%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SCT083-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n029.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 : Mon Jun 24 14:11:43 EDT 2024 % Result : Unsatisfiable 1.63s 1.75s % Output : CNFRefutation 1.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SCT083-1 : TPTP v8.2.0. Released v4.1.0. % 0.08/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.35 % Computer : n029.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sat Jun 22 09:32:38 EDT 2024 % 0.13/0.35 % CPUTime : % 0.54/0.59 start to proof:theBenchmark % 1.63/1.71 %------------------------------------------- % 1.63/1.71 % File :CSE---1.7 % 1.63/1.71 % Problem :theBenchmark % 1.63/1.71 % Transform :cnf % 1.63/1.71 % Format :tptp:raw % 1.63/1.71 % Command :java -jar mcs_scs.jar %d %s % 1.63/1.71 % 1.63/1.71 % Result :Theorem 0.770000s % 1.63/1.71 % Output :CNFRefutation 0.770000s % 1.63/1.71 %------------------------------------------- % 1.63/1.71 %------------------------------------------------------------------------------ % 1.63/1.71 % File : SCT083-1 : TPTP v8.2.0. Released v4.1.0. % 1.63/1.71 % Domain : Social Choice Theory % 1.63/1.71 % Problem : Arrow Order 273_5 % 1.63/1.71 % Version : Especial. % 1.63/1.71 % English : Formalization of two proofs of Arrow's impossibility theorem. One % 1.63/1.71 % formalization is based on utility functions, the other one on % 1.63/1.71 % strict partial orders. % 1.63/1.71 % 1.63/1.71 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and % 1.63/1.71 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.63/1.71 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.63/1.71 % Source : [Nip10] % 1.63/1.71 % Names : Arrow_Order-273_51 [Nip10] % 1.63/1.71 % 1.63/1.71 % Status : Unsatisfiable % 1.63/1.71 % Rating : 0.25 v8.2.0, 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.18 v7.3.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.50 v5.5.0, 0.75 v5.3.0, 0.78 v5.2.0, 0.69 v5.1.0, 0.71 v4.1.0 % 1.63/1.71 % Syntax : Number of clauses : 752 ( 175 unt; 135 nHn; 392 RR) % 1.63/1.71 % Number of literals : 1925 ( 495 equ; 970 neg) % 1.63/1.71 % Maximal clause size : 10 ( 2 avg) % 1.63/1.71 % Maximal term depth : 9 ( 2 avg) % 1.63/1.71 % Number of predicates : 25 ( 24 usr; 0 prp; 1-9 aty) % 1.63/1.71 % Number of functors : 85 ( 85 usr; 9 con; 0-6 aty) % 1.63/1.71 % Number of variables : 2943 ( 344 sgn) % 1.63/1.71 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.63/1.71 % 1.63/1.71 % Comments : % 1.63/1.71 %------------------------------------------------------------------------------ % 1.63/1.71 cnf(cls_le__supI1_0,axiom, % 1.63/1.71 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_le__supE_1,axiom, % 1.63/1.71 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_le__supE_0,axiom, % 1.63/1.71 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_Un__subset__iff_0,axiom, % 1.63/1.71 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_Un__subset__iff_1,axiom, % 1.63/1.71 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_xt1_I6_J_0,axiom, % 1.63/1.71 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_xt1_I7_J_0,axiom, % 1.63/1.71 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_y)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_xt1_I8_J_0,axiom, % 1.63/1.71 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_order__trans_0,axiom, % 1.63/1.71 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_equalityE_0,axiom, % 1.63/1.71 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_x),V_x)) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_subset__refl_0,axiom, % 1.63/1.71 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_A)) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_subset__trans_0,axiom, % 1.63/1.71 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_subset__inj__on_0,axiom, % 1.63/1.71 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.71 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_predicate1D_0,axiom, % 1.63/1.71 ( hBOOL(hAPP(V_Q,V_x)) % 1.63/1.71 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_le__supI2_0,axiom, % 1.63/1.71 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_le__sup__iff_0,axiom, % 1.63/1.71 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_le__sup__iff_1,axiom, % 1.63/1.71 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.71 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 1.63/1.71 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) ) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_image__image_0,axiom, % 1.63/1.71 c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ). % 1.63/1.71 % 1.63/1.71 cnf(cls_Un__Int__distrib2_0,axiom, % 1.63/1.71 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__Int__distrib_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__inf__distrib1_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__inf__distrib2_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_top__greatest_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Otop(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_subset__UNIV_0,axiom, % 1.63/1.72 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Int__subset__iff_2,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Int__greatest_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Int__lower2_0,axiom, % 1.63/1.72 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_B)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Int__lower1_0,axiom, % 1.63/1.72 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_A)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__le1_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__le2_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_le__infI_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_le__inf__iff_2,axiom, % 1.63/1.72 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__greatest_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__mono_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_subset__empty_1,axiom, % 1.63/1.72 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_subset__empty_0,axiom, % 1.63/1.72 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_fun__upd__idem__iff_1,axiom, % 1.63/1.72 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ). % 1.63/1.72 % 1.63/1.72 cnf(cls_fun__upd__apply_0,axiom, % 1.63/1.72 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ). % 1.63/1.72 % 1.63/1.72 cnf(cls_fun__upd__triv_0,axiom, % 1.63/1.72 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ). % 1.63/1.72 % 1.63/1.72 cnf(cls_fun__upd__same_0,axiom, % 1.63/1.72 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ). % 1.63/1.72 % 1.63/1.72 cnf(cls_fun__upd__idem_0,axiom, % 1.63/1.72 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ). % 1.63/1.72 % 1.63/1.72 cnf(cls_psubset__insert__iff_7,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_subset__Un__eq_1,axiom, % 1.63/1.72 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__absorb2_0,axiom, % 1.63/1.72 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__absorb1_0,axiom, % 1.63/1.72 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_le__iff__sup_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_le__iff__sup_1,axiom, % 1.63/1.72 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__absorb1_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__less__imp__le_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__le__less_1,axiom, % 1.63/1.72 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_less__fun__def_0,axiom, % 1.63/1.72 ( ~ class_HOL_Oord(T_b) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_psubset__eq_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_less__infI1_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_less__infI2_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__sup__absorb_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_linorder__antisym__conv3_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.72 | V_x = V_y % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_linorder__less__linear_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.63/1.72 | V_x = V_y % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__antisym__conv_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.72 | V_x = V_y % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__antisym_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.72 | V_x = V_y % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_linorder__neqE_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.72 | V_x = V_y ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__eq__iff_2,axiom, % 1.63/1.72 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.72 | V_x = V_y % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_set__eq__subset_2,axiom, % 1.63/1.72 ( V_A = V_B % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_equalityI_0,axiom, % 1.63/1.72 ( V_A = V_B % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.72 | V_x = V_y % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 1.63/1.72 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.72 | V_x = V_y ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__inf__absorb_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__less__irrefl_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_linorder__neq__iff_1,axiom, % 1.63/1.72 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__less__le_1,axiom, % 1.63/1.72 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_less__fun__def_2,axiom, % 1.63/1.72 ( ~ class_HOL_Oord(T_b) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_psubset__eq_1,axiom, % 1.63/1.72 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_x),V_x)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_less__le__not__le_2,axiom, % 1.63/1.72 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_distrib__sup__le_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)))) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Diff__mono_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_D),V_B)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_fun__upd__upd_0,axiom, % 1.63/1.72 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inj__on__inv__into_0,axiom, % 1.63/1.72 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_psubset__insert__iff_3,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_psubset__insert__iff_2,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__empty__right_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__empty__left_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__bot__left_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__bot__right_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup1CI_1,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup1CI_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup1E_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(V_B,V_x)) % 1.63/1.72 | hBOOL(hAPP(V_A,V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_not__psubset__empty_0,axiom, % 1.63/1.72 ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_fun__upd__twist_0,axiom, % 1.63/1.72 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b) % 1.63/1.72 | V_a = V_c ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__Int__assoc__eq_1,axiom, % 1.63/1.72 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__Int__assoc__eq_0,axiom, % 1.63/1.72 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Image__Int__subset_0,axiom, % 1.63/1.72 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)))) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_empty__fold__graphE_0,axiom, % 1.63/1.72 ( V_x = V_z % 1.63/1.72 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x,T_a,T_b) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_subset__insertI_0,axiom, % 1.63/1.72 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),c_Set_Oinsert(V_a,V_B,T_a))) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Image__empty_0,axiom, % 1.63/1.72 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)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__UNIV__right_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__UNIV__left_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__top__left_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__top__right_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_bot__least_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Obot(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_empty__subsetI_0,axiom, % 1.63/1.72 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_A)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__insert__right_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__insert__left_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_subset__insertI2_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_b,V_B,T_a))) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_insert__subset_1,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Int__Un__distrib2_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Int__Un__distrib_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__sup__distrib1_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inf__sup__distrib2_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_inv__into__image__cancel_0,axiom, % 1.63/1.72 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_S),V_A)) % 1.63/1.72 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_Un__absorb_0,axiom, % 1.63/1.72 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 1.63/1.72 % 1.63/1.72 cnf(cls_sup__idem_0,axiom, % 1.63/1.72 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.72 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__less__trans_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_psubset__trans_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__eq__iff_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__eq__refl_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_psubset__subset__trans_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_subset__psubset__trans_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_C)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_rev__predicate1D_0,axiom, % 1.63/1.72 ( hBOOL(hAPP(V_Q,V_x)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_P),V_Q)) % 1.63/1.72 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__le__less__trans_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.72 cnf(cls_order__less__le__trans_0,axiom, % 1.63/1.72 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.72 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 1.63/1.72 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.72 % 1.63/1.73 cnf(cls_Int__mono_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_D)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_lfp__lowerbound_0,axiom, % 1.63/1.73 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),c_Inductive_Ocomplete__lattice__class_Olfp(V_f,T_a)),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(V_f,V_A)),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__Un_0,axiom, % 1.63/1.73 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inj__transfer_1,axiom, % 1.63/1.73 ( hBOOL(hAPP(V_P,V_x)) % 1.63/1.73 | ~ hBOOL(hAPP(V_P,hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b)))) % 1.63/1.73 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_fun__upd__apply_1,axiom, % 1.63/1.73 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z) % 1.63/1.73 | V_z = V_x ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_fun__upd__other_0,axiom, % 1.63/1.73 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z) % 1.63/1.73 | V_z = V_x ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_double__diff_0,axiom, % 1.63/1.73 ( 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 % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_le__eqI_0,axiom, % 1.63/1.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.63/1.73 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_le__eqI_1,axiom, % 1.63/1.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.63/1.73 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y_H),V_x_H)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_less__eqI_0,axiom, % 1.63/1.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.63/1.73 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_less__eqI_1,axiom, % 1.63/1.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.63/1.73 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x_H),V_y_H)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_image__mono_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__image__iff_2,axiom, % 1.63/1.73 ( ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_x),V_A)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_x,T_b,T_a)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_insert__mono_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_C,T_a)),c_Set_Oinsert(V_a,V_D,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_D)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Un__empty_2,axiom, % 1.63/1.73 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_xt1_I11_J_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.63/1.73 | V_a = V_b % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_xt1_I12_J_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_a)) % 1.63/1.73 | V_a = V_b ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_psubset__eq_2,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | V_A = V_B % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_order__le__less_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | V_x = V_y % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_order__less__le_2,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.73 | V_x = V_y % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__iff__psubset__eq_0,axiom, % 1.63/1.73 ( V_A = V_B % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_order__le__neq__trans_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.63/1.73 | V_a = V_b % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_order__neq__le__trans_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_b)) % 1.63/1.73 | V_a = V_b ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__antisym__conv1_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | V_x = V_y % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__antisym__conv2_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | V_x = V_y % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_image__Un_0,axiom, % 1.63/1.73 c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_xt1_I9_J_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__linear_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_order__less__asym_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_order__less__asym_H_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_b),V_a)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_a),V_b)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_equiv__class__self_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_in(T_a),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))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_psubset__insert__iff_9,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),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)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__equiv__class_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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))) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_fold__graph_OinsertI_0,axiom, % 1.63/1.73 ( c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 1.63/1.73 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,V_A,V_y,T_a,T_b) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__insert_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__insert_1,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__insert__iff_1,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__insert__iff_2,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_insert__subset_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_psubset__insert__iff_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_psubset__insert__iff_6,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_insert__subset_2,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_x,V_A,T_a)),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inv__into__into_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x)),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inv__into__injective_0,axiom, % 1.63/1.73 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y) % 1.63/1.73 | V_x = V_y % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),c_Set_Oimage(V_f,V_A,T_a,T_b))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_image__subset__iff_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_f__inv__into__f_0,axiom, % 1.63/1.73 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_fun__upd__image_1,axiom, % 1.63/1.73 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_equiv__class__eq_0,axiom, % 1.63/1.73 ( 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) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_equiv__class__eq__iff_0,axiom, % 1.63/1.73 ( 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) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_le__SUPI_0,axiom, % 1.63/1.73 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_M,V_i)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__upper_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__subset__iff_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(V_A,V_x)),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_I)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool))),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__absorb_0,axiom, % 1.63/1.73 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_k),V_I)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_pred__subset__eq_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_R),V_S)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_pred__subset__eq_1,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R)),hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_R),V_S)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inv__into__f__f_0,axiom, % 1.63/1.73 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inv__into__f__eq_0,axiom, % 1.63/1.73 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) % 1.63/1.73 | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a) % 1.63/1.73 | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Sup__upper_0,axiom, % 1.63/1.73 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_psubset__insert__iff_5,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),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)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_insert__is__Un_0,axiom, % 1.63/1.73 c_Set_Oinsert(V_a,V_A,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__singletonD_0,axiom, % 1.63/1.73 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 1.63/1.73 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 1.63/1.73 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 1.63/1.73 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__insert_0,axiom, % 1.63/1.73 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_image__Int__subset_0,axiom, % 1.63/1.73 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)))) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_range__composition_0,axiom, % 1.63/1.73 c_Set_Oimage(c_COMBB(V_f,V_g,T_c,T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_c),T_c,T_a) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__extend__simps_I10_J_0,axiom, % 1.63/1.73 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_b,T_c),V_B,T_c,tc_fun(T_a,tc_bool)) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_UN__simps_I10_J_0,axiom, % 1.63/1.73 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oimage(V_f,V_A,T_c,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBB(V_B,V_f,T_b,tc_fun(T_a,tc_bool),T_c),T_c,tc_fun(T_a,tc_bool)) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Sup__insert_0,axiom, % 1.63/1.73 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.73 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inj__on__Un__image__eq__iff_0,axiom, % 1.63/1.73 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 1.63/1.73 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) % 1.63/1.73 | V_A = V_B ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Union__upper_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),V_A))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_image__diff__subset_0,axiom, % 1.63/1.73 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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))) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Un__Diff__Int_0,axiom, % 1.63/1.73 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Diff__Un_0,axiom, % 1.63/1.73 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),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))) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Diff__Int_0,axiom, % 1.63/1.73 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),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))) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inv__f__f_0,axiom, % 1.63/1.73 ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 1.63/1.73 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_inv__f__eq_0,axiom, % 1.63/1.73 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.63/1.73 | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Inf__lower_0,axiom, % 1.63/1.73 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)),V_x)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_image__vimage__subset_0,axiom, % 1.63/1.73 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a)),V_A)) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_PowD_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_PowI_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Union__quotient_0,axiom, % 1.63/1.73 ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),c_Equiv__Relations_Oquotient(V_A,V_r,T_a)) = V_A % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Inter__lower_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_bool)),V_A)),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_eq__equiv__class__iff_0,axiom, % 1.63/1.73 ( 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) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_eq__equiv__class__iff_1,axiom, % 1.63/1.73 ( 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) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_equiv__class__eq__iff_3,axiom, % 1.63/1.73 ( 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) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_eq__equiv__class_0,axiom, % 1.63/1.73 ( 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) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),V_A)) % 1.63/1.73 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_dual__complete__lattice_0,axiom, % 1.63/1.73 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.73 | c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(T_a),c_Complete__Lattice_OInf__class_OInf(T_a),c_COMBC(c_lessequals(T_a),T_a,T_a,tc_bool),c_COMBC(c_HOL_Oord__class_Oless(T_a),T_a,T_a,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a),c_Orderings_Obot__class_Obot(T_a),T_a) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__insert__iff_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_subset__insert__iff_3,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_diff__single__insert_0,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_psubset__insert__iff_1,axiom, % 1.63/1.73 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),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)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_xt1_I10_J_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Oorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_x)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_z),V_y)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_Image__Un_0,axiom, % 1.63/1.73 c_Relation_OImage(V_R,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Relation_OImage(V_R,V_A,T_b,T_a)),c_Relation_OImage(V_R,V_B,T_b,T_a)) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_COMBB__def_0,axiom, % 1.63/1.73 hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_not__leE_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__antisym__conv2_1,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__antisym__conv1_1,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_x)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__not__less_1,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__not__less_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__not__le_1,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 1.63/1.73 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_linorder__not__le_0,axiom, % 1.63/1.73 ( ~ class_Orderings_Olinorder(T_a) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_y),V_x)) % 1.63/1.73 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.73 % 1.63/1.73 cnf(cls_less__fun__def_1,axiom, % 1.63/1.74 ( ~ class_HOL_Oord(T_b) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_g),V_f)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,T_b)),V_f),V_g)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_less__le__not__le_1,axiom, % 1.63/1.74 ( ~ class_Orderings_Opreorder(T_a) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_y)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__left__commute_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__assoc_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__assoc_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__left__commute_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__absorb2_0,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__absorb1_0,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__iff__inf_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__iff__inf_1,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__absorb2_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__subset__iff_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__upper2_0,axiom, % 1.63/1.74 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__upper1_0,axiom, % 1.63/1.74 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__least_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__supI_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__ge1_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__ge2_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__least_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_z),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__sup__iff_2,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),V_z)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__partition_0,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = V_B % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_equiv__class__subset_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_distrib__inf__le_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__subset_0,axiom, % 1.63/1.74 hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_A)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__Int__crazy_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_fold__graph_OemptyI_0,axiom, % 1.63/1.74 c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_z,T_a,T_b) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__mono_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Ovimage(V_f,V_A,T_b,T_a)),c_Set_Ovimage(V_f,V_B,T_b,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__empty_1,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__empty_0,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__eq__bot__eq1_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 1.63/1.74 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__eq__bot__eq2_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 1.63/1.74 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__Diff__cancel2_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__Diff__cancel_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_bij__betw__inv__into_0,axiom, % 1.63/1.74 ( c_Fun_Obij__betw(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_B,V_A,T_b,T_a) % 1.63/1.74 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__subset__iff_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__subset__iff_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__infE_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_a)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__infE_1,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_b)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__infI1_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_a),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__infI2_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_b),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__inf__iff_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_y)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__inf__iff_1,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),V_z)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__Diff_0,axiom, % 1.63/1.74 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),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))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__commute_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__commute_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Un__left__absorb_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_sup__left__idem_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__Un_0,axiom, % 1.63/1.74 c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_fun__upd__idem__iff_0,axiom, % 1.63/1.74 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f % 1.63/1.74 | hAPP(V_f,V_x) = V_y ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__Un_1,axiom, % 1.63/1.74 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__Un_0,axiom, % 1.63/1.74 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__subset__conv_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__subset__conv_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_less__supI1_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_a)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_less__supI2_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(T_a),V_x),V_b)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_le__funD_0,axiom, % 1.63/1.74 ( ~ class_HOL_Oord(T_b) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_lessequals(T_b),hAPP(V_f,V_x)),hAPP(V_g,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,T_b)),V_f),V_g)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_subset__iff_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_t),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_set__rev__mp_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_subsetD_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_set__mp_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_UnCI_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_UnCI_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_UnE_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_psubsetD_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_compose__def_0,axiom, % 1.63/1.74 c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_c,T_b) = c_FuncSet_Orestrict(c_COMBB(V_g,V_f,T_c,T_b,T_a),V_A,T_a,T_b) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_bex__Un_6,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.74 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_bex__Un_4,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.74 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_rev__ImageI_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Relation_OImage(V_r,V_A,T_a,T_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Image__iff_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Relation_OImage(V_r,V_A,T_b,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_x,V_b,T_b,T_a)),V_r)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_equiv__class__eq__iff_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_equiv__class__eq__iff_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_equiv__class__nondisjoint_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_a,V_b,T_a,T_a)),V_r)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),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)))) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__fun__updI_0,axiom, % 1.63/1.74 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_b),V_y),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__def_0,axiom, % 1.63/1.74 c_Set_Oinsert(V_a,V_B,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a)),V_B) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Sup__binary_0,axiom, % 1.63/1.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.74 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),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)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_subset__insert__iff_4,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),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)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Union__disjoint_2,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(V_A,V_C,T_a)),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),V_C)),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__image__Int_0,axiom, % 1.63/1.74 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__image__subset__iff_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__image__subset__iff_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inv__image__comp_0,axiom, % 1.63/1.74 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_image__inv__f__f_0,axiom, % 1.63/1.74 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__image__set__diff_0,axiom, % 1.63/1.74 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_B),V_C)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),V_A),V_C)) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__insert_0,axiom, % 1.63/1.74 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_psubset__insert__iff_4,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),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)) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_psubset__insert__iff_8,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_x,V_B,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),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)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_fun(T_a,tc_bool)),V_A),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_setsum__diff1__nat_1,axiom, % 1.63/1.74 ( c_Finite__Set_Osetsum(V_f,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,tc_nat) = c_Finite__Set_Osetsum(V_f,V_A,T_a,tc_nat) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff1__fold__graph_0,axiom, % 1.63/1.74 ( c_Finite__Set_Ofold__graph(V_f,V_z,V_A,hAPP(hAPP(V_f,V_x),V_y),T_a,T_b) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ c_Finite__Set_Ofold__graph(V_f,V_z,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_y,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_range__ex1__eq_2,axiom, % 1.63/1.74 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))) % 1.63/1.74 | hAPP(V_f,V_x) = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__transfer_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(V_P,V_x)) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_b),c_ATP__Linkup_Osko__Hilbert__Choice__Xinj__transfer__1__1(V_P,V_f,T_a,T_b)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_range__ex1__eq_3,axiom, % 1.63/1.74 ( c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__2(hAPP(V_f,V_x),V_f,V_x,T_a,T_aa) != V_x % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_range__ex1__eq_0,axiom, % 1.63/1.74 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(V_b,V_f,T_b,T_a)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_range__ex1__eq_1,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_y)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 1.63/1.74 | V_y = c_ATP__Linkup_Osko__Fun__Xrange__ex1__eq__1__1(hAPP(V_f,V_y),V_f,T_a,T_aa) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Union__disjoint_1,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),V_C)),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnion__disjoint__1__1(V_A,V_C,T_a)),V_C)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__def_0,axiom, % 1.63/1.74 c_Set_Ovimage(V_f,V_B,T_a,T_b) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(T_b),V_f,T_b,tc_fun(tc_fun(T_b,tc_bool),tc_bool),T_a),T_a,tc_fun(T_b,tc_bool),tc_bool),V_B),T_a) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_quotient__disj_0,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_X),V_Y) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | V_X = V_Y % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__subsetI_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_B,T_a,T_b)),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),V_B),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_funcset__image_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_lessequals(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),V_B)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_restrictI_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_restrictI_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XrestrictI__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_compose__id__inv__into_0,axiom, % 1.63/1.74 c_FuncSet_Ocompose(c_Set_Oimage(V_f,V_A,T_b,T_a),V_f,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_b),T_a,T_b,T_a) = c_FuncSet_Orestrict(c_COMBI(T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_a) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_compose__inv__into__id_0,axiom, % 1.63/1.74 ( c_FuncSet_Ocompose(V_A,c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_B,T_b,T_a),V_f,T_a,T_b,T_a) = c_FuncSet_Orestrict(c_COMBI(T_a),V_A,T_a,T_a) % 1.63/1.74 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Image__singleton__iff_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),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))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Image__singleton__iff_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),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))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_a,V_b,T_b,T_a)),V_r)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_fun__upd__image_0,axiom, % 1.63/1.74 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_quotient__eq__iff_0,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_xa,V_y,T_a,T_a)),V_r)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_quotient__eqI_0,axiom, % 1.63/1.74 ( V_X = V_Y % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_Y)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_X)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_Y),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_quotientI_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),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_Equiv__Relations_Oquotient(V_A,V_r,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__Un_2,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__Un_3,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.74 | c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inv__into__funcset_0,axiom, % 1.63/1.74 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_b)),c_FuncSet_OPi(c_Set_Oimage(V_f,V_A,T_b,T_a),c_COMBK(V_A,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_2_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_b = V_a_H % 1.63/1.74 | V_a = V_b_H % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_2_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_b = V_a_H % 1.63/1.74 | V_a = V_b_H % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_2_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_b = V_a_H % 1.63/1.74 | V_a = V_b_H % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_2_3,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X2__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_b = V_a_H % 1.63/1.74 | V_a = V_b_H % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_pairwise__neutrality_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_pairwise__neutrality_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_pairwise__neutrality_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_pairwise__neutrality_3,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a_H,V_b_H,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__Xpairwise__neutrality__1(V_P,V_P_H,V_a,V_a_H,V_b,V_b_H)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a_H = V_b_H % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_3_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_3_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_3_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_3_3,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X3__1(V_P,V_P_H,V_a,V_b)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_4_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_c % 1.63/1.74 | V_b = V_c % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_4_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_c % 1.63/1.74 | V_b = V_c % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_4_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_c % 1.63/1.74 | V_b = V_c % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_4_3,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(v_F,V_P_H))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_c,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P_H,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_P,v_sko__local__X4__1(V_P,V_P_H,V_a,V_b,V_c)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P_H),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_P),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | V_a = V_c % 1.63/1.74 | V_b = V_c % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_IIA__def_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_IIA__def_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_IIA__def_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_IIA__def_3,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_xa))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_xa,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__XIIA__def__1(V_a,V_b,V_x,V_xa)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_xa),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ c_Arrow__Order__Mirabelle_OIIA(V_F) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_unanimity__def_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_F,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(V_x,v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1(V_a,V_b,V_x)))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),V_x),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.74 | ~ c_Arrow__Order__Mirabelle_Ounanimity(V_F) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_eq__equiv__class__iff2_0,axiom, % 1.63/1.74 ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) != c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_eq__equiv__class__iff2_1,axiom, % 1.63/1.74 ( c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) = c_Equiv__Relations_Oquotient(c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_r,T_a) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_a)),c_Pair(V_x,V_y,T_a,T_a)),V_r)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_quotientE_0,axiom, % 1.63/1.74 ( V_X = c_Relation_OImage(V_r,c_Set_Oinsert(c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__commute_0,axiom, % 1.63/1.74 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) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__mkbot_3,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_x = V_z % 1.63/1.74 | V_y = V_z ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__mkbot_5,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_x = V_y % 1.63/1.74 | V_y = V_z ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_SigmaD1_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_SigmaD2_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_UnionE_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),V_C))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_bij__betw__restrict__eq_0,axiom, % 1.63/1.74 ( c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) % 1.63/1.74 | ~ c_Fun_Obij__betw(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,V_B,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_bij__betw__restrict__eq_1,axiom, % 1.63/1.74 ( c_Fun_Obij__betw(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,V_B,T_a,T_b) % 1.63/1.74 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__insert_2,axiom, % 1.63/1.74 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,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,T_b))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Id__compose_0,axiom, % 1.63/1.74 ( c_FuncSet_Ocompose(V_A,c_FuncSet_Orestrict(c_COMBI(T_b),V_B,T_b,T_b),V_f,T_a,T_b,T_b) = V_f % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_compose__Id_0,axiom, % 1.63/1.74 ( c_FuncSet_Ocompose(V_A,V_g,c_FuncSet_Orestrict(c_COMBI(T_a),V_A,T_a,T_a),T_a,T_a,T_b) = V_g % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__Collect_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(V_P,V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__triv_0,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_singletonE_0,axiom, % 1.63/1.74 ( V_b = V_a % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_InterI_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_bool)),V_C))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_image__constant_0,axiom, % 1.63/1.74 ( 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) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__insert_0,axiom, % 1.63/1.74 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__Diff1_0,axiom, % 1.63/1.74 ( 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)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_image__ident_0,axiom, % 1.63/1.74 c_Set_Oimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 1.63/1.74 % 1.63/1.74 cnf(cls_complete__lattice_OSup__UNIV_0,axiom, % 1.63/1.74 ( hAPP(V_Sup,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_top % 1.63/1.74 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_complete__lattice_OInf__UNIV_0,axiom, % 1.63/1.74 ( hAPP(V_Inf,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_bot % 1.63/1.74 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__mkbot_0,axiom, % 1.63/1.74 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__mkbot_1,axiom, % 1.63/1.74 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__diff_0,axiom, % 1.63/1.74 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_empty__is__image_0,axiom, % 1.63/1.74 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 1.63/1.74 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Inf__insert_0,axiom, % 1.63/1.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.74 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__Diff_0,axiom, % 1.63/1.74 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__vimage__image__eq_0,axiom, % 1.63/1.74 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Collect__def_0,axiom, % 1.63/1.74 c_Collect(V_P,T_a) = V_P ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__UNIV_0,axiom, % 1.63/1.74 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__insert_0,axiom, % 1.63/1.74 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)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__insert2_0,axiom, % 1.63/1.74 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)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__not__empty_0,axiom, % 1.63/1.74 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__id2_0,axiom, % 1.63/1.74 c_Fun_Oinj__on(c_COMBI(T_a),V_A,T_a,T_a) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__singleton__eq_1,axiom, % 1.63/1.74 hBOOL(hAPP(hAPP(c_in(T_aa),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__inter__insert_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__absorb2_0,axiom, % 1.63/1.74 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) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__code_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(V_A,V_x)) % 1.63/1.74 | V_y = V_x % 1.63/1.74 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 1.63/1.74 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__bot__right_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__bot__left_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__empty__left_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__empty__right_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_image__Int_0,axiom, % 1.63/1.74 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 1.63/1.74 ( hAPP(V_Sup,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)) = hAPP(hAPP(V_sup,V_a),V_b) % 1.63/1.74 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 1.63/1.74 ( hAPP(V_Inf,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)) = hAPP(hAPP(V_inf,V_a),V_b) % 1.63/1.74 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Sup__empty_0,axiom, % 1.63/1.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.74 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__empty_0,axiom, % 1.63/1.74 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 ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__cancel_0,axiom, % 1.63/1.74 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)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_INT__extend__simps_I4_J_0,axiom, % 1.63/1.74 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 1.63/1.74 % 1.63/1.74 cnf(cls_COMBC__def_0,axiom, % 1.63/1.74 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_COMBI__def_0,axiom, % 1.63/1.74 hAPP(c_COMBI(T_a),V_P) = V_P ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__idemp_0,axiom, % 1.63/1.74 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)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_rangeI_0,axiom, % 1.63/1.74 hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a))) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_doubleton__eq__iff_4,axiom, % 1.63/1.74 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) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_eq__eqI_1,axiom, % 1.63/1.74 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.63/1.74 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 1.63/1.74 | V_xa = V_y ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_eq__eqI_0,axiom, % 1.63/1.74 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.63/1.74 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.63/1.74 | V_x_H = V_y_H ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_image__empty_0,axiom, % 1.63/1.74 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)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__empty_0,axiom, % 1.63/1.74 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__commute_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__commute_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 1.63/1.74 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_complete__lattice_Odual__complete__lattice_0,axiom, % 1.63/1.74 ( c_Complete__Lattice_Ocomplete__lattice(V_Sup,V_Inf,c_COMBC(V_less__eq,T_a,T_a,tc_bool),c_COMBC(V_less,T_a,T_a,tc_bool),V_sup,V_inf,V_top,V_bot,T_a) % 1.63/1.74 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__Diff__single_0,axiom, % 1.63/1.74 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) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_singleton__inject_0,axiom, % 1.63/1.74 ( 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) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__mktop_4,axiom, % 1.63/1.74 ( V_xa = V_x % 1.63/1.74 | V_xa = V_x % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_image__constant__conv_0,axiom, % 1.63/1.74 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)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 1.63/1.74 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_xa)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_image__set__diff_0,axiom, % 1.63/1.74 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_UN__constant_1,axiom, % 1.63/1.74 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = V_c % 1.63/1.74 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_SUP__const_0,axiom, % 1.63/1.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 1.63/1.74 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M % 1.63/1.74 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__code_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__image_0,axiom, % 1.63/1.74 ( 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) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__insert__right_1,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__insert__left_1,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_UN__constant_0,axiom, % 1.63/1.74 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),c_COMBK(V_c,tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__mkbot_2,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_x = V_z % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_empty__is__image_1,axiom, % 1.63/1.74 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) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__disjoint_0,axiom, % 1.63/1.74 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Inf__singleton_0,axiom, % 1.63/1.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.74 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Int__Collect_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_complete__Lin_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b))) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inj__on__insert_1,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,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,T_b))) % 1.63/1.74 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Union__disjoint_0,axiom, % 1.63/1.74 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),V_C)),V_A) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_x),V_A) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_x),V_C)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_insert__Diff__if_1,axiom, % 1.63/1.74 ( 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) % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf1E_1,axiom, % 1.63/1.74 ( hBOOL(hAPP(V_B,V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_inf1E_0,axiom, % 1.63/1.74 ( hBOOL(hAPP(V_A,V_x)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Sup__UNIV_0,axiom, % 1.63/1.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.74 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Diff__insert__absorb_0,axiom, % 1.63/1.74 ( 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 % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_bij__betw__def_0,axiom, % 1.63/1.74 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.74 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_vimage__Int_0,axiom, % 1.63/1.74 c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_Inf__binary_0,axiom, % 1.63/1.74 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.74 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),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)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__above_0,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__above_7,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_xa = V_x % 1.63/1.74 | V_xa = V_x % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_x % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__above_6,axiom, % 1.63/1.74 ( V_x = V_b % 1.63/1.74 | V_x = V_y % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_x = V_b % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__above_3,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_y = V_b % 1.63/1.74 | V_x = V_b % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__above_2,axiom, % 1.63/1.74 ( V_xa = V_x % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_x % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_xa = V_a ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__above_1,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_x % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__below_13,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_x = V_y % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_x = V_b % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__below_12,axiom, % 1.63/1.74 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_xa = V_x % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_x % 1.63/1.74 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__below_10,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_x = V_a % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_x = V_y % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__below_8,axiom, % 1.63/1.74 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.74 | V_y = V_a % 1.63/1.74 | V_x = V_y % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_a = V_b ) ). % 1.63/1.74 % 1.63/1.74 cnf(cls_in__below_5,axiom, % 1.63/1.74 ( V_xa = V_x % 1.63/1.74 | V_x = V_xa % 1.63/1.74 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.74 | V_x = V_xa % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_14,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_11,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_xa = V_x % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_xa = V_x % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_9,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_x % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_4,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_y = V_b % 1.63/1.75 | V_x = V_b % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_0,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_7,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_y = V_x % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_b % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_6,axiom, % 1.63/1.75 ( V_x = V_a % 1.63/1.75 | V_xa = V_x % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_x % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_x))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_3,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_a % 1.63/1.75 | V_y = V_a % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_2,axiom, % 1.63/1.75 ( V_y = V_x % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_b % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_y = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_1,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_b % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_13,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_xa = V_x % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_x % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_x))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_12,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_b % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_10,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_y = V_b % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_8,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_b % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__above_5,axiom, % 1.63/1.75 ( V_xa = V_x % 1.63/1.75 | V_xa = V_x % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_xa = V_x % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_xa,V_x))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_14,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_11,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_xa % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_xa % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_xa))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_9,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_xa = V_x % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_b % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__below_4,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_a,V_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_a % 1.63/1.75 | V_y = V_a % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexCI_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_IntI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatLeastLessThan__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insert__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insertCI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_B,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_B)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_restrict__apply_0,axiom, % 1.63/1.75 ( hAPP(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_x) = hAPP(V_f,V_x) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatLeastAtMost__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexCI_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ex__in__conv_0,axiom, % 1.63/1.75 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ball__empty_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_empty__iff_0,axiom, % 1.63/1.75 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_emptyE_0,axiom, % 1.63/1.75 ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OgreaterThanLessThan__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less,V_l),V_i)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insertE_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.75 | V_a = V_b % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_b,V_A,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_compose__eq_0,axiom, % 1.63/1.75 ( hAPP(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_c,T_b),V_x) = hAPP(V_g,hAPP(V_f,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UNIV__I_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_DiffE_1,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_DiffE_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexCI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexI_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexE_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insert__iff_1,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_A,T_a))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insertI1_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Oinsert(V_a,V_B,T_a))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insertCI_1,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,V_B,T_a))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ball__conj__distrib_3,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_Q,V_xf)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xf),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ball__conj__distrib_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,V_xg)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xg),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_Q,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__image__mem__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__image__mem__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_injD_0,axiom, % 1.63/1.75 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 1.63/1.75 | V_x = V_y ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__mkbot_4,axiom, % 1.63/1.75 ( V_x = V_y % 1.63/1.75 | V_y = V_x % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__ident_0,axiom, % 1.63/1.75 c_Set_Ovimage(c_COMBI(T_a),V_Y,T_a,T_a) = V_Y ). % 1.63/1.75 % 1.63/1.75 cnf(cls_converse__converse_0,axiom, % 1.63/1.75 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__left__commute_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__assoc_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__assoc_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__left__commute_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_restrict__apply_1,axiom, % 1.63/1.75 ( hAPP(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_x) = c_HOL_Oundefined(T_a) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 1.63/1.75 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) % 1.63/1.75 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_empty__Diff_0,axiom, % 1.63/1.75 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)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bij__betw__def_2,axiom, % 1.63/1.75 ( ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.75 | c_Fun_Obij__betw(V_f,V_A,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__image__eq__iff_0,axiom, % 1.63/1.75 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 1.63/1.75 | V_A = V_B ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__eq__top__eq2_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 1.63/1.75 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__eq__top__eq1_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 1.63/1.75 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bot1E_0,axiom, % 1.63/1.75 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Diff__Int__distrib_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Diff__Int__distrib2_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_image__constant__conv_1,axiom, % 1.63/1.75 ( 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) % 1.63/1.75 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UNIV__not__empty_0,axiom, % 1.63/1.75 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_disjoint__iff__not__equal_0,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__top__right_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__top__left_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__UNIV__left_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__UNIV__right_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A ). % 1.63/1.75 % 1.63/1.75 cnf(cls_image__vimage__eq_0,axiom, % 1.63/1.75 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_image__restrict__eq_0,axiom, % 1.63/1.75 c_Set_Oimage(c_FuncSet_Orestrict(V_f,V_A,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bij__betw__compose_0,axiom, % 1.63/1.75 ( c_Fun_Obij__betw(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),V_A,V_C,T_a,T_c) % 1.63/1.75 | ~ c_Fun_Obij__betw(V_g,V_B,V_C,T_b,T_c) % 1.63/1.75 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pow__bottom_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Set_OPow(V_B,T_a))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Diff__Int2_0,axiom, % 1.63/1.75 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Inf__UNIV_0,axiom, % 1.63/1.75 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.75 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_restrict__extensional_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_Oextensional(V_A,T_a,T_b))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_extensionalityI_1,axiom, % 1.63/1.75 ( hAPP(V_f,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.63/1.75 | V_f = V_g ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_top1I_0,axiom, % 1.63/1.75 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__mktop_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_y = V_z % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Collect__empty__eq_0,axiom, % 1.63/1.75 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_doubleton__eq__iff_0,axiom, % 1.63/1.75 ( 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) % 1.63/1.75 | V_a = V_d % 1.63/1.75 | V_a = V_c ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_doubleton__eq__iff_1,axiom, % 1.63/1.75 ( 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) % 1.63/1.75 | V_b = V_c % 1.63/1.75 | V_a = V_c ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_doubleton__eq__iff_2,axiom, % 1.63/1.75 ( 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) % 1.63/1.75 | V_a = V_d % 1.63/1.75 | V_b = V_d ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_doubleton__eq__iff_3,axiom, % 1.63/1.75 ( 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) % 1.63/1.75 | V_b = V_c % 1.63/1.75 | V_b = V_d ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_surj__compose_0,axiom, % 1.63/1.75 c_Set_Oimage(c_FuncSet_Ocompose(V_A,V_g,V_f,T_b,T_a,T_c),V_A,T_b,T_c) = c_Set_Oimage(V_g,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a,T_c) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 1.63/1.75 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 1.63/1.75 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bex__UN_3,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__on__restrict__eq_0,axiom, % 1.63/1.75 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.75 | ~ c_Fun_Oinj__on(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__on__restrict__eq_1,axiom, % 1.63/1.75 ( c_Fun_Oinj__on(c_FuncSet_Orestrict(V_f,V_A,T_a,T_b),V_A,T_a,T_b) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_empty__not__insert_0,axiom, % 1.63/1.75 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__mktop_0,axiom, % 1.63/1.75 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__mktop_1,axiom, % 1.63/1.75 ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_update__accessor__congruence__foldE_0,axiom, % 1.63/1.75 ( hAPP(V_f,hAPP(V_acc,V_x)) != hAPP(V_f_H,hAPP(V_acc,V_x)) % 1.63/1.75 | ~ c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_aa) % 1.63/1.75 | hAPP(hAPP(V_upd,V_f),V_x) = hAPP(hAPP(V_upd,V_f_H),V_x) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_update__accessor__noopE_0,axiom, % 1.63/1.75 ( hAPP(V_f,hAPP(V_acc,V_x)) != hAPP(V_acc,V_x) % 1.63/1.75 | ~ c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b) % 1.63/1.75 | hAPP(hAPP(V_upd,V_f),V_x) = V_x ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__insert__left_0,axiom, % 1.63/1.75 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_C)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__insert__right_0,axiom, % 1.63/1.75 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_image__insert_0,axiom, % 1.63/1.75 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) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Diff__UNIV_0,axiom, % 1.63/1.75 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__singleton__eq_0,axiom, % 1.63/1.75 ( hAPP(V_f,V_a) = V_b % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_compose__extensional_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Ocompose(V_A,V_f,V_g,T_a,T_c,T_b)),c_FuncSet_Oextensional(V_A,T_a,T_b))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 1.63/1.75 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_empty__Collect__eq_0,axiom, % 1.63/1.75 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insert__code_1,axiom, % 1.63/1.75 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Olattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__left__idem_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__left__absorb_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Inf__empty_0,axiom, % 1.63/1.75 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.75 | hAPP(c_Complete__Lattice_OInf__class_OInf(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_converseD_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_converseI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),c_Relation_Oconverse(V_r,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),V_r)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_converse__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Relation_Oconverse(V_r,T_b,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(T_b,T_a)),c_Pair(V_b,V_a,T_b,T_a)),V_r)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bij__betw__def_1,axiom, % 1.63/1.75 ( c_Set_Oimage(V_f,V_A,T_a,T_b) = V_B % 1.63/1.75 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 1.63/1.75 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 1.63/1.75 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UN__empty2_0,axiom, % 1.63/1.75 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool),T_b),T_b,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insert__Diff_0,axiom, % 1.63/1.75 ( 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 % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf__idem_0,axiom, % 1.63/1.75 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.63/1.75 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__absorb_0,axiom, % 1.63/1.75 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Sup__singleton_0,axiom, % 1.63/1.75 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.75 | hAPP(c_Complete__Lattice_OSup__class_OSup(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_SigmaI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_mem__Sigma__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(T_a,T_b)),c_Pair(V_a,V_b,T_a,T_b)),c_Product__Type_OSigma(V_A,V_B,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_image__is__empty_0,axiom, % 1.63/1.75 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.75 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_singleton__conv_0,axiom, % 1.63/1.75 c_Collect(hAPP(c_COMBC(c_fequal(T_a),T_a,T_a,tc_bool),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__Diff_0,axiom, % 1.63/1.75 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 1.63/1.75 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 1.63/1.75 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pair__eq_0,axiom, % 1.63/1.75 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.63/1.75 | V_a = V_a_H ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pair__eq_1,axiom, % 1.63/1.75 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.63/1.75 | V_b = V_b_H ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_singleton__iff_1,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Int__Collect_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Union__Pow__eq_0,axiom, % 1.63/1.75 hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),c_Set_OPow(V_A,T_a)) = V_A ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__code_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 1.63/1.75 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__code_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__on__compose_0,axiom, % 1.63/1.75 ( c_Fun_Oinj__on(c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),V_A,T_a,T_c) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_g,V_B,T_b,T_c) % 1.63/1.75 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inf1I_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(V_B,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_singleton__conv2_0,axiom, % 1.63/1.75 c_Collect(hAPP(c_fequal(T_a),V_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__empty_0,axiom, % 1.63/1.75 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Collect__mem__eq_0,axiom, % 1.63/1.75 c_Collect(hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_A),T_a) = V_A ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__mktop_3,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_y = V_z % 1.63/1.75 | V_x = V_z ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_in__mktop_5,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | V_x = V_z ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ballE_0,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexCI_3,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XbexCI__1__1(V_A,V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OgreaterThanLessThan__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less,V_l),V_i)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OgreaterThanLessThan__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThanLessThan(V_less,V_l,V_u,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_IntE_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_IntE_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__on__contraD_0,axiom, % 1.63/1.75 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__on__iff_0,axiom, % 1.63/1.75 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.75 | V_x = V_y ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__on__def_0,axiom, % 1.63/1.75 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.75 | V_x = V_xa ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_inj__onD_0,axiom, % 1.63/1.75 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 1.63/1.75 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_y),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bex__empty_0,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_pred__equals__eq_0,axiom, % 1.63/1.75 ( hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_R) != hAPP(c_COMBC(c_in(T_a),T_a,tc_fun(T_a,tc_bool),tc_bool),V_S) % 1.63/1.75 | V_R = V_S ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_CollectI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_CollectD_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,V_a)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Collect(V_P,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatMost__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatMost__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_k)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatMost(V_less__eq,V_k,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Diff__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_DiffI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_c),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)))) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_c),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ball__conj__distrib_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_Q,V_xd)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xd),V_A)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ball__conj__distrib_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,V_xe)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xe),V_A)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Complete__Lattice__Xball__conj__distrib__1__1(V_A,V_P,V_Q,T_a)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ballE_1,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__XballE__1__1(V_A,V_P,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insert__ident_0,axiom, % 1.63/1.75 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | V_A = V_B ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexI__1__1(V_A,V_P,T_a)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UN__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_b),hAPP(V_B,V_x))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UN__I_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),V_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_b),hAPP(V_B,V_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OgreaterThan__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less,V_k),V_i)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OgreaterThan__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less,V_k),V_i)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OgreaterThan(V_less,V_k,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bex__UN_4,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Complete__Lattice__Xbex__UN__1__3(V_A,V_B,V_P,T_b,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),hAPP(V_B,V_x))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__eq_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimageI2_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_A,T_b,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimageI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),V_a),c_Set_Ovimage(V_f,V_B,T_b,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_a)),V_B)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimageE_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_B,T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimageD_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_a)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),c_Set_Ovimage(V_f,V_A,T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatLeastAtMost__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_i),V_u)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatLeastAtMost__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastAtMost(V_less__eq,V_l,V_u,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bex__Un_7,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_B)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bex__Un_5,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xbex__Un__1__3(V_A,V_B,V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_xa)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_xa),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bexE_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__XbexE__1__1(V_A,V_P,T_a)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_insert__absorb_0,axiom, % 1.63/1.75 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OlessThan__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_less,V_i),V_k)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OlessThan__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less,V_i),V_k)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OlessThan(V_less,V_k,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_SUP2__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_x),V_b),V_c)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_SUP1__iff_2,axiom, % 1.63/1.75 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_SUP2__I_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_fun(T_c,tc_bool))),V_b),V_c)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(hAPP(V_B,V_a),V_b),V_c)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_SUP1__I_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_a),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatLeastLessThan__iff_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less,V_i),V_u)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ord_OatLeastLessThan__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(V_less__eq,V_l),V_i)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_i),c_SetInterval_Oord_OatLeastLessThan(V_less__eq,V_less,V_l,V_u,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_rev__bexI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_rev__bexI_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Set__Xrev__bexI__1__1(V_A,V_P,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(V_P,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_rev__image__eqI_0,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(T_aa),V_x),V_A)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_aa,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_image__iff_2,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_image__eqI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_b,T_a))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_imageI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),c_Set_Oimage(V_f,V_A,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pi__I_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pi__I_H_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_extensional__arb_0,axiom, % 1.63/1.75 ( hAPP(V_f,V_x) = c_HOL_Oundefined(T_b) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pi__I_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_extensionalityI_0,axiom, % 1.63/1.75 ( V_f = V_g % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XextensionalityI__1__1(V_A,V_f,V_g,T_a,T_b)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_g),c_FuncSet_Oextensional(V_A,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_Oextensional(V_A,T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pi__I_H_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b))),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_InterI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_bool)),V_C))) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a)),V_C)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UnionE_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a)),V_C)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),V_C))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_quotientE_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a)),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),c_Equiv__Relations_Oquotient(V_A,V_r,T_a))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__const_0,axiom, % 1.63/1.75 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_vimage__const_1,axiom, % 1.63/1.75 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_b),V_c),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pow__top_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_A),c_Set_OPow(V_A,T_a))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_restrict__in__funcset_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_restrict__in__funcset_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),c_FuncSet_Orestrict(V_f,V_A,T_a,T_b)),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__Xrestrict__in__funcset__1__1(V_A,V_B,V_f,T_a,T_b))),V_B)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_compose__assoc_0,axiom, % 1.63/1.75 ( c_FuncSet_Ocompose(V_A,V_h,c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c),T_a,T_c,T_d) = c_FuncSet_Ocompose(V_A,c_FuncSet_Ocompose(V_B,V_h,V_g,T_b,T_c,T_d),V_f,T_a,T_b,T_d) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_c,T_d)),V_h),c_FuncSet_OPi(V_C,c_COMBK(V_D,tc_fun(T_d,tc_bool),T_c),T_c,T_d))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_b,T_c)),V_g),c_FuncSet_OPi(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_funcset__compose_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_c)),c_FuncSet_Ocompose(V_A,V_g,V_f,T_a,T_b,T_c)),c_FuncSet_OPi(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_b,T_c)),V_g),c_FuncSet_OPi(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_funcset__id_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_a)),c_COMBI(T_a)),c_FuncSet_OPi(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_bij__betw__imp__funcset_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.63/1.75 | ~ c_Fun_Obij__betw(V_f,V_A,V_B,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_lfp__const_0,axiom, % 1.63/1.75 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.63/1.75 | c_Inductive_Ocomplete__lattice__class_Olfp(c_COMBK(V_t,T_a,T_a),T_a) = V_t ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_iso__tuple__update__accessor__cong__assist__def_0,axiom, % 1.63/1.75 ( hAPP(hAPP(V_upd,c_COMBK(hAPP(V_f,hAPP(V_acc,V_va)),T_a,T_a)),V_va) = hAPP(hAPP(V_upd,V_f),V_va) % 1.63/1.75 | ~ c_Record_Oiso__tuple__update__accessor__cong__assist(V_upd,V_acc,T_a,T_b) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_notin__Lin__iff_1,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_notin__Lin__iff_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | V_x = V_y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Lin__irrefl_0,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),V_L)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_assms_I3_J_0,axiom, % 1.63/1.75 c_Arrow__Order__Mirabelle_OIIA(v_F) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_u_0,axiom, % 1.63/1.75 c_Arrow__Order__Mirabelle_Ounanimity(v_F) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_funcsetI_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b))),V_B)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_funcsetI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_a),c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_A)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Pi__mem_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_PiE_0,axiom, % 1.63/1.75 ( ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),hAPP(V_B,V_x))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,V_B,T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_InterD_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_bool)),V_C))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_UnionI_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_A),hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_bool)),V_C))) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_A),V_X)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,tc_bool)),V_X),V_C)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_Times__eq__cancel2_0,axiom, % 1.63/1.75 ( 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) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_C)) % 1.63/1.75 | V_A = V_B ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_complete__Lin_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b)),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_a = V_b ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_mktop__Lin_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_mkbot__Lin_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x)),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_below__Lin_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_y)),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_y ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_linear__alt_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1),c_Arrow__Order__Mirabelle_OLin)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_converse__in__Lin_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_converse__in__Lin_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_above__Lin_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_y)),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) % 1.63/1.75 | V_x = V_y ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_const__Lin__Prof_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(V_L,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),V_L),c_Arrow__Order__Mirabelle_OLin)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_funcset__mem_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_b),hAPP(V_f,V_x)),V_B)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_A)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(tc_fun(T_a,T_b)),V_f),c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b))) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_mem__def_1,axiom, % 1.63/1.75 ( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) % 1.63/1.75 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_mem__def_0,axiom, % 1.63/1.75 ( hBOOL(hAPP(V_S,V_x)) % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_COMBK__def_0,axiom, % 1.63/1.75 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 1.63/1.75 % 1.63/1.75 cnf(cls_CHAINED_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_Lab____),c_Arrow__Order__Mirabelle_OLin)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_CHAINED_0_01,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_in(tc_fun(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_F),c_FuncSet_OPi(c_Arrow__Order__Mirabelle_OProf,c_COMBK(c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_conjecture_0,negated_conjecture, % 1.63/1.75 ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),hAPP(v_F,c_COMBK(v_Lab____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi))),c_Arrow__Order__Mirabelle_OLin)) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 1.63/1.75 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 1.63/1.75 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Lattices_Olattice(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 1.63/1.75 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Lattices_Olattice(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 1.63/1.75 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 1.63/1.75 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 1.63/1.75 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Orderings_Opreorder(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Lattices_Olattice,axiom, % 1.63/1.75 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Lattices_Olattice(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Orderings_Oorder,axiom, % 1.63/1.75 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Orderings_Oorder(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Orderings_Otop,axiom, % 1.63/1.75 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Orderings_Otop(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__Orderings_Obot,axiom, % 1.63/1.75 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_Orderings_Obot(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_fun__HOL_Oord,axiom, % 1.63/1.75 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 1.63/1.75 | ~ class_HOL_Oord(T_1) ) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 1.63/1.75 class_Lattices_Oupper__semilattice(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 1.63/1.75 class_Lattices_Olower__semilattice(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 1.63/1.75 class_Lattices_Odistrib__lattice(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.63/1.75 class_Orderings_Opreorder(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.63/1.75 class_Orderings_Olinorder(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Lattices_Olattice,axiom, % 1.63/1.75 class_Lattices_Olattice(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.63/1.75 class_Orderings_Oorder(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__Orderings_Obot,axiom, % 1.63/1.75 class_Orderings_Obot(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_nat__HOL_Oord,axiom, % 1.63/1.75 class_HOL_Oord(tc_nat) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 1.63/1.75 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 1.63/1.75 class_Lattices_Oupper__semilattice(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 1.63/1.75 class_Lattices_Olower__semilattice(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 1.63/1.75 class_Lattices_Odistrib__lattice(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 1.63/1.75 class_Lattices_Obounded__lattice(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 1.63/1.75 class_Orderings_Opreorder(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Lattices_Olattice,axiom, % 1.63/1.75 class_Lattices_Olattice(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Orderings_Oorder,axiom, % 1.63/1.75 class_Orderings_Oorder(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Orderings_Otop,axiom, % 1.63/1.75 class_Orderings_Otop(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__Orderings_Obot,axiom, % 1.63/1.75 class_Orderings_Obot(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(clsarity_bool__HOL_Oord,axiom, % 1.63/1.75 class_HOL_Oord(tc_bool) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ATP__Linkup_OCOMBK__def_0,axiom, % 1.63/1.75 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ATP__Linkup_OCOMBI__def_0,axiom, % 1.63/1.75 hAPP(c_COMBI(T_a),V_P) = V_P ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 1.63/1.75 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 1.63/1.75 % 1.63/1.75 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 1.63/1.75 ( V_X = V_Y % 1.63/1.75 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 1.63/1.75 % 1.63/1.75 %------------------------------------------------------------------------------ % 1.63/1.75 %------------------------------------------- % 1.63/1.75 % Proof found % 1.63/1.75 % SZS status Theorem for theBenchmark % 1.63/1.75 % SZS output start Proof % 1.63/1.75 %ClaNum:1038(EqnAxiom:289) % 1.63/1.75 %VarNum:7234(SingletonVarNum:2482) % 1.63/1.75 %MaxLitNum:10 % 1.63/1.75 %MaxfuncDepth:7 % 1.63/1.75 %SharedTerms:56 % 1.63/1.75 %goalClause: 461 % 1.63/1.75 %singleGoalClaCount:1 % 1.63/1.75 [290]P1(a1) % 1.63/1.75 [291]P1(a70) % 1.63/1.75 [292]P16(a1) % 1.63/1.75 [293]P16(a70) % 1.63/1.75 [294]P21(a1) % 1.63/1.75 [295]P21(a70) % 1.63/1.75 [296]P2(a1) % 1.63/1.75 [297]P2(a70) % 1.63/1.75 [298]P22(a1) % 1.63/1.75 [299]P14(a1) % 1.63/1.75 [300]P14(a70) % 1.63/1.75 [301]P15(a1) % 1.63/1.75 [302]P15(a70) % 1.63/1.75 [303]P3(a1) % 1.63/1.75 [304]P3(a70) % 1.63/1.75 [305]P17(a70) % 1.63/1.75 [306]P13(a1) % 1.63/1.75 [307]P18(a1) % 1.63/1.75 [308]P18(a70) % 1.63/1.75 [309]P4(a1) % 1.63/1.75 [310]P5(a72) % 1.63/1.75 [311]P6(a72) % 1.63/1.75 [423]P23(f25(f25(f66(f71(f71(a69,f71(f73(a68,a68),a1)),f71(f73(a68,a68),a1))),a72),f36(a20,f27(a4,f71(f71(f73(a68,a68),a1),a1),f71(a69,f71(f73(a68,a68),a1))),f71(a69,f71(f73(a68,a68),a1)),f71(f73(a68,a68),a1)))) % 1.63/1.75 [363]P23(f25(f25(f66(f71(f73(a68,a68),a1)),a74),a4)) % 1.63/1.75 [364]P23(f25(f25(f66(f71(f73(a68,a68),a1)),a75),a4)) % 1.63/1.75 [461]~P23(f25(f25(f66(f71(f73(a68,a68),a1)),f25(a72,f27(a75,f71(f73(a68,a68),a1),a69))),a4)) % 1.63/1.75 [448]~E(f44(f71(x4481,a1)),f52(f71(x4481,a1))) % 1.63/1.75 [333]P7(f2(x3331),x3332,x3331,x3331) % 1.63/1.75 [313]E(f25(f2(x3131),x3132),x3132) % 1.63/1.75 [314]E(f25(f26(f71(x3141,a1)),f29(x3142,x3141)),x3142) % 1.63/1.75 [315]E(f30(x3151,x3151,f71(x3152,a1)),f44(f71(x3152,a1))) % 1.63/1.75 [319]E(f30(x3191,f44(f71(x3192,a1)),f71(x3192,a1)),x3191) % 1.63/1.75 [323]E(f30(x3231,f52(f71(x3232,a1)),f71(x3232,a1)),f44(f71(x3232,a1))) % 1.63/1.75 [324]E(f30(f44(f71(x3241,a1)),x3242,f71(x3241,a1)),f44(f71(x3241,a1))) % 1.63/1.75 [334]E(f64(f2(x3341),x3342,x3341,x3341),x3342) % 1.63/1.75 [335]E(f65(f2(x3351),x3352,x3351,x3351),x3352) % 1.63/1.75 [351]P23(f25(f25(f66(f71(x3511,a1)),x3512),f29(x3512,x3511))) % 1.63/1.75 [357]P23(f25(f25(f66(f71(x3571,a1)),f44(f71(x3571,a1))),f29(x3572,x3571))) % 1.63/1.75 [316]P23(f25(f25(f63(x3161),x3162),x3162)) % 1.63/1.75 [320]P23(f25(f52(f71(x3201,a1)),x3202)) % 1.63/1.75 [326]E(f25(f25(f45(f71(x3261,a1)),x3262),f44(f71(x3261,a1))),x3262) % 1.63/1.75 [327]E(f25(f25(f46(f71(x3271,a1)),x3272),f52(f71(x3271,a1))),x3272) % 1.63/1.75 [328]P23(f25(f25(f66(x3281),x3282),f52(f71(x3281,a1)))) % 1.63/1.75 [329]E(f25(f25(f45(f71(x3291,a1)),x3292),f52(f71(x3291,a1))),f52(f71(x3291,a1))) % 1.63/1.75 [330]E(f25(f25(f46(f71(x3301,a1)),x3302),f44(f71(x3301,a1))),f44(f71(x3301,a1))) % 1.63/1.75 [352]P23(f25(f25(f67(f71(x3521,a1)),x3522),f52(f71(x3521,a1)))) % 1.63/1.75 [359]E(f25(f3(f66(x3591),x3591,f71(x3591,a1),a1),x3592),x3592) % 1.63/1.75 [403]E(f25(f25(f45(f71(x4031,a1)),f25(f3(f63(x4031),x4031,x4031,a1),x4032)),f44(f71(x4031,a1))),f25(f63(x4031),x4032)) % 1.63/1.75 [449]~P23(f25(f44(f71(x4491,a1)),x4492)) % 1.63/1.75 [452]~P23(f25(f25(f66(x4521),x4522),f44(f71(x4521,a1)))) % 1.63/1.75 [454]~P23(f25(f25(f48(f71(x4541,a1)),x4542),f44(f71(x4541,a1)))) % 1.63/1.75 [321]E(f25(f25(f45(f71(x3211,a1)),x3212),x3212),x3212) % 1.63/1.75 [322]E(f25(f25(f46(f71(x3221,a1)),x3222),x3222),x3222) % 1.63/1.75 [331]E(f25(f25(f45(f71(x3311,a1)),f44(f71(x3311,a1))),x3312),x3312) % 1.63/1.75 [332]E(f25(f25(f46(f71(x3321,a1)),f52(f71(x3321,a1))),x3322),x3322) % 1.63/1.75 [336]E(f25(f25(f45(f71(x3361,a1)),f52(f71(x3361,a1))),x3362),f52(f71(x3361,a1))) % 1.63/1.75 [337]E(f25(f25(f46(f71(x3371,a1)),f44(f71(x3371,a1))),x3372),f44(f71(x3371,a1))) % 1.63/1.75 [341]P23(f25(f25(f67(f71(x3411,a1)),x3412),x3412)) % 1.63/1.75 [355]P23(f25(f25(f67(f71(x3551,a1)),f44(f71(x3551,a1))),x3552)) % 1.63/1.75 [398]P23(f25(f25(f66(f71(x3981,x3981)),f2(x3981)),f36(x3982,f27(x3982,f71(x3981,a1),x3981),x3981,x3981))) % 1.63/1.75 [453]~P23(f25(f25(f48(f71(x4531,a1)),x4532),x4532)) % 1.63/1.75 [325]E(f53(f53(x3251,x3252,x3253),x3253,x3252),x3251) % 1.63/1.75 [342]P7(x3421,f44(f71(x3422,a1)),x3422,x3423) % 1.63/1.75 [343]E(f30(f30(x3431,x3432,f71(x3433,a1)),x3432,f71(x3433,a1)),f30(x3431,x3432,f71(x3433,a1))) % 1.63/1.75 [356]E(f31(f44(f71(x3561,a1)),f27(x3562,f71(x3563,a1),x3561),x3561,f71(x3563,a1)),f44(f71(x3563,a1))) % 1.63/1.75 [358]E(f31(x3581,f27(f44(f71(x3582,a1)),f71(x3582,a1),x3583),x3583,f71(x3582,a1)),f44(f71(x3582,a1))) % 1.63/1.75 [457]~P23(f25(f25(f66(f73(a68,a68)),f55(x4571,x4572,a68,a68)),f21(x4573,x4572))) % 1.63/1.75 [458]~P23(f25(f25(f66(f73(a68,a68)),f55(x4581,x4582,a68,a68)),f24(x4583,x4581))) % 1.63/1.75 [344]E(f25(f25(f46(f71(x3441,a1)),x3442),f30(x3443,x3442,f71(x3441,a1))),f44(f71(x3441,a1))) % 1.63/1.75 [346]E(f64(x3461,f44(f71(x3462,a1)),x3462,x3463),f44(f71(x3463,a1))) % 1.63/1.75 [347]E(f54(x3471,f44(f71(x3472,a1)),x3472,x3473),f44(f71(x3473,a1))) % 1.63/1.75 [348]E(f65(x3481,f52(f71(x3482,a1)),x3483,x3482),f52(f71(x3483,a1))) % 1.63/1.75 [349]E(f65(x3491,f44(f71(x3492,a1)),x3493,x3492),f44(f71(x3493,a1))) % 1.63/1.75 [338]E(f25(f25(f45(f71(x3381,a1)),x3382),x3383),f25(f25(f45(f71(x3381,a1)),x3383),x3382)) % 1.63/1.75 [339]E(f25(f25(f46(f71(x3391,a1)),x3392),x3393),f25(f25(f46(f71(x3391,a1)),x3393),x3392)) % 1.63/1.75 [354]E(f25(f25(f45(f71(x3541,a1)),x3542),f30(x3543,x3542,f71(x3541,a1))),f25(f25(f45(f71(x3541,a1)),x3542),x3543)) % 1.63/1.75 [362]E(f25(f25(f45(f71(x3621,a1)),f30(x3622,x3623,f71(x3621,a1))),x3623),f25(f25(f45(f71(x3621,a1)),x3622),x3623)) % 1.63/1.75 [374]P23(f25(f25(f67(f71(x3741,a1)),f30(x3742,x3743,f71(x3741,a1))),x3742)) % 1.63/1.75 [360]E(f25(f25(f45(f71(x3601,a1)),x3602),f25(f25(f45(f71(x3601,a1)),x3602),x3603)),f25(f25(f45(f71(x3601,a1)),x3602),x3603)) % 1.63/1.75 [361]E(f25(f25(f46(f71(x3611,a1)),x3612),f25(f25(f46(f71(x3611,a1)),x3612),x3613)),f25(f25(f46(f71(x3611,a1)),x3612),x3613)) % 1.63/1.75 [368]E(f25(f25(f45(f71(x3681,a1)),f30(x3682,x3683,f71(x3681,a1))),f25(f25(f46(f71(x3681,a1)),x3682),x3683)),x3682) % 1.63/1.75 [372]P23(f25(f25(f67(f71(x3721,a1)),x3722),f25(f25(f45(f71(x3721,a1)),x3723),x3722))) % 1.63/1.75 [373]P23(f25(f25(f67(f71(x3731,a1)),x3732),f25(f25(f45(f71(x3731,a1)),x3732),x3733))) % 1.63/1.75 [437]E(f25(f25(f45(f71(x4371,a1)),f25(f25(f45(f71(x4371,a1)),f25(f3(f63(x4371),x4371,x4371,a1),x4372)),f44(f71(x4371,a1)))),x4373),f25(f25(f45(f71(x4371,a1)),f25(f3(f63(x4371),x4371,x4371,a1),x4372)),x4373)) % 1.63/1.75 [441]E(f25(f25(f45(f71(x4411,a1)),f25(f3(f63(x4411),x4411,x4411,a1),x4412)),f30(x4413,f25(f25(f45(f71(x4411,a1)),f25(f3(f63(x4411),x4411,x4411,a1),x4412)),f44(f71(x4411,a1))),f71(x4411,a1))),f25(f25(f45(f71(x4411,a1)),f25(f3(f63(x4411),x4411,x4411,a1),x4412)),x4413)) % 1.63/1.75 [456]~E(f25(f25(f45(f71(x4561,a1)),f25(f3(f63(x4561),x4561,x4561,a1),x4562)),x4563),f44(f71(x4561,a1))) % 1.63/1.75 [392]P23(f25(f25(f67(f71(x3921,a1)),f25(f25(f46(f71(x3921,a1)),x3922),x3923)),x3923)) % 1.63/1.75 [393]P23(f25(f25(f67(f71(x3931,a1)),f25(f25(f46(f71(x3931,a1)),x3932),x3933)),x3932)) % 1.63/1.75 [426]P23(f25(f25(f25(f45(f71(x4261,a1)),f25(f3(f63(x4261),x4261,x4261,a1),x4262)),x4263),x4262)) % 1.63/1.75 [430]P23(f25(f25(f66(x4301),x4302),f25(f25(f45(f71(x4301,a1)),f25(f3(f63(x4301),x4301,x4301,a1),x4302)),x4303))) % 1.63/1.75 [318]E(f25(f27(x3181,x3182,x3183),x3184),x3181) % 1.63/1.75 [367]E(f30(x3671,f31(f44(f71(x3672,a1)),x3673,x3672,f71(x3674,a1)),f71(x3674,a1)),x3671) % 1.63/1.75 [379]E(f64(f32(x3791,x3792,x3793,x3794),x3792,x3793,x3794),f64(x3791,x3792,x3793,x3794)) % 1.63/1.75 [380]E(f30(f25(f25(f46(f71(x3801,a1)),x3802),x3803),f25(f25(f46(f71(x3801,a1)),x3804),x3803),f71(x3801,a1)),f30(f25(f25(f46(f71(x3801,a1)),x3802),x3803),x3804,f71(x3801,a1))) % 1.63/1.75 [387]E(f33(x3871,x3872,f25(x3871,x3872),x3873,x3874),x3871) % 1.63/1.75 [408]P23(f25(f25(f66(f71(x4081,x4082)),f32(x4083,x4084,x4081,x4082)),f37(x4084,x4081,x4082))) % 1.63/1.75 [418]P8(x4181,x4182,f44(f71(x4183,a1)),x4182,x4183,x4184) % 1.63/1.75 [425]E(f32(f19(x4251,f32(f47(x4252,x4251,x4253,x4254),f64(x4251,x4252,x4253,x4254),x4254,x4253),x4253,x4254,x4254),f64(x4251,x4252,x4253,x4254),x4254,x4254),f32(f2(x4254),f64(x4251,x4252,x4253,x4254),x4254,x4254)) % 1.63/1.75 [433]E(f30(f30(x4331,x4332,f71(x4333,a1)),f25(f25(f45(f71(x4333,a1)),f25(f3(f63(x4333),x4333,x4333,a1),x4334)),f44(f71(x4333,a1))),f71(x4333,a1)),f30(x4331,f25(f25(f45(f71(x4333,a1)),f25(f3(f63(x4333),x4333,x4333,a1),x4334)),x4332),f71(x4333,a1))) % 1.63/1.75 [442]E(f30(f30(x4421,f25(f25(f45(f71(x4422,a1)),f25(f3(f63(x4422),x4422,x4422,a1),x4423)),f44(f71(x4422,a1))),f71(x4422,a1)),x4424,f71(x4422,a1)),f30(x4421,f25(f25(f45(f71(x4422,a1)),f25(f3(f63(x4422),x4422,x4422,a1),x4423)),x4424),f71(x4422,a1))) % 1.63/1.75 [366]E(f30(f25(f25(f46(f71(x3661,a1)),x3662),x3663),x3664,f71(x3661,a1)),f25(f25(f46(f71(x3661,a1)),x3662),f30(x3663,x3664,f71(x3661,a1)))) % 1.63/1.75 [369]E(f25(f25(f45(f71(x3691,a1)),x3692),f31(f44(f71(x3693,a1)),x3694,x3693,f71(x3691,a1))),x3692) % 1.63/1.75 [375]E(f30(f25(f25(f46(f71(x3751,a1)),x3752),x3753),f25(f25(f46(f71(x3751,a1)),x3752),x3754),f71(x3751,a1)),f25(f25(f46(f71(x3751,a1)),x3752),f30(x3753,x3754,f71(x3751,a1)))) % 1.63/1.75 [376]E(f25(f25(f46(f71(x3761,a1)),f30(x3762,x3763,f71(x3761,a1))),f30(x3762,x3764,f71(x3761,a1))),f30(x3762,f25(f25(f45(f71(x3761,a1)),x3763),x3764),f71(x3761,a1))) % 1.63/1.75 [377]E(f25(f25(f45(f71(x3771,a1)),f30(x3772,x3773,f71(x3771,a1))),f30(x3772,x3774,f71(x3771,a1))),f30(x3772,f25(f25(f46(f71(x3771,a1)),x3773),x3774),f71(x3771,a1))) % 1.63/1.75 [378]E(f25(f25(f45(f71(x3781,a1)),f30(x3782,x3783,f71(x3781,a1))),f30(x3784,x3783,f71(x3781,a1))),f30(f25(f25(f45(f71(x3781,a1)),x3782),x3784),x3783,f71(x3781,a1))) % 1.63/1.75 [415]E(f25(f25(f45(f71(x4151,a1)),f25(f3(f63(x4151),x4151,x4151,a1),x4152)),f31(f44(f71(x4153,a1)),x4154,x4153,f71(x4151,a1))),f25(f25(f45(f71(x4151,a1)),f25(f3(f63(x4151),x4151,x4151,a1),x4152)),f44(f71(x4151,a1)))) % 1.63/1.75 [417]E(f25(f3(f19(f66(x4171),x4172,x4171,f71(f71(x4171,a1),a1),x4173),x4173,f71(x4171,a1),a1),x4174),f65(x4172,x4174,x4173,x4171)) % 1.63/1.75 [382]E(f30(f25(f25(f46(f71(x3821,a1)),x3822),x3823),f25(f25(f46(f71(x3821,a1)),x3824),x3823),f71(x3821,a1)),f25(f25(f46(f71(x3821,a1)),f30(x3822,x3824,f71(x3821,a1))),x3823)) % 1.63/1.75 [388]P23(f25(f25(f66(x3881),f25(x3882,x3883)),f64(x3882,f52(f71(x3884,a1)),x3884,x3881))) % 1.63/1.75 [391]E(f25(f25(f45(f71(x3911,a1)),f31(f44(f71(x3912,a1)),x3913,x3912,f71(x3911,a1))),x3914),x3914) % 1.63/1.75 [395]E(f64(x3951,f65(x3951,x3952,x3953,x3954),x3953,x3954),f25(f25(f46(f71(x3954,a1)),x3952),f64(x3951,f52(f71(x3953,a1)),x3953,x3954))) % 1.63/1.75 [419]P23(f25(f25(f67(f71(x4191,a1)),f64(x4192,f65(x4192,x4193,x4194,x4191),x4194,x4191)),x4193)) % 1.63/1.75 [443]P23(f25(f25(f66(f71(x4431,x4432)),f32(f47(x4433,x4434,x4432,x4431),f64(x4434,x4433,x4432,x4431),x4431,x4432)),f36(f64(x4434,x4433,x4432,x4431),f27(x4433,f71(x4432,a1),x4431),x4431,x4432))) % 1.63/1.75 [370]E(f25(f25(f45(f71(x3701,a1)),x3702),f25(f25(f45(f71(x3701,a1)),x3703),x3704)),f25(f25(f45(f71(x3701,a1)),x3703),f25(f25(f45(f71(x3701,a1)),x3702),x3704))) % 1.63/1.75 [371]E(f25(f25(f46(f71(x3711,a1)),x3712),f25(f25(f46(f71(x3711,a1)),x3713),x3714)),f25(f25(f46(f71(x3711,a1)),x3713),f25(f25(f46(f71(x3711,a1)),x3712),x3714))) % 1.63/1.75 [389]E(f25(f25(f46(f71(x3891,a1)),f25(f25(f45(f71(x3891,a1)),x3892),x3893)),f25(f25(f45(f71(x3891,a1)),x3892),x3894)),f25(f25(f45(f71(x3891,a1)),x3892),f25(f25(f46(f71(x3891,a1)),x3893),x3894))) % 1.63/1.75 [390]E(f25(f25(f45(f71(x3901,a1)),f25(f25(f46(f71(x3901,a1)),x3902),x3903)),f25(f25(f46(f71(x3901,a1)),x3902),x3904)),f25(f25(f46(f71(x3901,a1)),x3902),f25(f25(f45(f71(x3901,a1)),x3903),x3904))) % 1.63/1.75 [427]E(f25(f25(f46(f71(x4271,a1)),f25(f25(f46(f71(x4271,a1)),f25(f25(f45(f71(x4271,a1)),x4272),x4273)),f25(f25(f45(f71(x4271,a1)),x4273),x4274))),f25(f25(f45(f71(x4271,a1)),x4274),x4272)),f25(f25(f45(f71(x4271,a1)),f25(f25(f45(f71(x4271,a1)),f25(f25(f46(f71(x4271,a1)),x4272),x4273)),f25(f25(f46(f71(x4271,a1)),x4273),x4274))),f25(f25(f46(f71(x4271,a1)),x4274),x4272))) % 1.63/1.75 [445]P23(f25(f25(f66(x4451),x4452),f65(x4453,f25(f25(f45(f71(x4454,a1)),f25(f3(f63(x4454),x4454,x4454,a1),f25(x4453,x4452))),f44(f71(x4454,a1))),x4451,x4454))) % 1.63/1.75 [383]E(f25(f25(f45(f71(x3831,a1)),f25(f25(f45(f71(x3831,a1)),x3832),x3833)),x3834),f25(f25(f45(f71(x3831,a1)),x3832),f25(f25(f45(f71(x3831,a1)),x3833),x3834))) % 1.63/1.75 [384]E(f25(f25(f46(f71(x3841,a1)),f25(f25(f46(f71(x3841,a1)),x3842),x3843)),x3844),f25(f25(f46(f71(x3841,a1)),x3842),f25(f25(f46(f71(x3841,a1)),x3843),x3844))) % 1.63/1.75 [396]E(f25(f25(f46(f71(x3961,a1)),f25(f25(f45(f71(x3961,a1)),x3962),x3963)),f25(f25(f45(f71(x3961,a1)),x3964),x3963)),f25(f25(f45(f71(x3961,a1)),f25(f25(f46(f71(x3961,a1)),x3962),x3964)),x3963)) % 1.63/1.75 [397]E(f25(f25(f45(f71(x3971,a1)),f25(f25(f46(f71(x3971,a1)),x3972),x3973)),f25(f25(f46(f71(x3971,a1)),x3974),x3973)),f25(f25(f46(f71(x3971,a1)),f25(f25(f45(f71(x3971,a1)),x3972),x3974)),x3973)) % 1.63/1.75 [406]E(f25(f33(x4061,x4062,x4063,x4064,x4065),x4062),x4063) % 1.63/1.75 [394]E(f30(f65(x3941,x3942,x3943,x3944),f65(x3941,x3945,x3943,x3944),f71(x3943,a1)),f65(x3941,f30(x3942,x3945,f71(x3944,a1)),x3943,x3944)) % 1.63/1.75 [404]E(f25(f25(f45(f71(x4041,a1)),f31(x4042,x4043,x4044,f71(x4041,a1))),f31(x4045,x4043,x4044,f71(x4041,a1))),f31(f25(f25(f45(f71(x4044,a1)),x4042),x4045),x4043,x4044,f71(x4041,a1))) % 1.63/1.75 [416]E(f31(f25(f25(f45(f71(x4161,a1)),f25(f3(f63(x4161),x4161,x4161,a1),x4162)),x4163),x4164,x4161,f71(x4165,a1)),f25(f25(f45(f71(x4165,a1)),f25(x4164,x4162)),f31(x4163,x4164,x4161,f71(x4165,a1)))) % 1.63/1.75 [435]P23(f25(f25(f67(f71(x4351,a1)),f64(x4352,f25(f25(f46(f71(x4353,a1)),x4354),x4355),x4353,x4351)),f25(f25(f46(f71(x4351,a1)),f64(x4352,x4354,x4353,x4351)),f64(x4352,x4355,x4353,x4351)))) % 1.63/1.75 [436]P23(f25(f25(f67(f71(x4361,a1)),f54(x4362,f25(f25(f46(f71(x4363,a1)),x4364),x4365),x4363,x4361)),f25(f25(f46(f71(x4361,a1)),f54(x4362,x4364,x4363,x4361)),f54(x4362,x4365,x4363,x4361)))) % 1.63/1.75 [413]E(f64(f19(x4131,x4132,x4133,x4134,x4135),f52(f71(x4135,a1)),x4135,x4134),f64(x4131,f64(x4132,f52(f71(x4135,a1)),x4135,x4133),x4133,x4134)) % 1.63/1.75 [434]P23(f25(f25(f67(f71(x4341,a1)),f30(f64(x4342,x4343,x4344,x4341),f64(x4342,x4345,x4344,x4341),f71(x4341,a1))),f64(x4342,f30(x4343,x4345,f71(x4344,a1)),x4344,x4341))) % 1.63/1.75 [399]E(f25(f25(f45(f71(x3991,a1)),f64(x3992,x3993,x3994,x3991)),f64(x3992,x3995,x3994,x3991)),f64(x3992,f25(f25(f45(f71(x3994,a1)),x3993),x3995),x3994,x3991)) % 1.63/1.75 [400]E(f25(f25(f45(f71(x4001,a1)),f54(x4002,x4003,x4004,x4001)),f54(x4002,x4005,x4004,x4001)),f54(x4002,f25(f25(f45(f71(x4004,a1)),x4003),x4005),x4004,x4001)) % 1.63/1.75 [401]E(f25(f25(f45(f71(x4011,a1)),f65(x4012,x4013,x4011,x4014)),f65(x4012,x4015,x4011,x4014)),f65(x4012,f25(f25(f45(f71(x4014,a1)),x4013),x4015),x4011,x4014)) % 1.63/1.75 [402]E(f25(f25(f46(f71(x4021,a1)),f65(x4022,x4023,x4021,x4024)),f65(x4022,x4025,x4021,x4024)),f65(x4022,f25(f25(f46(f71(x4024,a1)),x4023),x4025),x4021,x4024)) % 1.63/1.75 [422]E(f64(x4221,f25(f25(f45(f71(x4222,a1)),f25(f3(f63(x4222),x4222,x4222,a1),x4223)),x4224),x4222,x4225),f25(f25(f45(f71(x4225,a1)),f25(f3(f63(x4225),x4225,x4225,a1),f25(x4221,x4223))),f64(x4221,x4224,x4222,x4225))) % 1.63/1.75 [447]E(f25(f25(f45(f71(x4471,a1)),f65(x4472,f25(f25(f45(f71(x4473,a1)),f25(f3(f63(x4473),x4473,x4473,a1),x4474)),f44(f71(x4473,a1))),x4471,x4473)),f65(x4472,x4475,x4471,x4473)),f65(x4472,f25(f25(f45(f71(x4473,a1)),f25(f3(f63(x4473),x4473,x4473,a1),x4474)),x4475),x4471,x4473)) % 1.63/1.75 [407]E(f25(f19(x4071,x4072,x4073,x4074,x4075),x4076),f25(x4071,f25(x4072,x4076))) % 1.63/1.75 [410]E(f64(x4101,f64(x4102,x4103,x4104,x4105),x4105,x4106),f64(f19(x4101,x4102,x4105,x4106,x4104),x4103,x4104,x4106)) % 1.63/1.75 [411]E(f31(f64(x4111,x4112,x4113,x4114),x4115,x4114,f71(x4116,a1)),f31(x4112,f19(x4115,x4111,x4114,f71(x4116,a1),x4113),x4113,f71(x4116,a1))) % 1.63/1.75 [412]E(f31(x4121,f19(x4122,x4123,x4124,f71(x4125,a1),x4126),x4126,f71(x4125,a1)),f31(f64(x4123,x4121,x4126,x4124),x4122,x4124,f71(x4125,a1))) % 1.63/1.75 [414]E(f33(f33(x4141,x4142,x4143,x4144,x4145),x4142,x4146,x4144,x4145),f33(x4141,x4142,x4146,x4144,x4145)) % 1.63/1.75 [381]E(f25(f25(f3(x3811,x3812,x3813,x3814),x3815),x3816),f25(f25(x3811,x3816),x3815)) % 1.63/1.75 [420]E(f64(f32(f19(x4201,x4202,x4203,x4204,x4205),x4206,x4205,x4204),x4206,x4205,x4204),f64(x4201,f64(x4202,x4206,x4205,x4203),x4203,x4204)) % 1.63/1.75 [1025]~P4(x10251)+P10(f26(x10251),f28(x10251),f3(f67(x10251),x10251,x10251,a1),f3(f48(x10251),x10251,x10251,a1),f45(x10251),f46(x10251),f52(x10251),f44(x10251),x10251) % 1.63/1.75 [483]~P4(x4831)+E(f25(f26(x4831),f52(f71(x4831,a1))),f52(x4831)) % 1.63/1.75 [484]~P4(x4841)+E(f25(f26(x4841),f44(f71(x4841,a1))),f44(x4841)) % 1.63/1.75 [485]~P4(x4851)+E(f25(f28(x4851),f52(f71(x4851,a1))),f44(x4851)) % 1.63/1.75 [486]~P4(x4861)+E(f25(f28(x4861),f44(f71(x4861,a1))),f52(x4861)) % 1.63/1.75 [775]P23(f25(f25(f66(f71(f73(a68,a68),a1)),f53(x7751,a68,a68)),a4))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x7751),a4)) % 1.63/1.75 [784]~P23(f25(f25(f66(f71(f73(a68,a68),a1)),f53(x7841,a68,a68)),a4))+P23(f25(f25(f66(f71(f73(a68,a68),a1)),x7841),a4)) % 1.63/1.75 [819]P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),f27(x8191,f71(f73(a68,a68),a1),a69)),a20))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8191),a4)) % 1.63/1.75 [462]~P15(x4622)+P1(f71(x4621,x4622)) % 1.63/1.75 [463]~P16(x4632)+P16(f71(x4631,x4632)) % 1.63/1.75 [464]~P21(x4642)+P21(f71(x4641,x4642)) % 1.63/1.75 [465]~P2(x4652)+P2(f71(x4651,x4652)) % 1.63/1.75 [466]~P22(x4662)+P22(f71(x4661,x4662)) % 1.63/1.75 [467]~P15(x4672)+P14(f71(x4671,x4672)) % 1.63/1.75 [468]~P15(x4682)+P15(f71(x4681,x4682)) % 1.63/1.75 [469]~P3(x4692)+P3(f71(x4691,x4692)) % 1.63/1.75 [470]~P13(x4702)+P13(f71(x4701,x4702)) % 1.63/1.75 [471]~P18(x4712)+P18(f71(x4711,x4712)) % 1.63/1.75 [472]~P4(x4722)+P4(f71(x4721,x4722)) % 1.63/1.75 [475]~P13(x4751)+E(f25(f25(f45(x4751),x4752),f44(x4751)),x4752) % 1.63/1.75 [476]~P13(x4761)+E(f25(f25(f46(x4761),x4762),f52(x4761)),x4762) % 1.63/1.75 [477]~P13(x4771)+E(f25(f25(f45(x4771),x4772),f52(x4771)),f52(x4771)) % 1.63/1.75 [478]~P13(x4781)+E(f25(f25(f46(x4781),x4782),f44(x4781)),f44(x4781)) % 1.63/1.75 [499]~P22(x4991)+P23(f25(f25(f67(x4991),x4992),f52(x4991))) % 1.63/1.75 [500]~P4(x5002)+E(f50(f27(x5001,x5002,x5002),x5002),x5001) % 1.63/1.75 [788]E(x7881,x7882)+P23(f25(f25(f66(f73(a68,a68)),f55(x7881,x7882,a68,a68)),f76(x7881,x7882))) % 1.63/1.75 [473]~P1(x4731)+E(f25(f25(f45(x4731),x4732),x4732),x4732) % 1.63/1.75 [474]~P14(x4741)+E(f25(f25(f46(x4741),x4742),x4742),x4742) % 1.63/1.75 [479]~P13(x4791)+E(f25(f25(f45(x4791),f44(x4791)),x4792),x4792) % 1.63/1.75 [480]~P13(x4801)+E(f25(f25(f46(x4801),f52(x4801)),x4802),x4802) % 1.63/1.75 [481]~P13(x4811)+E(f25(f25(f45(x4811),f52(x4811)),x4812),f52(x4811)) % 1.63/1.75 [482]~P13(x4821)+E(f25(f25(f46(x4821),f44(x4821)),x4822),f44(x4821)) % 1.63/1.75 [497]~P16(x4971)+P23(f25(f25(f67(x4971),x4972),x4972)) % 1.63/1.75 [498]~P21(x4981)+P23(f25(f25(f67(x4981),x4982),x4982)) % 1.63/1.75 [501]~P18(x5011)+P23(f25(f25(f67(x5011),f44(x5011)),x5012)) % 1.63/1.75 [507]~P16(x5071)+~P23(f25(f25(f48(x5071),x5072),x5072)) % 1.63/1.75 [508]~P21(x5081)+~P23(f25(f25(f48(x5081),x5082),x5082)) % 1.63/1.75 [509]~P17(x5091)+~P23(f25(f25(f48(x5091),x5092),x5092)) % 1.63/1.75 [635]E(x6351,f44(f71(x6352,a1)))+~P23(f25(f25(f67(f71(x6352,a1)),x6351),f44(f71(x6352,a1)))) % 1.63/1.75 [651]E(x6511,x6512)+P23(f25(f25(f66(f71(f73(a68,a68),a1)),f76(x6511,x6512)),a4)) % 1.63/1.75 [851]~P4(x8511)+E(f25(f26(x8511),f25(f25(f45(f71(x8511,a1)),f25(f3(f63(x8511),x8511,x8511,a1),x8512)),f44(f71(x8511,a1)))),x8512) % 1.63/1.75 [852]~P4(x8521)+E(f25(f28(x8521),f25(f25(f45(f71(x8521,a1)),f25(f3(f63(x8521),x8521,x8521,a1),x8522)),f44(f71(x8521,a1)))),x8522) % 1.63/1.75 [757]P23(f25(f25(f66(f71(f73(a68,a68),a1)),f21(x7571,x7572)),a4))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x7571),a4)) % 1.63/1.75 [758]P23(f25(f25(f66(f71(f73(a68,a68),a1)),f24(x7581,x7582)),a4))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x7581),a4)) % 1.63/1.75 [487]~P23(f25(x4871,x4873))+~E(x4871,f44(f71(x4872,a1))) % 1.63/1.75 [488]~P23(f25(x4882,x4883))+~E(f44(f71(x4881,a1)),x4882) % 1.63/1.75 [534]~P9(x5342,x5343,x5341)+E(f25(f26(f71(x5341,a1)),f34(x5342,x5343,x5341)),x5342) % 1.63/1.75 [786]E(x7861,x7862)+P23(f25(f25(f66(f73(a68,a68)),f55(x7861,x7862,a68,a68)),f21(x7863,x7861))) % 1.63/1.75 [787]E(x7871,x7872)+P23(f25(f25(f66(f73(a68,a68)),f55(x7871,x7872,a68,a68)),f24(x7873,x7872))) % 1.63/1.75 [493]~P1(x4931)+E(f25(f25(f45(x4931),x4932),x4933),f25(f25(f45(x4931),x4933),x4932)) % 1.63/1.75 [494]~P15(x4941)+E(f25(f25(f45(x4941),x4942),x4943),f25(f25(f45(x4941),x4943),x4942)) % 1.63/1.75 [495]~P14(x4951)+E(f25(f25(f46(x4951),x4952),x4953),f25(f25(f46(x4951),x4953),x4952)) % 1.63/1.75 [496]~P15(x4961)+E(f25(f25(f46(x4961),x4962),x4963),f25(f25(f46(x4961),x4963),x4962)) % 1.63/1.75 [503]~P23(f25(x5033,x5032))+P23(f25(f25(f66(x5031),x5032),x5033)) % 1.63/1.75 [506]E(x5061,x5062)+~P23(f25(f25(f63(x5063),x5061),x5062)) % 1.63/1.75 [515]P23(f25(x5151,x5152))+~P23(f25(f25(f66(x5153),x5152),x5151)) % 1.63/1.75 [760]E(x7601,x7602)+~E(f25(f3(f66(x7603),x7603,f71(x7603,a1),a1),x7601),f25(f3(f66(x7603),x7603,f71(x7603,a1),a1),x7602)) % 1.63/1.75 [900]E(x9001,x9002)+~E(f25(f25(f45(f71(x9003,a1)),f25(f3(f63(x9003),x9003,x9003,a1),x9001)),f44(f71(x9003,a1))),f25(f25(f45(f71(x9003,a1)),f25(f3(f63(x9003),x9003,x9003,a1),x9002)),f44(f71(x9003,a1)))) % 1.63/1.75 [919]E(f30(f25(f25(f45(f71(x9191,a1)),f25(f3(f63(x9191),x9191,x9191,a1),x9192)),x9193),f25(f25(f45(f71(x9191,a1)),f25(f3(f63(x9191),x9191,x9191,a1),x9192)),f44(f71(x9191,a1))),f71(x9191,a1)),x9193)+P23(f25(f25(f66(x9191),x9192),x9193)) % 1.63/1.75 [943]E(f25(f25(f45(f71(x9431,a1)),f25(f3(f63(x9431),x9431,x9431,a1),x9432)),f30(x9433,f25(f25(f45(f71(x9431,a1)),f25(f3(f63(x9431),x9431,x9431,a1),x9432)),f44(f71(x9431,a1))),f71(x9431,a1))),x9433)+~P23(f25(f25(f66(x9431),x9432),x9433)) % 1.63/1.75 [504]~P15(x5041)+E(f25(f25(f45(x5041),x5042),f25(f25(f46(x5041),x5042),x5043)),x5042) % 1.63/1.75 [505]~P15(x5051)+E(f25(f25(f46(x5051),x5052),f25(f25(f45(x5051),x5052),x5053)),x5052) % 1.63/1.75 [516]~P1(x5161)+E(f25(f25(f45(x5161),x5162),f25(f25(f45(x5161),x5162),x5163)),f25(f25(f45(x5161),x5162),x5163)) % 1.63/1.75 [517]~P15(x5171)+E(f25(f25(f45(x5171),x5172),f25(f25(f45(x5171),x5172),x5173)),f25(f25(f45(x5171),x5172),x5173)) % 1.63/1.75 [518]~P14(x5181)+E(f25(f25(f46(x5181),x5182),f25(f25(f46(x5181),x5182),x5183)),f25(f25(f46(x5181),x5182),x5183)) % 1.63/1.75 [519]~P15(x5191)+E(f25(f25(f46(x5191),x5192),f25(f25(f46(x5191),x5192),x5193)),f25(f25(f46(x5191),x5192),x5193)) % 1.63/1.75 [545]E(x5451,f44(f71(x5452,a1)))+~E(f25(f25(f45(f71(x5452,a1)),x5453),x5451),f44(f71(x5452,a1))) % 1.63/1.75 [546]E(x5461,f44(f71(x5462,a1)))+~E(f25(f25(f45(f71(x5462,a1)),x5461),x5463),f44(f71(x5462,a1))) % 1.63/1.75 [551]~P1(x5511)+P23(f25(f25(f67(x5511),x5512),f25(f25(f45(x5511),x5513),x5512))) % 1.63/1.75 [552]~P15(x5521)+P23(f25(f25(f67(x5521),x5522),f25(f25(f45(x5521),x5523),x5522))) % 1.63/1.75 [553]~P1(x5531)+P23(f25(f25(f67(x5531),x5532),f25(f25(f45(x5531),x5532),x5533))) % 1.63/1.75 [554]~P15(x5541)+P23(f25(f25(f67(x5541),x5542),f25(f25(f45(x5541),x5542),x5543))) % 1.63/1.75 [566]E(f30(x5661,x5662,f71(x5663,a1)),x5661)+~E(f25(f25(f46(f71(x5663,a1)),x5661),x5662),f44(f71(x5663,a1))) % 1.63/1.75 [605]~E(f25(f25(f45(f71(x6051,a1)),x6052),x6053),x6053)+P23(f25(f25(f67(f71(x6051,a1)),x6052),x6053)) % 1.63/1.75 [622]E(f25(f25(f45(f71(x6221,a1)),x6222),x6223),x6223)+~P23(f25(f25(f67(f71(x6221,a1)),x6222),x6223)) % 1.63/1.75 [623]E(f25(f25(f45(f71(x6231,a1)),x6232),x6233),x6232)+~P23(f25(f25(f67(f71(x6231,a1)),x6233),x6232)) % 1.63/1.75 [624]E(f25(f25(f46(f71(x6241,a1)),x6242),x6243),x6243)+~P23(f25(f25(f67(f71(x6241,a1)),x6243),x6242)) % 1.63/1.75 [625]E(f25(f25(f46(f71(x6251,a1)),x6252),x6253),x6252)+~P23(f25(f25(f67(f71(x6251,a1)),x6252),x6253)) % 1.63/1.75 [658]~P23(f25(f25(f48(f71(x6581,a1)),x6582),x6583))+P23(f25(f25(f67(f71(x6581,a1)),x6582),x6583)) % 1.63/1.75 [665]E(f25(f25(f45(f71(x6651,a1)),x6652),f30(x6653,x6652,f71(x6651,a1))),x6653)+~P23(f25(f25(f67(f71(x6651,a1)),x6652),x6653)) % 1.63/1.75 [675]P23(f25(f25(f66(f71(x6751,a1)),x6752),f29(x6753,x6751)))+~P23(f25(f25(f67(f71(x6751,a1)),x6752),x6753)) % 1.63/1.75 [678]~P23(f25(f25(f66(f71(x6781,a1)),x6782),f29(x6783,x6781)))+P23(f25(f25(f67(f71(x6781,a1)),x6782),x6783)) % 1.63/1.75 [684]~P23(f25(f25(f66(x6841),x6842),f7(x6842,x6843,x6841)))+P23(f25(f25(f66(x6841),x6842),f25(f28(f71(x6841,a1)),x6843))) % 1.63/1.75 [686]P23(f25(f25(f66(x6861),x6862),f8(x6862,x6863,x6861)))+~P23(f25(f25(f66(x6861),x6862),f25(f26(f71(x6861,a1)),x6863))) % 1.63/1.75 [700]~P23(f25(f25(f66(f71(x7001,a1)),x7002),x7003))+P23(f25(f25(f67(f71(x7001,a1)),x7002),f25(f26(f71(x7001,a1)),x7003))) % 1.63/1.75 [705]P23(f25(f25(f66(f71(x7051,a1)),f7(x7052,x7053,x7051)),x7053))+P23(f25(f25(f66(x7051),x7052),f25(f28(f71(x7051,a1)),x7053))) % 1.63/1.75 [734]P23(f25(f25(f66(f71(x7341,a1)),f8(x7342,x7343,x7341)),x7343))+~P23(f25(f25(f66(x7341),x7342),f25(f26(f71(x7341,a1)),x7343))) % 1.63/1.75 [904]~P23(f25(f25(f67(f71(x9041,a1)),x9042),x9043))+P23(f25(f25(f67(f71(x9041,a1)),f25(f3(f66(x9041),x9041,f71(x9041,a1),a1),x9042)),f25(f3(f66(x9041),x9041,f71(x9041,a1),a1),x9043))) % 1.63/1.75 [941]P23(f25(f25(f67(f71(x9411,a1)),x9412),x9413))+~P23(f25(f25(f67(f71(x9411,a1)),f25(f3(f66(x9411),x9411,f71(x9411,a1),a1),x9412)),f25(f3(f66(x9411),x9411,f71(x9411,a1),a1),x9413))) % 1.63/1.75 [958]E(x9581,x9582)+~P23(f25(f25(f66(x9583),x9581),f25(f25(f45(f71(x9583,a1)),f25(f3(f63(x9583),x9583,x9583,a1),x9582)),f44(f71(x9583,a1))))) % 1.63/1.75 [609]~P14(x6091)+P23(f25(f25(f67(x6091),f25(f25(f46(x6091),x6092),x6093)),x6093)) % 1.63/1.75 [610]~P15(x6101)+P23(f25(f25(f67(x6101),f25(f25(f46(x6101),x6102),x6103)),x6103)) % 1.63/1.75 [611]~P14(x6111)+P23(f25(f25(f67(x6111),f25(f25(f46(x6111),x6112),x6113)),x6112)) % 1.63/1.75 [612]~P15(x6121)+P23(f25(f25(f67(x6121),f25(f25(f46(x6121),x6122),x6123)),x6122)) % 1.63/1.75 [704]~E(f25(f25(f46(f71(x7041,a1)),f9(x7043,x7042,x7041)),x7043),f44(f71(x7041,a1)))+E(f25(f25(f46(f71(x7041,a1)),f25(f26(f71(x7041,a1)),x7042)),x7043),f44(f71(x7041,a1))) % 1.63/1.75 [719]E(f25(f25(f46(f71(x7191,a1)),f25(f26(f71(x7191,a1)),x7192)),x7193),f44(f71(x7191,a1)))+P23(f25(f25(f66(f71(x7191,a1)),f9(x7193,x7192,x7191)),x7192)) % 1.63/1.75 [732]~P23(f25(f25(f66(f71(x7321,a1)),x7323),x7322))+P23(f25(f25(f67(f71(x7321,a1)),f25(f28(f71(x7321,a1)),x7322)),x7323)) % 1.63/1.75 [794]E(f25(f25(f45(f71(x7941,a1)),f25(f3(f63(x7941),x7941,x7941,a1),x7942)),x7943),x7943)+~P23(f25(f25(f66(x7941),x7942),x7943)) % 1.63/1.75 [950]~P4(x9501)+E(f25(f26(x9501),f25(f25(f45(f71(x9501,a1)),f25(f3(f63(x9501),x9501,x9501,a1),x9502)),f25(f25(f45(f71(x9501,a1)),f25(f3(f63(x9501),x9501,x9501,a1),x9503)),f44(f71(x9501,a1))))),f25(f25(f45(x9501),x9502),x9503)) % 1.63/1.75 [951]~P4(x9511)+E(f25(f28(x9511),f25(f25(f45(f71(x9511,a1)),f25(f3(f63(x9511),x9511,x9511,a1),x9512)),f25(f25(f45(f71(x9511,a1)),f25(f3(f63(x9511),x9511,x9511,a1),x9513)),f44(f71(x9511,a1))))),f25(f25(f46(x9511),x9512),x9513)) % 1.63/1.75 [849]~P4(x8491)+E(f25(f26(x8491),f25(f25(f45(f71(x8491,a1)),f25(f3(f63(x8491),x8491,x8491,a1),x8492)),x8493)),f25(f25(f45(x8491),x8492),f25(f26(x8491),x8493))) % 1.63/1.75 [850]~P4(x8501)+E(f25(f28(x8501),f25(f25(f45(f71(x8501,a1)),f25(f3(f63(x8501),x8501,x8501,a1),x8502)),x8503)),f25(f25(f46(x8501),x8502),f25(f28(x8501),x8503))) % 1.63/1.75 [715]~P7(x7151,x7152,x7153,x7154)+P7(f32(x7151,x7152,x7153,x7154),x7152,x7153,x7154) % 1.63/1.75 [745]P7(x7451,x7452,x7453,x7454)+~P7(f32(x7451,x7452,x7453,x7454),x7452,x7453,x7454) % 1.63/1.75 [779]~P7(x7791,x7792,x7793,x7794)+P11(x7791,x7792,f64(x7791,x7792,x7793,x7794),x7793,x7794) % 1.63/1.75 [585]~P23(f25(f25(x5853,x5852),x5854))+P23(f25(f25(f66(x5851),x5852),f57(x5853,x5854,x5851))) % 1.63/1.75 [586]~P23(f25(f25(x5863,x5864),x5862))+P23(f25(f25(f66(x5861),x5862),f60(x5863,x5864,x5861))) % 1.63/1.75 [587]~P23(f25(f25(x5873,x5872),x5874))+P23(f25(f25(f66(x5871),x5872),f61(x5873,x5874,x5871))) % 1.63/1.75 [588]E(f31(x5881,f27(x5883,f71(x5884,a1),x5882),x5882,f71(x5884,a1)),x5883)+E(x5881,f44(f71(x5882,a1))) % 1.63/1.75 [594]~E(f64(x5943,x5941,x5942,x5944),f44(f71(x5944,a1)))+E(x5941,f44(f71(x5942,a1))) % 1.63/1.75 [618]~P23(f25(f25(f66(x6184),x6183),f60(x6181,x6182,x6184)))+P23(f25(f25(x6181,x6182),x6183)) % 1.63/1.75 [619]~P23(f25(f25(f66(x6194),x6192),f57(x6191,x6193,x6194)))+P23(f25(f25(x6191,x6192),x6193)) % 1.63/1.75 [620]~P23(f25(f25(f66(x6204),x6202),f61(x6201,x6203,x6204)))+P23(f25(f25(x6201,x6202),x6203)) % 1.63/1.75 [713]~P7(x7132,f52(f71(x7131,a1)),x7131,x7133)+E(f25(f47(f52(f71(x7131,a1)),x7132,x7131,x7133),f25(x7132,x7134)),x7134) % 1.63/1.75 [728]~P7(x7281,f52(f71(x7283,a1)),x7283,x7284)+E(f65(x7281,f64(x7281,x7282,x7283,x7284),x7283,x7284),x7282) % 1.63/1.75 [768]~P7(x7682,f52(f71(x7681,a1)),x7681,x7683)+E(f64(f47(f52(f71(x7681,a1)),x7682,x7681,x7683),f64(x7682,x7684,x7681,x7683),x7683,x7681),x7684) % 1.63/1.75 [603]E(f65(f27(x6031,x6032,x6033),x6034,x6033,x6032),f44(f71(x6033,a1)))+P23(f25(f25(f66(x6032),x6031),x6034)) % 1.63/1.75 [616]E(f65(f27(x6161,x6162,x6163),x6164,x6163,x6162),f52(f71(x6163,a1)))+~P23(f25(f25(f66(x6162),x6161),x6164)) % 1.63/1.75 [666]P23(f25(f25(f66(x6661),x6662),x6663))+~P23(f25(f25(f66(x6661),x6662),f30(x6663,x6664,f71(x6661,a1)))) % 1.63/1.75 [676]~P23(f25(f25(f66(x6761),x6762),x6763))+~P23(f25(f25(f66(x6761),x6762),f30(x6764,x6763,f71(x6761,a1)))) % 1.63/1.75 [803]E(x8031,f44(f71(x8032,a1)))+E(f64(f27(x8033,x8034,x8032),x8031,x8032,x8034),f25(f25(f45(f71(x8034,a1)),f25(f3(f63(x8034),x8034,x8034,a1),x8033)),f44(f71(x8034,a1)))) % 1.63/1.75 [811]~P23(f25(f25(f66(f71(x8111,a1)),x8113),f34(x8112,x8114,x8111)))+P23(f25(f25(f66(x8111),f51(x8112,x8113,x8114,x8111)),x8112)) % 1.63/1.75 [853]E(f30(f25(f25(f45(f71(x8531,a1)),f25(f3(f63(x8531),x8531,x8531,a1),x8532)),x8533),x8534,f71(x8531,a1)),f30(x8533,x8534,f71(x8531,a1)))+~P23(f25(f25(f66(x8531),x8532),x8534)) % 1.63/1.75 [893]E(f30(f25(f25(f45(f71(x8931,a1)),f25(f3(f63(x8931),x8931,x8931,a1),x8932)),x8933),x8934,f71(x8931,a1)),f25(f25(f45(f71(x8931,a1)),f25(f3(f63(x8931),x8931,x8931,a1),x8932)),f30(x8933,x8934,f71(x8931,a1))))+P23(f25(f25(f66(x8931),x8932),x8934)) % 1.63/1.75 [928]E(f35(x9281,f30(x9282,f25(f25(f45(f71(x9283,a1)),f25(f3(f63(x9283),x9283,x9283,a1),x9284)),f44(f71(x9283,a1))),f71(x9283,a1)),x9283,a70),f35(x9281,x9282,x9283,a70))+P23(f25(f25(f66(x9283),x9284),x9282)) % 1.63/1.75 [997]P23(f25(f25(f66(f71(x9971,a1)),f54(x9972,f25(f25(f45(f71(x9971,a1)),f25(f3(f63(x9971),x9971,x9971,a1),x9973)),f44(f71(x9971,a1))),x9971,x9971)),f34(x9974,x9972,x9971)))+~P23(f25(f25(f66(x9971),x9973),x9974)) % 1.63/1.75 [547]~P1(x5471)+E(f25(f25(f45(x5471),x5472),f25(f25(f45(x5471),x5473),x5474)),f25(f25(f45(x5471),x5473),f25(f25(f45(x5471),x5472),x5474))) % 1.63/1.75 [548]~P15(x5481)+E(f25(f25(f45(x5481),x5482),f25(f25(f45(x5481),x5483),x5484)),f25(f25(f45(x5481),x5483),f25(f25(f45(x5481),x5482),x5484))) % 1.63/1.75 [549]~P14(x5491)+E(f25(f25(f46(x5491),x5492),f25(f25(f46(x5491),x5493),x5494)),f25(f25(f46(x5491),x5493),f25(f25(f46(x5491),x5492),x5494))) % 1.63/1.75 [550]~P15(x5501)+E(f25(f25(f46(x5501),x5502),f25(f25(f46(x5501),x5503),x5504)),f25(f25(f46(x5501),x5503),f25(f25(f46(x5501),x5502),x5504))) % 1.63/1.75 [607]~P2(x6071)+E(f25(f25(f46(x6071),f25(f25(f45(x6071),x6072),x6073)),f25(f25(f45(x6071),x6072),x6074)),f25(f25(f45(x6071),x6072),f25(f25(f46(x6071),x6073),x6074))) % 1.63/1.75 [608]~P2(x6081)+E(f25(f25(f45(x6081),f25(f25(f46(x6081),x6082),x6083)),f25(f25(f46(x6081),x6082),x6084)),f25(f25(f46(x6081),x6082),f25(f25(f45(x6081),x6083),x6084))) % 1.63/1.75 [923]E(f54(x9231,f25(f25(f45(f71(x9232,a1)),f25(f3(f63(x9232),x9232,x9232,a1),f51(x9233,x9234,x9231,x9232))),f44(f71(x9232,a1))),x9232,x9232),x9234)+~P23(f25(f25(f66(f71(x9232,a1)),x9234),f34(x9233,x9231,x9232))) % 1.63/1.75 [572]~P1(x5721)+E(f25(f25(f45(x5721),f25(f25(f45(x5721),x5722),x5723)),x5724),f25(f25(f45(x5721),x5722),f25(f25(f45(x5721),x5723),x5724))) % 1.63/1.75 [573]~P15(x5731)+E(f25(f25(f45(x5731),f25(f25(f45(x5731),x5732),x5733)),x5734),f25(f25(f45(x5731),x5732),f25(f25(f45(x5731),x5733),x5734))) % 1.63/1.75 [574]~P14(x5741)+E(f25(f25(f46(x5741),f25(f25(f46(x5741),x5742),x5743)),x5744),f25(f25(f46(x5741),x5742),f25(f25(f46(x5741),x5743),x5744))) % 1.63/1.75 [575]~P15(x5751)+E(f25(f25(f46(x5751),f25(f25(f46(x5751),x5752),x5753)),x5754),f25(f25(f46(x5751),x5752),f25(f25(f46(x5751),x5753),x5754))) % 1.63/1.75 [632]~P2(x6321)+E(f25(f25(f46(x6321),f25(f25(f45(x6321),x6322),x6323)),f25(f25(f45(x6321),x6324),x6323)),f25(f25(f45(x6321),f25(f25(f46(x6321),x6322),x6324)),x6323)) % 1.63/1.75 [633]~P2(x6331)+E(f25(f25(f45(x6331),f25(f25(f46(x6331),x6332),x6333)),f25(f25(f46(x6331),x6334),x6333)),f25(f25(f46(x6331),f25(f25(f45(x6331),x6332),x6334)),x6333)) % 1.63/1.75 [636]~P23(f25(x6363,x6364))+P23(f25(f25(f25(f45(f71(x6361,a1)),x6362),x6363),x6364)) % 1.63/1.75 [637]~P23(f25(x6372,x6374))+P23(f25(f25(f25(f45(f71(x6371,a1)),x6372),x6373),x6374)) % 1.63/1.75 [679]~P23(f25(f25(f66(x6791),x6792),x6794))+P23(f25(f25(f66(x6791),x6792),f25(f25(f45(f71(x6791,a1)),x6793),x6794))) % 1.63/1.75 [680]~P23(f25(f25(f66(x6801),x6802),x6803))+P23(f25(f25(f66(x6801),x6802),f25(f25(f45(f71(x6801,a1)),x6803),x6804))) % 1.63/1.75 [695]P23(f25(x6951,x6952))+~P23(f25(f25(f25(f46(f71(x6953,a1)),x6954),x6951),x6952)) % 1.63/1.75 [696]P23(f25(x6961,x6962))+~P23(f25(f25(f25(f46(f71(x6963,a1)),x6961),x6964),x6962)) % 1.63/1.75 [711]P23(f25(x7111,x7112))+~P23(f25(f25(f66(x7113),x7112),f25(f25(f46(f71(x7113,a1)),x7114),x7111))) % 1.63/1.75 [720]P23(f25(f25(f66(x7201),x7202),x7203))+~P23(f25(f25(f66(x7201),x7202),f25(f25(f46(f71(x7201,a1)),x7204),x7203))) % 1.63/1.75 [722]P23(f25(f25(f66(x7221),x7222),x7223))+~P23(f25(f25(f66(x7221),x7222),f25(f25(f46(f71(x7221,a1)),x7223),x7224))) % 1.63/1.75 [755]P23(f25(f25(f67(f71(x7551,a1)),x7552),x7553))+~P23(f25(f25(f67(f71(x7551,a1)),x7552),f25(f25(f46(f71(x7551,a1)),x7554),x7553))) % 1.63/1.75 [756]P23(f25(f25(f67(f71(x7561,a1)),x7562),x7563))+~P23(f25(f25(f67(f71(x7561,a1)),x7562),f25(f25(f46(f71(x7561,a1)),x7563),x7564))) % 1.63/1.75 [785]P23(f25(f25(f67(f71(x7851,a1)),f30(x7852,x7853,f71(x7851,a1))),x7854))+~P23(f25(f25(f67(f71(x7851,a1)),x7852),f25(f25(f45(f71(x7851,a1)),x7853),x7854))) % 1.63/1.75 [789]~P23(f25(f25(f67(f71(x7891,a1)),f30(x7892,x7893,f71(x7891,a1))),x7894))+P23(f25(f25(f67(f71(x7891,a1)),x7892),f25(f25(f45(f71(x7891,a1)),x7893),x7894))) % 1.63/1.75 [807]~P15(x8071)+P23(f25(f25(f67(x8071),f25(f25(f45(x8071),x8072),f25(f25(f46(x8071),x8073),x8074))),f25(f25(f46(x8071),f25(f25(f45(x8071),x8072),x8073)),f25(f25(f45(x8071),x8072),x8074)))) % 1.63/1.75 [831]~P15(x8311)+P23(f25(f25(f67(x8311),f25(f25(f45(x8311),f25(f25(f46(x8311),x8312),x8313)),f25(f25(f46(x8311),x8312),x8314))),f25(f25(f46(x8311),x8312),f25(f25(f45(x8311),x8313),x8314)))) % 1.63/1.75 [750]E(f25(f25(f45(f71(x7501,a1)),f25(f25(f46(f71(x7501,a1)),x7502),x7503)),x7504),f25(f25(f46(f71(x7501,a1)),x7502),f25(f25(f45(f71(x7501,a1)),x7503),x7504)))+~P23(f25(f25(f67(f71(x7501,a1)),x7504),x7502)) % 1.63/1.75 [780]~E(f25(f25(f45(f71(x7801,a1)),f25(f25(f46(f71(x7801,a1)),x7803),x7804)),x7802),f25(f25(f46(f71(x7801,a1)),x7803),f25(f25(f45(f71(x7801,a1)),x7804),x7802)))+P23(f25(f25(f67(f71(x7801,a1)),x7802),x7803)) % 1.63/1.75 [800]P23(f25(f25(f67(f71(x8001,a1)),x8002),x8003))+~P23(f25(f25(f67(f71(x8001,a1)),f25(f25(f45(f71(x8001,a1)),x8004),x8002)),x8003)) % 1.63/1.75 [801]P23(f25(f25(f67(f71(x8011,a1)),x8012),x8013))+~P23(f25(f25(f67(f71(x8011,a1)),f25(f25(f45(f71(x8011,a1)),x8012),x8014)),x8013)) % 1.63/1.75 [857]P23(f25(f25(f66(x8571),x8573),x8572))+E(f25(f25(f46(f71(x8571,a1)),x8572),f25(f25(f45(f71(x8571,a1)),f25(f3(f63(x8571),x8571,x8571,a1),x8573)),x8574)),f25(f25(f46(f71(x8571,a1)),x8572),x8574)) % 1.63/1.75 [902]~P23(f25(f25(f66(x9021),x9023),x9022))+E(f25(f25(f46(f71(x9021,a1)),x9022),f25(f25(f45(f71(x9021,a1)),f25(f3(f63(x9021),x9021,x9021,a1),x9023)),x9024)),f25(f25(f45(f71(x9021,a1)),f25(f3(f63(x9021),x9021,x9021,a1),x9023)),f25(f25(f46(f71(x9021,a1)),x9022),x9024))) % 1.63/1.75 [924]~P23(f25(f25(f67(f71(x9241,a1)),x9242),x9244))+P23(f25(f25(f67(f71(x9241,a1)),x9242),f25(f25(f45(f71(x9241,a1)),f25(f3(f63(x9241),x9241,x9241,a1),x9243)),x9244))) % 1.63/1.75 [985]~P23(f25(f25(f67(f71(x9851,a1)),x9853),x9854))+P23(f25(f25(f67(f71(x9851,a1)),f25(f25(f45(f71(x9851,a1)),f25(f3(f63(x9851),x9851,x9851,a1),x9852)),x9853)),f25(f25(f45(f71(x9851,a1)),f25(f3(f63(x9851),x9851,x9851,a1),x9852)),x9854))) % 1.63/1.75 [920]P23(f25(f25(f66(x9201),x9202),x9204))+E(f25(f25(f46(f71(x9201,a1)),f25(f25(f45(f71(x9201,a1)),f25(f3(f63(x9201),x9201,x9201,a1),x9202)),x9203)),x9204),f25(f25(f46(f71(x9201,a1)),x9203),x9204)) % 1.63/1.75 [944]~P23(f25(f25(f66(x9441),x9442),x9444))+E(f25(f25(f46(f71(x9441,a1)),f25(f25(f45(f71(x9441,a1)),f25(f3(f63(x9441),x9441,x9441,a1),x9442)),x9443)),x9444),f25(f25(f45(f71(x9441,a1)),f25(f3(f63(x9441),x9441,x9441,a1),x9442)),f25(f25(f46(f71(x9441,a1)),x9443),x9444))) % 1.63/1.75 [986]P23(f25(f25(f66(x9861),x9862),x9863))+~P23(f25(f25(f67(f71(x9861,a1)),f25(f25(f45(f71(x9861,a1)),f25(f3(f63(x9861),x9861,x9861,a1),x9862)),x9864)),x9863)) % 1.63/1.75 [782]P7(x7821,x7822,x7823,x7824)+~P11(x7821,x7822,x7825,x7823,x7824) % 1.63/1.75 [771]~E(f33(x7711,x7712,x7713,x7714,x7715),x7711)+E(f25(x7711,x7712),x7713) % 1.63/1.75 [783]~P11(x7831,x7832,x7835,x7833,x7834)+E(f64(x7831,x7832,x7833,x7834),x7835) % 1.63/1.75 [829]~P11(x8292,x8291,x8295,x8293,x8294)+P11(f47(x8291,x8292,x8293,x8294),x8295,x8291,x8294,x8293) % 1.63/1.75 [830]~P11(x8301,x8302,x8305,x8303,x8304)+P11(f32(x8301,x8302,x8303,x8304),x8302,x8305,x8303,x8304) % 1.63/1.75 [843]P11(x8431,x8432,x8433,x8434,x8435)+~P11(f32(x8431,x8432,x8434,x8435),x8432,x8433,x8434,x8435) % 1.63/1.75 [674]~P7(x6741,x6742,x6744,x6745)+P7(x6741,f30(x6742,x6743,f71(x6744,a1)),x6744,x6745) % 1.63/1.75 [718]~P23(f25(x7182,f25(x7181,x7185)))+P23(f25(f65(x7181,x7182,x7183,x7184),x7185)) % 1.63/1.75 [759]P23(f25(x7591,f25(x7592,x7593)))+~P23(f25(f65(x7592,x7591,x7594,x7595),x7593)) % 1.63/1.75 [763]~P23(f25(f25(f66(x7634),x7633),f58(x7631,x7632,x7635,x7634)))+P23(f25(f25(x7631,x7632),x7633)) % 1.63/1.75 [764]~P23(f25(f25(f66(x7644),x7643),f62(x7641,x7642,x7645,x7644)))+P23(f25(f25(x7641,x7642),x7643)) % 1.63/1.75 [765]~P23(f25(f25(f66(x7654),x7652),f58(x7651,x7655,x7653,x7654)))+P23(f25(f25(x7651,x7652),x7653)) % 1.63/1.75 [766]~P23(f25(f25(f66(x7664),x7662),f62(x7661,x7665,x7663,x7664)))+P23(f25(f25(x7661,x7662),x7663)) % 1.63/1.75 [805]P7(f47(x8051,x8052,x8053,x8054),x8055,x8054,x8053)+~P23(f25(f25(f67(f71(x8054,a1)),x8055),f64(x8052,x8051,x8053,x8054))) % 1.63/1.75 [922]E(x9221,x9222)+~P8(x9223,x9222,f44(f71(x9224,a1)),x9221,x9224,x9225) % 1.63/1.75 [631]E(f25(f32(x6311,x6312,x6313,x6314),x6315),f49(x6314))+P23(f25(f25(f66(x6313),x6315),x6312)) % 1.63/1.75 [645]E(f25(f32(x6451,x6452,x6453,x6454),x6455),f25(x6451,x6455))+~P23(f25(f25(f66(x6453),x6455),x6452)) % 1.63/1.75 [723]E(f25(f25(f45(f71(x7231,a1)),f25(x7232,x7233)),f31(x7234,x7232,x7235,f71(x7231,a1))),f31(x7234,x7232,x7235,f71(x7231,a1)))+~P23(f25(f25(f66(x7235),x7233),x7234)) % 1.63/1.75 [741]P23(f25(f25(f66(x7411),f25(x7412,x7413)),f64(x7412,x7414,x7415,x7411)))+~P23(f25(f25(f66(x7415),x7413),x7414)) % 1.63/1.75 [748]P23(f25(f25(f66(x7481),x7482),f65(x7483,x7484,x7481,x7485)))+~P23(f25(f25(f66(x7485),f25(x7483,x7482)),x7484)) % 1.63/1.75 [754]~P23(f25(f25(f66(x7545),x7543),x7544))+P23(f25(f25(f67(f71(x7541,a1)),f25(x7542,x7543)),f31(x7544,x7542,x7545,f71(x7541,a1)))) % 1.63/1.75 [773]~P23(f25(f25(f66(x7735),x7733),f65(x7732,x7734,x7735,x7731)))+P23(f25(f25(f66(x7731),f25(x7732,x7733)),x7734)) % 1.63/1.75 [774]~P7(x7741,f52(f71(x7743,a1)),x7743,x7744)+E(f30(f64(x7741,x7742,x7743,x7744),f64(x7741,x7745,x7743,x7744),f71(x7744,a1)),f64(x7741,f30(x7742,x7745,f71(x7743,a1)),x7743,x7744)) % 1.63/1.75 [804]E(f25(x8041,f25(f47(x8042,x8041,x8043,x8044),x8045)),x8045)+~P23(f25(f25(f66(x8044),x8045),f64(x8041,x8042,x8043,x8044))) % 1.63/1.75 [808]E(f64(f27(x8081,x8082,x8083),x8084,x8083,x8082),f25(f25(f45(f71(x8082,a1)),f25(f3(f63(x8082),x8082,x8082,a1),x8081)),f44(f71(x8082,a1))))+~P23(f25(f25(f66(x8083),x8085),x8084)) % 1.63/1.75 [820]E(f25(f25(f45(f71(x8201,a1)),f25(f3(f63(x8201),x8201,x8201,a1),f25(x8202,x8203))),f64(x8202,x8204,x8205,x8201)),f64(x8202,x8204,x8205,x8201))+~P23(f25(f25(f66(x8205),x8203),x8204)) % 1.63/1.75 [879]P23(f25(f25(f66(f73(x8791,x8792)),f55(x8793,x8794,x8791,x8792)),f53(x8795,x8792,x8791)))+~P23(f25(f25(f66(f73(x8792,x8791)),f55(x8794,x8793,x8792,x8791)),x8795)) % 1.63/1.75 [880]~P23(f25(f25(f66(f73(x8802,x8801)),f55(x8804,x8803,x8802,x8801)),f53(x8805,x8801,x8802)))+P23(f25(f25(f66(f73(x8801,x8802)),f55(x8803,x8804,x8801,x8802)),x8805)) % 1.63/1.75 [938]P23(f25(f25(f66(f71(x9381,x9385)),x9384),f36(x9382,x9383,x9381,x9385)))+P23(f25(f25(f66(x9381),f39(x9382,x9383,x9384,x9381,x9385)),x9382)) % 1.63/1.75 [939]P23(f25(f25(f66(f71(x9391,x9395)),x9394),f36(x9392,x9393,x9391,x9395)))+P23(f25(f25(f66(x9391),f40(x9392,x9393,x9394,x9391,x9395)),x9392)) % 1.63/1.75 [946]P23(f25(f25(f66(f71(x9461,x9465)),f32(x9464,x9462,x9461,x9465)),f36(x9462,x9463,x9461,x9465)))+P23(f25(f25(f66(x9461),f42(x9462,x9463,x9464,x9461,x9465)),x9462)) % 1.63/1.75 [999]P23(f25(f25(f66(f71(x9991,x9992)),x9993),f36(x9994,x9995,x9991,x9992)))+~P23(f25(f25(f66(x9992),f25(x9993,f39(x9994,x9995,x9993,x9991,x9992))),f25(x9995,f39(x9994,x9995,x9993,x9991,x9992)))) % 1.63/1.75 [1000]P23(f25(f25(f66(f71(x10001,x10002)),x10003),f36(x10004,x10005,x10001,x10002)))+~P23(f25(f25(f66(x10002),f25(x10003,f40(x10004,x10005,x10003,x10001,x10002))),f25(x10005,f40(x10004,x10005,x10003,x10001,x10002)))) % 1.63/1.75 [1003]P23(f25(f25(f66(f71(x10031,x10032)),f32(x10033,x10034,x10031,x10032)),f36(x10034,x10035,x10031,x10032)))+~P23(f25(f25(f66(x10032),f25(x10033,f42(x10034,x10035,x10033,x10031,x10032))),f25(x10035,f42(x10034,x10035,x10033,x10031,x10032)))) % 1.63/1.75 [706]P7(x7061,x7062,x7063,x7064)+~P7(x7061,f25(f25(f45(f71(x7063,a1)),x7065),x7062),x7063,x7064) % 1.63/1.75 [707]P7(x7071,x7072,x7073,x7074)+~P7(x7071,f25(f25(f45(f71(x7073,a1)),x7072),x7075),x7073,x7074) % 1.63/1.75 [826]~P7(x8262,f25(f25(f45(f71(x8265,a1)),x8263),x8264),x8265,x8261)+E(f25(f25(f46(f71(x8261,a1)),f64(x8262,f30(x8263,x8264,f71(x8265,a1)),x8265,x8261)),f64(x8262,f30(x8264,x8263,f71(x8265,a1)),x8265,x8261)),f44(f71(x8261,a1))) % 1.63/1.75 [836]P23(f25(f25(f67(f71(x8361,a1)),f64(x8362,x8363,x8364,x8361)),f64(x8362,x8365,x8364,x8361)))+~P23(f25(f25(f67(f71(x8364,a1)),x8363),x8365)) % 1.63/1.75 [837]P23(f25(f25(f67(f71(x8371,a1)),f65(x8372,x8373,x8371,x8374)),f65(x8372,x8375,x8371,x8374)))+~P23(f25(f25(f67(f71(x8374,a1)),x8373),x8375)) % 1.63/1.75 [841]~P11(x8413,x8414,x8415,x8411,x8412)+P23(f25(f25(f66(f71(x8411,x8412)),x8413),f36(x8414,f27(x8415,f71(x8412,a1),x8411),x8411,x8412))) % 1.63/1.75 [863]P23(f25(f25(f67(f71(x8631,a1)),f64(x8632,x8633,x8634,x8631)),x8635))+~P23(f25(f25(f66(f71(x8634,x8631)),x8632),f36(x8633,f27(x8635,f71(x8631,a1),x8634),x8634,x8631))) % 1.63/1.75 [877]~P23(f25(f25(f66(x8774),x8775),f64(x8773,x8772,x8771,x8774)))+P23(f25(f25(f66(x8771),f25(f47(x8772,x8773,x8771,x8774),x8775)),x8772)) % 1.63/1.75 [909]~P11(x9092,x9091,x9095,x9093,x9094)+E(f32(f19(f32(f47(x9091,x9092,x9093,x9094),x9095,x9094,x9093),x9092,x9094,x9093,x9093),x9091,x9093,x9093),f32(f2(x9093),x9091,x9093,x9093)) % 1.63/1.75 [945]P23(f25(f25(f66(x9451),f41(x9452,x9453,x9454,x9451,x9455)),x9452))+P23(f25(f25(f66(f71(x9451,x9455)),x9454),f36(x9452,f27(x9453,f71(x9455,a1),x9451),x9451,x9455))) % 1.63/1.75 [953]P23(f25(f25(f66(x9531),f43(x9532,x9533,x9534,x9531,x9535)),x9532))+P23(f25(f25(f66(f71(x9531,x9535)),f32(x9534,x9532,x9531,x9535)),f36(x9532,f27(x9533,f71(x9535,a1),x9531),x9531,x9535))) % 1.63/1.75 [992]~P23(f25(f25(f66(x9922),f25(x9923,f41(x9924,x9925,x9923,x9921,x9922))),x9925))+P23(f25(f25(f66(f71(x9921,x9922)),x9923),f36(x9924,f27(x9925,f71(x9922,a1),x9921),x9921,x9922))) % 1.63/1.75 [995]~P23(f25(f25(f66(x9952),f25(x9953,f43(x9954,x9955,x9953,x9951,x9952))),x9955))+P23(f25(f25(f66(f71(x9951,x9952)),f32(x9953,x9954,x9951,x9952)),f36(x9954,f27(x9955,f71(x9952,a1),x9951),x9951,x9952))) % 1.63/1.75 [802]~P7(x8022,f52(f71(x8024,a1)),x8024,x8021)+E(f25(f25(f46(f71(x8021,a1)),f64(x8022,x8023,x8024,x8021)),f64(x8022,x8025,x8024,x8021)),f64(x8022,f25(f25(f46(f71(x8024,a1)),x8023),x8025),x8024,x8021)) % 1.63/1.75 [979]~P23(f25(f25(f66(f73(x9794,x9791)),f55(x9795,x9792,x9794,x9791)),x9793))+P23(f25(f25(f66(x9791),x9792),f54(x9793,f25(f25(f45(f71(x9794,a1)),f25(f3(f63(x9794),x9794,x9794,a1),x9795)),f44(f71(x9794,a1))),x9794,x9791))) % 1.63/1.75 [990]E(f25(x9901,x9902),x9903)+~P23(f25(f25(f66(x9904),x9902),f65(x9901,f25(f25(f45(f71(x9905,a1)),f25(f3(f63(x9905),x9905,x9905,a1),x9903)),f44(f71(x9905,a1))),x9904,x9905))) % 1.63/1.75 [991]P23(f25(f25(f66(f73(x9911,x9912)),f55(x9913,x9914,x9911,x9912)),x9915))+~P23(f25(f25(f66(x9912),x9914),f54(x9915,f25(f25(f45(f71(x9911,a1)),f25(f3(f63(x9911),x9911,x9911,a1),x9913)),f44(f71(x9911,a1))),x9911,x9912))) % 1.63/1.75 [1007]~P7(x10071,f25(f25(f45(f71(x10072,a1)),f25(f3(f63(x10072),x10072,x10072,a1),x10073)),x10074),x10072,x10075)+~P23(f25(f25(f66(x10075),f25(x10071,x10073)),f64(x10071,f30(x10074,f25(f25(f45(f71(x10072,a1)),f25(f3(f63(x10072),x10072,x10072,a1),x10073)),f44(f71(x10072,a1))),f71(x10072,a1)),x10072,x10075))) % 1.63/1.75 [672]E(x6721,x6722)+~E(f55(x6723,x6721,x6724,x6725),f55(x6726,x6722,x6724,x6725)) % 1.63/1.75 [673]E(x6731,x6732)+~E(f55(x6731,x6733,x6734,x6735),f55(x6732,x6736,x6734,x6735)) % 1.63/1.75 [796]E(x7961,x7962)+E(f25(f33(x7963,x7961,x7964,x7965,x7966),x7962),f25(x7963,x7962)) % 1.63/1.75 [864]~P23(f25(f25(f66(f73(x8645,x8641)),f55(x8644,x8642,x8645,x8641)),f56(x8646,x8643,x8645,x8641)))+P23(f25(f25(f66(x8641),x8642),f25(x8643,x8644))) % 1.63/1.75 [910]~P23(f25(f25(f66(x9104),x9103),f59(x9101,x9105,x9102,x9106,x9104)))+P23(f25(f25(x9101,x9102),x9103)) % 1.63/1.75 [911]~P23(f25(f25(f66(x9114),x9112),f59(x9115,x9111,x9116,x9113,x9114)))+P23(f25(f25(x9111,x9112),x9113)) % 1.63/1.75 [815]E(f64(f33(x8151,x8152,x8153,x8154,x8155),x8156,x8154,x8155),f64(x8151,x8156,x8154,x8155))+P23(f25(f25(f66(x8154),x8152),x8156)) % 1.63/1.75 [862]~P23(f25(f25(f66(f73(x8621,x8624)),f55(x8622,x8625,x8621,x8624)),f56(x8623,x8626,x8621,x8624)))+P23(f25(f25(f66(x8621),x8622),x8623)) % 1.63/1.75 [984]E(f25(f25(f45(f71(x9841,a1)),f25(f3(f63(x9841),x9841,x9841,a1),x9842)),f64(x9843,f30(x9844,f25(f25(f45(f71(x9845,a1)),f25(f3(f63(x9845),x9845,x9845,a1),x9846)),f44(f71(x9845,a1))),f71(x9845,a1)),x9845,x9841)),f64(f33(x9843,x9846,x9842,x9845,x9841),x9844,x9845,x9841))+~P23(f25(f25(f66(x9845),x9846),x9844)) % 1.63/1.75 [698]~P12(x6981,x6983,x6985,x6986)+E(f25(f25(x6981,f27(f25(x6982,f25(x6983,x6984)),x6985,x6985)),x6984),f25(f25(x6981,x6982),x6984)) % 1.63/1.75 [903]E(x9031,x9032)+E(f33(f33(x9033,x9031,x9034,x9035,x9036),x9032,x9037,x9035,x9036),f33(f33(x9033,x9032,x9037,x9035,x9036),x9031,x9034,x9035,x9036)) % 1.63/1.75 [868]E(f25(f32(f19(x8681,x8682,x8683,x8684,x8685),x8686,x8685,x8684),x8687),f25(x8681,f25(x8682,x8687)))+~P23(f25(f25(f66(x8685),x8687),x8686)) % 1.63/1.75 [1038]~P10(x10382,x10381,x10383,x10385,x10387,x10386,x10389,x10388,x10384)+P10(x10381,x10382,f3(x10383,x10384,x10384,a1),f3(x10385,x10384,x10384,a1),x10386,x10387,x10388,x10389,x10384) % 1.63/1.75 [1026]~P10(x10264,x10261,x10265,x10266,x10267,x10268,x10269,x10263,x10262)+E(f25(x10261,f52(f71(x10262,a1))),x10263) % 1.63/1.75 [1027]~P10(x10271,x10274,x10275,x10276,x10277,x10278,x10273,x10279,x10272)+E(f25(x10271,f52(f71(x10272,a1))),x10273) % 1.63/1.75 [1028]~P10(x10284,x10281,x10285,x10286,x10287,x10288,x10283,x10289,x10282)+E(f25(x10281,f44(f71(x10282,a1))),x10283) % 1.63/1.75 [1029]~P10(x10291,x10294,x10295,x10296,x10297,x10298,x10299,x10293,x10292)+E(f25(x10291,f44(f71(x10292,a1))),x10293) % 1.63/1.75 [1034]~P10(x10344,x10341,x10345,x10346,x10347,x10348,x10349,x103410,x10342)+E(f25(x10341,f25(f25(f45(f71(x10342,a1)),f25(f3(f63(x10342),x10342,x10342,a1),x10343)),f44(f71(x10342,a1)))),x10343) % 1.63/1.75 [1035]~P10(x10351,x10354,x10355,x10356,x10357,x10358,x10359,x103510,x10352)+E(f25(x10351,f25(f25(f45(f71(x10352,a1)),f25(f3(f63(x10352),x10352,x10352,a1),x10353)),f44(f71(x10352,a1)))),x10353) % 1.63/1.75 [1036]~P10(x10366,x10361,x10367,x10368,x10369,x10365,x103610,x103611,x10362)+E(f25(x10361,f25(f25(f45(f71(x10362,a1)),f25(f3(f63(x10362),x10362,x10362,a1),x10363)),f25(f25(f45(f71(x10362,a1)),f25(f3(f63(x10362),x10362,x10362,a1),x10364)),f44(f71(x10362,a1))))),f25(f25(x10365,x10363),x10364)) % 1.63/1.75 [1037]~P10(x10371,x10376,x10377,x10378,x10375,x10379,x103710,x103711,x10372)+E(f25(x10371,f25(f25(f45(f71(x10372,a1)),f25(f3(f63(x10372),x10372,x10372,a1),x10373)),f25(f25(f45(f71(x10372,a1)),f25(f3(f63(x10372),x10372,x10372,a1),x10374)),f44(f71(x10372,a1))))),f25(f25(x10375,x10373),x10374)) % 1.63/1.75 [1032]~P10(x10326,x10321,x10327,x10328,x10329,x10325,x103210,x103211,x10322)+E(f25(x10321,f25(f25(f45(f71(x10322,a1)),f25(f3(f63(x10322),x10322,x10322,a1),x10323)),x10324)),f25(f25(x10325,x10323),f25(x10321,x10324))) % 1.63/1.75 [1033]~P10(x10331,x10336,x10337,x10338,x10335,x10339,x103310,x103311,x10332)+E(f25(x10331,f25(f25(f45(f71(x10332,a1)),f25(f3(f63(x10332),x10332,x10332,a1),x10333)),x10334)),f25(f25(x10335,x10333),f25(x10331,x10334))) % 1.63/1.75 [489]~P13(x4892)+E(x4891,f52(x4892))+~E(f25(f25(f46(x4892),x4893),x4891),f52(x4892)) % 1.63/1.75 [490]~P13(x4902)+E(x4901,f44(x4902))+~E(f25(f25(f45(x4902),x4903),x4901),f44(x4902)) % 1.63/1.75 [491]~P13(x4912)+E(x4911,f52(x4912))+~E(f25(f25(f46(x4912),x4911),x4913),f52(x4912)) % 1.63/1.75 [492]~P13(x4922)+E(x4921,f44(x4922))+~E(f25(f25(f45(x4922),x4921),x4923),f44(x4922)) % 1.63/1.75 [512]~P1(x5121)+~E(f25(f25(f45(x5121),x5122),x5123),x5123)+P23(f25(f25(f67(x5121),x5122),x5123)) % 1.63/1.75 [513]~P14(x5131)+~E(f25(f25(f46(x5131),x5132),x5133),x5132)+P23(f25(f25(f67(x5131),x5132),x5133)) % 1.63/1.75 [520]~P17(x5201)+P23(f25(f25(f67(x5201),x5203),x5202))+P23(f25(f25(f67(x5201),x5202),x5203)) % 1.63/1.75 [523]~P17(x5231)+P23(f25(f25(f48(x5231),x5233),x5232))+P23(f25(f25(f67(x5231),x5232),x5233)) % 1.63/1.75 [530]~P1(x5301)+E(f25(f25(f45(x5301),x5302),x5303),x5303)+~P23(f25(f25(f67(x5301),x5302),x5303)) % 1.63/1.75 [531]~P1(x5311)+E(f25(f25(f45(x5311),x5312),x5313),x5312)+~P23(f25(f25(f67(x5311),x5313),x5312)) % 1.63/1.75 [532]~P14(x5321)+E(f25(f25(f46(x5321),x5322),x5323),x5323)+~P23(f25(f25(f67(x5321),x5323),x5322)) % 1.63/1.75 [533]~P14(x5331)+E(f25(f25(f46(x5331),x5332),x5333),x5332)+~P23(f25(f25(f67(x5331),x5332),x5333)) % 1.63/1.75 [535]~P16(x5351)+~P23(f25(f25(f48(x5351),x5352),x5353))+P23(f25(f25(f67(x5351),x5352),x5353)) % 1.63/1.75 [536]~P21(x5361)+~P23(f25(f25(f48(x5361),x5362),x5363))+P23(f25(f25(f67(x5361),x5362),x5363)) % 1.63/1.75 [555]~P16(x5551)+~P23(f25(f25(f48(x5551),x5553),x5552))+~P23(f25(f25(f48(x5551),x5552),x5553)) % 1.63/1.75 [556]~P21(x5561)+~P23(f25(f25(f48(x5561),x5563),x5562))+~P23(f25(f25(f67(x5561),x5562),x5563)) % 1.63/1.75 [558]~P21(x5581)+~P23(f25(f25(f48(x5581),x5583),x5582))+~P23(f25(f25(f48(x5581),x5582),x5583)) % 1.63/1.75 [560]~P17(x5601)+~P23(f25(f25(f48(x5601),x5603),x5602))+~P23(f25(f25(f67(x5601),x5602),x5603)) % 1.63/1.75 [562]~P17(x5621)+~P23(f25(f25(f48(x5621),x5623),x5622))+~P23(f25(f25(f48(x5621),x5622),x5623)) % 1.63/1.75 [567]~P4(x5671)+~P23(f25(f25(f66(x5671),x5672),x5673))+P23(f25(f25(f67(x5671),x5672),f25(f26(x5671),x5673))) % 1.63/1.75 [615]~P4(x6151)+~P23(f25(f25(f67(x6151),f25(x6152,x6153)),x6153))+P23(f25(f25(f67(x6151),f50(x6152,x6151)),x6153)) % 1.63/1.75 [576]~P4(x5761)+~P23(f25(f25(f66(x5761),x5763),x5762))+P23(f25(f25(f67(x5761),f25(f28(x5761),x5762)),x5763)) % 1.63/1.75 [660]E(x6601,x6602)+~P23(f25(f25(f67(f71(x6603,a1)),x6601),x6602))+P23(f25(f25(f48(f71(x6603,a1)),x6601),x6602)) % 1.63/1.75 [688]E(x6881,x6882)+~P23(f25(f25(f67(f71(x6883,a1)),x6882),x6881))+~P23(f25(f25(f67(f71(x6883,a1)),x6881),x6882)) % 1.63/1.75 [963]E(x9631,f44(f71(x9632,a1)))+E(x9631,f25(f25(f45(f71(x9632,a1)),f25(f3(f63(x9632),x9632,x9632,a1),x9633)),f44(f71(x9632,a1))))+~P23(f25(f25(f67(f71(x9632,a1)),x9631),f25(f25(f45(f71(x9632,a1)),f25(f3(f63(x9632),x9632,x9632,a1),x9633)),f44(f71(x9632,a1))))) % 1.63/1.75 [776]E(x7761,x7762)+P23(f25(f25(f66(f71(f73(a68,a68),a1)),f22(x7763,x7761,x7762)),a4))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x7763),a4)) % 1.63/1.75 [777]E(x7771,x7772)+P23(f25(f25(f66(f71(f73(a68,a68),a1)),f23(x7773,x7771,x7772)),a4))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x7773),a4)) % 1.63/1.75 [821]E(x8211,x8212)+P23(f25(f25(f66(f73(a68,a68)),f55(x8212,x8211,a68,a68)),f23(x8213,x8212,x8211)))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8213),a4)) % 1.63/1.75 [822]E(x8221,x8222)+P23(f25(f25(f66(f73(a68,a68)),f55(x8221,x8222,a68,a68)),f22(x8223,x8221,x8222)))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8223),a4)) % 1.63/1.75 [913]~P23(f25(f25(f66(f73(a68,a68)),f55(x9133,x9132,a68,a68)),x9131))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9132,x9133,a68,a68)),x9131))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x9131),a4)) % 1.63/1.75 [510]~P19(x5104)+E(x5101,x5102)+~E(f30(x5103,x5103,x5104),f30(x5101,x5102,x5104)) % 1.63/1.75 [511]~P19(x5113)+E(x5111,x5112)+~E(f30(x5111,x5112,x5113),f30(x5114,x5114,x5113)) % 1.63/1.75 [571]~P4(x5714)+E(f31(x5711,f27(x5713,x5714,x5712),x5712,x5714),x5713)+E(x5711,f44(f71(x5712,a1))) % 1.63/1.75 [595]~P23(f25(x5951,x5954))+P23(f25(x5951,f5(x5952,x5951,x5953)))+~P23(f25(f25(f66(x5953),x5954),x5952)) % 1.63/1.75 [596]~P23(f25(x5961,x5964))+P23(f25(x5961,f15(x5962,x5961,x5963)))+~P23(f25(f25(f66(x5963),x5964),x5962)) % 1.63/1.75 [597]~P23(f25(x5971,x5974))+P23(f25(x5971,f16(x5972,x5971,x5973)))+~P23(f25(f25(f66(x5973),x5974),x5972)) % 1.63/1.75 [598]~P23(f25(x5981,x5984))+P23(f25(x5981,f17(x5982,x5981,x5983)))+~P23(f25(f25(f66(x5983),x5984),x5982)) % 1.63/1.75 [617]P23(f25(x6171,x6172))+~P23(f25(x6171,f6(x6173,x6171,x6174)))+~P23(f25(f25(f66(x6174),x6172),x6173)) % 1.63/1.75 [644]~P23(f25(f25(f66(x6441),x6442),x6444))+P23(f25(f25(f66(x6441),x6442),x6443))+P23(f25(f25(f66(x6441),x6442),f30(x6444,x6443,f71(x6441,a1)))) % 1.63/1.75 [657]P23(f25(x6571,x6572))+P23(f25(f25(f66(x6573),f6(x6574,x6571,x6573)),x6574))+~P23(f25(f25(f66(x6573),x6572),x6574)) % 1.63/1.75 [661]~P23(f25(x6613,x6614))+~P23(f25(f25(f66(x6611),x6614),x6612))+P23(f25(f25(f66(x6611),f5(x6612,x6613,x6611)),x6612)) % 1.63/1.75 [662]~P23(f25(x6623,x6624))+~P23(f25(f25(f66(x6621),x6624),x6622))+P23(f25(f25(f66(x6621),f15(x6622,x6623,x6621)),x6622)) % 1.63/1.75 [663]~P23(f25(x6633,x6634))+~P23(f25(f25(f66(x6631),x6634),x6632))+P23(f25(f25(f66(x6631),f16(x6632,x6633,x6631)),x6632)) % 1.63/1.75 [664]~P23(f25(x6643,x6644))+~P23(f25(f25(f66(x6641),x6644),x6642))+P23(f25(f25(f66(x6641),f17(x6642,x6643,x6641)),x6642)) % 1.63/1.75 [874]E(x8741,x8742)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8743,x8741,a68,a68)),f24(x8744,x8742)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8743,x8741,a68,a68)),x8744)) % 1.63/1.75 [875]E(x8751,x8752)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8751,x8753,a68,a68)),f21(x8754,x8752)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8751,x8753,a68,a68)),x8754)) % 1.63/1.75 [599]~P1(x5991)+~P23(f25(f25(f67(x5991),x5992),x5994))+P23(f25(f25(f67(x5991),x5992),f25(f25(f45(x5991),x5993),x5994))) % 1.63/1.75 [600]~P1(x6001)+~P23(f25(f25(f67(x6001),x6002),x6003))+P23(f25(f25(f67(x6001),x6002),f25(f25(f45(x6001),x6003),x6004))) % 1.63/1.75 [601]~P1(x6011)+~P23(f25(f25(f48(x6011),x6012),x6014))+P23(f25(f25(f48(x6011),x6012),f25(f25(f45(x6011),x6013),x6014))) % 1.63/1.75 [602]~P1(x6021)+~P23(f25(f25(f48(x6021),x6022),x6023))+P23(f25(f25(f48(x6021),x6022),f25(f25(f45(x6021),x6023),x6024))) % 1.63/1.75 [614]P23(f25(x6141,x6142))+~P23(f25(x6143,x6142))+~P23(f25(f25(f67(f71(x6144,a1)),x6143),x6141)) % 1.63/1.75 [627]~P14(x6271)+P23(f25(f25(f67(x6271),x6272),x6273))+~P23(f25(f25(f67(x6271),x6272),f25(f25(f46(x6271),x6274),x6273))) % 1.63/1.75 [629]~P14(x6291)+P23(f25(f25(f67(x6291),x6292),x6293))+~P23(f25(f25(f67(x6291),x6292),f25(f25(f46(x6291),x6293),x6294))) % 1.63/1.75 [630]~E(f25(f25(f46(f71(x6301,a1)),x6302),x6303),f44(f71(x6301,a1)))+~P23(f25(f25(f66(x6301),x6304),x6302))+~P23(f25(f25(f66(x6301),x6304),x6303)) % 1.63/1.75 [655]P23(f25(f25(f66(x6551),x6552),x6553))+~P23(f25(f25(f66(x6551),x6552),x6554))+~P23(f25(f25(f67(f71(x6551,a1)),x6554),x6553)) % 1.63/1.75 [656]P23(f25(f25(f66(x6561),x6562),x6563))+~P23(f25(f25(f66(x6561),x6562),x6564))+~P23(f25(f25(f48(f71(x6561,a1)),x6564),x6563)) % 1.63/1.75 [677]~P3(x6772)+~P23(f25(f25(f48(f71(x6771,x6772)),x6773),x6774))+P23(f25(f25(f67(f71(x6771,x6772)),x6773),x6774)) % 1.63/1.76 [697]~P23(f25(f25(f66(x6971),x6972),x6974))+~P23(f25(f25(f66(f71(x6971,a1)),x6974),x6973))+P23(f25(f25(f66(x6971),x6972),f25(f26(f71(x6971,a1)),x6973))) % 1.63/1.76 [699]~P3(x6991)+~P23(f25(f25(f48(f71(x6992,x6991)),x6994),x6993))+~P23(f25(f25(f67(f71(x6992,x6991)),x6993),x6994)) % 1.63/1.76 [716]P23(f25(f25(f66(x7161),x7162),x7163))+~P23(f25(f25(f66(x7161),x7162),f25(f28(f71(x7161,a1)),x7164)))+~P23(f25(f25(f66(f71(x7161,a1)),x7163),x7164)) % 1.63/1.76 [717]E(f30(x7171,f30(x7172,x7173,f71(x7174,a1)),f71(x7174,a1)),x7173)+~P23(f25(f25(f67(f71(x7174,a1)),x7173),x7171))+~P23(f25(f25(f67(f71(x7174,a1)),x7171),x7172)) % 1.63/1.76 [724]~P23(f25(f25(f67(f71(x7241,a1)),x7242),x7244))+P23(f25(f25(f67(f71(x7241,a1)),x7242),x7243))+~P23(f25(f25(f67(f71(x7241,a1)),x7244),x7243)) % 1.63/1.76 [725]~P23(f25(f25(f48(f71(x7251,a1)),x7252),x7254))+~P23(f25(f25(f67(f71(x7251,a1)),x7254),x7253))+P23(f25(f25(f48(f71(x7251,a1)),x7252),x7253)) % 1.63/1.76 [726]~P23(f25(f25(f67(f71(x7261,a1)),x7262),x7264))+~P23(f25(f25(f48(f71(x7261,a1)),x7264),x7263))+P23(f25(f25(f48(f71(x7261,a1)),x7262),x7263)) % 1.63/1.76 [727]~P23(f25(f25(f48(f71(x7271,a1)),x7272),x7274))+P23(f25(f25(f48(f71(x7271,a1)),x7272),x7273))+~P23(f25(f25(f48(f71(x7271,a1)),x7274),x7273)) % 1.63/1.76 [814]~P7(x8141,f52(f71(x8144,a1)),x8144,x8143)+E(f11(f25(x8141,x8142),x8141,x8143,x8144),x8142)+~P23(f25(f25(f66(x8143),f25(x8141,x8142)),f64(x8141,f52(f71(x8144,a1)),x8144,x8143))) % 1.63/1.76 [816]~P7(x8161,f52(f71(x8164,a1)),x8164,x8163)+E(f25(x8161,f11(x8162,x8161,x8163,x8164)),x8162)+~P23(f25(f25(f66(x8163),x8162),f64(x8161,f52(f71(x8164,a1)),x8164,x8163))) % 1.63/1.76 [646]~P14(x6461)+~P23(f25(f25(f67(x6461),x6463),x6464))+P23(f25(f25(f67(x6461),f25(f25(f46(x6461),x6462),x6463)),x6464)) % 1.63/1.76 [647]~P14(x6471)+~P23(f25(f25(f67(x6471),x6472),x6474))+P23(f25(f25(f67(x6471),f25(f25(f46(x6471),x6472),x6473)),x6474)) % 1.63/1.76 [648]~P14(x6481)+~P23(f25(f25(f48(x6481),x6483),x6484))+P23(f25(f25(f48(x6481),f25(f25(f46(x6481),x6482),x6483)),x6484)) % 1.63/1.76 [649]~P14(x6491)+~P23(f25(f25(f48(x6491),x6492),x6494))+P23(f25(f25(f48(x6491),f25(f25(f46(x6491),x6492),x6493)),x6494)) % 1.63/1.76 [650]~P23(f25(x6503,x6504))+~P23(f25(x6502,x6504))+P23(f25(f25(f25(f46(f71(x6501,a1)),x6502),x6503),x6504)) % 1.63/1.76 [685]~P23(f25(x6854,x6852))+~P23(f25(f25(f66(x6851),x6852),x6853))+P23(f25(f25(f66(x6851),x6852),f25(f25(f46(f71(x6851,a1)),x6853),x6854))) % 1.63/1.76 [691]~P1(x6911)+P23(f25(f25(f67(x6911),x6912),x6913))+~P23(f25(f25(f67(x6911),f25(f25(f45(x6911),x6914),x6912)),x6913)) % 1.63/1.76 [693]~P1(x6931)+P23(f25(f25(f67(x6931),x6932),x6933))+~P23(f25(f25(f67(x6931),f25(f25(f45(x6931),x6932),x6934)),x6933)) % 1.63/1.76 [701]P23(f25(x7011,x7012))+P23(f25(x7013,x7012))+~P23(f25(f25(f25(f45(f71(x7014,a1)),x7011),x7013),x7012)) % 1.63/1.76 [703]~P23(f25(f25(f66(x7031),x7032),x7034))+~P23(f25(f25(f66(x7031),x7032),x7033))+P23(f25(f25(f66(x7031),x7032),f25(f25(f46(f71(x7031,a1)),x7033),x7034))) % 1.63/1.76 [733]P23(f25(f25(f66(x7331),x7332),x7333))+P23(f25(f25(f66(x7331),x7332),x7334))+~P23(f25(f25(f66(x7331),x7332),f25(f25(f45(f71(x7331,a1)),x7333),x7334))) % 1.63/1.76 [735]E(f25(f25(f46(f71(x7351,a1)),x7352),x7353),f44(f71(x7351,a1)))+~E(f25(f25(f46(f71(x7351,a1)),f25(f26(f71(x7351,a1)),x7354)),x7353),f44(f71(x7351,a1)))+~P23(f25(f25(f66(f71(x7351,a1)),x7352),x7354)) % 1.63/1.76 [762]~P23(f25(f25(f67(f71(x7621,a1)),x7622),x7623))+~P23(f25(f25(f67(f71(x7621,a1)),x7622),x7624))+P23(f25(f25(f67(f71(x7621,a1)),x7622),f25(f25(f46(f71(x7621,a1)),x7623),x7624))) % 1.63/1.76 [855]E(x8551,x8552)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8554,x8554,a68,a68)),f22(x8553,x8551,x8552)))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8553),a4)) % 1.63/1.76 [856]E(x8561,x8562)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8564,x8564,a68,a68)),f23(x8563,x8561,x8562)))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8563),a4)) % 1.63/1.76 [973]~P9(x9734,x9733,x9731)+~P23(f25(f25(f66(x9731),x9732),x9734))+P23(f25(f25(f66(x9731),x9732),f54(x9733,f25(f25(f45(f71(x9731,a1)),f25(f3(f63(x9731),x9731,x9731,a1),x9732)),f44(f71(x9731,a1))),x9731,x9731))) % 1.63/1.76 [793]~P23(f25(f25(f67(f71(x7931,a1)),x7933),x7934))+~P23(f25(f25(f67(f71(x7931,a1)),x7932),x7934))+P23(f25(f25(f67(f71(x7931,a1)),f25(f25(f45(f71(x7931,a1)),x7932),x7933)),x7934)) % 1.63/1.76 [927]~P23(f25(f25(f66(x9271),x9273),x9274))+~P23(f25(f25(f48(f71(x9271,a1)),x9272),x9274))+P23(f25(f25(f48(f71(x9271,a1)),x9272),f25(f25(f45(f71(x9271,a1)),f25(f3(f63(x9271),x9271,x9271,a1),x9273)),x9274))) % 1.63/1.76 [956]E(x9561,x9562)+P23(f25(x9563,x9561))+~P23(f25(f25(f25(f45(f71(x9564,a1)),f25(f3(f63(x9564),x9564,x9564,a1),x9562)),x9563),x9561)) % 1.63/1.76 [957]E(x9571,x9572)+P23(f25(f25(f66(x9573),x9571),x9574))+~P23(f25(f25(f66(x9573),x9571),f25(f25(f45(f71(x9573,a1)),f25(f3(f63(x9573),x9573,x9573,a1),x9572)),x9574))) % 1.63/1.76 [960]P23(f25(f25(f66(x9601),x9602),x9603))+P23(f25(f25(f67(f71(x9601,a1)),x9603),x9604))+~P23(f25(f25(f67(f71(x9601,a1)),x9603),f25(f25(f45(f71(x9601,a1)),f25(f3(f63(x9601),x9601,x9601,a1),x9602)),x9604))) % 1.63/1.76 [961]~P23(f25(f25(f66(x9611),x9614),x9613))+P23(f25(f25(f48(f71(x9611,a1)),x9612),x9613))+~P23(f25(f25(f48(f71(x9611,a1)),x9612),f25(f25(f45(f71(x9611,a1)),f25(f3(f63(x9611),x9611,x9611,a1),x9614)),x9613))) % 1.63/1.76 [1004]~P23(f25(f25(f66(x10041),x10043),x10042))+P23(f25(f25(f67(f71(x10041,a1)),f30(x10042,f25(f25(f45(f71(x10041,a1)),f25(f3(f63(x10041),x10041,x10041,a1),x10043)),f44(f71(x10041,a1))),f71(x10041,a1))),x10044))+~P23(f25(f25(f67(f71(x10041,a1)),x10042),f25(f25(f45(f71(x10041,a1)),f25(f3(f63(x10041),x10041,x10041,a1),x10043)),x10044))) % 1.63/1.76 [1009]~P23(f25(f25(f66(x10091),x10093),x10092))+~P23(f25(f25(f67(f71(x10091,a1)),f30(x10092,f25(f25(f45(f71(x10091,a1)),f25(f3(f63(x10091),x10091,x10091,a1),x10093)),f44(f71(x10091,a1))),f71(x10091,a1))),x10094))+P23(f25(f25(f67(f71(x10091,a1)),x10092),f25(f25(f45(f71(x10091,a1)),f25(f3(f63(x10091),x10091,x10091,a1),x10093)),x10094))) % 1.63/1.76 [972]~P23(f25(f25(f66(x9721),x9722),x9724))+~P23(f25(f25(f67(f71(x9721,a1)),x9723),x9724))+P23(f25(f25(f67(f71(x9721,a1)),f25(f25(f45(f71(x9721,a1)),f25(f3(f63(x9721),x9721,x9721,a1),x9722)),x9723)),x9724)) % 1.63/1.76 [606]E(x6061,x6062)+~E(f25(x6063,x6061),f25(x6063,x6062))+~P7(x6063,f52(f71(x6064,a1)),x6064,x6065) % 1.63/1.76 [731]E(x7311,x7312)+~E(f64(x7313,x7311,x7314,x7315),f64(x7313,x7312,x7314,x7315))+~P7(x7313,f52(f71(x7314,a1)),x7314,x7315) % 1.63/1.76 [736]~P23(f25(f25(x7363,x7364),x7362))+~P23(f25(f25(x7363,x7362),x7365))+P23(f25(f25(f66(x7361),x7362),f58(x7363,x7364,x7365,x7361))) % 1.63/1.76 [737]~P23(f25(f25(x7373,x7374),x7372))+~P23(f25(f25(x7373,x7372),x7375))+P23(f25(f25(f66(x7371),x7372),f62(x7373,x7374,x7375,x7371))) % 1.63/1.76 [642]E(f25(x6421,x6422),f44(f71(x6423,a1)))+~E(f31(x6424,x6421,x6425,f71(x6423,a1)),f44(f71(x6423,a1)))+~P23(f25(f25(f66(x6425),x6422),x6424)) % 1.63/1.76 [694]E(f25(x6941,x6942),f49(x6943))+~P23(f25(f25(f66(f71(x6944,x6943)),x6941),f37(x6945,x6944,x6943)))+P23(f25(f25(f66(x6944),x6942),x6945)) % 1.63/1.76 [709]~P7(x7092,x7091,x7093,x7094)+E(f25(f47(x7091,x7092,x7093,x7094),f25(x7092,x7095)),x7095)+~P23(f25(f25(f66(x7093),x7095),x7091)) % 1.63/1.76 [729]~P23(f25(x7291,x7295))+P23(f25(x7291,f18(x7292,x7293,x7291,x7294)))+~P23(f25(f25(f66(x7294),x7295),x7293)) % 1.63/1.76 [730]~P23(f25(x7301,x7305))+P23(f25(x7301,f18(x7302,x7303,x7301,x7304)))+~P23(f25(f25(f66(x7304),x7305),x7302)) % 1.63/1.76 [742]~P4(x7421)+P23(f25(f25(f67(x7421),f25(x7422,x7423)),f31(x7424,x7422,x7425,x7421)))+~P23(f25(f25(f66(x7425),x7423),x7424)) % 1.63/1.76 [790]P23(f25(x7901,x7902))+P23(f25(f25(f66(x7903),f10(x7904,x7905,x7901,x7903)),x7904))+~P23(f25(f25(f66(x7903),x7902),x7904)) % 1.63/1.76 [791]P23(f25(x7911,x7912))+P23(f25(f25(f66(x7913),f10(x7914,x7911,x7915,x7913)),x7914))+~P23(f25(f25(f66(x7913),x7912),x7914)) % 1.63/1.76 [797]~P7(x7974,f52(f71(x7971,a1)),x7971,x7975)+~P23(f25(f25(f66(x7975),f25(x7974,x7972)),f64(x7974,x7973,x7971,x7975)))+P23(f25(f25(f66(x7971),x7972),x7973)) % 1.63/1.76 [839]~P9(x8393,x8394,x8391)+~P23(f25(f25(f66(f73(x8391,x8391)),f55(x8395,x8392,x8391,x8391)),x8394))+P23(f25(f25(f66(x8391),x8392),x8393)) % 1.63/1.76 [840]~P9(x8403,x8404,x8401)+~P23(f25(f25(f66(f73(x8401,x8401)),f55(x8402,x8405,x8401,x8401)),x8404))+P23(f25(f25(f66(x8401),x8402),x8403)) % 1.63/1.76 [854]~P7(x8542,f52(f71(x8541,a1)),x8541,x8544)+~P23(f25(f25(f67(f71(x8544,a1)),x8543),f64(x8542,x8545,x8541,x8544)))+P23(f25(f25(f67(f71(x8541,a1)),f65(x8542,x8543,x8541,x8544)),x8545)) % 1.63/1.76 [905]~P7(x9053,f52(f71(x9054,a1)),x9054,x9055)+P23(f25(x9051,x9052))+~P23(f25(x9051,f25(f47(f52(f71(x9054,a1)),x9053,x9054,x9055),f13(x9051,x9053,x9054,x9055)))) % 1.63/1.76 [667]~P3(x6671)+P23(f25(f25(f67(x6671),f25(x6672,x6673)),f25(x6674,x6673)))+~P23(f25(f25(f67(f71(x6675,x6671)),x6672),x6674)) % 1.63/1.76 [710]P7(x7101,x7102,x7103,x7104)+~P7(x7101,x7105,x7103,x7104)+~P23(f25(f25(f67(f71(x7103,a1)),x7102),x7105)) % 1.63/1.76 [753]E(x7531,x7532)+~E(f64(x7533,x7531,x7534,x7535),f64(x7533,x7532,x7534,x7535))+~P7(x7533,f25(f25(f45(f71(x7534,a1)),x7531),x7532),x7534,x7535) % 1.63/1.76 [778]~P7(x7782,x7781,x7783,x7784)+E(f64(f47(x7781,x7782,x7783,x7784),f64(x7782,x7785,x7783,x7784),x7784,x7783),x7785)+~P23(f25(f25(f67(f71(x7783,a1)),x7785),x7781)) % 1.63/1.76 [781]P23(f25(f25(f67(f71(x7811,a1)),f30(x7812,x7813,f71(x7811,a1))),f30(x7814,x7815,f71(x7811,a1))))+~P23(f25(f25(f67(f71(x7811,a1)),x7815),x7813))+~P23(f25(f25(f67(f71(x7811,a1)),x7812),x7814)) % 1.63/1.76 [838]~P7(x8384,f52(f71(x8385,a1)),x8385,x8383)+P23(f25(x8381,x8382))+P23(f25(f25(f66(x8383),f13(x8381,x8384,x8385,x8383)),f64(x8384,f52(f71(x8385,a1)),x8385,x8383))) % 1.63/1.76 [876]~P7(x8764,f52(f71(x8761,a1)),x8761,x8765)+~P23(f25(f25(f67(f71(x8765,a1)),f64(x8764,x8762,x8761,x8765)),f64(x8764,x8763,x8761,x8765)))+P23(f25(f25(f67(f71(x8761,a1)),x8762),x8763)) % 1.63/1.76 [906]~P23(f25(f25(f66(f71(x9062,x9064)),x9061),f37(x9063,x9062,x9064)))+E(f32(f19(x9061,f32(f2(x9062),x9063,x9062,x9062),x9062,x9064,x9062),x9063,x9062,x9064),x9061)+~P23(f25(f25(f66(f71(x9062,x9064)),x9061),f36(x9063,f27(x9065,f71(x9064,a1),x9062),x9062,x9064))) % 1.63/1.76 [907]~P23(f25(f25(f66(f71(x9074,x9071)),x9073),f37(x9075,x9074,x9071)))+E(f32(f19(f32(f2(x9071),x9072,x9071,x9071),x9073,x9071,x9071,x9074),x9075,x9074,x9071),x9073)+~P23(f25(f25(f66(f71(x9074,x9071)),x9073),f36(x9075,f27(x9072,f71(x9071,a1),x9074),x9074,x9071))) % 1.63/1.76 [949]~P9(x9495,x9491,x9492)+E(f54(x9491,f25(f25(f45(f71(x9492,a1)),f25(f3(f63(x9492),x9492,x9492,a1),x9493)),f44(f71(x9492,a1))),x9492,x9492),f54(x9491,f25(f25(f45(f71(x9492,a1)),f25(f3(f63(x9492),x9492,x9492,a1),x9494)),f44(f71(x9492,a1))),x9492,x9492))+~P23(f25(f25(f66(f73(x9492,x9492)),f55(x9493,x9494,x9492,x9492)),x9491)) % 1.63/1.76 [975]E(x9751,x9752)+E(x9751,x9753)+~E(f25(f25(f45(f71(x9754,a1)),f25(f3(f63(x9754),x9754,x9754,a1),x9755)),f25(f25(f45(f71(x9754,a1)),f25(f3(f63(x9754),x9754,x9754,a1),x9751)),f44(f71(x9754,a1)))),f25(f25(f45(f71(x9754,a1)),f25(f3(f63(x9754),x9754,x9754,a1),x9753)),f25(f25(f45(f71(x9754,a1)),f25(f3(f63(x9754),x9754,x9754,a1),x9752)),f44(f71(x9754,a1))))) % 1.63/1.76 [976]E(x9761,x9762)+E(x9763,x9762)+~E(f25(f25(f45(f71(x9764,a1)),f25(f3(f63(x9764),x9764,x9764,a1),x9763)),f25(f25(f45(f71(x9764,a1)),f25(f3(f63(x9764),x9764,x9764,a1),x9761)),f44(f71(x9764,a1)))),f25(f25(f45(f71(x9764,a1)),f25(f3(f63(x9764),x9764,x9764,a1),x9765)),f25(f25(f45(f71(x9764,a1)),f25(f3(f63(x9764),x9764,x9764,a1),x9762)),f44(f71(x9764,a1))))) % 1.63/1.76 [977]E(x9771,x9772)+E(x9773,x9772)+~E(f25(f25(f45(f71(x9774,a1)),f25(f3(f63(x9774),x9774,x9774,a1),x9773)),f25(f25(f45(f71(x9774,a1)),f25(f3(f63(x9774),x9774,x9774,a1),x9771)),f44(f71(x9774,a1)))),f25(f25(f45(f71(x9774,a1)),f25(f3(f63(x9774),x9774,x9774,a1),x9772)),f25(f25(f45(f71(x9774,a1)),f25(f3(f63(x9774),x9774,x9774,a1),x9775)),f44(f71(x9774,a1))))) % 1.63/1.76 [978]E(x9781,x9782)+E(x9781,x9783)+~E(f25(f25(f45(f71(x9784,a1)),f25(f3(f63(x9784),x9784,x9784,a1),x9781)),f25(f25(f45(f71(x9784,a1)),f25(f3(f63(x9784),x9784,x9784,a1),x9785)),f44(f71(x9784,a1)))),f25(f25(f45(f71(x9784,a1)),f25(f3(f63(x9784),x9784,x9784,a1),x9783)),f25(f25(f45(f71(x9784,a1)),f25(f3(f63(x9784),x9784,x9784,a1),x9782)),f44(f71(x9784,a1))))) % 1.63/1.76 [809]~P23(f25(x8094,x8095))+~P23(f25(f25(f66(x8091),x8095),x8093))+P23(f25(f25(f66(x8091),f18(x8092,x8093,x8094,x8091)),f25(f25(f45(f71(x8091,a1)),x8092),x8093))) % 1.63/1.76 [810]~P23(f25(x8104,x8105))+~P23(f25(f25(f66(x8101),x8105),x8102))+P23(f25(f25(f66(x8101),f18(x8102,x8103,x8104,x8101)),f25(f25(f45(f71(x8101,a1)),x8102),x8103))) % 1.63/1.76 [812]~P23(f25(f25(f67(f71(x8121,a1)),x8123),x8125))+~P23(f25(f25(f67(f71(x8121,a1)),x8122),x8124))+P23(f25(f25(f67(f71(x8121,a1)),f25(f25(f45(f71(x8121,a1)),x8122),x8123)),f25(f25(f45(f71(x8121,a1)),x8124),x8125))) % 1.63/1.76 [813]~P23(f25(f25(f67(f71(x8131,a1)),x8133),x8135))+~P23(f25(f25(f67(f71(x8131,a1)),x8132),x8134))+P23(f25(f25(f67(f71(x8131,a1)),f25(f25(f46(f71(x8131,a1)),x8132),x8133)),f25(f25(f46(f71(x8131,a1)),x8134),x8135))) % 1.63/1.76 [998]~P7(x9981,x9984,x9982,x9985)+P7(x9981,f25(f25(f45(f71(x9982,a1)),f25(f3(f63(x9982),x9982,x9982,a1),x9983)),x9984),x9982,x9985)+P23(f25(f25(f66(x9985),f25(x9981,x9983)),f64(x9981,f30(x9984,f25(f25(f45(f71(x9982,a1)),f25(f3(f63(x9982),x9982,x9982,a1),x9983)),f44(f71(x9982,a1))),f71(x9982,a1)),x9982,x9985))) % 1.63/1.76 [1006]~P9(x10065,x10062,x10061)+~P23(f25(f25(f66(f73(x10061,x10061)),f55(x10063,x10064,x10061,x10061)),x10062))+P23(f25(f25(f67(f71(x10061,a1)),f54(x10062,f25(f25(f45(f71(x10061,a1)),f25(f3(f63(x10061),x10061,x10061,a1),x10063)),f44(f71(x10061,a1))),x10061,x10061)),f54(x10062,f25(f25(f45(f71(x10061,a1)),f25(f3(f63(x10061),x10061,x10061,a1),x10064)),f44(f71(x10061,a1))),x10061,x10061))) % 1.63/1.76 [604]~P12(x6041,x6044,x6045,x6046)+E(f25(f25(x6041,x6042),x6043),x6043)+~E(f25(x6042,f25(x6044,x6043)),f25(x6044,x6043)) % 1.63/1.76 [845]~P7(x8451,x8456,x8454,x8455)+P7(f33(x8451,x8452,x8453,x8454,x8455),x8456,x8454,x8455)+P23(f25(f25(f66(x8455),x8453),f64(x8451,x8456,x8454,x8455))) % 1.63/1.76 [861]~P23(f25(f25(x8614,x8612),x8616))+~P23(f25(f25(x8613,x8615),x8612))+P23(f25(f25(f66(x8611),x8612),f59(x8613,x8614,x8615,x8616,x8611))) % 1.63/1.76 [744]~P23(f25(f25(x7442,x7446),x7445))+~P23(f25(f25(f66(x7443),x7446),x7441))+P23(f25(f31(x7441,x7442,x7443,f71(x7444,a1)),x7445)) % 1.63/1.76 [749]E(x7491,x7492)+~E(f56(x7491,f27(x7493,f71(x7494,a1),x7495),x7495,x7494),f56(x7492,f27(x7493,f71(x7494,a1),x7495),x7495,x7494))+~P23(f25(f25(f66(x7494),x7496),x7493)) % 1.63/1.76 [752]~P23(f25(f25(f66(x7521),x7522),f25(x7524,x7526)))+~P23(f25(f25(f66(x7525),x7526),x7523))+P23(f25(f25(f66(x7521),x7522),f31(x7523,x7524,x7525,f71(x7521,a1)))) % 1.63/1.76 [799]~P23(f25(f25(f66(f71(x7995,x7991)),x7992),f36(x7996,x7994,x7995,x7991)))+P23(f25(f25(f66(x7991),f25(x7992,x7993)),f25(x7994,x7993)))+~P23(f25(f25(f66(x7995),x7993),x7996)) % 1.63/1.76 [834]~P23(f25(f25(f66(x8342),x8344),f25(x8346,x8343)))+P23(f25(f25(f66(f73(x8341,x8342)),f55(x8343,x8344,x8341,x8342)),f56(x8345,x8346,x8341,x8342)))+~P23(f25(f25(f66(x8341),x8343),x8345)) % 1.63/1.76 [844]P23(f25(f25(f66(x8441),f25(x8442,x8443)),x8444))+~P23(f25(f25(f66(x8445),x8443),x8446))+~P23(f25(f25(f67(f71(x8441,a1)),f64(x8442,x8446,x8445,x8441)),x8444)) % 1.63/1.76 [859]P23(f25(f25(f66(x8591),x8592),f54(x8593,x8594,x8595,x8591)))+~P23(f25(f25(f66(f73(x8595,x8591)),f55(x8596,x8592,x8595,x8591)),x8593))+~P23(f25(f25(f66(x8595),x8596),x8594)) % 1.63/1.76 [823]P23(f25(f25(f66(x8231),f25(x8232,x8233)),x8234))+~P23(f25(f25(f66(x8235),x8233),x8236))+~P23(f25(f25(f66(f71(x8235,x8231)),x8232),f36(x8236,f27(x8234,f71(x8231,a1),x8235),x8235,x8231))) % 1.63/1.76 [848]~P23(f25(f25(f66(x8485),x8483),x8486))+P23(f25(f25(f67(f71(x8481,a1)),f25(x8482,x8483)),x8484))+~P23(f25(f25(f67(f71(x8481,a1)),f31(x8486,x8482,x8485,f71(x8481,a1))),x8484)) % 1.63/1.76 [1024]~P9(x10245,x10244,x10241)+P23(f25(f25(f66(f73(x10241,x10241)),f55(x10242,x10243,x10241,x10241)),x10244))+~P23(f25(f25(f66(x10241),x10246),f25(f25(f46(f71(x10241,a1)),f54(x10244,f25(f25(f45(f71(x10241,a1)),f25(f3(f63(x10241),x10241,x10241,a1),x10242)),f44(f71(x10241,a1))),x10241,x10241)),f54(x10244,f25(f25(f45(f71(x10241,a1)),f25(f3(f63(x10241),x10241,x10241,a1),x10243)),f44(f71(x10241,a1))),x10241,x10241)))) % 1.63/1.76 [621]~P12(x6211,x6215,x6216,x6217)+E(f25(f25(x6211,x6212),x6213),f25(f25(x6211,x6214),x6213))+~E(f25(x6212,f25(x6215,x6213)),f25(x6214,f25(x6215,x6213))) % 1.63/1.76 [912]~P11(x9122,x9126,x9127,x9125,x9123)+~P7(x9121,x9127,x9123,x9124)+P7(f32(f19(x9121,x9122,x9123,x9124,x9125),x9126,x9125,x9124),x9126,x9125,x9124) % 1.63/1.76 [989]P8(x9891,x9892,x9893,f25(f25(x9891,x9894),x9895),x9896,x9897)+~P8(x9891,x9892,f30(x9893,f25(f25(f45(f71(x9896,a1)),f25(f3(f63(x9896),x9896,x9896,a1),x9894)),f44(f71(x9896,a1))),f71(x9896,a1)),x9895,x9896,x9897)+~P23(f25(f25(f66(x9896),x9894),x9893)) % 1.63/1.76 [974]~P8(x9744,x9745,x9743,x9746,x9741,x9747)+P8(x9744,x9745,f25(f25(f45(f71(x9741,a1)),f25(f3(f63(x9741),x9741,x9741,a1),x9742)),x9743),f25(f25(x9744,x9742),x9746),x9741,x9747)+P23(f25(f25(f66(x9741),x9742),x9743)) % 1.63/1.76 [931]~P11(x9311,x9318,x9317,x9313,x9314)+~P11(x9312,x9316,x9318,x9315,x9313)+P11(f32(f19(x9311,x9312,x9313,x9314,x9315),x9316,x9315,x9314),x9316,x9317,x9315,x9314) % 1.63/1.76 [988]~P23(f25(f25(f66(f71(x9885,x9882)),x9883),f36(x9888,f27(x9887,f71(x9882,a1),x9885),x9885,x9882)))+~P23(f25(f25(f66(f71(x9881,x9885)),x9884),f36(x9886,f27(x9888,f71(x9885,a1),x9881),x9881,x9885)))+P23(f25(f25(f66(f71(x9881,x9882)),f32(f19(x9883,x9884,x9885,x9882,x9881),x9886,x9881,x9882)),f36(x9886,f27(x9887,f71(x9882,a1),x9881),x9881,x9882))) % 1.63/1.76 [818]~P23(f25(f25(f25(x8182,x8188),x8186),x8187))+~P23(f25(f25(f66(x8183),x8188),x8181))+P23(f25(f25(f31(x8181,x8182,x8183,f71(x8184,f71(x8185,a1))),x8186),x8187)) % 1.63/1.76 [1030]~P10(x10306,x10303,x10301,x10307,x10308,x10309,x103010,x103011,x10305)+P23(f25(f25(x10301,x10302),f25(x10303,x10304)))+~P23(f25(f25(f66(x10305),x10302),x10304)) % 1.63/1.76 [1031]~P10(x10312,x10316,x10311,x10317,x10318,x10319,x103110,x103111,x10315)+P23(f25(f25(x10311,f25(x10312,x10313)),x10314))+~P23(f25(f25(f66(x10315),x10314),x10313)) % 1.63/1.76 [528]~P17(x5283)+E(x5281,x5282)+P23(f25(f25(f48(x5283),x5282),x5281))+P23(f25(f25(f48(x5283),x5281),x5282)) % 1.63/1.76 [529]~P24(x5293)+E(x5291,x5292)+P23(f25(f25(f48(x5293),x5292),x5291))+P23(f25(f25(f48(x5293),x5291),x5292)) % 1.63/1.76 [542]~P16(x5423)+E(x5421,x5422)+~P23(f25(f25(f67(x5423),x5421),x5422))+P23(f25(f25(f48(x5423),x5421),x5422)) % 1.63/1.76 [544]~P17(x5443)+E(x5441,x5442)+~P23(f25(f25(f67(x5443),x5441),x5442))+P23(f25(f25(f48(x5443),x5441),x5442)) % 1.63/1.76 [565]E(x5651,x5652)+~P16(x5653)+~P23(f25(f25(f67(x5653),x5652),x5651))+~P23(f25(f25(f67(x5653),x5651),x5652)) % 1.63/1.76 [570]~P21(x5701)+P23(f25(f25(f48(x5701),x5703),x5702))+~P23(f25(f25(f67(x5701),x5703),x5702))+P23(f25(f25(f67(x5701),x5702),x5703)) % 1.63/1.76 [867]E(x8671,x8672)+P23(f25(f25(f66(f73(a68,a68)),f55(x8671,x8672,a68,a68)),x8673))+P23(f25(f25(f66(f73(a68,a68)),f55(x8672,x8671,a68,a68)),x8673))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8673),a4)) % 1.63/1.76 [882]E(x8821,x8822)+P23(f25(f25(f66(f73(a68,a68)),f55(x8821,x8822,a68,a68)),f23(x8823,x8821,x8822)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8821,x8822,a68,a68)),x8823))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8823),a4)) % 1.63/1.76 [577]~P16(x5771)+~P23(f25(f25(f67(x5771),x5772),x5774))+P23(f25(f25(f67(x5771),x5772),x5773))+~P23(f25(f25(f67(x5771),x5774),x5773)) % 1.63/1.76 [578]~P21(x5781)+~P23(f25(f25(f67(x5781),x5782),x5784))+P23(f25(f25(f67(x5781),x5782),x5783))+~P23(f25(f25(f67(x5781),x5784),x5783)) % 1.63/1.76 [579]~P16(x5791)+~P23(f25(f25(f48(x5791),x5792),x5794))+P23(f25(f25(f48(x5791),x5792),x5793))+~P23(f25(f25(f67(x5791),x5794),x5793)) % 1.63/1.76 [580]~P16(x5801)+~P23(f25(f25(f48(x5801),x5804),x5803))+P23(f25(f25(f48(x5801),x5802),x5803))+~P23(f25(f25(f67(x5801),x5802),x5804)) % 1.63/1.76 [581]~P16(x5811)+~P23(f25(f25(f48(x5811),x5812),x5814))+P23(f25(f25(f48(x5811),x5812),x5813))+~P23(f25(f25(f48(x5811),x5814),x5813)) % 1.63/1.76 [582]~P21(x5821)+~P23(f25(f25(f48(x5821),x5822),x5824))+P23(f25(f25(f48(x5821),x5822),x5823))+~P23(f25(f25(f67(x5821),x5824),x5823)) % 1.63/1.76 [583]~P21(x5831)+~P23(f25(f25(f48(x5831),x5834),x5833))+P23(f25(f25(f48(x5831),x5832),x5833))+~P23(f25(f25(f67(x5831),x5832),x5834)) % 1.63/1.76 [584]~P21(x5841)+~P23(f25(f25(f48(x5841),x5842),x5844))+P23(f25(f25(f48(x5841),x5842),x5843))+~P23(f25(f25(f48(x5841),x5844),x5843)) % 1.63/1.76 [870]E(x8701,x8702)+E(x8703,x8702)+P23(f25(f25(f66(f73(a68,a68)),f55(x8703,x8701,a68,a68)),f21(x8704,x8702)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8703,x8701,a68,a68)),x8704)) % 1.63/1.76 [871]E(x8711,x8712)+E(x8713,x8712)+P23(f25(f25(f66(f73(a68,a68)),f55(x8713,x8711,a68,a68)),f24(x8714,x8712)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8713,x8711,a68,a68)),x8714)) % 1.63/1.76 [872]E(x8721,x8722)+E(x8723,x8721)+P23(f25(f25(f66(f73(a68,a68)),f55(x8723,x8721,a68,a68)),f21(x8724,x8722)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8723,x8721,a68,a68)),x8724)) % 1.63/1.76 [873]E(x8731,x8732)+E(x8731,x8733)+P23(f25(f25(f66(f73(a68,a68)),f55(x8731,x8733,a68,a68)),f24(x8734,x8732)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8731,x8733,a68,a68)),x8734)) % 1.63/1.76 [640]~P14(x6401)+~P23(f25(f25(f67(x6401),x6402),x6404))+~P23(f25(f25(f67(x6401),x6402),x6403))+P23(f25(f25(f67(x6401),x6402),f25(f25(f46(x6401),x6403),x6404))) % 1.63/1.76 [714]~P3(x7142)+P23(f25(f25(f48(f71(x7141,x7142)),x7144),x7143))+~P23(f25(f25(f67(f71(x7141,x7142)),x7144),x7143))+P23(f25(f25(f67(f71(x7141,x7142)),x7143),x7144)) % 1.63/1.76 [683]~P1(x6831)+~P23(f25(f25(f67(x6831),x6833),x6834))+~P23(f25(f25(f67(x6831),x6832),x6834))+P23(f25(f25(f67(x6831),f25(f25(f45(x6831),x6832),x6833)),x6834)) % 1.63/1.76 [894]E(x8941,x8942)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8943,x8941,a68,a68)),f23(x8944,x8941,x8942)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8943,x8942,a68,a68)),x8944))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8944),a4)) % 1.63/1.76 [895]E(x8951,x8952)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8951,x8953,a68,a68)),f22(x8954,x8952,x8951)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8952,x8953,a68,a68)),x8954))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8954),a4)) % 1.63/1.76 [901]E(x9011,x9012)+~E(f25(f25(f45(f71(x9013,a1)),f25(f3(f63(x9013),x9013,x9013,a1),x9014)),x9011),f25(f25(f45(f71(x9013,a1)),f25(f3(f63(x9013),x9013,x9013,a1),x9014)),x9012))+P23(f25(f25(f66(x9013),x9014),x9012))+P23(f25(f25(f66(x9013),x9014),x9011)) % 1.63/1.76 [915]~P6(x9153)+P23(f25(f25(f66(f73(a68,a68)),f55(x9151,x9152,a68,a68)),f25(x9153,x9154)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9151,x9152,a68,a68)),f25(x9154,f78(x9151,x9152,x9154))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9154),a20)) % 1.63/1.76 [929]P23(f25(f25(f66(x9291),x9292),x9293))+P23(f25(f25(f66(x9291),x9292),x9294))+~P23(f25(f25(f67(f71(x9291,a1)),x9294),x9293))+P23(f25(f25(f48(f71(x9291,a1)),x9294),f25(f25(f45(f71(x9291,a1)),f25(f3(f63(x9291),x9291,x9291,a1),x9292)),x9293))) % 1.63/1.76 [930]P23(f25(f25(f66(x9301),x9302),x9303))+~P23(f25(f25(f67(f71(x9301,a1)),x9303),x9304))+~P23(f25(f25(f48(f71(x9301,a1)),x9303),x9304))+P23(f25(f25(f48(f71(x9301,a1)),x9303),f25(f25(f45(f71(x9301,a1)),f25(f3(f63(x9301),x9301,x9301,a1),x9302)),x9304))) % 1.63/1.76 [962]P23(f25(f25(f66(x9621),x9622),x9623))+P23(f25(f25(f66(x9621),x9622),x9624))+P23(f25(f25(f67(f71(x9621,a1)),x9624),x9623))+~P23(f25(f25(f48(f71(x9621,a1)),x9624),f25(f25(f45(f71(x9621,a1)),f25(f3(f63(x9621),x9621,x9621,a1),x9622)),x9623))) % 1.63/1.76 [1005]~P23(f25(f25(f66(x10051),x10052),x10054))+P23(f25(f25(f66(x10051),x10052),x10053))+P23(f25(f25(f48(f71(x10051,a1)),f30(x10054,f25(f25(f45(f71(x10051,a1)),f25(f3(f63(x10051),x10051,x10051,a1),x10052)),f44(f71(x10051,a1))),f71(x10051,a1))),x10053))+~P23(f25(f25(f48(f71(x10051,a1)),x10054),f25(f25(f45(f71(x10051,a1)),f25(f3(f63(x10051),x10051,x10051,a1),x10052)),x10053))) % 1.63/1.76 [1010]~P23(f25(f25(f66(x10101),x10102),x10104))+P23(f25(f25(f66(x10101),x10102),x10103))+~P23(f25(f25(f48(f71(x10101,a1)),f30(x10104,f25(f25(f45(f71(x10101,a1)),f25(f3(f63(x10101),x10101,x10101,a1),x10102)),f44(f71(x10101,a1))),f71(x10101,a1))),x10103))+P23(f25(f25(f48(f71(x10101,a1)),x10104),f25(f25(f45(f71(x10101,a1)),f25(f3(f63(x10101),x10101,x10101,a1),x10102)),x10103))) % 1.63/1.76 [1012]P23(f25(f25(f66(x10121),x10122),x10123))+~P23(f25(f25(f67(f71(x10121,a1)),x10124),x10123))+~P23(f25(f25(f48(f71(x10121,a1)),f30(x10124,f25(f25(f45(f71(x10121,a1)),f25(f3(f63(x10121),x10121,x10121,a1),x10122)),f44(f71(x10121,a1))),f71(x10121,a1))),x10123))+P23(f25(f25(f48(f71(x10121,a1)),x10124),f25(f25(f45(f71(x10121,a1)),f25(f3(f63(x10121),x10121,x10121,a1),x10122)),x10123))) % 1.63/1.76 [1013]~P23(f25(f25(f66(x10131),x10133),x10132))+~P23(f25(f25(f48(f71(x10131,a1)),x10132),x10134))+~P23(f25(f25(f48(f71(x10131,a1)),f30(x10132,f25(f25(f45(f71(x10131,a1)),f25(f3(f63(x10131),x10131,x10131,a1),x10133)),f44(f71(x10131,a1))),f71(x10131,a1))),x10134))+P23(f25(f25(f48(f71(x10131,a1)),x10132),f25(f25(f45(f71(x10131,a1)),f25(f3(f63(x10131),x10131,x10131,a1),x10133)),x10134))) % 1.63/1.76 [1014]~P23(f25(f25(f67(f71(x10141,a1)),x10142),x10144))+~P23(f25(f25(f48(f71(x10141,a1)),x10142),x10144))+~P23(f25(f25(f48(f71(x10141,a1)),f30(x10142,f25(f25(f45(f71(x10141,a1)),f25(f3(f63(x10141),x10141,x10141,a1),x10143)),f44(f71(x10141,a1))),f71(x10141,a1))),x10144))+P23(f25(f25(f48(f71(x10141,a1)),x10142),f25(f25(f45(f71(x10141,a1)),f25(f3(f63(x10141),x10141,x10141,a1),x10143)),x10144))) % 1.63/1.76 [921]E(x9211,x9212)+~E(f25(x9211,f38(x9213,x9211,x9212,x9214,x9215)),f25(x9212,f38(x9213,x9211,x9212,x9214,x9215)))+~P23(f25(f25(f66(f71(x9214,x9215)),x9212),f37(x9213,x9214,x9215)))+~P23(f25(f25(f66(f71(x9214,x9215)),x9211),f37(x9213,x9214,x9215))) % 1.63/1.76 [589]~P20(x5891)+~E(f30(x5894,x5895,x5891),f30(x5893,x5892,x5891))+~P23(f25(f25(f67(x5891),x5895),x5894))+P23(f25(f25(f67(x5891),x5892),x5893)) % 1.63/1.76 [590]~P20(x5901)+~E(f30(x5903,x5902,x5901),f30(x5904,x5905,x5901))+~P23(f25(f25(f67(x5901),x5905),x5904))+P23(f25(f25(f67(x5901),x5902),x5903)) % 1.63/1.76 [591]~P20(x5911)+~E(f30(x5914,x5915,x5911),f30(x5912,x5913,x5911))+~P23(f25(f25(f48(x5911),x5914),x5915))+P23(f25(f25(f48(x5911),x5912),x5913)) % 1.63/1.76 [592]~P20(x5921)+~E(f30(x5922,x5923,x5921),f30(x5924,x5925,x5921))+~P23(f25(f25(f48(x5921),x5924),x5925))+P23(f25(f25(f48(x5921),x5922),x5923)) % 1.63/1.76 [824]P23(f25(x8241,x8242))+~P23(f25(x8243,f10(x8244,x8243,x8241,x8245)))+~P23(f25(x8241,f10(x8244,x8243,x8241,x8245)))+~P23(f25(f25(f66(x8245),x8242),x8244)) % 1.63/1.76 [825]P23(f25(x8251,x8252))+~P23(f25(x8253,f10(x8254,x8251,x8253,x8255)))+~P23(f25(x8251,f10(x8254,x8251,x8253,x8255)))+~P23(f25(f25(f66(x8255),x8252),x8254)) % 1.63/1.76 [942]E(x9421,x9422)+~P23(f25(f25(f66(f71(x9423,x9425)),x9422),f37(x9424,x9423,x9425)))+~P23(f25(f25(f66(f71(x9423,x9425)),x9421),f37(x9424,x9423,x9425)))+P23(f25(f25(f66(x9423),f38(x9424,x9421,x9422,x9423,x9425)),x9424)) % 1.63/1.76 [866]~P7(x8661,x8664,x8662,x8665)+~P7(x8661,x8663,x8662,x8665)+P7(x8661,f25(f25(f45(f71(x8662,a1)),x8663),x8664),x8662,x8665)+~E(f25(f25(f46(f71(x8665,a1)),f64(x8661,f30(x8663,x8664,f71(x8662,a1)),x8662,x8665)),f64(x8661,f30(x8664,x8663,f71(x8662,a1)),x8662,x8665)),f44(f71(x8665,a1))) % 1.63/1.76 [965]~P9(x9655,x9654,x9651)+~E(f54(x9654,f25(f25(f45(f71(x9651,a1)),f25(f3(f63(x9651),x9651,x9651,a1),x9652)),f44(f71(x9651,a1))),x9651,x9651),f54(x9654,f25(f25(f45(f71(x9651,a1)),f25(f3(f63(x9651),x9651,x9651,a1),x9653)),f44(f71(x9651,a1))),x9651,x9651))+~P23(f25(f25(f66(x9651),x9653),x9655))+P23(f25(f25(f66(f73(x9651,x9651)),f55(x9652,x9653,x9651,x9651)),x9654)) % 1.63/1.76 [1015]~P9(x10155,x10154,x10151)+~P23(f25(f25(f66(x10151),x10153),x10155))+P23(f25(f25(f66(f73(x10151,x10151)),f55(x10152,x10153,x10151,x10151)),x10154))+~P23(f25(f25(f67(f71(x10151,a1)),f54(x10154,f25(f25(f45(f71(x10151,a1)),f25(f3(f63(x10151),x10151,x10151,a1),x10153)),f44(f71(x10151,a1))),x10151,x10151)),f54(x10154,f25(f25(f45(f71(x10151,a1)),f25(f3(f63(x10151),x10151,x10151,a1),x10152)),f44(f71(x10151,a1))),x10151,x10151))) % 1.63/1.76 [860]E(x8601,x8602)+~E(f25(f47(x8603,x8604,x8605,x8606),x8601),f25(f47(x8603,x8604,x8605,x8606),x8602))+~P23(f25(f25(f66(x8606),x8602),f64(x8604,x8603,x8605,x8606)))+~P23(f25(f25(f66(x8606),x8601),f64(x8604,x8603,x8605,x8606))) % 1.63/1.76 [806]~P7(x8061,x8066,x8063,x8064)+E(f30(f64(x8061,x8062,x8063,x8064),f64(x8061,x8065,x8063,x8064),f71(x8064,a1)),f64(x8061,f30(x8062,x8065,f71(x8063,a1)),x8063,x8064))+~P23(f25(f25(f67(f71(x8063,a1)),x8065),x8066))+~P23(f25(f25(f67(f71(x8063,a1)),x8062),x8066)) % 1.63/1.76 [827]~P7(x8272,x8276,x8274,x8271)+E(f25(f25(f46(f71(x8271,a1)),f64(x8272,x8273,x8274,x8271)),f64(x8272,x8275,x8274,x8271)),f64(x8272,f25(f25(f46(f71(x8274,a1)),x8273),x8275),x8274,x8271))+~P23(f25(f25(f67(f71(x8274,a1)),x8275),x8276))+~P23(f25(f25(f67(f71(x8274,a1)),x8273),x8276)) % 1.63/1.76 [865]~P23(f25(x8651,x8656))+~P23(f25(f25(f66(x8655),x8656),f25(x8653,x8657)))+P23(f25(x8651,f12(x8652,x8653,x8651,x8654,x8655)))+~P23(f25(f25(f66(x8654),x8657),x8652)) % 1.63/1.76 [940]~P23(f25(x9404,x9406))+~P23(f25(f25(f66(x9401),x9406),f25(x9403,x9407)))+~P23(f25(f25(f66(x9405),x9407),x9402))+P23(f25(f25(f66(x9401),f12(x9402,x9403,x9404,x9405,x9401)),f31(x9402,x9403,x9405,f71(x9401,a1)))) % 1.63/1.76 [996]E(f32(f19(x9961,f32(f19(x9962,x9963,x9964,x9965,x9966),x9967,x9966,x9965),x9965,x9968,x9966),x9967,x9966,x9968),f32(f19(f32(f19(x9961,x9962,x9965,x9968,x9964),x9969,x9964,x9968),x9963,x9964,x9968,x9966),x9967,x9966,x9968))+~P23(f25(f25(f66(f71(x9964,x9965)),x9962),f36(x9969,f27(x99610,f71(x9965,a1),x9964),x9964,x9965)))+~P23(f25(f25(f66(f71(x9966,x9964)),x9963),f36(x9967,f27(x9969,f71(x9964,a1),x9966),x9966,x9964)))+~P23(f25(f25(f66(f71(x9965,x9968)),x9961),f36(x99610,f27(x99611,f71(x9968,a1),x9965),x9965,x9968))) % 1.63/1.76 [883]E(x8831,x8832)+E(x8833,x8832)+P23(f25(f25(f66(f73(a68,a68)),f55(x8832,x8831,a68,a68)),f22(x8834,x8833,x8832)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8833,x8831,a68,a68)),x8834))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8834),a4)) % 1.63/1.76 [884]E(x8841,x8842)+E(x8843,x8842)+P23(f25(f25(f66(f73(a68,a68)),f55(x8842,x8841,a68,a68)),f23(x8844,x8842,x8843)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8843,x8841,a68,a68)),x8844))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8844),a4)) % 1.63/1.76 [885]E(x8851,x8852)+E(x8853,x8852)+P23(f25(f25(f66(f73(a68,a68)),f55(x8853,x8852,a68,a68)),f22(x8854,x8851,x8852)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8853,x8851,a68,a68)),x8854))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8854),a4)) % 1.63/1.76 [886]E(x8861,x8862)+E(x8863,x8862)+P23(f25(f25(f66(f73(a68,a68)),f55(x8863,x8862,a68,a68)),f23(x8864,x8862,x8861)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8863,x8861,a68,a68)),x8864))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8864),a4)) % 1.63/1.76 [887]E(x8871,x8872)+E(x8873,x8871)+P23(f25(f25(f66(f73(a68,a68)),f55(x8873,x8871,a68,a68)),f23(x8874,x8872,x8871)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8873,x8871,a68,a68)),x8874))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8874),a4)) % 1.63/1.76 [889]E(x8891,x8892)+E(x8891,x8893)+P23(f25(f25(f66(f73(a68,a68)),f55(x8892,x8891,a68,a68)),f23(x8894,x8893,x8891)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8892,x8891,a68,a68)),x8894))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8894),a4)) % 1.63/1.76 [890]E(x8901,x8902)+E(x8901,x8903)+P23(f25(f25(f66(f73(a68,a68)),f55(x8901,x8902,a68,a68)),f22(x8904,x8901,x8903)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8901,x8902,a68,a68)),x8904))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8904),a4)) % 1.63/1.76 [770]E(x7701,x7702)+~P9(x7704,x7705,x7703)+~P23(f25(f25(f66(f71(x7703,a1)),x7702),f34(x7704,x7705,x7703)))+~P23(f25(f25(f66(f71(x7703,a1)),x7701),f34(x7704,x7705,x7703)))+E(f25(f25(f46(f71(x7703,a1)),x7701),x7702),f44(f71(x7703,a1))) % 1.63/1.76 [947]~P9(x9475,x9473,x9471)+E(f34(f25(f25(f45(f71(x9471,a1)),f25(f3(f63(x9471),x9471,x9471,a1),x9472)),f44(f71(x9471,a1))),x9473,x9471),f34(f25(f25(f45(f71(x9471,a1)),f25(f3(f63(x9471),x9471,x9471,a1),x9474)),f44(f71(x9471,a1))),x9473,x9471))+~P23(f25(f25(f66(x9471),x9474),x9475))+~P23(f25(f25(f66(x9471),x9472),x9475))+~P23(f25(f25(f66(f73(x9471,x9471)),f55(x9472,x9474,x9471,x9471)),x9473)) % 1.63/1.76 [964]~P9(x9645,x9644,x9641)+~E(f34(f25(f25(f45(f71(x9641,a1)),f25(f3(f63(x9641),x9641,x9641,a1),x9642)),f44(f71(x9641,a1))),x9644,x9641),f34(f25(f25(f45(f71(x9641,a1)),f25(f3(f63(x9641),x9641,x9641,a1),x9643)),f44(f71(x9641,a1))),x9644,x9641))+~P23(f25(f25(f66(x9641),x9643),x9645))+~P23(f25(f25(f66(x9641),x9642),x9645))+P23(f25(f25(f66(f73(x9641,x9641)),f55(x9642,x9643,x9641,x9641)),x9644)) % 1.63/1.76 [671]E(x6711,x6712)+~P7(x6713,x6714,x6715,x6716)+~E(f25(x6713,x6711),f25(x6713,x6712))+~P23(f25(f25(f66(x6715),x6712),x6714))+~P23(f25(f25(f66(x6715),x6711),x6714)) % 1.63/1.76 [828]~P9(x8285,x8284,x8281)+~P23(f25(f25(f66(f71(x8281,a1)),x8286),f34(x8285,x8284,x8281)))+~P23(f25(f25(f66(x8281),x8283),x8286))+P23(f25(f25(f66(f73(x8281,x8281)),f55(x8282,x8283,x8281,x8281)),x8284))+~P23(f25(f25(f66(x8281),x8282),x8286)) % 1.63/1.76 [898]E(x8983,x8981)+E(x8981,x8982)+E(x8983,x8982)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8981,x8983,a68,a68)),f23(x8984,x8981,x8982)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8982,x8983,a68,a68)),x8984))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8984),a4)) % 1.63/1.76 [899]E(x8993,x8991)+E(x8991,x8992)+E(x8993,x8992)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8993,x8991,a68,a68)),f22(x8994,x8992,x8991)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8993,x8992,a68,a68)),x8994))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8994),a4)) % 1.63/1.76 [896]E(x8961,x8962)+E(x8963,x8961)+E(x8964,x8961)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8964,x8963,a68,a68)),f22(x8965,x8962,x8961)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8964,x8963,a68,a68)),x8965))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8965),a4)) % 1.63/1.76 [897]E(x8971,x8972)+E(x8973,x8971)+E(x8974,x8971)+~P23(f25(f25(f66(f73(a68,a68)),f55(x8974,x8973,a68,a68)),f23(x8975,x8971,x8972)))+P23(f25(f25(f66(f73(a68,a68)),f55(x8974,x8973,a68,a68)),x8975))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8975),a4)) % 1.63/1.76 [968]E(x9681,x9682)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9682,x9681,a68,a68)),f25(a72,x9684)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9681,x9682,a68,a68)),f25(a72,x9683)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9681,x9682,a68,a68)),f25(x9683,f79(x9684,x9683,x9682,x9681))))+P23(f25(f25(f66(f73(a68,a68)),f55(x9682,x9681,a68,a68)),f25(x9684,f79(x9684,x9683,x9682,x9681))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9684),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9683),a20)) % 1.63/1.76 [969]E(x9691,x9692)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9692,x9691,a68,a68)),f25(a72,x9694)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9691,x9692,a68,a68)),f25(a72,x9693)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9691,x9692,a68,a68)),f25(x9693,f79(x9693,x9694,x9691,x9692))))+P23(f25(f25(f66(f73(a68,a68)),f55(x9692,x9691,a68,a68)),f25(x9694,f79(x9693,x9694,x9691,x9692))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9694),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9693),a20)) % 1.63/1.76 [980]E(x9801,x9802)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9802,x9801,a68,a68)),f25(a72,x9804)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9801,x9802,a68,a68)),f25(a72,x9803)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9802,x9801,a68,a68)),f25(x9804,f79(x9804,x9803,x9802,x9801))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9801,x9802,a68,a68)),f25(x9803,f79(x9804,x9803,x9802,x9801))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9803),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9804),a20)) % 1.63/1.76 [981]E(x9811,x9812)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9812,x9811,a68,a68)),f25(a72,x9814)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9811,x9812,a68,a68)),f25(a72,x9813)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9812,x9811,a68,a68)),f25(x9814,f79(x9813,x9814,x9811,x9812))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9811,x9812,a68,a68)),f25(x9813,f79(x9813,x9814,x9811,x9812))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9813),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9814),a20)) % 1.63/1.76 [891]E(x8914,x8913)+E(x8911,x8912)+E(x8913,x8912)+E(x8914,x8912)+P23(f25(f25(f66(f73(a68,a68)),f55(x8914,x8913,a68,a68)),f22(x8915,x8911,x8912)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8914,x8913,a68,a68)),x8915))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8915),a4)) % 1.63/1.76 [892]E(x8924,x8923)+E(x8921,x8922)+E(x8923,x8921)+E(x8924,x8921)+P23(f25(f25(f66(f73(a68,a68)),f55(x8924,x8923,a68,a68)),f23(x8925,x8921,x8922)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x8924,x8923,a68,a68)),x8925))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x8925),a4)) % 1.63/1.76 [934]E(x9341,x9342)+E(x9343,x9342)+E(x9344,x9343)+P23(f25(f25(f66(f73(a68,a68)),f55(x9344,x9343,a68,a68)),f22(x9345,x9341,x9342)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9344,x9343,a68,a68)),x9345))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9341,x9343,a68,a68)),x9345))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x9345),a4)) % 1.63/1.76 [935]E(x9351,x9352)+E(x9353,x9351)+E(x9354,x9353)+P23(f25(f25(f66(f73(a68,a68)),f55(x9354,x9353,a68,a68)),f23(x9355,x9351,x9352)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9354,x9353,a68,a68)),x9355))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9352,x9353,a68,a68)),x9355))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x9355),a4)) % 1.63/1.76 [936]E(x9361,x9362)+E(x9363,x9362)+E(x9363,x9364)+P23(f25(f25(f66(f73(a68,a68)),f55(x9363,x9364,a68,a68)),f22(x9365,x9361,x9362)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9363,x9364,a68,a68)),x9365))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9363,x9361,a68,a68)),x9365))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x9365),a4)) % 1.63/1.76 [937]E(x9371,x9372)+E(x9373,x9371)+E(x9373,x9374)+P23(f25(f25(f66(f73(a68,a68)),f55(x9373,x9374,a68,a68)),f23(x9375,x9371,x9372)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9373,x9374,a68,a68)),x9375))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9373,x9372,a68,a68)),x9375))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x9375),a4)) % 1.63/1.76 [954]E(x9541,x9542)+E(x9543,x9544)+P23(f25(f25(f66(f73(a68,a68)),f55(x9543,x9544,a68,a68)),f22(x9545,x9541,x9542)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9543,x9544,a68,a68)),x9545))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9541,x9544,a68,a68)),x9545))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9543,x9541,a68,a68)),x9545))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x9545),a4)) % 1.63/1.76 [955]E(x9551,x9552)+E(x9553,x9554)+P23(f25(f25(f66(f73(a68,a68)),f55(x9553,x9554,a68,a68)),f23(x9555,x9551,x9552)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9553,x9554,a68,a68)),x9555))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9552,x9554,a68,a68)),x9555))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9553,x9552,a68,a68)),x9555))+~P23(f25(f25(f66(f71(f73(a68,a68),a1)),x9555),a4)) % 1.63/1.76 [970]~P5(x9703)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9701,x9702,a68,a68)),f25(x9703,x9705)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9701,x9702,a68,a68)),f25(x9703,x9704)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9701,x9702,a68,a68)),f25(x9704,f77(x9701,x9702,x9705,x9704))))+P23(f25(f25(f66(f73(a68,a68)),f55(x9701,x9702,a68,a68)),f25(x9705,f77(x9701,x9702,x9705,x9704))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9705),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9704),a20)) % 1.63/1.76 [971]~P5(x9713)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9711,x9712,a68,a68)),f25(x9713,x9715)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9711,x9712,a68,a68)),f25(x9713,x9714)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9711,x9712,a68,a68)),f25(x9714,f77(x9711,x9712,x9714,x9715))))+P23(f25(f25(f66(f73(a68,a68)),f55(x9711,x9712,a68,a68)),f25(x9715,f77(x9711,x9712,x9714,x9715))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9715),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9714),a20)) % 1.63/1.76 [982]~P5(x9823)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9821,x9822,a68,a68)),f25(x9823,x9825)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9821,x9822,a68,a68)),f25(x9823,x9824)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9821,x9822,a68,a68)),f25(x9824,f77(x9821,x9822,x9825,x9824))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9821,x9822,a68,a68)),f25(x9825,f77(x9821,x9822,x9825,x9824))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9824),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9825),a20)) % 1.63/1.76 [983]~P5(x9833)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9831,x9832,a68,a68)),f25(x9833,x9835)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9831,x9832,a68,a68)),f25(x9833,x9834)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9831,x9832,a68,a68)),f25(x9834,f77(x9831,x9832,x9834,x9835))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x9831,x9832,a68,a68)),f25(x9835,f77(x9831,x9832,x9834,x9835))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9834),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9835),a20)) % 1.63/1.76 [869]E(x8691,x8692)+~P9(x8693,x8694,x8695)+~P23(f25(f25(f66(f71(x8695,a1)),x8692),f34(x8693,x8694,x8695)))+~P23(f25(f25(f66(f71(x8695,a1)),x8691),f34(x8693,x8694,x8695)))+~P23(f25(f25(f66(f73(x8695,x8695)),f55(x8697,x8696,x8695,x8695)),x8694))+~P23(f25(f25(f66(x8695),x8696),x8692))+~P23(f25(f25(f66(x8695),x8697),x8691)) % 1.63/1.76 [1016]E(x10161,x10162)+E(x10163,x10164)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10161,x10162,a68,a68)),f25(a72,x10166)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10163,x10164,a68,a68)),f25(a72,x10165)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10163,x10164,a68,a68)),f25(x10165,f82(x10166,x10165,x10161,x10163,x10162,x10164))))+P23(f25(f25(f66(f73(a68,a68)),f55(x10161,x10162,a68,a68)),f25(x10166,f82(x10166,x10165,x10161,x10163,x10162,x10164))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10166),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10165),a20)) % 1.63/1.76 [1017]E(x10171,x10172)+E(x10173,x10174)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10171,x10172,a68,a68)),f25(a72,x10176)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10173,x10174,a68,a68)),f25(a72,x10175)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10173,x10174,a68,a68)),f25(x10175,f82(x10175,x10176,x10173,x10171,x10174,x10172))))+P23(f25(f25(f66(f73(a68,a68)),f55(x10171,x10172,a68,a68)),f25(x10176,f82(x10175,x10176,x10173,x10171,x10174,x10172))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10176),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10175),a20)) % 1.63/1.76 [1020]E(x10201,x10202)+E(x10203,x10204)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10201,x10202,a68,a68)),f25(a72,x10206)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10203,x10204,a68,a68)),f25(a72,x10205)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10201,x10202,a68,a68)),f25(x10206,f82(x10206,x10205,x10201,x10203,x10202,x10204))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10203,x10204,a68,a68)),f25(x10205,f82(x10206,x10205,x10201,x10203,x10202,x10204))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10205),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10206),a20)) % 1.63/1.76 [1021]E(x10211,x10212)+E(x10213,x10214)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10211,x10212,a68,a68)),f25(a72,x10216)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10213,x10214,a68,a68)),f25(a72,x10215)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10211,x10212,a68,a68)),f25(x10216,f82(x10215,x10216,x10213,x10211,x10214,x10212))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10213,x10214,a68,a68)),f25(x10215,f82(x10215,x10216,x10213,x10211,x10214,x10212))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10215),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10216),a20)) % 1.63/1.76 [993]E(x9933,x9931)+E(x9931,x9932)+E(x9933,x9932)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9932,x9933,a68,a68)),f25(a72,x9935)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9933,x9931,a68,a68)),f25(a72,x9934)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9933,x9931,a68,a68)),f25(x9934,f81(x9935,x9934,x9932,x9933,x9931))))+P23(f25(f25(f66(f73(a68,a68)),f55(x9932,x9933,a68,a68)),f25(x9935,f81(x9935,x9934,x9932,x9933,x9931))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9935),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9934),a20)) % 1.63/1.76 [994]E(x9943,x9941)+E(x9941,x9942)+E(x9943,x9942)+~P23(f25(f25(f66(f73(a68,a68)),f55(x9941,x9942,a68,a68)),f25(a72,x9945)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9943,x9941,a68,a68)),f25(a72,x9944)))+P23(f25(f25(f66(f73(a68,a68)),f55(x9943,x9941,a68,a68)),f25(x9944,f81(x9944,x9945,x9943,x9941,x9942))))+P23(f25(f25(f66(f73(a68,a68)),f55(x9941,x9942,a68,a68)),f25(x9945,f81(x9944,x9945,x9943,x9941,x9942))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9945),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x9944),a20)) % 1.63/1.76 [1001]E(x10013,x10011)+E(x10011,x10012)+E(x10013,x10012)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10012,x10013,a68,a68)),f25(a72,x10015)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10013,x10011,a68,a68)),f25(a72,x10014)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10012,x10013,a68,a68)),f25(x10015,f81(x10015,x10014,x10012,x10013,x10011))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10013,x10011,a68,a68)),f25(x10014,f81(x10015,x10014,x10012,x10013,x10011))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10014),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10015),a20)) % 1.63/1.76 [1002]E(x10023,x10021)+E(x10021,x10022)+E(x10023,x10022)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10021,x10022,a68,a68)),f25(a72,x10025)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10023,x10021,a68,a68)),f25(a72,x10024)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10021,x10022,a68,a68)),f25(x10025,f81(x10024,x10025,x10023,x10021,x10022))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10023,x10021,a68,a68)),f25(x10024,f81(x10024,x10025,x10023,x10021,x10022))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10024),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10025),a20)) % 1.63/1.76 [1018]E(x10184,x10183)+E(x10181,x10182)+E(x10183,x10181)+E(x10184,x10182)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10181,x10182,a68,a68)),f25(a72,x10186)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10184,x10183,a68,a68)),f25(a72,x10185)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10184,x10183,a68,a68)),f25(x10185,f80(x10186,x10185,x10181,x10184,x10182,x10183))))+P23(f25(f25(f66(f73(a68,a68)),f55(x10181,x10182,a68,a68)),f25(x10186,f80(x10186,x10185,x10181,x10184,x10182,x10183))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10186),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10185),a20)) % 1.63/1.76 [1019]E(x10194,x10193)+E(x10191,x10192)+E(x10193,x10191)+E(x10194,x10192)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10191,x10192,a68,a68)),f25(a72,x10196)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10194,x10193,a68,a68)),f25(a72,x10195)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10194,x10193,a68,a68)),f25(x10195,f80(x10195,x10196,x10194,x10191,x10193,x10192))))+P23(f25(f25(f66(f73(a68,a68)),f55(x10191,x10192,a68,a68)),f25(x10196,f80(x10195,x10196,x10194,x10191,x10193,x10192))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10196),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10195),a20)) % 1.63/1.76 [1022]E(x10224,x10223)+E(x10221,x10222)+E(x10223,x10221)+E(x10224,x10222)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10221,x10222,a68,a68)),f25(a72,x10226)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10224,x10223,a68,a68)),f25(a72,x10225)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10221,x10222,a68,a68)),f25(x10226,f80(x10226,x10225,x10221,x10224,x10222,x10223))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10224,x10223,a68,a68)),f25(x10225,f80(x10226,x10225,x10221,x10224,x10222,x10223))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10225),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10226),a20)) % 1.63/1.76 [1023]E(x10234,x10233)+E(x10231,x10232)+E(x10233,x10231)+E(x10234,x10232)+~P23(f25(f25(f66(f73(a68,a68)),f55(x10231,x10232,a68,a68)),f25(a72,x10236)))+P23(f25(f25(f66(f73(a68,a68)),f55(x10234,x10233,a68,a68)),f25(a72,x10235)))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10231,x10232,a68,a68)),f25(x10236,f80(x10235,x10236,x10234,x10231,x10233,x10232))))+~P23(f25(f25(f66(f73(a68,a68)),f55(x10234,x10233,a68,a68)),f25(x10235,f80(x10235,x10236,x10234,x10231,x10233,x10232))))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10235),a20))+~P23(f25(f25(f66(f71(a69,f71(f73(a68,a68),a1))),x10236),a20)) % 1.63/1.76 %EqnAxiom % 1.63/1.76 [1]E(x11,x11) % 1.63/1.76 [2]E(x22,x21)+~E(x21,x22) % 1.63/1.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.63/1.76 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 1.63/1.76 [5]~E(x51,x52)+E(f25(x51,x53),f25(x52,x53)) % 1.63/1.76 [6]~E(x61,x62)+E(f25(x63,x61),f25(x63,x62)) % 1.63/1.76 [7]~E(x71,x72)+E(f3(x71,x73,x74,x75),f3(x72,x73,x74,x75)) % 1.63/1.76 [8]~E(x81,x82)+E(f3(x83,x81,x84,x85),f3(x83,x82,x84,x85)) % 1.63/1.76 [9]~E(x91,x92)+E(f3(x93,x94,x91,x95),f3(x93,x94,x92,x95)) % 1.63/1.76 [10]~E(x101,x102)+E(f3(x103,x104,x105,x101),f3(x103,x104,x105,x102)) % 1.63/1.76 [11]~E(x111,x112)+E(f71(x111,x113),f71(x112,x113)) % 1.63/1.76 [12]~E(x121,x122)+E(f71(x123,x121),f71(x123,x122)) % 1.63/1.76 [13]~E(x131,x132)+E(f55(x131,x133,x134,x135),f55(x132,x133,x134,x135)) % 1.63/1.76 [14]~E(x141,x142)+E(f55(x143,x141,x144,x145),f55(x143,x142,x144,x145)) % 1.63/1.76 [15]~E(x151,x152)+E(f55(x153,x154,x151,x155),f55(x153,x154,x152,x155)) % 1.63/1.76 [16]~E(x161,x162)+E(f55(x163,x164,x165,x161),f55(x163,x164,x165,x162)) % 1.63/1.76 [17]~E(x171,x172)+E(f26(x171),f26(x172)) % 1.63/1.76 [18]~E(x181,x182)+E(f29(x181,x183),f29(x182,x183)) % 1.63/1.76 [19]~E(x191,x192)+E(f29(x193,x191),f29(x193,x192)) % 1.63/1.76 [20]~E(x201,x202)+E(f63(x201),f63(x202)) % 1.63/1.76 [21]~E(x211,x212)+E(f66(x211),f66(x212)) % 1.63/1.76 [22]~E(x221,x222)+E(f30(x221,x223,x224),f30(x222,x223,x224)) % 1.63/1.76 [23]~E(x231,x232)+E(f30(x233,x231,x234),f30(x233,x232,x234)) % 1.63/1.76 [24]~E(x241,x242)+E(f30(x243,x244,x241),f30(x243,x244,x242)) % 1.63/1.76 [25]~E(x251,x252)+E(f23(x251,x253,x254),f23(x252,x253,x254)) % 1.63/1.76 [26]~E(x261,x262)+E(f23(x263,x261,x264),f23(x263,x262,x264)) % 1.63/1.76 [27]~E(x271,x272)+E(f23(x273,x274,x271),f23(x273,x274,x272)) % 1.63/1.76 [28]~E(x281,x282)+E(f44(x281),f44(x282)) % 1.63/1.76 [29]~E(x291,x292)+E(f8(x291,x293,x294),f8(x292,x293,x294)) % 1.63/1.76 [30]~E(x301,x302)+E(f8(x303,x301,x304),f8(x303,x302,x304)) % 1.63/1.76 [31]~E(x311,x312)+E(f8(x313,x314,x311),f8(x313,x314,x312)) % 1.63/1.76 [32]~E(x321,x322)+E(f45(x321),f45(x322)) % 1.63/1.76 [33]~E(x331,x332)+E(f10(x331,x333,x334,x335),f10(x332,x333,x334,x335)) % 1.63/1.76 [34]~E(x341,x342)+E(f10(x343,x341,x344,x345),f10(x343,x342,x344,x345)) % 1.63/1.76 [35]~E(x351,x352)+E(f10(x353,x354,x351,x355),f10(x353,x354,x352,x355)) % 1.63/1.76 [36]~E(x361,x362)+E(f10(x363,x364,x365,x361),f10(x363,x364,x365,x362)) % 1.63/1.76 [37]~E(x371,x372)+E(f27(x371,x373,x374),f27(x372,x373,x374)) % 1.63/1.76 [38]~E(x381,x382)+E(f27(x383,x381,x384),f27(x383,x382,x384)) % 1.63/1.76 [39]~E(x391,x392)+E(f27(x393,x394,x391),f27(x393,x394,x392)) % 1.63/1.76 [40]~E(x401,x402)+E(f48(x401),f48(x402)) % 1.63/1.76 [41]~E(x411,x412)+E(f77(x411,x413,x414,x415),f77(x412,x413,x414,x415)) % 1.63/1.76 [42]~E(x421,x422)+E(f77(x423,x421,x424,x425),f77(x423,x422,x424,x425)) % 1.63/1.76 [43]~E(x431,x432)+E(f77(x433,x434,x431,x435),f77(x433,x434,x432,x435)) % 1.63/1.76 [44]~E(x441,x442)+E(f77(x443,x444,x445,x441),f77(x443,x444,x445,x442)) % 1.63/1.76 [45]~E(x451,x452)+E(f67(x451),f67(x452)) % 1.63/1.76 [46]~E(x461,x462)+E(f46(x461),f46(x462)) % 1.63/1.76 [47]~E(x471,x472)+E(f64(x471,x473,x474,x475),f64(x472,x473,x474,x475)) % 1.63/1.76 [48]~E(x481,x482)+E(f64(x483,x481,x484,x485),f64(x483,x482,x484,x485)) % 1.63/1.76 [49]~E(x491,x492)+E(f64(x493,x494,x491,x495),f64(x493,x494,x492,x495)) % 1.63/1.76 [50]~E(x501,x502)+E(f64(x503,x504,x505,x501),f64(x503,x504,x505,x502)) % 1.63/1.76 [51]~E(x511,x512)+E(f56(x511,x513,x514,x515),f56(x512,x513,x514,x515)) % 1.63/1.76 [52]~E(x521,x522)+E(f56(x523,x521,x524,x525),f56(x523,x522,x524,x525)) % 1.63/1.76 [53]~E(x531,x532)+E(f56(x533,x534,x531,x535),f56(x533,x534,x532,x535)) % 1.63/1.76 [54]~E(x541,x542)+E(f56(x543,x544,x545,x541),f56(x543,x544,x545,x542)) % 1.63/1.76 [55]~E(x551,x552)+E(f73(x551,x553),f73(x552,x553)) % 1.63/1.76 [56]~E(x561,x562)+E(f73(x563,x561),f73(x563,x562)) % 1.63/1.76 [57]~E(x571,x572)+E(f31(x571,x573,x574,x575),f31(x572,x573,x574,x575)) % 1.63/1.76 [58]~E(x581,x582)+E(f31(x583,x581,x584,x585),f31(x583,x582,x584,x585)) % 1.63/1.76 [59]~E(x591,x592)+E(f31(x593,x594,x591,x595),f31(x593,x594,x592,x595)) % 1.63/1.76 [60]~E(x601,x602)+E(f31(x603,x604,x605,x601),f31(x603,x604,x605,x602)) % 1.63/1.76 [61]~E(x611,x612)+E(f52(x611),f52(x612)) % 1.63/1.76 [62]~E(x621,x622)+E(f82(x621,x623,x624,x625,x626,x627),f82(x622,x623,x624,x625,x626,x627)) % 1.63/1.76 [63]~E(x631,x632)+E(f82(x633,x631,x634,x635,x636,x637),f82(x633,x632,x634,x635,x636,x637)) % 1.63/1.76 [64]~E(x641,x642)+E(f82(x643,x644,x641,x645,x646,x647),f82(x643,x644,x642,x645,x646,x647)) % 1.63/1.76 [65]~E(x651,x652)+E(f82(x653,x654,x655,x651,x656,x657),f82(x653,x654,x655,x652,x656,x657)) % 1.63/1.76 [66]~E(x661,x662)+E(f82(x663,x664,x665,x666,x661,x667),f82(x663,x664,x665,x666,x662,x667)) % 1.63/1.76 [67]~E(x671,x672)+E(f82(x673,x674,x675,x676,x677,x671),f82(x673,x674,x675,x676,x677,x672)) % 1.63/1.76 [68]~E(x681,x682)+E(f22(x681,x683,x684),f22(x682,x683,x684)) % 1.63/1.76 [69]~E(x691,x692)+E(f22(x693,x691,x694),f22(x693,x692,x694)) % 1.63/1.76 [70]~E(x701,x702)+E(f22(x703,x704,x701),f22(x703,x704,x702)) % 1.63/1.76 [71]~E(x711,x712)+E(f65(x711,x713,x714,x715),f65(x712,x713,x714,x715)) % 1.63/1.76 [72]~E(x721,x722)+E(f65(x723,x721,x724,x725),f65(x723,x722,x724,x725)) % 1.63/1.76 [73]~E(x731,x732)+E(f65(x733,x734,x731,x735),f65(x733,x734,x732,x735)) % 1.63/1.76 [74]~E(x741,x742)+E(f65(x743,x744,x745,x741),f65(x743,x744,x745,x742)) % 1.63/1.76 [75]~E(x751,x752)+E(f54(x751,x753,x754,x755),f54(x752,x753,x754,x755)) % 1.63/1.76 [76]~E(x761,x762)+E(f54(x763,x761,x764,x765),f54(x763,x762,x764,x765)) % 1.63/1.76 [77]~E(x771,x772)+E(f54(x773,x774,x771,x775),f54(x773,x774,x772,x775)) % 1.63/1.76 [78]~E(x781,x782)+E(f54(x783,x784,x785,x781),f54(x783,x784,x785,x782)) % 1.63/1.76 [79]~E(x791,x792)+E(f49(x791),f49(x792)) % 1.63/1.76 [80]~E(x801,x802)+E(f9(x801,x803,x804),f9(x802,x803,x804)) % 1.63/1.76 [81]~E(x811,x812)+E(f9(x813,x811,x814),f9(x813,x812,x814)) % 1.63/1.76 [82]~E(x821,x822)+E(f9(x823,x824,x821),f9(x823,x824,x822)) % 1.63/1.76 [83]~E(x831,x832)+E(f81(x831,x833,x834,x835,x836),f81(x832,x833,x834,x835,x836)) % 1.63/1.76 [84]~E(x841,x842)+E(f81(x843,x841,x844,x845,x846),f81(x843,x842,x844,x845,x846)) % 1.63/1.76 [85]~E(x851,x852)+E(f81(x853,x854,x851,x855,x856),f81(x853,x854,x852,x855,x856)) % 1.63/1.76 [86]~E(x861,x862)+E(f81(x863,x864,x865,x861,x866),f81(x863,x864,x865,x862,x866)) % 1.63/1.76 [87]~E(x871,x872)+E(f81(x873,x874,x875,x876,x871),f81(x873,x874,x875,x876,x872)) % 1.63/1.76 [88]~E(x881,x882)+E(f17(x881,x883,x884),f17(x882,x883,x884)) % 1.63/1.76 [89]~E(x891,x892)+E(f17(x893,x891,x894),f17(x893,x892,x894)) % 1.63/1.76 [90]~E(x901,x902)+E(f17(x903,x904,x901),f17(x903,x904,x902)) % 1.63/1.76 [91]~E(x911,x912)+E(f19(x911,x913,x914,x915,x916),f19(x912,x913,x914,x915,x916)) % 1.63/1.76 [92]~E(x921,x922)+E(f19(x923,x921,x924,x925,x926),f19(x923,x922,x924,x925,x926)) % 1.63/1.76 [93]~E(x931,x932)+E(f19(x933,x934,x931,x935,x936),f19(x933,x934,x932,x935,x936)) % 1.63/1.76 [94]~E(x941,x942)+E(f19(x943,x944,x945,x941,x946),f19(x943,x944,x945,x942,x946)) % 1.63/1.76 [95]~E(x951,x952)+E(f19(x953,x954,x955,x956,x951),f19(x953,x954,x955,x956,x952)) % 1.63/1.76 [96]~E(x961,x962)+E(f36(x961,x963,x964,x965),f36(x962,x963,x964,x965)) % 1.63/1.76 [97]~E(x971,x972)+E(f36(x973,x971,x974,x975),f36(x973,x972,x974,x975)) % 1.63/1.76 [98]~E(x981,x982)+E(f36(x983,x984,x981,x985),f36(x983,x984,x982,x985)) % 1.63/1.76 [99]~E(x991,x992)+E(f36(x993,x994,x995,x991),f36(x993,x994,x995,x992)) % 1.63/1.76 [100]~E(x1001,x1002)+E(f32(x1001,x1003,x1004,x1005),f32(x1002,x1003,x1004,x1005)) % 1.63/1.76 [101]~E(x1011,x1012)+E(f32(x1013,x1011,x1014,x1015),f32(x1013,x1012,x1014,x1015)) % 1.63/1.76 [102]~E(x1021,x1022)+E(f32(x1023,x1024,x1021,x1025),f32(x1023,x1024,x1022,x1025)) % 1.63/1.76 [103]~E(x1031,x1032)+E(f32(x1033,x1034,x1035,x1031),f32(x1033,x1034,x1035,x1032)) % 1.63/1.76 [104]~E(x1041,x1042)+E(f13(x1041,x1043,x1044,x1045),f13(x1042,x1043,x1044,x1045)) % 1.63/1.76 [105]~E(x1051,x1052)+E(f13(x1053,x1051,x1054,x1055),f13(x1053,x1052,x1054,x1055)) % 1.63/1.76 [106]~E(x1061,x1062)+E(f13(x1063,x1064,x1061,x1065),f13(x1063,x1064,x1062,x1065)) % 1.63/1.76 [107]~E(x1071,x1072)+E(f13(x1073,x1074,x1075,x1071),f13(x1073,x1074,x1075,x1072)) % 1.63/1.76 [108]~E(x1081,x1082)+E(f24(x1081,x1083),f24(x1082,x1083)) % 1.63/1.76 [109]~E(x1091,x1092)+E(f24(x1093,x1091),f24(x1093,x1092)) % 1.63/1.76 [110]~E(x1101,x1102)+E(f16(x1101,x1103,x1104),f16(x1102,x1103,x1104)) % 1.63/1.76 [111]~E(x1111,x1112)+E(f16(x1113,x1111,x1114),f16(x1113,x1112,x1114)) % 1.63/1.76 [112]~E(x1121,x1122)+E(f16(x1123,x1124,x1121),f16(x1123,x1124,x1122)) % 1.63/1.76 [113]~E(x1131,x1132)+E(f37(x1131,x1133,x1134),f37(x1132,x1133,x1134)) % 1.63/1.76 [114]~E(x1141,x1142)+E(f37(x1143,x1141,x1144),f37(x1143,x1142,x1144)) % 1.63/1.76 [115]~E(x1151,x1152)+E(f37(x1153,x1154,x1151),f37(x1153,x1154,x1152)) % 1.63/1.76 [116]~E(x1161,x1162)+E(f47(x1161,x1163,x1164,x1165),f47(x1162,x1163,x1164,x1165)) % 1.63/1.76 [117]~E(x1171,x1172)+E(f47(x1173,x1171,x1174,x1175),f47(x1173,x1172,x1174,x1175)) % 1.63/1.76 [118]~E(x1181,x1182)+E(f47(x1183,x1184,x1181,x1185),f47(x1183,x1184,x1182,x1185)) % 1.63/1.76 [119]~E(x1191,x1192)+E(f47(x1193,x1194,x1195,x1191),f47(x1193,x1194,x1195,x1192)) % 1.63/1.76 [120]~E(x1201,x1202)+E(f34(x1201,x1203,x1204),f34(x1202,x1203,x1204)) % 1.63/1.76 [121]~E(x1211,x1212)+E(f34(x1213,x1211,x1214),f34(x1213,x1212,x1214)) % 1.63/1.76 [122]~E(x1221,x1222)+E(f34(x1223,x1224,x1221),f34(x1223,x1224,x1222)) % 1.63/1.76 [123]~E(x1231,x1232)+E(f5(x1231,x1233,x1234),f5(x1232,x1233,x1234)) % 1.63/1.76 [124]~E(x1241,x1242)+E(f5(x1243,x1241,x1244),f5(x1243,x1242,x1244)) % 1.63/1.76 [125]~E(x1251,x1252)+E(f5(x1253,x1254,x1251),f5(x1253,x1254,x1252)) % 1.63/1.76 [126]~E(x1261,x1262)+E(f51(x1261,x1263,x1264,x1265),f51(x1262,x1263,x1264,x1265)) % 1.63/1.76 [127]~E(x1271,x1272)+E(f51(x1273,x1271,x1274,x1275),f51(x1273,x1272,x1274,x1275)) % 1.63/1.76 [128]~E(x1281,x1282)+E(f51(x1283,x1284,x1281,x1285),f51(x1283,x1284,x1282,x1285)) % 1.63/1.76 [129]~E(x1291,x1292)+E(f51(x1293,x1294,x1295,x1291),f51(x1293,x1294,x1295,x1292)) % 1.63/1.76 [130]~E(x1301,x1302)+E(f79(x1301,x1303,x1304,x1305),f79(x1302,x1303,x1304,x1305)) % 1.63/1.76 [131]~E(x1311,x1312)+E(f79(x1313,x1311,x1314,x1315),f79(x1313,x1312,x1314,x1315)) % 1.63/1.76 [132]~E(x1321,x1322)+E(f79(x1323,x1324,x1321,x1325),f79(x1323,x1324,x1322,x1325)) % 1.63/1.76 [133]~E(x1331,x1332)+E(f79(x1333,x1334,x1335,x1331),f79(x1333,x1334,x1335,x1332)) % 1.63/1.76 [134]~E(x1341,x1342)+E(f40(x1341,x1343,x1344,x1345,x1346),f40(x1342,x1343,x1344,x1345,x1346)) % 1.63/1.76 [135]~E(x1351,x1352)+E(f40(x1353,x1351,x1354,x1355,x1356),f40(x1353,x1352,x1354,x1355,x1356)) % 1.63/1.76 [136]~E(x1361,x1362)+E(f40(x1363,x1364,x1361,x1365,x1366),f40(x1363,x1364,x1362,x1365,x1366)) % 1.63/1.76 [137]~E(x1371,x1372)+E(f40(x1373,x1374,x1375,x1371,x1376),f40(x1373,x1374,x1375,x1372,x1376)) % 1.63/1.76 [138]~E(x1381,x1382)+E(f40(x1383,x1384,x1385,x1386,x1381),f40(x1383,x1384,x1385,x1386,x1382)) % 1.63/1.76 [139]~E(x1391,x1392)+E(f53(x1391,x1393,x1394),f53(x1392,x1393,x1394)) % 1.63/1.76 [140]~E(x1401,x1402)+E(f53(x1403,x1401,x1404),f53(x1403,x1402,x1404)) % 1.63/1.76 [141]~E(x1411,x1412)+E(f53(x1413,x1414,x1411),f53(x1413,x1414,x1412)) % 1.63/1.76 [142]~E(x1421,x1422)+E(f21(x1421,x1423),f21(x1422,x1423)) % 1.63/1.76 [143]~E(x1431,x1432)+E(f21(x1433,x1431),f21(x1433,x1432)) % 1.63/1.76 [144]~E(x1441,x1442)+E(f18(x1441,x1443,x1444,x1445),f18(x1442,x1443,x1444,x1445)) % 1.63/1.76 [145]~E(x1451,x1452)+E(f18(x1453,x1451,x1454,x1455),f18(x1453,x1452,x1454,x1455)) % 1.63/1.76 [146]~E(x1461,x1462)+E(f18(x1463,x1464,x1461,x1465),f18(x1463,x1464,x1462,x1465)) % 1.63/1.76 [147]~E(x1471,x1472)+E(f18(x1473,x1474,x1475,x1471),f18(x1473,x1474,x1475,x1472)) % 1.63/1.76 [148]~E(x1481,x1482)+E(f42(x1481,x1483,x1484,x1485,x1486),f42(x1482,x1483,x1484,x1485,x1486)) % 1.63/1.76 [149]~E(x1491,x1492)+E(f42(x1493,x1491,x1494,x1495,x1496),f42(x1493,x1492,x1494,x1495,x1496)) % 1.63/1.76 [150]~E(x1501,x1502)+E(f42(x1503,x1504,x1501,x1505,x1506),f42(x1503,x1504,x1502,x1505,x1506)) % 1.63/1.76 [151]~E(x1511,x1512)+E(f42(x1513,x1514,x1515,x1511,x1516),f42(x1513,x1514,x1515,x1512,x1516)) % 1.63/1.76 [152]~E(x1521,x1522)+E(f42(x1523,x1524,x1525,x1526,x1521),f42(x1523,x1524,x1525,x1526,x1522)) % 1.63/1.76 [153]~E(x1531,x1532)+E(f14(x1531,x1533,x1534,x1535,x1536),f14(x1532,x1533,x1534,x1535,x1536)) % 1.63/1.76 [154]~E(x1541,x1542)+E(f14(x1543,x1541,x1544,x1545,x1546),f14(x1543,x1542,x1544,x1545,x1546)) % 1.63/1.76 [155]~E(x1551,x1552)+E(f14(x1553,x1554,x1551,x1555,x1556),f14(x1553,x1554,x1552,x1555,x1556)) % 1.63/1.76 [156]~E(x1561,x1562)+E(f14(x1563,x1564,x1565,x1561,x1566),f14(x1563,x1564,x1565,x1562,x1566)) % 1.63/1.76 [157]~E(x1571,x1572)+E(f14(x1573,x1574,x1575,x1576,x1571),f14(x1573,x1574,x1575,x1576,x1572)) % 1.63/1.76 [158]~E(x1581,x1582)+E(f76(x1581,x1583),f76(x1582,x1583)) % 1.63/1.76 [159]~E(x1591,x1592)+E(f76(x1593,x1591),f76(x1593,x1592)) % 1.63/1.76 [160]~E(x1601,x1602)+E(f57(x1601,x1603,x1604),f57(x1602,x1603,x1604)) % 1.63/1.76 [161]~E(x1611,x1612)+E(f57(x1613,x1611,x1614),f57(x1613,x1612,x1614)) % 1.63/1.76 [162]~E(x1621,x1622)+E(f57(x1623,x1624,x1621),f57(x1623,x1624,x1622)) % 1.63/1.76 [163]~E(x1631,x1632)+E(f78(x1631,x1633,x1634),f78(x1632,x1633,x1634)) % 1.63/1.76 [164]~E(x1641,x1642)+E(f78(x1643,x1641,x1644),f78(x1643,x1642,x1644)) % 1.63/1.76 [165]~E(x1651,x1652)+E(f78(x1653,x1654,x1651),f78(x1653,x1654,x1652)) % 1.63/1.76 [166]~E(x1661,x1662)+E(f39(x1661,x1663,x1664,x1665,x1666),f39(x1662,x1663,x1664,x1665,x1666)) % 1.63/1.76 [167]~E(x1671,x1672)+E(f39(x1673,x1671,x1674,x1675,x1676),f39(x1673,x1672,x1674,x1675,x1676)) % 1.63/1.76 [168]~E(x1681,x1682)+E(f39(x1683,x1684,x1681,x1685,x1686),f39(x1683,x1684,x1682,x1685,x1686)) % 1.63/1.76 [169]~E(x1691,x1692)+E(f39(x1693,x1694,x1695,x1691,x1696),f39(x1693,x1694,x1695,x1692,x1696)) % 1.63/1.76 [170]~E(x1701,x1702)+E(f39(x1703,x1704,x1705,x1706,x1701),f39(x1703,x1704,x1705,x1706,x1702)) % 1.63/1.76 [171]~E(x1711,x1712)+E(f33(x1711,x1713,x1714,x1715,x1716),f33(x1712,x1713,x1714,x1715,x1716)) % 1.63/1.76 [172]~E(x1721,x1722)+E(f33(x1723,x1721,x1724,x1725,x1726),f33(x1723,x1722,x1724,x1725,x1726)) % 1.63/1.76 [173]~E(x1731,x1732)+E(f33(x1733,x1734,x1731,x1735,x1736),f33(x1733,x1734,x1732,x1735,x1736)) % 1.63/1.76 [174]~E(x1741,x1742)+E(f33(x1743,x1744,x1745,x1741,x1746),f33(x1743,x1744,x1745,x1742,x1746)) % 1.63/1.76 [175]~E(x1751,x1752)+E(f33(x1753,x1754,x1755,x1756,x1751),f33(x1753,x1754,x1755,x1756,x1752)) % 1.63/1.76 [176]~E(x1761,x1762)+E(f12(x1761,x1763,x1764,x1765,x1766),f12(x1762,x1763,x1764,x1765,x1766)) % 1.63/1.76 [177]~E(x1771,x1772)+E(f12(x1773,x1771,x1774,x1775,x1776),f12(x1773,x1772,x1774,x1775,x1776)) % 1.63/1.76 [178]~E(x1781,x1782)+E(f12(x1783,x1784,x1781,x1785,x1786),f12(x1783,x1784,x1782,x1785,x1786)) % 1.63/1.76 [179]~E(x1791,x1792)+E(f12(x1793,x1794,x1795,x1791,x1796),f12(x1793,x1794,x1795,x1792,x1796)) % 1.63/1.76 [180]~E(x1801,x1802)+E(f12(x1803,x1804,x1805,x1806,x1801),f12(x1803,x1804,x1805,x1806,x1802)) % 1.63/1.76 [181]~E(x1811,x1812)+E(f11(x1811,x1813,x1814,x1815),f11(x1812,x1813,x1814,x1815)) % 1.63/1.76 [182]~E(x1821,x1822)+E(f11(x1823,x1821,x1824,x1825),f11(x1823,x1822,x1824,x1825)) % 1.63/1.76 [183]~E(x1831,x1832)+E(f11(x1833,x1834,x1831,x1835),f11(x1833,x1834,x1832,x1835)) % 1.63/1.76 [184]~E(x1841,x1842)+E(f11(x1843,x1844,x1845,x1841),f11(x1843,x1844,x1845,x1842)) % 1.63/1.76 [185]~E(x1851,x1852)+E(f41(x1851,x1853,x1854,x1855,x1856),f41(x1852,x1853,x1854,x1855,x1856)) % 1.63/1.76 [186]~E(x1861,x1862)+E(f41(x1863,x1861,x1864,x1865,x1866),f41(x1863,x1862,x1864,x1865,x1866)) % 1.63/1.76 [187]~E(x1871,x1872)+E(f41(x1873,x1874,x1871,x1875,x1876),f41(x1873,x1874,x1872,x1875,x1876)) % 1.63/1.76 [188]~E(x1881,x1882)+E(f41(x1883,x1884,x1885,x1881,x1886),f41(x1883,x1884,x1885,x1882,x1886)) % 1.63/1.76 [189]~E(x1891,x1892)+E(f41(x1893,x1894,x1895,x1896,x1891),f41(x1893,x1894,x1895,x1896,x1892)) % 1.63/1.76 [190]~E(x1901,x1902)+E(f43(x1901,x1903,x1904,x1905,x1906),f43(x1902,x1903,x1904,x1905,x1906)) % 1.63/1.76 [191]~E(x1911,x1912)+E(f43(x1913,x1911,x1914,x1915,x1916),f43(x1913,x1912,x1914,x1915,x1916)) % 1.63/1.76 [192]~E(x1921,x1922)+E(f43(x1923,x1924,x1921,x1925,x1926),f43(x1923,x1924,x1922,x1925,x1926)) % 1.63/1.76 [193]~E(x1931,x1932)+E(f43(x1933,x1934,x1935,x1931,x1936),f43(x1933,x1934,x1935,x1932,x1936)) % 1.63/1.76 [194]~E(x1941,x1942)+E(f43(x1943,x1944,x1945,x1946,x1941),f43(x1943,x1944,x1945,x1946,x1942)) % 1.63/1.76 [195]~E(x1951,x1952)+E(f80(x1951,x1953,x1954,x1955,x1956,x1957),f80(x1952,x1953,x1954,x1955,x1956,x1957)) % 1.63/1.76 [196]~E(x1961,x1962)+E(f80(x1963,x1961,x1964,x1965,x1966,x1967),f80(x1963,x1962,x1964,x1965,x1966,x1967)) % 1.63/1.76 [197]~E(x1971,x1972)+E(f80(x1973,x1974,x1971,x1975,x1976,x1977),f80(x1973,x1974,x1972,x1975,x1976,x1977)) % 1.63/1.76 [198]~E(x1981,x1982)+E(f80(x1983,x1984,x1985,x1981,x1986,x1987),f80(x1983,x1984,x1985,x1982,x1986,x1987)) % 1.63/1.76 [199]~E(x1991,x1992)+E(f80(x1993,x1994,x1995,x1996,x1991,x1997),f80(x1993,x1994,x1995,x1996,x1992,x1997)) % 1.63/1.76 [200]~E(x2001,x2002)+E(f80(x2003,x2004,x2005,x2006,x2007,x2001),f80(x2003,x2004,x2005,x2006,x2007,x2002)) % 1.63/1.76 [201]~E(x2011,x2012)+E(f28(x2011),f28(x2012)) % 1.63/1.76 [202]~E(x2021,x2022)+E(f59(x2021,x2023,x2024,x2025,x2026),f59(x2022,x2023,x2024,x2025,x2026)) % 1.63/1.76 [203]~E(x2031,x2032)+E(f59(x2033,x2031,x2034,x2035,x2036),f59(x2033,x2032,x2034,x2035,x2036)) % 1.63/1.76 [204]~E(x2041,x2042)+E(f59(x2043,x2044,x2041,x2045,x2046),f59(x2043,x2044,x2042,x2045,x2046)) % 1.63/1.76 [205]~E(x2051,x2052)+E(f59(x2053,x2054,x2055,x2051,x2056),f59(x2053,x2054,x2055,x2052,x2056)) % 1.63/1.76 [206]~E(x2061,x2062)+E(f59(x2063,x2064,x2065,x2066,x2061),f59(x2063,x2064,x2065,x2066,x2062)) % 1.63/1.76 [207]~E(x2071,x2072)+E(f38(x2071,x2073,x2074,x2075,x2076),f38(x2072,x2073,x2074,x2075,x2076)) % 1.63/1.76 [208]~E(x2081,x2082)+E(f38(x2083,x2081,x2084,x2085,x2086),f38(x2083,x2082,x2084,x2085,x2086)) % 1.63/1.76 [209]~E(x2091,x2092)+E(f38(x2093,x2094,x2091,x2095,x2096),f38(x2093,x2094,x2092,x2095,x2096)) % 1.63/1.76 [210]~E(x2101,x2102)+E(f38(x2103,x2104,x2105,x2101,x2106),f38(x2103,x2104,x2105,x2102,x2106)) % 1.63/1.76 [211]~E(x2111,x2112)+E(f38(x2113,x2114,x2115,x2116,x2111),f38(x2113,x2114,x2115,x2116,x2112)) % 1.63/1.76 [212]~E(x2121,x2122)+E(f62(x2121,x2123,x2124,x2125),f62(x2122,x2123,x2124,x2125)) % 1.63/1.76 [213]~E(x2131,x2132)+E(f62(x2133,x2131,x2134,x2135),f62(x2133,x2132,x2134,x2135)) % 1.63/1.76 [214]~E(x2141,x2142)+E(f62(x2143,x2144,x2141,x2145),f62(x2143,x2144,x2142,x2145)) % 1.63/1.76 [215]~E(x2151,x2152)+E(f62(x2153,x2154,x2155,x2151),f62(x2153,x2154,x2155,x2152)) % 1.63/1.76 [216]~E(x2161,x2162)+E(f15(x2161,x2163,x2164),f15(x2162,x2163,x2164)) % 1.63/1.76 [217]~E(x2171,x2172)+E(f15(x2173,x2171,x2174),f15(x2173,x2172,x2174)) % 1.63/1.76 [218]~E(x2181,x2182)+E(f15(x2183,x2184,x2181),f15(x2183,x2184,x2182)) % 1.63/1.76 [219]~E(x2191,x2192)+E(f6(x2191,x2193,x2194),f6(x2192,x2193,x2194)) % 1.63/1.76 [220]~E(x2201,x2202)+E(f6(x2203,x2201,x2204),f6(x2203,x2202,x2204)) % 1.63/1.76 [221]~E(x2211,x2212)+E(f6(x2213,x2214,x2211),f6(x2213,x2214,x2212)) % 1.63/1.76 [222]~E(x2221,x2222)+E(f50(x2221,x2223),f50(x2222,x2223)) % 1.63/1.76 [223]~E(x2231,x2232)+E(f50(x2233,x2231),f50(x2233,x2232)) % 1.63/1.76 [224]~E(x2241,x2242)+E(f60(x2241,x2243,x2244),f60(x2242,x2243,x2244)) % 1.63/1.76 [225]~E(x2251,x2252)+E(f60(x2253,x2251,x2254),f60(x2253,x2252,x2254)) % 1.63/1.76 [226]~E(x2261,x2262)+E(f60(x2263,x2264,x2261),f60(x2263,x2264,x2262)) % 1.63/1.76 [227]~E(x2271,x2272)+E(f35(x2271,x2273,x2274,x2275),f35(x2272,x2273,x2274,x2275)) % 1.63/1.76 [228]~E(x2281,x2282)+E(f35(x2283,x2281,x2284,x2285),f35(x2283,x2282,x2284,x2285)) % 1.63/1.76 [229]~E(x2291,x2292)+E(f35(x2293,x2294,x2291,x2295),f35(x2293,x2294,x2292,x2295)) % 1.63/1.76 [230]~E(x2301,x2302)+E(f35(x2303,x2304,x2305,x2301),f35(x2303,x2304,x2305,x2302)) % 1.63/1.76 [231]~E(x2311,x2312)+E(f58(x2311,x2313,x2314,x2315),f58(x2312,x2313,x2314,x2315)) % 1.63/1.76 [232]~E(x2321,x2322)+E(f58(x2323,x2321,x2324,x2325),f58(x2323,x2322,x2324,x2325)) % 1.63/1.76 [233]~E(x2331,x2332)+E(f58(x2333,x2334,x2331,x2335),f58(x2333,x2334,x2332,x2335)) % 1.63/1.76 [234]~E(x2341,x2342)+E(f58(x2343,x2344,x2345,x2341),f58(x2343,x2344,x2345,x2342)) % 1.63/1.76 [235]~E(x2351,x2352)+E(f7(x2351,x2353,x2354),f7(x2352,x2353,x2354)) % 1.63/1.76 [236]~E(x2361,x2362)+E(f7(x2363,x2361,x2364),f7(x2363,x2362,x2364)) % 1.63/1.76 [237]~E(x2371,x2372)+E(f7(x2373,x2374,x2371),f7(x2373,x2374,x2372)) % 1.63/1.76 [238]~E(x2381,x2382)+E(f61(x2381,x2383,x2384),f61(x2382,x2383,x2384)) % 1.63/1.76 [239]~E(x2391,x2392)+E(f61(x2393,x2391,x2394),f61(x2393,x2392,x2394)) % 1.63/1.76 [240]~E(x2401,x2402)+E(f61(x2403,x2404,x2401),f61(x2403,x2404,x2402)) % 1.63/1.76 [241]~P1(x2411)+P1(x2412)+~E(x2411,x2412) % 1.63/1.76 [242]P10(x2422,x2423,x2424,x2425,x2426,x2427,x2428,x2429,x24210)+~E(x2421,x2422)+~P10(x2421,x2423,x2424,x2425,x2426,x2427,x2428,x2429,x24210) % 1.63/1.76 [243]P10(x2433,x2432,x2434,x2435,x2436,x2437,x2438,x2439,x24310)+~E(x2431,x2432)+~P10(x2433,x2431,x2434,x2435,x2436,x2437,x2438,x2439,x24310) % 1.63/1.76 [244]P10(x2443,x2444,x2442,x2445,x2446,x2447,x2448,x2449,x24410)+~E(x2441,x2442)+~P10(x2443,x2444,x2441,x2445,x2446,x2447,x2448,x2449,x24410) % 1.63/1.76 [245]P10(x2453,x2454,x2455,x2452,x2456,x2457,x2458,x2459,x24510)+~E(x2451,x2452)+~P10(x2453,x2454,x2455,x2451,x2456,x2457,x2458,x2459,x24510) % 1.63/1.76 [246]P10(x2463,x2464,x2465,x2466,x2462,x2467,x2468,x2469,x24610)+~E(x2461,x2462)+~P10(x2463,x2464,x2465,x2466,x2461,x2467,x2468,x2469,x24610) % 1.63/1.76 [247]P10(x2473,x2474,x2475,x2476,x2477,x2472,x2478,x2479,x24710)+~E(x2471,x2472)+~P10(x2473,x2474,x2475,x2476,x2477,x2471,x2478,x2479,x24710) % 1.63/1.76 [248]P10(x2483,x2484,x2485,x2486,x2487,x2488,x2482,x2489,x24810)+~E(x2481,x2482)+~P10(x2483,x2484,x2485,x2486,x2487,x2488,x2481,x2489,x24810) % 1.63/1.76 [249]P10(x2493,x2494,x2495,x2496,x2497,x2498,x2499,x2492,x24910)+~E(x2491,x2492)+~P10(x2493,x2494,x2495,x2496,x2497,x2498,x2499,x2491,x24910) % 1.63/1.76 [250]P10(x2503,x2504,x2505,x2506,x2507,x2508,x2509,x25010,x2502)+~E(x2501,x2502)+~P10(x2503,x2504,x2505,x2506,x2507,x2508,x2509,x25010,x2501) % 1.63/1.76 [251]~P16(x2511)+P16(x2512)+~E(x2511,x2512) % 1.63/1.76 [252]~P23(x2521)+P23(x2522)+~E(x2521,x2522) % 1.63/1.76 [253]~P21(x2531)+P21(x2532)+~E(x2531,x2532) % 1.63/1.76 [254]~P4(x2541)+P4(x2542)+~E(x2541,x2542) % 1.63/1.76 [255]~P2(x2551)+P2(x2552)+~E(x2551,x2552) % 1.63/1.76 [256]~P15(x2561)+P15(x2562)+~E(x2561,x2562) % 1.63/1.76 [257]~P22(x2571)+P22(x2572)+~E(x2571,x2572) % 1.63/1.76 [258]~P14(x2581)+P14(x2582)+~E(x2581,x2582) % 1.63/1.76 [259]~P3(x2591)+P3(x2592)+~E(x2591,x2592) % 1.63/1.76 [260]P7(x2602,x2603,x2604,x2605)+~E(x2601,x2602)+~P7(x2601,x2603,x2604,x2605) % 1.63/1.76 [261]P7(x2613,x2612,x2614,x2615)+~E(x2611,x2612)+~P7(x2613,x2611,x2614,x2615) % 1.63/1.76 [262]P7(x2623,x2624,x2622,x2625)+~E(x2621,x2622)+~P7(x2623,x2624,x2621,x2625) % 1.63/1.76 [263]P7(x2633,x2634,x2635,x2632)+~E(x2631,x2632)+~P7(x2633,x2634,x2635,x2631) % 1.63/1.76 [264]~P17(x2641)+P17(x2642)+~E(x2641,x2642) % 1.63/1.76 [265]P11(x2652,x2653,x2654,x2655,x2656)+~E(x2651,x2652)+~P11(x2651,x2653,x2654,x2655,x2656) % 1.63/1.76 [266]P11(x2663,x2662,x2664,x2665,x2666)+~E(x2661,x2662)+~P11(x2663,x2661,x2664,x2665,x2666) % 1.63/1.76 [267]P11(x2673,x2674,x2672,x2675,x2676)+~E(x2671,x2672)+~P11(x2673,x2674,x2671,x2675,x2676) % 1.63/1.76 [268]P11(x2683,x2684,x2685,x2682,x2686)+~E(x2681,x2682)+~P11(x2683,x2684,x2685,x2681,x2686) % 1.63/1.76 [269]P11(x2693,x2694,x2695,x2696,x2692)+~E(x2691,x2692)+~P11(x2693,x2694,x2695,x2696,x2691) % 1.63/1.76 [270]~P24(x2701)+P24(x2702)+~E(x2701,x2702) % 1.63/1.76 [271]~P13(x2711)+P13(x2712)+~E(x2711,x2712) % 1.63/1.76 [272]P12(x2722,x2723,x2724,x2725)+~E(x2721,x2722)+~P12(x2721,x2723,x2724,x2725) % 1.63/1.76 [273]P12(x2733,x2732,x2734,x2735)+~E(x2731,x2732)+~P12(x2733,x2731,x2734,x2735) % 1.63/1.76 [274]P12(x2743,x2744,x2742,x2745)+~E(x2741,x2742)+~P12(x2743,x2744,x2741,x2745) % 1.63/1.76 [275]P12(x2753,x2754,x2755,x2752)+~E(x2751,x2752)+~P12(x2753,x2754,x2755,x2751) % 1.63/1.76 [276]~P18(x2761)+P18(x2762)+~E(x2761,x2762) % 1.63/1.76 [277]~P19(x2771)+P19(x2772)+~E(x2771,x2772) % 1.63/1.76 [278]P9(x2782,x2783,x2784)+~E(x2781,x2782)+~P9(x2781,x2783,x2784) % 1.63/1.76 [279]P9(x2793,x2792,x2794)+~E(x2791,x2792)+~P9(x2793,x2791,x2794) % 1.63/1.76 [280]P9(x2803,x2804,x2802)+~E(x2801,x2802)+~P9(x2803,x2804,x2801) % 1.63/1.76 [281]~P5(x2811)+P5(x2812)+~E(x2811,x2812) % 1.63/1.76 [282]~P6(x2821)+P6(x2822)+~E(x2821,x2822) % 1.63/1.76 [283]P8(x2832,x2833,x2834,x2835,x2836,x2837)+~E(x2831,x2832)+~P8(x2831,x2833,x2834,x2835,x2836,x2837) % 1.63/1.76 [284]P8(x2843,x2842,x2844,x2845,x2846,x2847)+~E(x2841,x2842)+~P8(x2843,x2841,x2844,x2845,x2846,x2847) % 1.63/1.76 [285]P8(x2853,x2854,x2852,x2855,x2856,x2857)+~E(x2851,x2852)+~P8(x2853,x2854,x2851,x2855,x2856,x2857) % 1.63/1.76 [286]P8(x2863,x2864,x2865,x2862,x2866,x2867)+~E(x2861,x2862)+~P8(x2863,x2864,x2865,x2861,x2866,x2867) % 1.63/1.76 [287]P8(x2873,x2874,x2875,x2876,x2872,x2877)+~E(x2871,x2872)+~P8(x2873,x2874,x2875,x2876,x2871,x2877) % 1.63/1.76 [288]P8(x2883,x2884,x2885,x2886,x2887,x2882)+~E(x2881,x2882)+~P8(x2883,x2884,x2885,x2886,x2887,x2881) % 1.63/1.76 [289]~P20(x2891)+P20(x2892)+~E(x2891,x2892) % 1.63/1.76 % 1.63/1.76 %------------------------------------------- % 1.63/1.76 cnf(1061,plain, % 1.63/1.76 (~P9(x10611,x10612,x10613)+~P23(f25(f25(f66(x10613),x10614),x10611))+P23(f25(f25(f66(f73(x10613,x10613)),f55(x10614,x10614,x10613,x10613)),x10612))), % 1.63/1.76 inference(equality_inference,[],[965])). % 1.63/1.76 cnf(1105,plain, % 1.63/1.76 (E(f64(f2(x11051),x11052,x11051,x11051),x11052)), % 1.63/1.76 inference(rename_variables,[],[334])). % 1.63/1.76 cnf(1118,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x11181,a1)),f64(x11182,f65(x11182,x11183,x11184,x11181),x11184,x11181)),x11183))), % 1.63/1.76 inference(rename_variables,[],[419])). % 1.63/1.76 cnf(1127,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x11271,x11272)),f32(x11273,x11274,x11271,x11272)),f37(x11274,x11271,x11272)))), % 1.63/1.76 inference(rename_variables,[],[408])). % 1.63/1.76 cnf(1133,plain, % 1.63/1.76 (~P23(f25(f25(f66(x11331),x11332),f44(f71(x11331,a1))))), % 1.63/1.76 inference(rename_variables,[],[452])). % 1.63/1.76 cnf(1140,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x11401,a1)),x11402),f29(x11402,x11401)))), % 1.63/1.76 inference(rename_variables,[],[351])). % 1.63/1.76 cnf(1156,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x11561,a1)),x11562),x11562))), % 1.63/1.76 inference(rename_variables,[],[341])). % 1.63/1.76 cnf(1161,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x11611,a1)),x11612),f25(f25(f45(f71(x11611,a1)),x11613),x11612)))), % 1.63/1.76 inference(rename_variables,[],[372])). % 1.63/1.76 cnf(1164,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x11641,a1)),x11642),f25(f25(f45(f71(x11641,a1)),x11643),x11642)))), % 1.63/1.76 inference(rename_variables,[],[372])). % 1.63/1.76 cnf(1169,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x11691,a1)),f64(x11692,f65(x11692,x11693,x11694,x11691),x11694,x11691)),x11693))), % 1.63/1.76 inference(rename_variables,[],[419])). % 1.63/1.76 cnf(1174,plain, % 1.63/1.76 (~P23(f25(f25(f66(x11741),x11742),f44(f71(x11741,a1))))), % 1.63/1.76 inference(rename_variables,[],[452])). % 1.63/1.76 cnf(1189,plain, % 1.63/1.76 (~P23(f25(f25(f66(x11891),x11892),f44(f71(x11891,a1))))), % 1.63/1.76 inference(rename_variables,[],[452])). % 1.63/1.76 cnf(1192,plain, % 1.63/1.76 (P23(f25(f25(f66(x11921),x11922),f52(f71(x11921,a1))))), % 1.63/1.76 inference(rename_variables,[],[328])). % 1.63/1.76 cnf(1197,plain, % 1.63/1.76 (~P23(f25(f25(f66(x11971),x11972),f44(f71(x11971,a1))))), % 1.63/1.76 inference(rename_variables,[],[452])). % 1.63/1.76 cnf(1222,plain, % 1.63/1.76 (~E(f25(f25(f45(f71(x12221,a1)),f25(f3(f63(x12221),x12221,x12221,a1),x12222)),x12223),f44(f71(x12221,a1)))), % 1.63/1.76 inference(rename_variables,[],[456])). % 1.63/1.76 cnf(1225,plain, % 1.63/1.76 (~E(f25(f25(f45(f71(x12251,a1)),f25(f3(f63(x12251),x12251,x12251,a1),x12252)),x12253),f44(f71(x12251,a1)))), % 1.63/1.76 inference(rename_variables,[],[456])). % 1.63/1.76 cnf(1228,plain, % 1.63/1.76 (~E(f25(f25(f45(f71(x12281,a1)),f25(f3(f63(x12281),x12281,x12281,a1),x12282)),x12283),f44(f71(x12281,a1)))), % 1.63/1.76 inference(rename_variables,[],[456])). % 1.63/1.76 cnf(1231,plain, % 1.63/1.76 (~E(f25(f25(f45(f71(x12311,a1)),f25(f3(f63(x12311),x12311,x12311,a1),x12312)),x12313),f44(f71(x12311,a1)))), % 1.63/1.76 inference(rename_variables,[],[456])). % 1.63/1.76 cnf(1234,plain, % 1.63/1.76 (~E(f25(f25(f45(f71(x12341,a1)),f25(f3(f63(x12341),x12341,x12341,a1),x12342)),x12343),f44(f71(x12341,a1)))), % 1.63/1.76 inference(rename_variables,[],[456])). % 1.63/1.76 cnf(1237,plain, % 1.63/1.76 (~E(f25(f25(f45(f71(x12371,a1)),f25(f3(f63(x12371),x12371,x12371,a1),x12372)),x12373),f44(f71(x12371,a1)))), % 1.63/1.76 inference(rename_variables,[],[456])). % 1.63/1.76 cnf(1240,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x12401,a1)),f64(x12402,f65(x12402,x12403,x12404,x12401),x12404,x12401)),x12403))), % 1.63/1.76 inference(rename_variables,[],[419])). % 1.63/1.76 cnf(1243,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x12431,a1)),f64(x12432,f65(x12432,x12433,x12434,x12431),x12434,x12431)),x12433))), % 1.63/1.76 inference(rename_variables,[],[419])). % 1.63/1.76 cnf(1246,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x12461,x12462)),f32(x12463,x12464,x12461,x12462)),f37(x12464,x12461,x12462)))), % 1.63/1.76 inference(rename_variables,[],[408])). % 1.63/1.76 cnf(1252,plain, % 1.63/1.76 (P23(f25(f25(f66(x12521),x12522),f25(f25(f45(f71(x12521,a1)),f25(f3(f63(x12521),x12521,x12521,a1),x12522)),x12523)))), % 1.63/1.76 inference(rename_variables,[],[430])). % 1.63/1.76 cnf(1255,plain, % 1.63/1.76 (P7(f2(x12551),x12552,x12551,x12551)), % 1.63/1.76 inference(rename_variables,[],[333])). % 1.63/1.76 cnf(1260,plain, % 1.63/1.76 (P23(f25(f25(f66(x12601),x12602),f52(f71(x12601,a1))))), % 1.63/1.76 inference(rename_variables,[],[328])). % 1.63/1.76 cnf(1263,plain, % 1.63/1.76 (P23(f25(f25(f66(x12631),x12632),f52(f71(x12631,a1))))), % 1.63/1.76 inference(rename_variables,[],[328])). % 1.63/1.76 cnf(1269,plain, % 1.63/1.76 (~P23(f25(f25(f66(x12691),x12692),f44(f71(x12691,a1))))), % 1.63/1.76 inference(rename_variables,[],[452])). % 1.63/1.76 cnf(1272,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x12721,a1)),x12722),f29(x12722,x12721)))), % 1.63/1.76 inference(rename_variables,[],[351])). % 1.63/1.76 cnf(1273,plain, % 1.63/1.76 (~P23(f25(f25(f48(f71(x12731,a1)),x12732),f44(f71(x12731,a1))))), % 1.63/1.76 inference(rename_variables,[],[454])). % 1.63/1.76 cnf(1276,plain, % 1.63/1.76 (E(f64(f2(x12761),x12762,x12761,x12761),x12762)), % 1.63/1.76 inference(rename_variables,[],[334])). % 1.63/1.76 cnf(1285,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x12851,a1)),f64(x12852,f65(x12852,x12853,x12854,x12851),x12854,x12851)),x12853))), % 1.63/1.76 inference(rename_variables,[],[419])). % 1.63/1.76 cnf(1298,plain, % 1.63/1.76 (P7(f2(x12981),x12982,x12981,x12981)), % 1.63/1.76 inference(rename_variables,[],[333])). % 1.63/1.76 cnf(1301,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x13011,a1)),x13012),f52(f71(x13011,a1))))), % 1.63/1.76 inference(rename_variables,[],[352])). % 1.63/1.76 cnf(1302,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x13021,a1)),x13022),x13022))), % 1.63/1.76 inference(rename_variables,[],[341])). % 1.63/1.76 cnf(1309,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x13091,x13092)),f32(x13093,x13094,x13091,x13092)),f37(x13094,x13091,x13092)))), % 1.63/1.76 inference(rename_variables,[],[408])). % 1.63/1.76 cnf(1322,plain, % 1.63/1.76 (P7(f2(x13221),x13222,x13221,x13221)), % 1.63/1.76 inference(rename_variables,[],[333])). % 1.63/1.76 cnf(1325,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x13251,x13251)),f2(x13251)),f36(x13252,f27(x13252,f71(x13251,a1),x13251),x13251,x13251)))), % 1.63/1.76 inference(rename_variables,[],[398])). % 1.63/1.76 cnf(1335,plain, % 1.63/1.76 (P7(f2(x13351),x13352,x13351,x13351)), % 1.63/1.76 inference(rename_variables,[],[333])). % 1.63/1.76 cnf(1338,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x13381,a1)),x13382),x13382))), % 1.63/1.76 inference(rename_variables,[],[341])). % 1.63/1.76 cnf(1345,plain, % 1.63/1.76 (P23(f25(f25(f66(x13451),x13452),f52(f71(x13451,a1))))), % 1.63/1.76 inference(rename_variables,[],[328])). % 1.63/1.76 cnf(1348,plain, % 1.63/1.76 (~P23(f25(f25(f66(f73(a68,a68)),f55(x13481,x13482,a68,a68)),f21(x13483,x13482)))), % 1.63/1.76 inference(rename_variables,[],[457])). % 1.63/1.76 cnf(1351,plain, % 1.63/1.76 (~P23(f25(f25(f66(f73(a68,a68)),f55(x13511,x13512,a68,a68)),f21(x13513,x13512)))), % 1.63/1.76 inference(rename_variables,[],[457])). % 1.63/1.76 cnf(1354,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x13541,x13542)),f32(f47(x13543,x13544,x13542,x13541),f64(x13544,x13543,x13542,x13541),x13541,x13542)),f36(f64(x13544,x13543,x13542,x13541),f27(x13543,f71(x13542,a1),x13541),x13541,x13542)))), % 1.63/1.76 inference(rename_variables,[],[443])). % 1.63/1.76 cnf(1355,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x13551,x13552)),f32(x13553,x13554,x13551,x13552)),f37(x13554,x13551,x13552)))), % 1.63/1.76 inference(rename_variables,[],[408])). % 1.63/1.76 cnf(1358,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x13581,x13582)),f32(f47(x13583,x13584,x13582,x13581),f64(x13584,x13583,x13582,x13581),x13581,x13582)),f36(f64(x13584,x13583,x13582,x13581),f27(x13583,f71(x13582,a1),x13581),x13581,x13582)))), % 1.63/1.76 inference(rename_variables,[],[443])). % 1.63/1.76 cnf(1359,plain, % 1.63/1.76 (P23(f25(f25(f66(f71(x13591,x13592)),f32(x13593,x13594,x13591,x13592)),f37(x13594,x13591,x13592)))), % 1.63/1.76 inference(rename_variables,[],[408])). % 1.63/1.76 cnf(1368,plain, % 1.63/1.76 (P23(f25(f25(f66(x13681),x13682),f52(f71(x13681,a1))))), % 1.63/1.76 inference(rename_variables,[],[328])). % 1.63/1.76 cnf(1379,plain, % 1.63/1.76 (P7(f2(x13791),x13792,x13791,x13791)), % 1.63/1.76 inference(rename_variables,[],[333])). % 1.63/1.76 cnf(1381,plain, % 1.63/1.76 (P7(f2(x13811),x13812,x13811,x13811)), % 1.63/1.76 inference(rename_variables,[],[333])). % 1.63/1.76 cnf(1388,plain, % 1.63/1.76 (P8(x13881,x13882,f44(f71(x13883,a1)),x13882,x13883,x13884)), % 1.63/1.76 inference(rename_variables,[],[418])). % 1.63/1.76 cnf(1390,plain, % 1.63/1.76 (P8(x13901,x13902,f44(f71(x13903,a1)),x13902,x13903,x13904)), % 1.63/1.76 inference(rename_variables,[],[418])). % 1.63/1.76 cnf(1392,plain, % 1.63/1.76 (P8(x13921,x13922,f44(f71(x13923,a1)),x13922,x13923,x13924)), % 1.63/1.76 inference(rename_variables,[],[418])). % 1.63/1.76 cnf(1399,plain, % 1.63/1.76 (P23(f25(f25(f67(f71(x13991,a1)),x13992),f52(f71(x13991,a1))))), % 1.63/1.76 inference(rename_variables,[],[352])). % 1.63/1.76 cnf(1400,plain, % 1.63/1.76 (P7(f2(x14001),x14002,x14001,x14001)), % 1.63/1.76 inference(rename_variables,[],[333])). % 1.63/1.76 cnf(1410,plain, % 1.63/1.76 (~P23(f25(f25(f66(f73(a68,a68)),f55(x14101,x14102,a68,a68)),f21(x14103,x14102)))), % 1.63/1.76 inference(rename_variables,[],[457])). % 1.63/1.76 cnf(1413,plain, % 1.63/1.76 (~P23(f25(f25(f66(f73(a68,a68)),f55(x14131,x14132,a68,a68)),f21(x14133,x14132)))), % 1.63/1.76 inference(rename_variables,[],[457])). % 1.63/1.76 cnf(1424,plain, % 1.63/1.76 (~E(f44(f71(x14241,a1)),f52(f71(x14241,a1)))), % 1.63/1.76 inference(rename_variables,[],[448])). % 1.63/1.76 cnf(1435,plain, % 1.63/1.76 ($false), % 1.63/1.76 inference(scs_inference,[],[461,408,1127,1246,1309,1355,1359,351,1140,1272,457,1348,1351,1410,1413,458,316,435,352,1301,1399,454,1273,328,1192,1260,1263,1345,1368,452,1133,1174,1189,1197,1269,449,443,1354,1358,398,1325,388,419,1118,1169,1240,1243,1285,341,1156,1302,1338,453,374,355,423,372,1161,1164,363,364,430,1252,426,333,1255,1298,1322,1335,1379,1381,1400,418,1388,1390,1392,342,290,292,303,309,425,334,1105,1276,448,1424,369,344,456,1222,1225,1228,1231,1234,1237,784,503,515,603,618,619,620,631,763,764,765,766,773,775,815,862,893,910,911,487,616,622,623,624,625,635,645,665,675,700,718,719,723,741,748,750,755,756,757,758,759,785,794,800,801,804,805,808,811,820,836,837,853,863,868,877,879,880,938,939,946,2,545,566,588,594,760,771,783,829,1026,1027,1028,1029,1034,1035,614,655,694,701,733,797,823,839,840,844,974,1031,252,630,660,667,688,691,693,697,699,709,717,724,735,742,749,776,777,778,799,821,822,834,845,848,855,856,859,874,875,906,907,913,988,1030,1061,3,261,262,263,571,731,283,284,285,286,287,565,806,827,882,894,895,1015,890,896,897,488,686,734,819]), % 1.63/1.76 ['proof']). % 1.63/1.76 % SZS output end Proof % 1.63/1.76 % Total time :0.770000s %------------------------------------------------------------------------------