.00/4.95 cnf(1090,plain,
% 5.00/4.95 (P23(f52(x10901,a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395])).
% 5.00/4.95 cnf(1232,plain,
% 5.00/4.95 (E(f39(x12321,f32(f39(x12322,x12323),x12323,x12323)),f39(x12321,x12322))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,244,887,890,910,913,998,1025,1028,231,233,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16])).
% 5.00/4.95 cnf(1267,plain,
% 5.00/4.95 (P22(f35(a54,a55,a2,a2),f4(f51(a50),x12671,f52(f53(a2,a2),a1)),f53(a2,a2))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,231,233,235,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512])).
% 5.00/4.95 cnf(1271,plain,
% 5.00/4.95 (P22(f35(x12711,x12711,x12712,x12712),f43(x12713,f3(x12712),f53(x12712,x12712)),f53(x12712,x12712))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,231,233,235,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492])).
% 5.00/4.95 cnf(1343,plain,
% 5.00/4.95 (~E(f4(x13431,f44(x13432,f43(x13433,x13434,x13435),x13435,x13436),f52(x13436,a1)),f33(f52(x13436,a1)))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461])).
% 5.00/4.95 cnf(1345,plain,
% 5.00/4.95 (~P20(f46(f43(f35(x13451,x13451,x13452,x13452),x13453,f53(x13452,x13452)),f43(f35(x13451,x13451,x13452,x13452),x13453,f53(x13452,x13452)),x13452,x13452,x13452),x13452)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782])).
% 5.00/4.95 cnf(1347,plain,
% 5.00/4.95 (~P20(f43(f35(x13471,x13472,x13473,x13473),f43(x13474,f43(f35(x13475,x13475,x13473,x13473),x13476,f53(x13473,x13473)),f53(x13473,x13473)),f53(x13473,x13473)),x13473)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734])).
% 5.00/4.95 cnf(1380,plain,
% 5.00/4.95 (P22(x13801,f43(x13801,x13802,x13803),x13803)),
% 5.00/4.95 inference(rename_variables,[],[265])).
% 5.00/4.95 cnf(1382,plain,
% 5.00/4.95 (P21(f46(f51(a50),f51(a50),a2,a2,a2),f51(a50),f52(f53(a2,a2),a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765])).
% 5.00/4.95 cnf(1408,plain,
% 5.00/4.95 (P22(a55,f32(f41(f51(a50),a2,a2),a2,a2),a2)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694])).
% 5.00/4.95 cnf(1422,plain,
% 5.00/4.95 (~P19(f43(f35(x14221,x14221,x14222,x14222),x14223,f53(x14222,x14222)),x14222)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770])).
% 5.00/4.95 cnf(1434,plain,
% 5.00/4.95 (~P13(f38(a50,a56),a54,f32(f39(a55,x14341),x14341,x14341),a2,a2)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208])).
% 5.00/4.95 cnf(1439,plain,
% 5.00/4.95 (~P14(f46(f40(f43(f35(f43(x14391,x14392,x14393),f33(f52(x14393,a1)),x14394,x14394),x14395,f53(x14394,x14394)),x14394),f3(x14396),x14397,x14396,x14396),x14394,x14394)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,280,266,339,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188])).
% 5.00/4.95 cnf(1449,plain,
% 5.00/4.95 (~E(a1,x14491)+P4(x14491)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163])).
% 5.00/4.95 cnf(1452,plain,
% 5.00/4.95 (~P21(f4(x14521,f43(f35(x14522,x14522,a55,a55),x14523,f53(a55,a55)),f52(f53(a55,a55),a1)),f33(f52(f53(a55,a55),a1)),f52(f53(a55,a55),a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524])).
% 5.00/4.95 cnf(1456,plain,
% 5.00/4.95 (~P21(f43(f35(x14561,x14561,a55,a55),x14562,f53(a55,a55)),f5(x14563,f33(f52(f53(a55,a55),a1)),f52(f53(a55,a55),a1)),f52(f53(a55,a55),a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520])).
% 5.00/4.95 cnf(1459,plain,
% 5.00/4.95 (~P22(x14591,f33(f52(x14592,a1)),x14592)),
% 5.00/4.95 inference(rename_variables,[],[384])).
% 5.00/4.95 cnf(1467,plain,
% 5.00/4.95 (~E(f43(x14671,f43(f33(f52(x14672,a1)),f33(f52(x14673,a1)),x14673),x14673),f43(f43(x14674,x14675,x14672),f43(f43(x14674,x14675,x14672),f33(f52(x14673,a1)),x14673),x14673))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,254,979,982,380,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649])).
% 5.00/4.95 cnf(1481,plain,
% 5.00/4.95 (~P21(f43(f35(x14811,x14811,a55,a55),x14812,f53(a55,a55)),f6(f33(f52(f53(a55,a55),a1)),x14813,f52(f53(a55,a55),a1)),f52(f53(a55,a55),a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534])).
% 5.00/4.95 cnf(1490,plain,
% 5.00/4.95 (~E(f43(x14901,x14902,x14903),f33(f52(x14903,a1)))),
% 5.00/4.95 inference(rename_variables,[],[380])).
% 5.00/4.95 cnf(1492,plain,
% 5.00/4.95 (P5(f6(f39(x14921,x14922),f3(x14922),f52(f53(x14922,x14922),a1)),x14922)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535])).
% 5.00/4.95 cnf(1498,plain,
% 5.00/4.95 (P21(f4(x14981,x14981,f52(x14982,a1)),x14981,f52(x14982,a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,244,887,890,910,913,998,1025,1028,1037,231,233,235,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601])).
% 5.00/4.95 cnf(1505,plain,
% 5.00/4.95 (P22(a55,f42(f51(a50),f43(a54,x15051,a2),a2,a2),a2)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,1380,244,887,890,910,913,998,1025,1028,1037,231,233,235,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,1490,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601,599,677,719])).
% 5.00/4.95 cnf(1506,plain,
% 5.00/4.95 (P22(x15061,f43(x15061,x15062,x15063),x15063)),
% 5.00/4.95 inference(rename_variables,[],[265])).
% 5.00/4.95 cnf(1514,plain,
% 5.00/4.95 (~P21(f36(f43(f35(x15141,x15141,a55,a55),x15142,f53(a55,a55)),f7(f51(a50),f52(f53(a2,a2),a1),f53(a55,a55)),f53(a55,a55),f53(a2,a2)),f36(f33(f52(f53(a55,a55),a1)),f7(f51(a50),f52(f53(a2,a2),a1),f53(a55,a55)),f53(a55,a55),f53(a2,a2)),f52(f53(f53(a55,a55),f53(a2,a2)),a1))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,1380,244,887,890,910,913,998,1025,1028,1037,231,233,235,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,1490,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601,599,677,719,627,626,625,773])).
% 5.00/4.95 cnf(1524,plain,
% 5.00/4.95 (~P6(f51(a50),a2)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,1380,1506,244,887,890,910,913,998,1025,1028,1037,231,233,235,236,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,1490,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601,599,677,719,627,626,625,773,741,771,666,796,717])).
% 5.00/4.95 cnf(1530,plain,
% 5.00/4.95 (P22(f35(x15301,x15301,x15302,x15302),f46(f43(f35(x15301,x15301,x15302,x15302),x15303,f53(x15302,x15302)),f40(f43(f35(x15301,x15301,x15302,x15302),x15303,f53(x15302,x15302)),x15302),x15302,x15302,x15302),f53(x15302,x15302))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,1380,1506,244,887,890,910,913,998,1025,1028,1037,231,233,235,236,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,1490,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601,599,677,719,627,626,625,773,741,771,666,796,717,780,806,790])).
% 5.00/4.95 cnf(1532,plain,
% 5.00/4.95 (P22(x15321,f43(x15321,x15322,x15323),x15323)),
% 5.00/4.95 inference(rename_variables,[],[265])).
% 5.00/4.95 cnf(1536,plain,
% 5.00/4.95 (P22(x15361,f43(x15361,x15362,x15363),x15363)),
% 5.00/4.95 inference(rename_variables,[],[265])).
% 5.00/4.95 cnf(1542,plain,
% 5.00/4.95 (~P8(f43(f43(f35(x15421,x15421,a55,a55),f43(f35(x15421,x15422,a55,a55),x15423,f53(a55,a55)),f53(a55,a55)),x15424,a2),f33(f52(f53(a2,a2),a1)),a2)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,1380,1506,1532,1536,244,887,890,910,913,998,1025,1028,1037,1036,231,233,235,236,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,1490,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601,599,677,719,627,626,625,773,741,771,666,796,717,780,806,790,792,552,549,781])).
% 5.00/4.95 cnf(1548,plain,
% 5.00/4.95 (~P19(f41(f43(f35(x15481,x15481,a55,a55),f43(f35(x15481,x15482,a55,a55),x15483,f53(a55,a55)),f53(a55,a55)),a55,a55),a55)),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,1380,1506,1532,1536,244,887,890,910,913,998,1025,1028,1037,1036,231,233,235,236,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,1490,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601,599,677,719,627,626,625,773,741,771,666,796,717,780,806,790,792,552,549,781,431,471,435])).
% 5.00/4.95 cnf(1554,plain,
% 5.00/4.95 (~P27(f32(f41(f39(f52(f53(a55,a55),a1),x15541),x15541,x15541),x15541,x15541))),
% 5.00/4.95 inference(scs_inference,[],[230,221,222,223,224,225,226,227,228,229,387,311,241,983,247,265,837,840,925,967,1011,1017,1033,1043,1380,1506,1532,1536,244,887,890,910,913,998,1025,1028,1037,1036,231,233,235,236,237,238,269,832,846,849,858,869,893,901,963,976,986,252,384,843,879,882,896,904,916,922,928,934,942,1008,1014,1022,1459,249,964,974,280,266,339,340,253,245,246,279,313,876,315,1005,1040,1044,1051,390,907,931,389,919,386,274,276,852,855,1001,254,979,982,380,1490,381,990,272,385,256,257,307,308,283,281,335,332,336,2,415,429,421,597,553,480,660,659,624,592,591,590,589,563,515,761,745,577,544,488,726,676,639,638,637,623,622,573,777,776,607,654,653,582,742,730,729,754,746,800,799,748,747,722,803,802,791,218,217,210,209,206,204,195,190,189,181,179,176,175,174,173,172,171,167,166,165,3,502,490,554,484,454,465,546,673,581,574,670,669,668,667,681,642,702,698,731,788,801,759,758,532,738,708,756,404,579,451,449,447,445,409,406,405,402,401,400,399,398,397,396,395,394,154,153,152,151,150,149,148,147,146,145,144,143,142,141,140,139,138,137,136,135,134,133,132,131,130,129,128,127,126,125,124,123,122,121,120,119,118,117,116,115,114,113,112,111,110,109,108,107,106,105,104,103,102,101,100,99,98,97,96,95,94,93,92,91,90,89,88,87,86,85,84,83,82,81,80,79,78,77,76,75,74,73,72,71,70,69,68,67,66,65,64,63,62,61,60,59,58,57,56,55,54,53,52,51,50,49,48,47,46,45,44,43,42,41,40,39,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,661,656,645,644,610,608,576,570,569,568,545,512,511,492,453,452,428,426,411,410,407,633,621,620,613,516,493,479,477,437,436,434,433,414,413,412,606,543,541,539,537,514,513,470,469,468,467,466,462,461,782,734,724,689,658,657,655,588,587,586,585,763,692,560,557,531,530,481,765,663,640,594,672,664,634,605,604,593,648,617,768,694,647,646,779,744,736,766,770,769,721,725,805,804,208,207,203,192,191,188,186,185,184,183,182,180,177,169,168,163,526,524,522,520,518,652,651,650,649,584,567,559,487,443,767,534,529,715,714,701,535,629,628,601,599,677,719,627,626,625,773,741,771,666,796,717,780,806,790,792,552,549,781,431,471,435,636,635,220])).
% 5.00/4.95 cnf(1587,plain,
% 5.00/4.95 (E(x15871,f32(f39(x15871,x15872),x15872,x15872))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1611,plain,
% 5.00/4.95 (E(f4(x16111,f33(f52(x16112,a1)),f52(x16112,a1)),x16111)),
% 5.00/4.95 inference(rename_variables,[],[255])).
% 5.00/4.95 cnf(1613,plain,
% 5.00/4.95 (E(x16131,f32(f39(x16131,x16132),x16132,x16132))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1615,plain,
% 5.00/4.95 (E(x16151,f32(f39(x16151,x16152),x16152,x16152))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1617,plain,
% 5.00/4.95 (E(x16171,f32(f39(x16171,x16172),x16172,x16172))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1619,plain,
% 5.00/4.95 (E(x16191,f32(f39(x16191,x16192),x16192,x16192))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1621,plain,
% 5.00/4.95 (E(x16211,f32(f39(x16211,x16212),x16212,x16212))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1623,plain,
% 5.00/4.95 (E(x16231,f32(f39(x16231,x16232),x16232,x16232))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1625,plain,
% 5.00/4.95 (E(x16251,f32(f39(x16251,x16252),x16252,x16252))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1627,plain,
% 5.00/4.95 (E(x16271,f32(f39(x16271,x16272),x16272,x16272))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1629,plain,
% 5.00/4.95 (E(x16291,f32(f39(x16291,x16292),x16292,x16292))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1633,plain,
% 5.00/4.95 (P23(f52(x16331,a1))),
% 5.00/4.95 inference(rename_variables,[],[1090])).
% 5.00/4.95 cnf(1636,plain,
% 5.00/4.95 (P21(f32(f5(x16361,x16362,f52(f53(x16363,x16364),a1)),x16363,x16364),f5(f32(x16361,x16363,x16364),f32(x16362,x16363,x16364),f52(x16363,a1)),f52(x16363,a1))),
% 5.00/4.95 inference(rename_variables,[],[342])).
% 5.00/4.95 cnf(1639,plain,
% 5.00/4.95 (P21(f32(f5(x16391,x16392,f52(f53(x16393,x16394),a1)),x16393,x16394),f5(f32(x16391,x16393,x16394),f32(x16392,x16393,x16394),f52(x16393,a1)),f52(x16393,a1))),
% 5.00/4.95 inference(rename_variables,[],[342])).
% 5.00/4.95 cnf(1642,plain,
% 5.00/4.95 (P21(f32(f5(x16421,x16422,f52(f53(x16423,x16424),a1)),x16423,x16424),f5(f32(x16421,x16423,x16424),f32(x16422,x16423,x16424),f52(x16423,a1)),f52(x16423,a1))),
% 5.00/4.95 inference(rename_variables,[],[342])).
% 5.00/4.95 cnf(1645,plain,
% 5.00/4.95 (P21(f32(f5(x16451,x16452,f52(f53(x16453,x16454),a1)),x16453,x16454),f5(f32(x16451,x16453,x16454),f32(x16452,x16453,x16454),f52(x16453,a1)),f52(x16453,a1))),
% 5.00/4.95 inference(rename_variables,[],[342])).
% 5.00/4.95 cnf(1653,plain,
% 5.00/4.95 (P21(f5(x16531,x16532,f52(x16533,a1)),x16531,f52(x16533,a1))),
% 5.00/4.95 inference(rename_variables,[],[278])).
% 5.00/4.95 cnf(1659,plain,
% 5.00/4.95 (P21(x16591,x16591,f52(x16592,a1))),
% 5.00/4.95 inference(rename_variables,[],[244])).
% 5.00/4.95 cnf(1662,plain,
% 5.00/4.95 (P22(x16621,f43(x16622,f43(x16621,x16623,x16624),x16624),x16624)),
% 5.00/4.95 inference(rename_variables,[],[831])).
% 5.00/4.95 cnf(1663,plain,
% 5.00/4.95 (P22(f35(x16631,x16631,x16632,x16632),f46(f43(f35(x16631,x16631,x16632,x16632),x16633,f53(x16632,x16632)),f40(f43(f35(x16631,x16631,x16632,x16632),x16633,f53(x16632,x16632)),x16632),x16632,x16632,x16632),f53(x16632,x16632))),
% 5.00/4.95 inference(rename_variables,[],[1530])).
% 5.00/4.95 cnf(1667,plain,
% 5.00/4.95 (P22(f35(x16671,x16671,x16672,x16672),f46(f43(f35(x16671,x16671,x16672,x16672),x16673,f53(x16672,x16672)),f40(f43(f35(x16671,x16671,x16672,x16672),x16673,f53(x16672,x16672)),x16672),x16672,x16672,x16672),f53(x16672,x16672))),
% 5.00/4.95 inference(rename_variables,[],[1530])).
% 5.00/4.95 cnf(1670,plain,
% 5.00/4.95 (P21(f32(f5(x16701,x16702,f52(f53(x16703,x16704),a1)),x16703,x16704),f5(f32(x16701,x16703,x16704),f32(x16702,x16703,x16704),f52(x16703,a1)),f52(x16703,a1))),
% 5.00/4.95 inference(rename_variables,[],[342])).
% 5.00/4.95 cnf(1671,plain,
% 5.00/4.95 (P21(f5(x16711,x16712,f52(x16713,a1)),x16711,f52(x16713,a1))),
% 5.00/4.95 inference(rename_variables,[],[278])).
% 5.00/4.95 cnf(1675,plain,
% 5.00/4.95 (P21(f5(x16751,x16752,f52(x16753,a1)),x16751,f52(x16753,a1))),
% 5.00/4.95 inference(rename_variables,[],[278])).
% 5.00/4.95 cnf(1680,plain,
% 5.00/4.95 (P22(f35(x16801,x16801,x16802,x16802),f3(x16802),f53(x16802,x16802))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1683,plain,
% 5.00/4.95 (P22(f35(x16831,x16831,x16832,x16832),f3(x16832),f53(x16832,x16832))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1686,plain,
% 5.00/4.95 (P22(f35(x16861,x16861,x16862,x16862),f3(x16862),f53(x16862,x16862))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1688,plain,
% 5.00/4.95 (~P31(f38(f33(f52(x16881,a1)),x16882))),
% 5.00/4.95 inference(rename_variables,[],[385])).
% 5.00/4.95 cnf(1691,plain,
% 5.00/4.95 (P22(f35(x16911,x16911,x16912,x16912),f3(x16912),f53(x16912,x16912))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1693,plain,
% 5.00/4.95 (~P31(f38(f33(f52(x16931,a1)),x16932))),
% 5.00/4.95 inference(rename_variables,[],[385])).
% 5.00/4.95 cnf(1696,plain,
% 5.00/4.95 (~P22(f35(x16961,x16961,a2,a2),f51(a50),f53(a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[386])).
% 5.00/4.95 cnf(1697,plain,
% 5.00/4.95 (~P22(f35(x16971,x16971,a2,a2),f38(a50,x16972),f53(a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[388])).
% 5.00/4.95 cnf(1700,plain,
% 5.00/4.95 (P22(f35(x17001,x17002,x17003,x17003),f45(f43(f35(f38(x17004,x17001),f38(x17004,x17002),x17005,x17005),x17006,f53(x17005,x17005)),x17004,x17005,x17003),f53(x17003,x17003))),
% 5.00/4.95 inference(rename_variables,[],[924])).
% 5.00/4.95 cnf(1703,plain,
% 5.00/4.95 (~E(f33(f52(x17031,a1)),f43(x17032,x17033,x17031))),
% 5.00/4.95 inference(rename_variables,[],[381])).
% 5.00/4.95 cnf(1707,plain,
% 5.00/4.95 (P22(f35(x17071,x17071,x17072,x17072),f3(x17072),f53(x17072,x17072))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1709,plain,
% 5.00/4.95 (~P31(f38(f33(f52(x17091,a1)),x17092))),
% 5.00/4.95 inference(rename_variables,[],[385])).
% 5.00/4.95 cnf(1712,plain,
% 5.00/4.95 (P22(f35(x17121,x17121,x17122,x17122),f3(x17122),f53(x17122,x17122))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1714,plain,
% 5.00/4.95 (~P31(f38(f33(f52(x17141,a1)),x17142))),
% 5.00/4.95 inference(rename_variables,[],[385])).
% 5.00/4.95 cnf(1720,plain,
% 5.00/4.95 (~P22(f35(x17201,x17202,a2,a2),f9(x17203,x17202),f53(a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[390])).
% 5.00/4.95 cnf(1721,plain,
% 5.00/4.95 (P21(f5(x17211,x17212,f52(x17213,a1)),x17211,f52(x17213,a1))),
% 5.00/4.95 inference(rename_variables,[],[278])).
% 5.00/4.95 cnf(1736,plain,
% 5.00/4.95 (P22(x17361,f48(f9(x17362,x17361),a2),a2)),
% 5.00/4.95 inference(rename_variables,[],[906])).
% 5.00/4.95 cnf(1782,plain,
% 5.00/4.95 (P23(f52(x17821,a1))),
% 5.00/4.95 inference(rename_variables,[],[1090])).
% 5.00/4.95 cnf(1785,plain,
% 5.00/4.95 (P23(f52(x17851,a1))),
% 5.00/4.95 inference(rename_variables,[],[1090])).
% 5.00/4.95 cnf(1788,plain,
% 5.00/4.95 (P24(f52(x17881,a1))),
% 5.00/4.95 inference(rename_variables,[],[1082])).
% 5.00/4.95 cnf(1795,plain,
% 5.00/4.95 (P24(f52(x17951,a1))),
% 5.00/4.95 inference(rename_variables,[],[1082])).
% 5.00/4.95 cnf(1801,plain,
% 5.00/4.95 (P22(f35(x18011,x18011,x18012,x18012),f3(x18012),f53(x18012,x18012))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1804,plain,
% 5.00/4.95 (P21(f5(x18041,x18042,f52(x18043,a1)),x18042,f52(x18043,a1))),
% 5.00/4.95 inference(rename_variables,[],[277])).
% 5.00/4.95 cnf(1807,plain,
% 5.00/4.95 (P21(f5(x18071,x18072,f52(x18073,a1)),x18072,f52(x18073,a1))),
% 5.00/4.95 inference(rename_variables,[],[277])).
% 5.00/4.95 cnf(1810,plain,
% 5.00/4.95 (P21(f5(x18101,x18102,f52(x18103,a1)),x18102,f52(x18103,a1))),
% 5.00/4.95 inference(rename_variables,[],[277])).
% 5.00/4.95 cnf(1815,plain,
% 5.00/4.95 (P21(f5(x18151,x18152,f52(x18153,a1)),x18152,f52(x18153,a1))),
% 5.00/4.95 inference(rename_variables,[],[277])).
% 5.00/4.95 cnf(1818,plain,
% 5.00/4.95 (P22(f35(x18181,x18181,x18182,x18182),f40(x18183,x18182),f53(x18182,x18182))),
% 5.00/4.95 inference(rename_variables,[],[315])).
% 5.00/4.95 cnf(1821,plain,
% 5.00/4.95 (P21(f32(f5(x18211,x18212,f52(f53(x18213,x18214),a1)),x18213,x18214),f5(f32(x18211,x18213,x18214),f32(x18212,x18213,x18214),f52(x18213,a1)),f52(x18213,a1))),
% 5.00/4.95 inference(rename_variables,[],[342])).
% 5.00/4.95 cnf(1824,plain,
% 5.00/4.95 (P22(f35(x18241,x18241,x18242,x18242),f3(x18242),f53(x18242,x18242))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1837,plain,
% 5.00/4.95 (~P22(f35(x18371,x18371,a2,a2),f38(a50,x18372),f53(a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[388])).
% 5.00/4.95 cnf(1838,plain,
% 5.00/4.95 (P22(f35(x18381,x18381,x18382,x18382),f3(x18382),f53(x18382,x18382))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1843,plain,
% 5.00/4.95 (~P22(f35(x18431,x18431,a2,a2),f38(a50,x18432),f53(a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[388])).
% 5.00/4.95 cnf(1846,plain,
% 5.00/4.95 (P22(f35(x18461,x18461,x18462,x18462),f3(x18462),f53(x18462,x18462))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1849,plain,
% 5.00/4.95 (P15(x18491,f39(x18491,x18492),x18492)),
% 5.00/4.95 inference(rename_variables,[],[247])).
% 5.00/4.95 cnf(1858,plain,
% 5.00/4.95 (P21(f5(x18581,x18582,f52(x18583,a1)),x18582,f52(x18583,a1))),
% 5.00/4.95 inference(rename_variables,[],[277])).
% 5.00/4.95 cnf(1867,plain,
% 5.00/4.95 (P22(f35(x18671,x18671,x18672,x18672),f40(x18673,x18672),f53(x18672,x18672))),
% 5.00/4.95 inference(rename_variables,[],[315])).
% 5.00/4.95 cnf(1870,plain,
% 5.00/4.95 (P21(f5(x18701,x18702,f52(x18703,a1)),x18702,f52(x18703,a1))),
% 5.00/4.95 inference(rename_variables,[],[277])).
% 5.00/4.95 cnf(1888,plain,
% 5.00/4.95 (E(f4(x18881,f33(f52(x18882,a1)),f52(x18882,a1)),x18881)),
% 5.00/4.95 inference(rename_variables,[],[255])).
% 5.00/4.95 cnf(1891,plain,
% 5.00/4.95 (E(x18911,f32(f39(x18911,x18912),x18912,x18912))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1895,plain,
% 5.00/4.95 (E(f4(x18951,f33(f52(x18952,a1)),f52(x18952,a1)),x18951)),
% 5.00/4.95 inference(rename_variables,[],[255])).
% 5.00/4.95 cnf(1897,plain,
% 5.00/4.95 (E(f43(x18971,f43(x18972,x18973,x18974),x18974),f43(x18972,f43(x18971,x18973,x18974),x18974))),
% 5.00/4.95 inference(rename_variables,[],[291])).
% 5.00/4.95 cnf(1900,plain,
% 5.00/4.95 (E(f43(x19001,f43(x19002,x19003,x19004),x19004),f43(x19002,f43(x19001,x19003,x19004),x19004))),
% 5.00/4.95 inference(rename_variables,[],[291])).
% 5.00/4.95 cnf(1905,plain,
% 5.00/4.95 (E(f6(x19051,f33(f52(x19052,a1)),f52(x19052,a1)),x19051)),
% 5.00/4.95 inference(rename_variables,[],[256])).
% 5.00/4.95 cnf(1907,plain,
% 5.00/4.95 (E(f43(x19071,f43(x19071,x19072,x19073),x19073),f43(x19071,x19072,x19073))),
% 5.00/4.95 inference(rename_variables,[],[273])).
% 5.00/4.95 cnf(1915,plain,
% 5.00/4.95 (~P22(f35(x19151,x19151,a2,a2),f38(a50,x19152),f53(a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[388])).
% 5.00/4.95 cnf(1916,plain,
% 5.00/4.95 (P22(f35(x19161,x19161,x19162,x19162),f3(x19162),f53(x19162,x19162))),
% 5.00/4.95 inference(rename_variables,[],[313])).
% 5.00/4.95 cnf(1937,plain,
% 5.00/4.95 (P22(f35(a55,a54,a2,a2),f4(f51(a50),f41(f51(a50),a2,a2),f52(f53(a2,a2),a1)),f53(a2,a2))),
% 5.00/4.95 inference(scs_inference,[],[230,822,1587,1613,1615,1617,1619,1621,1623,1625,1627,1629,1891,248,232,388,1697,1837,1843,342,1636,1639,1642,1645,1670,1821,367,277,1804,1807,1810,1815,1858,1870,278,1653,1671,1675,369,275,273,291,1897,255,1611,1888,1895,297,244,231,233,313,1680,1683,1686,1691,1707,1712,1801,1824,1838,1846,315,1818,390,1720,254,381,1703,256,1905,307,283,227,335,252,224,279,386,1696,385,1688,1693,1709,1714,228,229,241,247,1849,223,225,221,222,226,380,1530,1663,1667,1345,1554,1271,924,1700,1347,836,1422,949,831,1662,898,933,941,1019,903,1492,1481,1456,1267,886,1452,1343,1498,842,1010,1016,968,953,944,988,1078,1080,1082,1788,1795,1090,1633,1782,1382,1542,906,1736,1434,951,1524,1408,1505,1449,419,416,472,615,614,572,571,508,735,772,750,219,178,162,161,160,159,158,157,156,155,486,442,441,440,439,438,528,527,602,785,818,810,809,483,482,460,710,709,683,682,507,712,711,706,705,707,760,403,450,448,446,444,737,556,555,427,425,478,476,420,542,540,538,536,429,421,471,660,672,639,777,654,730,800,748,526,524,522,650,567,443,673,670,627,626,625,796,801,759,549,738,756,480,799,747,502,484,715,669,668,590,581,806,790,467,792,490,579,656,624,761,745,722,803,220,218,208,198,197,184,183,182,181,179,172,168,167,520,584,559,487,465,767,529,535,629,628,677,771,717])).
% 5.00/4.95 cnf(1959,plain,
% 5.00/4.95 (E(x19591,f32(f39(x19591,x19592),x19592,x19592))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(1965,plain,
% 5.00/4.95 (~P22(f35(x19651,x19651,a2,a2),f38(a50,x19652),f53(a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[388])).
% 5.00/4.95 cnf(1986,plain,
% 5.00/4.95 (E(f43(x19861,f43(x19862,x19863,x19864),x19864),f43(x19862,f43(x19861,x19863,x19864),x19864))),
% 5.00/4.95 inference(rename_variables,[],[291])).
% 5.00/4.95 cnf(1987,plain,
% 5.00/4.95 (~P19(f43(f35(x19871,x19871,x19872,x19872),x19873,f53(x19872,x19872)),x19872)),
% 5.00/4.95 inference(rename_variables,[],[1422])).
% 5.00/4.95 cnf(1989,plain,
% 5.00/4.95 (E(f46(x19891,f3(x19892),x19893,x19892,x19892),x19891)),
% 5.00/4.95 inference(rename_variables,[],[339])).
% 5.00/4.95 cnf(1991,plain,
% 5.00/4.95 (E(f4(x19911,f33(f52(x19912,a1)),f52(x19912,a1)),x19911)),
% 5.00/4.95 inference(rename_variables,[],[255])).
% 5.00/4.95 cnf(1997,plain,
% 5.00/4.95 (~E(f43(x19971,x19972,x19973),f32(f39(f33(f52(x19973,a1)),x19974),x19974,x19974))),
% 5.00/4.95 inference(rename_variables,[],[973])).
% 5.00/4.95 cnf(2000,plain,
% 5.00/4.95 (~P21(f43(f35(x20001,x20001,a55,a55),x20002,f53(a55,a55)),f6(f33(f52(f53(a55,a55),a1)),x20003,f52(f53(a55,a55),a1)),f52(f53(a55,a55),a1))),
% 5.00/4.95 inference(rename_variables,[],[1481])).
% 5.00/4.95 cnf(2007,plain,
% 5.00/4.95 (E(f46(x20071,f3(x20072),x20073,x20072,x20072),x20071)),
% 5.00/4.95 inference(rename_variables,[],[339])).
% 5.00/4.95 cnf(2010,plain,
% 5.00/4.95 (P17(f5(x20101,f33(f52(x20102,a1)),f52(x20102,a1)),f6(f39(x20103,x20102),f3(x20102),f52(f53(x20102,x20102),a1)),x20102)),
% 5.00/4.95 inference(scs_inference,[],[230,822,1587,1613,1615,1617,1619,1621,1623,1625,1627,1629,1891,1959,240,248,232,388,1697,1837,1843,1915,1965,342,1636,1639,1642,1645,1670,1821,367,277,1804,1807,1810,1815,1858,1870,278,1653,1671,1675,1721,369,275,273,291,1897,1900,255,1611,1888,1895,1991,297,244,1659,231,233,313,1680,1683,1686,1691,1707,1712,1801,1824,1838,1846,1916,315,1818,1867,390,1720,254,381,1703,256,1905,307,283,227,339,1989,335,252,224,279,386,1696,385,1688,1693,1709,1714,228,229,241,247,1849,223,225,221,222,226,380,1530,1663,1667,1345,1554,1271,924,1700,1347,836,1422,949,831,1662,1439,898,933,973,941,1467,895,1019,903,1492,1481,1456,1267,886,1452,1343,1498,842,1010,1016,1514,968,953,944,988,1078,1080,1082,1788,1795,1090,1633,1782,1785,1382,1542,906,1736,1434,951,1524,1408,1505,1449,419,416,472,615,614,572,571,508,735,772,750,219,178,162,161,160,159,158,157,156,155,486,442,441,440,439,438,528,527,602,785,818,810,809,483,482,460,710,709,683,682,507,712,711,706,705,707,760,403,450,448,446,444,737,556,555,427,425,478,476,420,542,540,538,536,429,421,471,660,672,639,777,654,730,800,748,526,524,522,650,567,443,673,670,627,626,625,796,801,759,549,738,756,480,799,747,502,484,715,669,668,590,581,806,790,467,792,490,579,656,624,761,745,722,803,220,218,208,198,197,184,183,182,181,179,172,168,167,520,584,559,487,465,767,529,535,629,628,677,771,717,780,788,552,553,776,653,729,802,186,554,546,714,642,601,599,731,73,592,591,589,563,191,175,174,164,667,433,574,217,210,209,207,206,196,193])).
% 5.00/4.95 cnf(2014,plain,
% 5.00/4.95 (E(f43(x20141,f43(x20142,x20143,x20144),x20144),f43(x20142,f43(x20141,x20143,x20144),x20144))),
% 5.00/4.95 inference(rename_variables,[],[291])).
% 5.00/4.95 cnf(2017,plain,
% 5.00/4.95 (E(f46(x20171,f3(x20172),x20173,x20172,x20172),x20171)),
% 5.00/4.95 inference(rename_variables,[],[339])).
% 5.00/4.95 cnf(2028,plain,
% 5.00/4.95 (E(x20281,f32(f39(x20281,x20282),x20282,x20282))),
% 5.00/4.95 inference(rename_variables,[],[822])).
% 5.00/4.95 cnf(2034,plain,
% 5.00/4.95 (~E(a55,a54)),
% 5.00/4.95 inference(scs_inference,[],[230,822,1587,1613,1615,1617,1619,1621,1623,1625,1627,1629,1891,1959,240,248,232,388,1697,1837,1843,1915,1965,342,1636,1639,1642,1645,1670,1821,367,277,1804,1807,1810,1815,1858,1870,278,1653,1671,1675,1721,369,275,273,1907,239,291,1897,1900,1986,2014,255,1611,1888,1895,1991,297,244,1659,231,233,313,1680,1683,1686,1691,1707,1712,1801,1824,1838,1846,1916,315,1818,1867,390,1720,254,381,1703,256,1905,307,283,227,339,1989,2007,2017,335,252,224,279,386,1696,385,1688,1693,1709,1714,228,229,241,247,1849,238,223,225,221,222,226,380,1530,1663,1667,1345,1554,1271,924,1700,1347,836,1422,949,1232,831,1662,1439,1050,898,933,973,1997,941,1467,895,1019,903,1492,1481,2000,1456,1267,886,1452,1343,1498,842,1010,1016,1514,968,953,944,988,1078,1080,1082,1788,1795,1090,1633,1782,1785,1382,1542,906,1736,1434,951,1524,1408,1505,1449,419,416,472,615,614,572,571,508,735,772,750,219,178,162,161,160,159,158,157,156,155,486,442,441,440,439,438,528,527,602,785,818,810,809,483,482,460,710,709,683,682,507,712,711,706,705,707,760,403,450,448,446,444,737,556,555,427,425,478,476,420,542,540,538,536,429,421,471,660,672,639,777,654,730,800,748,526,524,522,650,567,443,673,670,627,626,625,796,801,759,549,738,756,480,799,747,502,484,715,669,668,590,581,806,790,467,792,490,579,656,624,761,745,722,803,220,218,208,198,197,184,183,182,181,179,172,168,167,520,584,559,487,465,767,529,535,629,628,677,771,717,780,788,552,553,776,653,729,802,186,554,546,714,642,601,599,731,73,592,591,589,563,191,175,174,164,667,433,574,217,210,209,207,206,196,193,188,180,177,170,169,166,3,203,185,173,2,22])).
% 5.00/4.95 cnf(2035,plain,
% 5.00/4.95 (~E(f35(a54,a55,a2,a2),f35(x20351,x20351,a2,a2))),
% 5.00/4.95 inference(rename_variables,[],[968])).
% 5.00/4.95 cnf(2056,plain,
% 5.00/4.95 (~E(f4(x20561,f43(x20562,x20563,x20564),f52(x20564,a1)),f33(f52(x20564,a1)))),
% 5.00/4.95 inference(rename_variables,[],[960])).
% 5.00/4.95 cnf(2061,plain,
% 5.00/4.95 (~P22(f35(a55,a54,a2,a2),f38(a50,a56),f53(a2,a2))),
% 5.00/4.95 inference(scs_inference,[],[230,822,1587,1613,1615,1617,1619,1621,1623,1625,1627,1629,1891,1959,2028,240,248,232,388,1697,1837,1843,1915,1965,342,1636,1639,1642,1645,1670,1821,367,277,1804,1807,1810,1815,1858,1870,278,1653,1671,1675,1721,369,275,273,1907,239,291,1897,1900,1986,2014,255,1611,1888,1895,1991,290,297,244,1659,231,233,313,1680,1683,1686,1691,1707,1712,1801,1824,1838,1846,1916,315,1818,1867,390,1720,254,381,1703,256,1905,307,283,227,339,1989,2007,2017,335,252,224,279,386,1696,385,1688,1693,1709,1714,228,229,241,247,1849,238,223,225,221,222,226,380,1530,1663,1667,1345,1554,1271,924,1700,1347,836,1422,1987,949,1232,831,1662,1439,1050,898,933,973,1997,941,1467,895,1019,903,1492,1481,2000,1456,1267,886,1452,960,2056,1343,1498,842,1010,1016,1514,968,2035,953,944,1055,988,1078,1080,1082,1788,1795,1084,1090,1633,1782,1785,1382,1542,906,1736,1434,1548,951,1524,1408,1505,1449,419,416,472,615,614,572,571,508,735,772,750,219,178,162,161,160,159,158,157,156,155,486,442,441,440,439,438,528,527,602,785,818,810,809,483,482,460,710,709,683,682,507,712,711,706,705,707,760,403,450,448,446,444,737,556,555,427,425,478,476,420,542,540,538,536,429,421,471,660,672,639,777,654,730,800,748,526,524,522,650,567,443,673,670,627,626,625,796,801,759,549,738,756,480,799,747,502,484,715,669,668,590,581,806,790,467,792,490,579,656,624,761,745,722,803,220,218,208,198,197,184,183,182,181,179,172,168,167,520,584,559,487,465,767,529,535,629,628,677,771,717,780,788,552,553,776,653,729,802,186,554,546,714,642,601,599,731,73,592,591,589,563,191,175,174,164,667,433,574,217,210,209,207,206,196,193,188,180,177,170,169,166,3,203,185,173,2,22,21,192,176,393,565,564,789,797,485,424,423,713])).
% 5.00/4.95 cnf(2169,plain,
% 5.00/4.95 ($false),
% 5.00/4.95 inference(scs_inference,[],[269,387,2061,2010,1937,2034,1267,733,575,494,486,687]),
% 5.00/4.95 ['proof']).
% 5.00/4.95 % SZS output end Proof
% 5.00/4.95 % Total time :4.070000s
%------------------------------------------------------------------------------