TSTP Solution File: SCT007-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT007-1 : 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 : n010.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 14:09:50 EDT 2023
% Result : Unsatisfiable 0.57s 0.89s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SCT007-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 15:41:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.54/0.84 %-------------------------------------------
% 0.54/0.84 % File :CSE---1.6
% 0.54/0.84 % Problem :theBenchmark
% 0.54/0.84 % Transform :cnf
% 0.54/0.84 % Format :tptp:raw
% 0.54/0.84 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.84
% 0.54/0.84 % Result :Theorem 0.030000s
% 0.54/0.84 % Output :CNFRefutation 0.030000s
% 0.54/0.84 %-------------------------------------------
% 0.54/0.85 %------------------------------------------------------------------------------
% 0.54/0.85 % File : SCT007-1 : TPTP v8.1.2. Released v4.1.0.
% 0.54/0.85 % Domain : Social Choice Theory
% 0.54/0.85 % Problem : Arrow Order 058_1
% 0.54/0.85 % Version : Especial.
% 0.54/0.85 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 0.54/0.85 % formalization is based on utility functions, the other one on
% 0.54/0.85 % strict partial orders.
% 0.54/0.85
% 0.54/0.85 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 0.54/0.85 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.54/0.85 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.54/0.85 % Source : [Nip10]
% 0.54/0.85 % Names : Arrow_Order-058_1 [Nip10]
% 0.54/0.85
% 0.54/0.85 % Status : Unsatisfiable
% 0.54/0.85 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.40 v5.3.0, 0.39 v5.2.0, 0.31 v5.1.0, 0.35 v5.0.0, 0.29 v4.1.0
% 0.54/0.85 % Syntax : Number of clauses : 605 ( 209 unt; 9 nHn; 285 RR)
% 0.54/0.85 % Number of literals : 1184 ( 317 equ; 582 neg)
% 0.54/0.85 % Maximal clause size : 5 ( 1 avg)
% 0.54/0.85 % Maximal term depth : 6 ( 1 avg)
% 0.54/0.85 % Number of predicates : 32 ( 31 usr; 0 prp; 1-9 aty)
% 0.54/0.85 % Number of functors : 51 ( 51 usr; 8 con; 0-5 aty)
% 0.54/0.85 % Number of variables : 1926 ( 226 sgn)
% 0.54/0.85 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.54/0.85
% 0.54/0.85 % Comments :
% 0.54/0.85 %------------------------------------------------------------------------------
% 0.54/0.85 cnf(cls_r__comp__rtrancl__eq_0,axiom,
% 0.54/0.85 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) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_antisym__reflcl_0,axiom,
% 0.54/0.85 ( c_Relation_Oantisym(V_r,T_a)
% 0.54/0.85 | ~ 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) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_antisym__reflcl_1,axiom,
% 0.54/0.85 ( 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)
% 0.54/0.85 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Times__eq__cancel2_0,axiom,
% 0.54/0.85 ( 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)
% 0.54/0.85 | ~ hBOOL(c_in(V_x,V_C,T_a))
% 0.54/0.85 | V_A = V_B ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_bot__fun__eq_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Obot(T_b)
% 0.54/0.85 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ComplD_0,axiom,
% 0.54/0.85 ( ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.54/0.85 | ~ hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_ComplI_0,axiom,
% 0.54/0.85 ( hBOOL(c_in(V_c,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a))
% 0.54/0.85 | hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inf__compl__bot_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_compl__inf__bot_0,axiom,
% 0.54/0.85 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.54/0.85 | c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__disjoint_0,axiom,
% 0.54/0.85 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(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)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__disjoint2_0,axiom,
% 0.54/0.85 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,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)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_rtrancl__reflcl_0,axiom,
% 0.54/0.85 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) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_sym__inv__image_0,axiom,
% 0.54/0.85 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 0.54/0.85 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_rtrancl__empty_0,axiom,
% 0.54/0.85 c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Relation_OId(T_a) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_rtrancl__Un__subset_0,axiom,
% 0.54/0.85 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)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_empty__is__image_0,axiom,
% 0.54/0.85 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.54/0.85 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_rtrancl__trancl__absorb_0,axiom,
% 0.54/0.85 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_reflcl__trancl_0,axiom,
% 0.54/0.85 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) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_neg__le__iff__le_0,axiom,
% 0.54/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.85 | c_lessequals(V_a,V_b,T_a)
% 0.54/0.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_le__imp__neg__le_0,axiom,
% 0.54/0.85 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.54/0.85 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.54/0.85 | ~ c_lessequals(V_a,V_b,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__anti__mono_0,axiom,
% 0.54/0.85 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.54/0.85 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__subset__Compl__iff_0,axiom,
% 0.54/0.85 ( c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.54/0.85 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__subset__Compl__iff_1,axiom,
% 0.54/0.85 ( c_lessequals(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool))
% 0.54/0.85 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_image__vimage__subset_0,axiom,
% 0.54/0.85 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_trans__rtrancl_0,axiom,
% 0.54/0.85 hBOOL(c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_rel__comp__empty1_0,axiom,
% 0.54/0.85 c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_rel__comp__empty2_0,axiom,
% 0.54/0.85 c_Relation_Orel__comp(V_R,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_inj__vimage__image__eq_0,axiom,
% 0.54/0.85 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A
% 0.54/0.85 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Collect__def_0,axiom,
% 0.54/0.85 c_Collect(V_P,T_a) = V_P ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_empty__subsetI_0,axiom,
% 0.54/0.85 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_less__by__empty_0,axiom,
% 0.54/0.85 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_bot__least_0,axiom,
% 0.54/0.85 ( ~ class_Orderings_Obot(T_a)
% 0.54/0.85 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_trans__converse_0,axiom,
% 0.54/0.85 ( hBOOL(c_Relation_Otrans(V_r,T_a))
% 0.54/0.85 | ~ hBOOL(c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_trans__converse_1,axiom,
% 0.54/0.85 ( hBOOL(c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a))
% 0.54/0.85 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.54/0.85
% 0.54/0.85 cnf(cls_Compl__Diff__eq_0,axiom,
% 0.54/0.86 c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Image__empty_0,axiom,
% 0.54/0.86 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)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_sym__trans__comp__subset_0,axiom,
% 0.54/0.86 ( 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))
% 0.54/0.86 | ~ hBOOL(c_Relation_Otrans(V_r,T_a))
% 0.54/0.86 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_O__assoc_0,axiom,
% 0.54/0.86 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) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_subset__Compl__self__eq_1,axiom,
% 0.54/0.86 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_sym__Un_0,axiom,
% 0.54/0.86 ( 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)
% 0.54/0.86 | ~ c_Relation_Osym(V_s,T_a)
% 0.54/0.86 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inj__on__Un__image__eq__iff_0,axiom,
% 0.54/0.86 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.54/0.86 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.54/0.86 | V_A = V_B ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_INT__subset__iff_0,axiom,
% 0.54/0.86 ( c_lessequals(V_B,hAPP(V_A,V_i),tc_fun(T_a,tc_bool))
% 0.54/0.86 | ~ hBOOL(c_in(V_i,V_I,T_b))
% 0.54/0.86 | ~ c_lessequals(V_B,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_rtrancl__mono_0,axiom,
% 0.54/0.86 ( 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))
% 0.54/0.86 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Domain__Int__subset_0,axiom,
% 0.54/0.86 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)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inf__bot__right_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.86 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_inf__bot__left_0,axiom,
% 0.54/0.86 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.54/0.86 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Int__empty__left_0,axiom,
% 0.54/0.86 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)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_Int__empty__right_0,axiom,
% 0.54/0.86 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)) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_converse__inv__image_0,axiom,
% 0.54/0.86 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) ).
% 0.54/0.86
% 0.54/0.86 cnf(cls_trancl__converse_0,axiom,
% 0.54/0.86 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) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_INT__D_0,axiom,
% 0.56/0.86 ( hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a))
% 0.56/0.86 | ~ hBOOL(c_in(V_a,V_A,T_b))
% 0.56/0.86 | ~ hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_INT__E_0,axiom,
% 0.56/0.86 ( ~ hBOOL(c_in(V_a,V_A,T_b))
% 0.56/0.86 | hBOOL(c_in(V_b,hAPP(V_B,V_a),T_a))
% 0.56/0.86 | ~ hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_INT__iff_0,axiom,
% 0.56/0.86 ( hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a))
% 0.56/0.86 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.56/0.86 | ~ hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_finite_OemptyI_0,axiom,
% 0.56/0.86 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_trans__inv__image_0,axiom,
% 0.56/0.86 ( hBOOL(c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b))
% 0.56/0.86 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_INT__extend__simps_I1_J_0,axiom,
% 0.56/0.86 c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_INT__extend__simps_I2_J_0,axiom,
% 0.56/0.86 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_image__Int_0,axiom,
% 0.56/0.86 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.56/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Sup__empty_0,axiom,
% 0.56/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.56/0.86 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_image__Int__subset_0,axiom,
% 0.56/0.86 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)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_finite__Un_2,axiom,
% 0.56/0.86 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.56/0.86 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.56/0.86 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_finite__UnI_0,axiom,
% 0.56/0.86 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.56/0.86 | ~ c_Finite__Set_Ofinite(V_G,T_a)
% 0.56/0.86 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Image__Int__subset_0,axiom,
% 0.56/0.86 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)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.56/0.86 ( 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))
% 0.56/0.86 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.56/0.86 ( 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))
% 0.56/0.86 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_finite__INT_0,axiom,
% 0.56/0.86 ( c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),T_b)
% 0.56/0.86 | ~ c_Finite__Set_Ofinite(hAPP(V_A,V_x),T_b)
% 0.56/0.86 | ~ hBOOL(c_in(V_x,V_I,T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_inj__image__mem__iff_0,axiom,
% 0.56/0.86 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.56/0.86 | ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 0.56/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_inj__image__mem__iff_1,axiom,
% 0.56/0.86 ( hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 0.56/0.86 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.56/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Range__converse_0,axiom,
% 0.56/0.86 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) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_partial__order__on__empty_0,axiom,
% 0.56/0.86 hBOOL(c_Order__Relation_Opartial__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Times__subset__cancel2_1,axiom,
% 0.56/0.86 ( 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))
% 0.56/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 0.56/0.86 | ~ hBOOL(c_in(V_x,V_C,T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Times__subset__cancel2_0,axiom,
% 0.56/0.86 ( c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 0.56/0.86 | ~ 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))
% 0.56/0.86 | ~ hBOOL(c_in(V_x,V_C,T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_inj__image__subset__iff_1,axiom,
% 0.56/0.86 ( 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))
% 0.56/0.86 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.56/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_inj__image__subset__iff_0,axiom,
% 0.56/0.86 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.56/0.86 | ~ 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))
% 0.56/0.86 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_inj__on__image__Int_0,axiom,
% 0.56/0.86 ( c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.56/0.86 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.56/0.86 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.56/0.86 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_trancl__reflcl_0,axiom,
% 0.56/0.86 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) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_finite__surj_0,axiom,
% 0.56/0.86 ( c_Finite__Set_Ofinite(V_B,T_b)
% 0.56/0.86 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.56/0.86 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_image__subset__iff_0,axiom,
% 0.56/0.86 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 0.56/0.86 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.56/0.86 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_trancl__Int__subset_0,axiom,
% 0.56/0.86 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.56/0.86 | ~ 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))
% 0.56/0.86 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Sigma__Int__distrib1_0,axiom,
% 0.56/0.86 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)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_converse__rel__comp_0,axiom,
% 0.56/0.86 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) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Diff__triv_0,axiom,
% 0.56/0.86 ( 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))
% 0.56/0.86 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_sup__fun__eq_0,axiom,
% 0.56/0.86 ( ~ class_Lattices_Olattice(T_b)
% 0.56/0.86 | hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Oupper__semilattice__class_Osup(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.56/0.86 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)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Int__Un__distrib_0,axiom,
% 0.56/0.86 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)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.56/0.86 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.56/0.86 | 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) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.56/0.86 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.56/0.86 | 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) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Int__Collect_1,axiom,
% 0.56/0.86 ( hBOOL(hAPP(V_P,V_x))
% 0.56/0.86 | ~ hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_INT__constant_1,axiom,
% 0.56/0.86 ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c
% 0.56/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_INF__const_0,axiom,
% 0.56/0.86 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.56/0.86 | c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M
% 0.56/0.86 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_linear__order__on__def_2,axiom,
% 0.56/0.86 ( hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a))
% 0.56/0.86 | ~ hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))
% 0.56/0.86 | ~ hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_finite__vimageI_0,axiom,
% 0.56/0.86 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b)
% 0.56/0.86 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)
% 0.56/0.86 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_refl__on__def_0,axiom,
% 0.56/0.86 ( 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))
% 0.56/0.86 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Un__absorb_0,axiom,
% 0.56/0.86 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_sup__idem_0,axiom,
% 0.56/0.86 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.56/0.86 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_rel__comp__mono_0,axiom,
% 0.56/0.86 ( 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))
% 0.56/0.86 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))
% 0.56/0.86 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_trans__trancl_0,axiom,
% 0.56/0.86 hBOOL(c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Un__Image_0,axiom,
% 0.56/0.86 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)) ).
% 0.56/0.86
% 0.56/0.86 cnf(cls_Image__Un_0,axiom,
% 0.56/0.86 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)) ).
% 0.56/0.86
% 0.57/0.86 cnf(cls_Nitpick_Ortrancl__def_0,axiom,
% 0.57/0.86 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)) ).
% 0.57/0.86
% 0.57/0.86 cnf(cls_trancl__range_0,axiom,
% 0.57/0.86 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ).
% 0.57/0.86
% 0.57/0.87 cnf(cls_Domain__empty_0,axiom,
% 0.57/0.87 c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Image__subset__eq_1,axiom,
% 0.57/0.87 ( c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.57/0.87 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Image__subset__eq_0,axiom,
% 0.57/0.87 ( c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(c_Relation_OImage(c_Relation_Oconverse(V_r,T_b,T_a),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.57/0.87 | ~ c_lessequals(c_Relation_OImage(V_r,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_mem__def_1,axiom,
% 0.57/0.87 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.57/0.87 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_mem__def_0,axiom,
% 0.57/0.87 ( hBOOL(hAPP(V_S,V_x))
% 0.57/0.87 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sym__conv__converse__eq_1,axiom,
% 0.57/0.87 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r
% 0.57/0.87 | c_Relation_Osym(V_r,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sym__conv__converse__eq_0,axiom,
% 0.57/0.87 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r
% 0.57/0.87 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_COMBK__def_0,axiom,
% 0.57/0.87 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inj__on__Un_3,axiom,
% 0.57/0.87 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.57/0.87 | c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inj__on__Un_2,axiom,
% 0.57/0.87 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b),tc_fun(T_b,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool))
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_rangeI_0,axiom,
% 0.57/0.87 hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Image__subset_0,axiom,
% 0.57/0.87 ( c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.57/0.87 | ~ 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)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_funpow__swap1_0,axiom,
% 0.57/0.87 hAPP(V_f,hAPP(c_Nat_Ocompow(V_n,V_f,T_a,T_a),V_x)) = hAPP(c_Nat_Ocompow(V_n,V_f,T_a,T_a),hAPP(V_f,V_x)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_image__empty_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Diff__eq_0,axiom,
% 0.57/0.87 c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_diff__eq_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_image__diff__subset_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inj__on__empty_0,axiom,
% 0.57/0.87 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Un__left__commute_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Un__assoc_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup__assoc_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup__left__commute_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_IntE_1,axiom,
% 0.57/0.87 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_IntE_0,axiom,
% 0.57/0.87 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_rtrancl__reflcl__absorb_0,axiom,
% 0.57/0.87 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) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inj__on__contraD_0,axiom,
% 0.57/0.87 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.57/0.87 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.87 | V_x = V_y
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inj__on__iff_0,axiom,
% 0.57/0.87 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.57/0.87 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.57/0.87 | V_x = V_y ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inj__on__def_0,axiom,
% 0.57/0.87 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa)
% 0.57/0.87 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.57/0.87 | V_x = V_xa ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inj__onD_0,axiom,
% 0.57/0.87 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.57/0.87 | V_x = V_y
% 0.57/0.87 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Int__absorb2_0,axiom,
% 0.57/0.87 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.57/0.87 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Int__absorb1_0,axiom,
% 0.57/0.87 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.57/0.87 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_le__iff__inf_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.57/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_le__iff__inf_1,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.57/0.87 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__absorb2_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.57/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Un__subset__iff_2,axiom,
% 0.57/0.87 ( 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))
% 0.57/0.87 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.87 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Un__upper2_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Un__upper1_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Un__least_0,axiom,
% 0.57/0.87 ( 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))
% 0.57/0.87 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.87 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_le__supI_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.57/0.87 | ~ c_lessequals(V_b,V_x,T_a)
% 0.57/0.87 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup__ge1_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.87 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup__ge2_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.87 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup__least_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.57/0.87 | ~ c_lessequals(V_z,V_x,T_a)
% 0.57/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_le__sup__iff_2,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.87 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.57/0.87 | ~ c_lessequals(V_y,V_z,T_a)
% 0.57/0.87 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Int__commute_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__commute_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Diff__partition_0,axiom,
% 0.57/0.87 ( 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
% 0.57/0.87 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sym__rtrancl_0,axiom,
% 0.57/0.87 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 0.57/0.87 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_distrib__inf__le_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_rtrancl__subset_0,axiom,
% 0.57/0.87 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a)
% 0.57/0.87 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.87 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_compl__unique_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.57/0.87 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.57/0.87 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) = V_y ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Un__Int__crazy_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_bex__empty_0,axiom,
% 0.57/0.87 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.57/0.87 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_image__constant__conv_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Compl__partition2_0,axiom,
% 0.57/0.87 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Compl__partition_0,axiom,
% 0.57/0.87 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_compl__sup__top_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.87 | c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup__compl__top_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.87 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_CollectI_0,axiom,
% 0.57/0.87 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a))
% 0.57/0.87 | ~ hBOOL(hAPP(V_P,V_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_CollectD_0,axiom,
% 0.57/0.87 ( hBOOL(hAPP(V_P,V_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_refl__on__converse_1,axiom,
% 0.57/0.87 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.57/0.87 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_refl__on__converse_0,axiom,
% 0.57/0.87 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 0.57/0.87 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_vimage__Compl_0,axiom,
% 0.57/0.87 c_Set_Ovimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ouminus__class_Ouminus(c_Set_Ovimage(V_f,V_A,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_wf__converse__trancl_0,axiom,
% 0.57/0.87 ( hBOOL(c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a))
% 0.57/0.87 | ~ hBOOL(c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_rel__comp__subset__Sigma_0,axiom,
% 0.57/0.87 ( 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))
% 0.57/0.87 | ~ 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))
% 0.57/0.87 | ~ 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)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_wf__union__compatible_0,axiom,
% 0.57/0.87 ( hBOOL(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))
% 0.57/0.87 | ~ 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))
% 0.57/0.87 | ~ hBOOL(c_Wellfounded_Owf(V_S,T_a))
% 0.57/0.87 | ~ hBOOL(c_Wellfounded_Owf(V_R,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_trans__reflclI_0,axiom,
% 0.57/0.87 ( hBOOL(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))
% 0.57/0.87 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup1E_0,axiom,
% 0.57/0.87 ( hBOOL(hAPP(V_B,V_x))
% 0.57/0.87 | hBOOL(hAPP(V_A,V_x))
% 0.57/0.87 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup1CI_0,axiom,
% 0.57/0.87 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.57/0.87 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup1CI_1,axiom,
% 0.57/0.87 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.57/0.87 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_wf__Un_0,axiom,
% 0.57/0.87 ( 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))
% 0.57/0.87 | ~ hBOOL(c_Wellfounded_Owf(V_s,T_a))
% 0.57/0.87 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a))
% 0.57/0.87 | hBOOL(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)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_rtrancl__unfold_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_endo__inj__surj_0,axiom,
% 0.57/0.87 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A
% 0.57/0.87 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 0.57/0.87 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool))
% 0.57/0.87 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_UnE_0,axiom,
% 0.57/0.87 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.87 | hBOOL(c_in(V_c,V_A,T_a))
% 0.57/0.87 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Times__Int__distrib1_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_trans__O__subset_0,axiom,
% 0.57/0.87 ( 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))
% 0.57/0.87 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_single__valued__rel__comp_0,axiom,
% 0.57/0.87 ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c)
% 0.57/0.87 | ~ c_Relation_Osingle__valued(V_s,T_b,T_c)
% 0.57/0.87 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_partial__order__on__def_1,axiom,
% 0.57/0.87 ( c_Relation_Oantisym(V_r,T_a)
% 0.57/0.87 | ~ hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_converse__converse_0,axiom,
% 0.57/0.87 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_refl__on__Un_0,axiom,
% 0.57/0.87 ( 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)
% 0.57/0.87 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 0.57/0.87 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__left__commute_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_inf__assoc_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.87 | 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) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Int__assoc_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_Int__left__commute_0,axiom,
% 0.57/0.87 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)) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_refl__rtrancl_0,axiom,
% 0.57/0.87 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_finite__Un_0,axiom,
% 0.57/0.87 ( c_Finite__Set_Ofinite(V_F,T_a)
% 0.57/0.87 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_finite__Un_1,axiom,
% 0.57/0.87 ( c_Finite__Set_Ofinite(V_G,T_a)
% 0.57/0.87 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_INF__leI_0,axiom,
% 0.57/0.87 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b)
% 0.57/0.87 | c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_a,T_b),hAPP(V_M,V_i),T_b)
% 0.57/0.87 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_INT__lower_0,axiom,
% 0.57/0.87 ( c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),hAPP(V_B,V_a),tc_fun(T_b,tc_bool))
% 0.57/0.87 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.57/0.87
% 0.57/0.87 cnf(cls_sup__bot__right_0,axiom,
% 0.57/0.87 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__bot__left_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__empty__left_0,axiom,
% 0.57/0.88 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 ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__empty__right_0,axiom,
% 0.57/0.88 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 ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inj__image__eq__iff_0,axiom,
% 0.57/0.88 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b)
% 0.57/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.57/0.88 | V_A = V_B ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_linear__order__on__def__raw_0,axiom,
% 0.57/0.88 c_Order__Relation_Olinear__order__on(v_A,v_r,t_a) = c_and(c_Order__Relation_Opartial__order__on(v_A,v_r,t_a),c_Relation_Ototal__on(v_A,v_r,t_a)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_INTER__UNIV__conv_I1_J_0,axiom,
% 0.57/0.88 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool))
% 0.57/0.88 | hAPP(V_B,V_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rtrancl__idemp__self__comp_0,axiom,
% 0.57/0.88 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) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_wfE__pf_0,axiom,
% 0.57/0.88 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ hBOOL(c_Wellfounded_Owf(V_R,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_antisym__converse_0,axiom,
% 0.57/0.88 ( c_Relation_Oantisym(V_r,T_a)
% 0.57/0.88 | ~ c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_antisym__converse_1,axiom,
% 0.57/0.88 ( c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.57/0.88 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_compl__top__eq_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Compl__UNIV__eq_0,axiom,
% 0.57/0.88 c_HOL_Ouminus__class_Ouminus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_bot1E_0,axiom,
% 0.57/0.88 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.57/0.88 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.88 | 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_image__vimage__eq_0,axiom,
% 0.57/0.88 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_trans__Int_0,axiom,
% 0.57/0.88 ( hBOOL(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))
% 0.57/0.88 | ~ hBOOL(c_Relation_Otrans(V_s,T_a))
% 0.57/0.88 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_distrib__sup__le_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | 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) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_acyclic__impl__antisym__rtrancl_0,axiom,
% 0.57/0.88 ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 0.57/0.88 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__inf__absorb_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_union__comp__emptyL_0,axiom,
% 0.57/0.88 ( c_Relation_Orel__comp(V_B,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.88 | c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.88 | c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_C,T_a,T_a,T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_union__comp__emptyR_0,axiom,
% 0.57/0.88 ( c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.88 | c_Relation_Orel__comp(V_A,V_B,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.88 | c_Relation_Orel__comp(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a,T_a,T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_compl__eq__compl__iff_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(V_x,T_a) != c_HOL_Ouminus__class_Ouminus(V_y,T_a)
% 0.57/0.88 | V_x = V_y ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_neg__equal__iff__equal_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(V_a,T_a) != c_HOL_Ouminus__class_Ouminus(V_b,T_a)
% 0.57/0.88 | V_a = V_b ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Compl__eq__Compl__iff_0,axiom,
% 0.57/0.88 ( c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) != c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool))
% 0.57/0.88 | V_A = V_B ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Collect__empty__eq_0,axiom,
% 0.57/0.88 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_acyclic__converse_0,axiom,
% 0.57/0.88 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.57/0.88 | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_acyclic__converse_1,axiom,
% 0.57/0.88 ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.57/0.88 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_equalityI_0,axiom,
% 0.57/0.88 ( V_A = V_B
% 0.57/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_set__eq__subset_2,axiom,
% 0.57/0.88 ( V_A = V_B
% 0.57/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_order__eq__iff_2,axiom,
% 0.57/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.57/0.88 | V_x = V_y
% 0.57/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_order__antisym_0,axiom,
% 0.57/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.57/0.88 | V_x = V_y
% 0.57/0.88 | ~ c_lessequals(V_y,V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_order__antisym__conv_0,axiom,
% 0.57/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.57/0.88 | V_x = V_y
% 0.57/0.88 | ~ c_lessequals(V_x,V_y,T_a)
% 0.57/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__sup__absorb_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__Diff__Int_0,axiom,
% 0.57/0.88 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 ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__absorb1_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.57/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__iff__sup_1,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.57/0.88 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__iff__sup_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.57/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__absorb1_0,axiom,
% 0.57/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.57/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__absorb2_0,axiom,
% 0.57/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.57/0.88 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_subset__Un__eq_1,axiom,
% 0.57/0.88 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.57/0.88 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_refl__on__Int_0,axiom,
% 0.57/0.88 ( 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)
% 0.57/0.88 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 0.57/0.88 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_finite__imageI_0,axiom,
% 0.57/0.88 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_antisym__empty_0,axiom,
% 0.57/0.88 c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Range__empty_0,axiom,
% 0.57/0.88 c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_trancl__subset__Sigma_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_bot__empty__eq_0,axiom,
% 0.57/0.88 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Range__rtrancl_0,axiom,
% 0.57/0.88 c_Relation_ORange(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rtrancl__subset__rtrancl_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimage__const_1,axiom,
% 0.57/0.88 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.88 | hBOOL(c_in(V_c,V_A,T_b)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_finite__compl_0,axiom,
% 0.57/0.88 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_finite__compl_1,axiom,
% 0.57/0.88 ( c_Finite__Set_Ofinite(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rtrancl__converse_0,axiom,
% 0.57/0.88 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) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_subset__empty_0,axiom,
% 0.57/0.88 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_subset__empty_1,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_fun__Compl__def__raw_0,axiom,
% 0.57/0.88 ( ~ class_HOL_Ouminus(t_b)
% 0.57/0.88 | hAPP(c_HOL_Ouminus__class_Ouminus(v_A,tc_fun(t_a,t_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(v_A,v_x),t_b) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Range__def__raw_0,axiom,
% 0.57/0.88 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) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_emptyE_0,axiom,
% 0.57/0.88 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_empty__iff_0,axiom,
% 0.57/0.88 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_ball__empty_0,axiom,
% 0.57/0.88 ( hBOOL(hAPP(V_P,V_x))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_ex__in__conv_0,axiom,
% 0.57/0.88 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_refl__on__empty_0,axiom,
% 0.57/0.88 c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_total__on__empty_0,axiom,
% 0.57/0.88 hBOOL(c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__mono_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_converse__Un_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__greatest_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_z,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__inf__iff_2,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_z,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__infI_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_b,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__le2_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__le1_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__lower1_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Sigma__Un__distrib1_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimage__mono_0,axiom,
% 0.57/0.88 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_converse__Int_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__empty_1,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__empty_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.57/0.88 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.57/0.88 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rel__comp__distrib2_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rel__comp__distrib_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_single__valued__rel__pow_0,axiom,
% 0.57/0.88 ( c_Relation_Osingle__valued(c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),T_a,T_a)
% 0.57/0.88 | ~ c_Relation_Osingle__valued(V_R,T_a,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__subset__iff_1,axiom,
% 0.57/0.88 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__subset__iff_0,axiom,
% 0.57/0.88 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__infE_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,V_a,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__infE_1,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,V_b,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__infI1_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__infI2_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__inf__iff_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,V_y,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__inf__iff_1,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,V_z,T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimage__eq_1,axiom,
% 0.57/0.88 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a))
% 0.57/0.88 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimageI2_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b))
% 0.57/0.88 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimageI_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b))
% 0.57/0.88 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimageE_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b))
% 0.57/0.88 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimageD_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b))
% 0.57/0.88 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_INTER__UNIV__conv_I2_J_0,axiom,
% 0.57/0.88 ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 0.57/0.88 | hAPP(V_B,V_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_complete__lattice_OInf__lower_0,axiom,
% 0.57/0.88 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.88 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_complete__lattice_OSup__upper_0,axiom,
% 0.57/0.88 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A)))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.88 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__eq__neg__sup_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.57/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__commute_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__commute_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Compl__Int_0,axiom,
% 0.57/0.88 c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_compl__inf_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_neg__inf__eq__sup_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Domain__Un__eq_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rel__pow__commute_0,axiom,
% 0.57/0.88 c_Relation_Orel__comp(V_R,c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),T_a,T_a,T_a) = c_Relation_Orel__comp(c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),V_R,T_a,T_a,T_a) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Sigma__empty1_0,axiom,
% 0.57/0.88 c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__left__absorb_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__left__idem_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | 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) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | 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) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Domain__empty__iff_0,axiom,
% 0.57/0.88 ( c_Relation_ODomain(V_r,T_a,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.88 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_empty__is__image_1,axiom,
% 0.57/0.88 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) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Compl__Un_0,axiom,
% 0.57/0.88 c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_compl__sup_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_neg__sup__eq__inf_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Diff__disjoint_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_trancl__domain_0,axiom,
% 0.57/0.88 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Domain__rtrancl_0,axiom,
% 0.57/0.88 c_Relation_ODomain(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sym__converse_1,axiom,
% 0.57/0.88 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.57/0.88 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sym__converse_0,axiom,
% 0.57/0.88 ( c_Relation_Osym(V_r,T_a)
% 0.57/0.88 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sym__Un__converse_0,axiom,
% 0.57/0.88 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) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_well__order__on__empty_0,axiom,
% 0.57/0.88 hBOOL(c_Order__Relation_Owell__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_finite_0,axiom,
% 0.57/0.88 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.57/0.88 | c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__Collect_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimage__Un_0,axiom,
% 0.57/0.88 c_Set_Ovimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Range__Int__subset_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rtrancl__Un__rtrancl_0,axiom,
% 0.57/0.88 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) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_wf__no__loop_0,axiom,
% 0.57/0.88 ( c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.88 | hBOOL(c_Wellfounded_Owf(V_R,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Diff__Compl_0,axiom,
% 0.57/0.88 c_HOL_Ominus__class_Ominus(V_A,c_HOL_Ouminus__class_Ouminus(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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf1E_1,axiom,
% 0.57/0.88 ( hBOOL(hAPP(V_B,V_x))
% 0.57/0.88 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf1E_0,axiom,
% 0.57/0.88 ( hBOOL(hAPP(V_A,V_x))
% 0.57/0.88 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rtrancl__Int__subset_0,axiom,
% 0.57/0.88 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.88 | ~ 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))
% 0.57/0.88 | ~ c_lessequals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_finite__surj__inj_0,axiom,
% 0.57/0.88 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a)
% 0.57/0.88 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inj__on__Un_1,axiom,
% 0.57/0.88 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b)
% 0.57/0.88 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inj__on__Un_0,axiom,
% 0.57/0.88 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.57/0.88 | ~ c_Fun_Oinj__on(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_disjoint__eq__subset__Compl_1,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_disjoint__eq__subset__Compl_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_wf__union__merge_1,axiom,
% 0.57/0.88 ( hBOOL(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))
% 0.57/0.88 | ~ hBOOL(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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_wf__union__merge_0,axiom,
% 0.57/0.88 ( hBOOL(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))
% 0.57/0.88 | ~ hBOOL(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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sym__Int_0,axiom,
% 0.57/0.88 ( 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)
% 0.57/0.88 | ~ c_Relation_Osym(V_s,T_a)
% 0.57/0.88 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimage__subsetI_0,axiom,
% 0.57/0.88 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.57/0.88 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_trancl__id_0,axiom,
% 0.57/0.88 ( c_Transitive__Closure_Otrancl(V_r,T_a) = V_r
% 0.57/0.88 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sym__trancl_0,axiom,
% 0.57/0.88 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 0.57/0.88 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_refl__on__comp__subset_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_rev__image__eqI_0,axiom,
% 0.57/0.88 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 0.57/0.88 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_image__iff_2,axiom,
% 0.57/0.88 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.57/0.88 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_image__eqI_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_imageI_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 0.57/0.88 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Diff__subset__conv_1,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Diff__subset__conv_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_trancl__unfold_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_double__complement_0,axiom,
% 0.57/0.88 c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_minus__minus_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) = V_a ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_double__compl_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_equation__minus__iff_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.57/0.88 | V_b = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_equation__minus__iff_1,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.57/0.88 | V_a = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_minus__equation__iff_1,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Ogroup__add(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) = V_b ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_vimage__Int_0,axiom,
% 0.57/0.88 c_Set_Ovimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_finite__Int_1,axiom,
% 0.57/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_finite__Int_0,axiom,
% 0.57/0.88 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.88 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__funD_0,axiom,
% 0.57/0.88 ( ~ class_HOL_Oord(T_b)
% 0.57/0.88 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.57/0.88 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__minus__iff_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.57/0.88 | c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)
% 0.57/0.88 | ~ c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__minus__iff_1,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.57/0.88 | c_lessequals(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)
% 0.57/0.88 | ~ c_lessequals(V_b,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_minus__le__iff_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.57/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a)
% 0.57/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_minus__le__iff_1,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.57/0.88 | c_lessequals(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)
% 0.57/0.88 | ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_a,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__eqI_1,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.57/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.57/0.88 | c_lessequals(V_y,V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__eqI_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.57/0.88 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.57/0.88 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.57/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_minus__diff__eq_0,axiom,
% 0.57/0.88 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a) = c_HOL_Ominus__class_Ominus(V_b,V_a,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_top__greatest_0,axiom,
% 0.57/0.88 ( ~ class_Orderings_Otop(T_a)
% 0.57/0.88 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__top__left_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.88 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__top__right_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__lower2_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__greatest_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__subset__iff_2,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Times__Un__distrib1_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_INT__empty_0,axiom,
% 0.57/0.88 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_fun__Compl__def_0,axiom,
% 0.57/0.88 ( ~ class_HOL_Ouminus(T_b)
% 0.57/0.88 | hAPP(c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(t_a,T_b)),v_x) = c_HOL_Ouminus__class_Ouminus(hAPP(V_A,v_x),T_b) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_INT__constant_0,axiom,
% 0.57/0.88 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.57/0.88 | 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) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.57/0.88 | 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) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__Int__distrib_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_empty__Collect__eq_0,axiom,
% 0.57/0.88 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a)
% 0.57/0.88 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_compl__bot__eq_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oboolean__algebra(T_a)
% 0.57/0.88 | c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Compl__empty__eq_0,axiom,
% 0.57/0.88 c_HOL_Ouminus__class_Ouminus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_a)
% 0.57/0.88 | 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) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__left__idem_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | 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) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__left__absorb_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_strict__linear__order__on__def__raw_0,axiom,
% 0.57/0.88 hAPP(c_Order__Relation_Ostrict__linear__order__on(v_A,t_a),v_r) = c_and(c_Relation_Otrans(v_r,t_a),c_and(c_Relation_Oirrefl(v_r,t_a),c_Relation_Ototal__on(v_A,v_r,t_a))) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Image__Int__eq_0,axiom,
% 0.57/0.88 ( 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))
% 0.57/0.88 | ~ c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_complete__lattice_OSup__empty_0,axiom,
% 0.57/0.88 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot
% 0.57/0.88 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_complete__lattice_OInf__empty_0,axiom,
% 0.57/0.88 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top
% 0.57/0.88 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_UnCI_0,axiom,
% 0.57/0.88 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.57/0.88 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_UnCI_1,axiom,
% 0.57/0.88 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.57/0.88 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Range__Un__eq_0,axiom,
% 0.57/0.88 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)) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_strict__linear__order__on__def_3,axiom,
% 0.57/0.88 ( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r))
% 0.57/0.88 | ~ hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))
% 0.57/0.88 | ~ hBOOL(c_Relation_Oirrefl(V_r,T_a))
% 0.57/0.88 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__idem_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.57/0.88 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Int__absorb_0,axiom,
% 0.57/0.88 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__sup__iff_1,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_y,V_z,T_a)
% 0.57/0.88 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__sup__iff_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,V_z,T_a)
% 0.57/0.88 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__supI2_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__supI1_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.57/0.88 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__supE_1,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_b,V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_le__supE_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.57/0.88 | c_lessequals(V_a,V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__subset__iff_0,axiom,
% 0.57/0.88 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Un__subset__iff_1,axiom,
% 0.57/0.88 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.88 | ~ 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)) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_Domain__converse_0,axiom,
% 0.57/0.88 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) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_inf__fun__eq_0,axiom,
% 0.57/0.88 ( ~ class_Lattices_Olattice(T_b)
% 0.57/0.88 | hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_f,V_g,tc_fun(t_a,T_b)),v_x) = c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_f,v_x),hAPP(V_g,v_x),T_b) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_xt1_I6_J_0,axiom,
% 0.57/0.88 ( ~ class_Orderings_Oorder(T_a)
% 0.57/0.88 | c_lessequals(V_z,V_x,T_a)
% 0.57/0.88 | ~ c_lessequals(V_z,V_y,T_a)
% 0.57/0.88 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.57/0.88
% 0.57/0.88 cnf(cls_set__mp_0,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subsetD_0,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_equalityE_0,axiom,
% 0.57/0.89 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_set__rev__mp_0,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subset__iff_0,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subset__refl_0,axiom,
% 0.57/0.89 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subset__trans_0,axiom,
% 0.57/0.89 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subset__inj__on_0,axiom,
% 0.57/0.89 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b)
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_predicate1D_0,axiom,
% 0.57/0.89 ( hBOOL(hAPP(V_Q,V_x))
% 0.57/0.89 | ~ hBOOL(hAPP(V_P,V_x))
% 0.57/0.89 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_order__eq__iff_0,axiom,
% 0.57/0.89 ( ~ class_Orderings_Oorder(T_a)
% 0.57/0.89 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_order__eq__refl_0,axiom,
% 0.57/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.57/0.89 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_antisym__subset_0,axiom,
% 0.57/0.89 ( c_Relation_Oantisym(V_r,T_a)
% 0.57/0.89 | ~ c_Relation_Oantisym(V_s,T_a)
% 0.57/0.89 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_finite__subset_0,axiom,
% 0.57/0.89 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(V_B,T_a)
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_rev__predicate1D_0,axiom,
% 0.57/0.89 ( hBOOL(hAPP(V_Q,V_x))
% 0.57/0.89 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_acyclic__subset_0,axiom,
% 0.57/0.89 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.57/0.89 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.89 | ~ c_Wellfounded_Oacyclic(V_s,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_rev__finite__subset_0,axiom,
% 0.57/0.89 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_single__valued__subset_0,axiom,
% 0.57/0.89 ( c_Relation_Osingle__valued(V_r,T_a,T_b)
% 0.57/0.89 | ~ c_Relation_Osingle__valued(V_s,T_a,T_b)
% 0.57/0.89 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_order__trans_0,axiom,
% 0.57/0.89 ( ~ class_Orderings_Opreorder(T_a)
% 0.57/0.89 | c_lessequals(V_x,V_z,T_a)
% 0.57/0.89 | ~ c_lessequals(V_y,V_z,T_a)
% 0.57/0.89 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_INF1__D_0,axiom,
% 0.57/0.89 ( hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.57/0.89 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.57/0.89 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_INF1__E_0,axiom,
% 0.57/0.89 ( ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.57/0.89 | hBOOL(hAPP(hAPP(V_B,V_a),V_b))
% 0.57/0.89 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_INF1__iff_0,axiom,
% 0.57/0.89 ( hBOOL(hAPP(hAPP(V_B,V_x),V_b))
% 0.57/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.57/0.89 | ~ hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_trancl__unfold__right_0,axiom,
% 0.57/0.89 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) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_trancl__unfold__left_0,axiom,
% 0.57/0.89 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) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_image__is__empty_0,axiom,
% 0.57/0.89 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.89 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Int__mono_0,axiom,
% 0.57/0.89 ( 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))
% 0.57/0.89 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__Un_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_inj__on__image__set__diff_0,axiom,
% 0.57/0.89 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_INT__Un_0,axiom,
% 0.57/0.89 c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),V_M,T_b,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_A,V_M,T_b,tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_B,V_M,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_inj__image__Compl__subset_0,axiom,
% 0.57/0.89 ( c_lessequals(c_Set_Oimage(V_f,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),T_a,T_b),c_HOL_Ouminus__class_Ouminus(c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool))
% 0.57/0.89 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subset__Compl__self__eq_0,axiom,
% 0.57/0.89 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_A,c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Int__Collect_2,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Collect(V_P,T_a),tc_fun(T_a,tc_bool)),T_a))
% 0.57/0.89 | ~ hBOOL(hAPP(V_P,V_x))
% 0.57/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_INT__absorb_0,axiom,
% 0.57/0.89 ( c_Lattices_Olower__semilattice__class_Oinf(hAPP(V_A,V_k),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OINFI(V_I,V_A,T_a,tc_fun(T_b,tc_bool))
% 0.57/0.89 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Domain__mono_0,axiom,
% 0.57/0.89 ( 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))
% 0.57/0.89 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__Int_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Range__def_0,axiom,
% 0.57/0.89 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) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_total__on__converse_0,axiom,
% 0.57/0.89 ( hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_total__on__converse_1,axiom,
% 0.57/0.89 ( hBOOL(c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a))
% 0.57/0.89 | ~ hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Sigma__empty2_0,axiom,
% 0.57/0.89 c_Product__Type_OSigma(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_vimage__code_0,axiom,
% 0.57/0.89 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x)))
% 0.57/0.89 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_vimage__code_1,axiom,
% 0.57/0.89 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x))
% 0.57/0.89 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_partial__order__on__converse_1,axiom,
% 0.57/0.89 ( hBOOL(c_Order__Relation_Opartial__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_partial__order__on__converse_0,axiom,
% 0.57/0.89 ( hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Opartial__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_IntI_0,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Int__iff_2,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_inf1I_0,axiom,
% 0.57/0.89 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.57/0.89 | ~ hBOOL(hAPP(V_B,V_x))
% 0.57/0.89 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_sup__eq__neg__inf_0,axiom,
% 0.57/0.89 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a)
% 0.57/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a) = c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_vimage__const_0,axiom,
% 0.57/0.89 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_A,T_b)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_image__mono_0,axiom,
% 0.57/0.89 ( 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))
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subset__image__iff_2,axiom,
% 0.57/0.89 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.57/0.89 | 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)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_lnear__order__on__empty_0,axiom,
% 0.57/0.89 hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_finite__imageD_0,axiom,
% 0.57/0.89 ( c_Finite__Set_Ofinite(V_A,T_b)
% 0.57/0.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a)
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Un__empty_2,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_sym__Int__converse_0,axiom,
% 0.57/0.89 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) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_image__Un_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_vimage__empty_0,axiom,
% 0.57/0.89 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_trancl__empty_0,axiom,
% 0.57/0.89 c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Range__empty__iff_0,axiom,
% 0.57/0.89 ( c_Relation_ORange(V_r,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.57/0.89 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Image__mono_0,axiom,
% 0.57/0.89 ( 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))
% 0.57/0.89 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Sup__upper_0,axiom,
% 0.57/0.89 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.57/0.89 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a)
% 0.57/0.89 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_trancl__rtrancl__absorb_0,axiom,
% 0.57/0.89 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_rtrancl__idemp_0,axiom,
% 0.57/0.89 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_linorder__linear_0,axiom,
% 0.57/0.89 ( ~ class_Orderings_Olinorder(T_a)
% 0.57/0.89 | c_lessequals(V_y,V_x,T_a)
% 0.57/0.89 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_inf__eq__top__eq1_0,axiom,
% 0.57/0.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.57/0.89 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_inf__eq__top__eq2_0,axiom,
% 0.57/0.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.89 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,T_a) != c_Orderings_Otop__class_Otop(T_a)
% 0.57/0.89 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_sup__top__left_0,axiom,
% 0.57/0.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.89 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(T_a),V_x,T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_sup__top__right_0,axiom,
% 0.57/0.89 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.57/0.89 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_finite__UNIV_0,axiom,
% 0.57/0.89 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a)
% 0.57/0.89 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_subset__UNIV_0,axiom,
% 0.57/0.89 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Int__UNIV__right_0,axiom,
% 0.57/0.89 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Int__UNIV__left_0,axiom,
% 0.57/0.89 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_UNIV__not__empty_0,axiom,
% 0.57/0.89 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_injD_0,axiom,
% 0.57/0.89 ( hAPP(V_f,V_x) != hAPP(V_f,V_y)
% 0.57/0.89 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.57/0.89 | V_x = V_y ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_UNIV__I_0,axiom,
% 0.57/0.89 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Un__UNIV__right_0,axiom,
% 0.57/0.89 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Un__UNIV__left_0,axiom,
% 0.57/0.89 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_vimage__UNIV_0,axiom,
% 0.57/0.89 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_complete__lattice_OInf__UNIV_0,axiom,
% 0.57/0.89 ( hAPP(V_Inf,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_bot
% 0.57/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_complete__lattice_OSup__UNIV_0,axiom,
% 0.57/0.89 ( hAPP(V_Sup,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_top
% 0.57/0.89 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_INT__extend__simps_I3_J_0,axiom,
% 0.57/0.89 c_HOL_Ominus__class_Ominus(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_image__set__diff_0,axiom,
% 0.57/0.89 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool))
% 0.57/0.89 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_double__diff_0,axiom,
% 0.57/0.89 ( 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
% 0.57/0.89 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Int__Diff_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__Int2_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__mono_0,axiom,
% 0.57/0.89 ( 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))
% 0.57/0.89 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.57/0.89 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_empty__Diff_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__cancel_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__empty_0,axiom,
% 0.57/0.89 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 ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_DiffE_1,axiom,
% 0.57/0.89 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_DiffE_0,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_finite__Diff2_1,axiom,
% 0.57/0.89 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(V_A,T_a)
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_finite__Diff2_0,axiom,
% 0.57/0.89 ( c_Finite__Set_Ofinite(V_A,T_a)
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_vimage__Diff_0,axiom,
% 0.57/0.89 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_inj__on__diff_0,axiom,
% 0.57/0.89 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)
% 0.57/0.89 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_finite__Diff_0,axiom,
% 0.57/0.89 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.57/0.89 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__subset_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__iff_2,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.57/0.89 | hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_DiffI_0,axiom,
% 0.57/0.89 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.57/0.89 | hBOOL(c_in(V_c,V_B,T_a))
% 0.57/0.89 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.57/0.89 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)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Un__Diff_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__measure_0,axiom,
% 0.57/0.89 hBOOL(c_Wellfounded_Owf(c_Wellfounded_Omeasure(V_f,T_a),T_a)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__subset_0,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(V_p,T_a))
% 0.57/0.89 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__Int2_0,axiom,
% 0.57/0.89 ( hBOOL(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))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__Int1_0,axiom,
% 0.57/0.89 ( hBOOL(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))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__exp_0,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(V_R,T_a))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(c_Nat_Ocompow(V_n,V_R,tc_prod(T_a,T_a),tc_bool),T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__measures_0,axiom,
% 0.57/0.89 hBOOL(c_Wellfounded_Owf(c_List_Omeasures(V_fs,T_a),T_a)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__def_1,axiom,
% 0.57/0.89 ( hBOOL(hAPP(V_P,V_xb))
% 0.57/0.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a)))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__mlex_0,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(c_Wellfounded_Omlex__prod(V_f,V_R,T_a),T_a))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_R,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__trancl_0,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__induct_1,axiom,
% 0.57/0.89 ( hBOOL(hAPP(V_P,V_a))
% 0.57/0.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a)))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__inv__image_0,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_tfl__wf__induct_1,axiom,
% 0.57/0.89 ( hBOOL(hAPP(V_P,V_Rb))
% 0.57/0.89 | ~ hBOOL(hAPP(V_P,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a)))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_R,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__comp__self_1,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(V_R,T_a))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__comp__self_0,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_R,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__acyclic_0,axiom,
% 0.57/0.89 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__empty_0,axiom,
% 0.57/0.89 hBOOL(c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_wf__induct__rule_1,axiom,
% 0.57/0.89 ( hBOOL(hAPP(V_P,V_a))
% 0.57/0.89 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a)))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_refl__reflcl_0,axiom,
% 0.57/0.89 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Times__Diff__distrib1_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Range__Diff__subset_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Domain__Diff__subset_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_trans__Id_0,axiom,
% 0.57/0.89 hBOOL(c_Relation_Otrans(c_Relation_OId(T_a),T_a)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_antisym__Id_0,axiom,
% 0.57/0.89 c_Relation_Oantisym(c_Relation_OId(T_a),T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_converse__Id_0,axiom,
% 0.57/0.89 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_single__valued__Id_0,axiom,
% 0.57/0.89 c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Image__Id_0,axiom,
% 0.57/0.89 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_R__O__Id_0,axiom,
% 0.57/0.89 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Id__O__R_0,axiom,
% 0.57/0.89 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_sym__Id_0,axiom,
% 0.57/0.89 c_Relation_Osym(c_Relation_OId(T_a),T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_trans__diff__Id_0,axiom,
% 0.57/0.89 ( hBOOL(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))
% 0.57/0.89 | ~ c_Relation_Oantisym(V_r,T_a)
% 0.57/0.89 | ~ hBOOL(c_Relation_Otrans(V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_linear__order__on__converse_0,axiom,
% 0.57/0.89 ( hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_linear__order__on__converse_1,axiom,
% 0.57/0.89 ( hBOOL(c_Order__Relation_Olinear__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_well__order__on__def_0,axiom,
% 0.57/0.89 ( hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Owell__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_linear__order__on__def_1,axiom,
% 0.57/0.89 ( hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_linear__order__on__def_0,axiom,
% 0.57/0.89 ( hBOOL(c_Order__Relation_Opartial__order__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_strict__linear__order__on__def_0,axiom,
% 0.57/0.89 ( hBOOL(c_Relation_Otrans(V_r,T_a))
% 0.57/0.89 | ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_strict__linear__order__on__def_1,axiom,
% 0.57/0.89 ( hBOOL(c_Relation_Oirrefl(V_r,T_a))
% 0.57/0.89 | ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_strict__linear__order__on__def_2,axiom,
% 0.57/0.89 ( hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),V_r)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_well__order__on__def__raw_0,axiom,
% 0.57/0.89 c_Order__Relation_Owell__order__on(v_A,v_r,t_a) = c_and(c_Order__Relation_Olinear__order__on(v_A,v_r,t_a),c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(v_r,c_Relation_OId(t_a),tc_fun(tc_prod(t_a,t_a),tc_bool)),t_a)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_fun__diff__def_0,axiom,
% 0.57/0.89 ( ~ class_HOL_Ominus(T_b)
% 0.57/0.89 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_top__fun__eq_0,axiom,
% 0.57/0.89 ( ~ class_Orderings_Otop(T_b)
% 0.57/0.89 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Sup__UNIV_0,axiom,
% 0.57/0.89 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a)
% 0.57/0.89 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__UNIV_0,axiom,
% 0.57/0.89 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Compl__eq__Diff__UNIV_0,axiom,
% 0.57/0.89 c_HOL_Ouminus__class_Ouminus(V_A,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_refl__Id_0,axiom,
% 0.57/0.89 c_Relation_Orefl__on(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),c_Relation_OId(T_a),T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Range__Id_0,axiom,
% 0.57/0.89 c_Relation_ORange(c_Relation_OId(T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Domain__Id_0,axiom,
% 0.57/0.89 c_Relation_ODomain(c_Relation_OId(T_a),T_a,T_a) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Sigma__Diff__distrib1_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_total__on__diff__Id_1,axiom,
% 0.57/0.89 ( hBOOL(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))
% 0.57/0.89 | ~ hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_total__on__diff__Id_0,axiom,
% 0.57/0.89 ( hBOOL(c_Relation_Ototal__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(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)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_rtrancl__r__diff__Id_0,axiom,
% 0.57/0.89 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) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_irrefl__diff__Id_0,axiom,
% 0.57/0.89 hBOOL(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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Lin__def_0,axiom,
% 0.57/0.89 c_Arrow__Order__Mirabelle_OLin = c_Collect(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_well__order__on__def_1,axiom,
% 0.57/0.89 ( hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Owell__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_well__order__on__def_2,axiom,
% 0.57/0.89 ( hBOOL(c_Order__Relation_Owell__order__on(V_A,V_r,T_a))
% 0.57/0.89 | ~ hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_top1I_0,axiom,
% 0.57/0.89 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_Diff__idemp_0,axiom,
% 0.57/0.89 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)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_eq__eqI_1,axiom,
% 0.57/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.57/0.89 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.57/0.89 | V_xa = V_y ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_eq__eqI_0,axiom,
% 0.57/0.89 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.57/0.89 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.57/0.89 | V_x_H = V_y_H ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_strict__linear__order__on__diff__Id_0,axiom,
% 0.57/0.89 ( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))))
% 0.57/0.89 | ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_conjecture_0,negated_conjecture,
% 0.57/0.89 hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_conjecture_1,negated_conjecture,
% 0.57/0.89 hBOOL(c_Wellfounded_Owf(c_HOL_Ominus__class_Ominus(v_r,c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_Arrow__Order__Mirabelle_Oalt)) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_conjecture_2,negated_conjecture,
% 0.57/0.89 ~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),V_x)) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_prod__Finite__Set_Ofinite_Ofinite,axiom,
% 0.57/0.89 ( class_Finite__Set_Ofinite_Ofinite(tc_prod(T_2,T_1))
% 0.57/0.89 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.57/0.89 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.57/0.89 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.57/0.89 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.57/0.89 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.57/0.89 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.57/0.89 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Lattices_Oboolean__algebra,axiom,
% 0.57/0.89 ( class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Lattices_Oboolean__algebra(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom,
% 0.57/0.89 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Finite__Set_Ofinite_Ofinite(T_1)
% 0.57/0.89 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.57/0.89 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.57/0.89 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.57/0.89 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Orderings_Otop,axiom,
% 0.57/0.89 ( class_Orderings_Otop(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Orderings_Otop(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.57/0.89 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_Orderings_Obot(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__HOL_Ouminus,axiom,
% 0.57/0.89 ( class_HOL_Ouminus(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_HOL_Ouminus(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.57/0.89 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_HOL_Ominus(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.57/0.89 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.57/0.89 | ~ class_HOL_Oord(T_1) ) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom,
% 0.57/0.89 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.57/0.89 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.57/0.89 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.57/0.89 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.57/0.89 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
% 0.57/0.89 class_Lattices_Oboolean__algebra(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom,
% 0.57/0.89 class_Finite__Set_Ofinite_Ofinite(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.57/0.89 class_Orderings_Opreorder(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.57/0.89 class_Lattices_Olattice(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.57/0.89 class_Orderings_Oorder(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Orderings_Otop,axiom,
% 0.57/0.89 class_Orderings_Otop(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.57/0.89 class_Orderings_Obot(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__HOL_Ouminus,axiom,
% 0.57/0.89 class_HOL_Ouminus(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.57/0.89 class_HOL_Ominus(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.57/0.89 class_HOL_Oord(tc_bool) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.57/0.89 c_fequal(V_x,V_x,T_a) ).
% 0.57/0.89
% 0.57/0.89 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.57/0.89 ( V_X = V_Y
% 0.57/0.89 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.57/0.89
% 0.57/0.89 %------------------------------------------------------------------------------
% 0.57/0.89 %-------------------------------------------
% 0.57/0.89 % Proof found
% 0.57/0.89 % SZS status Theorem for theBenchmark
% 0.57/0.89 % SZS output start Proof
% 0.57/0.90 %ClaNum:765(EqnAxiom:166)
% 0.57/0.90 %VarNum:4568(SingletonVarNum:1661)
% 0.57/0.90 %MaxLitNum:5
% 0.57/0.90 %MaxfuncDepth:5
% 0.57/0.90 %SharedTerms:69
% 0.57/0.90 %goalClause: 225 334 369
% 0.57/0.90 %singleGoalClaCount:3
% 0.57/0.90 [167]P1(a1)
% 0.57/0.90 [168]P2(a1)
% 0.57/0.90 [169]P18(a1)
% 0.57/0.90 [170]P3(a1)
% 0.57/0.90 [171]P19(a1)
% 0.57/0.90 [172]P20(a1)
% 0.57/0.90 [173]P21(a1)
% 0.57/0.90 [174]P22(a1)
% 0.57/0.90 [175]P27(a1)
% 0.57/0.90 [176]P14(a1)
% 0.57/0.90 [177]P15(a1)
% 0.57/0.90 [178]P16(a1)
% 0.57/0.90 [179]P29(a1)
% 0.57/0.90 [180]P30(a1)
% 0.57/0.90 [181]P17(a1)
% 0.57/0.90 [240]E(f40(f20(a47,a46,a41),f28(a47,a46,a41)),f17(a47,a46,a41))
% 0.57/0.90 [184]E(f4(f3(f43(a34,a1)),a34),a5)
% 0.57/0.90 [210]E(f39(a44,f21(f43(a41,a1)),a41),f38(f21(f43(a41,a1)),a44))
% 0.57/0.90 [225]P31(f17(f3(f43(a34,a1)),a46,a34))
% 0.57/0.90 [255]E(f40(f23(a46,a41),f40(f29(a46,a41),f28(a47,a46,a41))),f38(f4(a47,a41),a46))
% 0.57/0.90 [334]P31(f36(f11(a46,f2(f21(f43(f45(a34,a34),a1)),a34),f43(f45(a34,a34),a1)),a34))
% 0.57/0.90 [336]E(f40(f17(a47,a46,a41),f36(f11(a46,f2(f21(f43(f45(a41,a41),a1)),a41),f43(f45(a41,a41),a1)),a41)),f22(a47,a46,a41))
% 0.57/0.90 [185]P5(f21(f43(x1851,a1)),x1851)
% 0.57/0.90 [196]E(f15(f21(f43(x1961,a1)),f43(x1961,a1)),f3(f43(x1961,a1)))
% 0.57/0.90 [197]E(f15(f3(f43(x1971,a1)),f43(x1971,a1)),f21(f43(x1971,a1)))
% 0.57/0.90 [364]~E(f3(f43(x3641,a1)),f21(f43(x3641,a1)))
% 0.57/0.90 [219]P8(f21(f43(f45(x2191,x2191),a1)),x2191)
% 0.57/0.90 [241]P7(f21(f43(x2411,a1)),f21(f43(f45(x2411,x2411),a1)),x2411)
% 0.57/0.90 [257]P31(f36(f21(f43(f45(x2571,x2571),a1)),x2571))
% 0.57/0.90 [259]P8(f2(f21(f43(f45(x2591,x2591),a1)),x2591),x2591)
% 0.57/0.90 [260]P10(f2(f21(f43(f45(x2601,x2601),a1)),x2601),x2601)
% 0.57/0.90 [263]P11(f2(f21(f43(f45(x2631,x2631),a1)),x2631),x2631,x2631)
% 0.57/0.90 [280]P31(f20(f21(f43(x2801,a1)),f21(f43(f45(x2801,x2801),a1)),x2801))
% 0.57/0.90 [281]P31(f17(f21(f43(x2811,a1)),f21(f43(f45(x2811,x2811),a1)),x2811))
% 0.57/0.90 [282]P31(f22(f21(f43(x2821,a1)),f21(f43(f45(x2821,x2821),a1)),x2821))
% 0.57/0.90 [369]~P31(f38(f4(f3(f43(a34,a1)),a34),x3691))
% 0.57/0.90 [283]E(f26(f2(f21(f43(f45(x2831,x2831),a1)),x2831),x2831,x2831),f2(f21(f43(f45(x2831,x2831),a1)),x2831))
% 0.57/0.90 [183]P4(x1831,x1831,x1832)
% 0.57/0.90 [187]P13(x1871,x1871,f43(x1872,a1))
% 0.57/0.90 [182]E(f2(f2(x1821,x1822),x1822),f2(x1821,x1822))
% 0.57/0.90 [188]E(f9(x1881,x1881,f43(x1882,a1)),x1881)
% 0.57/0.90 [189]E(f10(x1891,x1891,f43(x1892,a1)),x1891)
% 0.57/0.90 [190]P31(f23(f2(x1901,x1902),x1902))
% 0.57/0.90 [191]P31(f36(f35(x1911,x1912),x1912))
% 0.57/0.90 [192]P31(f36(f16(x1921,x1922),x1922))
% 0.57/0.90 [193]E(f11(x1931,x1931,f43(x1932,a1)),f21(f43(x1932,a1)))
% 0.57/0.90 [194]E(f24(f2(x1941,x1942),x1942,x1942),f3(f43(x1942,a1)))
% 0.57/0.90 [195]E(f15(f15(x1951,f43(x1952,a1)),f43(x1952,a1)),x1951)
% 0.57/0.90 [199]P13(x1991,f3(f43(x1992,a1)),f43(x1992,a1))
% 0.57/0.90 [200]P13(f21(f43(x2001,a1)),x2002,f43(x2001,a1))
% 0.57/0.90 [201]E(f9(x2011,f21(f43(x2012,a1)),f43(x2012,a1)),x2011)
% 0.57/0.90 [202]E(f10(x2021,f3(f43(x2022,a1)),f43(x2022,a1)),x2021)
% 0.57/0.90 [203]E(f11(x2031,f21(f43(x2032,a1)),f43(x2032,a1)),x2031)
% 0.57/0.90 [204]E(f9(f21(f43(x2041,a1)),x2042,f43(x2041,a1)),x2042)
% 0.57/0.90 [205]E(f10(f3(f43(x2051,a1)),x2052,f43(x2051,a1)),x2052)
% 0.57/0.90 [206]P7(f3(f43(x2061,a1)),f2(x2062,x2061),x2061)
% 0.57/0.90 [211]E(f9(x2111,f3(f43(x2112,a1)),f43(x2112,a1)),f3(f43(x2112,a1)))
% 0.57/0.90 [212]E(f10(x2121,f21(f43(x2122,a1)),f43(x2122,a1)),f21(f43(x2122,a1)))
% 0.57/0.90 [213]E(f11(x2131,f3(f43(x2132,a1)),f43(x2132,a1)),f21(f43(x2132,a1)))
% 0.57/0.90 [214]E(f9(f3(f43(x2141,a1)),x2142,f43(x2141,a1)),f3(f43(x2141,a1)))
% 0.57/0.90 [215]E(f10(f21(f43(x2151,a1)),x2152,f43(x2151,a1)),f21(f43(x2151,a1)))
% 0.57/0.90 [216]E(f11(f21(f43(x2161,a1)),x2162,f43(x2161,a1)),f21(f43(x2161,a1)))
% 0.57/0.90 [218]E(f11(f3(f43(x2181,a1)),x2182,f43(x2181,a1)),f15(x2182,f43(x2181,a1)))
% 0.57/0.90 [220]E(f9(x2201,f15(x2201,f43(x2202,a1)),f43(x2202,a1)),f3(f43(x2202,a1)))
% 0.57/0.90 [221]E(f10(x2211,f15(x2211,f43(x2212,a1)),f43(x2212,a1)),f21(f43(x2212,a1)))
% 0.57/0.90 [222]E(f9(f15(x2221,f43(x2222,a1)),x2221,f43(x2222,a1)),f3(f43(x2222,a1)))
% 0.57/0.90 [223]E(f10(f15(x2231,f43(x2232,a1)),x2231,f43(x2232,a1)),f21(f43(x2232,a1)))
% 0.57/0.90 [226]E(f26(f2(x2261,x2262),x2262,x2262),f2(f26(x2261,x2262,x2262),x2262))
% 0.57/0.90 [311]E(f31(f2(x3111,x3112),f2(x3111,x3112),x3112,x3112,x3112),f2(x3111,x3112))
% 0.57/0.90 [343]E(f31(f2(x3431,x3432),x3431,x3432,x3432,x3432),f31(x3431,f2(x3431,x3432),x3432,x3432,x3432))
% 0.57/0.90 [207]P31(f38(f3(f43(x2071,a1)),x2072))
% 0.57/0.90 [228]P31(f39(x2281,f3(f43(x2282,a1)),x2282))
% 0.57/0.90 [229]P31(f28(f21(f43(x2291,a1)),x2292,x2291))
% 0.57/0.90 [238]E(f24(f26(f2(x2381,x2382),x2382,x2382),x2382,x2382),f3(f43(x2382,a1)))
% 0.57/0.90 [275]P10(f9(x2751,f26(x2751,x2752,x2752),f43(f45(x2752,x2752),a1)),x2752)
% 0.57/0.90 [276]P10(f10(x2761,f26(x2761,x2762,x2762),f43(f45(x2762,x2762),a1)),x2762)
% 0.57/0.90 [279]E(f9(f2(x2791,x2792),f2(f21(f43(f45(x2792,x2792),a1)),x2792),f43(f45(x2792,x2792),a1)),f2(x2791,x2792))
% 0.57/0.90 [310]P7(f3(f43(x3101,a1)),f9(x3102,f2(f21(f43(f45(x3101,x3101),a1)),x3101),f43(f45(x3101,x3101),a1)),x3101)
% 0.57/0.90 [314]E(f31(f2(x3141,x3142),f2(f2(x3141,x3142),x3142),x3142,x3142,x3142),f2(x3141,x3142))
% 0.57/0.90 [344]E(f2(f31(x3441,f2(x3441,x3442),x3442,x3442,x3442),x3442),f2(x3441,x3442))
% 0.57/0.90 [345]E(f24(f31(x3451,f2(x3451,x3452),x3452,x3452,x3452),x3452,x3452),f24(x3451,x3452,x3452))
% 0.57/0.90 [349]E(f9(f2(f21(f43(f45(x3491,x3491),a1)),x3491),f31(f2(x3492,x3491),x3492,x3491,x3491,x3491),f43(f45(x3491,x3491),a1)),f2(x3492,x3491))
% 0.57/0.90 [350]E(f9(f31(x3501,f2(x3501,x3502),x3502,x3502,x3502),f2(f21(f43(f45(x3502,x3502),a1)),x3502),f43(f45(x3502,x3502),a1)),f2(x3501,x3502))
% 0.57/0.90 [357]E(f31(f26(x3571,x3572,x3572),f2(f26(x3571,x3572,x3572),x3572),x3572,x3572,x3572),f26(f31(x3571,f2(x3571,x3572),x3572,x3572,x3572),x3572,x3572))
% 0.57/0.90 [358]P31(f23(f31(x3581,f2(x3581,x3582),x3582,x3582,x3582),x3582))
% 0.57/0.90 [363]E(f9(x3631,f31(f31(x3631,f2(x3631,x3632),x3632,x3632,x3632),x3631,x3632,x3632,x3632),f43(f45(x3632,x3632),a1)),f31(x3631,f2(x3631,x3632),x3632,x3632,x3632))
% 0.57/0.90 [365]~P31(f38(f21(f43(x3651,a1)),x3652))
% 0.57/0.90 [368]~P31(f39(x3681,f21(f43(x3682,a1)),x3682))
% 0.57/0.90 [237]E(f24(f21(f43(f45(x2371,x2372),a1)),x2371,x2372),f21(f43(x2371,a1)))
% 0.57/0.90 [307]E(f2(f9(x3071,f2(f21(f43(f45(x3072,x3072),a1)),x3072),f43(f45(x3072,x3072),a1)),x3072),f2(x3071,x3072))
% 0.57/0.90 [308]E(f2(f11(x3081,f2(f21(f43(f45(x3082,x3082),a1)),x3082),f43(f45(x3082,x3082),a1)),x3082),f2(x3081,x3082))
% 0.57/0.90 [337]P31(f29(f11(x3371,f2(f21(f43(f45(x3372,x3372),a1)),x3372),f43(f45(x3372,x3372),a1)),x3372))
% 0.57/0.90 [359]E(f24(f26(f31(x3591,f2(x3591,x3592),x3592,x3592,x3592),x3592,x3592),x3592,x3592),f24(f26(x3591,x3592,x3592),x3592,x3592))
% 0.57/0.90 [277]E(f24(f26(f21(f43(f45(x2771,x2772),a1)),x2771,x2772),x2772,x2771),f21(f43(x2772,a1)))
% 0.57/0.90 [285]E(f27(f2(f21(f43(f45(x2851,x2851),a1)),x2851),x2852,x2851,x2851),x2852)
% 0.57/0.90 [356]E(f31(f9(x3561,f2(f21(f43(f45(x3562,x3562),a1)),x3562),f43(f45(x3562,x3562),a1)),f2(f9(x3561,f2(f21(f43(f45(x3562,x3562),a1)),x3562),f43(f45(x3562,x3562),a1)),x3562),x3562,x3562,x3562),f2(x3561,x3562))
% 0.57/0.90 [208]E(f9(x2081,x2082,f43(x2083,a1)),f9(x2082,x2081,f43(x2083,a1)))
% 0.57/0.90 [209]E(f10(x2091,x2092,f43(x2093,a1)),f10(x2092,x2091,f43(x2093,a1)))
% 0.57/0.90 [217]E(f26(f26(x2171,x2172,x2173),x2173,x2172),x2171)
% 0.57/0.90 [230]E(f10(x2301,f15(x2302,f43(x2303,a1)),f43(x2303,a1)),f11(x2301,x2302,f43(x2303,a1)))
% 0.57/0.90 [231]E(f11(x2311,f15(x2312,f43(x2313,a1)),f43(x2313,a1)),f10(x2311,x2312,f43(x2313,a1)))
% 0.57/0.90 [232]P13(x2321,f9(x2322,x2321,f43(x2323,a1)),f43(x2323,a1))
% 0.57/0.90 [233]P13(x2331,f9(x2331,x2332,f43(x2333,a1)),f43(x2333,a1))
% 0.57/0.90 [234]P13(f10(x2341,x2342,f43(x2343,a1)),x2342,f43(x2343,a1))
% 0.57/0.90 [235]P13(f10(x2351,x2352,f43(x2353,a1)),x2351,f43(x2353,a1))
% 0.57/0.90 [236]P13(f11(x2361,x2362,f43(x2363,a1)),x2361,f43(x2363,a1))
% 0.57/0.90 [239]E(f10(x2391,f11(x2392,x2391,f43(x2393,a1)),f43(x2393,a1)),f21(f43(x2393,a1)))
% 0.57/0.90 [243]P9(x2431,f21(f43(x2432,a1)),x2432,x2433)
% 0.57/0.90 [245]E(f9(x2451,f9(x2451,x2452,f43(x2453,a1)),f43(x2453,a1)),f9(x2451,x2452,f43(x2453,a1)))
% 0.57/0.90 [246]E(f9(x2461,f11(x2462,x2461,f43(x2463,a1)),f43(x2463,a1)),f9(x2461,x2462,f43(x2463,a1)))
% 0.57/0.90 [247]E(f10(x2471,f10(x2471,x2472,f43(x2473,a1)),f43(x2473,a1)),f10(x2471,x2472,f43(x2473,a1)))
% 0.57/0.90 [248]E(f9(f11(x2481,x2482,f43(x2483,a1)),x2482,f43(x2483,a1)),f9(x2481,x2482,f43(x2483,a1)))
% 0.57/0.90 [249]E(f11(f11(x2491,x2492,f43(x2493,a1)),x2492,f43(x2493,a1)),f11(x2491,x2492,f43(x2493,a1)))
% 0.57/0.90 [256]E(f9(f15(x2561,f43(x2562,a1)),x2563,f43(x2562,a1)),f15(f11(x2561,x2563,f43(x2562,a1)),f43(x2562,a1)))
% 0.57/0.90 [258]E(f13(f21(f43(x2581,a1)),x2582,x2581,f43(x2583,a1)),f3(f43(x2583,a1)))
% 0.57/0.90 [262]E(f9(f11(x2621,x2622,f43(x2623,a1)),f10(x2621,x2622,f43(x2623,a1)),f43(x2623,a1)),x2621)
% 0.57/0.90 [264]E(f10(f15(x2641,f43(x2642,a1)),f15(x2643,f43(x2642,a1)),f43(x2642,a1)),f15(f9(x2641,x2643,f43(x2642,a1)),f43(x2642,a1)))
% 0.57/0.90 [265]E(f9(f15(x2651,f43(x2652,a1)),f15(x2653,f43(x2652,a1)),f43(x2652,a1)),f15(f10(x2651,x2653,f43(x2652,a1)),f43(x2652,a1)))
% 0.57/0.90 [251]E(f32(x2511,f21(f43(x2512,a1)),x2512,x2513),f21(f43(x2513,a1)))
% 0.57/0.90 [252]E(f33(x2521,f21(f43(x2522,a1)),x2523,x2522),f21(f43(x2523,a1)))
% 0.57/0.90 [253]E(f33(x2531,f3(f43(x2532,a1)),x2533,x2532),f3(f43(x2533,a1)))
% 0.57/0.90 [254]E(f27(x2541,f21(f43(x2542,a1)),x2542,x2543),f21(f43(x2543,a1)))
% 0.57/0.90 [261]E(f25(f21(f43(x2611,a1)),x2612,x2611,x2613),f21(f43(f45(x2611,x2613),a1)))
% 0.57/0.90 [267]E(f24(f26(f26(x2671,x2672,x2673),x2673,x2672),x2672,x2673),f24(x2671,x2672,x2673))
% 0.57/0.90 [284]E(f25(x2841,f12(f21(f43(x2842,a1)),f43(x2842,a1),x2843),x2843,x2842),f21(f43(f45(x2843,x2842),a1)))
% 0.57/0.90 [354]E(f31(f18(x3541,x3542,f45(x3543,x3543),a1),x3542,x3543,x3543,x3543),f31(x3542,f18(x3541,x3542,f45(x3543,x3543),a1),x3543,x3543,x3543))
% 0.57/0.90 [297]E(f2(f9(f2(x2971,x2972),f2(x2973,x2972),f43(f45(x2972,x2972),a1)),x2972),f2(f9(x2971,x2973,f43(f45(x2972,x2972),a1)),x2972))
% 0.57/0.90 [309]P13(f9(f2(x3091,x3092),f2(x3093,x3092),f43(f45(x3092,x3092),a1)),f2(f9(x3091,x3093,f43(f45(x3092,x3092),a1)),x3092),f43(f45(x3092,x3092),a1))
% 0.57/0.90 [328]E(f31(x3281,f2(f21(f43(f45(x3282,x3282),a1)),x3282),x3283,x3282,x3282),x3281)
% 0.57/0.90 [329]E(f31(f2(f21(f43(f45(x3291,x3291),a1)),x3291),x3292,x3291,x3291,x3293),x3292)
% 0.57/0.90 [198]E(f38(f12(x1981,x1982,x1983),x1984),x1981)
% 0.57/0.90 [270]E(f9(x2701,f9(x2702,x2703,f43(x2704,a1)),f43(x2704,a1)),f9(x2702,f9(x2701,x2703,f43(x2704,a1)),f43(x2704,a1)))
% 0.57/0.90 [271]E(f10(x2711,f10(x2712,x2713,f43(x2714,a1)),f43(x2714,a1)),f10(x2712,f10(x2711,x2713,f43(x2714,a1)),f43(x2714,a1)))
% 0.57/0.90 [272]E(f9(f9(x2721,x2722,f43(x2723,a1)),x2724,f43(x2723,a1)),f9(x2721,f9(x2722,x2724,f43(x2723,a1)),f43(x2723,a1)))
% 0.57/0.90 [273]E(f10(f10(x2731,x2732,f43(x2733,a1)),x2734,f43(x2733,a1)),f10(x2731,f10(x2732,x2734,f43(x2733,a1)),f43(x2733,a1)))
% 0.57/0.90 [274]E(f11(f10(x2741,x2742,f43(x2743,a1)),x2744,f43(x2743,a1)),f10(x2741,f11(x2742,x2744,f43(x2743,a1)),f43(x2743,a1)))
% 0.57/0.90 [287]E(f10(f9(x2871,x2872,f43(x2873,a1)),f9(x2871,x2874,f43(x2873,a1)),f43(x2873,a1)),f9(x2871,f10(x2872,x2874,f43(x2873,a1)),f43(x2873,a1)))
% 0.57/0.90 [288]E(f9(f10(x2881,x2882,f43(x2883,a1)),f10(x2881,x2884,f43(x2883,a1)),f43(x2883,a1)),f10(x2881,f9(x2882,x2884,f43(x2883,a1)),f43(x2883,a1)))
% 0.57/0.90 [289]E(f11(f10(x2891,x2892,f43(x2893,a1)),f10(x2891,x2894,f43(x2893,a1)),f43(x2893,a1)),f10(x2891,f11(x2892,x2894,f43(x2893,a1)),f43(x2893,a1)))
% 0.57/0.90 [290]E(f10(f11(x2901,x2902,f43(x2903,a1)),f11(x2901,x2904,f43(x2903,a1)),f43(x2903,a1)),f11(x2901,f9(x2902,x2904,f43(x2903,a1)),f43(x2903,a1)))
% 0.57/0.90 [291]E(f9(f11(x2911,x2912,f43(x2913,a1)),f11(x2911,x2914,f43(x2913,a1)),f43(x2913,a1)),f11(x2911,f10(x2912,x2914,f43(x2913,a1)),f43(x2913,a1)))
% 0.57/0.90 [292]E(f10(f9(x2921,x2922,f43(x2923,a1)),f9(x2924,x2922,f43(x2923,a1)),f43(x2923,a1)),f9(f10(x2921,x2924,f43(x2923,a1)),x2922,f43(x2923,a1)))
% 0.57/0.90 [293]E(f9(f10(x2931,x2932,f43(x2933,a1)),f10(x2934,x2932,f43(x2933,a1)),f43(x2933,a1)),f10(f9(x2931,x2934,f43(x2933,a1)),x2932,f43(x2933,a1)))
% 0.57/0.90 [294]E(f11(f10(x2941,x2942,f43(x2943,a1)),f10(x2944,x2942,f43(x2943,a1)),f43(x2943,a1)),f10(f11(x2941,x2944,f43(x2943,a1)),x2942,f43(x2943,a1)))
% 0.57/0.90 [295]E(f9(f11(x2951,x2952,f43(x2953,a1)),f11(x2954,x2952,f43(x2953,a1)),f43(x2953,a1)),f11(f9(x2951,x2954,f43(x2953,a1)),x2952,f43(x2953,a1)))
% 0.57/0.90 [296]E(f11(f10(x2961,x2962,f43(x2963,a1)),f10(x2964,x2962,f43(x2963,a1)),f43(x2963,a1)),f11(f10(x2961,x2962,f43(x2963,a1)),x2964,f43(x2963,a1)))
% 0.57/0.90 [301]E(f10(x3011,f13(f21(f43(x3012,a1)),x3013,x3012,f43(x3014,a1)),f43(x3014,a1)),x3011)
% 0.57/0.90 [302]E(f10(f13(f21(f43(x3021,a1)),x3022,x3021,f43(x3023,a1)),x3024,f43(x3023,a1)),x3024)
% 0.57/0.90 [304]E(f11(f13(f21(f43(x3041,a1)),x3042,x3041,f43(x3043,a1)),x3044,f43(x3043,a1)),f11(f3(f43(x3043,a1)),x3044,f43(x3043,a1)))
% 0.57/0.90 [306]E(f26(f30(x3061,x3062,x3063,x3064),x3064,x3064),f30(f26(x3061,x3063,x3063),x3062,x3063,x3064))
% 0.57/0.90 [317]E(f32(x3171,f33(x3171,x3172,x3173,x3174),x3173,x3174),f10(x3172,f32(x3171,f3(f43(x3173,a1)),x3173,x3174),f43(x3174,a1)))
% 0.57/0.90 [330]P13(f32(x3301,f33(x3301,x3302,x3303,x3304),x3303,x3304),x3302,f43(x3304,a1))
% 0.57/0.90 [338]E(f10(f10(f9(x3381,x3382,f43(x3383,a1)),f9(x3382,x3384,f43(x3383,a1)),f43(x3383,a1)),f9(x3384,x3381,f43(x3383,a1)),f43(x3383,a1)),f9(f9(f10(x3381,x3382,f43(x3383,a1)),f10(x3382,x3384,f43(x3383,a1)),f43(x3383,a1)),f10(x3384,x3381,f43(x3383,a1)),f43(x3383,a1)))
% 0.57/0.90 [303]E(f33(x3031,f15(x3032,f43(x3033,a1)),x3034,x3033),f15(f33(x3031,x3032,x3034,x3033),f43(x3034,a1)))
% 0.57/0.90 [331]E(f38(f18(x3311,x3312,x3313,x3313),f38(x3312,x3314)),f38(x3312,f38(f18(x3311,x3312,x3313,x3313),x3314)))
% 0.57/0.90 [286]E(f9(f24(x2861,x2862,x2863),f24(x2864,x2862,x2863),f43(x2862,a1)),f24(f9(x2861,x2864,f43(f45(x2862,x2863),a1)),x2862,x2863))
% 0.57/0.90 [298]E(f9(f26(x2981,x2982,x2983),f26(x2984,x2982,x2983),f43(f45(x2983,x2982),a1)),f26(f9(x2981,x2984,f43(f45(x2982,x2983),a1)),x2982,x2983))
% 0.57/0.90 [299]E(f10(f26(x2991,x2992,x2993),f26(x2994,x2992,x2993),f43(f45(x2993,x2992),a1)),f26(f10(x2991,x2994,f43(f45(x2992,x2993),a1)),x2992,x2993))
% 0.57/0.90 [312]P13(f24(f10(x3121,x3122,f43(f45(x3123,x3124),a1)),x3123,x3124),f10(f24(x3121,x3123,x3124),f24(x3122,x3123,x3124),f43(x3123,a1)),f43(x3123,a1))
% 0.57/0.90 [313]P13(f11(f24(x3131,x3132,x3133),f24(x3134,x3132,x3133),f43(x3132,a1)),f24(f11(x3131,x3134,f43(f45(x3132,x3133),a1)),x3132,x3133),f43(x3132,a1))
% 0.57/0.90 [315]P31(f39(f38(x3151,x3152),f32(x3151,f3(f43(x3153,a1)),x3153,x3154),x3154))
% 0.57/0.90 [318]E(f31(x3181,f21(f43(f45(x3182,x3183),a1)),x3184,x3182,x3183),f21(f43(f45(x3184,x3183),a1)))
% 0.57/0.90 [319]E(f31(f21(f43(f45(x3191,x3192),a1)),x3193,x3191,x3192,x3194),f21(f43(f45(x3191,x3194),a1)))
% 0.57/0.90 [316]E(f9(f24(f26(x3161,x3162,x3163),x3163,x3162),f24(f26(x3164,x3162,x3163),x3163,x3162),f43(x3163,a1)),f24(f26(f9(x3161,x3164,f43(f45(x3162,x3163),a1)),x3162,x3163),x3163,x3162))
% 0.57/0.90 [346]P13(f24(f26(f10(x3461,x3462,f43(f45(x3463,x3464),a1)),x3463,x3464),x3464,x3463),f10(f24(f26(x3461,x3463,x3464),x3464,x3463),f24(f26(x3462,x3463,x3464),x3464,x3463),f43(x3464,a1)),f43(x3464,a1))
% 0.57/0.90 [347]P13(f11(f24(f26(x3471,x3472,x3473),x3473,x3472),f24(f26(x3474,x3472,x3473),x3473,x3472),f43(x3473,a1)),f24(f26(f11(x3471,x3474,f43(f45(x3472,x3473),a1)),x3472,x3473),x3473,x3472),f43(x3473,a1))
% 0.57/0.90 [333]E(f10(f13(x3331,x3332,x3333,f43(x3334,a1)),f13(x3335,x3332,x3333,f43(x3334,a1)),f43(x3334,a1)),f13(f9(x3331,x3335,f43(x3333,a1)),x3332,x3333,f43(x3334,a1)))
% 0.57/0.90 [355]E(f31(f26(x3551,x3552,x3553),f26(x3554,x3555,x3552),x3553,x3552,x3555),f26(f31(x3554,x3551,x3555,x3552,x3553),x3555,x3553))
% 0.57/0.90 [320]E(f9(f32(x3201,x3202,x3203,x3204),f32(x3201,x3205,x3203,x3204),f43(x3204,a1)),f32(x3201,f9(x3202,x3205,f43(x3203,a1)),x3203,x3204))
% 0.57/0.90 [321]E(f9(f33(x3211,x3212,x3213,x3214),f33(x3211,x3215,x3213,x3214),f43(x3213,a1)),f33(x3211,f9(x3212,x3215,f43(x3214,a1)),x3213,x3214))
% 0.57/0.90 [322]E(f10(f33(x3221,x3222,x3223,x3224),f33(x3221,x3225,x3223,x3224),f43(x3223,a1)),f33(x3221,f10(x3222,x3225,f43(x3224,a1)),x3223,x3224))
% 0.57/0.90 [323]E(f11(f33(x3231,x3232,x3233,x3234),f33(x3231,x3235,x3233,x3234),f43(x3233,a1)),f33(x3231,f11(x3232,x3235,f43(x3234,a1)),x3233,x3234))
% 0.57/0.90 [324]E(f9(f27(x3241,x3242,x3243,x3244),f27(x3241,x3245,x3243,x3244),f43(x3244,a1)),f27(x3241,f9(x3242,x3245,f43(x3243,a1)),x3243,x3244))
% 0.57/0.90 [325]E(f9(f25(x3251,x3252,x3253,x3254),f25(x3255,x3252,x3253,x3254),f43(f45(x3253,x3254),a1)),f25(f9(x3251,x3255,f43(x3253,a1)),x3252,x3253,x3254))
% 0.57/0.90 [326]E(f10(f25(x3261,x3262,x3263,x3264),f25(x3265,x3262,x3263,x3264),f43(f45(x3263,x3264),a1)),f25(f10(x3261,x3265,f43(x3263,a1)),x3262,x3263,x3264))
% 0.57/0.90 [327]E(f11(f25(x3271,x3272,x3273,x3274),f25(x3275,x3272,x3273,x3274),f43(f45(x3273,x3274),a1)),f25(f11(x3271,x3275,f43(x3273,a1)),x3272,x3273,x3274))
% 0.57/0.90 [351]P13(f32(x3511,f10(x3512,x3513,f43(x3514,a1)),x3514,x3515),f10(f32(x3511,x3512,x3514,x3515),f32(x3511,x3513,x3514,x3515),f43(x3515,a1)),f43(x3515,a1))
% 0.57/0.90 [352]P13(f27(x3521,f10(x3522,x3523,f43(x3524,a1)),x3524,x3525),f10(f27(x3521,x3522,x3524,x3525),f27(x3521,x3523,x3524,x3525),f43(x3525,a1)),f43(x3525,a1))
% 0.57/0.90 [353]P13(f11(f32(x3531,x3532,x3533,x3534),f32(x3531,x3535,x3533,x3534),f43(x3534,a1)),f32(x3531,f11(x3532,x3535,f43(x3533,a1)),x3533,x3534),f43(x3534,a1))
% 0.57/0.90 [332]E(f9(f27(x3321,x3322,x3323,x3324),f27(x3325,x3322,x3323,x3324),f43(x3324,a1)),f27(f9(x3321,x3325,f43(f45(x3323,x3324),a1)),x3322,x3323,x3324))
% 0.57/0.90 [360]E(f9(f31(x3601,x3602,x3603,x3604,x3605),f31(x3601,x3606,x3603,x3604,x3605),f43(f45(x3603,x3605),a1)),f31(x3601,f9(x3602,x3606,f43(f45(x3604,x3605),a1)),x3603,x3604,x3605))
% 0.57/0.90 [361]E(f9(f31(x3611,x3612,x3613,x3614,x3615),f31(x3616,x3612,x3613,x3614,x3615),f43(f45(x3613,x3615),a1)),f31(f9(x3611,x3616,f43(f45(x3613,x3614),a1)),x3612,x3613,x3614,x3615))
% 0.57/0.90 [362]E(f31(f31(x3621,x3622,x3623,x3624,x3625),x3626,x3623,x3625,x3627),f31(x3621,f31(x3622,x3626,x3624,x3625,x3627),x3623,x3624,x3627))
% 0.57/0.90 [371]~P2(x3711)+E(f15(f21(x3711),x3711),f3(x3711))
% 0.57/0.90 [372]~P2(x3721)+E(f15(f3(x3721),x3721),f21(x3721))
% 0.57/0.90 [414]~P1(x4141)+E(f38(f21(f43(a41,x4141)),a44),f21(x4141))
% 0.57/0.90 [415]~P29(x4151)+E(f38(f3(f43(a41,x4151)),a44),f3(x4151))
% 0.57/0.90 [416]~P3(x4161)+E(f14(f21(f43(x4161,a1)),x4161),f21(x4161))
% 0.57/0.90 [417]~P3(x4171)+E(f14(f3(f43(x4171,a1)),x4171),f3(x4171))
% 0.57/0.90 [370]~P15(x3702)+P5(x3701,x3702)
% 0.57/0.90 [396]~P27(x3962)+P13(x3961,x3961,x3962)
% 0.57/0.90 [397]~P30(x3972)+P13(x3971,x3971,x3972)
% 0.57/0.90 [373]~P1(x3732)+P1(f43(x3731,x3732))
% 0.57/0.90 [374]~P2(x3742)+P2(f43(x3741,x3742))
% 0.57/0.90 [375]~P18(x3752)+P18(f43(x3751,x3752))
% 0.57/0.90 [376]~P3(x3762)+P3(f43(x3761,x3762))
% 0.57/0.90 [377]~P19(x3772)+P19(f43(x3771,x3772))
% 0.57/0.90 [378]~P20(x3782)+P20(f43(x3781,x3782))
% 0.57/0.90 [379]~P19(x3792)+P21(f43(x3791,x3792))
% 0.57/0.90 [380]~P19(x3802)+P22(f43(x3801,x3802))
% 0.57/0.90 [381]~P27(x3812)+P27(f43(x3811,x3812))
% 0.57/0.90 [382]~P14(x3822)+P14(f43(x3821,x3822))
% 0.57/0.90 [383]~P16(x3832)+P16(f43(x3831,x3832))
% 0.57/0.90 [384]~P29(x3842)+P29(f43(x3841,x3842))
% 0.57/0.90 [385]~P30(x3852)+P30(f43(x3851,x3852))
% 0.57/0.90 [386]~P17(x3862)+P17(f43(x3861,x3862))
% 0.57/0.90 [398]P12(x3981,x3982)+~P31(f36(x3981,x3982))
% 0.57/0.90 [399]~P21(x3992)+E(f9(x3991,x3991,x3992),x3991)
% 0.57/0.90 [400]~P22(x4002)+E(f10(x4001,x4001,x4002),x4001)
% 0.57/0.90 [401]~P12(x4011,x4012)+P8(f2(x4011,x4012),x4012)
% 0.57/0.90 [402]~P10(x4021,x4022)+P10(f2(x4021,x4022),x4022)
% 0.57/0.90 [403]~P29(x4032)+P13(x4031,f3(x4032),x4032)
% 0.57/0.90 [404]~P1(x4041)+P13(f21(x4041),x4042,x4041)
% 0.57/0.90 [418]~P10(x4181,x4182)+E(f26(x4181,x4182,x4182),x4181)
% 0.57/0.90 [426]P10(x4261,x4262)+~E(f26(x4261,x4262,x4262),x4261)
% 0.57/0.90 [440]~P8(x4401,x4402)+P8(f26(x4401,x4402,x4402),x4402)
% 0.57/0.90 [441]~P10(x4411,x4412)+P10(f26(x4411,x4412,x4412),x4412)
% 0.57/0.90 [442]~P12(x4421,x4422)+P12(f26(x4421,x4422,x4422),x4422)
% 0.57/0.90 [485]P8(x4851,x4852)+~P8(f26(x4851,x4852,x4852),x4852)
% 0.57/0.90 [486]P10(x4861,x4862)+~P10(f26(x4861,x4862,x4862),x4862)
% 0.57/0.90 [487]P12(x4871,x4872)+~P12(f26(x4871,x4872,x4872),x4872)
% 0.57/0.90 [391]~P2(x3912)+E(f15(f15(x3911,x3912),x3912),x3911)
% 0.57/0.90 [393]~P23(x3932)+E(f15(f15(x3931,x3932),x3932),x3931)
% 0.57/0.90 [405]~P18(x4052)+E(f9(x4051,f21(x4052),x4052),x4051)
% 0.57/0.90 [406]~P18(x4062)+E(f10(x4061,f3(x4062),x4062),x4061)
% 0.57/0.90 [407]~P18(x4071)+E(f9(f21(x4071),x4072,x4071),x4072)
% 0.57/0.90 [408]~P18(x4081)+E(f10(f3(x4081),x4082,x4081),x4082)
% 0.57/0.90 [409]~P18(x4092)+E(f9(x4091,f3(x4092),x4092),f3(x4092))
% 0.57/0.90 [410]~P18(x4102)+E(f10(x4101,f21(x4102),x4102),f21(x4102))
% 0.57/0.90 [411]~P18(x4111)+E(f9(f3(x4111),x4112,x4111),f3(x4111))
% 0.57/0.90 [412]~P18(x4121)+E(f10(f21(x4121),x4122,x4121),f21(x4121))
% 0.57/0.90 [420]~P2(x4202)+E(f9(x4201,f15(x4201,x4202),x4202),f3(x4202))
% 0.57/0.90 [421]~P2(x4212)+E(f10(x4211,f15(x4211,x4212),x4212),f21(x4212))
% 0.57/0.90 [422]~P2(x4222)+E(f9(f15(x4221,x4222),x4221,x4222),f3(x4222))
% 0.57/0.90 [423]~P2(x4232)+E(f10(f15(x4231,x4232),x4231,x4232),f21(x4232))
% 0.57/0.90 [506]~P13(x5061,f21(f43(x5062,a1)),f43(x5062,a1))+E(x5061,f21(f43(x5062,a1)))
% 0.57/0.90 [526]~P13(x5261,f15(x5261,f43(x5262,a1)),f43(x5262,a1))+E(x5261,f21(f43(x5262,a1)))
% 0.57/0.90 [538]~P31(f23(x5381,x5382))+P31(f23(f26(x5381,x5382,x5382),x5382))
% 0.57/0.90 [588]P31(f23(x5881,x5882))+~P31(f23(f26(x5881,x5882,x5882),x5882))
% 0.57/0.90 [691]~P31(f23(x6911,x6912))+E(f31(x6911,f2(x6911,x6912),x6912,x6912,x6912),x6911)
% 0.57/0.90 [735]~P10(x7351,x7352)+P10(f31(x7351,f2(x7351,x7352),x7352,x7352,x7352),x7352)
% 0.57/0.90 [736]P13(f31(x7361,x7361,x7362,x7362,x7362),x7361,f43(f45(x7362,x7362),a1))+~P31(f23(x7361,x7362))
% 0.57/0.90 [748]~P31(f36(x7481,x7482))+P31(f36(f31(x7481,x7481,x7482,x7482,x7482),x7482))
% 0.57/0.90 [755]P31(f36(x7551,x7552))+~P31(f36(f31(x7551,x7551,x7552,x7552,x7552),x7552))
% 0.57/0.90 [438]~P14(x4382)+E(f38(f15(x4381,f43(a41,x4382)),a44),f15(f38(x4381,a44),x4382))
% 0.57/0.90 [674]~P8(x6741,x6742)+P8(f9(x6741,f2(f21(f43(f45(x6742,x6742),a1)),x6742),f43(f45(x6742,x6742),a1)),x6742)
% 0.57/0.90 [703]P8(x7031,x7032)+~P8(f9(x7031,f2(f21(f43(f45(x7032,x7032),a1)),x7032),f43(f45(x7032,x7032),a1)),x7032)
% 0.57/0.90 [722]P31(f36(x7221,x7222))+~E(f31(x7221,x7221,x7222,x7222,x7222),f21(f43(f45(x7222,x7222),a1)))
% 0.57/0.90 [749]~P31(f36(x7491,x7492))+P31(f36(f31(x7491,f2(x7491,x7492),x7492,x7492,x7492),x7492))
% 0.57/0.90 [715]~P31(f23(x7151,x7152))+P31(f23(f9(x7151,f2(f21(f43(f45(x7152,x7152),a1)),x7152),f43(f45(x7152,x7152),a1)),x7152))
% 0.57/0.90 [756]~P31(f36(f26(x7561,x7562,x7562),x7562))+P31(f36(f26(f31(x7561,f2(x7561,x7562),x7562,x7562,x7562),x7562,x7562),x7562))
% 0.57/0.90 [419]E(x4191,x4192)+~P4(x4191,x4192,x4193)
% 0.57/0.90 [432]~P19(x4323)+E(f9(x4321,x4322,x4323),f9(x4322,x4321,x4323))
% 0.57/0.90 [433]~P21(x4333)+E(f9(x4331,x4332,x4333),f9(x4332,x4331,x4333))
% 0.57/0.90 [434]~P19(x4343)+E(f10(x4341,x4342,x4343),f10(x4342,x4341,x4343))
% 0.57/0.90 [435]~P22(x4353)+E(f10(x4351,x4352,x4353),f10(x4352,x4351,x4353))
% 0.57/0.90 [450]~P31(f38(x4502,x4501))+P31(f39(x4501,x4502,x4503))
% 0.57/0.90 [455]~P19(x4553)+P13(x4551,f9(x4552,x4551,x4553),x4553)
% 0.57/0.90 [456]~P21(x4563)+P13(x4561,f9(x4562,x4561,x4563),x4563)
% 0.57/0.90 [457]~P19(x4573)+P13(x4571,f9(x4571,x4572,x4573),x4573)
% 0.57/0.90 [458]~P21(x4583)+P13(x4581,f9(x4581,x4582,x4583),x4583)
% 0.57/0.90 [459]~P19(x4593)+P13(f10(x4591,x4592,x4593),x4592,x4593)
% 0.57/0.90 [460]~P22(x4603)+P13(f10(x4601,x4602,x4603),x4602,x4603)
% 0.57/0.90 [461]~P19(x4613)+P13(f10(x4611,x4612,x4613),x4611,x4613)
% 0.57/0.90 [462]~P22(x4623)+P13(f10(x4621,x4622,x4623),x4621,x4623)
% 0.57/0.90 [471]P8(x4711,x4712)+~P31(f20(x4713,x4711,x4712))
% 0.57/0.90 [489]P31(f38(x4891,x4892))+~P31(f39(x4892,x4891,x4893))
% 0.57/0.90 [520]~P7(x5201,x5202,x5203)+P7(x5201,f26(x5202,x5203,x5203),x5203)
% 0.57/0.90 [533]~P31(f17(x5331,x5332,x5333))+P31(f20(x5331,x5332,x5333))
% 0.57/0.90 [534]~P31(f22(x5341,x5342,x5343))+P31(f17(x5341,x5342,x5343))
% 0.57/0.90 [535]~P31(f17(x5351,x5352,x5353))+P31(f28(x5351,x5352,x5353))
% 0.57/0.90 [541]P7(x5411,x5412,x5413)+~P7(x5411,f26(x5412,x5413,x5413),x5413)
% 0.57/0.90 [424]~P31(f38(x4241,x4243))+~E(x4241,f21(f43(x4242,a1)))
% 0.57/0.90 [425]~P31(f38(x4252,x4253))+~E(f21(f43(x4251,a1)),x4252)
% 0.57/0.90 [437]E(x4371,x4372)+~E(f15(x4371,f43(x4373,a1)),f15(x4372,f43(x4373,a1)))
% 0.57/0.90 [439]~P2(x4393)+E(f10(x4391,f15(x4392,x4393),x4393),f11(x4391,x4392,x4393))
% 0.57/0.90 [453]P31(f23(x4531,x4532))+~P31(f38(f4(x4533,x4532),x4531))
% 0.57/0.90 [454]P31(f29(x4541,x4542))+~P31(f38(f4(x4543,x4542),x4541))
% 0.57/0.90 [463]~P19(x4633)+E(f9(x4631,f10(x4631,x4632,x4633),x4633),x4631)
% 0.57/0.90 [464]~P19(x4643)+E(f10(x4641,f9(x4641,x4642,x4643),x4643),x4641)
% 0.57/0.90 [470]~P24(x4703)+E(f15(f11(x4701,x4702,x4703),x4703),f11(x4702,x4701,x4703))
% 0.57/0.90 [472]~P5(x4722,x4723)+P5(f10(x4721,x4722,f43(x4723,a1)),x4723)
% 0.57/0.90 [473]~P5(x4731,x4733)+P5(f10(x4731,x4732,f43(x4733,a1)),x4733)
% 0.57/0.90 [474]~P5(x4741,x4743)+P5(f11(x4741,x4742,f43(x4743,a1)),x4743)
% 0.57/0.90 [475]E(x4751,f21(f43(x4752,a1)))+~E(f9(x4753,x4751,f43(x4752,a1)),f21(f43(x4752,a1)))
% 0.57/0.90 [476]E(x4761,f21(f43(x4762,a1)))+~E(f9(x4761,x4763,f43(x4762,a1)),f21(f43(x4762,a1)))
% 0.57/0.90 [480]~P13(x4801,x4802,f43(x4803,a1))+E(f9(x4801,x4802,f43(x4803,a1)),x4802)
% 0.57/0.90 [481]~P13(x4812,x4811,f43(x4813,a1))+E(f9(x4811,x4812,f43(x4813,a1)),x4811)
% 0.57/0.90 [482]~P13(x4822,x4821,f43(x4823,a1))+E(f10(x4821,x4822,f43(x4823,a1)),x4822)
% 0.57/0.90 [483]~P13(x4831,x4832,f43(x4833,a1))+E(f10(x4831,x4832,f43(x4833,a1)),x4831)
% 0.57/0.90 [484]P13(x4841,x4842,f43(x4843,a1))+~E(f9(x4841,x4842,f43(x4843,a1)),x4842)
% 0.57/0.90 [500]~P19(x5003)+E(f9(x5001,f9(x5001,x5002,x5003),x5003),f9(x5001,x5002,x5003))
% 0.57/0.90 [501]~P21(x5013)+E(f9(x5011,f9(x5011,x5012,x5013),x5013),f9(x5011,x5012,x5013))
% 0.57/0.90 [502]~P19(x5023)+E(f10(x5021,f10(x5021,x5022,x5023),x5023),f10(x5021,x5022,x5023))
% 0.57/0.90 [503]~P22(x5033)+E(f10(x5031,f10(x5031,x5032,x5033),x5033),f10(x5031,x5032,x5033))
% 0.57/0.90 [507]~P2(x5072)+E(f10(f15(x5071,x5072),f15(x5073,x5072),x5072),f15(f9(x5071,x5073,x5072),x5072))
% 0.57/0.90 [508]~P26(x5082)+E(f10(f15(x5081,x5082),f15(x5083,x5082),x5082),f15(f9(x5081,x5083,x5082),x5082))
% 0.57/0.90 [509]~P2(x5092)+E(f9(f15(x5091,x5092),f15(x5093,x5092),x5092),f15(f10(x5091,x5093,x5092),x5092))
% 0.57/0.90 [510]~P26(x5102)+E(f9(f15(x5101,x5102),f15(x5103,x5102),x5102),f15(f10(x5101,x5103,x5102),x5102))
% 0.57/0.90 [513]P31(f28(x5131,x5132,x5133))+~P31(f38(f4(x5131,x5133),x5132))
% 0.57/0.90 [517]E(f11(x5171,x5172,f43(x5173,a1)),x5171)+~E(f10(x5171,x5172,f43(x5173,a1)),f21(f43(x5173,a1)))
% 0.57/0.90 [530]P5(x5301,x5302)+~P5(f9(x5303,x5301,f43(x5302,a1)),x5302)
% 0.57/0.90 [531]P5(x5311,x5312)+~P5(f9(x5311,x5313,f43(x5312,a1)),x5312)
% 0.57/0.90 [539]~P31(f36(x5392,x5393))+P31(f36(f37(x5391,x5392,x5393),x5393))
% 0.57/0.90 [542]P13(x5421,f15(x5422,f43(x5423,a1)),f43(x5423,a1))+~E(f10(x5421,x5422,f43(x5423,a1)),f21(f43(x5423,a1)))
% 0.57/0.90 [564]~P13(x5641,f15(x5642,f43(x5643,a1)),f43(x5643,a1))+E(f10(x5641,x5642,f43(x5643,a1)),f21(f43(x5643,a1)))
% 0.57/0.90 [572]~P13(x5723,x5721,f43(x5722,a1))+P13(f15(x5721,f43(x5722,a1)),f15(x5723,f43(x5722,a1)),f43(x5722,a1))
% 0.57/0.90 [575]~P13(x5751,x5752,f43(x5753,a1))+E(f9(x5751,f11(x5752,x5751,f43(x5753,a1)),f43(x5753,a1)),x5752)
% 0.57/0.90 [581]~P13(x5811,x5813,f43(f45(x5812,x5812),a1))+P13(f2(x5811,x5812),f2(x5813,x5812),f43(f45(x5812,x5812),a1))
% 0.57/0.90 [589]P13(x5891,x5892,f43(x5893,a1))+~P13(f15(x5892,f43(x5893,a1)),f15(x5891,f43(x5893,a1)),f43(x5893,a1))
% 0.57/0.90 [590]~P13(x5901,f2(x5903,x5902),f43(f45(x5902,x5902),a1))+P13(f2(x5901,x5902),f2(x5903,x5902),f43(f45(x5902,x5902),a1))
% 0.57/0.90 [616]~P31(f20(x6161,x6162,x6163))+P31(f20(x6161,f26(x6162,x6163,x6163),x6163))
% 0.57/0.90 [617]~P31(f17(x6171,x6172,x6173))+P31(f17(x6171,f26(x6172,x6173,x6173),x6173))
% 0.57/0.90 [618]~P31(f28(x6181,x6182,x6183))+P31(f28(x6181,f26(x6182,x6183,x6183),x6183))
% 0.57/0.90 [635]P31(f20(x6351,x6352,x6353))+~P31(f20(x6351,f26(x6352,x6353,x6353),x6353))
% 0.57/0.90 [636]P31(f17(x6361,x6362,x6363))+~P31(f17(x6361,f26(x6362,x6363,x6363),x6363))
% 0.57/0.90 [637]P31(f28(x6371,x6372,x6373))+~P31(f28(x6371,f26(x6372,x6373,x6373),x6373))
% 0.57/0.90 [645]~P11(x6452,x6453,x6453)+P11(f18(x6451,x6452,f45(x6453,x6453),a1),x6453,x6453)
% 0.57/0.90 [740]~P7(x7403,x7401,x7402)+P13(x7401,f31(f26(x7401,x7402,x7402),x7401,x7402,x7402,x7402),f43(f45(x7402,x7402),a1))
% 0.57/0.90 [491]~E(f24(x4911,x4912,x4913),f21(f43(x4912,a1)))+E(x4911,f21(f43(f45(x4912,x4913),a1)))
% 0.57/0.90 [527]~P19(x5273)+E(f9(f38(x5271,a44),f38(x5272,a44),x5273),f38(f9(x5271,x5272,f43(a41,x5273)),a44))
% 0.57/0.90 [528]~P19(x5283)+E(f10(f38(x5281,a44),f38(x5282,a44),x5283),f38(f10(x5281,x5282,f43(a41,x5283)),a44))
% 0.57/0.90 [529]~P17(x5293)+E(f11(f38(x5291,a44),f38(x5292,a44),x5293),f38(f11(x5291,x5292,f43(a41,x5293)),a44))
% 0.57/0.90 [536]~P26(x5362)+E(f15(f10(f15(x5361,x5362),f15(x5363,x5362),x5362),x5362),f9(x5361,x5363,x5362))
% 0.57/0.90 [537]~P26(x5372)+E(f15(f9(f15(x5371,x5372),f15(x5373,x5372),x5372),x5372),f10(x5371,x5373,x5372))
% 0.57/0.90 [576]P31(f39(x5761,x5762,x5763))+P31(f39(x5761,f15(x5762,f43(x5763,a1)),x5763))
% 0.57/0.90 [578]~E(f24(f26(x5781,x5782,x5783),x5783,x5782),f21(f43(x5783,a1)))+E(x5781,f21(f43(f45(x5782,x5783),a1)))
% 0.57/0.90 [626]~P31(f39(x6261,x6262,x6263))+~P31(f39(x6261,f15(x6262,f43(x6263,a1)),x6263))
% 0.57/0.90 [677]~P7(x6772,x6771,x6773)+P13(x6771,f25(x6772,f12(x6772,f43(x6773,a1),x6773),x6773,x6773),f43(f45(x6773,x6773),a1))
% 0.57/0.90 [708]P31(f36(x7081,x7082))+~P31(f36(f18(x7083,x7081,f45(x7082,x7082),a1),x7082))
% 0.57/0.90 [747]~P13(x7471,f25(x7473,f12(x7473,f43(x7472,a1),x7472),x7472,x7472),f43(f45(x7472,x7472),a1))+P13(f31(x7471,f2(x7471,x7472),x7472,x7472,x7472),f25(x7473,f12(x7473,f43(x7472,a1),x7472),x7472,x7472),f43(f45(x7472,x7472),a1))
% 0.57/0.90 [629]~P31(f36(x6292,x6293))+P31(f36(f10(x6291,x6292,f43(f45(x6293,x6293),a1)),x6293))
% 0.57/0.90 [630]~P31(f36(x6301,x6303))+P31(f36(f10(x6301,x6302,f43(f45(x6303,x6303),a1)),x6303))
% 0.57/0.90 [723]~P31(f22(x7233,x7231,x7232))+P31(f36(f11(x7231,f2(f21(f43(f45(x7232,x7232),a1)),x7232),f43(f45(x7232,x7232),a1)),x7232))
% 0.57/0.90 [726]~P31(f17(x7261,x7263,x7262))+P31(f38(f4(x7261,x7262),f11(x7263,f2(f21(f43(f45(x7262,x7262),a1)),x7262),f43(f45(x7262,x7262),a1))))
% 0.57/0.90 [727]~P31(f28(x7271,x7272,x7273))+P31(f28(x7271,f11(x7272,f2(f21(f43(f45(x7273,x7273),a1)),x7273),f43(f45(x7273,x7273),a1)),x7273))
% 0.57/0.90 [742]P31(f28(x7421,x7422,x7423))+~P31(f28(x7421,f11(x7422,f2(f21(f43(f45(x7423,x7423),a1)),x7423),f43(f45(x7423,x7423),a1)),x7423))
% 0.57/0.90 [758]~P31(f36(f9(x7581,x7583,f43(f45(x7582,x7582),a1)),x7582))+P31(f36(f9(f9(f31(x7581,x7581,x7582,x7582,x7582),f31(x7583,x7581,x7582,x7582,x7582),f43(f45(x7582,x7582),a1)),x7583,f43(f45(x7582,x7582),a1)),x7582))
% 0.57/0.90 [759]~P31(f36(f9(f9(f31(x7591,x7591,x7593,x7593,x7593),f31(x7592,x7591,x7593,x7593,x7593),f43(f45(x7593,x7593),a1)),x7592,f43(f45(x7593,x7593),a1)),x7593))+P31(f36(f9(x7591,x7592,f43(f45(x7593,x7593),a1)),x7593))
% 0.57/0.90 [621]~P10(x6211,x6213)+P10(f30(x6211,x6212,x6213,x6214),x6214)
% 0.57/0.90 [622]~P5(x6222,x6223)+P5(f32(x6221,x6222,x6223,x6224),x6224)
% 0.57/0.90 [556]~P19(x5564)+E(f9(x5561,f9(x5562,x5563,x5564),x5564),f9(x5562,f9(x5561,x5563,x5564),x5564))
% 0.57/0.90 [557]~P21(x5574)+E(f9(x5571,f9(x5572,x5573,x5574),x5574),f9(x5572,f9(x5571,x5573,x5574),x5574))
% 0.57/0.90 [558]~P19(x5584)+E(f10(x5581,f10(x5582,x5583,x5584),x5584),f10(x5582,f10(x5581,x5583,x5584),x5584))
% 0.57/0.90 [559]~P22(x5594)+E(f10(x5591,f10(x5592,x5593,x5594),x5594),f10(x5592,f10(x5591,x5593,x5594),x5594))
% 0.57/0.90 [560]~P19(x5603)+E(f9(f9(x5601,x5602,x5603),x5604,x5603),f9(x5601,f9(x5602,x5604,x5603),x5603))
% 0.57/0.90 [561]~P21(x5613)+E(f9(f9(x5611,x5612,x5613),x5614,x5613),f9(x5611,f9(x5612,x5614,x5613),x5613))
% 0.57/0.90 [562]~P19(x5623)+E(f10(f10(x5621,x5622,x5623),x5624,x5623),f10(x5621,f10(x5622,x5624,x5623),x5623))
% 0.57/0.90 [563]~P22(x5633)+E(f10(f10(x5631,x5632,x5633),x5634,x5633),f10(x5631,f10(x5632,x5634,x5633),x5633))
% 0.57/0.90 [592]~P20(x5923)+E(f10(f9(x5921,x5922,x5923),f9(x5921,x5924,x5923),x5923),f9(x5921,f10(x5922,x5924,x5923),x5923))
% 0.57/0.90 [593]~P20(x5933)+E(f9(f10(x5931,x5932,x5933),f10(x5931,x5934,x5933),x5933),f10(x5931,f9(x5932,x5934,x5933),x5933))
% 0.57/0.90 [594]~P20(x5943)+E(f10(f9(x5941,x5942,x5943),f9(x5944,x5942,x5943),x5943),f9(f10(x5941,x5944,x5943),x5942,x5943))
% 0.57/0.90 [595]~P20(x5953)+E(f9(f10(x5951,x5952,x5953),f10(x5954,x5952,x5953),x5953),f10(f9(x5951,x5954,x5953),x5952,x5953))
% 0.57/0.90 [596]P13(x5961,x5962,f43(x5963,a1))+~P13(x5961,f10(x5964,x5962,f43(x5963,a1)),f43(x5963,a1))
% 0.57/0.90 [597]P13(x5971,x5972,f43(x5973,a1))+~P13(x5971,f10(x5972,x5974,f43(x5973,a1)),f43(x5973,a1))
% 0.57/0.90 [598]P13(x5981,x5982,f43(x5983,a1))+~P13(f9(x5984,x5981,f43(x5983,a1)),x5982,f43(x5983,a1))
% 0.57/0.90 [599]P13(x5991,x5992,f43(x5993,a1))+~P13(f9(x5991,x5994,f43(x5993,a1)),x5992,f43(x5993,a1))
% 0.57/0.90 [600]E(f13(x6001,f12(x6003,f43(x6004,a1),x6002),x6002,f43(x6004,a1)),x6003)+E(x6001,f21(f43(x6002,a1)))
% 0.57/0.90 [602]~E(f32(x6023,x6021,x6022,x6024),f21(f43(x6024,a1)))+E(x6021,f21(f43(x6022,a1)))
% 0.57/0.90 [614]P31(f39(x6141,x6144,x6142))+E(f33(f12(x6141,x6142,x6143),x6144,x6143,x6142),f21(f43(x6143,a1)))
% 0.57/0.90 [615]P13(f24(x6151,x6152,x6153),f24(x6154,x6152,x6153),f43(x6152,a1))+~P13(x6151,x6154,f43(f45(x6152,x6153),a1))
% 0.57/0.90 [623]~P31(f39(x6231,x6234,x6232))+E(f33(f12(x6231,x6232,x6233),x6234,x6233,x6232),f3(f43(x6233,a1)))
% 0.57/0.90 [627]~P13(x6273,x6271,f43(x6274,a1))+E(f10(x6271,f9(x6272,x6273,f43(x6274,a1)),f43(x6274,a1)),f9(f10(x6271,x6272,f43(x6274,a1)),x6273,f43(x6274,a1)))
% 0.57/0.90 [633]~P13(f11(x6331,x6332,f43(x6334,a1)),x6333,f43(x6334,a1))+P13(x6331,f9(x6332,x6333,f43(x6334,a1)),f43(x6334,a1))
% 0.57/0.90 [634]~P13(x6341,f9(x6342,x6344,f43(x6343,a1)),f43(x6343,a1))+P13(f11(x6341,x6342,f43(x6343,a1)),x6344,f43(x6343,a1))
% 0.57/0.90 [665]P13(x6651,x6652,f43(x6653,a1))+~E(f10(x6652,f9(x6654,x6651,f43(x6653,a1)),f43(x6653,a1)),f9(f10(x6652,x6654,f43(x6653,a1)),x6651,f43(x6653,a1)))
% 0.57/0.90 [671]~P19(x6714)+P13(f9(x6711,f10(x6712,x6713,x6714),x6714),f10(f9(x6711,x6712,x6714),f9(x6711,x6713,x6714),x6714),x6714)
% 0.57/0.90 [672]~P19(x6723)+P13(f9(f10(x6721,x6722,x6723),f10(x6721,x6724,x6723),x6723),f10(x6721,f9(x6722,x6724,x6723),x6723),x6723)
% 0.57/0.90 [678]~P31(f23(x6781,x6783))+P31(f23(f30(x6781,x6782,x6783,x6784),x6784))
% 0.57/0.90 [679]~P31(f36(x6791,x6793))+P31(f36(f30(x6791,x6792,x6793,x6794),x6794))
% 0.57/0.90 [687]~P9(x6871,f3(f43(x6873,a1)),x6873,x6874)+E(f33(x6871,f32(x6871,x6872,x6873,x6874),x6873,x6874),x6872)
% 0.57/0.90 [579]~P31(f38(x5792,x5794))+P31(f38(f9(x5791,x5792,f43(x5793,a1)),x5794))
% 0.57/0.90 [580]~P31(f38(x5801,x5804))+P31(f38(f9(x5801,x5802,f43(x5803,a1)),x5804))
% 0.57/0.90 [624]P31(f38(x6241,x6242))+~P31(f38(f10(x6243,x6241,f43(x6244,a1)),x6242))
% 0.57/0.90 [625]P31(f38(x6251,x6252))+~P31(f38(f10(x6251,x6253,f43(x6254,a1)),x6252))
% 0.57/0.90 [631]~P31(f39(x6311,x6313,x6314))+P31(f39(x6311,f9(x6312,x6313,f43(x6314,a1)),x6314))
% 0.57/0.90 [632]~P31(f39(x6321,x6322,x6324))+P31(f39(x6321,f9(x6322,x6323,f43(x6324,a1)),x6324))
% 0.57/0.90 [648]P31(f38(x6481,x6482))+~P31(f39(x6482,f10(x6483,x6481,f43(x6484,a1)),x6484))
% 0.57/0.90 [653]P31(f39(x6531,x6532,x6533))+~P31(f39(x6531,f10(x6534,x6532,f43(x6533,a1)),x6533))
% 0.57/0.90 [655]P31(f39(x6551,x6552,x6553))+~P31(f39(x6551,f10(x6552,x6554,f43(x6553,a1)),x6553))
% 0.57/0.90 [656]P31(f39(x6561,x6562,x6563))+~P31(f39(x6561,f11(x6562,x6564,f43(x6563,a1)),x6563))
% 0.57/0.90 [667]~P31(f39(x6671,x6672,x6673))+~P31(f39(x6671,f11(x6674,x6672,f43(x6673,a1)),x6673))
% 0.57/0.90 [732]~P9(x7321,f3(f43(x7323,a1)),x7323,x7324)+P13(f32(x7321,f15(x7322,f43(x7323,a1)),x7323,x7324),f15(f32(x7321,x7322,x7323,x7324),f43(x7324,a1)),f43(x7324,a1))
% 0.57/0.90 [684]~P13(x6842,x6845,f43(x6843,a1))+P13(f32(x6841,x6842,x6843,x6844),f32(x6841,x6845,x6843,x6844),f43(x6844,a1))
% 0.57/0.90 [685]~P13(x6852,x6855,f43(x6854,a1))+P13(f33(x6851,x6852,x6853,x6854),f33(x6851,x6855,x6853,x6854),f43(x6853,a1))
% 0.57/0.90 [663]~P9(x6631,x6632,x6634,x6635)+P9(x6631,f11(x6632,x6633,f43(x6634,a1)),x6634,x6635)
% 0.57/0.90 [666]P13(f13(x6661,x6662,x6663,f43(x6664,a1)),f38(x6662,x6665),f43(x6664,a1))+~P31(f39(x6665,x6661,x6663))
% 0.57/0.90 [668]P9(x6681,x6682,x6683,x6684)+~P9(x6681,f9(x6685,x6682,f43(x6683,a1)),x6683,x6684)
% 0.57/0.90 [669]P9(x6691,x6692,x6693,x6694)+~P9(x6691,f9(x6692,x6695,f43(x6693,a1)),x6693,x6694)
% 0.57/0.90 [680]~P31(f39(x6802,x6803,x6804))+E(f10(f38(x6801,x6802),f13(x6803,x6801,x6804,f43(x6805,a1)),f43(x6805,a1)),f13(x6803,x6801,x6804,f43(x6805,a1)))
% 0.57/0.90 [681]~P31(f38(x6812,f38(x6811,x6815)))+P31(f38(f33(x6811,x6812,x6813,x6814),x6815))
% 0.57/0.90 [695]~P31(f39(x6952,x6953,x6954))+P31(f39(f38(x6951,x6952),f32(x6951,x6953,x6954,x6955),x6955))
% 0.57/0.90 [698]~P31(f39(f38(x6982,x6981),x6983,x6985))+P31(f39(x6981,f33(x6982,x6983,x6984,x6985),x6984))
% 0.57/0.90 [706]P31(f38(x7061,f38(x7062,x7063)))+~P31(f38(f33(x7062,x7061,x7064,x7065),x7063))
% 0.57/0.90 [711]~P31(f39(x7112,f33(x7111,x7113,x7115,x7114),x7115))+P31(f39(f38(x7111,x7112),x7113,x7114))
% 0.57/0.90 [733]~P9(x7331,f9(x7332,x7333,f43(x7334,a1)),x7334,x7335)+E(f10(f32(x7331,f11(x7332,x7333,f43(x7334,a1)),x7334,x7335),f32(x7331,f11(x7333,x7332,f43(x7334,a1)),x7334,x7335),f43(x7335,a1)),f21(f43(x7335,a1)))
% 0.57/0.90 [738]~P13(f27(x7382,x7381,x7383,x7384),x7385,f43(x7384,a1))+P13(x7381,f15(f27(f26(x7382,x7383,x7384),f15(x7385,f43(x7384,a1)),x7384,x7383),f43(x7383,a1)),f43(x7383,a1))
% 0.57/0.90 [744]P13(f27(x7441,x7442,x7443,x7444),x7445,f43(x7444,a1))+~P13(x7442,f15(f27(f26(x7441,x7443,x7444),f15(x7445,f43(x7444,a1)),x7444,x7443),f43(x7443,a1)),f43(x7443,a1))
% 0.57/0.90 [707]~P11(f26(x7071,x7073,x7074),x7074,x7073)+E(f10(f27(x7071,x7072,x7073,x7074),f27(x7071,x7075,x7073,x7074),f43(x7074,a1)),f27(x7071,f10(x7072,x7075,f43(x7073,a1)),x7073,x7074))
% 0.57/0.90 [712]~P9(x7121,f3(f43(x7123,a1)),x7123,x7124)+E(f10(f32(x7121,x7122,x7123,x7124),f32(x7121,x7125,x7123,x7124),f43(x7124,a1)),f32(x7121,f10(x7122,x7125,f43(x7123,a1)),x7123,x7124))
% 0.57/0.90 [713]~P9(x7131,f3(f43(x7133,a1)),x7133,x7134)+E(f11(f32(x7131,x7132,x7133,x7134),f32(x7131,x7135,x7133,x7134),f43(x7134,a1)),f32(x7131,f11(x7132,x7135,f43(x7133,a1)),x7133,x7134))
% 0.57/0.90 [721]P13(f27(x7211,x7212,x7213,x7214),x7215,f43(x7214,a1))+~P13(x7211,f25(x7216,f12(x7215,f43(x7214,a1),x7213),x7213,x7214),f43(f45(x7213,x7214),a1))
% 0.57/0.90 [760]~P6(x7604,x7601,x7605,x7606,x7607,x7608,x7603,x7609,x7602)+E(f38(x7601,f21(f43(x7602,a1))),x7603)
% 0.57/0.90 [761]~P6(x7611,x7614,x7615,x7616,x7617,x7618,x7619,x7613,x7612)+E(f38(x7611,f21(f43(x7612,a1))),x7613)
% 0.57/0.90 [762]~P6(x7624,x7621,x7625,x7626,x7627,x7628,x7629,x7623,x7622)+E(f38(x7621,f3(f43(x7622,a1))),x7623)
% 0.57/0.90 [763]~P6(x7631,x7634,x7635,x7636,x7637,x7638,x7633,x7639,x7632)+E(f38(x7631,f3(f43(x7632,a1))),x7633)
% 0.57/0.90 [387]~P15(x3872)+~P15(x3871)+P15(f45(x3871,x3872))
% 0.57/0.90 [388]~P15(x3882)+~P15(x3881)+P15(f43(x3881,x3882))
% 0.57/0.90 [495]~P5(x4951,x4952)+P5(f15(x4951,f43(x4952,a1)),x4952)+~P5(f3(f43(x4952,a1)),x4952)
% 0.57/0.90 [504]~P5(x5042,x5041)+~P5(f15(x5042,f43(x5041,a1)),x5041)+P5(f3(f43(x5041,a1)),x5041)
% 0.57/0.90 [739]~P10(x7391,x7392)+P13(f31(f26(x7391,x7392,x7392),x7391,x7392,x7392,x7392),x7391,f43(f45(x7392,x7392),a1))+~P31(f23(x7391,x7392))
% 0.57/0.90 [716]~P8(x7161,x7162)+~P31(f23(x7161,x7162))+P31(f23(f11(x7161,f2(f21(f43(f45(x7162,x7162),a1)),x7162),f43(f45(x7162,x7162),a1)),x7162))
% 0.57/0.90 [436]P13(x4362,x4361,x4363)+~P28(x4363)+P13(x4361,x4362,x4363)
% 0.57/0.90 [394]~P2(x3943)+E(x3941,x3942)+~E(f15(x3941,x3943),f15(x3942,x3943))
% 0.57/0.90 [395]~P23(x3953)+E(x3951,x3952)+~E(f15(x3951,x3953),f15(x3952,x3953))
% 0.57/0.90 [427]~P18(x4272)+~E(f9(x4273,x4271,x4272),f21(x4272))+E(x4271,f21(x4272))
% 0.57/0.90 [428]~P18(x4282)+~E(f10(x4283,x4281,x4282),f3(x4282))+E(x4281,f3(x4282))
% 0.57/0.90 [429]~P18(x4292)+~E(f9(x4291,x4293,x4292),f21(x4292))+E(x4291,f21(x4292))
% 0.57/0.90 [430]~P18(x4302)+~E(f10(x4301,x4303,x4302),f3(x4302))+E(x4301,f3(x4302))
% 0.57/0.90 [443]~P21(x4433)+~P13(x4431,x4432,x4433)+E(f9(x4431,x4432,x4433),x4432)
% 0.57/0.90 [444]~P21(x4443)+~P13(x4442,x4441,x4443)+E(f9(x4441,x4442,x4443),x4441)
% 0.57/0.90 [445]~P22(x4453)+~P13(x4452,x4451,x4453)+E(f10(x4451,x4452,x4453),x4452)
% 0.57/0.90 [446]~P22(x4463)+~P13(x4461,x4462,x4463)+E(f10(x4461,x4462,x4463),x4461)
% 0.57/0.90 [447]~P21(x4473)+P13(x4471,x4472,x4473)+~E(f9(x4471,x4472,x4473),x4472)
% 0.57/0.90 [448]~P22(x4483)+P13(x4481,x4482,x4483)+~E(f10(x4481,x4482,x4483),x4481)
% 0.57/0.90 [452]P5(x4521,x4522)+~P5(x4523,x4522)+~P13(x4521,x4523,f43(x4522,a1))
% 0.57/0.90 [477]~P25(x4772)+~P13(x4773,x4771,x4772)+P13(f15(x4771,x4772),f15(x4773,x4772),x4772)
% 0.57/0.90 [497]~P25(x4973)+~P13(x4972,f15(x4971,x4973),x4973)+P13(x4971,f15(x4972,x4973),x4973)
% 0.57/0.90 [499]~P25(x4992)+~P13(f15(x4993,x4992),x4991,x4992)+P13(f15(x4991,x4992),x4993,x4992)
% 0.57/0.90 [505]~P25(x5053)+P13(x5051,x5052,x5053)+~P13(f15(x5052,x5053),f15(x5051,x5053),x5053)
% 0.57/0.90 [519]E(x5191,x5192)+~P13(x5191,x5192,f43(x5193,a1))+~P13(x5192,x5191,f43(x5193,a1))
% 0.57/0.90 [525]~P3(x5253)+P13(x5251,f14(x5252,x5253),x5253)+~P31(f39(x5251,x5252,x5253))
% 0.57/0.90 [603]~P31(f20(x6031,x6032,x6033))+~P31(f28(x6031,x6032,x6033))+P31(f17(x6031,x6032,x6033))
% 0.57/0.90 [682]~P5(x6822,x6823)+P9(x6821,x6822,x6823,x6823)+~P13(x6822,f32(x6821,x6822,x6823,x6823),f43(x6823,a1))
% 0.57/0.90 [493]~P5(x4932,x4933)+~P5(x4931,x4933)+P5(f9(x4931,x4932,f43(x4933,a1)),x4933)
% 0.57/0.90 [514]P8(x5141,x5142)+~P8(x5143,x5142)+~P13(x5141,x5143,f43(f45(x5142,x5142),a1))
% 0.57/0.90 [515]P12(x5151,x5152)+~P12(x5153,x5152)+~P13(x5151,x5153,f43(f45(x5152,x5152),a1))
% 0.57/0.90 [532]~P13(x5321,x5323,f43(f45(x5322,x5322),a1))+P31(f36(x5321,x5322))+~P31(f36(x5323,x5322))
% 0.57/0.90 [540]P5(x5401,x5402)+~P5(x5403,x5402)+~P5(f11(x5401,x5403,f43(x5402,a1)),x5402)
% 0.57/0.90 [613]E(f2(x6131,x6132),f2(x6133,x6132))+~P13(x6131,f2(x6133,x6132),f43(f45(x6132,x6132),a1))+~P13(x6133,x6131,f43(f45(x6132,x6132),a1))
% 0.57/0.90 [675]~P13(x6751,f27(x6753,x6751,x6752,x6752),f43(x6752,a1))+~P31(f36(x6753,x6752))+E(x6751,f21(f43(x6752,a1)))
% 0.57/0.90 [551]~P10(x5512,x5513)+~P10(x5511,x5513)+P10(f9(x5511,x5512,f43(f45(x5513,x5513),a1)),x5513)
% 0.57/0.90 [552]~P10(x5522,x5523)+~P10(x5521,x5523)+P10(f10(x5521,x5522,f43(f45(x5523,x5523),a1)),x5523)
% 0.57/0.90 [643]~P31(f23(x6432,x6433))+~P31(f23(x6431,x6433))+P31(f23(f10(x6431,x6432,f43(f45(x6433,x6433),a1)),x6433))
% 0.57/0.90 [743]~P31(f17(x7431,x7432,x7433))+P31(f22(x7431,x7432,x7433))+~P31(f36(f11(x7432,f2(f21(f43(f45(x7433,x7433),a1)),x7433),f43(f45(x7433,x7433),a1)),x7433))
% 0.57/0.90 [753]P13(f2(x7531,x7532),x7533,f43(f45(x7532,x7532),a1))+~P13(f31(f10(f2(x7531,x7532),x7533,f43(f45(x7532,x7532),a1)),x7531,x7532,x7532,x7532),x7533,f43(f45(x7532,x7532),a1))+~P13(f2(f21(f43(f45(x7532,x7532),a1)),x7532),x7533,f43(f45(x7532,x7532),a1))
% 0.57/0.90 [757]~P13(x7571,x7573,f43(f45(x7572,x7572),a1))+P13(f31(x7571,f2(x7571,x7572),x7572,x7572,x7572),x7573,f43(f45(x7572,x7572),a1))+~P13(f31(f10(f31(x7571,f2(x7571,x7572),x7572,x7572,x7572),x7573,f43(f45(x7572,x7572),a1)),x7571,x7572,x7572,x7572),x7573,f43(f45(x7572,x7572),a1))
% 0.57/0.90 [465]~P24(x4654)+E(x4651,x4652)+~E(f11(x4653,x4653,x4654),f11(x4651,x4652,x4654))
% 0.57/0.90 [466]~P24(x4663)+E(x4661,x4662)+~E(f11(x4661,x4662,x4663),f11(x4664,x4664,x4663))
% 0.57/0.90 [479]~P13(x4793,x4791,f43(x4794,a1))+P31(f38(x4791,x4792))+~P31(f38(x4793,x4792))
% 0.57/0.90 [521]~P21(x5214)+~P13(x5211,x5213,x5214)+P13(x5211,f9(x5212,x5213,x5214),x5214)
% 0.57/0.90 [522]~P21(x5224)+~P13(x5221,x5222,x5224)+P13(x5221,f9(x5222,x5223,x5224),x5224)
% 0.57/0.90 [523]~P22(x5233)+~P13(x5232,x5234,x5233)+P13(f10(x5231,x5232,x5233),x5234,x5233)
% 0.57/0.90 [524]~P22(x5243)+~P13(x5241,x5244,x5243)+P13(f10(x5241,x5242,x5243),x5244,x5243)
% 0.57/0.90 [544]~P22(x5443)+P13(x5441,x5442,x5443)+~P13(x5441,f10(x5444,x5442,x5443),x5443)
% 0.57/0.90 [546]~P22(x5463)+P13(x5461,x5462,x5463)+~P13(x5461,f10(x5462,x5464,x5463),x5463)
% 0.57/0.90 [548]~P21(x5483)+P13(x5481,x5482,x5483)+~P13(f9(x5484,x5481,x5483),x5482,x5483)
% 0.57/0.90 [550]~P21(x5503)+P13(x5501,x5502,x5503)+~P13(f9(x5501,x5504,x5503),x5502,x5503)
% 0.57/0.90 [555]~P13(x5551,x5554,f43(x5553,a1))+~P13(x5554,x5552,f43(x5553,a1))+P13(x5551,x5552,f43(x5553,a1))
% 0.57/0.90 [587]~P13(x5874,x5872,f43(x5873,a1))+P31(f39(x5871,x5872,x5873))+~P31(f39(x5871,x5874,x5873))
% 0.57/0.90 [686]P5(x6861,x6862)+~P9(x6863,x6861,x6862,x6864)+~P5(f32(x6863,x6861,x6862,x6864),x6864)
% 0.57/0.90 [573]P11(x5731,x5732,x5733)+~P11(x5734,x5732,x5733)+~P13(x5731,x5734,f43(f45(x5732,x5733),a1))
% 0.57/0.90 [583]~P3(x5834)+E(f13(x5831,f12(x5833,x5834,x5832),x5832,x5834),x5833)+E(x5831,f21(f43(x5832,a1)))
% 0.57/0.90 [604]P31(f38(x6041,x6042))+~P31(f36(x6043,x6044))+~P31(f38(x6041,f6(x6041,x6043,x6044)))
% 0.57/0.90 [605]P31(f38(x6051,x6052))+~P31(f36(x6053,x6054))+~P31(f38(x6051,f7(x6051,x6053,x6054)))
% 0.57/0.90 [606]P31(f38(x6061,x6062))+~P31(f36(x6063,x6064))+~P31(f38(x6061,f19(x6061,x6063,x6064)))
% 0.57/0.90 [607]P31(f38(x6071,x6072))+~P31(f36(x6073,x6074))+~P31(f38(x6071,f8(x6071,x6073,x6074)))
% 0.57/0.90 [609]~P13(x6091,x6092,f43(x6094,a1))+~P13(x6091,x6093,f43(x6094,a1))+P13(x6091,f10(x6092,x6093,f43(x6094,a1)),f43(x6094,a1))
% 0.57/0.90 [611]~P13(x6111,x6114,f43(x6113,a1))+~P13(x6112,x6114,f43(x6113,a1))+P13(f9(x6111,x6112,f43(x6113,a1)),x6114,f43(x6113,a1))
% 0.57/0.90 [612]~P13(x6121,x6122,f43(x6124,a1))+~P13(x6123,x6121,f43(x6124,a1))+E(f11(x6121,f11(x6122,x6123,f43(x6124,a1)),f43(x6124,a1)),x6123)
% 0.57/0.90 [619]~P31(f39(x6194,x6192,x6193))+~P31(f39(x6194,x6191,x6193))+~E(f10(x6191,x6192,f43(x6193,a1)),f21(f43(x6193,a1)))
% 0.57/0.90 [676]~P5(x6762,x6764)+P5(f33(x6761,x6762,x6763,x6764),x6763)+~P9(x6761,f3(f43(x6763,a1)),x6763,x6764)
% 0.57/0.90 [591]~P31(f38(x5912,x5914))+~P31(f38(x5911,x5914))+P31(f38(f10(x5911,x5912,f43(x5913,a1)),x5914))
% 0.57/0.90 [628]P31(f38(x6281,x6282))+P31(f38(x6283,x6282))+~P31(f38(f9(x6281,x6283,f43(x6284,a1)),x6282))
% 0.57/0.90 [644]~P31(f38(x6443,x6441))+~P31(f39(x6441,x6442,x6444))+P31(f39(x6441,f10(x6442,x6443,f43(x6444,a1)),x6444))
% 0.57/0.90 [650]~P31(f39(x6501,x6504,x6503))+P31(f39(x6501,x6502,x6503))+P31(f39(x6501,f11(x6504,x6502,f43(x6503,a1)),x6503))
% 0.57/0.90 [658]~P31(f39(x6581,x6583,x6584))+~P31(f39(x6581,x6582,x6584))+P31(f39(x6581,f10(x6582,x6583,f43(x6584,a1)),x6584))
% 0.57/0.90 [670]P31(f39(x6701,x6702,x6703))+P31(f39(x6701,x6704,x6703))+~P31(f39(x6701,f9(x6702,x6704,f43(x6703,a1)),x6703))
% 0.57/0.90 [751]~E(f31(x7511,x7512,x7514,x7514,x7514),f21(f43(f45(x7514,x7514),a1)))+~E(f31(x7511,x7513,x7514,x7514,x7514),f21(f43(f45(x7514,x7514),a1)))+E(f31(x7511,f9(x7512,x7513,f43(f45(x7514,x7514),a1)),x7514,x7514,x7514),f21(f43(f45(x7514,x7514),a1)))
% 0.57/0.90 [752]~E(f31(x7521,x7524,x7523,x7523,x7523),f21(f43(f45(x7523,x7523),a1)))+~E(f31(x7522,x7524,x7523,x7523,x7523),f21(f43(f45(x7523,x7523),a1)))+E(f31(f9(x7521,x7522,f43(f45(x7523,x7523),a1)),x7524,x7523,x7523,x7523),f21(f43(f45(x7523,x7523),a1)))
% 0.57/0.90 [516]~P16(x5164)+P13(f38(x5161,x5162),f38(x5163,x5162),x5164)+~P13(x5161,x5163,f43(x5165,x5164))
% 0.57/0.90 [651]~P3(x6514)+P13(f13(x6511,x6512,x6513,x6514),f38(x6512,x6515),x6514)+~P31(f39(x6515,x6511,x6513))
% 0.57/0.90 [652]P9(x6521,x6522,x6523,x6524)+~P9(x6521,x6525,x6523,x6524)+~P13(x6522,x6525,f43(x6523,a1))
% 0.57/0.90 [673]P5(x6731,x6732)+~P5(x6733,x6734)+~P13(x6731,f32(x6735,x6733,x6734,x6732),f43(x6732,a1))
% 0.57/0.90 [737]~P11(x7372,x7374,x7375)+~P11(x7371,x7373,x7374)+P11(f31(x7371,x7372,x7373,x7374,x7375),x7373,x7375)
% 0.57/0.90 [620]E(x6201,x6202)+~E(f38(x6203,x6201),f38(x6203,x6202))+~P9(x6203,f3(f43(x6204,a1)),x6204,x6205)
% 0.57/0.90 [638]~P13(x6381,x6384,f43(x6383,a1))+~P13(x6382,x6385,f43(x6383,a1))+P13(f9(x6381,x6382,f43(x6383,a1)),f9(x6384,x6385,f43(x6383,a1)),f43(x6383,a1))
% 0.57/0.90 [639]~P13(x6391,x6394,f43(x6393,a1))+~P13(x6392,x6395,f43(x6393,a1))+P13(f10(x6391,x6392,f43(x6393,a1)),f10(x6394,x6395,f43(x6393,a1)),f43(x6393,a1))
% 0.57/0.90 [640]~P13(x6401,x6404,f43(x6403,a1))+~P13(x6405,x6402,f43(x6403,a1))+P13(f11(x6401,x6402,f43(x6403,a1)),f11(x6404,x6405,f43(x6403,a1)),f43(x6403,a1))
% 0.57/0.90 [647]~P31(f39(x6472,x6474,x6475))+E(f38(x6471,x6472),f3(f43(x6473,a1)))+~E(f13(x6474,x6471,x6475,f43(x6473,a1)),f3(f43(x6473,a1)))
% 0.57/0.90 [664]~P5(f38(x6642,x6645),x6644)+~P31(f39(x6645,x6641,x6643))+P5(f13(x6641,x6642,x6643,f43(x6644,a1)),x6644)
% 0.57/0.90 [690]E(x6901,x6902)+~E(f32(x6903,x6901,x6904,x6905),f32(x6903,x6902,x6904,x6905))+~P9(x6903,f3(f43(x6904,a1)),x6904,x6905)
% 0.57/0.90 [700]E(x7001,x7002)+~E(f32(x7003,x7001,x7004,x7005),f32(x7003,x7002,x7004,x7005))+~P9(x7003,f9(x7001,x7002,f43(x7004,a1)),x7004,x7005)
% 0.57/0.90 [714]~P13(x7142,f32(x7141,x7145,x7143,x7144),f43(x7144,a1))+P13(f33(x7141,x7142,x7143,x7144),x7145,f43(x7143,a1))+~P9(x7141,f3(f43(x7143,a1)),x7143,x7144)
% 0.57/0.90 [731]~P13(f32(x7314,x7311,x7313,x7315),f32(x7314,x7312,x7313,x7315),f43(x7315,a1))+P13(x7311,x7312,f43(x7313,a1))+~P9(x7314,f3(f43(x7313,a1)),x7313,x7315)
% 0.57/0.90 [734]~P9(x7344,f3(f43(x7343,a1)),x7343,x7345)+P31(f39(x7341,x7342,x7343))+~P31(f39(f38(x7344,x7341),f32(x7344,x7342,x7343,x7345),x7345))
% 0.57/0.90 [641]~P7(x6412,x6415,x6413)+~P7(x6411,x6414,x6413)+P7(f9(x6411,x6412,f43(x6413,a1)),f9(x6414,x6415,f43(f45(x6413,x6413),a1)),x6413)
% 0.57/0.90 [642]~P7(x6422,x6425,x6423)+~P7(x6421,x6424,x6423)+P7(f10(x6421,x6422,f43(x6423,a1)),f10(x6424,x6425,f43(f45(x6423,x6423),a1)),x6423)
% 0.57/0.90 [688]~P13(f32(x6881,x6885,x6886,x6884),x6883,f43(x6884,a1))+~P31(f39(x6882,x6885,x6886))+P31(f39(f38(x6881,x6882),x6883,x6884))
% 0.57/0.90 [689]P13(x6891,f38(x6892,x6893),f43(x6894,a1))+~P13(x6891,f13(x6895,x6892,x6896,f43(x6894,a1)),f43(x6894,a1))+~P31(f39(x6893,x6895,x6896))
% 0.57/0.90 [699]~P13(x6992,x6996,f43(x6993,a1))+P13(f27(x6991,x6992,x6993,x6994),f27(x6995,x6996,x6993,x6994),f43(x6994,a1))+~P13(x6991,x6995,f43(f45(x6993,x6994),a1))
% 0.57/0.90 [701]E(x7011,x7012)+~P31(f39(x7016,x7013,x7014))+~E(f25(x7011,f12(x7013,f43(x7014,a1),x7015),x7015,x7014),f25(x7012,f12(x7013,f43(x7014,a1),x7015),x7015,x7014))
% 0.57/0.90 [719]~P31(f39(x7192,x7194,x7195))+P31(f38(f38(x7191,x7192),x7193))+~P31(f38(f13(x7194,x7191,x7195,f43(x7196,a1)),x7193))
% 0.57/0.90 [720]~P13(x7201,x7205,f43(x7204,a1))+~P31(f39(x7206,x7202,x7203))+P13(f25(x7201,f12(x7202,f43(x7203,a1),x7204),x7204,x7203),f25(x7205,f12(x7202,f43(x7203,a1),x7204),x7204,x7203),f43(f45(x7204,x7203),a1))
% 0.57/0.90 [730]~P31(f39(x7303,x7305,x7306))+P31(f39(x7301,f38(x7302,x7303),x7304))+~P31(f39(x7301,f13(x7305,x7302,x7306,f43(x7304,a1)),x7304))
% 0.57/0.90 [741]P13(x7411,x7412,f43(x7413,a1))+~P31(f39(x7414,x7415,x7416))+~P13(f25(x7411,f12(x7415,f43(x7416,a1),x7413),x7413,x7416),f25(x7412,f12(x7415,f43(x7416,a1),x7413),x7413,x7416),f43(f45(x7413,x7416),a1))
% 0.57/0.90 [750]~P13(x7502,x7507,f43(f45(x7504,x7505),a1))+~P13(x7501,x7506,f43(f45(x7503,x7504),a1))+P13(f31(x7501,x7502,x7503,x7504,x7505),f31(x7506,x7507,x7503,x7504,x7505),f43(f45(x7503,x7505),a1))
% 0.57/0.90 [754]~P13(x7542,f25(x7548,f12(x7547,f43(x7545,a1),x7544),x7544,x7545),f43(f45(x7544,x7545),a1))+~P13(x7541,f25(x7546,f12(x7548,f43(x7544,a1),x7543),x7543,x7544),f43(f45(x7543,x7544),a1))+P13(f31(x7541,x7542,x7543,x7544,x7545),f25(x7546,f12(x7547,f43(x7545,a1),x7543),x7543,x7545),f43(f45(x7543,x7545),a1))
% 0.57/0.90 [764]~P6(x7646,x7643,x7641,x7647,x7648,x7649,x76410,x76411,x7645)+~P31(f39(x7642,x7644,x7645))+P31(f38(f38(x7641,x7642),f38(x7643,x7644)))
% 0.57/0.90 [765]~P6(x7652,x7656,x7651,x7657,x7658,x7659,x76510,x76511,x7655)+~P31(f39(x7654,x7653,x7655))+P31(f38(f38(x7651,f38(x7652,x7653)),x7654))
% 0.57/0.90 [469]~P13(x4692,x4691,x4693)+~P13(x4691,x4692,x4693)+E(x4691,x4692)+~P27(x4693)
% 0.57/0.90 [490]~P2(x4902)+~E(f9(x4901,x4903,x4902),f3(x4902))+~E(f10(x4901,x4903,x4902),f21(x4902))+E(f15(x4901,x4902),x4903)
% 0.57/0.90 [704]~P5(x7042,x7043)+~P9(x7041,x7042,x7043,x7043)+~P13(f32(x7041,x7042,x7043,x7043),x7042,f43(x7043,a1))+E(f32(x7041,x7042,x7043,x7043),x7042)
% 0.57/0.90 [574]~P31(f23(x5743,x5742))+~P31(f29(x5743,x5742))+~P31(f28(x5741,x5743,x5742))+P31(f38(f4(x5741,x5742),x5743))
% 0.57/0.90 [702]~P31(f36(x7022,x7023))+~P31(f36(x7021,x7023))+~E(f10(f24(x7021,x7023,x7023),f24(f26(x7022,x7023,x7023),x7023,x7023),f43(x7023,a1)),f21(f43(x7023,a1)))+P31(f36(f9(x7021,x7022,f43(f45(x7023,x7023),a1)),x7023))
% 0.57/0.90 [746]~P13(f31(x7461,x7462,x7463,x7463,x7463),x7461,f43(f45(x7463,x7463),a1))+~P31(f36(x7462,x7463))+~P31(f36(x7461,x7463))+P31(f36(f9(x7461,x7462,f43(f45(x7463,x7463),a1)),x7463))
% 0.57/0.90 [511]~P27(x5113)+~P13(x5111,x5114,x5113)+P13(x5111,x5112,x5113)+~P13(x5114,x5112,x5113)
% 0.57/0.90 [512]~P30(x5123)+~P13(x5121,x5124,x5123)+P13(x5121,x5122,x5123)+~P13(x5124,x5122,x5123)
% 0.57/0.90 [567]~P22(x5674)+~P13(x5671,x5673,x5674)+~P13(x5671,x5672,x5674)+P13(x5671,f10(x5672,x5673,x5674),x5674)
% 0.57/0.90 [570]~P21(x5703)+~P13(x5702,x5704,x5703)+~P13(x5701,x5704,x5703)+P13(f9(x5701,x5702,x5703),x5704,x5703)
% 0.57/0.90 [553]~P25(x5533)+~P13(x5535,x5534,x5533)+P13(x5531,x5532,x5533)+~E(f11(x5534,x5535,x5533),f11(x5532,x5531,x5533))
% 0.57/0.90 [554]~P25(x5543)+~P13(x5545,x5544,x5543)+P13(x5541,x5542,x5543)+~E(f11(x5542,x5541,x5543),f11(x5544,x5545,x5543))
% 0.57/0.90 [745]~P9(x7451,x7453,x7454,x7455)+~P9(x7451,x7452,x7454,x7455)+P9(x7451,f9(x7452,x7453,f43(x7454,a1)),x7454,x7455)+~E(f10(f32(x7451,f11(x7452,x7453,f43(x7454,a1)),x7454,x7455),f32(x7451,f11(x7453,x7452,f43(x7454,a1)),x7454,x7455),f43(x7455,a1)),f21(f43(x7455,a1)))
% 0.57/0.90 [724]~P9(x7241,x7246,x7243,x7244)+~P13(x7242,x7246,f43(x7243,a1))+~P13(x7245,x7246,f43(x7243,a1))+E(f10(f32(x7241,x7242,x7243,x7244),f32(x7241,x7245,x7243,x7244),f43(x7244,a1)),f32(x7241,f10(x7242,x7245,f43(x7243,a1)),x7243,x7244))
% 0.57/0.90 [725]~P9(x7251,x7256,x7253,x7254)+~P13(x7252,x7256,f43(x7253,a1))+~P13(x7255,x7256,f43(x7253,a1))+E(f11(f32(x7251,x7252,x7253,x7254),f32(x7251,x7255,x7253,x7254),f43(x7254,a1)),f32(x7251,f11(x7252,x7255,f43(x7253,a1)),x7253,x7254))
% 0.57/0.90 [662]E(x6621,x6622)+~P9(x6623,x6624,x6625,x6626)+~E(f38(x6623,x6621),f38(x6623,x6622))+~P31(f39(x6622,x6624,x6625))+~P31(f39(x6621,x6624,x6625))
% 0.57/0.90 %EqnAxiom
% 0.57/0.90 [1]E(x11,x11)
% 0.57/0.90 [2]E(x22,x21)+~E(x21,x22)
% 0.57/0.90 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.57/0.90 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.57/0.90 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.57/0.90 [6]~E(x61,x62)+E(f39(x61,x63,x64),f39(x62,x63,x64))
% 0.57/0.90 [7]~E(x71,x72)+E(f39(x73,x71,x74),f39(x73,x72,x74))
% 0.57/0.90 [8]~E(x81,x82)+E(f39(x83,x84,x81),f39(x83,x84,x82))
% 0.57/0.90 [9]~E(x91,x92)+E(f38(x91,x93),f38(x92,x93))
% 0.57/0.90 [10]~E(x101,x102)+E(f38(x103,x101),f38(x103,x102))
% 0.57/0.90 [11]~E(x111,x112)+E(f43(x111,x113),f43(x112,x113))
% 0.57/0.90 [12]~E(x121,x122)+E(f43(x123,x121),f43(x123,x122))
% 0.57/0.90 [13]~E(x131,x132)+E(f3(x131),f3(x132))
% 0.57/0.90 [14]~E(x141,x142)+E(f4(x141,x143),f4(x142,x143))
% 0.57/0.90 [15]~E(x151,x152)+E(f4(x153,x151),f4(x153,x152))
% 0.57/0.90 [16]~E(x161,x162)+E(f45(x161,x163),f45(x162,x163))
% 0.57/0.90 [17]~E(x171,x172)+E(f45(x173,x171),f45(x173,x172))
% 0.57/0.90 [18]~E(x181,x182)+E(f21(x181),f21(x182))
% 0.57/0.90 [19]~E(x191,x192)+E(f25(x191,x193,x194,x195),f25(x192,x193,x194,x195))
% 0.57/0.90 [20]~E(x201,x202)+E(f25(x203,x201,x204,x205),f25(x203,x202,x204,x205))
% 0.57/0.90 [21]~E(x211,x212)+E(f25(x213,x214,x211,x215),f25(x213,x214,x212,x215))
% 0.57/0.90 [22]~E(x221,x222)+E(f25(x223,x224,x225,x221),f25(x223,x224,x225,x222))
% 0.57/0.90 [23]~E(x231,x232)+E(f12(x231,x233,x234),f12(x232,x233,x234))
% 0.57/0.90 [24]~E(x241,x242)+E(f12(x243,x241,x244),f12(x243,x242,x244))
% 0.57/0.90 [25]~E(x251,x252)+E(f12(x253,x254,x251),f12(x253,x254,x252))
% 0.57/0.90 [26]~E(x261,x262)+E(f27(x261,x263,x264,x265),f27(x262,x263,x264,x265))
% 0.57/0.90 [27]~E(x271,x272)+E(f27(x273,x271,x274,x275),f27(x273,x272,x274,x275))
% 0.57/0.90 [28]~E(x281,x282)+E(f27(x283,x284,x281,x285),f27(x283,x284,x282,x285))
% 0.57/0.90 [29]~E(x291,x292)+E(f27(x293,x294,x295,x291),f27(x293,x294,x295,x292))
% 0.57/0.90 [30]~E(x301,x302)+E(f9(x301,x303,x304),f9(x302,x303,x304))
% 0.57/0.90 [31]~E(x311,x312)+E(f9(x313,x311,x314),f9(x313,x312,x314))
% 0.57/0.90 [32]~E(x321,x322)+E(f9(x323,x324,x321),f9(x323,x324,x322))
% 0.57/0.90 [33]~E(x331,x332)+E(f10(x331,x333,x334),f10(x332,x333,x334))
% 0.57/0.90 [34]~E(x341,x342)+E(f10(x343,x341,x344),f10(x343,x342,x344))
% 0.57/0.90 [35]~E(x351,x352)+E(f10(x353,x354,x351),f10(x353,x354,x352))
% 0.57/0.90 [36]~E(x361,x362)+E(f26(x361,x363,x364),f26(x362,x363,x364))
% 0.57/0.90 [37]~E(x371,x372)+E(f26(x373,x371,x374),f26(x373,x372,x374))
% 0.57/0.90 [38]~E(x381,x382)+E(f26(x383,x384,x381),f26(x383,x384,x382))
% 0.57/0.90 [39]~E(x391,x392)+E(f13(x391,x393,x394,x395),f13(x392,x393,x394,x395))
% 0.57/0.90 [40]~E(x401,x402)+E(f13(x403,x401,x404,x405),f13(x403,x402,x404,x405))
% 0.57/0.90 [41]~E(x411,x412)+E(f13(x413,x414,x411,x415),f13(x413,x414,x412,x415))
% 0.57/0.90 [42]~E(x421,x422)+E(f13(x423,x424,x425,x421),f13(x423,x424,x425,x422))
% 0.57/0.90 [43]~E(x431,x432)+E(f23(x431,x433),f23(x432,x433))
% 0.57/0.90 [44]~E(x441,x442)+E(f23(x443,x441),f23(x443,x442))
% 0.57/0.90 [45]~E(x451,x452)+E(f35(x451,x453),f35(x452,x453))
% 0.57/0.90 [46]~E(x461,x462)+E(f35(x463,x461),f35(x463,x462))
% 0.57/0.90 [47]~E(x471,x472)+E(f36(x471,x473),f36(x472,x473))
% 0.57/0.90 [48]~E(x481,x482)+E(f36(x483,x481),f36(x483,x482))
% 0.57/0.90 [49]~E(x491,x492)+E(f16(x491,x493),f16(x492,x493))
% 0.57/0.90 [50]~E(x501,x502)+E(f16(x503,x501),f16(x503,x502))
% 0.57/0.90 [51]~E(x511,x512)+E(f40(x511,x513),f40(x512,x513))
% 0.57/0.90 [52]~E(x521,x522)+E(f40(x523,x521),f40(x523,x522))
% 0.57/0.90 [53]~E(x531,x532)+E(f17(x531,x533,x534),f17(x532,x533,x534))
% 0.57/0.90 [54]~E(x541,x542)+E(f17(x543,x541,x544),f17(x543,x542,x544))
% 0.57/0.90 [55]~E(x551,x552)+E(f17(x553,x554,x551),f17(x553,x554,x552))
% 0.57/0.90 [56]~E(x561,x562)+E(f11(x561,x563,x564),f11(x562,x563,x564))
% 0.57/0.90 [57]~E(x571,x572)+E(f11(x573,x571,x574),f11(x573,x572,x574))
% 0.57/0.90 [58]~E(x581,x582)+E(f11(x583,x584,x581),f11(x583,x584,x582))
% 0.57/0.90 [59]~E(x591,x592)+E(f31(x591,x593,x594,x595,x596),f31(x592,x593,x594,x595,x596))
% 0.57/0.90 [60]~E(x601,x602)+E(f31(x603,x601,x604,x605,x606),f31(x603,x602,x604,x605,x606))
% 0.57/0.90 [61]~E(x611,x612)+E(f31(x613,x614,x611,x615,x616),f31(x613,x614,x612,x615,x616))
% 0.57/0.90 [62]~E(x621,x622)+E(f31(x623,x624,x625,x621,x626),f31(x623,x624,x625,x622,x626))
% 0.57/0.90 [63]~E(x631,x632)+E(f31(x633,x634,x635,x636,x631),f31(x633,x634,x635,x636,x632))
% 0.57/0.90 [64]~E(x641,x642)+E(f15(x641,x643),f15(x642,x643))
% 0.57/0.90 [65]~E(x651,x652)+E(f15(x653,x651),f15(x653,x652))
% 0.57/0.90 [66]~E(x661,x662)+E(f22(x661,x663,x664),f22(x662,x663,x664))
% 0.57/0.90 [67]~E(x671,x672)+E(f22(x673,x671,x674),f22(x673,x672,x674))
% 0.57/0.90 [68]~E(x681,x682)+E(f22(x683,x684,x681),f22(x683,x684,x682))
% 0.57/0.90 [69]~E(x691,x692)+E(f24(x691,x693,x694),f24(x692,x693,x694))
% 0.57/0.90 [70]~E(x701,x702)+E(f24(x703,x701,x704),f24(x703,x702,x704))
% 0.57/0.90 [71]~E(x711,x712)+E(f24(x713,x714,x711),f24(x713,x714,x712))
% 0.57/0.90 [72]~E(x721,x722)+E(f32(x721,x723,x724,x725),f32(x722,x723,x724,x725))
% 0.57/0.90 [73]~E(x731,x732)+E(f32(x733,x731,x734,x735),f32(x733,x732,x734,x735))
% 0.57/0.90 [74]~E(x741,x742)+E(f32(x743,x744,x741,x745),f32(x743,x744,x742,x745))
% 0.57/0.90 [75]~E(x751,x752)+E(f32(x753,x754,x755,x751),f32(x753,x754,x755,x752))
% 0.57/0.90 [76]~E(x761,x762)+E(f20(x761,x763,x764),f20(x762,x763,x764))
% 0.57/0.90 [77]~E(x771,x772)+E(f20(x773,x771,x774),f20(x773,x772,x774))
% 0.57/0.90 [78]~E(x781,x782)+E(f20(x783,x784,x781),f20(x783,x784,x782))
% 0.57/0.90 [79]~E(x791,x792)+E(f18(x791,x793,x794,x795),f18(x792,x793,x794,x795))
% 0.57/0.90 [80]~E(x801,x802)+E(f18(x803,x801,x804,x805),f18(x803,x802,x804,x805))
% 0.57/0.90 [81]~E(x811,x812)+E(f18(x813,x814,x811,x815),f18(x813,x814,x812,x815))
% 0.57/0.90 [82]~E(x821,x822)+E(f18(x823,x824,x825,x821),f18(x823,x824,x825,x822))
% 0.57/0.90 [83]~E(x831,x832)+E(f14(x831,x833),f14(x832,x833))
% 0.57/0.90 [84]~E(x841,x842)+E(f14(x843,x841),f14(x843,x842))
% 0.57/0.90 [85]~E(x851,x852)+E(f6(x851,x853,x854),f6(x852,x853,x854))
% 0.57/0.90 [86]~E(x861,x862)+E(f6(x863,x861,x864),f6(x863,x862,x864))
% 0.57/0.90 [87]~E(x871,x872)+E(f6(x873,x874,x871),f6(x873,x874,x872))
% 0.57/0.90 [88]~E(x881,x882)+E(f33(x881,x883,x884,x885),f33(x882,x883,x884,x885))
% 0.57/0.90 [89]~E(x891,x892)+E(f33(x893,x891,x894,x895),f33(x893,x892,x894,x895))
% 0.57/0.90 [90]~E(x901,x902)+E(f33(x903,x904,x901,x905),f33(x903,x904,x902,x905))
% 0.57/0.90 [91]~E(x911,x912)+E(f33(x913,x914,x915,x911),f33(x913,x914,x915,x912))
% 0.57/0.90 [92]~E(x921,x922)+E(f28(x921,x923,x924),f28(x922,x923,x924))
% 0.57/0.90 [93]~E(x931,x932)+E(f28(x933,x931,x934),f28(x933,x932,x934))
% 0.57/0.90 [94]~E(x941,x942)+E(f28(x943,x944,x941),f28(x943,x944,x942))
% 0.57/0.90 [95]~E(x951,x952)+E(f29(x951,x953),f29(x952,x953))
% 0.57/0.90 [96]~E(x961,x962)+E(f29(x963,x961),f29(x963,x962))
% 0.57/0.90 [97]~E(x971,x972)+E(f30(x971,x973,x974,x975),f30(x972,x973,x974,x975))
% 0.57/0.90 [98]~E(x981,x982)+E(f30(x983,x981,x984,x985),f30(x983,x982,x984,x985))
% 0.57/0.90 [99]~E(x991,x992)+E(f30(x993,x994,x991,x995),f30(x993,x994,x992,x995))
% 0.57/0.90 [100]~E(x1001,x1002)+E(f30(x1003,x1004,x1005,x1001),f30(x1003,x1004,x1005,x1002))
% 0.57/0.90 [101]~E(x1011,x1012)+E(f7(x1011,x1013,x1014),f7(x1012,x1013,x1014))
% 0.57/0.90 [102]~E(x1021,x1022)+E(f7(x1023,x1021,x1024),f7(x1023,x1022,x1024))
% 0.57/0.90 [103]~E(x1031,x1032)+E(f7(x1033,x1034,x1031),f7(x1033,x1034,x1032))
% 0.57/0.90 [104]~E(x1041,x1042)+E(f8(x1041,x1043,x1044),f8(x1042,x1043,x1044))
% 0.57/0.90 [105]~E(x1051,x1052)+E(f8(x1053,x1051,x1054),f8(x1053,x1052,x1054))
% 0.57/0.90 [106]~E(x1061,x1062)+E(f8(x1063,x1064,x1061),f8(x1063,x1064,x1062))
% 0.57/0.90 [107]~E(x1071,x1072)+E(f19(x1071,x1073,x1074),f19(x1072,x1073,x1074))
% 0.57/0.90 [108]~E(x1081,x1082)+E(f19(x1083,x1081,x1084),f19(x1083,x1082,x1084))
% 0.57/0.90 [109]~E(x1091,x1092)+E(f19(x1093,x1094,x1091),f19(x1093,x1094,x1092))
% 0.57/0.90 [110]~E(x1101,x1102)+E(f37(x1101,x1103,x1104),f37(x1102,x1103,x1104))
% 0.57/0.90 [111]~E(x1111,x1112)+E(f37(x1113,x1111,x1114),f37(x1113,x1112,x1114))
% 0.57/0.90 [112]~E(x1121,x1122)+E(f37(x1123,x1124,x1121),f37(x1123,x1124,x1122))
% 0.57/0.90 [113]~P1(x1131)+P1(x1132)+~E(x1131,x1132)
% 0.57/0.90 [114]~P2(x1141)+P2(x1142)+~E(x1141,x1142)
% 0.57/0.90 [115]~P18(x1151)+P18(x1152)+~E(x1151,x1152)
% 0.57/0.90 [116]~P3(x1161)+P3(x1162)+~E(x1161,x1162)
% 0.57/0.90 [117]~P19(x1171)+P19(x1172)+~E(x1171,x1172)
% 0.57/0.90 [118]~P20(x1181)+P20(x1182)+~E(x1181,x1182)
% 0.57/0.90 [119]~P21(x1191)+P21(x1192)+~E(x1191,x1192)
% 0.57/0.90 [120]~P22(x1201)+P22(x1202)+~E(x1201,x1202)
% 0.57/0.90 [121]~P27(x1211)+P27(x1212)+~E(x1211,x1212)
% 0.57/0.90 [122]~P14(x1221)+P14(x1222)+~E(x1221,x1222)
% 0.57/0.90 [123]~P15(x1231)+P15(x1232)+~E(x1231,x1232)
% 0.57/0.90 [124]~P16(x1241)+P16(x1242)+~E(x1241,x1242)
% 0.57/0.90 [125]~P29(x1251)+P29(x1252)+~E(x1251,x1252)
% 0.57/0.90 [126]~P30(x1261)+P30(x1262)+~E(x1261,x1262)
% 0.57/0.90 [127]~P17(x1271)+P17(x1272)+~E(x1271,x1272)
% 0.57/0.90 [128]P4(x1282,x1283,x1284)+~E(x1281,x1282)+~P4(x1281,x1283,x1284)
% 0.57/0.90 [129]P4(x1293,x1292,x1294)+~E(x1291,x1292)+~P4(x1293,x1291,x1294)
% 0.57/0.90 [130]P4(x1303,x1304,x1302)+~E(x1301,x1302)+~P4(x1303,x1304,x1301)
% 0.57/0.90 [131]P5(x1312,x1313)+~E(x1311,x1312)+~P5(x1311,x1313)
% 0.57/0.90 [132]P5(x1323,x1322)+~E(x1321,x1322)+~P5(x1323,x1321)
% 0.57/0.90 [133]P13(x1332,x1333,x1334)+~E(x1331,x1332)+~P13(x1331,x1333,x1334)
% 0.57/0.90 [134]P13(x1343,x1342,x1344)+~E(x1341,x1342)+~P13(x1343,x1341,x1344)
% 0.57/0.90 [135]P13(x1353,x1354,x1352)+~E(x1351,x1352)+~P13(x1353,x1354,x1351)
% 0.57/0.90 [136]~P31(x1361)+P31(x1362)+~E(x1361,x1362)
% 0.57/0.90 [137]P11(x1372,x1373,x1374)+~E(x1371,x1372)+~P11(x1371,x1373,x1374)
% 0.57/0.90 [138]P11(x1383,x1382,x1384)+~E(x1381,x1382)+~P11(x1383,x1381,x1384)
% 0.57/0.90 [139]P11(x1393,x1394,x1392)+~E(x1391,x1392)+~P11(x1393,x1394,x1391)
% 0.57/0.90 [140]P10(x1402,x1403)+~E(x1401,x1402)+~P10(x1401,x1403)
% 0.57/0.90 [141]P10(x1413,x1412)+~E(x1411,x1412)+~P10(x1413,x1411)
% 0.57/0.90 [142]P6(x1422,x1423,x1424,x1425,x1426,x1427,x1428,x1429,x14210)+~E(x1421,x1422)+~P6(x1421,x1423,x1424,x1425,x1426,x1427,x1428,x1429,x14210)
% 0.57/0.90 [143]P6(x1433,x1432,x1434,x1435,x1436,x1437,x1438,x1439,x14310)+~E(x1431,x1432)+~P6(x1433,x1431,x1434,x1435,x1436,x1437,x1438,x1439,x14310)
% 0.57/0.90 [144]P6(x1443,x1444,x1442,x1445,x1446,x1447,x1448,x1449,x14410)+~E(x1441,x1442)+~P6(x1443,x1444,x1441,x1445,x1446,x1447,x1448,x1449,x14410)
% 0.57/0.90 [145]P6(x1453,x1454,x1455,x1452,x1456,x1457,x1458,x1459,x14510)+~E(x1451,x1452)+~P6(x1453,x1454,x1455,x1451,x1456,x1457,x1458,x1459,x14510)
% 0.57/0.90 [146]P6(x1463,x1464,x1465,x1466,x1462,x1467,x1468,x1469,x14610)+~E(x1461,x1462)+~P6(x1463,x1464,x1465,x1466,x1461,x1467,x1468,x1469,x14610)
% 0.57/0.90 [147]P6(x1473,x1474,x1475,x1476,x1477,x1472,x1478,x1479,x14710)+~E(x1471,x1472)+~P6(x1473,x1474,x1475,x1476,x1477,x1471,x1478,x1479,x14710)
% 0.57/0.90 [148]P6(x1483,x1484,x1485,x1486,x1487,x1488,x1482,x1489,x14810)+~E(x1481,x1482)+~P6(x1483,x1484,x1485,x1486,x1487,x1488,x1481,x1489,x14810)
% 0.57/0.90 [149]P6(x1493,x1494,x1495,x1496,x1497,x1498,x1499,x1492,x14910)+~E(x1491,x1492)+~P6(x1493,x1494,x1495,x1496,x1497,x1498,x1499,x1491,x14910)
% 0.57/0.90 [150]P6(x1503,x1504,x1505,x1506,x1507,x1508,x1509,x15010,x1502)+~E(x1501,x1502)+~P6(x1503,x1504,x1505,x1506,x1507,x1508,x1509,x15010,x1501)
% 0.57/0.90 [151]~P25(x1511)+P25(x1512)+~E(x1511,x1512)
% 0.57/0.90 [152]P9(x1522,x1523,x1524,x1525)+~E(x1521,x1522)+~P9(x1521,x1523,x1524,x1525)
% 0.57/0.90 [153]P9(x1533,x1532,x1534,x1535)+~E(x1531,x1532)+~P9(x1533,x1531,x1534,x1535)
% 0.57/0.90 [154]P9(x1543,x1544,x1542,x1545)+~E(x1541,x1542)+~P9(x1543,x1544,x1541,x1545)
% 0.57/0.90 [155]P9(x1553,x1554,x1555,x1552)+~E(x1551,x1552)+~P9(x1553,x1554,x1555,x1551)
% 0.57/0.90 [156]P7(x1562,x1563,x1564)+~E(x1561,x1562)+~P7(x1561,x1563,x1564)
% 0.57/0.90 [157]P7(x1573,x1572,x1574)+~E(x1571,x1572)+~P7(x1573,x1571,x1574)
% 0.57/0.90 [158]P7(x1583,x1584,x1582)+~E(x1581,x1582)+~P7(x1583,x1584,x1581)
% 0.57/0.90 [159]P12(x1592,x1593)+~E(x1591,x1592)+~P12(x1591,x1593)
% 0.57/0.90 [160]P12(x1603,x1602)+~E(x1601,x1602)+~P12(x1603,x1601)
% 0.57/0.90 [161]P8(x1612,x1613)+~E(x1611,x1612)+~P8(x1611,x1613)
% 0.57/0.90 [162]P8(x1623,x1622)+~E(x1621,x1622)+~P8(x1623,x1621)
% 0.57/0.90 [163]~P28(x1631)+P28(x1632)+~E(x1631,x1632)
% 0.57/0.90 [164]~P23(x1641)+P23(x1642)+~E(x1641,x1642)
% 0.57/0.90 [165]~P26(x1651)+P26(x1652)+~E(x1651,x1652)
% 0.57/0.90 [166]~P24(x1661)+P24(x1662)+~E(x1661,x1662)
% 0.57/0.90
% 0.57/0.90 %-------------------------------------------
% 0.70/0.91 cnf(766,plain,
% 0.70/0.91 ($false),
% 0.70/0.91 inference(scs_inference,[],[225,369,726]),
% 0.70/0.91 ['proof']).
% 0.70/0.91 % SZS output end Proof
% 0.70/0.91 % Total time :0.030000s
%------------------------------------------------------------------------------