TSTP Solution File: SCT002-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SCT002-1 : 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 : n014.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 14:09:49 EDT 2023
% Result : Unsatisfiable 0.80s 0.95s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT002-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.17/0.34 % Computer : n014.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 24 16:23:03 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.78/0.90 %-------------------------------------------
% 0.78/0.90 % File :CSE---1.6
% 0.78/0.90 % Problem :theBenchmark
% 0.78/0.90 % Transform :cnf
% 0.78/0.90 % Format :tptp:raw
% 0.78/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.78/0.90
% 0.78/0.90 % Result :Theorem 0.060000s
% 0.78/0.90 % Output :CNFRefutation 0.060000s
% 0.78/0.90 %-------------------------------------------
% 0.78/0.90 %------------------------------------------------------------------------------
% 0.78/0.90 % File : SCT002-1 : TPTP v8.1.2. Released v4.1.0.
% 0.78/0.90 % Domain : Social Choice Theory
% 0.78/0.90 % Problem : Arrow Order 044_1
% 0.78/0.90 % Version : Especial.
% 0.78/0.90 % English : Formalization of two proofs of Arrow's impossibility theorem. One
% 0.78/0.90 % formalization is based on utility functions, the other one on
% 0.78/0.90 % strict partial orders.
% 0.78/0.91
% 0.78/0.91 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and
% 0.78/0.91 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe
% 0.78/0.91 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.78/0.91 % Source : [Nip10]
% 0.78/0.91 % Names : Arrow_Order-044_1 [Nip10]
% 0.78/0.91
% 0.78/0.91 % Status : Unsatisfiable
% 0.78/0.91 % Rating : 0.10 v8.1.0, 0.11 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.30 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0
% 0.78/0.91 % Syntax : Number of clauses : 677 ( 204 unt; 71 nHn; 368 RR)
% 0.78/0.91 % Number of literals : 1423 ( 310 equ; 693 neg)
% 0.78/0.91 % Maximal clause size : 6 ( 2 avg)
% 0.78/0.91 % Maximal term depth : 7 ( 1 avg)
% 0.78/0.91 % Number of predicates : 32 ( 31 usr; 0 prp; 1-6 aty)
% 0.78/0.91 % Number of functors : 88 ( 88 usr; 11 con; 0-7 aty)
% 0.78/0.91 % Number of variables : 2377 ( 215 sgn)
% 0.78/0.91 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.78/0.91
% 0.78/0.91 % Comments :
% 0.78/0.91 %------------------------------------------------------------------------------
% 0.78/0.91 cnf(cls_Times__subset__cancel2_1,axiom,
% 0.78/0.91 ( c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 0.78/0.91 | ~ hBOOL(c_in(V_x,V_C,T_a)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Times__subset__cancel2_0,axiom,
% 0.78/0.91 ( c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool))
% 0.78/0.91 | ~ c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool))
% 0.78/0.91 | ~ hBOOL(c_in(V_x,V_C,T_a)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_diff__single__insert_0,axiom,
% 0.78/0.91 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.78/0.91 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.78/0.91 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_subset__insert__iff_3,axiom,
% 0.78/0.91 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.78/0.91 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.78/0.91 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_subset__insert__iff_0,axiom,
% 0.78/0.91 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool))
% 0.78/0.91 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.78/0.91 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_trancl__Int__subset_0,axiom,
% 0.78/0.91 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.78/0.91 | ~ 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))
% 0.78/0.91 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Sigma__Int__distrib1_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Diff__triv_0,axiom,
% 0.78/0.91 ( 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))
% 0.78/0.91 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_sup__fun__eq_0,axiom,
% 0.78/0.91 ( ~ class_Lattices_Olattice(T_b)
% 0.78/0.91 | 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Domain__Diff__subset_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Int__Un__distrib2_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Int__Un__distrib_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_inf__sup__distrib1_0,axiom,
% 0.78/0.91 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.78/0.91 | 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_inf__sup__distrib2_0,axiom,
% 0.78/0.91 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.78/0.91 | 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) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Id__on__subset__Times_0,axiom,
% 0.78/0.91 c_lessequals(c_Relation_OId__on(V_A,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_refl__on__def_0,axiom,
% 0.78/0.91 ( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.78/0.91 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Un__absorb_0,axiom,
% 0.78/0.91 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_sup__idem_0,axiom,
% 0.78/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.78/0.91 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_rel__comp__mono_0,axiom,
% 0.78/0.91 ( c_lessequals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Un__Image_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Image__Un_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_tfl__wf__induct_1,axiom,
% 0.78/0.91 ( hBOOL(hAPP(V_P,V_Rb))
% 0.78/0.91 | ~ hBOOL(hAPP(V_P,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a)))
% 0.78/0.91 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_insert__commute_0,axiom,
% 0.78/0.91 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_COMBK__def_0,axiom,
% 0.78/0.91 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Diff__idemp_0,axiom,
% 0.78/0.91 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)) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_doubleton__eq__iff_4,axiom,
% 0.78/0.91 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_Image__subset_0,axiom,
% 0.78/0.91 ( c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool))
% 0.78/0.91 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_eq__eqI_1,axiom,
% 0.78/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.78/0.91 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)
% 0.78/0.91 | V_xa = V_y ) ).
% 0.78/0.91
% 0.78/0.91 cnf(cls_eq__eqI_0,axiom,
% 0.78/0.91 ( ~ class_OrderedGroup_Oab__group__add(T_a)
% 0.78/0.91 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.78/0.91 | V_x_H = V_y_H ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_image__diff__subset_0,axiom,
% 0.80/0.91 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)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Un__left__commute_0,axiom,
% 0.80/0.91 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)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Un__assoc_0,axiom,
% 0.80/0.91 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)) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sup__assoc_0,axiom,
% 0.80/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.91 | 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) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_sup__left__commute_0,axiom,
% 0.80/0.91 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.91 | 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) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_inf__sup__aci_I7_J_0,axiom,
% 0.80/0.91 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.91 | 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) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_inf__sup__aci_I6_J_0,axiom,
% 0.80/0.91 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.91 | 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) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Int__absorb2_0,axiom,
% 0.80/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.80/0.91 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Int__absorb1_0,axiom,
% 0.80/0.91 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.80/0.91 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_le__iff__inf_0,axiom,
% 0.80/0.91 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x
% 0.80/0.91 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_le__iff__inf_1,axiom,
% 0.80/0.91 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x
% 0.80/0.91 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_inf__absorb2_0,axiom,
% 0.80/0.91 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.91 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y
% 0.80/0.91 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.91
% 0.80/0.91 cnf(cls_Un__subset__iff_2,axiom,
% 0.80/0.92 ( 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))
% 0.80/0.92 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__upper2_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__upper1_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__least_0,axiom,
% 0.80/0.92 ( 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))
% 0.80/0.92 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_le__supI_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.92 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a)
% 0.80/0.92 | ~ c_lessequals(V_b,V_x,T_a)
% 0.80/0.92 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup__ge1_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.92 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup__ge2_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.92 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup__least_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.92 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)
% 0.80/0.92 | ~ c_lessequals(V_z,V_x,T_a)
% 0.80/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_insert__Diff1_0,axiom,
% 0.80/0.92 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_insert__subset_1,axiom,
% 0.80/0.92 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_subset__insertI2_0,axiom,
% 0.80/0.92 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Range__Diff__subset_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_wf__induct_1,axiom,
% 0.80/0.92 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.92 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a)))
% 0.80/0.92 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_rtrancl__Un__subset_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__insert__left_0,axiom,
% 0.80/0.92 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__insert__right_0,axiom,
% 0.80/0.92 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_empty__subsetI_0,axiom,
% 0.80/0.92 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_less__by__empty_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_bot__least_0,axiom,
% 0.80/0.92 ( ~ class_Orderings_Obot(T_a)
% 0.80/0.92 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__insert_0,axiom,
% 0.80/0.92 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__insert2_0,axiom,
% 0.80/0.92 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_insert__not__empty_0,axiom,
% 0.80/0.92 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_insert__inter__insert_0,axiom,
% 0.80/0.92 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_insert__absorb2_0,axiom,
% 0.80/0.92 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_insert__code_0,axiom,
% 0.80/0.92 ( hBOOL(hAPP(V_A,V_x))
% 0.80/0.92 | V_y = V_x
% 0.80/0.92 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Domain__insert_0,axiom,
% 0.80/0.92 c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b) = c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sym__Un_0,axiom,
% 0.80/0.92 ( 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)
% 0.80/0.92 | ~ c_Relation_Osym(V_s,T_a)
% 0.80/0.92 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_rtrancl__mono_0,axiom,
% 0.80/0.92 ( 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))
% 0.80/0.92 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Domain__Int__subset_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_inf__bot__right_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_inf__bot__left_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.92 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Int__empty__left_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Int__empty__right_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_subset__insertI_0,axiom,
% 0.80/0.92 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_image__Int__subset_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Image__Int__subset_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__Int__assoc__eq_0,axiom,
% 0.80/0.92 ( 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))
% 0.80/0.92 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__Int__assoc__eq_1,axiom,
% 0.80/0.92 ( 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))
% 0.80/0.92 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Sigma__Diff__distrib1_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__empty_0,axiom,
% 0.80/0.92 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 ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__cancel_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_rel__comp__subset__Sigma_0,axiom,
% 0.80/0.92 ( 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))
% 0.80/0.92 | ~ 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))
% 0.80/0.92 | ~ 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)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_wf__union__compatible_0,axiom,
% 0.80/0.92 ( 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)
% 0.80/0.92 | ~ 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))
% 0.80/0.92 | ~ c_Wellfounded_Owf(V_S,T_a)
% 0.80/0.92 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup1E_0,axiom,
% 0.80/0.92 ( hBOOL(hAPP(V_B,V_x))
% 0.80/0.92 | hBOOL(hAPP(V_A,V_x))
% 0.80/0.92 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup1CI_0,axiom,
% 0.80/0.92 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.80/0.92 | ~ hBOOL(hAPP(V_B,V_x)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup1CI_1,axiom,
% 0.80/0.92 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.80/0.92 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Times__Int__distrib1_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_refl__on__Un_0,axiom,
% 0.80/0.92 ( 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)
% 0.80/0.92 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 0.80/0.92 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_inf__sup__aci_I2_J_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.92 | 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) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_inf__sup__aci_I3_J_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.92 | 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) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_inf__left__commute_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.92 | 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) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_inf__assoc_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.92 | 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) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Int__assoc_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Int__left__commute_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup__bot__right_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup__bot__left_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.92 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__empty__left_0,axiom,
% 0.80/0.92 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 ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__empty__right_0,axiom,
% 0.80/0.92 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 ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_empty__Diff_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_insert__times__insert_0,axiom,
% 0.80/0.92 c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)),tc_prod(T_a,T_b)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__Int__distrib_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__Int__distrib2_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_image__constant__conv_1,axiom,
% 0.80/0.92 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.92 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__mono_0,axiom,
% 0.80/0.92 ( 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))
% 0.80/0.92 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_distrib__sup__le_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.92 | 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) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Diff__Int2_0,axiom,
% 0.80/0.92 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)) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup__inf__absorb_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_wf__def_1,axiom,
% 0.80/0.92 ( hBOOL(hAPP(V_P,V_xb))
% 0.80/0.92 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a)))
% 0.80/0.92 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_acyclic__converse_0,axiom,
% 0.80/0.92 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.80/0.92 | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_acyclic__converse_1,axiom,
% 0.80/0.92 ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.80/0.92 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_equalityI_0,axiom,
% 0.80/0.92 ( V_A = V_B
% 0.80/0.92 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_set__eq__subset_2,axiom,
% 0.80/0.92 ( V_A = V_B
% 0.80/0.92 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.92 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_order__eq__iff_2,axiom,
% 0.80/0.92 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.92 | V_x = V_y
% 0.80/0.92 | ~ c_lessequals(V_y,V_x,T_a)
% 0.80/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_order__antisym_0,axiom,
% 0.80/0.92 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.92 | V_x = V_y
% 0.80/0.92 | ~ c_lessequals(V_y,V_x,T_a)
% 0.80/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_order__antisym__conv_0,axiom,
% 0.80/0.92 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.92 | V_x = V_y
% 0.80/0.92 | ~ c_lessequals(V_x,V_y,T_a)
% 0.80/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_inf__sup__absorb_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.92 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__Diff__Int_0,axiom,
% 0.80/0.92 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 ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_sup__absorb1_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x
% 0.80/0.92 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_le__iff__sup_1,axiom,
% 0.80/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y
% 0.80/0.92 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_le__iff__sup_0,axiom,
% 0.80/0.92 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.92 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y
% 0.80/0.92 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__absorb1_0,axiom,
% 0.80/0.92 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B
% 0.80/0.92 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_Un__absorb2_0,axiom,
% 0.80/0.92 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A
% 0.80/0.92 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_subset__Un__eq_1,axiom,
% 0.80/0.92 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B
% 0.80/0.92 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_refl__on__Int_0,axiom,
% 0.80/0.92 ( 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)
% 0.80/0.92 | ~ c_Relation_Orefl__on(V_B,V_s,T_a)
% 0.80/0.92 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_doubleton__eq__iff_0,axiom,
% 0.80/0.92 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.80/0.92 | V_a = V_d
% 0.80/0.92 | V_a = V_c ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_doubleton__eq__iff_1,axiom,
% 0.80/0.92 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.80/0.92 | V_b = V_c
% 0.80/0.92 | V_a = V_c ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_doubleton__eq__iff_2,axiom,
% 0.80/0.92 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.80/0.92 | V_a = V_d
% 0.80/0.92 | V_b = V_d ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_doubleton__eq__iff_3,axiom,
% 0.80/0.92 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)
% 0.80/0.92 | V_b = V_c
% 0.80/0.92 | V_b = V_d ) ).
% 0.80/0.92
% 0.80/0.92 cnf(cls_trancl__subset__Sigma_0,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | ~ 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)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_rtrancl__subset__rtrancl_0,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__empty_0,axiom,
% 0.80/0.93 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__empty_1,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_empty__not__insert_0,axiom,
% 0.80/0.93 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__insert__left_0,axiom,
% 0.80/0.93 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.93 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__insert__right_0,axiom,
% 0.80/0.93 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.93 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_image__insert_0,axiom,
% 0.80/0.93 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__mono_0,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_converse__Un_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__ord_I1_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__ord_I2_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__greatest_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_z,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__inf__iff_2,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_z,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__infI_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_b,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__le2_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__le1_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__lower1_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__lower2_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__greatest_0,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__sup__iff_2,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)
% 0.80/0.93 | ~ c_lessequals(V_y,V_z,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_z,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__ord_I4_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__ord_I3_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__commute_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__commute_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__aci_I1_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_wf__acyclic_0,axiom,
% 0.80/0.93 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.80/0.93 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Diff__partition_0,axiom,
% 0.80/0.93 ( 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
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_distrib__inf__le_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_rtrancl__subset_0,axiom,
% 0.80/0.93 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a)
% 0.80/0.93 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Diff__subset_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__Diff__single_0,axiom,
% 0.80/0.93 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_singleton__inject_0,axiom,
% 0.80/0.93 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.93 | V_a = V_b ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__Int__crazy_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Field__insert_0,axiom,
% 0.80/0.93 c_Relation_OField(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),c_Relation_OField(V_r,T_a),tc_fun(T_a,tc_bool)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Field__converse_0,axiom,
% 0.80/0.93 c_Relation_OField(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_OField(V_r,T_a) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__subset_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.80/0.93 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Sigma__Un__distrib1_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__code_2,axiom,
% 0.80/0.93 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
% 0.80/0.93 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__insert__iff_2,axiom,
% 0.80/0.93 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__insert__iff_1,axiom,
% 0.80/0.93 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.93 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__insert_1,axiom,
% 0.80/0.93 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__insert_0,axiom,
% 0.80/0.93 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.93 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_converse__Int_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__insert__right_1,axiom,
% 0.80/0.93 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__insert__left_1,axiom,
% 0.80/0.93 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.93 | hBOOL(c_in(V_a,V_C,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_strict__linear__order__on__def_2,axiom,
% 0.80/0.93 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.80/0.93 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__empty_1,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__empty_0,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_sup__eq__bot__eq1_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.93 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.80/0.93 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_sup__eq__bot__eq2_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Obounded__lattice(T_a)
% 0.80/0.93 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a)
% 0.80/0.93 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__Diff__cancel2_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__Diff__cancel_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_rel__comp__distrib2_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_rel__comp__distrib_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Field__Un_0,axiom,
% 0.80/0.93 c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_fun__diff__def_0,axiom,
% 0.80/0.93 ( ~ class_HOL_Ominus(T_b)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__subset__iff_1,axiom,
% 0.80/0.93 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ 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)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__subset__iff_0,axiom,
% 0.80/0.93 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ 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)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__infE_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,V_a,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__infE_1,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,V_b,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__infI1_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.80/0.93 | ~ c_lessequals(V_a,V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__infI2_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a)
% 0.80/0.93 | ~ c_lessequals(V_b,V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__inf__iff_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,V_y,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__inf__iff_1,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,V_z,T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__Diff_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Field__def__raw_0,axiom,
% 0.80/0.93 c_Relation_OField(v_r,t_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__commute_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_sup__commute_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__aci_I5_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Domain__Un__eq_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__is__Un_0,axiom,
% 0.80/0.93 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_acc__subset_0,axiom,
% 0.80/0.93 ( c_lessequals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__left__absorb_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_sup__left__idem_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__aci_I8_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Diff__disjoint_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Range__Int__subset_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_wf__induct__rule_1,axiom,
% 0.80/0.93 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.93 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a)))
% 0.80/0.93 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_rtrancl__Un__rtrancl_0,axiom,
% 0.80/0.93 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) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__Diff__if_1,axiom,
% 0.80/0.93 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.93 | hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__insert__iff_4,axiom,
% 0.80/0.93 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf1E_1,axiom,
% 0.80/0.93 ( hBOOL(hAPP(V_B,V_x))
% 0.80/0.93 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf1E_0,axiom,
% 0.80/0.93 ( hBOOL(hAPP(V_A,V_x))
% 0.80/0.93 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Range__insert_0,axiom,
% 0.80/0.93 c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a) = c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_sym__Int_0,axiom,
% 0.80/0.93 ( 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)
% 0.80/0.93 | ~ c_Relation_Osym(V_s,T_a)
% 0.80/0.93 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Diff__insert__absorb_0,axiom,
% 0.80/0.93 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A
% 0.80/0.93 | hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Diff__subset__conv_1,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | ~ 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)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Diff__subset__conv_0,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | ~ 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)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_cuts__eq_2,axiom,
% 0.80/0.93 ( hAPP(V_f,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b))
% 0.80/0.93 | c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_acyclic__insert_0,axiom,
% 0.80/0.93 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.80/0.93 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__funD_0,axiom,
% 0.80/0.93 ( ~ class_HOL_Oord(T_b)
% 0.80/0.93 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b)
% 0.80/0.93 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__iff_2,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_IntI_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__iff_2,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insertCI_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__iff_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_t,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_t,V_A,T_a))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_set__rev__mp_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subsetD_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_A,T_a))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_set__mp_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_x,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_UnCI_1,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_UnCI_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insertE_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.80/0.93 | V_a = V_b
% 0.80/0.93 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_UnE_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | hBOOL(c_in(V_c,V_A,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_DiffE_1,axiom,
% 0.80/0.93 ( ~ hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_DiffE_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__iff_1,axiom,
% 0.80/0.93 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insertI1_0,axiom,
% 0.80/0.93 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insertCI_1,axiom,
% 0.80/0.93 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_IntE_1,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_IntE_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,V_A,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Diff__iff_2,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.80/0.93 | hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_DiffI_0,axiom,
% 0.80/0.93 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a))
% 0.80/0.93 | hBOOL(c_in(V_c,V_B,T_a))
% 0.80/0.93 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__ident_0,axiom,
% 0.80/0.93 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a)
% 0.80/0.93 | hBOOL(c_in(V_x,V_B,T_a))
% 0.80/0.93 | hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.93 | V_A = V_B ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__absorb_0,axiom,
% 0.80/0.93 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A
% 0.80/0.93 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_snd__conv_0,axiom,
% 0.80/0.93 hAPP(c_snd(T_b,T_a),c_Pair(V_a,V_b,T_b,T_a)) = V_b ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_snd__eqD_0,axiom,
% 0.80/0.93 V_y = hAPP(c_snd(T_b,T_a),c_Pair(V_x,V_y,T_b,T_a)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_conjI__realizer_1,axiom,
% 0.80/0.93 ( hBOOL(hAPP(V_Q,hAPP(c_snd(T_a,T_b),c_Pair(V_p,V_q,T_a,T_b))))
% 0.80/0.93 | ~ hBOOL(hAPP(V_Q,V_q))
% 0.80/0.93 | ~ hBOOL(hAPP(V_P,V_p)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_strict__linear__order__on__def_0,axiom,
% 0.80/0.93 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.93 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_trans__Int_0,axiom,
% 0.80/0.93 ( 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)
% 0.80/0.93 | ~ c_Relation_Otrans(V_s,T_a)
% 0.80/0.93 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__subset__iff_2,axiom,
% 0.80/0.93 ( 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))
% 0.80/0.93 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Times__Un__distrib1_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_sup__inf__distrib2_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_sup__inf__distrib1_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Odistrib__lattice(T_a)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__Int__distrib_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__Int__distrib2_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__code_1,axiom,
% 0.80/0.93 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__subset_2,axiom,
% 0.80/0.93 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Times__Diff__distrib1_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__sup__aci_I4_J_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_a)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__left__idem_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__left__absorb_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_mono__Field_0,axiom,
% 0.80/0.93 ( c_lessequals(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Range__Un__eq_0,axiom,
% 0.80/0.93 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)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_wf__Int1_0,axiom,
% 0.80/0.93 ( 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)
% 0.80/0.93 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_wf__Int2_0,axiom,
% 0.80/0.93 ( 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)
% 0.80/0.93 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_insert__Diff_0,axiom,
% 0.80/0.93 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A
% 0.80/0.93 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__idem_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olower__semilattice(T_a)
% 0.80/0.93 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Int__absorb_0,axiom,
% 0.80/0.93 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Field__def_0,axiom,
% 0.80/0.93 c_Relation_OField(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_r,T_a,T_a),tc_fun(T_a,tc_bool)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__sup__iff_1,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_y,V_z,T_a)
% 0.80/0.93 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__sup__iff_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,V_z,T_a)
% 0.80/0.93 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__supI2_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_b,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__supI1_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)
% 0.80/0.93 | ~ c_lessequals(V_x,V_a,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__supE_1,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_b,V_x,T_a)
% 0.80/0.93 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_le__supE_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Oupper__semilattice(T_a)
% 0.80/0.93 | c_lessequals(V_a,V_x,T_a)
% 0.80/0.93 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__subset__iff_0,axiom,
% 0.80/0.93 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ 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)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_Un__subset__iff_1,axiom,
% 0.80/0.93 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ 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)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_inf__fun__eq_0,axiom,
% 0.80/0.93 ( ~ class_Lattices_Olattice(T_b)
% 0.80/0.93 | 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) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_xt1_I6_J_0,axiom,
% 0.80/0.93 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.93 | c_lessequals(V_z,V_x,T_a)
% 0.80/0.93 | ~ c_lessequals(V_z,V_y,T_a)
% 0.80/0.93 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_equalityE_0,axiom,
% 0.80/0.93 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__refl_0,axiom,
% 0.80/0.93 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_subset__trans_0,axiom,
% 0.80/0.93 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.93 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_predicate1D_0,axiom,
% 0.80/0.93 ( hBOOL(hAPP(V_Q,V_x))
% 0.80/0.93 | ~ hBOOL(hAPP(V_P,V_x))
% 0.80/0.93 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_wf__subset_0,axiom,
% 0.80/0.93 ( c_Wellfounded_Owf(V_p,T_a)
% 0.80/0.93 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.80/0.93 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.93
% 0.80/0.93 cnf(cls_order__eq__iff_0,axiom,
% 0.80/0.93 ( ~ class_Orderings_Oorder(T_a)
% 0.80/0.94 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_order__eq__refl_0,axiom,
% 0.80/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.94 | c_lessequals(V_x,V_x,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__subset_0,axiom,
% 0.80/0.94 ( c_Relation_Oantisym(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Oantisym(V_s,T_a)
% 0.80/0.94 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rev__predicate1D_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_Q,V_x))
% 0.80/0.94 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_x)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acyclic__subset_0,axiom,
% 0.80/0.94 ( c_Wellfounded_Oacyclic(V_r,T_a)
% 0.80/0.94 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.80/0.94 | ~ c_Wellfounded_Oacyclic(V_s,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_single__valued__subset_0,axiom,
% 0.80/0.94 ( c_Relation_Osingle__valued(V_r,T_a,T_b)
% 0.80/0.94 | ~ c_Relation_Osingle__valued(V_s,T_a,T_b)
% 0.80/0.94 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_order__trans_0,axiom,
% 0.80/0.94 ( ~ class_Orderings_Opreorder(T_a)
% 0.80/0.94 | c_lessequals(V_x,V_z,T_a)
% 0.80/0.94 | ~ c_lessequals(V_y,V_z,T_a)
% 0.80/0.94 | ~ c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Int__mono_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Diff__Un_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Int__Diff_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__subset__Field2_0,axiom,
% 0.80/0.94 c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(c_Relation_OField(V_r,T_a),c_COMBK(c_Relation_OField(V_r,T_a),tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Domain__mono_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_subset__singletonD_0,axiom,
% 0.80/0.94 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)
% 0.80/0.94 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Diff__Int_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_inf1I_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x))
% 0.80/0.94 | ~ hBOOL(hAPP(V_B,V_x))
% 0.80/0.94 | ~ hBOOL(hAPP(V_A,V_x)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_double__diff_0,axiom,
% 0.80/0.94 ( 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
% 0.80/0.94 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_le__eqI_0,axiom,
% 0.80/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.80/0.94 | c_lessequals(V_y_H,V_x_H,T_a)
% 0.80/0.94 | ~ c_lessequals(V_y,V_x,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_le__eqI_1,axiom,
% 0.80/0.94 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)
% 0.80/0.94 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)
% 0.80/0.94 | c_lessequals(V_y,V_x,T_a)
% 0.80/0.94 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__mono_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_subset__image__iff_2,axiom,
% 0.80/0.94 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool))
% 0.80/0.94 | 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)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_insert__mono_0,axiom,
% 0.80/0.94 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Un__empty_2,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__Un_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__mono_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__type_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_linorder__linear_0,axiom,
% 0.80/0.94 ( ~ class_Orderings_Olinorder(T_a)
% 0.80/0.94 | c_lessequals(V_y,V_x,T_a)
% 0.80/0.94 | c_lessequals(V_x,V_y,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__constant_0,axiom,
% 0.80/0.94 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b)
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_strict__linear__order__on__def_1,axiom,
% 0.80/0.94 ( c_Relation_Oirrefl(V_r,T_a)
% 0.80/0.94 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acyclic__insert_2,axiom,
% 0.80/0.94 ( c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acyclic__insert_1,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__rtrancl__induct_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__induct_1,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__Int__subset_0,axiom,
% 0.80/0.94 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.80/0.94 | ~ 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))
% 0.80/0.94 | ~ c_lessequals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom,
% 0.80/0.94 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.94 | hBOOL(c_in(V_x,V_xa,T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_singletonE_0,axiom,
% 0.80/0.94 ( V_b = V_a
% 0.80/0.94 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_disjoint__iff__not__equal_0,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(V_x,V_B,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.94 | 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)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_singleton__iff_1,axiom,
% 0.80/0.94 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_insert__image_0,axiom,
% 0.80/0.94 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__subset__iff_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.80/0.94 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__constant__conv_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Times__eq__cancel2_0,axiom,
% 0.80/0.94 ( 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)
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_C,T_a))
% 0.80/0.94 | V_A = V_B ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__insert_0,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(V_r,T_a)
% 0.80/0.94 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_in__rtrancl__UnI_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_in__rtrancl__UnI_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,c_Transitive__Closure_Ortrancl(V_S,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__mono_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_p,c_Transitive__Closure_Otrancl(V_s,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.80/0.94 | ~ hBOOL(c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Field__empty_0,axiom,
% 0.80/0.94 c_Relation_OField(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__union__merge_0,axiom,
% 0.80/0.94 ( 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)
% 0.80/0.94 | ~ 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) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__union__merge_1,axiom,
% 0.80/0.94 ( 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)
% 0.80/0.94 | ~ 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) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__Un_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_s,T_a)
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a)
% 0.80/0.94 | 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) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__unfold_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_union__comp__emptyL_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | 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))
% 0.80/0.94 | 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)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_union__comp__emptyR_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | 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))
% 0.80/0.94 | 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)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__reflcl__absorb_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__reflcl_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__r__diff__Id_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acyclic__impl__antisym__rtrancl_0,axiom,
% 0.80/0.94 ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 0.80/0.94 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trans__O__subset_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__Un__converse_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__Int__converse_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trans__reflclI_0,axiom,
% 0.80/0.94 ( 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)
% 0.80/0.94 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__Id__on_0,axiom,
% 0.80/0.94 c_Relation_OImage(c_Relation_OId__on(V_A,T_a),V_B,T_a,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__reflcl_0,axiom,
% 0.80/0.94 ( c_Relation_Oantisym(V_r,T_a)
% 0.80/0.94 | ~ 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) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__reflcl_1,axiom,
% 0.80/0.94 ( 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)
% 0.80/0.94 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_total__on__diff__Id_0,axiom,
% 0.80/0.94 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.80/0.94 | ~ 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) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_total__on__diff__Id_1,axiom,
% 0.80/0.94 ( 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)
% 0.80/0.94 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_snd__eq__Range_0,axiom,
% 0.80/0.94 c_Set_Oimage(c_snd(T_b,T_a),V_R,tc_prod(T_b,T_a),T_a) = c_Relation_ORange(V_R,T_b,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__subset__Sigma__aux_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.80/0.94 | V_a = V_b
% 0.80/0.94 | ~ 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))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__class__subset_0,axiom,
% 0.80/0.94 ( c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_irrefl__diff__Id_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Refl__antisym__eq__Image1__Image1__iff_0,axiom,
% 0.80/0.94 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(V_b,c_Relation_OField(V_r,T_a),T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_a,c_Relation_OField(V_r,T_a),T_a))
% 0.80/0.94 | ~ c_Relation_Oantisym(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Orefl__on(c_Relation_OField(V_r,T_a),V_r,T_a)
% 0.80/0.94 | V_a = V_b ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__in__rel_0,axiom,
% 0.80/0.94 ( c_Wellfounded_OwfP(c_FunDef_Oin__rel(V_R,T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_SigmaE_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(V_A,V_B,V_c,T_a,T_b),V_A,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_c,c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtranclE_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | V_a = V_b
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__rtranclE_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | V_x = V_z
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__rtranclE_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | V_x = V_z
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__rtrancl__induct_2,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__rtrancl__induct_1,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__induct_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__induct_3,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl_Ocases_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a)))
% 0.80/0.94 | V_a2 = V_a1
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__induct_2,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl_Ocases_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.94 | V_a2 = V_a1
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__rtrancl__induct_3,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a)))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,V_b))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtranclE_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | V_a = V_b
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__induct__rule_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__def_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_xa))
% 0.80/0.94 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_tfl__wf__induct_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_Ra))
% 0.80/0.94 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_y,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__induct_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_irrefl__trancl__rD_0,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__tranclE_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_tranclD_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl_Ocases_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a1,v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_a1,V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acyclic__def_0,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_tranclE_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_tranclE_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_tranclD2_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),V_R,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__tranclE_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl_Ocases_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_a1,V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_subset__equiv__class_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_b,V_A,T_a))
% 0.80/0.94 | ~ c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__class__nondisjoint_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)),T_a))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rel__compEpair_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),V_c,T_c,T_b),V_s,tc_prod(T_c,T_b)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rel__compEpair_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),T_a,T_c),V_r,tc_prod(T_a,T_c)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_IdE_0,axiom,
% 0.80/0.94 ( V_p = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),T_a,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(V_p,c_Relation_OId(T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wfE__pf_0,axiom,
% 0.80/0.94 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_lessequals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Sigma__empty2_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__acc__iff_1,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(V_r,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc__wfI_0,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(V_r,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Id__onE_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),V_A,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Id__onE_1,axiom,
% 0.80/0.94 ( V_c = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),T_a,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_cuts__eq_1,axiom,
% 0.80/0.94 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)
% 0.80/0.94 | hBOOL(c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_reflcl__trancl_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__reflcl_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Nitpick_Ortrancl__def_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__unfold_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_refl__on__comp__subset_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Range__def__raw_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_irrefl__def_1,axiom,
% 0.80/0.94 ( c_Relation_Oirrefl(V_r,T_a)
% 0.80/0.94 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__Int__eq_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trans__diff__Id_0,axiom,
% 0.80/0.94 ( 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)
% 0.80/0.94 | ~ c_Relation_Oantisym(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Nitpick_Orefl_H__def_1,axiom,
% 0.80/0.94 ( c_Nitpick_Orefl_H(V_r,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_strict__linear__order__on__def_3,axiom,
% 0.80/0.94 ( c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Oirrefl(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__insert_1,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__insert_2,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a)
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_tranclD2_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_tranclD_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__class__self_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_a,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__trans__comp__subset_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | ~ c_Relation_Otrans(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__singleton__iff_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__singleton__iff_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__class__eq__iff_0,axiom,
% 0.80/0.94 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__class__eq_0,axiom,
% 0.80/0.94 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_eq__equiv__class_0,axiom,
% 0.80/0.94 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_b,V_A,T_a))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__class__eq__iff_3,axiom,
% 0.80/0.94 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_eq__equiv__class__iff_1,axiom,
% 0.80/0.94 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_eq__equiv__class__iff_0,axiom,
% 0.80/0.94 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a)
% 0.80/0.94 | ~ hBOOL(c_in(V_y,V_A,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a)
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_irrefl__tranclI_0,axiom,
% 0.80/0.94 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_bex__empty_0,axiom,
% 0.80/0.94 ( ~ hBOOL(hAPP(V_P,V_x))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rev__image__eqI_0,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(V_x,V_A,T_aa))
% 0.80/0.94 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__iff_2,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(V_x,V_A,T_b))
% 0.80/0.94 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__eqI_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_imageI_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_curry__conv_0,axiom,
% 0.80/0.94 hAPP(hAPP(c_curry(V_f,T_b,T_c,T_a),V_a),V_b) = hAPP(V_f,c_Pair(V_a,V_b,T_b,T_c)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_splitD_H_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(hAPP(hAPP(V_R,V_a),V_b),V_c))
% 0.80/0.94 | ~ hBOOL(hAPP(hAPP(c_split(V_R,T_a,T_b,tc_fun(T_c,tc_bool)),c_Pair(V_a,V_b,T_a,T_b)),V_c)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_split__case__cert_0,axiom,
% 0.80/0.94 hAPP(c_split(V_f,T_a,T_b,T_c),c_Pair(V_a,V_b,T_a,T_b)) = hAPP(hAPP(V_f,V_a),V_b) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Product__Type_Osplit_0,axiom,
% 0.80/0.94 hAPP(c_split(V_f,T_b,T_c,T_a),c_Pair(V_a,V_b,T_b,T_c)) = hAPP(hAPP(V_f,V_a),V_b) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__converseI_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__converseD_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__trancl__trancl_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__rtrancl__trancl_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__into__rtrancl_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_single__valued__confluent_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_z,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ c_Relation_Osingle__valued(V_r,T_a,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__converseD_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__converseI_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtranclD_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | V_a = V_b
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__eq__or__trancl_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | V_x = V_y
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__eq__or__trancl_2,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | V_x = V_y ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__into__trancl1_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__into__trancl2_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_r__into__trancl_H_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_p,V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_r__into__rtrancl_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_p,V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv_Otrans_0,axiom,
% 0.80/0.94 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trans__Id_0,axiom,
% 0.80/0.94 c_Relation_Otrans(c_Relation_OId(T_a),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trans__inv__image_0,axiom,
% 0.80/0.94 ( c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 0.80/0.94 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trans__converse_1,axiom,
% 0.80/0.94 ( c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trans__converse_0,axiom,
% 0.80/0.94 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_emptyE_0,axiom,
% 0.80/0.94 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_empty__iff_0,axiom,
% 0.80/0.94 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_ball__empty_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_ex__in__conv_0,axiom,
% 0.80/0.94 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc__wfD_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_single__valued__Id__on_0,axiom,
% 0.80/0.94 c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_ImageE_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b))
% 0.80/0.94 | ~ hBOOL(c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__trancl_0,axiom,
% 0.80/0.94 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 0.80/0.94 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc__induct_2,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc_Oinducts_2,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r)))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__no__loop_0,axiom,
% 0.80/0.94 ( 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))
% 0.80/0.94 | c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc__induct__rule_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__converse_0,axiom,
% 0.80/0.94 ( c_Relation_Osym(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__converse_1,axiom,
% 0.80/0.94 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__domain_0,axiom,
% 0.80/0.94 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__iff_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b))
% 0.80/0.94 | ~ hBOOL(c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_empty__is__image_1,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Domain__empty__iff_0,axiom,
% 0.80/0.94 ( c_Relation_ODomain(V_r,T_a,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.94 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Sigma__empty1_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_not__acc__down_1,axiom,
% 0.80/0.94 ( ~ hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),c_Wellfounded_Oacc(V_R,T_a),T_a))
% 0.80/0.94 | hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__Id_0,axiom,
% 0.80/0.94 c_Relation_Osym(c_Relation_OId(T_a),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_curry__split_0,axiom,
% 0.80/0.94 c_curry(c_split(V_f,T_a,T_b,T_c),T_a,T_b,T_c) = V_f ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Id__O__R_0,axiom,
% 0.80/0.94 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_R__O__Id_0,axiom,
% 0.80/0.94 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__Id__on_0,axiom,
% 0.80/0.94 c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_split__curry_0,axiom,
% 0.80/0.94 c_split(c_curry(V_f,T_a,T_b,T_c),T_a,T_b,T_c) = V_f ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__empty_0,axiom,
% 0.80/0.94 c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__converse__trancl_0,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc__induct__rule_2,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a)))
% 0.80/0.94 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_refl__on__converse_0,axiom,
% 0.80/0.94 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_refl__on__converse_1,axiom,
% 0.80/0.94 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Id__on__empty_0,axiom,
% 0.80/0.94 c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__rtrancl_0,axiom,
% 0.80/0.94 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a)
% 0.80/0.94 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__comp__self_0,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__comp__self_1,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(V_R,T_a)
% 0.80/0.94 | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__Id_0,axiom,
% 0.80/0.94 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__empty_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_single__valued__Id_0,axiom,
% 0.80/0.94 c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Domain__Id__on_0,axiom,
% 0.80/0.94 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__conv__converse__eq_0,axiom,
% 0.80/0.94 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r
% 0.80/0.94 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__conv__converse__eq_1,axiom,
% 0.80/0.94 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r
% 0.80/0.94 | c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Domain__empty_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__range_0,axiom,
% 0.80/0.94 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__rel__comp_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__Id__on_0,axiom,
% 0.80/0.94 c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_refl__on__Id__on_0,axiom,
% 0.80/0.94 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__inv__image_0,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_r__comp__rtrancl__eq_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_bot__fun__eq_0,axiom,
% 0.80/0.94 ( ~ class_Orderings_Obot(T_b)
% 0.80/0.94 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_sym__inv__image_0,axiom,
% 0.80/0.94 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b)
% 0.80/0.94 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__empty_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_empty__is__image_0,axiom,
% 0.80/0.94 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a)
% 0.80/0.94 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__trancl__absorb_0,axiom,
% 0.80/0.94 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rel__comp__empty1_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rel__comp__empty2_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__Id_0,axiom,
% 0.80/0.94 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__trancl_0,axiom,
% 0.80/0.94 ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a)
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Image__empty_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_O__assoc_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__inv__image_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__converse_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__Id__on_0,axiom,
% 0.80/0.94 c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a) = c_Relation_OId__on(V_A,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_comp__equivI_0,axiom,
% 0.80/0.94 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r
% 0.80/0.94 | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__Id_0,axiom,
% 0.80/0.94 c_Relation_Oantisym(c_Relation_OId(T_a),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Range__converse_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wf__eq__minimal_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_xa,V_Q,T_a))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Range__Id__on_0,axiom,
% 0.80/0.94 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_single__valued__rel__comp_0,axiom,
% 0.80/0.94 ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c)
% 0.80/0.94 | ~ c_Relation_Osingle__valued(V_s,T_b,T_c)
% 0.80/0.94 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_converse__converse_0,axiom,
% 0.80/0.94 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv__comp__eq_0,axiom,
% 0.80/0.94 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) = V_r
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__idemp__self__comp_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__converse_0,axiom,
% 0.80/0.94 ( c_Relation_Oantisym(V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__converse_1,axiom,
% 0.80/0.94 ( c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_bot1E_0,axiom,
% 0.80/0.94 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_bot2E_0,axiom,
% 0.80/0.94 ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_bool))),V_x),V_y)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc_Oinduct_2,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.94 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r)))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv_Orefl__on_0,axiom,
% 0.80/0.94 ( c_Relation_Orefl__on(V_A,V_r,T_a)
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_antisym__empty_0,axiom,
% 0.80/0.94 c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Range__empty_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_rtrancl__converse_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_refl__on__empty_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_wfE__min_0,axiom,
% 0.80/0.94 ( hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),V_Q,T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_x,V_Q,T_a))
% 0.80/0.94 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_total__on__empty_0,axiom,
% 0.80/0.94 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_equiv_Osym_0,axiom,
% 0.80/0.94 ( c_Relation_Osym(V_r,T_a)
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc_OaccI_1,axiom,
% 0.80/0.94 ( hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.94 | ~ hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_congruent2__implies__congruent_0,axiom,
% 0.80/0.94 ( c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c)
% 0.80/0.94 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.80/0.94 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c)
% 0.80/0.94 | ~ c_Equiv__Relations_Oequiv(V_A,V_r1,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Domain__converse_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__unfold__right_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__unfold__left_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_image__is__empty_0,axiom,
% 0.80/0.94 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.94 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Range__def_0,axiom,
% 0.80/0.94 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) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_total__on__converse_0,axiom,
% 0.80/0.94 ( c_Relation_Ototal__on(V_A,V_r,T_a)
% 0.80/0.94 | ~ c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_total__on__converse_1,axiom,
% 0.80/0.94 ( c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a)
% 0.80/0.94 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_acc__induct_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.94 | hBOOL(c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.94 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_in__inv__imagep_0,axiom,
% 0.80/0.94 ( hBOOL(hAPP(hAPP(V_r,hAPP(V_f,V_x)),hAPP(V_f,V_y)))
% 0.80/0.94 | ~ hBOOL(c_Predicate_Oinv__imagep(V_r,V_f,V_x,V_y,T_a,T_b)) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_in__inv__imagep_1,axiom,
% 0.80/0.94 ( hBOOL(c_Predicate_Oinv__imagep(V_r,V_f,V_x,V_y,T_a,T_b))
% 0.80/0.94 | ~ hBOOL(hAPP(hAPP(V_r,hAPP(V_f,V_x)),hAPP(V_f,V_y))) ) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_trancl__empty_0,axiom,
% 0.80/0.94 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)) ).
% 0.80/0.94
% 0.80/0.94 cnf(cls_Range__empty__iff_0,axiom,
% 0.80/0.95 ( c_Relation_ORange(V_r,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))
% 0.80/0.95 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trancl__rtrancl__absorb_0,axiom,
% 0.80/0.95 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_rtrancl__idemp_0,axiom,
% 0.80/0.95 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trans__rtrancl_0,axiom,
% 0.80/0.95 c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trans__trancl_0,axiom,
% 0.80/0.95 c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trans__Id__on_0,axiom,
% 0.80/0.95 c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trancl__id_0,axiom,
% 0.80/0.95 ( c_Transitive__Closure_Otrancl(V_r,T_a) = V_r
% 0.80/0.95 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_ImageE_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_not__acc__down_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a),V_R,tc_prod(T_a,T_a)))
% 0.80/0.95 | hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc__induct__rule_1,axiom,
% 0.80/0.95 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.95 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc_Oinduct_1,axiom,
% 0.80/0.95 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.95 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_wfE__min_1,axiom,
% 0.80/0.95 ( ~ hBOOL(c_in(V_y,V_Q,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,V_Q,T_a))
% 0.80/0.95 | ~ c_Wellfounded_Owf(V_R,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_RangeE_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc_OaccI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.95 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc__downwards__aux_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc__downwards_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc_Oinducts_0,axiom,
% 0.80/0.95 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.95 | hBOOL(c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Not__Domain__rtrancl_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a))
% 0.80/0.95 | hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc_Oinducts_1,axiom,
% 0.80/0.95 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.95 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_pair__imageI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(hAPP(hAPP(V_f,V_a),V_b),c_Set_Oimage(c_split(V_f,T_a,T_b,T_c),V_A,tc_prod(T_a,T_b),T_c),T_c))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),V_A,tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_DomainE_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc_Oinduct_0,axiom,
% 0.80/0.95 ( hBOOL(hAPP(V_P,V_x))
% 0.80/0.95 | hBOOL(c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc__induct_1,axiom,
% 0.80/0.95 ( hBOOL(hAPP(V_P,V_a))
% 0.80/0.95 | hBOOL(hAPP(V_P,V_y))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_wf__eq__minimal_1,axiom,
% 0.80/0.95 ( ~ hBOOL(c_in(V_y,V_Q,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_xa,V_Q,T_a))
% 0.80/0.95 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Domain__iff_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Image__iff_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Not__Domain__rtrancl_0,axiom,
% 0.80/0.95 ( V_x = V_y
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | hBOOL(c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Range__iff_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_transI_2,axiom,
% 0.80/0.95 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XtransI__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__XtransI__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_transI_1,axiom,
% 0.80/0.95 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.95 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XtransI__1__2(V_r,T_a),c_ATP__Linkup_Osko__Relation__XtransI__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trans__def_1,axiom,
% 0.80/0.95 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.95 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trans__def_3,axiom,
% 0.80/0.95 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xtrans__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_transI_0,axiom,
% 0.80/0.95 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.95 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XtransI__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__XtransI__1__2(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trans__def_2,axiom,
% 0.80/0.95 ( c_Relation_Otrans(V_r,T_a)
% 0.80/0.95 | hBOOL(c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xtrans__def__1__2(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xtrans__def__1__3(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_curry__def_0,axiom,
% 0.80/0.95 hAPP(hAPP(c_curry(v_c,t_a,t_b,t_c),v_x),v_y) = hAPP(v_c,c_Pair(v_x,v_y,t_a,t_b)) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_mem__splitI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_z,hAPP(c_split(V_c,T_b,T_c,tc_fun(T_a,tc_bool)),c_Pair(V_a,V_b,T_b,T_c)),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(V_z,hAPP(hAPP(V_c,V_a),V_b),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_congruent2_Ocongruent2_0,axiom,
% 0.80/0.95 ( hAPP(hAPP(V_f,V_y1),V_y2) = hAPP(hAPP(V_f,V_z1),V_z2)
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y2,V_z2,T_b,T_b),V_r2,tc_prod(T_b,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y1,V_z1,T_a,T_a),V_r1,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_single__valuedD_0,axiom,
% 0.80/0.95 ( V_y = V_z
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_b),V_r,tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_b),V_r,tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_tfl__cut__apply_0,axiom,
% 0.80/0.95 ( hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_a,T_a,T_a),V_R,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_cut__apply_0,axiom,
% 0.80/0.95 ( hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x)
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_in__rel__def_1,axiom,
% 0.80/0.95 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(V_R,T_a,T_b),V_x),V_y))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_in__rel__def_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(V_R,T_a,T_b),V_x),V_y)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_converse__iff_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_converseI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_b,V_a,T_b,T_a),c_Relation_Oconverse(V_r,T_a,T_b),tc_prod(T_b,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_converseD_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_irrefl__def_0,axiom,
% 0.80/0.95 ( ~ hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Oirrefl(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trancl__into__trancl2_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_converse__rtrancl__into__rtrancl_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trancl_Or__into__trancl_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_rtrancl__trans_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_rtrancl_Ortrancl__refl_0,axiom,
% 0.80/0.95 hBOOL(c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_rtrancl__eq__or__trancl_1,axiom,
% 0.80/0.95 hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a))) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_wf__asym_0,axiom,
% 0.80/0.95 ( ~ hBOOL(c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_antisym__def_0,axiom,
% 0.80/0.95 ( V_x = V_y
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_antisymD_0,axiom,
% 0.80/0.95 ( V_a = V_b
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Oantisym(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_congruent_Ocongruent_0,axiom,
% 0.80/0.95 ( hAPP(V_f,V_y) = hAPP(V_f,V_z)
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Id__on__iff_0,axiom,
% 0.80/0.95 ( V_x = V_y
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_cuts__eq_0,axiom,
% 0.80/0.95 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) != c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b)
% 0.80/0.95 | hAPP(V_f,V_y) = hAPP(V_g,V_y)
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_pair__in__Id__conv_0,axiom,
% 0.80/0.95 ( V_a = V_b
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Nitpick_Orefl_H__def_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Nitpick_Orefl_H(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_wf__irrefl_0,axiom,
% 0.80/0.95 ( ~ hBOOL(c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Wellfounded_Owf(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_in__inv__image_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_in__inv__image_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_sym__def_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_symD_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Osym(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_rel__compI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_prod(T_a,T_c)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_b,T_c),V_s,tc_prod(T_b,T_c)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_r__r__into__trancl_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),V_R,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_R,tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trancl__trans_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_pair__in__Id__conv_1,axiom,
% 0.80/0.95 hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a))) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_IdI_0,axiom,
% 0.80/0.95 hBOOL(c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a))) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_bot__empty__eq_0,axiom,
% 0.80/0.95 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) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_in__rel__def__raw_0,axiom,
% 0.80/0.95 hAPP(hAPP(c_FunDef_Oin__rel(v_R,t_a,t_b),v_x),v_y) = c_in(c_Pair(v_x,v_y,t_a,t_b),v_R,tc_prod(t_a,t_b)) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_bot__empty__eq2_0,axiom,
% 0.80/0.95 hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_fun(t_b,tc_bool))),v_x),v_y) = c_in(c_Pair(v_x,v_y,t_a,t_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(t_a,t_b),tc_bool)),tc_prod(t_a,t_b)) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_inv__imagep__def_0,axiom,
% 0.80/0.95 c_Predicate_Oinv__imagep(V_r,V_f,v_x,v_y,T_b,t_a) = hAPP(hAPP(V_r,hAPP(V_f,v_x)),hAPP(V_f,v_y)) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_mem__Sigma__iff_2,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_SigmaI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc__downward_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_acc_Ocases_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_rev__ImageI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Image__iff_2,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Id__on__iff_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Id__on__eqI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_equiv__class__eq__iff_2,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_y,V_A,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_equiv__class__eq__iff_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Range__iff_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_RangeI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Domain__iff_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_DomainI_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_SigmaD2_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_SigmaD1_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_a,V_A,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b))) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_total__on__def_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | hBOOL(c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | V_x = V_xa
% 0.80/0.95 | ~ hBOOL(c_in(V_xa,V_A,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.95 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_refl__on__def_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.95 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_refl__onD2_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_y,V_A,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_refl__onD1_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_x,V_A,T_a))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_refl__onD_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(V_a,V_A,T_a))
% 0.80/0.95 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Pair__eq_1,axiom,
% 0.80/0.95 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.80/0.95 | V_b = V_b_H ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_Pair__eq_0,axiom,
% 0.80/0.95 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b)
% 0.80/0.95 | V_a = V_a_H ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_trans__def_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_transD_0,axiom,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_a,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ hBOOL(c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)))
% 0.80/0.95 | ~ c_Relation_Otrans(V_r,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_mem__def_1,axiom,
% 0.80/0.95 ( hBOOL(c_in(V_x,V_S,T_a))
% 0.80/0.95 | ~ hBOOL(hAPP(V_S,V_x)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_mem__def_0,axiom,
% 0.80/0.95 ( hBOOL(hAPP(V_S,V_x))
% 0.80/0.95 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_conjecture_0,negated_conjecture,
% 0.80/0.95 v_x != v_y ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_conjecture_1,negated_conjecture,
% 0.80/0.95 c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_conjecture_2,negated_conjecture,
% 0.80/0.95 ~ hBOOL(c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_conjecture_3,negated_conjecture,
% 0.80/0.95 hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_conjecture_4,negated_conjecture,
% 0.80/0.95 hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_conjecture_5,negated_conjecture,
% 0.80/0.95 ( hBOOL(c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
% 0.80/0.95 | hBOOL(c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
% 0.80/0.95 | V_x = V_y ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom,
% 0.80/0.95 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom,
% 0.80/0.95 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom,
% 0.80/0.95 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Lattices_Odistrib__lattice(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom,
% 0.80/0.95 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Lattices_Obounded__lattice(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Orderings_Opreorder,axiom,
% 0.80/0.95 ( class_Orderings_Opreorder(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Orderings_Opreorder(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Lattices_Olattice,axiom,
% 0.80/0.95 ( class_Lattices_Olattice(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Lattices_Olattice(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Orderings_Oorder,axiom,
% 0.80/0.95 ( class_Orderings_Oorder(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Orderings_Oorder(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__Orderings_Obot,axiom,
% 0.80/0.95 ( class_Orderings_Obot(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_Orderings_Obot(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__HOL_Ominus,axiom,
% 0.80/0.95 ( class_HOL_Ominus(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_HOL_Ominus(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_fun__HOL_Oord,axiom,
% 0.80/0.95 ( class_HOL_Oord(tc_fun(T_2,T_1))
% 0.80/0.95 | ~ class_HOL_Oord(T_1) ) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom,
% 0.80/0.95 class_Lattices_Oupper__semilattice(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom,
% 0.80/0.95 class_Lattices_Olower__semilattice(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom,
% 0.80/0.95 class_Lattices_Odistrib__lattice(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom,
% 0.80/0.95 class_Lattices_Obounded__lattice(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Orderings_Opreorder,axiom,
% 0.80/0.95 class_Orderings_Opreorder(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Lattices_Olattice,axiom,
% 0.80/0.95 class_Lattices_Olattice(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Orderings_Oorder,axiom,
% 0.80/0.95 class_Orderings_Oorder(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__Orderings_Obot,axiom,
% 0.80/0.95 class_Orderings_Obot(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__HOL_Ominus,axiom,
% 0.80/0.95 class_HOL_Ominus(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(clsarity_bool__HOL_Oord,axiom,
% 0.80/0.95 class_HOL_Oord(tc_bool) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom,
% 0.80/0.95 c_fequal(V_x,V_x,T_a) ).
% 0.80/0.95
% 0.80/0.95 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom,
% 0.80/0.95 ( V_X = V_Y
% 0.80/0.95 | ~ c_fequal(V_X,V_Y,T_a) ) ).
% 0.80/0.95
% 0.80/0.95 %------------------------------------------------------------------------------
% 0.80/0.95 %-------------------------------------------
% 0.80/0.95 % Proof found
% 0.80/0.95 % SZS status Theorem for theBenchmark
% 0.80/0.95 % SZS output start Proof
% 0.80/0.95 %ClaNum:971(EqnAxiom:301)
% 0.80/0.95 %VarNum:6736(SingletonVarNum:2073)
% 0.80/0.95 %MaxLitNum:6
% 0.80/0.95 %MaxfuncDepth:5
% 0.80/0.95 %SharedTerms:56
% 0.80/0.95 %goalClause: 312 432 433 490 498 822
% 0.80/0.95 %singleGoalClaCount:5
% 0.80/0.95 [302]P1(a1)
% 0.80/0.95 [303]P2(a1)
% 0.80/0.95 [304]P23(a1)
% 0.80/0.95 [305]P24(a1)
% 0.80/0.95 [306]P25(a1)
% 0.80/0.95 [307]P3(a1)
% 0.80/0.95 [308]P28(a1)
% 0.80/0.95 [309]P4(a1)
% 0.80/0.95 [310]P22(a1)
% 0.80/0.95 [311]P30(a1)
% 0.80/0.95 [312]P5(a73,a2)
% 0.80/0.95 [490]~E(a83,a76)
% 0.80/0.95 [432]P31(f65(f54(a76,a83,a2,a2),a73,f75(a2,a2)))
% 0.80/0.95 [433]P31(f65(f54(a83,a76,a2,a2),a73,f75(a2,a2)))
% 0.80/0.95 [337]E(f65(a76,f49(f74(a70,a1)),a70),f64(f49(f74(a70,a1)),a76))
% 0.80/0.95 [420]E(f65(f54(a76,a83,a70,a71),a77,f75(a70,a71)),f64(f64(f46(a77,a70,a71),a76),a83))
% 0.80/0.95 [428]E(f65(f54(a76,a83,a70,a71),f49(f74(f75(a70,a71),a1)),f75(a70,a71)),f64(f64(f49(f74(a70,f74(a71,a1))),a76),a83))
% 0.80/0.95 [446]E(f47(f48(f49(f74(f75(x4461,x4461),a1)),x4461,x4461),f48(f58(f49(f74(f75(x4461,x4461),a1)),x4461,x4461),x4461,x4461),f74(x4461,a1)),f49(f74(x4461,a1)))
% 0.80/0.95 [498]~P31(f65(f54(x4981,x4981,a2,a2),a73,f75(a2,a2)))
% 0.80/0.95 [334]E(f49(f74(f75(x3341,x3341),a1)),f3(f49(f74(x3341,a1)),x3341))
% 0.80/0.95 [342]P18(f49(f74(f75(x3421,x3421),a1)),x3421)
% 0.80/0.95 [343]P7(f49(f74(f75(x3431,x3431),a1)),x3431)
% 0.80/0.95 [358]P13(f49(f74(x3581,a1)),f49(f74(f75(x3581,x3581),a1)),x3581)
% 0.80/0.95 [374]P6(f57(f49(f74(f75(x3741,x3741),a1)),x3741),x3741)
% 0.80/0.95 [376]P7(f57(f49(f74(f75(x3761,x3761),a1)),x3761),x3761)
% 0.80/0.95 [381]P15(f57(f49(f74(f75(x3811,x3811),a1)),x3811),x3811,x3811)
% 0.80/0.95 [399]E(f58(f57(f49(f74(f75(x3991,x3991),a1)),x3991),x3991,x3991),f57(f49(f74(f75(x3991,x3991),a1)),x3991))
% 0.80/0.95 [318]P17(x3181,x3181,x3182)
% 0.80/0.95 [313]P6(f3(x3131,x3132),x3132)
% 0.80/0.95 [314]P5(f3(x3141,x3142),x3142)
% 0.80/0.95 [315]P5(f57(x3151,x3152),x3152)
% 0.80/0.95 [316]P7(f3(x3161,x3162),x3162)
% 0.80/0.95 [320]P21(x3201,x3201,f74(x3202,a1))
% 0.80/0.95 [323]P13(x3231,f3(x3231,x3232),x3232)
% 0.80/0.95 [324]P15(f3(x3241,x3242),x3242,x3242)
% 0.80/0.95 [317]E(f57(f57(x3171,x3172),x3172),f57(x3171,x3172))
% 0.80/0.95 [321]E(f4(x3211,x3211,f74(x3212,a1)),x3211)
% 0.80/0.95 [322]E(f47(x3221,x3221,f74(x3222,a1)),x3221)
% 0.80/0.95 [325]E(f48(f3(x3251,x3252),x3252,x3252),x3251)
% 0.80/0.95 [326]E(f58(f3(x3261,x3262),x3262,x3262),f3(x3261,x3262))
% 0.80/0.95 [327]E(f5(x3271,x3271,f74(x3272,a1)),f49(f74(x3272,a1)))
% 0.80/0.95 [328]P16(f49(f74(x3281,a1)),x3282,x3281)
% 0.80/0.95 [330]P21(f49(f74(x3301,a1)),x3302,f74(x3301,a1))
% 0.80/0.95 [331]E(f5(x3311,f49(f74(x3312,a1)),f74(x3312,a1)),x3311)
% 0.80/0.95 [332]E(f47(x3321,f49(f74(x3322,a1)),f74(x3322,a1)),x3321)
% 0.80/0.95 [333]E(f47(f49(f74(x3331,a1)),x3332,f74(x3331,a1)),x3332)
% 0.80/0.95 [338]E(f4(x3381,f49(f74(x3382,a1)),f74(x3382,a1)),f49(f74(x3382,a1)))
% 0.80/0.95 [339]E(f5(f49(f74(x3391,a1)),x3392,f74(x3391,a1)),f49(f74(x3391,a1)))
% 0.80/0.95 [340]E(f4(f49(f74(x3401,a1)),x3402,f74(x3401,a1)),f49(f74(x3401,a1)))
% 0.80/0.95 [346]E(f58(f57(x3461,x3462),x3462,x3462),f57(f58(x3461,x3462,x3462),x3462))
% 0.80/0.95 [436]E(f63(f57(x4361,x4362),f57(x4361,x4362),x4362,x4362,x4362),f57(x4361,x4362))
% 0.80/0.95 [455]E(f47(f48(f58(x4551,x4552,x4552),x4552,x4552),f48(f58(f58(x4551,x4552,x4552),x4552,x4552),x4552,x4552),f74(x4552,a1)),f47(f48(x4551,x4552,x4552),f48(f58(x4551,x4552,x4552),x4552,x4552),f74(x4552,a1)))
% 0.80/0.95 [464]E(f63(f57(x4641,x4642),x4641,x4642,x4642,x4642),f63(x4641,f57(x4641,x4642),x4642,x4642,x4642))
% 0.80/0.95 [465]P5(f63(x4651,f57(x4651,x4652),x4652,x4652,x4652),x4652)
% 0.80/0.95 [348]E(f48(f58(f3(x3481,x3482),x3482,x3482),x3482,x3482),x3481)
% 0.80/0.95 [390]P6(f4(x3901,f58(x3901,x3902,x3902),f74(f75(x3902,x3902),a1)),x3902)
% 0.80/0.95 [391]P6(f47(x3911,f58(x3911,x3912,x3912),f74(f75(x3912,x3912),a1)),x3912)
% 0.80/0.95 [394]E(f47(f57(x3941,x3942),f57(f49(f74(f75(x3942,x3942),a1)),x3942),f74(f75(x3942,x3942),a1)),f57(x3941,x3942))
% 0.80/0.95 [424]P14(f5(x4241,f57(f49(f74(f75(x4242,x4242),a1)),x4242),f74(f75(x4242,x4242),a1)),x4242)
% 0.80/0.95 [425]P21(f3(x4251,x4252),f53(x4251,f6(x4251,f74(x4252,a1),x4252),x4252,x4252),f74(f75(x4252,x4252),a1))
% 0.80/0.95 [439]E(f63(f57(x4391,x4392),f57(f57(x4391,x4392),x4392),x4392,x4392,x4392),f57(x4391,x4392))
% 0.80/0.95 [466]E(f57(f63(x4661,f57(x4661,x4662),x4662,x4662,x4662),x4662),f57(x4661,x4662))
% 0.80/0.95 [467]E(f48(f63(x4671,f57(x4671,x4672),x4672,x4672,x4672),x4672,x4672),f48(x4671,x4672,x4672))
% 0.80/0.95 [472]E(f47(f57(f49(f74(f75(x4721,x4721),a1)),x4721),f63(f57(x4722,x4721),x4722,x4721,x4721,x4721),f74(f75(x4721,x4721),a1)),f57(x4722,x4721))
% 0.80/0.95 [473]E(f47(f63(x4731,f57(x4731,x4732),x4732,x4732,x4732),f57(f49(f74(f75(x4732,x4732),a1)),x4732),f74(f75(x4732,x4732),a1)),f57(x4731,x4732))
% 0.80/0.95 [479]E(f63(f58(x4791,x4792,x4792),f57(f58(x4791,x4792,x4792),x4792),x4792,x4792,x4792),f58(f63(x4791,f57(x4791,x4792),x4792,x4792,x4792),x4792,x4792))
% 0.80/0.95 [487]E(f47(x4871,f63(f63(x4871,f57(x4871,x4872),x4872,x4872,x4872),x4871,x4872,x4872,x4872),f74(f75(x4872,x4872),a1)),f63(x4871,f57(x4871,x4872),x4872,x4872,x4872))
% 0.80/0.95 [489]P21(f63(x4891,f57(x4891,x4892),x4892,x4892,x4892),f53(f47(f48(x4891,x4892,x4892),f48(f58(x4891,x4892,x4892),x4892,x4892),f74(x4892,a1)),f6(f47(f48(x4891,x4892,x4892),f48(f58(x4891,x4892,x4892),x4892,x4892),f74(x4892,a1)),f74(x4892,a1),x4892),x4892,x4892),f74(f75(x4892,x4892),a1))
% 0.80/0.95 [493]~P31(f64(f49(f74(x4931,a1)),x4932))
% 0.80/0.95 [496]~P31(f65(x4961,f49(f74(x4962,a1)),x4962))
% 0.80/0.95 [355]E(f48(f49(f74(f75(x3551,x3552),a1)),x3551,x3552),f49(f74(x3551,a1)))
% 0.80/0.95 [426]E(f57(f5(x4261,f57(f49(f74(f75(x4262,x4262),a1)),x4262),f74(f75(x4262,x4262),a1)),x4262),f57(x4261,x4262))
% 0.80/0.95 [427]E(f57(f47(x4271,f57(f49(f74(f75(x4272,x4272),a1)),x4272),f74(f75(x4272,x4272),a1)),x4272),f57(x4271,x4272))
% 0.80/0.95 [481]E(f48(f58(f63(x4811,f57(x4811,x4812),x4812,x4812,x4812),x4812,x4812),x4812,x4812),f48(f58(x4811,x4812,x4812),x4812,x4812))
% 0.80/0.95 [393]E(f48(f58(f49(f74(f75(x3931,x3932),a1)),x3931,x3932),x3932,x3931),f49(f74(x3932,a1)))
% 0.80/0.95 [401]E(f59(f57(f49(f74(f75(x4011,x4011),a1)),x4011),x4012,x4011,x4011),x4012)
% 0.80/0.95 [478]E(f63(f47(x4781,f57(f49(f74(f75(x4782,x4782),a1)),x4782),f74(f75(x4782,x4782),a1)),f57(f47(x4781,f57(f49(f74(f75(x4782,x4782),a1)),x4782),f74(f75(x4782,x4782),a1)),x4782),x4782,x4782,x4782),f57(x4781,x4782))
% 0.80/0.95 [345]P21(x3451,f60(x3452,x3451,x3453),f74(x3453,a1))
% 0.80/0.95 [335]E(f4(x3351,x3352,f74(x3353,a1)),f4(x3352,x3351,f74(x3353,a1)))
% 0.80/0.95 [336]E(f47(x3361,x3362,f74(x3363,a1)),f47(x3362,x3361,f74(x3363,a1)))
% 0.80/0.95 [341]E(f58(f58(x3411,x3412,x3413),x3413,x3412),x3411)
% 0.80/0.95 [349]E(f60(x3491,f60(x3491,x3492,x3493),x3493),f60(x3491,x3492,x3493))
% 0.80/0.95 [350]P21(x3501,f47(x3502,x3501,f74(x3503,a1)),f74(x3503,a1))
% 0.80/0.95 [351]P21(x3511,f47(x3511,x3512,f74(x3513,a1)),f74(x3513,a1))
% 0.80/0.95 [352]P21(f5(x3521,x3522,f74(x3523,a1)),x3521,f74(x3523,a1))
% 0.80/0.95 [353]P21(f4(x3531,x3532,f74(x3533,a1)),x3532,f74(x3533,a1))
% 0.80/0.95 [354]P21(f4(x3541,x3542,f74(x3543,a1)),x3541,f74(x3543,a1))
% 0.80/0.95 [356]P31(f64(f60(x3561,x3562,x3563),x3561))
% 0.80/0.95 [357]E(f4(x3571,f5(x3572,x3571,f74(x3573,a1)),f74(x3573,a1)),f49(f74(x3573,a1)))
% 0.80/0.95 [360]E(f4(x3601,f4(x3601,x3602,f74(x3603,a1)),f74(x3603,a1)),f4(x3601,x3602,f74(x3603,a1)))
% 0.80/0.95 [361]E(f47(x3611,f5(x3612,x3611,f74(x3613,a1)),f74(x3613,a1)),f47(x3611,x3612,f74(x3613,a1)))
% 0.80/0.95 [362]E(f47(x3621,f47(x3621,x3622,f74(x3623,a1)),f74(x3623,a1)),f47(x3621,x3622,f74(x3623,a1)))
% 0.80/0.95 [363]E(f5(f5(x3631,x3632,f74(x3633,a1)),x3632,f74(x3633,a1)),f5(x3631,x3632,f74(x3633,a1)))
% 0.80/0.95 [364]E(f47(f5(x3641,x3642,f74(x3643,a1)),x3642,f74(x3643,a1)),f47(x3641,x3642,f74(x3643,a1)))
% 0.80/0.95 [368]P31(f65(x3681,f60(x3681,x3682,x3683),x3683))
% 0.80/0.95 [372]E(f47(f60(x3721,f49(f74(x3722,a1)),x3722),x3723,f74(x3722,a1)),f60(x3721,x3723,x3722))
% 0.80/0.95 [373]E(f59(f3(x3731,x3732),x3733,x3732,x3732),f4(x3731,x3733,f74(x3732,a1)))
% 0.80/0.95 [378]E(f47(f5(x3781,x3782,f74(x3783,a1)),f4(x3781,x3782,f74(x3783,a1)),f74(x3783,a1)),x3781)
% 0.80/0.95 [389]E(f61(f68(x3891,x3892),x3893,f75(x3891,x3892),x3892),f48(f58(x3893,x3891,x3892),x3892,x3891))
% 0.80/0.95 [435]P31(f65(f54(x4351,x4351,x4352,x4352),f57(x4353,x4352),f75(x4352,x4352)))
% 0.80/0.95 [480]E(f47(f47(f48(x4801,x4802,x4802),f48(f58(x4801,x4802,x4802),x4802,x4802),f74(x4802,a1)),f47(f48(x4803,x4802,x4802),f48(f58(x4803,x4802,x4802),x4802,x4802),f74(x4802,a1)),f74(x4802,a1)),f47(f48(f47(x4801,x4803,f74(f75(x4802,x4802),a1)),x4802,x4802),f48(f58(f47(x4801,x4803,f74(f75(x4802,x4802),a1)),x4802,x4802),x4802,x4802),f74(x4802,a1)))
% 0.80/0.95 [483]E(f55(x4831,x4832,a76,a83,x4833,a70),f64(f64(x4831,f64(x4832,a76)),f64(x4832,a83)))
% 0.80/0.95 [491]~E(f60(x4911,x4912,x4913),f49(f74(x4913,a1)))
% 0.80/0.95 [492]~E(f49(f74(x4921,a1)),f60(x4922,x4923,x4921))
% 0.80/0.95 [370]E(f59(x3701,f49(f74(x3702,a1)),x3702,x3703),f49(f74(x3703,a1)))
% 0.80/0.95 [371]E(f61(x3711,f49(f74(x3712,a1)),x3712,x3713),f49(f74(x3713,a1)))
% 0.80/0.95 [377]E(f53(f49(f74(x3771,a1)),x3772,x3771,x3773),f49(f74(f75(x3771,x3773),a1)))
% 0.80/0.95 [382]E(f48(f58(f58(x3821,x3822,x3823),x3823,x3822),x3822,x3823),f48(x3821,x3822,x3823))
% 0.80/0.95 [400]E(f53(x4001,f6(f49(f74(x4002,a1)),f74(x4002,a1),x4003),x4003,x4002),f49(f74(f75(x4003,x4002),a1)))
% 0.80/0.95 [417]E(f60(x4171,f5(x4172,f60(x4171,f49(f74(x4173,a1)),x4173),f74(x4173,a1)),x4173),f60(x4171,x4172,x4173))
% 0.80/0.95 [414]E(f57(f47(f57(x4141,x4142),f57(x4143,x4142),f74(f75(x4142,x4142),a1)),x4142),f57(f47(x4141,x4143,f74(f75(x4142,x4142),a1)),x4142))
% 0.80/0.95 [429]P21(f47(f57(x4291,x4292),f57(x4293,x4292),f74(f75(x4292,x4292),a1)),f57(f47(x4291,x4293,f74(f75(x4292,x4292),a1)),x4292),f74(f75(x4292,x4292),a1))
% 0.80/0.95 [452]E(f63(x4521,f57(f49(f74(f75(x4522,x4522),a1)),x4522),x4523,x4522,x4522),x4521)
% 0.80/0.95 [453]E(f63(f57(f49(f74(f75(x4531,x4531),a1)),x4531),x4532,x4531,x4531,x4533),x4532)
% 0.80/0.95 [329]E(f64(f6(x3291,x3292,x3293),x3294),x3291)
% 0.80/0.95 [365]E(f60(x3651,f60(x3652,x3653,x3654),x3654),f60(x3652,f60(x3651,x3653,x3654),x3654))
% 0.80/0.95 [384]E(f4(x3841,f4(x3842,x3843,f74(x3844,a1)),f74(x3844,a1)),f4(x3842,f4(x3841,x3843,f74(x3844,a1)),f74(x3844,a1)))
% 0.80/0.95 [385]E(f47(x3851,f47(x3852,x3853,f74(x3854,a1)),f74(x3854,a1)),f47(x3852,f47(x3851,x3853,f74(x3854,a1)),f74(x3854,a1)))
% 0.80/0.95 [386]E(f5(f4(x3861,x3862,f74(x3863,a1)),x3864,f74(x3863,a1)),f4(x3861,f5(x3862,x3864,f74(x3863,a1)),f74(x3863,a1)))
% 0.80/0.95 [387]E(f4(f4(x3871,x3872,f74(x3873,a1)),x3874,f74(x3873,a1)),f4(x3871,f4(x3872,x3874,f74(x3873,a1)),f74(x3873,a1)))
% 0.80/0.95 [388]E(f47(f47(x3881,x3882,f74(x3883,a1)),x3884,f74(x3883,a1)),f47(x3881,f47(x3882,x3884,f74(x3883,a1)),f74(x3883,a1)))
% 0.80/0.95 [398]E(f64(f68(x3981,x3982),f54(x3983,x3984,x3981,x3982)),x3984)
% 0.80/0.95 [403]E(f47(f5(x4031,x4032,f74(x4033,a1)),f5(x4031,x4034,f74(x4033,a1)),f74(x4033,a1)),f5(x4031,f4(x4032,x4034,f74(x4033,a1)),f74(x4033,a1)))
% 0.80/0.95 [404]E(f4(f5(x4041,x4042,f74(x4043,a1)),f5(x4041,x4044,f74(x4043,a1)),f74(x4043,a1)),f5(x4041,f47(x4042,x4044,f74(x4043,a1)),f74(x4043,a1)))
% 0.80/0.95 [405]E(f5(f4(x4051,x4052,f74(x4053,a1)),f4(x4051,x4054,f74(x4053,a1)),f74(x4053,a1)),f4(x4051,f5(x4052,x4054,f74(x4053,a1)),f74(x4053,a1)))
% 0.80/0.95 [406]E(f47(f4(x4061,x4062,f74(x4063,a1)),f4(x4061,x4064,f74(x4063,a1)),f74(x4063,a1)),f4(x4061,f47(x4062,x4064,f74(x4063,a1)),f74(x4063,a1)))
% 0.80/0.95 [407]E(f4(f47(x4071,x4072,f74(x4073,a1)),f47(x4071,x4074,f74(x4073,a1)),f74(x4073,a1)),f47(x4071,f4(x4072,x4074,f74(x4073,a1)),f74(x4073,a1)))
% 0.80/0.95 [408]E(f47(f5(x4081,x4082,f74(x4083,a1)),f5(x4084,x4082,f74(x4083,a1)),f74(x4083,a1)),f5(f47(x4081,x4084,f74(x4083,a1)),x4082,f74(x4083,a1)))
% 0.80/0.95 [409]E(f5(f4(x4091,x4092,f74(x4093,a1)),f4(x4094,x4092,f74(x4093,a1)),f74(x4093,a1)),f4(f5(x4091,x4094,f74(x4093,a1)),x4092,f74(x4093,a1)))
% 0.80/0.95 [410]E(f47(f4(x4101,x4102,f74(x4103,a1)),f4(x4104,x4102,f74(x4103,a1)),f74(x4103,a1)),f4(f47(x4101,x4104,f74(x4103,a1)),x4102,f74(x4103,a1)))
% 0.80/0.95 [411]E(f4(f47(x4111,x4112,f74(x4113,a1)),f47(x4114,x4112,f74(x4113,a1)),f74(x4113,a1)),f47(f4(x4111,x4114,f74(x4113,a1)),x4112,f74(x4113,a1)))
% 0.80/0.95 [412]E(f5(f4(x4121,x4122,f74(x4123,a1)),f4(x4124,x4122,f74(x4123,a1)),f74(x4123,a1)),f5(f4(x4121,x4122,f74(x4123,a1)),x4124,f74(x4123,a1)))
% 0.80/0.95 [413]E(f5(f5(x4131,x4132,f74(x4133,a1)),f60(x4134,f49(f74(x4133,a1)),x4133),f74(x4133,a1)),f5(x4131,f60(x4134,x4132,x4133),f74(x4133,a1)))
% 0.80/0.95 [418]E(f66(f69(x4181,x4182,x4183,x4184),x4182,x4183,x4184),x4181)
% 0.80/0.95 [419]E(f69(f66(x4191,x4192,x4193,x4194),x4192,x4193,x4194),x4191)
% 0.80/0.95 [421]E(f5(f5(x4211,f60(x4212,f49(f74(x4213,a1)),x4213),f74(x4213,a1)),x4214,f74(x4213,a1)),f5(x4211,f60(x4212,x4214,x4213),f74(x4213,a1)))
% 0.80/0.95 [422]E(f58(f62(x4221,x4222,x4223,x4224),x4224,x4224),f62(f58(x4221,x4223,x4223),x4222,x4223,x4224))
% 0.80/0.95 [459]E(f47(f47(f4(x4591,x4592,f74(x4593,a1)),f4(x4592,x4594,f74(x4593,a1)),f74(x4593,a1)),f4(x4594,x4591,f74(x4593,a1)),f74(x4593,a1)),f4(f4(f47(x4591,x4592,f74(x4593,a1)),f47(x4592,x4594,f74(x4593,a1)),f74(x4593,a1)),f47(x4594,x4591,f74(x4593,a1)),f74(x4593,a1)))
% 0.80/0.95 [488]E(f47(f48(f60(f54(x4881,x4882,x4883,x4883),x4884,f75(x4883,x4883)),x4883,x4883),f48(f58(f60(f54(x4881,x4882,x4883,x4883),x4884,f75(x4883,x4883)),x4883,x4883),x4883,x4883),f74(x4883,a1)),f47(f60(x4881,f60(x4882,f49(f74(x4883,a1)),x4883),x4883),f47(f48(x4884,x4883,x4883),f48(f58(x4884,x4883,x4883),x4883,x4883),f74(x4883,a1)),f74(x4883,a1)))
% 0.80/0.95 [379]E(f60(x3791,f47(x3792,x3793,f74(x3794,a1)),x3794),f47(x3792,f60(x3791,x3793,x3794),f74(x3794,a1)))
% 0.80/0.95 [380]E(f60(x3801,f47(x3802,x3803,f74(x3804,a1)),x3804),f47(f60(x3801,x3802,x3804),x3803,f74(x3804,a1)))
% 0.80/0.95 [392]E(f4(f60(x3921,x3922,x3923),f60(x3921,x3924,x3923),f74(x3923,a1)),f60(x3921,f4(x3922,x3924,f74(x3923,a1)),x3923))
% 0.80/0.95 [402]E(f47(f48(x4021,x4022,x4023),f48(x4024,x4022,x4023),f74(x4022,a1)),f48(f47(x4021,x4024,f74(f75(x4022,x4023),a1)),x4022,x4023))
% 0.80/0.95 [415]E(f4(f58(x4151,x4152,x4153),f58(x4154,x4152,x4153),f74(f75(x4153,x4152),a1)),f58(f4(x4151,x4154,f74(f75(x4152,x4153),a1)),x4152,x4153))
% 0.80/0.95 [416]E(f47(f58(x4161,x4162,x4163),f58(x4164,x4162,x4163),f74(f75(x4163,x4162),a1)),f58(f47(x4161,x4164,f74(f75(x4162,x4163),a1)),x4162,x4163))
% 0.80/0.95 [437]P21(f48(f4(x4371,x4372,f74(f75(x4373,x4374),a1)),x4373,x4374),f4(f48(x4371,x4373,x4374),f48(x4372,x4373,x4374),f74(x4373,a1)),f74(x4373,a1))
% 0.80/0.95 [438]P21(f5(f48(x4381,x4382,x4383),f48(x4384,x4382,x4383),f74(x4382,a1)),f48(f5(x4381,x4384,f74(f75(x4382,x4383),a1)),x4382,x4383),f74(x4382,a1))
% 0.80/0.95 [442]E(f63(x4421,f49(f74(f75(x4422,x4423),a1)),x4424,x4422,x4423),f49(f74(f75(x4424,x4423),a1)))
% 0.80/0.95 [443]E(f63(f49(f74(f75(x4431,x4432),a1)),x4433,x4431,x4432,x4434),f49(f74(f75(x4431,x4434),a1)))
% 0.80/0.95 [441]E(f47(f48(f58(x4411,x4412,x4413),x4413,x4412),f48(f58(x4414,x4412,x4413),x4413,x4412),f74(x4413,a1)),f48(f58(f47(x4411,x4414,f74(f75(x4412,x4413),a1)),x4412,x4413),x4413,x4412))
% 0.80/0.95 [469]P21(f48(f58(f4(x4691,x4692,f74(f75(x4693,x4694),a1)),x4693,x4694),x4694,x4693),f4(f48(f58(x4691,x4693,x4694),x4694,x4693),f48(f58(x4692,x4693,x4694),x4694,x4693),f74(x4694,a1)),f74(x4694,a1))
% 0.80/0.95 [470]P21(f5(f48(f58(x4701,x4702,x4703),x4703,x4702),f48(f58(x4704,x4702,x4703),x4703,x4702),f74(x4703,a1)),f48(f58(f5(x4701,x4704,f74(f75(x4702,x4703),a1)),x4702,x4703),x4703,x4702),f74(x4703,a1))
% 0.80/0.95 [497]~P31(f64(f64(f49(f74(x4971,f74(x4972,a1))),x4973),x4974))
% 0.80/0.95 [423]E(f61(x4231,f60(x4232,x4233,x4234),x4234,x4235),f60(f64(x4231,x4232),f61(x4231,x4233,x4234,x4235),x4235))
% 0.80/0.95 [477]E(f63(f58(x4771,x4772,x4773),f58(x4774,x4775,x4772),x4773,x4772,x4775),f58(f63(x4774,x4771,x4775,x4772,x4773),x4775,x4773))
% 0.80/0.95 [440]E(f48(f60(f54(x4401,x4402,x4403,x4404),x4405,f75(x4403,x4404)),x4403,x4404),f60(x4401,f48(x4405,x4403,x4404),x4403))
% 0.80/0.95 [444]E(f47(f59(x4441,x4442,x4443,x4444),f59(x4441,x4445,x4443,x4444),f74(x4444,a1)),f59(x4441,f47(x4442,x4445,f74(x4443,a1)),x4443,x4444))
% 0.80/0.95 [445]E(f47(f61(x4451,x4452,x4453,x4454),f61(x4451,x4455,x4453,x4454),f74(x4454,a1)),f61(x4451,f47(x4452,x4455,f74(x4453,a1)),x4453,x4454))
% 0.80/0.95 [448]E(f5(f53(x4481,x4482,x4483,x4484),f53(x4485,x4482,x4483,x4484),f74(f75(x4483,x4484),a1)),f53(f5(x4481,x4485,f74(x4483,a1)),x4482,x4483,x4484))
% 0.80/0.95 [449]E(f4(f53(x4491,x4492,x4493,x4494),f53(x4495,x4492,x4493,x4494),f74(f75(x4493,x4494),a1)),f53(f4(x4491,x4495,f74(x4493,a1)),x4492,x4493,x4494))
% 0.80/0.95 [450]E(f47(f53(x4501,x4502,x4503,x4504),f53(x4505,x4502,x4503,x4504),f74(f75(x4503,x4504),a1)),f53(f47(x4501,x4505,f74(x4503,a1)),x4502,x4503,x4504))
% 0.80/0.95 [474]P21(f59(x4741,f4(x4742,x4743,f74(x4744,a1)),x4744,x4745),f4(f59(x4741,x4742,x4744,x4745),f59(x4741,x4743,x4744,x4745),f74(x4745,a1)),f74(x4745,a1))
% 0.80/0.95 [475]P21(f61(x4751,f4(x4752,x4753,f74(x4754,a1)),x4754,x4755),f4(f61(x4751,x4752,x4754,x4755),f61(x4751,x4753,x4754,x4755),f74(x4755,a1)),f74(x4755,a1))
% 0.80/0.95 [476]P21(f5(f61(x4761,x4762,x4763,x4764),f61(x4761,x4765,x4763,x4764),f74(x4764,a1)),f61(x4761,f5(x4762,x4765,f74(x4763,a1)),x4763,x4764),f74(x4764,a1))
% 0.80/0.95 [454]E(f47(f59(x4541,x4542,x4543,x4544),f59(x4545,x4542,x4543,x4544),f74(x4544,a1)),f59(f47(x4541,x4545,f74(f75(x4543,x4544),a1)),x4542,x4543,x4544))
% 0.80/0.95 [468]E(f48(f58(f60(f54(x4681,x4682,x4683,x4684),x4685,f75(x4683,x4684)),x4683,x4684),x4684,x4683),f60(x4682,f48(f58(x4685,x4683,x4684),x4684,x4683),x4684))
% 0.80/0.95 [431]E(f64(f69(x4311,x4312,x4313,x4314),f54(x4315,x4316,x4312,x4313)),f64(f64(x4311,x4315),x4316))
% 0.80/0.95 [451]E(f64(f64(f66(x4511,x4512,x4513,x4514),x4515),x4516),f64(x4511,f54(x4515,x4516,x4512,x4513)))
% 0.80/0.95 [482]E(f60(f54(x4821,x4822,x4823,x4824),f47(f53(x4825,f6(f60(x4822,x4826,x4824),f74(x4824,a1),x4823),x4823,x4824),f53(f60(x4821,x4825,x4823),f6(x4826,f74(x4824,a1),x4823),x4823,x4824),f74(f75(x4823,x4824),a1)),f75(x4823,x4824)),f53(f60(x4821,x4825,x4823),f6(f60(x4822,x4826,x4824),f74(x4824,a1),x4823),x4823,x4824))
% 0.80/0.95 [484]E(f47(f63(x4841,x4842,x4843,x4844,x4845),f63(x4841,x4846,x4843,x4844,x4845),f74(f75(x4843,x4845),a1)),f63(x4841,f47(x4842,x4846,f74(f75(x4844,x4845),a1)),x4843,x4844,x4845))
% 0.80/0.95 [485]E(f47(f63(x4851,x4852,x4853,x4854,x4855),f63(x4856,x4852,x4853,x4854,x4855),f74(f75(x4853,x4855),a1)),f63(f47(x4851,x4856,f74(f75(x4853,x4854),a1)),x4852,x4853,x4854,x4855))
% 0.80/0.95 [486]E(f63(f63(x4861,x4862,x4863,x4864,x4865),x4866,x4863,x4865,x4867),f63(x4861,f63(x4862,x4866,x4864,x4865,x4867),x4863,x4864,x4867))
% 0.80/0.95 [521]~P25(x5211)+E(f64(f49(f74(a70,x5211)),a76),f49(x5211))
% 0.80/0.95 [499]~P18(x4991,x4992)+P19(x4991,x4992)
% 0.80/0.95 [510]~P28(x5102)+P21(x5101,x5101,x5102)
% 0.80/0.95 [511]~P30(x5112)+P21(x5111,x5111,x5112)
% 0.80/0.95 [500]~P1(x5002)+P1(f74(x5001,x5002))
% 0.80/0.95 [501]~P2(x5012)+P2(f74(x5011,x5012))
% 0.80/0.95 [502]~P1(x5022)+P23(f74(x5021,x5022))
% 0.80/0.95 [503]~P1(x5032)+P24(f74(x5031,x5032))
% 0.80/0.95 [504]~P25(x5042)+P25(f74(x5041,x5042))
% 0.80/0.95 [505]~P3(x5052)+P3(f74(x5051,x5052))
% 0.80/0.95 [506]~P28(x5062)+P28(f74(x5061,x5062))
% 0.80/0.95 [507]~P4(x5072)+P4(f74(x5071,x5072))
% 0.80/0.95 [508]~P22(x5082)+P22(f74(x5081,x5082))
% 0.80/0.95 [509]~P30(x5092)+P30(f74(x5091,x5092))
% 0.80/0.95 [512]~P24(x5122)+E(f4(x5121,x5121,x5122),x5121)
% 0.80/0.95 [513]~P23(x5132)+E(f47(x5131,x5131,x5132),x5131)
% 0.80/0.95 [514]~P6(x5141,x5142)+P6(f57(x5141,x5142),x5142)
% 0.80/0.95 [515]~P19(x5151,x5152)+P7(f57(x5151,x5152),x5152)
% 0.80/0.95 [516]~P25(x5161)+P21(f49(x5161),x5162,x5161)
% 0.80/0.95 [522]~P6(x5221,x5222)+E(f58(x5221,x5222,x5222),x5221)
% 0.80/0.95 [528]P6(x5281,x5282)+~E(f58(x5281,x5282,x5282),x5281)
% 0.80/0.95 [538]~P6(x5381,x5382)+P6(f58(x5381,x5382,x5382),x5382)
% 0.80/0.95 [539]~P19(x5391,x5392)+P19(f58(x5391,x5392,x5392),x5392)
% 0.80/0.95 [540]~P5(x5401,x5402)+P5(f58(x5401,x5402,x5402),x5402)
% 0.80/0.95 [541]~P7(x5411,x5412)+P7(f58(x5411,x5412,x5412),x5412)
% 0.80/0.95 [542]~P18(x5421,x5422)+P20(f46(x5421,x5422,x5422),x5422)
% 0.80/0.95 [576]P6(x5761,x5762)+~P6(f58(x5761,x5762,x5762),x5762)
% 0.80/0.95 [577]P19(x5771,x5772)+~P19(f58(x5771,x5772,x5772),x5772)
% 0.80/0.95 [578]P5(x5781,x5782)+~P5(f58(x5781,x5782,x5782),x5782)
% 0.80/0.95 [579]P7(x5791,x5792)+~P7(f58(x5791,x5792,x5792),x5792)
% 0.80/0.95 [832]~P18(x8321,x8322)+P18(f63(x8321,x8321,x8322,x8322,x8322),x8322)
% 0.80/0.95 [888]P18(x8881,x8882)+~P18(f63(x8881,x8881,x8882,x8882,x8882),x8882)
% 0.80/0.95 [517]~P3(x5172)+E(f47(x5171,f49(x5172),x5172),x5171)
% 0.80/0.95 [518]~P3(x5181)+E(f47(f49(x5181),x5182,x5181),x5182)
% 0.80/0.95 [519]~P3(x5192)+E(f4(x5191,f49(x5192),x5192),f49(x5192))
% 0.80/0.95 [520]~P3(x5201)+E(f4(f49(x5201),x5202,x5201),f49(x5201))
% 0.80/0.95 [587]~P21(x5871,f49(f74(x5872,a1)),f74(x5872,a1))+E(x5871,f49(f74(x5872,a1)))
% 0.80/0.95 [644]P18(x6441,x6442)+~P31(f65(f7(x6441,x6442),f67(x6441,x6442),x6442))
% 0.80/0.95 [645]P18(x6451,x6452)+~P31(f65(f8(x6451,x6452),f67(x6451,x6452),x6452))
% 0.80/0.95 [767]~P5(x7671,x7672)+E(f63(x7671,f57(x7671,x7672),x7672,x7672,x7672),x7671)
% 0.80/0.95 [773]P5(x7731,x7732)+P31(f65(f54(f16(x7731,x7732),f23(x7731,x7732),x7732,x7732),x7731,f75(x7732,x7732)))
% 0.80/0.95 [774]P5(x7741,x7742)+P31(f65(f54(f23(x7741,x7742),f24(x7741,x7742),x7742,x7742),x7741,f75(x7742,x7742)))
% 0.80/0.95 [775]P5(x7751,x7752)+P31(f65(f54(f25(x7751,x7752),f26(x7751,x7752),x7752,x7752),x7751,f75(x7752,x7752)))
% 0.80/0.95 [776]P5(x7761,x7762)+P31(f65(f54(f26(x7761,x7762),f27(x7761,x7762),x7762,x7762),x7761,f75(x7762,x7762)))
% 0.80/0.95 [777]P14(x7771,x7772)+P31(f65(f54(f17(x7771,x7772),f17(x7771,x7772),x7772,x7772),x7771,f75(x7772,x7772)))
% 0.80/0.95 [791]E(f54(f10(x7911,x7912),f10(x7911,x7912),x7912,x7912),x7911)+~P31(f65(x7911,f57(f49(f74(f75(x7912,x7912),a1)),x7912),f75(x7912,x7912)))
% 0.80/0.95 [811]P5(x8111,x8112)+~P31(f65(f54(f16(x8111,x8112),f24(x8111,x8112),x8112,x8112),x8111,f75(x8112,x8112)))
% 0.80/0.95 [812]P5(x8121,x8122)+~P31(f65(f54(f25(x8121,x8122),f27(x8121,x8122),x8122,x8122),x8121,f75(x8122,x8122)))
% 0.80/0.95 [813]P12(x8131,x8132)+~P31(f65(f54(f52(x8131,x8132),f52(x8131,x8132),x8132,x8132),x8131,f75(x8132,x8132)))
% 0.80/0.95 [816]P8(f48(x8161,x8162,x8162),x8161,x8162)+~E(f63(f58(x8161,x8162,x8162),x8161,x8162,x8162,x8162),x8161)
% 0.80/0.95 [833]~P18(x8331,x8332)+P18(f63(x8331,f57(x8331,x8332),x8332,x8332,x8332),x8332)
% 0.80/0.95 [834]~P6(x8341,x8342)+P6(f63(x8341,f57(x8341,x8342),x8342,x8342,x8342),x8342)
% 0.80/0.95 [835]~P5(x8351,x8352)+P21(f63(x8351,x8351,x8352,x8352,x8352),x8351,f74(f75(x8352,x8352),a1))
% 0.80/0.95 [754]~P5(x7541,x7542)+P5(f47(x7541,f57(f49(f74(f75(x7542,x7542),a1)),x7542),f74(f75(x7542,x7542),a1)),x7542)
% 0.80/0.95 [755]~P7(x7551,x7552)+P7(f47(x7551,f57(f49(f74(f75(x7552,x7552),a1)),x7552),f74(f75(x7552,x7552),a1)),x7552)
% 0.80/0.95 [786]P7(x7861,x7862)+~P7(f47(x7861,f57(f49(f74(f75(x7862,x7862),a1)),x7862),f74(f75(x7862,x7862),a1)),x7862)
% 0.80/0.95 [808]P18(x8081,x8082)+~E(f63(x8081,x8081,x8082,x8082,x8082),f49(f74(f75(x8082,x8082),a1)))
% 0.80/0.95 [912]~P18(f58(x9121,x9122,x9122),x9122)+P18(f58(f63(x9121,f57(x9121,x9122),x9122,x9122,x9122),x9122,x9122),x9122)
% 0.80/0.95 [523]E(x5231,x5232)+~P17(x5231,x5232,x5233)
% 0.80/0.95 [524]P6(x5241,x5242)+~P8(x5243,x5241,x5242)
% 0.80/0.95 [525]P5(x5251,x5252)+~P11(x5253,x5251,x5252)
% 0.80/0.95 [526]P5(x5261,x5262)+~P8(x5263,x5261,x5262)
% 0.80/0.95 [527]P14(x5271,x5272)+~P11(x5273,x5271,x5272)
% 0.80/0.95 [536]~P8(x5361,x5362,x5363)+P13(x5361,x5362,x5363)
% 0.80/0.95 [537]~P11(x5371,x5372,x5373)+P16(x5371,x5372,x5373)
% 0.80/0.95 [531]~P1(x5313)+E(f4(x5311,x5312,x5313),f4(x5312,x5311,x5313))
% 0.80/0.95 [532]~P24(x5323)+E(f4(x5321,x5322,x5323),f4(x5322,x5321,x5323))
% 0.80/0.95 [533]~P1(x5333)+E(f47(x5331,x5332,x5333),f47(x5332,x5331,x5333))
% 0.80/0.95 [534]~P23(x5343)+E(f47(x5341,x5342,x5343),f47(x5342,x5341,x5343))
% 0.80/0.95 [549]~P31(f64(x5492,x5491))+P31(f65(x5491,x5492,x5493))
% 0.80/0.95 [550]~P1(x5503)+P21(x5501,f47(x5502,x5501,x5503),x5503)
% 0.80/0.95 [551]~P23(x5513)+P21(x5511,f47(x5512,x5511,x5513),x5513)
% 0.80/0.95 [552]~P1(x5523)+P21(x5521,f47(x5521,x5522,x5523),x5523)
% 0.80/0.95 [553]~P23(x5533)+P21(x5531,f47(x5531,x5532,x5533),x5533)
% 0.80/0.95 [554]~P1(x5543)+P21(f4(x5541,x5542,x5543),x5542,x5543)
% 0.80/0.95 [555]~P24(x5553)+P21(f4(x5551,x5552,x5553),x5552,x5553)
% 0.80/0.95 [556]~P1(x5563)+P21(f4(x5561,x5562,x5563),x5561,x5563)
% 0.80/0.95 [557]~P24(x5573)+P21(f4(x5571,x5572,x5573),x5571,x5573)
% 0.80/0.95 [580]P31(f64(x5801,x5802))+~P31(f65(x5802,x5801,x5803))
% 0.80/0.95 [586]E(f60(x5861,x5862,x5863),x5862)+~P31(f65(x5861,x5862,x5863))
% 0.80/0.95 [598]~P13(x5981,x5982,x5983)+P13(x5981,f58(x5982,x5983,x5983),x5983)
% 0.80/0.95 [599]~P16(x5991,x5992,x5993)+P16(x5991,f58(x5992,x5993,x5993),x5993)
% 0.80/0.95 [611]P13(x6111,x6112,x6113)+~P13(x6111,f58(x6112,x6113,x6113),x6113)
% 0.80/0.95 [612]P16(x6121,x6122,x6123)+~P16(x6121,f58(x6122,x6123,x6123),x6123)
% 0.80/0.95 [558]~P1(x5583)+E(f4(x5581,f47(x5581,x5582,x5583),x5583),x5581)
% 0.80/0.95 [559]~P1(x5593)+E(f47(x5591,f4(x5591,x5592,x5593),x5593),x5591)
% 0.80/0.95 [565]~P18(x5652,x5653)+P31(f65(x5651,f67(x5652,x5653),x5653))
% 0.80/0.95 [567]E(x5671,f49(f74(x5672,a1)))+~E(f47(x5673,x5671,f74(x5672,a1)),f49(f74(x5672,a1)))
% 0.80/0.95 [568]E(x5681,f49(f74(x5682,a1)))+~E(f47(x5681,x5683,f74(x5682,a1)),f49(f74(x5682,a1)))
% 0.80/0.95 [571]~P21(x5712,x5711,f74(x5713,a1))+E(f4(x5711,x5712,f74(x5713,a1)),x5712)
% 0.80/0.95 [572]~P21(x5721,x5722,f74(x5723,a1))+E(f4(x5721,x5722,f74(x5723,a1)),x5721)
% 0.80/0.95 [573]~P21(x5731,x5732,f74(x5733,a1))+E(f47(x5731,x5732,f74(x5733,a1)),x5732)
% 0.80/0.95 [574]~P21(x5742,x5741,f74(x5743,a1))+E(f47(x5741,x5742,f74(x5743,a1)),x5741)
% 0.80/0.95 [575]P21(x5751,x5752,f74(x5753,a1))+~E(f47(x5751,x5752,f74(x5753,a1)),x5752)
% 0.80/0.95 [582]~P1(x5823)+E(f4(x5821,f4(x5821,x5822,x5823),x5823),f4(x5821,x5822,x5823))
% 0.80/0.95 [583]~P24(x5833)+E(f4(x5831,f4(x5831,x5832,x5833),x5833),f4(x5831,x5832,x5833))
% 0.80/0.95 [584]~P1(x5843)+E(f47(x5841,f47(x5841,x5842,x5843),x5843),f47(x5841,x5842,x5843))
% 0.80/0.95 [585]~P23(x5853)+E(f47(x5851,f47(x5851,x5852,x5853),x5853),f47(x5851,x5852,x5853))
% 0.80/0.95 [595]E(f5(x5951,x5952,f74(x5953,a1)),x5951)+~E(f4(x5951,x5952,f74(x5953,a1)),f49(f74(x5953,a1)))
% 0.80/0.95 [635]P21(f67(x6351,x6352),f67(x6353,x6352),f74(x6352,a1))+~P21(x6353,x6351,f74(f75(x6352,x6352),a1))
% 0.80/0.95 [646]~P21(x6461,x6462,f74(x6463,a1))+E(f47(x6461,f5(x6462,x6461,f74(x6463,a1)),f74(x6463,a1)),x6462)
% 0.80/0.95 [654]~P21(x6541,x6543,f74(f75(x6542,x6542),a1))+P21(f57(x6541,x6542),f57(x6543,x6542),f74(f75(x6542,x6542),a1))
% 0.80/0.95 [668]~P21(x6681,f57(x6683,x6682),f74(f75(x6682,x6682),a1))+P21(f57(x6681,x6682),f57(x6683,x6682),f74(f75(x6682,x6682),a1))
% 0.80/0.95 [685]~P31(f65(x6851,x6852,f75(x6853,x6853)))+P31(f65(x6851,f57(x6852,x6853),f75(x6853,x6853)))
% 0.80/0.95 [700]P31(f65(x7001,x7002,x7003))+E(f5(f60(x7001,x7002,x7003),f60(x7001,f49(f74(x7003,a1)),x7003),f74(x7003,a1)),x7002)
% 0.80/0.95 [725]~P31(f65(x7252,f3(x7251,x7253),f75(x7253,x7253)))+P31(f65(f9(x7251,x7252,x7253),x7251,x7253))
% 0.80/0.95 [732]~P31(f65(f41(x7322,x7321,x7323),f67(x7322,x7323),x7323))+P31(f65(x7321,f67(x7322,x7323),x7323))
% 0.80/0.95 [733]~P31(f65(f15(x7332,x7331,x7333),f67(x7332,x7333),x7333))+P31(f65(x7331,f67(x7332,x7333),x7333))
% 0.80/0.95 [741]E(f54(f9(x7411,x7412,x7413),f9(x7411,x7412,x7413),x7413,x7413),x7412)+~P31(f65(x7412,f3(x7411,x7413),f75(x7413,x7413)))
% 0.80/0.95 [763]~P12(x7633,x7632)+P31(f65(f54(x7631,x7631,x7632,x7632),x7633,f75(x7632,x7632)))
% 0.80/0.96 [778]~P31(f65(x7781,x7783,x7782))+P31(f65(f54(x7781,x7781,x7782,x7782),f3(x7783,x7782),f75(x7782,x7782)))
% 0.80/0.96 [782]~P8(x7823,x7821,x7822)+E(f63(f58(x7821,x7822,x7822),x7821,x7822,x7822,x7822),x7821)
% 0.80/0.96 [793]P31(f65(f54(f41(x7932,x7931,x7933),x7931,x7933,x7933),x7932,f75(x7933,x7933)))+P31(f65(x7931,f67(x7932,x7933),x7933))
% 0.80/0.96 [794]P31(f65(f54(f15(x7942,x7941,x7943),x7941,x7943,x7943),x7942,f75(x7943,x7943)))+P31(f65(x7941,f67(x7942,x7943),x7943))
% 0.80/0.96 [795]~P18(x7951,x7952)+~P31(f65(f54(x7953,x7953,x7952,x7952),x7951,f75(x7952,x7952)))
% 0.80/0.96 [796]~P14(x7961,x7962)+~P31(f65(f54(x7963,x7963,x7962,x7962),x7961,f75(x7962,x7962)))
% 0.80/0.96 [824]P21(f47(f48(x8241,x8242,x8242),f48(f58(x8241,x8242,x8242),x8242,x8242),f74(x8242,a1)),f47(f48(x8243,x8242,x8242),f48(f58(x8243,x8242,x8242),x8242,x8242),f74(x8242,a1)),f74(x8242,a1))+~P21(x8241,x8243,f74(f75(x8242,x8242),a1))
% 0.80/0.96 [851]~P13(x8513,x8511,x8512)+P21(x8511,f63(f58(x8511,x8512,x8512),x8511,x8512,x8512,x8512),f74(f75(x8512,x8512),a1))
% 0.80/0.96 [855]E(x8551,x8552)+~P31(f65(f54(x8551,x8552,x8553,x8553),f57(f49(f74(f75(x8553,x8553),a1)),x8553),f75(x8553,x8553)))
% 0.80/0.96 [913]~P31(f65(x9131,x9132,f75(x9133,x9133)))+P31(f65(x9131,f63(x9132,f57(x9132,x9133),x9133,x9133,x9133),f75(x9133,x9133)))
% 0.80/0.96 [930]P31(f65(f54(f33(x9301,x9302),f33(x9301,x9302),x9302,x9302),f63(x9301,f57(x9301,x9302),x9302,x9302,x9302),f75(x9302,x9302)))+~P31(f65(f54(x9303,x9303,x9302,x9302),x9301,f75(x9302,x9302)))
% 0.80/0.96 [931]~P19(x9311,x9312)+~P31(f65(f54(x9313,x9313,x9312,x9312),f63(x9311,f57(x9311,x9312),x9312,x9312,x9312),f75(x9312,x9312)))
% 0.80/0.96 [581]~E(f48(x5811,x5812,x5813),f49(f74(x5812,a1)))+E(x5811,f49(f74(f75(x5812,x5813),a1)))
% 0.80/0.96 [604]~P4(x6043)+E(f5(f64(x6041,a76),f64(x6042,a76),x6043),f64(f5(x6041,x6042,f74(a70,x6043)),a76))
% 0.80/0.96 [605]~P1(x6053)+E(f4(f64(x6051,a76),f64(x6052,a76),x6053),f64(f4(x6051,x6052,f74(a70,x6053)),a76))
% 0.80/0.96 [606]~P1(x6063)+E(f47(f64(x6061,a76),f64(x6062,a76),x6063),f64(f47(x6061,x6062,f74(a70,x6063)),a76))
% 0.80/0.96 [608]~P18(x6082,x6083)+P18(f4(x6081,x6082,f74(f75(x6083,x6083),a1)),x6083)
% 0.80/0.96 [609]~P18(x6091,x6093)+P18(f4(x6091,x6092,f74(f75(x6093,x6093),a1)),x6093)
% 0.80/0.96 [636]E(x6361,x6362)+~E(f60(x6361,f49(f74(x6363,a1)),x6363),f60(x6362,f49(f74(x6363,a1)),x6363))
% 0.80/0.96 [651]~E(f48(f58(x6511,x6512,x6513),x6513,x6512),f49(f74(x6513,a1)))+E(x6511,f49(f74(f75(x6512,x6513),a1)))
% 0.80/0.96 [743]~P31(f65(x7431,x7432,x7433))+E(f60(x7431,f5(x7432,f60(x7431,f49(f74(x7433,a1)),x7433),f74(x7433,a1)),x7433),x7432)
% 0.80/0.96 [758]~P13(x7582,x7581,x7583)+P21(x7581,f53(x7582,f6(x7582,f74(x7583,a1),x7583),x7583,x7583),f74(f75(x7583,x7583),a1))
% 0.80/0.96 [759]~P8(x7592,x7591,x7593)+P21(x7591,f53(x7592,f6(x7592,f74(x7593,a1),x7593),x7593,x7593),f74(f75(x7593,x7593),a1))
% 0.80/0.96 [760]~P16(x7601,x7602,x7603)+P16(x7601,f5(x7602,f57(f49(f74(f75(x7603,x7603),a1)),x7603),f74(f75(x7603,x7603),a1)),x7603)
% 0.80/0.96 [790]P16(x7901,x7902,x7903)+~P16(x7901,f5(x7902,f57(f49(f74(f75(x7903,x7903),a1)),x7903),f74(f75(x7903,x7903),a1)),x7903)
% 0.80/0.96 [901]~P21(x9011,f53(x9013,f6(x9013,f74(x9012,a1),x9012),x9012,x9012),f74(f75(x9012,x9012),a1))+P21(f63(x9011,f57(x9011,x9012),x9012,x9012,x9012),f53(x9013,f6(x9013,f74(x9012,a1),x9012),x9012,x9012),f74(f75(x9012,x9012),a1))
% 0.80/0.96 [938]~E(f4(f58(x9381,x9382,x9382),f57(x9381,x9382),f74(f75(x9382,x9382),a1)),f49(f74(f75(x9382,x9382),a1)))+~P31(f65(f54(x9383,x9383,x9382,x9382),f63(x9381,f57(x9381,x9382),x9382,x9382,x9382),f75(x9382,x9382)))
% 0.80/0.96 [962]~P18(f47(x9621,x9623,f74(f75(x9622,x9622),a1)),x9622)+P18(f47(f47(f63(x9621,x9621,x9622,x9622,x9622),f63(x9623,x9621,x9622,x9622,x9622),f74(f75(x9622,x9622),a1)),x9623,f74(f75(x9622,x9622),a1)),x9622)
% 0.80/0.96 [967]~P18(f47(f47(f63(x9671,x9671,x9673,x9673,x9673),f63(x9672,x9671,x9673,x9673,x9673),f74(f75(x9673,x9673),a1)),x9672,f74(f75(x9673,x9673),a1)),x9673)+P18(f47(x9671,x9672,f74(f75(x9673,x9673),a1)),x9673)
% 0.80/0.96 [749]E(x7491,x7492)+~P31(f65(x7491,f60(x7492,f49(f74(x7493,a1)),x7493),x7493))
% 0.80/0.96 [610]~P21(x6101,x6103,f74(x6104,a1))+P21(x6101,f60(x6102,x6103,x6104),f74(x6104,a1))
% 0.80/0.96 [647]~P21(f60(x6474,x6471,x6473),x6472,f74(x6473,a1))+P21(x6471,x6472,f74(x6473,a1))
% 0.80/0.96 [657]~P21(f60(x6571,x6574,x6573),x6572,f74(x6573,a1))+P31(f65(x6571,x6572,x6573))
% 0.80/0.96 [664]~P21(x6642,x6644,f74(x6643,a1))+P21(f60(x6641,x6642,x6643),f60(x6641,x6644,x6643),f74(x6643,a1))
% 0.80/0.96 [704]~P18(x7041,x7043)+P18(f62(x7041,x7042,x7043,x7044),x7044)
% 0.80/0.96 [705]~P6(x7051,x7053)+P6(f62(x7051,x7052,x7053,x7054),x7054)
% 0.80/0.96 [706]~P5(x7061,x7063)+P5(f62(x7061,x7062,x7063,x7064),x7064)
% 0.80/0.96 [607]~P31(f64(x6072,x6074))+P31(f64(f60(x6071,x6072,x6073),x6074))
% 0.80/0.96 [627]~P1(x6274)+E(f4(x6271,f4(x6272,x6273,x6274),x6274),f4(x6272,f4(x6271,x6273,x6274),x6274))
% 0.80/0.96 [628]~P24(x6284)+E(f4(x6281,f4(x6282,x6283,x6284),x6284),f4(x6282,f4(x6281,x6283,x6284),x6284))
% 0.80/0.96 [629]~P1(x6294)+E(f47(x6291,f47(x6292,x6293,x6294),x6294),f47(x6292,f47(x6291,x6293,x6294),x6294))
% 0.80/0.96 [630]~P23(x6304)+E(f47(x6301,f47(x6302,x6303,x6304),x6304),f47(x6302,f47(x6301,x6303,x6304),x6304))
% 0.80/0.96 [631]~P1(x6313)+E(f4(f4(x6311,x6312,x6313),x6314,x6313),f4(x6311,f4(x6312,x6314,x6313),x6313))
% 0.80/0.96 [632]~P24(x6323)+E(f4(f4(x6321,x6322,x6323),x6324,x6323),f4(x6321,f4(x6322,x6324,x6323),x6323))
% 0.80/0.96 [633]~P1(x6333)+E(f47(f47(x6331,x6332,x6333),x6334,x6333),f47(x6331,f47(x6332,x6334,x6333),x6333))
% 0.80/0.96 [634]~P23(x6343)+E(f47(f47(x6341,x6342,x6343),x6344,x6343),f47(x6341,f47(x6342,x6344,x6343),x6343))
% 0.80/0.96 [649]P31(f65(x6492,x6491,x6494))+E(f4(x6491,f60(x6492,x6493,x6494),f74(x6494,a1)),f4(x6491,x6493,f74(x6494,a1)))
% 0.80/0.96 [650]P31(f65(x6501,x6504,x6503))+E(f4(f60(x6501,x6502,x6503),x6504,f74(x6503,a1)),f4(x6502,x6504,f74(x6503,a1)))
% 0.80/0.96 [670]~P2(x6703)+E(f47(f4(x6701,x6702,x6703),f4(x6701,x6704,x6703),x6703),f4(x6701,f47(x6702,x6704,x6703),x6703))
% 0.80/0.96 [671]~P2(x6713)+E(f4(f47(x6711,x6712,x6713),f47(x6711,x6714,x6713),x6713),f47(x6711,f4(x6712,x6714,x6713),x6713))
% 0.80/0.96 [672]~P2(x6723)+E(f47(f4(x6721,x6722,x6723),f4(x6724,x6722,x6723),x6723),f4(f47(x6721,x6724,x6723),x6722,x6723))
% 0.80/0.96 [673]~P2(x6733)+E(f4(f47(x6731,x6732,x6733),f47(x6734,x6732,x6733),x6733),f47(f4(x6731,x6734,x6733),x6732,x6733))
% 0.80/0.96 [674]~P31(f65(x6741,x6744,x6743))+E(f5(f60(x6741,x6742,x6743),x6744,f74(x6743,a1)),f5(x6742,x6744,f74(x6743,a1)))
% 0.80/0.96 [679]P21(x6791,x6792,f74(x6793,a1))+~P21(x6791,f4(x6794,x6792,f74(x6793,a1)),f74(x6793,a1))
% 0.80/0.96 [680]P21(x6801,x6802,f74(x6803,a1))+~P21(x6801,f4(x6802,x6804,f74(x6803,a1)),f74(x6803,a1))
% 0.80/0.96 [681]P21(x6811,x6812,f74(x6813,a1))+~P21(f47(x6814,x6811,f74(x6813,a1)),x6812,f74(x6813,a1))
% 0.80/0.96 [682]P21(x6821,x6822,f74(x6823,a1))+~P21(f47(x6821,x6824,f74(x6823,a1)),x6822,f74(x6823,a1))
% 0.80/0.96 [684]~E(f61(x6843,x6841,x6842,x6844),f49(f74(x6844,a1)))+E(x6841,f49(f74(x6842,a1)))
% 0.80/0.96 [696]P21(f48(x6961,x6962,x6963),f48(x6964,x6962,x6963),f74(x6962,a1))+~P21(x6961,x6964,f74(f75(x6962,x6963),a1))
% 0.80/0.96 [698]~P31(f65(x6981,x6983,x6984))+P31(f65(x6981,f60(x6982,x6983,x6984),x6984))
% 0.80/0.96 [711]~P21(x7114,x7111,f74(x7113,a1))+E(f47(f4(x7111,x7112,f74(x7113,a1)),x7114,f74(x7113,a1)),f4(x7111,f47(x7112,x7114,f74(x7113,a1)),f74(x7113,a1)))
% 0.80/0.96 [716]~P21(f5(x7161,x7162,f74(x7164,a1)),x7163,f74(x7164,a1))+P21(x7161,f47(x7162,x7163,f74(x7164,a1)),f74(x7164,a1))
% 0.80/0.96 [717]~P21(x7171,f47(x7172,x7174,f74(x7173,a1)),f74(x7173,a1))+P21(f5(x7171,x7172,f74(x7173,a1)),x7174,f74(x7173,a1))
% 0.80/0.96 [742]P21(x7421,x7422,f74(x7423,a1))+~E(f47(f4(x7422,x7424,f74(x7423,a1)),x7421,f74(x7423,a1)),f4(x7422,f47(x7424,x7421,f74(x7423,a1)),f74(x7423,a1)))
% 0.80/0.96 [751]~P1(x7514)+P21(f47(x7511,f4(x7512,x7513,x7514),x7514),f4(f47(x7511,x7512,x7514),f47(x7511,x7513,x7514),x7514),x7514)
% 0.80/0.96 [752]~P1(x7523)+P21(f47(f4(x7521,x7522,x7523),f4(x7521,x7524,x7523),x7523),f4(x7521,f47(x7522,x7524,x7523),x7523),x7523)
% 0.80/0.96 [788]~P31(f65(x7881,f57(x7883,x7884),f75(x7884,x7884)))+P31(f65(x7881,f57(f47(x7882,x7883,f74(f75(x7884,x7884),a1)),x7884),f75(x7884,x7884)))
% 0.80/0.96 [789]~P31(f65(x7891,f57(x7892,x7894),f75(x7894,x7894)))+P31(f65(x7891,f57(f47(x7892,x7893,f74(f75(x7894,x7894),a1)),x7894),f75(x7894,x7894)))
% 0.80/0.96 [797]P18(x7971,x7972)+~P18(f60(f54(x7973,x7974,x7972,x7972),x7971,f75(x7972,x7972)),x7972)
% 0.80/0.96 [798]P19(x7981,x7982)+~P19(f60(f54(x7983,x7984,x7982,x7982),x7981,f75(x7982,x7982)),x7982)
% 0.80/0.96 [799]E(x7991,x7992)+~P31(f65(f54(x7991,x7992,x7993,x7993),f3(x7994,x7993),f75(x7993,x7993)))
% 0.80/0.96 [801]P31(f65(x8011,x8012,x8013))+~P31(f65(f54(x8011,x8014,x8013,x8013),f3(x8012,x8013),f75(x8013,x8013)))
% 0.80/0.96 [873]~P31(f65(f54(x8732,x8731,x8733,x8733),f57(x8734,x8733),f75(x8733,x8733)))+P31(f65(f54(x8731,x8732,x8733,x8733),f57(f58(x8734,x8733,x8733),x8733),f75(x8733,x8733)))
% 0.80/0.96 [877]~P31(f65(x8771,f48(x8772,x8773,x8774),x8773))+P31(f65(f54(x8771,f11(x8771,x8772,x8773,x8774),x8773,x8774),x8772,f75(x8773,x8774)))
% 0.80/0.96 [878]~P31(f65(x8781,f48(x8782,x8783,x8784),x8783))+P31(f65(f54(x8781,f13(x8781,x8782,x8783,x8784),x8783,x8784),x8782,f75(x8783,x8784)))
% 0.80/0.96 [883]~P18(f60(f54(x8831,x8832,x8833,x8833),x8834,f75(x8833,x8833)),x8833)+~P31(f65(f54(x8832,x8831,x8833,x8833),f57(x8834,x8833),f75(x8833,x8833)))
% 0.80/0.96 [884]~P19(f60(f54(x8841,x8842,x8843,x8843),x8844,f75(x8843,x8843)),x8843)+~P31(f65(f54(x8842,x8841,x8843,x8843),f57(x8844,x8843),f75(x8843,x8843)))
% 0.80/0.96 [886]~P31(f65(f54(x8862,x8861,x8863,x8863),f57(f58(x8864,x8863,x8863),x8863),f75(x8863,x8863)))+P31(f65(f54(x8861,x8862,x8863,x8863),f57(x8864,x8863),f75(x8863,x8863)))
% 0.80/0.96 [939]~P31(f65(f54(x9391,x9392,x9393,x9393),f63(x9394,f57(x9394,x9393),x9393,x9393,x9393),f75(x9393,x9393)))+P31(f65(f54(x9391,x9392,x9393,x9393),f57(x9394,x9393),f75(x9393,x9393)))
% 0.80/0.96 [945]~P31(f65(f54(x9451,x9453,x9454,x9454),f63(x9452,f57(x9452,x9454),x9454,x9454,x9454),f75(x9454,x9454)))+P31(f65(f54(x9451,f36(x9452,x9451,x9453,x9454),x9454,x9454),x9452,f75(x9454,x9454)))
% 0.80/0.96 [946]~P31(f65(f54(x9462,x9463,x9464,x9464),f63(x9461,f57(x9461,x9464),x9464,x9464,x9464),f75(x9464,x9464)))+P31(f65(f54(f37(x9461,x9462,x9463,x9464),x9463,x9464,x9464),x9461,f75(x9464,x9464)))
% 0.80/0.96 [947]~P31(f65(f54(x9471,x9473,x9474,x9474),f63(x9472,f57(x9472,x9474),x9474,x9474,x9474),f75(x9474,x9474)))+P31(f65(f54(x9471,f37(x9472,x9471,x9473,x9474),x9474,x9474),f57(x9472,x9474),f75(x9474,x9474)))
% 0.80/0.96 [948]~P31(f65(f54(x9482,x9483,x9484,x9484),f63(x9481,f57(x9481,x9484),x9484,x9484,x9484),f75(x9484,x9484)))+P31(f65(f54(f36(x9481,x9482,x9483,x9484),x9483,x9484,x9484),f57(x9481,x9484),f75(x9484,x9484)))
% 0.80/0.96 [963]~P31(f65(f54(x9631,x9632,x9633,x9633),f63(f58(x9634,x9633,x9633),f57(f58(x9634,x9633,x9633),x9633),x9633,x9633,x9633),f75(x9633,x9633)))+P31(f65(f54(x9631,x9632,x9633,x9633),f58(f63(x9634,f57(x9634,x9633),x9633,x9633,x9633),x9633,x9633),f75(x9633,x9633)))
% 0.80/0.96 [965]~P31(f65(f54(x9651,x9652,x9653,x9653),f58(f63(x9654,f57(x9654,x9653),x9653,x9653,x9653),x9653,x9653),f75(x9653,x9653)))+P31(f65(f54(x9651,x9652,x9653,x9653),f63(f58(x9654,x9653,x9653),f57(f58(x9654,x9653,x9653),x9653),x9653,x9653,x9653),f75(x9653,x9653)))
% 0.80/0.96 [652]~P31(f64(x6522,x6524))+P31(f64(f47(x6521,x6522,f74(x6523,a1)),x6524))
% 0.80/0.96 [653]~P31(f64(x6531,x6534))+P31(f64(f47(x6531,x6532,f74(x6533,a1)),x6534))
% 0.80/0.96 [695]E(x6951,f49(f74(x6952,a1)))+E(f61(f6(x6953,x6954,x6952),x6951,x6952,x6954),f60(x6953,f49(f74(x6954,a1)),x6954))
% 0.80/0.96 [699]P31(f65(x6991,x6994,x6993))+E(f5(f60(x6991,x6992,x6993),x6994,f74(x6993,a1)),f60(x6991,f5(x6992,x6994,f74(x6993,a1)),x6993))
% 0.80/0.96 [707]P31(f64(x7071,x7072))+~P31(f64(f4(x7073,x7071,f74(x7074,a1)),x7072))
% 0.80/0.96 [708]P31(f64(x7081,x7082))+~P31(f64(f4(x7081,x7083,f74(x7084,a1)),x7082))
% 0.80/0.96 [709]~P31(f65(x7091,x7092,x7094))+E(f60(x7091,f4(x7092,x7093,f74(x7094,a1)),x7094),f4(x7092,f60(x7091,x7093,x7094),f74(x7094,a1)))
% 0.80/0.96 [710]~P31(f65(x7101,x7103,x7104))+E(f60(x7101,f4(x7102,x7103,f74(x7104,a1)),x7104),f4(f60(x7101,x7102,x7104),x7103,f74(x7104,a1)))
% 0.80/0.96 [714]~P31(f65(x7141,x7143,x7144))+P31(f65(x7141,f47(x7142,x7143,f74(x7144,a1)),x7144))
% 0.80/0.96 [715]~P31(f65(x7151,x7152,x7154))+P31(f65(x7151,f47(x7152,x7153,f74(x7154,a1)),x7154))
% 0.80/0.96 [734]P31(f65(x7341,x7342,x7343))+~P31(f65(x7341,f5(x7342,x7344,f74(x7343,a1)),x7343))
% 0.80/0.96 [735]P31(f65(x7351,x7352,x7353))+~P31(f65(x7351,f4(x7354,x7352,f74(x7353,a1)),x7353))
% 0.80/0.96 [736]P31(f65(x7361,x7362,x7363))+~P31(f65(x7361,f4(x7362,x7364,f74(x7363,a1)),x7363))
% 0.80/0.96 [744]~P31(f65(x7441,x7442,x7443))+~P31(f65(x7441,f5(x7444,x7442,f74(x7443,a1)),x7443))
% 0.80/0.96 [894]P31(f65(f54(f18(x8941,x8942,x8943,x8944),x8941,x8944,x8943),x8942,f75(x8944,x8943)))+~P31(f65(x8941,f48(f58(x8942,x8944,x8943),x8943,x8944),x8943))
% 0.80/0.96 [895]P31(f65(f54(f21(x8951,x8952,x8953,x8954),x8951,x8954,x8953),x8952,f75(x8954,x8953)))+~P31(f65(x8951,f48(f58(x8952,x8954,x8953),x8953,x8954),x8953))
% 0.80/0.96 [765]~P21(x7652,x7655,f74(x7653,a1))+P21(f61(x7651,x7652,x7653,x7654),f61(x7651,x7655,x7653,x7654),f74(x7654,a1))
% 0.80/0.96 [757]~P31(f65(x7572,x7573,x7574))+E(f60(f64(x7571,x7572),f61(x7571,x7573,x7574,x7575),x7575),f61(x7571,x7573,x7574,x7575))
% 0.80/0.96 [771]~P31(f65(x7712,x7713,x7714))+P31(f65(f64(x7711,x7712),f61(x7711,x7713,x7714,x7715),x7715))
% 0.80/0.96 [810]~P31(f65(f54(x8101,x8105,x8103,x8104),x8102,f75(x8103,x8104)))+P31(f65(x8101,f48(x8102,x8103,x8104),x8103))
% 0.80/0.96 [867]~P31(f65(f54(x8672,x8671,x8674,x8673),x8675,f75(x8674,x8673)))+P31(f65(f54(x8671,x8672,x8673,x8674),f58(x8675,x8674,x8673),f75(x8673,x8674)))
% 0.80/0.96 [868]~P31(f65(f54(x8682,x8681,x8684,x8683),f58(x8685,x8683,x8684),f75(x8684,x8683)))+P31(f65(f54(x8681,x8682,x8683,x8684),x8685,f75(x8683,x8684)))
% 0.80/0.96 [921]~P31(f65(x9212,f59(x9213,x9211,x9214,x9215),x9215))+P31(f65(f19(x9211,x9212,x9213,x9214,x9215),x9211,x9214))
% 0.80/0.96 [922]~P31(f65(x9222,f59(x9223,x9221,x9224,x9225),x9225))+P31(f65(f20(x9221,x9222,x9223,x9224,x9225),x9221,x9224))
% 0.80/0.96 [923]~P31(f65(x9233,f53(x9231,x9232,x9234,x9235),f75(x9234,x9235)))+P31(f65(f12(x9231,x9232,x9233,x9234,x9235),x9231,x9234))
% 0.80/0.96 [943]~P31(f65(x9432,f59(x9433,x9431,x9434,x9435),x9435))+P31(f65(f54(f19(x9431,x9432,x9433,x9434,x9435),x9432,x9434,x9435),x9433,f75(x9434,x9435)))
% 0.80/0.96 [944]~P31(f65(x9442,f59(x9443,x9441,x9444,x9445),x9445))+P31(f65(f54(f20(x9441,x9442,x9443,x9444,x9445),x9442,x9444,x9445),x9443,f75(x9444,x9445)))
% 0.80/0.96 [722]~P31(f65(x7225,x7224,x7223))+E(f61(f6(x7221,x7222,x7223),x7224,x7223,x7222),f60(x7221,f49(f74(x7222,a1)),x7222))
% 0.80/0.96 [792]~P15(f58(x7921,x7923,x7924),x7924,x7923)+E(f4(f59(x7921,x7922,x7923,x7924),f59(x7921,x7925,x7923,x7924),f74(x7924,a1)),f59(x7921,f4(x7922,x7925,f74(x7923,a1)),x7923,x7924))
% 0.80/0.96 [800]P31(f65(f54(x8001,x8002,x8003,x8004),x8005,f75(x8003,x8004)))+~P31(f64(f64(f46(x8005,x8003,x8004),x8001),x8002))
% 0.80/0.96 [827]~P31(f65(f54(x8274,x8275,x8272,x8273),x8271,f75(x8272,x8273)))+P31(f64(f64(f46(x8271,x8272,x8273),x8274),x8275))
% 0.80/0.96 [837]~P31(f65(f54(x8375,x8371,x8373,x8374),x8372,f75(x8373,x8374)))+P31(f65(x8371,f48(f58(x8372,x8373,x8374),x8374,x8373),x8374))
% 0.80/0.96 [885]~P31(f65(f54(x8853,x8851,x8854,x8855),x8852,f75(x8854,x8855)))+P31(f65(x8851,f59(x8852,f60(x8853,f49(f74(x8854,a1)),x8854),x8854,x8855),x8855))
% 0.80/0.96 [889]P31(f65(f54(x8891,x8892,x8893,x8894),x8895,f75(x8893,x8894)))+~P31(f65(x8892,f59(x8895,f60(x8891,f49(f74(x8893,a1)),x8893),x8893,x8894),x8894))
% 0.80/0.96 [739]E(x7391,x7392)+~E(f54(x7393,x7391,x7394,x7395),f54(x7396,x7392,x7394,x7395))
% 0.80/0.96 [740]E(x7401,x7402)+~E(f54(x7401,x7403,x7404,x7405),f54(x7402,x7406,x7404,x7405))
% 0.80/0.96 [872]P31(f65(x8721,x8722,x8723))+~P31(f65(f54(x8721,x8724,x8723,x8725),f53(x8722,x8726,x8723,x8725),f75(x8723,x8725)))
% 0.80/0.96 [874]~P31(f65(f54(x8743,x8741,x8745,x8744),f53(x8746,x8742,x8745,x8744),f75(x8745,x8744)))+P31(f65(x8741,f64(x8742,x8743),x8744))
% 0.80/0.96 [891]E(f64(f56(x8911,x8912,x8913,x8914,x8915),x8916),f64(x8911,x8916))+~P31(f65(f54(x8916,x8913,x8914,x8914),x8912,f75(x8914,x8914)))
% 0.80/0.96 [892]~P31(f65(f54(f64(x8925,x8921),f64(x8925,x8922),x8926,x8926),x8924,f75(x8926,x8926)))+P31(f65(f54(x8921,x8922,x8923,x8923),f62(x8924,x8925,x8926,x8923),f75(x8923,x8923)))
% 0.80/0.96 [898]P31(f65(f54(f64(x8981,x8982),f64(x8981,x8983),x8984,x8984),x8985,f75(x8984,x8984)))+~P31(f65(f54(x8982,x8983,x8986,x8986),f62(x8985,x8981,x8984,x8986),f75(x8986,x8986)))
% 0.80/0.96 [942]P31(f55(x9421,x9422,x9423,x9424,x9425,x9426))+~P31(f64(f64(x9421,f64(x9422,x9423)),f64(x9422,x9424)))
% 0.80/0.96 [961]~P31(f55(x9611,x9612,x9613,x9614,x9615,x9616))+P31(f64(f64(x9611,f64(x9612,x9613)),f64(x9612,x9614)))
% 0.80/0.96 [968]E(f56(x9681,x9682,x9683,x9684,x9685),f56(x9686,x9682,x9683,x9684,x9685))+~E(f64(x9681,f51(x9681,x9686,x9682,x9683,x9684,x9685)),f64(x9686,f51(x9681,x9686,x9682,x9683,x9684,x9685)))
% 0.80/0.96 [969]E(f56(x9691,x9692,x9693,x9694,x9695),f56(x9696,x9692,x9693,x9694,x9695))+P31(f65(f54(f51(x9691,x9696,x9692,x9693,x9694,x9695),x9693,x9694,x9694),x9692,f75(x9694,x9694)))
% 0.80/0.96 [807]P21(f59(x8071,x8072,x8073,x8074),x8075,f74(x8074,a1))+~P21(x8071,f53(x8076,f6(x8075,f74(x8074,a1),x8073),x8073,x8074),f74(f75(x8073,x8074),a1))
% 0.80/0.96 [970]~P31(f65(f54(x9701,x9702,x9705,x9706),f63(x9703,x9704,x9705,x9707,x9706),f75(x9705,x9706)))+P31(f65(f54(x9701,f22(x9701,x9702,x9703,x9704,x9705,x9706,x9707),x9705,x9707),x9703,f75(x9705,x9707)))
% 0.80/0.96 [971]~P31(f65(f54(x9711,x9712,x9715,x9716),f63(x9713,x9714,x9715,x9717,x9716),f75(x9715,x9716)))+P31(f65(f54(f22(x9711,x9712,x9713,x9714,x9715,x9716,x9717),x9712,x9717,x9716),x9714,f75(x9717,x9716)))
% 0.80/0.96 [897]~P31(f65(x8971,f64(f64(x8972,x8976),x8977),x8975))+P31(f65(x8971,f64(f69(x8972,x8973,x8974,f74(x8975,a1)),f54(x8976,x8977,x8973,x8974)),x8975))
% 0.80/0.96 [909]~P31(f65(f54(x9092,x9093,x9094,x9095),x9097,f75(x9094,x9095)))+P31(f65(f64(f64(x9091,x9092),x9093),f61(f69(x9091,x9094,x9095,x9096),x9097,f75(x9094,x9095),x9096),x9096))
% 0.80/0.96 [924]P31(f64(f64(f64(x9241,x9242),x9243),x9244))+~P31(f64(f64(f69(x9241,x9245,x9246,f74(x9247,a1)),f54(x9242,x9243,x9245,x9246)),x9244))
% 0.80/0.96 [822]E(x8221,x8222)+P31(f65(f54(x8221,x8222,a2,a2),a73,f75(a2,a2)))+P31(f65(f54(x8222,x8221,a2,a2),a73,f75(a2,a2)))
% 0.80/0.96 [846]~P6(x8461,x8462)+~P5(x8461,x8462)+P21(f63(f58(x8461,x8462,x8462),x8461,x8462,x8462,x8462),x8461,f74(f75(x8462,x8462),a1))
% 0.80/0.96 [756]~P5(x7561,x7562)+~P7(x7561,x7562)+P5(f5(x7561,f57(f49(f74(f75(x7562,x7562),a1)),x7562),f74(f75(x7562,x7562),a1)),x7562)
% 0.80/0.96 [535]P21(x5352,x5351,x5353)+~P29(x5353)+P21(x5351,x5352,x5353)
% 0.80/0.96 [529]~P3(x5292)+~E(f47(x5293,x5291,x5292),f49(x5292))+E(x5291,f49(x5292))
% 0.80/0.96 [530]~P3(x5302)+~E(f47(x5301,x5303,x5302),f49(x5302))+E(x5301,f49(x5302))
% 0.80/0.96 [543]~P24(x5433)+~P21(x5432,x5431,x5433)+E(f4(x5431,x5432,x5433),x5432)
% 0.80/0.96 [544]~P24(x5443)+~P21(x5441,x5442,x5443)+E(f4(x5441,x5442,x5443),x5441)
% 0.80/0.96 [545]~P23(x5453)+~P21(x5451,x5452,x5453)+E(f47(x5451,x5452,x5453),x5452)
% 0.80/0.96 [546]~P23(x5463)+~P21(x5462,x5461,x5463)+E(f47(x5461,x5462,x5463),x5461)
% 0.80/0.96 [547]~P24(x5473)+P21(x5471,x5472,x5473)+~E(f4(x5471,x5472,x5473),x5471)
% 0.80/0.96 [548]~P23(x5483)+P21(x5481,x5482,x5483)+~E(f47(x5481,x5482,x5483),x5482)
% 0.80/0.96 [597]E(x5971,x5972)+~P21(x5971,x5972,f74(x5973,a1))+~P21(x5972,x5971,f74(x5973,a1))
% 0.80/0.96 [591]P18(x5911,x5912)+~P18(x5913,x5912)+~P21(x5911,x5913,f74(f75(x5912,x5912),a1))
% 0.80/0.96 [592]P19(x5921,x5922)+~P19(x5923,x5922)+~P21(x5921,x5923,f74(f75(x5922,x5922),a1))
% 0.80/0.96 [593]P7(x5931,x5932)+~P7(x5933,x5932)+~P21(x5931,x5933,f74(f75(x5932,x5932),a1))
% 0.80/0.96 [658]P31(f64(x6581,x6582))+~P31(f64(x6581,f79(x6581,x6583)))+~P31(f65(x6582,f67(x6583,a70),a70))
% 0.80/0.96 [659]P31(f64(x6591,x6592))+~P31(f64(x6591,f80(x6591,x6593)))+~P31(f65(x6592,f67(x6593,a70),a70))
% 0.80/0.96 [691]E(f57(x6911,x6912),f57(x6913,x6912))+~P21(x6911,f57(x6913,x6912),f74(f75(x6912,x6912),a1))+~P21(x6913,x6911,f74(f75(x6912,x6912),a1))
% 0.80/0.96 [753]~P18(x7533,x7532)+~P21(x7531,f59(x7533,x7531,x7532,x7532),f74(x7532,a1))+E(x7531,f49(f74(x7532,a1)))
% 0.80/0.96 [869]E(x8691,x8692)+P31(f65(f54(f81(x8691,x8692,x8693),x8692,a70,a70),x8693,f75(a70,a70)))+~P31(f65(f54(x8691,x8692,a70,a70),f57(x8693,a70),f75(a70,a70)))
% 0.80/0.96 [870]E(x8701,x8702)+~P31(f65(f54(x8701,x8702,a70,a70),f57(x8703,a70),f75(a70,a70)))+P31(f65(f54(x8701,f81(x8701,x8702,x8703),a70,a70),f57(x8703,a70),f75(a70,a70)))
% 0.80/0.96 [941]P31(f65(f54(f82(x9411,x9412,x9413),x9412,a70,a70),x9413,f75(a70,a70)))+P31(f65(f54(x9411,x9412,a70,a70),x9413,f75(a70,a70)))+~P31(f65(f54(x9411,x9412,a70,a70),f63(x9413,f57(x9413,a70),a70,a70,a70),f75(a70,a70)))
% 0.80/0.96 [954]~P31(f65(f54(x9541,x9542,a70,a70),f63(x9543,f57(x9543,a70),a70,a70,a70),f75(a70,a70)))+P31(f65(f54(x9541,x9542,a70,a70),x9543,f75(a70,a70)))+P31(f65(f54(x9541,f82(x9541,x9542,x9543),a70,a70),f63(x9543,f57(x9543,a70),a70,a70,a70),f75(a70,a70)))
% 0.80/0.96 [621]~P6(x6212,x6213)+~P6(x6211,x6213)+P6(f4(x6211,x6212,f74(f75(x6213,x6213),a1)),x6213)
% 0.80/0.96 [622]~P6(x6222,x6223)+~P6(x6221,x6223)+P6(f47(x6221,x6222,f74(f75(x6223,x6223),a1)),x6223)
% 0.80/0.96 [623]~P5(x6232,x6233)+~P5(x6231,x6233)+P5(f4(x6231,x6232,f74(f75(x6233,x6233),a1)),x6233)
% 0.80/0.96 [713]~P21(x7131,f60(x7133,f49(f74(x7132,a1)),x7132),f74(x7132,a1))+E(x7131,f49(f74(x7132,a1)))+E(x7131,f60(x7133,f49(f74(x7132,a1)),x7132))
% 0.80/0.96 [918]P21(f57(x9181,x9182),x9183,f74(f75(x9182,x9182),a1))+~P21(f63(f4(f57(x9181,x9182),x9183,f74(f75(x9182,x9182),a1)),x9181,x9182,x9182,x9182),x9183,f74(f75(x9182,x9182),a1))+~P21(f57(f49(f74(f75(x9182,x9182),a1)),x9182),x9183,f74(f75(x9182,x9182),a1))
% 0.80/0.96 [964]~P21(x9641,x9643,f74(f75(x9642,x9642),a1))+P21(f63(x9641,f57(x9641,x9642),x9642,x9642,x9642),x9643,f74(f75(x9642,x9642),a1))+~P21(f63(f4(f63(x9641,f57(x9641,x9642),x9642,x9642,x9642),x9643,f74(f75(x9642,x9642),a1)),x9641,x9642,x9642,x9642),x9643,f74(f75(x9642,x9642),a1))
% 0.80/0.96 [560]~P26(x5604)+E(x5601,x5602)+~E(f5(x5603,x5603,x5604),f5(x5601,x5602,x5604))
% 0.80/0.96 [561]~P26(x5613)+E(x5611,x5612)+~E(f5(x5611,x5612,x5613),f5(x5614,x5614,x5613))
% 0.80/0.96 [570]~P21(x5703,x5701,f74(x5704,a1))+P31(f64(x5701,x5702))+~P31(f64(x5703,x5702))
% 0.80/0.96 [600]~P23(x6004)+~P21(x6001,x6003,x6004)+P21(x6001,f47(x6002,x6003,x6004),x6004)
% 0.80/0.96 [601]~P23(x6014)+~P21(x6011,x6012,x6014)+P21(x6011,f47(x6012,x6013,x6014),x6014)
% 0.80/0.96 [602]~P24(x6023)+~P21(x6022,x6024,x6023)+P21(f4(x6021,x6022,x6023),x6024,x6023)
% 0.80/0.96 [603]~P24(x6033)+~P21(x6031,x6034,x6033)+P21(f4(x6031,x6032,x6033),x6034,x6033)
% 0.80/0.96 [614]~P24(x6143)+P21(x6141,x6142,x6143)+~P21(x6141,f4(x6144,x6142,x6143),x6143)
% 0.80/0.96 [616]~P24(x6163)+P21(x6161,x6162,x6163)+~P21(x6161,f4(x6162,x6164,x6163),x6163)
% 0.80/0.96 [618]~P23(x6183)+P21(x6181,x6182,x6183)+~P21(f47(x6184,x6181,x6183),x6182,x6183)
% 0.80/0.96 [620]~P23(x6203)+P21(x6201,x6202,x6203)+~P21(f47(x6201,x6204,x6203),x6202,x6203)
% 0.80/0.96 [626]~P21(x6261,x6264,f74(x6263,a1))+~P21(x6264,x6262,f74(x6263,a1))+P21(x6261,x6262,f74(x6263,a1))
% 0.80/0.96 [663]~P21(x6634,x6632,f74(x6633,a1))+P31(f65(x6631,x6632,x6633))+~P31(f65(x6631,x6634,x6633))
% 0.80/0.96 [693]~P21(x6932,f60(x6931,x6934,x6933),f74(x6933,a1))+P21(x6932,x6934,f74(x6933,a1))+P31(f65(x6931,x6932,x6933))
% 0.80/0.96 [694]~P21(x6942,x6944,f74(x6943,a1))+P21(f60(x6941,x6942,x6943),x6944,f74(x6943,a1))+~P31(f65(x6941,x6944,x6943))
% 0.80/0.96 [643]P15(x6431,x6432,x6433)+~P15(x6434,x6432,x6433)+~P21(x6431,x6434,f74(f75(x6432,x6433),a1))
% 0.80/0.96 [665]E(x6651,x6652)+P31(f64(x6653,x6651))+~P31(f64(f60(x6652,x6653,x6654),x6651))
% 0.80/0.96 [675]~P18(x6753,x6754)+P31(f64(x6751,x6752))+~P31(f64(x6751,f50(x6751,x6753,x6754)))
% 0.80/0.96 [676]~P18(x6763,x6764)+P31(f64(x6761,x6762))+~P31(f64(x6761,f42(x6761,x6763,x6764)))
% 0.80/0.96 [677]~P18(x6773,x6774)+P31(f64(x6771,x6772))+~P31(f64(x6771,f43(x6771,x6773,x6774)))
% 0.80/0.96 [678]~P18(x6783,x6784)+P31(f64(x6781,x6782))+~P31(f64(x6781,f45(x6781,x6783,x6784)))
% 0.80/0.96 [687]~P21(x6871,x6872,f74(x6874,a1))+~P21(x6871,x6873,f74(x6874,a1))+P21(x6871,f4(x6872,x6873,f74(x6874,a1)),f74(x6874,a1))
% 0.80/0.96 [689]~P21(x6891,x6894,f74(x6893,a1))+~P21(x6892,x6894,f74(x6893,a1))+P21(f47(x6891,x6892,f74(x6893,a1)),x6894,f74(x6893,a1))
% 0.80/0.96 [690]~P21(x6901,x6902,f74(x6904,a1))+~P21(x6903,x6901,f74(x6904,a1))+E(f5(x6901,f5(x6902,x6903,f74(x6904,a1)),f74(x6904,a1)),x6903)
% 0.80/0.96 [701]~P31(f65(x7014,x7012,x7013))+~P31(f65(x7014,x7011,x7013))+~E(f4(x7011,x7012,f74(x7013,a1)),f49(f74(x7013,a1)))
% 0.80/0.96 [702]~P18(x7022,x7023)+~P31(f65(x7024,x7021,x7023))+P31(f65(f44(x7021,x7022,x7023),x7021,x7023))
% 0.80/0.96 [703]~P18(x7032,x7033)+~P31(f65(x7034,x7031,x7033))+P31(f65(f40(x7031,x7032,x7033),x7031,x7033))
% 0.80/0.96 [718]E(x7181,x7182)+P31(f65(x7181,x7183,x7184))+~P31(f65(x7181,f60(x7182,x7183,x7184),x7184))
% 0.80/0.96 [726]P31(f64(x7261,x7262))+~P31(f65(x7262,f67(x7263,x7264),x7264))+P31(f65(f14(x7261,x7263,x7264),f67(x7263,x7264),x7264))
% 0.80/0.96 [727]P31(f64(x7271,x7272))+~P31(f65(x7272,f67(x7273,x7274),x7274))+P31(f65(f39(x7271,x7273,x7274),f67(x7273,x7274),x7274))
% 0.80/0.96 [728]P31(f64(x7281,x7282))+~P31(f65(x7282,f67(x7283,x7284),x7284))+~P31(f64(x7281,f14(x7281,x7283,x7284)))
% 0.80/0.96 [729]P31(f64(x7291,x7292))+~P31(f65(x7292,f67(x7293,x7294),x7294))+~P31(f64(x7291,f39(x7291,x7293,x7294)))
% 0.80/0.96 [761]~P21(x7611,f60(x7612,x7614,x7613),f74(x7613,a1))+P21(f5(x7611,f60(x7612,f49(f74(x7613,a1)),x7613),f74(x7613,a1)),x7614,f74(x7613,a1))+~P31(f65(x7612,x7611,x7613))
% 0.80/0.96 [780]P21(x7801,f60(x7802,x7803,x7804),f74(x7804,a1))+~P21(f5(x7801,f60(x7802,f49(f74(x7804,a1)),x7804),f74(x7804,a1)),x7803,f74(x7804,a1))+~P31(f65(x7802,x7801,x7804))
% 0.80/0.96 [784]~P13(x7844,x7843,x7842)+~P31(f65(x7841,x7844,x7842))+P31(f65(f54(x7841,x7841,x7842,x7842),x7843,f75(x7842,x7842)))
% 0.80/0.96 [815]E(x8151,x8152)+~P31(f65(f54(x8151,x8152,x8154,x8154),f57(x8153,x8154),f75(x8154,x8154)))+P31(f65(x8151,f48(x8153,x8154,x8154),x8154))
% 0.80/0.96 [819]~P31(f65(f54(x8191,x8194,x8193,x8193),x8192,f75(x8193,x8193)))+P31(f65(x8191,f67(x8192,x8193),x8193))+~P31(f65(x8194,f67(x8192,x8193),x8193))
% 0.80/0.96 [826]~P31(f65(f54(x8261,x8264,x8263,x8263),f57(x8262,x8263),f75(x8263,x8263)))+P31(f65(x8261,f67(x8262,x8263),x8263))+~P31(f65(x8264,f67(x8262,x8263),x8263))
% 0.80/0.96 [830]~P18(x8304,x8303)+P18(f60(f54(x8301,x8302,x8303,x8303),x8304,f75(x8303,x8303)),x8303)+P31(f65(f54(x8302,x8301,x8303,x8303),f57(x8304,x8303),f75(x8303,x8303)))
% 0.80/0.96 [831]~P19(x8314,x8313)+P19(f60(f54(x8311,x8312,x8313,x8313),x8314,f75(x8313,x8313)),x8313)+P31(f65(f54(x8312,x8311,x8313,x8313),f57(x8314,x8313),f75(x8313,x8313)))
% 0.80/0.96 [858]~P6(x8584,x8583)+~P31(f65(f54(x8582,x8581,x8583,x8583),x8584,f75(x8583,x8583)))+P31(f65(f54(x8581,x8582,x8583,x8583),x8584,f75(x8583,x8583)))
% 0.80/0.96 [879]~P18(x8791,x8792)+~P31(f65(f54(x8794,x8793,x8792,x8792),x8791,f75(x8792,x8792)))+~P31(f65(f54(x8793,x8794,x8792,x8792),x8791,f75(x8792,x8792)))
% 0.80/0.96 [905]E(x9051,x9052)+~P31(f65(f54(x9051,x9052,x9054,x9054),f57(x9053,x9054),f75(x9054,x9054)))+P31(f65(f54(x9051,f30(x9053,x9051,x9052,x9054),x9054,x9054),x9053,f75(x9054,x9054)))
% 0.80/0.96 [906]E(x9061,x9062)+~P31(f65(f54(x9061,x9062,x9064,x9064),f57(x9063,x9064),f75(x9064,x9064)))+P31(f65(f54(f32(x9061,x9062,x9063,x9064),x9062,x9064,x9064),x9063,f75(x9064,x9064)))
% 0.80/0.96 [907]E(x9071,x9072)+~P31(f65(f54(x9071,x9072,x9074,x9074),f57(x9073,x9074),f75(x9074,x9074)))+P31(f65(f54(x9071,f32(x9071,x9072,x9073,x9074),x9074,x9074),f57(x9073,x9074),f75(x9074,x9074)))
% 0.80/0.96 [908]E(x9081,x9082)+~P31(f65(f54(x9081,x9082,x9084,x9084),f57(x9083,x9084),f75(x9084,x9084)))+P31(f65(f54(f30(x9083,x9081,x9082,x9084),x9082,x9084,x9084),f57(x9083,x9084),f75(x9084,x9084)))
% 0.80/0.96 [929]E(x9291,x9292)+P31(f65(f54(x9291,x9292,x9293,x9293),f63(x9294,f57(x9294,x9293),x9293,x9293,x9293),f75(x9293,x9293)))+~P31(f65(f54(x9291,x9292,x9293,x9293),f57(x9294,x9293),f75(x9293,x9293)))
% 0.80/0.96 [950]~P21(x9504,x9502,f74(f75(x9503,x9503),a1))+~P31(f65(x9501,f63(x9504,f57(x9504,x9503),x9503,x9503,x9503),f75(x9503,x9503)))+P31(f65(x9501,f63(x9502,f57(x9502,x9503),x9503,x9503,x9503),f75(x9503,x9503)))
% 0.80/0.96 [952]P31(f65(f54(x9521,f34(x9524,x9521,x9522,x9523),x9523,x9523),x9524,f75(x9523,x9523)))+~P31(f65(f54(x9521,x9522,x9523,x9523),f63(x9524,f57(x9524,x9523),x9523,x9523,x9523),f75(x9523,x9523)))+P31(f65(f54(x9521,x9522,x9523,x9523),x9524,f75(x9523,x9523)))
% 0.80/0.96 [953]P31(f65(f54(f38(x9531,x9532,x9534,x9533),x9532,x9533,x9533),x9534,f75(x9533,x9533)))+~P31(f65(f54(x9531,x9532,x9533,x9533),f63(x9534,f57(x9534,x9533),x9533,x9533,x9533),f75(x9533,x9533)))+P31(f65(f54(x9531,x9532,x9533,x9533),x9534,f75(x9533,x9533)))
% 0.80/0.96 [959]P31(f65(f54(x9591,f38(x9591,x9592,x9594,x9593),x9593,x9593),f63(x9594,f57(x9594,x9593),x9593,x9593,x9593),f75(x9593,x9593)))+~P31(f65(f54(x9591,x9592,x9593,x9593),f63(x9594,f57(x9594,x9593),x9593,x9593,x9593),f75(x9593,x9593)))+P31(f65(f54(x9591,x9592,x9593,x9593),x9594,f75(x9593,x9593)))
% 0.80/0.96 [960]P31(f65(f54(f34(x9604,x9601,x9602,x9603),x9602,x9603,x9603),f63(x9604,f57(x9604,x9603),x9603,x9603,x9603),f75(x9603,x9603)))+~P31(f65(f54(x9601,x9602,x9603,x9603),f63(x9604,f57(x9604,x9603),x9603,x9603,x9603),f75(x9603,x9603)))+P31(f65(f54(x9601,x9602,x9603,x9603),x9604,f75(x9603,x9603)))
% 0.80/0.96 [669]~P31(f64(x6692,x6694))+~P31(f64(x6691,x6694))+P31(f64(f4(x6691,x6692,f74(x6693,a1)),x6694))
% 0.80/0.96 [712]P31(f64(x7121,x7122))+P31(f64(x7123,x7122))+~P31(f64(f47(x7121,x7123,f74(x7124,a1)),x7122))
% 0.80/0.96 [731]~P31(f65(x7311,x7314,x7313))+P31(f65(x7311,x7312,x7313))+P31(f65(x7311,f5(x7314,x7312,f74(x7313,a1)),x7313))
% 0.80/0.96 [738]~P31(f65(x7381,x7383,x7384))+~P31(f65(x7381,x7382,x7384))+P31(f65(x7381,f4(x7382,x7383,f74(x7384,a1)),x7384))
% 0.80/0.96 [750]P31(f65(x7501,x7502,x7503))+P31(f65(x7501,x7504,x7503))+~P31(f65(x7501,f47(x7502,x7504,f74(x7503,a1)),x7503))
% 0.80/0.96 [915]~E(f63(x9151,x9152,x9154,x9154,x9154),f49(f74(f75(x9154,x9154),a1)))+~E(f63(x9151,x9153,x9154,x9154,x9154),f49(f74(f75(x9154,x9154),a1)))+E(f63(x9151,f47(x9152,x9153,f74(f75(x9154,x9154),a1)),x9154,x9154,x9154),f49(f74(f75(x9154,x9154),a1)))
% 0.80/0.96 [916]~E(f63(x9161,x9164,x9163,x9163,x9163),f49(f74(f75(x9163,x9163),a1)))+~E(f63(x9162,x9164,x9163,x9163,x9163),f49(f74(f75(x9163,x9163),a1)))+E(f63(f47(x9161,x9162,f74(f75(x9163,x9163),a1)),x9164,x9163,x9163,x9163),f49(f74(f75(x9163,x9163),a1)))
% 0.80/0.96 [814]~P8(x8144,x8142,x8143)+~P31(f65(x8141,x8144,x8143))+P31(f65(x8141,f59(x8142,f60(x8141,f49(f74(x8143,a1)),x8143),x8143,x8143),x8143))
% 0.80/0.96 [594]~P22(x5944)+P21(f64(x5941,x5942),f64(x5943,x5942),x5944)+~P21(x5941,x5943,f74(x5945,x5944))
% 0.80/0.96 [844]~P15(x8442,x8444,x8445)+~P15(x8441,x8443,x8444)+P15(f63(x8441,x8442,x8443,x8444,x8445),x8443,x8445)
% 0.80/0.96 [719]~P21(x7191,x7194,f74(x7193,a1))+~P21(x7195,x7192,f74(x7193,a1))+P21(f5(x7191,x7192,f74(x7193,a1)),f5(x7194,x7195,f74(x7193,a1)),f74(x7193,a1))
% 0.80/0.96 [720]~P21(x7201,x7204,f74(x7203,a1))+~P21(x7202,x7205,f74(x7203,a1))+P21(f4(x7201,x7202,f74(x7203,a1)),f4(x7204,x7205,f74(x7203,a1)),f74(x7203,a1))
% 0.80/0.96 [721]~P21(x7211,x7214,f74(x7213,a1))+~P21(x7212,x7215,f74(x7213,a1))+P21(f47(x7211,x7212,f74(x7213,a1)),f47(x7214,x7215,f74(x7213,a1)),f74(x7213,a1))
% 0.80/0.96 [802]~P13(x8022,x8024,x8023)+P31(f65(x8021,x8022,x8023))+~P31(f65(f54(x8025,x8021,x8023,x8023),x8024,f75(x8023,x8023)))
% 0.80/0.96 [803]~P13(x8032,x8034,x8033)+P31(f65(x8031,x8032,x8033))+~P31(f65(f54(x8031,x8035,x8033,x8033),x8034,f75(x8033,x8033)))
% 0.80/0.96 [804]~P8(x8042,x8044,x8043)+P31(f65(x8041,x8042,x8043))+~P31(f65(f54(x8045,x8041,x8043,x8043),x8044,f75(x8043,x8043)))
% 0.80/0.96 [805]~P8(x8052,x8054,x8053)+P31(f65(x8051,x8052,x8053))+~P31(f65(f54(x8051,x8055,x8053,x8053),x8054,f75(x8053,x8053)))
% 0.80/0.96 [902]P31(f65(f54(x9021,x9022,x9023,x9023),f57(x9024,x9023),f75(x9023,x9023)))+~P31(f65(f54(x9021,x9025,x9023,x9023),f57(x9024,x9023),f75(x9023,x9023)))+~P31(f65(f54(x9025,x9022,x9023,x9023),x9024,f75(x9023,x9023)))
% 0.80/0.96 [903]P31(f65(f54(x9031,x9032,x9033,x9033),f57(x9034,x9033),f75(x9033,x9033)))+~P31(f65(f54(x9035,x9032,x9033,x9033),f57(x9034,x9033),f75(x9033,x9033)))+~P31(f65(f54(x9031,x9035,x9033,x9033),x9034,f75(x9033,x9033)))
% 0.80/0.96 [904]P31(f65(f54(x9041,x9042,x9043,x9043),f57(x9044,x9043),f75(x9043,x9043)))+~P31(f65(f54(x9041,x9045,x9043,x9043),f57(x9044,x9043),f75(x9043,x9043)))+~P31(f65(f54(x9045,x9042,x9043,x9043),f57(x9044,x9043),f75(x9043,x9043)))
% 0.80/0.96 [933]~P31(f65(f54(x9331,x9335,x9333,x9333),x9334,f75(x9333,x9333)))+P31(f65(f54(x9331,x9332,x9333,x9333),f63(x9334,f57(x9334,x9333),x9333,x9333,x9333),f75(x9333,x9333)))+~P31(f65(f54(x9335,x9332,x9333,x9333),x9334,f75(x9333,x9333)))
% 0.80/0.96 [934]~P31(f65(f54(x9341,x9345,x9343,x9343),f57(x9344,x9343),f75(x9343,x9343)))+P31(f65(f54(x9341,x9342,x9343,x9343),f63(x9344,f57(x9344,x9343),x9343,x9343,x9343),f75(x9343,x9343)))+~P31(f65(f54(x9345,x9342,x9343,x9343),x9344,f75(x9343,x9343)))
% 0.80/0.96 [955]P31(f65(f54(x9551,x9552,x9553,x9553),f63(x9554,f57(x9554,x9553),x9553,x9553,x9553),f75(x9553,x9553)))+~P31(f65(f54(x9551,x9555,x9553,x9553),f63(x9554,f57(x9554,x9553),x9553,x9553,x9553),f75(x9553,x9553)))+~P31(f65(f54(x9555,x9552,x9553,x9553),x9554,f75(x9553,x9553)))
% 0.80/0.96 [956]P31(f65(f54(x9561,x9562,x9563,x9563),f63(x9564,f57(x9564,x9563),x9563,x9563,x9563),f75(x9563,x9563)))+~P31(f65(f54(x9565,x9562,x9563,x9563),f63(x9564,f57(x9564,x9563),x9563,x9563,x9563),f75(x9563,x9563)))+~P31(f65(f54(x9561,x9565,x9563,x9563),x9564,f75(x9563,x9563)))
% 0.80/0.96 [957]P31(f65(f54(x9571,x9572,x9573,x9573),f63(x9574,f57(x9574,x9573),x9573,x9573,x9573),f75(x9573,x9573)))+~P31(f65(f54(x9571,x9575,x9573,x9573),f63(x9574,f57(x9574,x9573),x9573,x9573,x9573),f75(x9573,x9573)))+~P31(f65(f54(x9575,x9572,x9573,x9573),f57(x9574,x9573),f75(x9573,x9573)))
% 0.80/0.96 [958]P31(f65(f54(x9581,x9582,x9583,x9583),f63(x9584,f57(x9584,x9583),x9583,x9583,x9583),f75(x9583,x9583)))+~P31(f65(f54(x9585,x9582,x9583,x9583),f63(x9584,f57(x9584,x9583),x9583,x9583,x9583),f75(x9583,x9583)))+~P31(f65(f54(x9581,x9585,x9583,x9583),f57(x9584,x9583),f75(x9583,x9583)))
% 0.80/0.96 [966]P31(f65(f54(x9661,x9662,x9663,x9663),f63(x9664,f57(x9664,x9663),x9663,x9663,x9663),f75(x9663,x9663)))+~P31(f65(f54(x9661,x9665,x9663,x9663),f63(x9664,f57(x9664,x9663),x9663,x9663,x9663),f75(x9663,x9663)))+~P31(f65(f54(x9665,x9662,x9663,x9663),f63(x9664,f57(x9664,x9663),x9663,x9663,x9663),f75(x9663,x9663)))
% 0.80/0.96 [723]~P13(x7232,x7235,x7233)+~P13(x7231,x7234,x7233)+P13(f4(x7231,x7232,f74(x7233,a1)),f4(x7234,x7235,f74(f75(x7233,x7233),a1)),x7233)
% 0.80/0.96 [724]~P13(x7242,x7245,x7243)+~P13(x7241,x7244,x7243)+P13(f47(x7241,x7242,f74(x7243,a1)),f47(x7244,x7245,f74(f75(x7243,x7243),a1)),x7243)
% 0.80/0.96 [745]E(x7451,x7452)+E(x7451,x7453)+~E(f60(x7454,f60(x7451,f49(f74(x7455,a1)),x7455),x7455),f60(x7453,f60(x7452,f49(f74(x7455,a1)),x7455),x7455))
% 0.80/0.96 [746]E(x7461,x7462)+E(x7463,x7462)+~E(f60(x7463,f60(x7461,f49(f74(x7464,a1)),x7464),x7464),f60(x7465,f60(x7462,f49(f74(x7464,a1)),x7464),x7464))
% 0.80/0.96 [747]E(x7471,x7472)+E(x7473,x7472)+~E(f60(x7473,f60(x7471,f49(f74(x7474,a1)),x7474),x7474),f60(x7472,f60(x7475,f49(f74(x7474,a1)),x7474),x7474))
% 0.80/0.96 [748]E(x7481,x7482)+E(x7481,x7483)+~E(f60(x7481,f60(x7484,f49(f74(x7485,a1)),x7485),x7485),f60(x7483,f60(x7482,f49(f74(x7485,a1)),x7485),x7485))
% 0.80/0.96 [850]~P8(x8505,x8501,x8503)+~P31(f65(f54(x8502,x8504,x8503,x8503),x8501,f75(x8503,x8503)))+E(f59(x8501,f60(x8502,f49(f74(x8503,a1)),x8503),x8503,x8503),f59(x8501,f60(x8504,f49(f74(x8503,a1)),x8503),x8503,x8503))
% 0.80/0.96 [887]~P8(x8875,x8871,x8873)+P21(f59(x8871,f60(x8872,f49(f74(x8873,a1)),x8873),x8873,x8873),f59(x8871,f60(x8874,f49(f74(x8873,a1)),x8873),x8873,x8873),f74(x8873,a1))+~P31(f65(f54(x8872,x8874,x8873,x8873),x8871,f75(x8873,x8873)))
% 0.80/0.96 [766]~P21(f61(x7661,x7665,x7666,x7664),x7663,f74(x7664,a1))+~P31(f65(x7662,x7665,x7666))+P31(f65(f64(x7661,x7662),x7663,x7664))
% 0.80/0.96 [781]~P21(x7812,x7816,f74(x7813,a1))+P21(f59(x7811,x7812,x7813,x7814),f59(x7815,x7816,x7813,x7814),f74(x7814,a1))+~P21(x7811,x7815,f74(f75(x7813,x7814),a1))
% 0.80/0.96 [817]~P9(x8174,x8171,x8175,x8176)+E(f64(x8171,x8172),f64(x8171,x8173))+~P31(f65(f54(x8172,x8173,x8175,x8175),x8174,f75(x8175,x8175)))
% 0.80/0.96 [843]~P31(f65(x8431,x8435,x8433))+~P31(f65(x8432,f64(x8436,x8431),x8434))+P31(f65(f54(x8431,x8432,x8433,x8434),f53(x8435,x8436,x8433,x8434),f75(x8433,x8434)))
% 0.80/0.96 [864]~P31(f65(x8646,x8643,x8644))+~P31(f65(f54(x8646,x8641,x8644,x8645),x8642,f75(x8644,x8645)))+P31(f65(x8641,f59(x8642,x8643,x8644,x8645),x8645))
% 0.80/0.96 [785]E(x7851,x7852)+~P31(f65(x7856,x7853,x7854))+~E(f53(x7851,f6(x7853,f74(x7854,a1),x7855),x7855,x7854),f53(x7852,f6(x7853,f74(x7854,a1),x7855),x7855,x7854))
% 0.80/0.96 [806]~P21(x8061,x8065,f74(x8064,a1))+~P31(f65(x8066,x8062,x8063))+P21(f53(x8061,f6(x8062,f74(x8063,a1),x8064),x8064,x8063),f53(x8065,f6(x8062,f74(x8063,a1),x8064),x8064,x8063),f74(f75(x8064,x8063),a1))
% 0.80/0.96 [823]~P31(f64(x8231,x8235))+~P31(f64(x8236,x8234))+P31(f64(x8231,f64(f68(x8232,x8233),f54(x8234,x8235,x8232,x8233))))
% 0.80/0.96 [856]P21(x8561,x8562,f74(x8563,a1))+~P31(f65(x8564,x8565,x8566))+~P21(f53(x8561,f6(x8565,f74(x8566,a1),x8563),x8563,x8566),f53(x8562,f6(x8565,f74(x8566,a1),x8563),x8563,x8566),f74(f75(x8563,x8566),a1))
% 0.80/0.96 [951]~P8(x9515,x9514,x9513)+P31(f65(f54(x9511,x9512,x9513,x9513),x9514,f75(x9513,x9513)))+~P31(f65(x9516,f4(f59(x9514,f60(x9511,f49(f74(x9513,a1)),x9513),x9513,x9513),f59(x9514,f60(x9512,f49(f74(x9513,a1)),x9513),x9513,x9513),f74(x9513,a1)),x9513))
% 0.80/0.96 [914]~P21(x9142,x9147,f74(f75(x9144,x9145),a1))+~P21(x9141,x9146,f74(f75(x9143,x9144),a1))+P21(f63(x9141,x9142,x9143,x9144,x9145),f63(x9146,x9147,x9143,x9144,x9145),f74(f75(x9143,x9145),a1))
% 0.80/0.96 [917]~E(f56(x9171,x9174,x9175,x9176,x9177),f56(x9173,x9174,x9175,x9176,x9177))+E(f64(x9171,x9172),f64(x9173,x9172))+~P31(f65(f54(x9172,x9175,x9176,x9176),x9174,f75(x9176,x9176)))
% 0.80/0.96 [932]~P31(f65(f54(x9321,x9328,x9323,x9327),x9325,f75(x9323,x9327)))+P31(f65(f54(x9321,x9322,x9323,x9324),f63(x9325,x9326,x9323,x9327,x9324),f75(x9323,x9324)))+~P31(f65(f54(x9328,x9322,x9327,x9324),x9326,f75(x9327,x9324)))
% 0.80/0.96 [919]~P21(x9192,f53(x9198,f6(x9197,f74(x9195,a1),x9194),x9194,x9195),f74(f75(x9194,x9195),a1))+~P21(x9191,f53(x9196,f6(x9198,f74(x9194,a1),x9193),x9193,x9194),f74(f75(x9193,x9194),a1))+P21(f63(x9191,x9192,x9193,x9194,x9195),f53(x9196,f6(x9197,f74(x9195,a1),x9193),x9193,x9195),f74(f75(x9193,x9195),a1))
% 0.80/0.96 [564]~P21(x5642,x5641,x5643)+~P21(x5641,x5642,x5643)+E(x5641,x5642)+~P28(x5643)
% 0.80/0.96 [566]~P5(x5662,x5663)+~P14(x5662,x5663)+~P16(x5661,x5662,x5663)+P11(x5661,x5662,x5663)
% 0.80/0.96 [762]~P18(x7622,x7623)+~P18(x7621,x7623)+~E(f4(f48(x7621,x7623,x7623),f48(f58(x7622,x7623,x7623),x7623,x7623),f74(x7623,a1)),f49(f74(x7623,a1)))+P18(f47(x7621,x7622,f74(f75(x7623,x7623),a1)),x7623)
% 0.80/0.96 [893]~P18(x8932,x8933)+~P18(x8931,x8933)+~P21(f63(x8931,x8932,x8933,x8933,x8933),x8931,f74(f75(x8933,x8933),a1))+P18(f47(x8931,x8932,f74(f75(x8933,x8933),a1)),x8933)
% 0.80/0.96 [588]~P28(x5883)+~P21(x5881,x5884,x5883)+P21(x5881,x5882,x5883)+~P21(x5884,x5882,x5883)
% 0.80/0.96 [589]~P30(x5893)+~P21(x5891,x5894,x5893)+P21(x5891,x5892,x5893)+~P21(x5894,x5892,x5893)
% 0.80/0.96 [639]~P24(x6394)+~P21(x6391,x6393,x6394)+~P21(x6391,x6392,x6394)+P21(x6391,f4(x6392,x6393,x6394),x6394)
% 0.80/0.96 [642]~P23(x6423)+~P21(x6422,x6424,x6423)+~P21(x6421,x6424,x6423)+P21(f47(x6421,x6422,x6423),x6424,x6423)
% 0.80/0.96 [656]E(x6561,x6562)+~E(f60(x6563,x6561,x6564),f60(x6563,x6562,x6564))+P31(f65(x6563,x6561,x6564))+P31(f65(x6563,x6562,x6564))
% 0.80/0.96 [820]P31(f64(x8201,x8202))+P31(f64(x8201,x8203))+~P31(f65(f54(x8202,f79(x8201,x8204),a70,a70),x8204,f75(a70,a70)))+~P31(f65(x8203,f67(x8204,a70),a70))
% 0.80/0.96 [821]P31(f64(x8211,x8212))+P31(f64(x8211,x8213))+~P31(f65(f54(x8212,f80(x8211,x8214),a70,a70),x8214,f75(a70,a70)))+~P31(f65(x8213,f67(x8214,a70),a70))
% 0.80/0.96 [828]P31(f64(x8281,x8282))+~P31(f65(f54(x8283,f79(x8281,x8284),a70,a70),x8284,f75(a70,a70)))+~P31(f65(x8282,f67(x8284,a70),a70))+P31(f65(x8283,f67(x8284,a70),a70))
% 0.80/0.96 [829]P31(f64(x8291,x8292))+~P31(f65(f54(x8293,f80(x8291,x8294),a70,a70),x8294,f75(a70,a70)))+~P31(f65(x8292,f67(x8294,a70),a70))+P31(f65(x8293,f67(x8294,a70),a70))
% 0.80/0.96 [881]E(x8811,x8812)+~P7(x8813,x8814)+~P31(f65(f54(x8812,x8811,x8814,x8814),x8813,f75(x8814,x8814)))+~P31(f65(f54(x8811,x8812,x8814,x8814),x8813,f75(x8814,x8814)))
% 0.80/0.96 [624]~P27(x6243)+~P21(x6245,x6244,x6243)+P21(x6241,x6242,x6243)+~E(f5(x6244,x6245,x6243),f5(x6242,x6241,x6243))
% 0.80/0.96 [625]~P27(x6253)+~P21(x6255,x6254,x6253)+P21(x6251,x6252,x6253)+~E(f5(x6252,x6251,x6253),f5(x6254,x6255,x6253))
% 0.80/0.96 [838]~P18(x8384,x8385)+P31(f64(x8381,x8382))+P31(f64(x8381,x8383))+~P31(f65(f54(x8382,f50(x8381,x8384,x8385),x8385,x8385),x8384,f75(x8385,x8385)))
% 0.80/0.96 [839]~P18(x8394,x8395)+P31(f64(x8391,x8392))+P31(f64(x8391,x8393))+~P31(f65(f54(x8392,f42(x8391,x8394,x8395),x8395,x8395),x8394,f75(x8395,x8395)))
% 0.80/0.96 [840]~P18(x8404,x8405)+P31(f64(x8401,x8402))+P31(f64(x8401,x8403))+~P31(f65(f54(x8402,f43(x8401,x8404,x8405),x8405,x8405),x8404,f75(x8405,x8405)))
% 0.80/0.96 [841]~P18(x8414,x8415)+P31(f64(x8411,x8412))+P31(f64(x8411,x8413))+~P31(f65(f54(x8412,f45(x8411,x8414,x8415),x8415,x8415),x8414,f75(x8415,x8415)))
% 0.80/0.96 [847]P31(f64(x8471,x8472))+P31(f64(x8471,x8473))+~P31(f65(f54(x8472,f14(x8471,x8474,x8475),x8475,x8475),x8474,f75(x8475,x8475)))+~P31(f65(x8473,f67(x8474,x8475),x8475))
% 0.80/0.96 [848]P31(f64(x8481,x8482))+P31(f64(x8481,x8483))+~P31(f65(f54(x8482,f39(x8481,x8484,x8485),x8485,x8485),x8484,f75(x8485,x8485)))+~P31(f65(x8483,f67(x8484,x8485),x8485))
% 0.80/0.96 [852]~P18(x8521,x8522)+~P31(f65(x8523,x8524,x8522))+~P31(f65(x8525,x8524,x8522))+~P31(f65(f54(x8525,f44(x8524,x8521,x8522),x8522,x8522),x8521,f75(x8522,x8522)))
% 0.80/0.96 [853]~P18(x8531,x8532)+~P31(f65(x8533,x8534,x8532))+~P31(f65(x8535,x8534,x8532))+~P31(f65(f54(x8535,f40(x8534,x8531,x8532),x8532,x8532),x8531,f75(x8532,x8532)))
% 0.80/0.96 [859]~P31(f64(x8591,x8593))+P31(f64(x8591,x8592))+~P31(f65(f54(x8592,x8593,x8595,x8595),f57(x8594,x8595),f75(x8595,x8595)))+P31(f64(x8591,f28(x8591,x8593,x8594,x8595)))
% 0.80/0.96 [860]~P31(f64(x8601,x8603))+P31(f64(x8601,x8602))+~P31(f65(f54(x8603,x8602,x8605,x8605),f57(x8604,x8605),f75(x8605,x8605)))+P31(f64(x8601,f31(x8601,x8603,x8604,x8605)))
% 0.80/0.96 [875]P31(f64(x8751,x8752))+~P31(f64(x8751,x8753))+~P31(f65(f54(x8752,x8753,x8755,x8755),f57(x8754,x8755),f75(x8755,x8755)))+~P31(f64(x8751,f29(x8751,x8753,x8754,x8755)))
% 0.80/0.96 [876]P31(f64(x8761,x8762))+~P31(f64(x8761,x8763))+~P31(f65(f54(x8763,x8762,x8765,x8765),f57(x8764,x8765),f75(x8765,x8765)))+~P31(f64(x8761,f35(x8761,x8763,x8764,x8765)))
% 0.80/0.96 [900]~P5(x9004,x9003)+~P31(f65(f54(x9001,x9005,x9003,x9003),x9004,f75(x9003,x9003)))+P31(f65(f54(x9001,x9002,x9003,x9003),x9004,f75(x9003,x9003)))+~P31(f65(f54(x9005,x9002,x9003,x9003),x9004,f75(x9003,x9003)))
% 0.80/0.96 [910]~P31(f64(x9101,x9103))+P31(f64(x9101,x9102))+~P31(f65(f54(x9103,x9102,x9105,x9105),f57(x9104,x9105),f75(x9105,x9105)))+P31(f65(f54(x9103,f31(x9101,x9103,x9104,x9105),x9105,x9105),f57(x9104,x9105),f75(x9105,x9105)))
% 0.80/0.96 [911]~P31(f64(x9111,x9113))+P31(f64(x9111,x9112))+~P31(f65(f54(x9112,x9113,x9115,x9115),f57(x9114,x9115),f75(x9115,x9115)))+P31(f65(f54(f28(x9111,x9113,x9114,x9115),x9113,x9115,x9115),f57(x9114,x9115),f75(x9115,x9115)))
% 0.80/0.96 [925]~P31(f64(x9251,x9253))+P31(f64(x9251,x9252))+~P31(f65(f54(x9252,x9253,x9255,x9255),f57(x9254,x9255),f75(x9255,x9255)))+P31(f65(f54(f29(x9251,x9253,x9254,x9255),f28(x9251,x9253,x9254,x9255),x9255,x9255),x9254,f75(x9255,x9255)))
% 0.80/0.96 [926]~P31(f64(x9261,x9263))+P31(f64(x9261,x9262))+~P31(f65(f54(x9263,x9262,x9265,x9265),f57(x9264,x9265),f75(x9265,x9265)))+P31(f65(f54(f31(x9261,x9263,x9264,x9265),f35(x9261,x9263,x9264,x9265),x9265,x9265),x9264,f75(x9265,x9265)))
% 0.80/0.96 [871]E(x8711,x8712)+P31(f65(x8711,x8713,x8714))+~P21(x8715,f53(x8713,f6(x8713,f74(x8714,a1),x8714),x8714,x8714),f74(f75(x8714,x8714),a1))+~P31(f65(f54(x8711,x8712,x8714,x8714),f57(x8715,x8714),f75(x8714,x8714)))
% 0.80/0.96 [854]~P8(x8545,x8544,x8543)+~P31(f65(x8542,x8545,x8543))+P31(f65(f54(x8541,x8542,x8543,x8543),x8544,f75(x8543,x8543)))+~E(f59(x8544,f60(x8541,f49(f74(x8543,a1)),x8543),x8543,x8543),f59(x8544,f60(x8542,f49(f74(x8543,a1)),x8543),x8543,x8543))
% 0.80/0.96 [896]~P8(x8965,x8964,x8963)+~P31(f65(x8962,x8965,x8963))+~P21(f59(x8964,f60(x8962,f49(f74(x8963,a1)),x8963),x8963,x8963),f59(x8964,f60(x8961,f49(f74(x8963,a1)),x8963),x8963,x8963),f74(x8963,a1))+P31(f65(f54(x8961,x8962,x8963,x8963),x8964,f75(x8963,x8963)))
% 0.80/0.96 [882]E(x8821,x8822)+~P15(x8823,x8824,x8825)+~P31(f65(f54(x8826,x8821,x8824,x8825),x8823,f75(x8824,x8825)))+~P31(f65(f54(x8826,x8822,x8824,x8825),x8823,f75(x8824,x8825)))
% 0.80/0.96 [937]~P10(x9377,x9371,x9372,x9378,x9374,x9375)+~P8(x9376,x9377,x9378)+P9(x9371,f64(x9372,x9373),x9374,x9375)+~P31(f65(x9373,x9376,x9378))
% 0.80/0.96 [949]~P10(x9496,x9497,x9491,x9498,x9499,x94910)+E(f64(f64(x9491,x9492),x9493),f64(f64(x9491,x9494),x9495))+~P31(f65(f54(x9493,x9495,x9499,x9499),x9497,f75(x9499,x9499)))+~P31(f65(f54(x9492,x9494,x9498,x9498),x9496,f75(x9498,x9498)))
% 0.80/0.96 [920]~P15(x9204,x9203,x9203)+P31(f65(f54(x9201,x9202,x9203,x9203),f57(x9204,x9203),f75(x9203,x9203)))+P31(f65(f54(x9202,x9201,x9203,x9203),f57(x9204,x9203),f75(x9203,x9203)))+~P31(f65(f54(x9205,x9202,x9203,x9203),f57(x9204,x9203),f75(x9203,x9203)))+~P31(f65(f54(x9205,x9201,x9203,x9203),f57(x9204,x9203),f75(x9203,x9203)))
% 0.80/0.96 [936]~P7(x9363,x9364)+E(x9361,x9362)+~P13(f47(f48(x9363,x9364,x9364),f48(f58(x9363,x9364,x9364),x9364,x9364),f74(x9364,a1)),x9363,x9364)+~E(f59(x9363,f60(x9361,f49(f74(x9364,a1)),x9364),x9364,x9364),f59(x9363,f60(x9362,f49(f74(x9364,a1)),x9364),x9364,x9364))+~P31(f65(x9361,f47(f48(x9363,x9364,x9364),f48(f58(x9363,x9364,x9364),x9364,x9364),f74(x9364,a1)),x9364))+~P31(f65(x9362,f47(f48(x9363,x9364,x9364),f48(f58(x9363,x9364,x9364),x9364,x9364),f74(x9364,a1)),x9364))
% 0.80/0.96 [845]E(x8451,x8452)+~P16(x8455,x8454,x8453)+~P31(f65(x8452,x8455,x8453))+~P31(f65(x8451,x8455,x8453))+P31(f65(f54(x8451,x8452,x8453,x8453),x8454,f75(x8453,x8453)))+P31(f65(f54(x8452,x8451,x8453,x8453),x8454,f75(x8453,x8453)))
% 0.80/0.96 %EqnAxiom
% 0.80/0.96 [1]E(x11,x11)
% 0.80/0.96 [2]E(x22,x21)+~E(x21,x22)
% 0.80/0.96 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.80/0.96 [4]~E(x41,x42)+E(f3(x41,x43),f3(x42,x43))
% 0.80/0.96 [5]~E(x51,x52)+E(f3(x53,x51),f3(x53,x52))
% 0.80/0.96 [6]~E(x61,x62)+E(f65(x61,x63,x64),f65(x62,x63,x64))
% 0.80/0.96 [7]~E(x71,x72)+E(f65(x73,x71,x74),f65(x73,x72,x74))
% 0.80/0.96 [8]~E(x81,x82)+E(f65(x83,x84,x81),f65(x83,x84,x82))
% 0.80/0.96 [9]~E(x91,x92)+E(f57(x91,x93),f57(x92,x93))
% 0.80/0.96 [10]~E(x101,x102)+E(f57(x103,x101),f57(x103,x102))
% 0.80/0.96 [11]~E(x111,x112)+E(f75(x111,x113),f75(x112,x113))
% 0.80/0.96 [12]~E(x121,x122)+E(f75(x123,x121),f75(x123,x122))
% 0.80/0.96 [13]~E(x131,x132)+E(f54(x131,x133,x134,x135),f54(x132,x133,x134,x135))
% 0.80/0.96 [14]~E(x141,x142)+E(f54(x143,x141,x144,x145),f54(x143,x142,x144,x145))
% 0.80/0.96 [15]~E(x151,x152)+E(f54(x153,x154,x151,x155),f54(x153,x154,x152,x155))
% 0.80/0.96 [16]~E(x161,x162)+E(f54(x163,x164,x165,x161),f54(x163,x164,x165,x162))
% 0.80/0.96 [17]~E(x171,x172)+E(f30(x171,x173,x174,x175),f30(x172,x173,x174,x175))
% 0.80/0.96 [18]~E(x181,x182)+E(f30(x183,x181,x184,x185),f30(x183,x182,x184,x185))
% 0.80/0.96 [19]~E(x191,x192)+E(f30(x193,x194,x191,x195),f30(x193,x194,x192,x195))
% 0.80/0.96 [20]~E(x201,x202)+E(f30(x203,x204,x205,x201),f30(x203,x204,x205,x202))
% 0.80/0.96 [21]~E(x211,x212)+E(f60(x211,x213,x214),f60(x212,x213,x214))
% 0.80/0.96 [22]~E(x221,x222)+E(f60(x223,x221,x224),f60(x223,x222,x224))
% 0.80/0.96 [23]~E(x231,x232)+E(f60(x233,x234,x231),f60(x233,x234,x232))
% 0.80/0.96 [24]~E(x241,x242)+E(f74(x241,x243),f74(x242,x243))
% 0.80/0.96 [25]~E(x251,x252)+E(f74(x253,x251),f74(x253,x252))
% 0.80/0.96 [26]~E(x261,x262)+E(f48(x261,x263,x264),f48(x262,x263,x264))
% 0.80/0.96 [27]~E(x271,x272)+E(f48(x273,x271,x274),f48(x273,x272,x274))
% 0.80/0.96 [28]~E(x281,x282)+E(f48(x283,x284,x281),f48(x283,x284,x282))
% 0.80/0.96 [29]~E(x291,x292)+E(f47(x291,x293,x294),f47(x292,x293,x294))
% 0.80/0.96 [30]~E(x301,x302)+E(f47(x303,x301,x304),f47(x303,x302,x304))
% 0.80/0.96 [31]~E(x311,x312)+E(f47(x313,x314,x311),f47(x313,x314,x312))
% 0.80/0.96 [32]~E(x321,x322)+E(f4(x321,x323,x324),f4(x322,x323,x324))
% 0.80/0.96 [33]~E(x331,x332)+E(f4(x333,x331,x334),f4(x333,x332,x334))
% 0.80/0.96 [34]~E(x341,x342)+E(f4(x343,x344,x341),f4(x343,x344,x342))
% 0.80/0.96 [35]~E(x351,x352)+E(f64(x351,x353),f64(x352,x353))
% 0.80/0.96 [36]~E(x361,x362)+E(f64(x363,x361),f64(x363,x362))
% 0.80/0.96 [37]~E(x371,x372)+E(f58(x371,x373,x374),f58(x372,x373,x374))
% 0.80/0.96 [38]~E(x381,x382)+E(f58(x383,x381,x384),f58(x383,x382,x384))
% 0.80/0.96 [39]~E(x391,x392)+E(f58(x393,x394,x391),f58(x393,x394,x392))
% 0.80/0.96 [40]~E(x401,x402)+E(f63(x401,x403,x404,x405,x406),f63(x402,x403,x404,x405,x406))
% 0.80/0.96 [41]~E(x411,x412)+E(f63(x413,x411,x414,x415,x416),f63(x413,x412,x414,x415,x416))
% 0.80/0.96 [42]~E(x421,x422)+E(f63(x423,x424,x421,x425,x426),f63(x423,x424,x422,x425,x426))
% 0.80/0.96 [43]~E(x431,x432)+E(f63(x433,x434,x435,x431,x436),f63(x433,x434,x435,x432,x436))
% 0.80/0.96 [44]~E(x441,x442)+E(f63(x443,x444,x445,x446,x441),f63(x443,x444,x445,x446,x442))
% 0.80/0.96 [45]~E(x451,x452)+E(f49(x451),f49(x452))
% 0.80/0.96 [46]~E(x461,x462)+E(f51(x461,x463,x464,x465,x466,x467),f51(x462,x463,x464,x465,x466,x467))
% 0.80/0.96 [47]~E(x471,x472)+E(f51(x473,x471,x474,x475,x476,x477),f51(x473,x472,x474,x475,x476,x477))
% 0.80/0.96 [48]~E(x481,x482)+E(f51(x483,x484,x481,x485,x486,x487),f51(x483,x484,x482,x485,x486,x487))
% 0.80/0.96 [49]~E(x491,x492)+E(f51(x493,x494,x495,x491,x496,x497),f51(x493,x494,x495,x492,x496,x497))
% 0.80/0.96 [50]~E(x501,x502)+E(f51(x503,x504,x505,x506,x501,x507),f51(x503,x504,x505,x506,x502,x507))
% 0.80/0.96 [51]~E(x511,x512)+E(f51(x513,x514,x515,x516,x517,x511),f51(x513,x514,x515,x516,x517,x512))
% 0.80/0.96 [52]~E(x521,x522)+E(f61(x521,x523,x524,x525),f61(x522,x523,x524,x525))
% 0.80/0.96 [53]~E(x531,x532)+E(f61(x533,x531,x534,x535),f61(x533,x532,x534,x535))
% 0.80/0.96 [54]~E(x541,x542)+E(f61(x543,x544,x541,x545),f61(x543,x544,x542,x545))
% 0.80/0.96 [55]~E(x551,x552)+E(f61(x553,x554,x555,x551),f61(x553,x554,x555,x552))
% 0.80/0.96 [56]~E(x561,x562)+E(f53(x561,x563,x564,x565),f53(x562,x563,x564,x565))
% 0.80/0.96 [57]~E(x571,x572)+E(f53(x573,x571,x574,x575),f53(x573,x572,x574,x575))
% 0.80/0.96 [58]~E(x581,x582)+E(f53(x583,x584,x581,x585),f53(x583,x584,x582,x585))
% 0.80/0.96 [59]~E(x591,x592)+E(f53(x593,x594,x595,x591),f53(x593,x594,x595,x592))
% 0.80/0.96 [60]~E(x601,x602)+E(f59(x601,x603,x604,x605),f59(x602,x603,x604,x605))
% 0.80/0.96 [61]~E(x611,x612)+E(f59(x613,x611,x614,x615),f59(x613,x612,x614,x615))
% 0.80/0.96 [62]~E(x621,x622)+E(f59(x623,x624,x621,x625),f59(x623,x624,x622,x625))
% 0.80/0.96 [63]~E(x631,x632)+E(f59(x633,x634,x635,x631),f59(x633,x634,x635,x632))
% 0.80/0.96 [64]~E(x641,x642)+E(f67(x641,x643),f67(x642,x643))
% 0.80/0.96 [65]~E(x651,x652)+E(f67(x653,x651),f67(x653,x652))
% 0.80/0.96 [66]~E(x661,x662)+E(f5(x661,x663,x664),f5(x662,x663,x664))
% 0.80/0.96 [67]~E(x671,x672)+E(f5(x673,x671,x674),f5(x673,x672,x674))
% 0.80/0.96 [68]~E(x681,x682)+E(f5(x683,x684,x681),f5(x683,x684,x682))
% 0.80/0.96 [69]~E(x691,x692)+E(f34(x691,x693,x694,x695),f34(x692,x693,x694,x695))
% 0.80/0.96 [70]~E(x701,x702)+E(f34(x703,x701,x704,x705),f34(x703,x702,x704,x705))
% 0.80/0.96 [71]~E(x711,x712)+E(f34(x713,x714,x711,x715),f34(x713,x714,x712,x715))
% 0.80/0.96 [72]~E(x721,x722)+E(f34(x723,x724,x725,x721),f34(x723,x724,x725,x722))
% 0.80/0.96 [73]~E(x731,x732)+E(f31(x731,x733,x734,x735),f31(x732,x733,x734,x735))
% 0.80/0.96 [74]~E(x741,x742)+E(f31(x743,x741,x744,x745),f31(x743,x742,x744,x745))
% 0.80/0.96 [75]~E(x751,x752)+E(f31(x753,x754,x751,x755),f31(x753,x754,x752,x755))
% 0.80/0.96 [76]~E(x761,x762)+E(f31(x763,x764,x765,x761),f31(x763,x764,x765,x762))
% 0.80/0.96 [77]~E(x771,x772)+E(f10(x771,x773),f10(x772,x773))
% 0.80/0.96 [78]~E(x781,x782)+E(f10(x783,x781),f10(x783,x782))
% 0.80/0.96 [79]~E(x791,x792)+E(f40(x791,x793,x794),f40(x792,x793,x794))
% 0.80/0.96 [80]~E(x801,x802)+E(f40(x803,x801,x804),f40(x803,x802,x804))
% 0.80/0.96 [81]~E(x811,x812)+E(f40(x813,x814,x811),f40(x813,x814,x812))
% 0.80/0.96 [82]~E(x821,x822)+E(f14(x821,x823,x824),f14(x822,x823,x824))
% 0.80/0.96 [83]~E(x831,x832)+E(f14(x833,x831,x834),f14(x833,x832,x834))
% 0.80/0.96 [84]~E(x841,x842)+E(f14(x843,x844,x841),f14(x843,x844,x842))
% 0.80/0.96 [85]~E(x851,x852)+E(f6(x851,x853,x854),f6(x852,x853,x854))
% 0.80/0.96 [86]~E(x861,x862)+E(f6(x863,x861,x864),f6(x863,x862,x864))
% 0.80/0.96 [87]~E(x871,x872)+E(f6(x873,x874,x871),f6(x873,x874,x872))
% 0.80/0.96 [88]~E(x881,x882)+E(f24(x881,x883),f24(x882,x883))
% 0.80/0.96 [89]~E(x891,x892)+E(f24(x893,x891),f24(x893,x892))
% 0.80/0.96 [90]~E(x901,x902)+E(f69(x901,x903,x904,x905),f69(x902,x903,x904,x905))
% 0.80/0.96 [91]~E(x911,x912)+E(f69(x913,x911,x914,x915),f69(x913,x912,x914,x915))
% 0.80/0.96 [92]~E(x921,x922)+E(f69(x923,x924,x921,x925),f69(x923,x924,x922,x925))
% 0.80/0.96 [93]~E(x931,x932)+E(f69(x933,x934,x935,x931),f69(x933,x934,x935,x932))
% 0.80/0.96 [94]~E(x941,x942)+E(f79(x941,x943),f79(x942,x943))
% 0.80/0.96 [95]~E(x951,x952)+E(f79(x953,x951),f79(x953,x952))
% 0.80/0.96 [96]~E(x961,x962)+E(f16(x961,x963),f16(x962,x963))
% 0.80/0.96 [97]~E(x971,x972)+E(f16(x973,x971),f16(x973,x972))
% 0.80/0.96 [98]~E(x981,x982)+E(f46(x981,x983,x984),f46(x982,x983,x984))
% 0.80/0.96 [99]~E(x991,x992)+E(f46(x993,x991,x994),f46(x993,x992,x994))
% 0.80/0.96 [100]~E(x1001,x1002)+E(f46(x1003,x1004,x1001),f46(x1003,x1004,x1002))
% 0.80/0.96 [101]~E(x1011,x1012)+E(f38(x1011,x1013,x1014,x1015),f38(x1012,x1013,x1014,x1015))
% 0.80/0.96 [102]~E(x1021,x1022)+E(f38(x1023,x1021,x1024,x1025),f38(x1023,x1022,x1024,x1025))
% 0.80/0.96 [103]~E(x1031,x1032)+E(f38(x1033,x1034,x1031,x1035),f38(x1033,x1034,x1032,x1035))
% 0.80/0.96 [104]~E(x1041,x1042)+E(f38(x1043,x1044,x1045,x1041),f38(x1043,x1044,x1045,x1042))
% 0.80/0.96 [105]~E(x1051,x1052)+E(f9(x1051,x1053,x1054),f9(x1052,x1053,x1054))
% 0.80/0.96 [106]~E(x1061,x1062)+E(f9(x1063,x1061,x1064),f9(x1063,x1062,x1064))
% 0.80/0.96 [107]~E(x1071,x1072)+E(f9(x1073,x1074,x1071),f9(x1073,x1074,x1072))
% 0.80/0.96 [108]~E(x1081,x1082)+E(f80(x1081,x1083),f80(x1082,x1083))
% 0.80/0.96 [109]~E(x1091,x1092)+E(f80(x1093,x1091),f80(x1093,x1092))
% 0.80/0.96 [110]~E(x1101,x1102)+E(f41(x1101,x1103,x1104),f41(x1102,x1103,x1104))
% 0.80/0.96 [111]~E(x1111,x1112)+E(f41(x1113,x1111,x1114),f41(x1113,x1112,x1114))
% 0.80/0.96 [112]~E(x1121,x1122)+E(f41(x1123,x1124,x1121),f41(x1123,x1124,x1122))
% 0.80/0.96 [113]~E(x1131,x1132)+E(f50(x1131,x1133,x1134),f50(x1132,x1133,x1134))
% 0.80/0.96 [114]~E(x1141,x1142)+E(f50(x1143,x1141,x1144),f50(x1143,x1142,x1144))
% 0.80/0.96 [115]~E(x1151,x1152)+E(f50(x1153,x1154,x1151),f50(x1153,x1154,x1152))
% 0.80/0.96 [116]~E(x1161,x1162)+E(f37(x1161,x1163,x1164,x1165),f37(x1162,x1163,x1164,x1165))
% 0.80/0.96 [117]~E(x1171,x1172)+E(f37(x1173,x1171,x1174,x1175),f37(x1173,x1172,x1174,x1175))
% 0.80/0.96 [118]~E(x1181,x1182)+E(f37(x1183,x1184,x1181,x1185),f37(x1183,x1184,x1182,x1185))
% 0.80/0.96 [119]~E(x1191,x1192)+E(f37(x1193,x1194,x1195,x1191),f37(x1193,x1194,x1195,x1192))
% 0.80/0.96 [120]~E(x1201,x1202)+E(f22(x1201,x1203,x1204,x1205,x1206,x1207,x1208),f22(x1202,x1203,x1204,x1205,x1206,x1207,x1208))
% 0.80/0.96 [121]~E(x1211,x1212)+E(f22(x1213,x1211,x1214,x1215,x1216,x1217,x1218),f22(x1213,x1212,x1214,x1215,x1216,x1217,x1218))
% 0.80/0.96 [122]~E(x1221,x1222)+E(f22(x1223,x1224,x1221,x1225,x1226,x1227,x1228),f22(x1223,x1224,x1222,x1225,x1226,x1227,x1228))
% 0.80/0.96 [123]~E(x1231,x1232)+E(f22(x1233,x1234,x1235,x1231,x1236,x1237,x1238),f22(x1233,x1234,x1235,x1232,x1236,x1237,x1238))
% 0.80/0.96 [124]~E(x1241,x1242)+E(f22(x1243,x1244,x1245,x1246,x1241,x1247,x1248),f22(x1243,x1244,x1245,x1246,x1242,x1247,x1248))
% 0.80/0.96 [125]~E(x1251,x1252)+E(f22(x1253,x1254,x1255,x1256,x1257,x1251,x1258),f22(x1253,x1254,x1255,x1256,x1257,x1252,x1258))
% 0.80/0.96 [126]~E(x1261,x1262)+E(f22(x1263,x1264,x1265,x1266,x1267,x1268,x1261),f22(x1263,x1264,x1265,x1266,x1267,x1268,x1262))
% 0.80/0.96 [127]~E(x1271,x1272)+E(f66(x1271,x1273,x1274,x1275),f66(x1272,x1273,x1274,x1275))
% 0.80/0.96 [128]~E(x1281,x1282)+E(f66(x1283,x1281,x1284,x1285),f66(x1283,x1282,x1284,x1285))
% 0.80/0.96 [129]~E(x1291,x1292)+E(f66(x1293,x1294,x1291,x1295),f66(x1293,x1294,x1292,x1295))
% 0.80/0.96 [130]~E(x1301,x1302)+E(f66(x1303,x1304,x1305,x1301),f66(x1303,x1304,x1305,x1302))
% 0.80/0.96 [131]~E(x1311,x1312)+E(f42(x1311,x1313,x1314),f42(x1312,x1313,x1314))
% 0.80/0.96 [132]~E(x1321,x1322)+E(f42(x1323,x1321,x1324),f42(x1323,x1322,x1324))
% 0.80/0.96 [133]~E(x1331,x1332)+E(f42(x1333,x1334,x1331),f42(x1333,x1334,x1332))
% 0.80/0.96 [134]~E(x1341,x1342)+E(f21(x1341,x1343,x1344,x1345),f21(x1342,x1343,x1344,x1345))
% 0.80/0.96 [135]~E(x1351,x1352)+E(f21(x1353,x1351,x1354,x1355),f21(x1353,x1352,x1354,x1355))
% 0.80/0.96 [136]~E(x1361,x1362)+E(f21(x1363,x1364,x1361,x1365),f21(x1363,x1364,x1362,x1365))
% 0.80/0.96 [137]~E(x1371,x1372)+E(f21(x1373,x1374,x1375,x1371),f21(x1373,x1374,x1375,x1372))
% 0.80/0.96 [138]~E(x1381,x1382)+E(f56(x1381,x1383,x1384,x1385,x1386),f56(x1382,x1383,x1384,x1385,x1386))
% 0.80/0.96 [139]~E(x1391,x1392)+E(f56(x1393,x1391,x1394,x1395,x1396),f56(x1393,x1392,x1394,x1395,x1396))
% 0.80/0.96 [140]~E(x1401,x1402)+E(f56(x1403,x1404,x1401,x1405,x1406),f56(x1403,x1404,x1402,x1405,x1406))
% 0.80/0.96 [141]~E(x1411,x1412)+E(f56(x1413,x1414,x1415,x1411,x1416),f56(x1413,x1414,x1415,x1412,x1416))
% 0.80/0.96 [142]~E(x1421,x1422)+E(f56(x1423,x1424,x1425,x1426,x1421),f56(x1423,x1424,x1425,x1426,x1422))
% 0.80/0.96 [143]~E(x1431,x1432)+E(f33(x1431,x1433),f33(x1432,x1433))
% 0.80/0.96 [144]~E(x1441,x1442)+E(f33(x1443,x1441),f33(x1443,x1442))
% 0.80/0.96 [145]~E(x1451,x1452)+E(f13(x1451,x1453,x1454,x1455),f13(x1452,x1453,x1454,x1455))
% 0.80/0.96 [146]~E(x1461,x1462)+E(f13(x1463,x1461,x1464,x1465),f13(x1463,x1462,x1464,x1465))
% 0.80/0.96 [147]~E(x1471,x1472)+E(f13(x1473,x1474,x1471,x1475),f13(x1473,x1474,x1472,x1475))
% 0.80/0.96 [148]~E(x1481,x1482)+E(f13(x1483,x1484,x1485,x1481),f13(x1483,x1484,x1485,x1482))
% 0.80/0.96 [149]~E(x1491,x1492)+E(f25(x1491,x1493),f25(x1492,x1493))
% 0.80/0.96 [150]~E(x1501,x1502)+E(f25(x1503,x1501),f25(x1503,x1502))
% 0.80/0.96 [151]~E(x1511,x1512)+E(f15(x1511,x1513,x1514),f15(x1512,x1513,x1514))
% 0.80/0.96 [152]~E(x1521,x1522)+E(f15(x1523,x1521,x1524),f15(x1523,x1522,x1524))
% 0.80/0.96 [153]~E(x1531,x1532)+E(f15(x1533,x1534,x1531),f15(x1533,x1534,x1532))
% 0.80/0.96 [154]~E(x1541,x1542)+E(f81(x1541,x1543,x1544),f81(x1542,x1543,x1544))
% 0.80/0.96 [155]~E(x1551,x1552)+E(f81(x1553,x1551,x1554),f81(x1553,x1552,x1554))
% 0.80/0.96 [156]~E(x1561,x1562)+E(f81(x1563,x1564,x1561),f81(x1563,x1564,x1562))
% 0.80/0.96 [157]~E(x1571,x1572)+E(f20(x1571,x1573,x1574,x1575,x1576),f20(x1572,x1573,x1574,x1575,x1576))
% 0.80/0.96 [158]~E(x1581,x1582)+E(f20(x1583,x1581,x1584,x1585,x1586),f20(x1583,x1582,x1584,x1585,x1586))
% 0.80/0.96 [159]~E(x1591,x1592)+E(f20(x1593,x1594,x1591,x1595,x1596),f20(x1593,x1594,x1592,x1595,x1596))
% 0.80/0.96 [160]~E(x1601,x1602)+E(f20(x1603,x1604,x1605,x1601,x1606),f20(x1603,x1604,x1605,x1602,x1606))
% 0.80/0.96 [161]~E(x1611,x1612)+E(f20(x1613,x1614,x1615,x1616,x1611),f20(x1613,x1614,x1615,x1616,x1612))
% 0.80/0.96 [162]~E(x1621,x1622)+E(f26(x1621,x1623),f26(x1622,x1623))
% 0.80/0.96 [163]~E(x1631,x1632)+E(f26(x1633,x1631),f26(x1633,x1632))
% 0.80/0.96 [164]~E(x1641,x1642)+E(f27(x1641,x1643),f27(x1642,x1643))
% 0.80/0.96 [165]~E(x1651,x1652)+E(f27(x1653,x1651),f27(x1653,x1652))
% 0.80/0.96 [166]~E(x1661,x1662)+E(f62(x1661,x1663,x1664,x1665),f62(x1662,x1663,x1664,x1665))
% 0.80/0.96 [167]~E(x1671,x1672)+E(f62(x1673,x1671,x1674,x1675),f62(x1673,x1672,x1674,x1675))
% 0.80/0.96 [168]~E(x1681,x1682)+E(f62(x1683,x1684,x1681,x1685),f62(x1683,x1684,x1682,x1685))
% 0.80/0.96 [169]~E(x1691,x1692)+E(f62(x1693,x1694,x1695,x1691),f62(x1693,x1694,x1695,x1692))
% 0.80/0.96 [170]~E(x1701,x1702)+E(f23(x1701,x1703),f23(x1702,x1703))
% 0.80/0.96 [171]~E(x1711,x1712)+E(f23(x1713,x1711),f23(x1713,x1712))
% 0.80/0.96 [172]~E(x1721,x1722)+E(f28(x1721,x1723,x1724,x1725),f28(x1722,x1723,x1724,x1725))
% 0.80/0.96 [173]~E(x1731,x1732)+E(f28(x1733,x1731,x1734,x1735),f28(x1733,x1732,x1734,x1735))
% 0.80/0.96 [174]~E(x1741,x1742)+E(f28(x1743,x1744,x1741,x1745),f28(x1743,x1744,x1742,x1745))
% 0.80/0.96 [175]~E(x1751,x1752)+E(f28(x1753,x1754,x1755,x1751),f28(x1753,x1754,x1755,x1752))
% 0.80/0.96 [176]~E(x1761,x1762)+E(f52(x1761,x1763),f52(x1762,x1763))
% 0.80/0.96 [177]~E(x1771,x1772)+E(f52(x1773,x1771),f52(x1773,x1772))
% 0.80/0.96 [178]~E(x1781,x1782)+E(f68(x1781,x1783),f68(x1782,x1783))
% 0.80/0.96 [179]~E(x1791,x1792)+E(f68(x1793,x1791),f68(x1793,x1792))
% 0.80/0.96 [180]~E(x1801,x1802)+E(f12(x1801,x1803,x1804,x1805,x1806),f12(x1802,x1803,x1804,x1805,x1806))
% 0.80/0.96 [181]~E(x1811,x1812)+E(f12(x1813,x1811,x1814,x1815,x1816),f12(x1813,x1812,x1814,x1815,x1816))
% 0.80/0.96 [182]~E(x1821,x1822)+E(f12(x1823,x1824,x1821,x1825,x1826),f12(x1823,x1824,x1822,x1825,x1826))
% 0.80/0.96 [183]~E(x1831,x1832)+E(f12(x1833,x1834,x1835,x1831,x1836),f12(x1833,x1834,x1835,x1832,x1836))
% 0.80/0.96 [184]~E(x1841,x1842)+E(f12(x1843,x1844,x1845,x1846,x1841),f12(x1843,x1844,x1845,x1846,x1842))
% 0.80/0.96 [185]~E(x1851,x1852)+E(f29(x1851,x1853,x1854,x1855),f29(x1852,x1853,x1854,x1855))
% 0.80/0.96 [186]~E(x1861,x1862)+E(f29(x1863,x1861,x1864,x1865),f29(x1863,x1862,x1864,x1865))
% 0.80/0.96 [187]~E(x1871,x1872)+E(f29(x1873,x1874,x1871,x1875),f29(x1873,x1874,x1872,x1875))
% 0.80/0.96 [188]~E(x1881,x1882)+E(f29(x1883,x1884,x1885,x1881),f29(x1883,x1884,x1885,x1882))
% 0.80/0.96 [189]~E(x1891,x1892)+E(f55(x1891,x1893,x1894,x1895,x1896,x1897),f55(x1892,x1893,x1894,x1895,x1896,x1897))
% 0.80/0.96 [190]~E(x1901,x1902)+E(f55(x1903,x1901,x1904,x1905,x1906,x1907),f55(x1903,x1902,x1904,x1905,x1906,x1907))
% 0.80/0.96 [191]~E(x1911,x1912)+E(f55(x1913,x1914,x1911,x1915,x1916,x1917),f55(x1913,x1914,x1912,x1915,x1916,x1917))
% 0.80/0.96 [192]~E(x1921,x1922)+E(f55(x1923,x1924,x1925,x1921,x1926,x1927),f55(x1923,x1924,x1925,x1922,x1926,x1927))
% 0.80/0.96 [193]~E(x1931,x1932)+E(f55(x1933,x1934,x1935,x1936,x1931,x1937),f55(x1933,x1934,x1935,x1936,x1932,x1937))
% 0.80/0.96 [194]~E(x1941,x1942)+E(f55(x1943,x1944,x1945,x1946,x1947,x1941),f55(x1943,x1944,x1945,x1946,x1947,x1942))
% 0.80/0.96 [195]~E(x1951,x1952)+E(f36(x1951,x1953,x1954,x1955),f36(x1952,x1953,x1954,x1955))
% 0.80/0.96 [196]~E(x1961,x1962)+E(f36(x1963,x1961,x1964,x1965),f36(x1963,x1962,x1964,x1965))
% 0.80/0.96 [197]~E(x1971,x1972)+E(f36(x1973,x1974,x1971,x1975),f36(x1973,x1974,x1972,x1975))
% 0.80/0.96 [198]~E(x1981,x1982)+E(f36(x1983,x1984,x1985,x1981),f36(x1983,x1984,x1985,x1982))
% 0.80/0.96 [199]~E(x1991,x1992)+E(f43(x1991,x1993,x1994),f43(x1992,x1993,x1994))
% 0.80/0.96 [200]~E(x2001,x2002)+E(f43(x2003,x2001,x2004),f43(x2003,x2002,x2004))
% 0.80/0.96 [201]~E(x2011,x2012)+E(f43(x2013,x2014,x2011),f43(x2013,x2014,x2012))
% 0.80/0.96 [202]~E(x2021,x2022)+E(f45(x2021,x2023,x2024),f45(x2022,x2023,x2024))
% 0.80/0.96 [203]~E(x2031,x2032)+E(f45(x2033,x2031,x2034),f45(x2033,x2032,x2034))
% 0.80/0.96 [204]~E(x2041,x2042)+E(f45(x2043,x2044,x2041),f45(x2043,x2044,x2042))
% 0.80/0.96 [205]~E(x2051,x2052)+E(f39(x2051,x2053,x2054),f39(x2052,x2053,x2054))
% 0.80/0.96 [206]~E(x2061,x2062)+E(f39(x2063,x2061,x2064),f39(x2063,x2062,x2064))
% 0.80/0.96 [207]~E(x2071,x2072)+E(f39(x2073,x2074,x2071),f39(x2073,x2074,x2072))
% 0.80/0.96 [208]~E(x2081,x2082)+E(f19(x2081,x2083,x2084,x2085,x2086),f19(x2082,x2083,x2084,x2085,x2086))
% 0.80/0.96 [209]~E(x2091,x2092)+E(f19(x2093,x2091,x2094,x2095,x2096),f19(x2093,x2092,x2094,x2095,x2096))
% 0.80/0.96 [210]~E(x2101,x2102)+E(f19(x2103,x2104,x2101,x2105,x2106),f19(x2103,x2104,x2102,x2105,x2106))
% 0.80/0.96 [211]~E(x2111,x2112)+E(f19(x2113,x2114,x2115,x2111,x2116),f19(x2113,x2114,x2115,x2112,x2116))
% 0.80/0.96 [212]~E(x2121,x2122)+E(f19(x2123,x2124,x2125,x2126,x2121),f19(x2123,x2124,x2125,x2126,x2122))
% 0.80/0.96 [213]~E(x2131,x2132)+E(f18(x2131,x2133,x2134,x2135),f18(x2132,x2133,x2134,x2135))
% 0.80/0.96 [214]~E(x2141,x2142)+E(f18(x2143,x2141,x2144,x2145),f18(x2143,x2142,x2144,x2145))
% 0.80/0.96 [215]~E(x2151,x2152)+E(f18(x2153,x2154,x2151,x2155),f18(x2153,x2154,x2152,x2155))
% 0.80/0.96 [216]~E(x2161,x2162)+E(f18(x2163,x2164,x2165,x2161),f18(x2163,x2164,x2165,x2162))
% 0.80/0.96 [217]~E(x2171,x2172)+E(f17(x2171,x2173),f17(x2172,x2173))
% 0.80/0.96 [218]~E(x2181,x2182)+E(f17(x2183,x2181),f17(x2183,x2182))
% 0.80/0.96 [219]~E(x2191,x2192)+E(f82(x2191,x2193,x2194),f82(x2192,x2193,x2194))
% 0.80/0.96 [220]~E(x2201,x2202)+E(f82(x2203,x2201,x2204),f82(x2203,x2202,x2204))
% 0.80/0.96 [221]~E(x2211,x2212)+E(f82(x2213,x2214,x2211),f82(x2213,x2214,x2212))
% 0.80/0.96 [222]~E(x2221,x2222)+E(f7(x2221,x2223),f7(x2222,x2223))
% 0.80/0.96 [223]~E(x2231,x2232)+E(f7(x2233,x2231),f7(x2233,x2232))
% 0.80/0.96 [224]~E(x2241,x2242)+E(f44(x2241,x2243,x2244),f44(x2242,x2243,x2244))
% 0.80/0.96 [225]~E(x2251,x2252)+E(f44(x2253,x2251,x2254),f44(x2253,x2252,x2254))
% 0.80/0.96 [226]~E(x2261,x2262)+E(f44(x2263,x2264,x2261),f44(x2263,x2264,x2262))
% 0.80/0.96 [227]~E(x2271,x2272)+E(f32(x2271,x2273,x2274,x2275),f32(x2272,x2273,x2274,x2275))
% 0.80/0.96 [228]~E(x2281,x2282)+E(f32(x2283,x2281,x2284,x2285),f32(x2283,x2282,x2284,x2285))
% 0.80/0.96 [229]~E(x2291,x2292)+E(f32(x2293,x2294,x2291,x2295),f32(x2293,x2294,x2292,x2295))
% 0.80/0.96 [230]~E(x2301,x2302)+E(f32(x2303,x2304,x2305,x2301),f32(x2303,x2304,x2305,x2302))
% 0.80/0.96 [231]~E(x2311,x2312)+E(f35(x2311,x2313,x2314,x2315),f35(x2312,x2313,x2314,x2315))
% 0.80/0.96 [232]~E(x2321,x2322)+E(f35(x2323,x2321,x2324,x2325),f35(x2323,x2322,x2324,x2325))
% 0.80/0.96 [233]~E(x2331,x2332)+E(f35(x2333,x2334,x2331,x2335),f35(x2333,x2334,x2332,x2335))
% 0.80/0.96 [234]~E(x2341,x2342)+E(f35(x2343,x2344,x2345,x2341),f35(x2343,x2344,x2345,x2342))
% 0.80/0.96 [235]~E(x2351,x2352)+E(f11(x2351,x2353,x2354,x2355),f11(x2352,x2353,x2354,x2355))
% 0.80/0.96 [236]~E(x2361,x2362)+E(f11(x2363,x2361,x2364,x2365),f11(x2363,x2362,x2364,x2365))
% 0.80/0.96 [237]~E(x2371,x2372)+E(f11(x2373,x2374,x2371,x2375),f11(x2373,x2374,x2372,x2375))
% 0.80/0.96 [238]~E(x2381,x2382)+E(f11(x2383,x2384,x2385,x2381),f11(x2383,x2384,x2385,x2382))
% 0.80/0.96 [239]~E(x2391,x2392)+E(f8(x2391,x2393),f8(x2392,x2393))
% 0.80/0.96 [240]~E(x2401,x2402)+E(f8(x2403,x2401),f8(x2403,x2402))
% 0.80/0.96 [241]~P1(x2411)+P1(x2412)+~E(x2411,x2412)
% 0.80/0.96 [242]~P2(x2421)+P2(x2422)+~E(x2421,x2422)
% 0.80/0.96 [243]~P23(x2431)+P23(x2432)+~E(x2431,x2432)
% 0.80/0.96 [244]~P24(x2441)+P24(x2442)+~E(x2441,x2442)
% 0.80/0.96 [245]~P25(x2451)+P25(x2452)+~E(x2451,x2452)
% 0.80/0.96 [246]~P3(x2461)+P3(x2462)+~E(x2461,x2462)
% 0.80/0.96 [247]~P28(x2471)+P28(x2472)+~E(x2471,x2472)
% 0.80/0.96 [248]~P4(x2481)+P4(x2482)+~E(x2481,x2482)
% 0.80/0.96 [249]~P22(x2491)+P22(x2492)+~E(x2491,x2492)
% 0.80/0.96 [250]~P30(x2501)+P30(x2502)+~E(x2501,x2502)
% 0.80/0.96 [251]P5(x2512,x2513)+~E(x2511,x2512)+~P5(x2511,x2513)
% 0.80/0.96 [252]P5(x2523,x2522)+~E(x2521,x2522)+~P5(x2523,x2521)
% 0.80/0.96 [253]P6(x2532,x2533)+~E(x2531,x2532)+~P6(x2531,x2533)
% 0.80/0.96 [254]P6(x2543,x2542)+~E(x2541,x2542)+~P6(x2543,x2541)
% 0.80/0.96 [255]~P31(x2551)+P31(x2552)+~E(x2551,x2552)
% 0.80/0.96 [256]P21(x2562,x2563,x2564)+~E(x2561,x2562)+~P21(x2561,x2563,x2564)
% 0.80/0.96 [257]P21(x2573,x2572,x2574)+~E(x2571,x2572)+~P21(x2573,x2571,x2574)
% 0.80/0.96 [258]P21(x2583,x2584,x2582)+~E(x2581,x2582)+~P21(x2583,x2584,x2581)
% 0.80/0.96 [259]P7(x2592,x2593)+~E(x2591,x2592)+~P7(x2591,x2593)
% 0.80/0.96 [260]P7(x2603,x2602)+~E(x2601,x2602)+~P7(x2603,x2601)
% 0.80/0.96 [261]P17(x2612,x2613,x2614)+~E(x2611,x2612)+~P17(x2611,x2613,x2614)
% 0.80/0.96 [262]P17(x2623,x2622,x2624)+~E(x2621,x2622)+~P17(x2623,x2621,x2624)
% 0.80/0.96 [263]P17(x2633,x2634,x2632)+~E(x2631,x2632)+~P17(x2633,x2634,x2631)
% 0.80/0.96 [264]P18(x2642,x2643)+~E(x2641,x2642)+~P18(x2641,x2643)
% 0.80/0.96 [265]P18(x2653,x2652)+~E(x2651,x2652)+~P18(x2653,x2651)
% 0.80/0.96 [266]P19(x2662,x2663)+~E(x2661,x2662)+~P19(x2661,x2663)
% 0.80/0.96 [267]P19(x2673,x2672)+~E(x2671,x2672)+~P19(x2673,x2671)
% 0.80/0.96 [268]P13(x2682,x2683,x2684)+~E(x2681,x2682)+~P13(x2681,x2683,x2684)
% 0.80/0.96 [269]P13(x2693,x2692,x2694)+~E(x2691,x2692)+~P13(x2693,x2691,x2694)
% 0.80/0.96 [270]P13(x2703,x2704,x2702)+~E(x2701,x2702)+~P13(x2703,x2704,x2701)
% 0.80/0.96 [271]P15(x2712,x2713,x2714)+~E(x2711,x2712)+~P15(x2711,x2713,x2714)
% 0.80/0.96 [272]P15(x2723,x2722,x2724)+~E(x2721,x2722)+~P15(x2723,x2721,x2724)
% 0.80/0.96 [273]P15(x2733,x2734,x2732)+~E(x2731,x2732)+~P15(x2733,x2734,x2731)
% 0.80/0.96 [274]P16(x2742,x2743,x2744)+~E(x2741,x2742)+~P16(x2741,x2743,x2744)
% 0.80/0.96 [275]P16(x2753,x2752,x2754)+~E(x2751,x2752)+~P16(x2753,x2751,x2754)
% 0.80/0.96 [276]P16(x2763,x2764,x2762)+~E(x2761,x2762)+~P16(x2763,x2764,x2761)
% 0.80/0.96 [277]P11(x2772,x2773,x2774)+~E(x2771,x2772)+~P11(x2771,x2773,x2774)
% 0.80/0.96 [278]P11(x2783,x2782,x2784)+~E(x2781,x2782)+~P11(x2783,x2781,x2784)
% 0.80/0.96 [279]P11(x2793,x2794,x2792)+~E(x2791,x2792)+~P11(x2793,x2794,x2791)
% 0.80/0.96 [280]P8(x2802,x2803,x2804)+~E(x2801,x2802)+~P8(x2801,x2803,x2804)
% 0.80/0.96 [281]P8(x2813,x2812,x2814)+~E(x2811,x2812)+~P8(x2813,x2811,x2814)
% 0.80/0.96 [282]P8(x2823,x2824,x2822)+~E(x2821,x2822)+~P8(x2823,x2824,x2821)
% 0.80/0.96 [283]~P26(x2831)+P26(x2832)+~E(x2831,x2832)
% 0.80/0.96 [284]~P27(x2841)+P27(x2842)+~E(x2841,x2842)
% 0.80/0.96 [285]P14(x2852,x2853)+~E(x2851,x2852)+~P14(x2851,x2853)
% 0.80/0.96 [286]P14(x2863,x2862)+~E(x2861,x2862)+~P14(x2863,x2861)
% 0.80/0.96 [287]P10(x2872,x2873,x2874,x2875,x2876,x2877)+~E(x2871,x2872)+~P10(x2871,x2873,x2874,x2875,x2876,x2877)
% 0.80/0.96 [288]P10(x2883,x2882,x2884,x2885,x2886,x2887)+~E(x2881,x2882)+~P10(x2883,x2881,x2884,x2885,x2886,x2887)
% 0.80/0.96 [289]P10(x2893,x2894,x2892,x2895,x2896,x2897)+~E(x2891,x2892)+~P10(x2893,x2894,x2891,x2895,x2896,x2897)
% 0.80/0.96 [290]P10(x2903,x2904,x2905,x2902,x2906,x2907)+~E(x2901,x2902)+~P10(x2903,x2904,x2905,x2901,x2906,x2907)
% 0.80/0.96 [291]P10(x2913,x2914,x2915,x2916,x2912,x2917)+~E(x2911,x2912)+~P10(x2913,x2914,x2915,x2916,x2911,x2917)
% 0.80/0.96 [292]P10(x2923,x2924,x2925,x2926,x2927,x2922)+~E(x2921,x2922)+~P10(x2923,x2924,x2925,x2926,x2927,x2921)
% 0.80/0.96 [293]P9(x2932,x2933,x2934,x2935)+~E(x2931,x2932)+~P9(x2931,x2933,x2934,x2935)
% 0.80/0.96 [294]P9(x2943,x2942,x2944,x2945)+~E(x2941,x2942)+~P9(x2943,x2941,x2944,x2945)
% 0.80/0.96 [295]P9(x2953,x2954,x2952,x2955)+~E(x2951,x2952)+~P9(x2953,x2954,x2951,x2955)
% 0.80/0.96 [296]P9(x2963,x2964,x2965,x2962)+~E(x2961,x2962)+~P9(x2963,x2964,x2965,x2961)
% 0.80/0.96 [297]P20(x2972,x2973)+~E(x2971,x2972)+~P20(x2971,x2973)
% 0.80/0.96 [298]P20(x2983,x2982)+~E(x2981,x2982)+~P20(x2983,x2981)
% 0.80/0.96 [299]P12(x2992,x2993)+~E(x2991,x2992)+~P12(x2991,x2993)
% 0.80/0.96 [300]P12(x3003,x3002)+~E(x3001,x3002)+~P12(x3003,x3001)
% 0.80/0.96 [301]~P29(x3011)+P29(x3012)+~E(x3011,x3012)
% 0.80/0.96
% 0.80/0.96 %-------------------------------------------
% 0.80/0.96 cnf(972,plain,
% 0.80/0.96 ($false),
% 0.80/0.96 inference(scs_inference,[],[312,433,498,432,900]),
% 0.80/0.96 ['proof']).
% 0.80/0.96 % SZS output end Proof
% 0.80/0.96 % Total time :0.060000s
%------------------------------------------------------------------------------