%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SCT074-1 : 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 : n021.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 14:11:41 EDT 2024 % Result : Unsatisfiable 0.65s 1.02s % Output : CNFRefutation 0.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SCT074-1 : TPTP v8.2.0. Released v4.1.0. % 0.04/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Sat Jun 22 10:13:54 EDT 2024 % 0.13/0.34 % CPUTime : % 0.52/0.63 start to proof:theBenchmark % 0.65/0.99 %------------------------------------------- % 0.65/0.99 % File :CSE---1.7 % 0.65/0.99 % Problem :theBenchmark % 0.65/0.99 % Transform :cnf % 0.65/0.99 % Format :tptp:raw % 0.65/0.99 % Command :java -jar mcs_scs.jar %d %s % 0.65/0.99 % 0.65/0.99 % Result :Theorem 0.050000s % 0.65/0.99 % Output :CNFRefutation 0.050000s % 0.65/0.99 %------------------------------------------- % 0.65/0.99 %------------------------------------------------------------------------------ % 0.65/0.99 % File : SCT074-1 : TPTP v8.2.0. Released v4.1.0. % 0.65/0.99 % Domain : Social Choice Theory % 0.65/0.99 % Problem : Arrow Order 257_2 % 0.65/0.99 % Version : Especial. % 0.65/0.99 % English : Formalization of two proofs of Arrow's impossibility theorem. One % 0.65/0.99 % formalization is based on utility functions, the other one on % 0.65/0.99 % strict partial orders. % 0.65/0.99 % 0.65/0.99 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and % 0.65/0.99 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.65/0.99 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.65/0.99 % Source : [Nip10] % 0.65/0.99 % Names : Arrow_Order-257_23 [Nip10] % 0.65/0.99 % 0.65/0.99 % Status : Unsatisfiable % 0.65/0.99 % Rating : 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.07 v6.0.0, 0.10 v5.5.0, 0.40 v5.3.0, 0.33 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0 % 0.65/0.99 % Syntax : Number of clauses : 709 ( 195 unt; 108 nHn; 380 RR) % 0.65/0.99 % Number of literals : 1643 ( 399 equ; 796 neg) % 0.65/0.99 % Maximal clause size : 7 ( 2 avg) % 0.65/0.99 % Maximal term depth : 6 ( 1 avg) % 0.65/0.99 % Number of predicates : 32 ( 31 usr; 0 prp; 1-6 aty) % 0.65/0.99 % Number of functors : 83 ( 83 usr; 9 con; 0-7 aty) % 0.65/0.99 % Number of variables : 2558 ( 218 sgn) % 0.65/0.99 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.65/0.99 % 0.65/0.99 % Comments : % 0.65/0.99 %------------------------------------------------------------------------------ % 0.65/0.99 cnf(cls_Domain__insert_0,axiom, % 0.65/0.99 c_Relation_ODomain(c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)),T_a,T_b) = c_Set_Oinsert(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_insert__code_0,axiom, % 0.65/0.99 ( hBOOL(hAPP(V_A,V_x)) % 0.65/0.99 | V_y = V_x % 0.65/0.99 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_insert__absorb2_0,axiom, % 0.65/0.99 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Image__empty_0,axiom, % 0.65/0.99 c_Relation_OImage(V_R,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_insert__inter__insert_0,axiom, % 0.65/0.99 c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_A,T_a),c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_insert__not__empty_0,axiom, % 0.65/0.99 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Diff__insert2_0,axiom, % 0.65/0.99 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Diff__insert_0,axiom, % 0.65/0.99 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_bot__least_0,axiom, % 0.65/0.99 ( ~ class_Orderings_Obot(T_a) % 0.65/0.99 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_less__by__empty_0,axiom, % 0.65/0.99 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_empty__subsetI_0,axiom, % 0.65/0.99 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_rel__comp__empty2_0,axiom, % 0.65/0.99 c_Relation_Orel__comp(V_R,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_rel__comp__empty1_0,axiom, % 0.65/0.99 c_Relation_Orel__comp(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Un__insert__right_0,axiom, % 0.65/0.99 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Un__insert__left_0,axiom, % 0.65/0.99 c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_empty__is__image_0,axiom, % 0.65/0.99 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 0.65/0.99 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_rtrancl__Un__subset_0,axiom, % 0.65/0.99 c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Pair__fst__snd__eq_0,axiom, % 0.65/0.99 ( hAPP(c_snd(T_a,T_b),V_s) != hAPP(c_snd(T_a,T_b),V_t) % 0.65/0.99 | hAPP(c_fst(T_a,T_b),V_s) != hAPP(c_fst(T_a,T_b),V_t) % 0.65/0.99 | V_s = V_t ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_prod__eqI_0,axiom, % 0.65/0.99 ( hAPP(c_snd(T_a,T_b),V_p) != hAPP(c_snd(T_a,T_b),V_q) % 0.65/0.99 | hAPP(c_fst(T_a,T_b),V_p) != hAPP(c_fst(T_a,T_b),V_q) % 0.65/0.99 | V_p = V_q ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_wf__induct_1,axiom, % 0.65/0.99 ( hBOOL(hAPP(V_P,V_a)) % 0.65/0.99 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a))) % 0.65/0.99 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Range__Diff__subset_0,axiom, % 0.65/0.99 c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Relation_ORange(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_subset__insertI2_0,axiom, % 0.65/0.99 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.65/0.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_insert__subset_1,axiom, % 0.65/0.99 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/0.99 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_insert__Diff1_0,axiom, % 0.65/0.99 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/0.99 | ~ c_in(V_x,V_B,T_a) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Times__subset__cancel2_1,axiom, % 0.65/0.99 ( c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool)) % 0.65/0.99 | ~ c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool)) % 0.65/0.99 | ~ c_in(V_x,V_C,T_a) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Times__subset__cancel2_0,axiom, % 0.65/0.99 ( c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool)) % 0.65/0.99 | ~ c_lessequals(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a),tc_fun(tc_prod(T_b,T_a),tc_bool)) % 0.65/0.99 | ~ c_in(V_x,V_C,T_a) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_diff__single__insert_0,axiom, % 0.65/0.99 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.65/0.99 | ~ c_in(V_x,V_A,T_a) % 0.65/0.99 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_subset__insert__iff_3,axiom, % 0.65/0.99 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.65/0.99 | ~ c_in(V_x,V_A,T_a) % 0.65/0.99 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_subset__insert__iff_0,axiom, % 0.65/0.99 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 0.65/0.99 | ~ c_in(V_x,V_A,T_a) % 0.65/0.99 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_image__constant_0,axiom, % 0.65/0.99 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b) % 0.65/0.99 | ~ c_in(V_x,V_A,T_a) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_trancl__Int__subset_0,axiom, % 0.65/0.99 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/0.99 | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/0.99 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Sigma__Int__distrib1_0,axiom, % 0.65/0.99 c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_singletonE_0,axiom, % 0.65/0.99 ( V_b = V_a % 0.65/0.99 | ~ c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Diff__triv_0,axiom, % 0.65/0.99 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/0.99 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Domain__Diff__subset_0,axiom, % 0.65/0.99 c_lessequals(c_HOL_Ominus__class_Ominus(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),c_Relation_ODomain(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Int__Un__distrib2_0,axiom, % 0.65/0.99 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/0.99 % 0.65/0.99 cnf(cls_Int__Un__distrib_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__distrib1_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__distrib2_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Id__on__subset__Times_0,axiom, % 0.65/1.00 c_lessequals(c_Relation_OId__on(V_A,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_refl__on__def_0,axiom, % 0.65/1.00 ( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__absorb_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__idem_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_rel__comp__mono_0,axiom, % 0.65/1.00 ( c_lessequals(c_Relation_Orel__comp(V_r_H,V_s_H,T_a,T_b,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__Image_0,axiom, % 0.65/1.00 c_Relation_OImage(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_b,T_a),tc_bool)),V_A,T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_S,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Image__Un_0,axiom, % 0.65/1.00 c_Relation_OImage(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_tfl__wf__induct_1,axiom, % 0.65/1.00 ( hBOOL(hAPP(V_P,V_Rb)) % 0.65/1.00 | ~ hBOOL(hAPP(V_P,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a))) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Domain__empty_0,axiom, % 0.65/1.00 c_Relation_ODomain(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_insert__commute_0,axiom, % 0.65/1.00 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_surjective__pairing_0,axiom, % 0.65/1.00 V_t = c_Pair(hAPP(c_fst(T_a,T_b),V_t),hAPP(c_snd(T_a,T_b),V_t),T_a,T_b) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_pair__collapse_0,axiom, % 0.65/1.00 c_Pair(hAPP(c_fst(T_a,T_b),V_p),hAPP(c_snd(T_a,T_b),V_p),T_a,T_b) = V_p ). % 0.65/1.00 % 0.65/1.00 cnf(cls_COMBK__def_0,axiom, % 0.65/1.00 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__idemp_0,axiom, % 0.65/1.00 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_eq__equiv__class__iff2_1,axiom, % 0.65/1.00 ( 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) % 0.65/1.00 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.00 | ~ c_in(V_y,V_A,T_a) % 0.65/1.00 | ~ c_in(V_x,V_A,T_a) % 0.65/1.00 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_eq__equiv__class__iff2_0,axiom, % 0.65/1.00 ( 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) % 0.65/1.00 | ~ c_in(V_y,V_A,T_a) % 0.65/1.00 | ~ c_in(V_x,V_A,T_a) % 0.65/1.00 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 0.65/1.00 | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_doubleton__eq__iff_4,axiom, % 0.65/1.00 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Image__subset_0,axiom, % 0.65/1.00 ( c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_eq__eqI_1,axiom, % 0.65/1.00 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.65/1.00 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.65/1.00 | V_xa = V_y ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_eq__eqI_0,axiom, % 0.65/1.00 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.65/1.00 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.65/1.00 | V_x_H = V_y_H ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_image__empty_0,axiom, % 0.65/1.00 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_image__diff__subset_0,axiom, % 0.65/1.00 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__left__commute_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__assoc_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__assoc_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__left__commute_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__absorb2_0,axiom, % 0.65/1.00 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 0.65/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__absorb1_0,axiom, % 0.65/1.00 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 0.65/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__iff__inf_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 0.65/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__iff__inf_1,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 0.65/1.00 | c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__absorb2_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 0.65/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__subset__iff_2,axiom, % 0.65/1.00 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__upper2_0,axiom, % 0.65/1.00 c_lessequals(V_B,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__upper1_0,axiom, % 0.65/1.00 c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__least_0,axiom, % 0.65/1.00 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__supI_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 0.65/1.00 | ~ c_lessequals(V_b,V_x,T_a) % 0.65/1.00 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__ge1_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__ge2_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__least_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 0.65/1.00 | ~ c_lessequals(V_z,V_x,T_a) % 0.65/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__sup__iff_2,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 0.65/1.00 | ~ c_lessequals(V_y,V_z,T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__commute_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__commute_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_wf__acyclic_0,axiom, % 0.65/1.00 ( c_Wellfounded_Oacyclic(V_r,T_a) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__partition_0,axiom, % 0.65/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_B % 0.65/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_equiv__class__subset_0,axiom, % 0.65/1.00 ( c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.00 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sym__Un_0,axiom, % 0.65/1.00 ( c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.00 | ~ c_Relation_Osym(V_s,T_a) % 0.65/1.00 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_rtrancl__mono_0,axiom, % 0.65/1.00 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Domain__Int__subset_0,axiom, % 0.65/1.00 c_lessequals(c_Relation_ODomain(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__bot__right_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__bot__left_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__empty__left_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__empty__right_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_subset__insertI_0,axiom, % 0.65/1.00 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_image__Int__subset_0,axiom, % 0.65/1.00 c_lessequals(c_Set_Oimage(V_f,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Image__Int__subset_0,axiom, % 0.65/1.00 c_lessequals(c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__Int__assoc__eq_0,axiom, % 0.65/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) != c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.00 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__Int__assoc__eq_1,axiom, % 0.65/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Sigma__Diff__distrib1_0,axiom, % 0.65/1.00 c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__empty_0,axiom, % 0.65/1.00 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__cancel_0,axiom, % 0.65/1.00 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_rel__comp__subset__Sigma_0,axiom, % 0.65/1.00 ( c_lessequals(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_a),T_a,T_c),tc_fun(tc_prod(T_a,T_c),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_s,c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_c,tc_bool),T_b),T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_wf__union__compatible_0,axiom, % 0.65/1.00 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.00 | ~ c_lessequals(c_Relation_Orel__comp(V_R,V_S,T_a,T_a,T_a),V_R,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_S,T_a) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup1E_0,axiom, % 0.65/1.00 ( hBOOL(hAPP(V_B,V_x)) % 0.65/1.00 | hBOOL(hAPP(V_A,V_x)) % 0.65/1.00 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup1CI_0,axiom, % 0.65/1.00 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.65/1.00 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup1CI_1,axiom, % 0.65/1.00 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.65/1.00 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_wf__Un_0,axiom, % 0.65/1.00 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_s,T_a,T_a),tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_s,T_a) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_r,T_a) % 0.65/1.00 | c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Times__Int__distrib1_0,axiom, % 0.65/1.00 c_Product__Type_OSigma(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Lattices_Olower__semilattice__class_Oinf(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_refl__on__Un_0,axiom, % 0.65/1.00 ( c_Relation_Orefl__on(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.00 | ~ c_Relation_Orefl__on(V_B,V_s,T_a) % 0.65/1.00 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__left__commute_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__assoc_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__assoc_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__left__commute_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__bot__right_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Orderings_Obot__class_Obot(T_a),T_a) = V_x ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__bot__left_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) = V_x ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__empty__left_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = V_B ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__empty__right_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.65/1.00 % 0.65/1.00 cnf(cls_empty__Diff_0,axiom, % 0.65/1.00 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_insert__times__insert_0,axiom, % 0.65/1.00 c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Set_Oinsert(c_Pair(V_a,V_b,T_a,T_b),c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(c_Set_Oinsert(V_b,V_B,T_b),tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(c_Set_Oinsert(V_a,V_A,T_a),c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)),tc_prod(T_a,T_b)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_wfE__pf_0,axiom, % 0.65/1.00 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,c_Relation_OImage(V_R,V_A,T_a,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_bot1E_0,axiom, % 0.65/1.00 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__Int__distrib_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(V_C,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__Int__distrib2_0,axiom, % 0.65/1.00 c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_image__constant__conv_1,axiom, % 0.65/1.00 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.65/1.00 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__mono_0,axiom, % 0.65/1.00 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_disjoint__iff__not__equal_0,axiom, % 0.65/1.00 ( ~ c_in(V_x,V_B,T_a) % 0.65/1.00 | ~ c_in(V_x,V_A,T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_trans__Int_0,axiom, % 0.65/1.00 ( c_Relation_Otrans(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.00 | ~ c_Relation_Otrans(V_s,T_a) % 0.65/1.00 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_distrib__sup__le_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__Int2_0,axiom, % 0.65/1.00 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_C,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_quotientI_0,axiom, % 0.65/1.00 ( c_in(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),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_in(V_x,V_A,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__inf__absorb_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_union__comp__emptyL_0,axiom, % 0.65/1.00 ( c_Relation_Orel__comp(V_B,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_C,T_a,T_a,T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_union__comp__emptyR_0,axiom, % 0.65/1.00 ( c_Relation_Orel__comp(V_A,V_C,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | c_Relation_Orel__comp(V_A,V_B,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | c_Relation_Orel__comp(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a,T_a,T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_wf__def_1,axiom, % 0.65/1.00 ( hBOOL(hAPP(V_P,V_xb)) % 0.65/1.00 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a))) % 0.65/1.00 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_acyclic__converse_0,axiom, % 0.65/1.00 ( c_Wellfounded_Oacyclic(V_r,T_a) % 0.65/1.00 | ~ c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_acyclic__converse_1,axiom, % 0.65/1.00 ( c_Wellfounded_Oacyclic(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 0.65/1.00 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_equalityI_0,axiom, % 0.65/1.00 ( V_A = V_B % 0.65/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_set__eq__subset_2,axiom, % 0.65/1.00 ( V_A = V_B % 0.65/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_order__eq__iff_2,axiom, % 0.65/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.65/1.00 | V_x = V_y % 0.65/1.00 | ~ c_lessequals(V_y,V_x,T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_order__antisym_0,axiom, % 0.65/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.65/1.00 | V_x = V_y % 0.65/1.00 | ~ c_lessequals(V_y,V_x,T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_split__beta_0,axiom, % 0.65/1.00 hAPP(c_split(V_P,T_b,T_c,T_a),V_z) = hAPP(hAPP(V_P,hAPP(c_fst(T_b,T_c),V_z)),hAPP(c_snd(T_b,T_c),V_z)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_order__antisym__conv_0,axiom, % 0.65/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.65/1.00 | V_x = V_y % 0.65/1.00 | ~ c_lessequals(V_x,V_y,T_a) % 0.65/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__absorb_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__Diff__Int_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__absorb1_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 0.65/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__iff__sup_1,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 0.65/1.00 | c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__iff__sup_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 0.65/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__absorb1_0,axiom, % 0.65/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 0.65/1.00 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__absorb2_0,axiom, % 0.65/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 0.65/1.00 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_subset__Un__eq_1,axiom, % 0.65/1.00 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 0.65/1.00 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_refl__on__Int_0,axiom, % 0.65/1.00 ( c_Relation_Orefl__on(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.00 | ~ c_Relation_Orefl__on(V_B,V_s,T_a) % 0.65/1.00 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_antisym__empty_0,axiom, % 0.65/1.00 c_Relation_Oantisym(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Range__empty_0,axiom, % 0.65/1.00 c_Relation_ORange(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_doubleton__eq__iff_0,axiom, % 0.65/1.00 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.65/1.00 | V_a = V_d % 0.65/1.00 | V_a = V_c ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_doubleton__eq__iff_1,axiom, % 0.65/1.00 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.65/1.00 | V_b = V_c % 0.65/1.00 | V_a = V_c ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_doubleton__eq__iff_2,axiom, % 0.65/1.00 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.65/1.00 | V_a = V_d % 0.65/1.00 | V_b = V_d ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_doubleton__eq__iff_3,axiom, % 0.65/1.00 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 0.65/1.00 | V_b = V_c % 0.65/1.00 | V_b = V_d ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_trancl__subset__Sigma_0,axiom, % 0.65/1.00 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_rtrancl__subset__rtrancl_0,axiom, % 0.65/1.00 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_subset__empty_0,axiom, % 0.65/1.00 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_subset__empty_1,axiom, % 0.65/1.00 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_empty__not__insert_0,axiom, % 0.65/1.00 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_refl__on__empty_0,axiom, % 0.65/1.00 c_Relation_Orefl__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__insert__left_0,axiom, % 0.65/1.00 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.00 | ~ c_in(V_a,V_C,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__insert__right_0,axiom, % 0.65/1.00 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.00 | ~ c_in(V_a,V_A,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_image__insert_0,axiom, % 0.65/1.00 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_total__on__empty_0,axiom, % 0.65/1.00 c_Relation_Ototal__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_r,T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__mono_0,axiom, % 0.65/1.00 ( c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_converse__Un_0,axiom, % 0.65/1.00 c_Relation_Oconverse(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__greatest_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_z,T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__inf__iff_2,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_z,T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_le__infI_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_b,T_a) % 0.65/1.00 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__le2_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_inf__le1_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__lower1_0,axiom, % 0.65/1.00 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__lower2_0,axiom, % 0.65/1.00 c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__greatest_0,axiom, % 0.65/1.00 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Int__subset__iff_2,axiom, % 0.65/1.00 ( c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Times__Un__distrib1_0,axiom, % 0.65/1.00 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__inf__distrib2_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_sup__inf__distrib1_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Odistrib__lattice(T_a) % 0.65/1.00 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__Int__distrib_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_distrib__inf__le_0,axiom, % 0.65/1.00 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.00 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a),T_a) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_rtrancl__subset_0,axiom, % 0.65/1.00 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) % 0.65/1.00 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.00 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Diff__subset_0,axiom, % 0.65/1.00 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_insert__Diff__single_0,axiom, % 0.65/1.00 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_singleton__inject_0,axiom, % 0.65/1.00 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.65/1.00 | V_a = V_b ) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Un__Int__crazy_0,axiom, % 0.65/1.00 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_Id__on__empty_0,axiom, % 0.65/1.00 c_Relation_OId__on(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_image__constant__conv_0,axiom, % 0.65/1.00 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.00 % 0.65/1.00 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 0.65/1.01 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | c_in(V_x,V_xa,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__empty_0,axiom, % 0.65/1.01 c_Wellfounded_Owf(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__subset_0,axiom, % 0.65/1.01 ( c_in(V_x,V_B,T_a) % 0.65/1.01 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Sigma__Un__distrib1_0,axiom, % 0.65/1.01 c_Product__Type_OSigma(c_Lattices_Oupper__semilattice__class_Osup(V_I,V_J,tc_fun(T_a,tc_bool)),V_C,T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Product__Type_OSigma(V_I,V_C,T_a,T_b),c_Product__Type_OSigma(V_J,V_C,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__code_2,axiom, % 0.65/1.01 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__insert__iff_2,axiom, % 0.65/1.01 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__insert__iff_1,axiom, % 0.65/1.01 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | c_in(V_x,V_A,T_a) % 0.65/1.01 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__insert_1,axiom, % 0.65/1.01 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__insert_0,axiom, % 0.65/1.01 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__Int_0,axiom, % 0.65/1.01 c_Relation_Oconverse(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_b,T_a),c_Relation_Oconverse(V_s,T_b,T_a),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__insert__right_1,axiom, % 0.65/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | c_in(V_a,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__insert__left_1,axiom, % 0.65/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(c_Set_Oinsert(V_a,V_B,T_a),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.01 | c_in(V_a,V_C,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_strict__linear__order__on__def_2,axiom, % 0.65/1.01 ( c_Relation_Ototal__on(V_A,V_r,T_a) % 0.65/1.01 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__empty_1,axiom, % 0.65/1.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__empty_0,axiom, % 0.65/1.01 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sup__eq__bot__eq1_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.65/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.65/1.01 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sup__eq__bot__eq2_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Obounded__lattice(T_a) % 0.65/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,T_a) != c_Orderings_Obot__class_Obot(T_a) % 0.65/1.01 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__Diff__cancel2_0,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__Diff__cancel_0,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rel__comp__distrib2_0,axiom, % 0.65/1.01 c_Relation_Orel__comp(c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_a,T_c),tc_bool)),V_R,T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_S,V_R,T_a,T_c,T_b),c_Relation_Orel__comp(V_T,V_R,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rel__comp__distrib_0,axiom, % 0.65/1.01 c_Relation_Orel__comp(V_R,c_Lattices_Oupper__semilattice__class_Osup(V_S,V_T,tc_fun(tc_prod(T_c,T_b),tc_bool)),T_a,T_c,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_S,T_a,T_c,T_b),c_Relation_Orel__comp(V_R,V_T,T_a,T_c,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__subset__iff_1,axiom, % 0.65/1.01 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__subset__iff_0,axiom, % 0.65/1.01 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_C,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__infE_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_x,V_a,T_a) % 0.65/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__infE_1,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_x,V_b,T_a) % 0.65/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__infI1_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.65/1.01 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__infI2_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 0.65/1.01 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__inf__iff_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_x,V_y,T_a) % 0.65/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__inf__iff_1,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_x,V_z,T_a) % 0.65/1.01 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__Diff_0,axiom, % 0.65/1.01 c_HOL_Ominus__class_Ominus(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__commute_0,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sup__commute_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Domain__Un__eq_0,axiom, % 0.65/1.01 c_Relation_ODomain(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_a,T_b),tc_bool)),T_a,T_b) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_A,T_a,T_b),c_Relation_ODomain(V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__is__Un_0,axiom, % 0.65/1.01 c_Set_Oinsert(V_a,V_A,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_A,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Sigma__empty1_0,axiom, % 0.65/1.01 c_Product__Type_OSigma(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_B,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__subset_0,axiom, % 0.65/1.01 ( c_lessequals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__left__absorb_0,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sup__left__idem_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.01 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Domain__empty__iff_0,axiom, % 0.65/1.01 ( c_Relation_ODomain(V_r,T_a,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_empty__is__image_1,axiom, % 0.65/1.01 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Diff__disjoint_0,axiom, % 0.65/1.01 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__Int__subset_0,axiom, % 0.65/1.01 c_lessequals(c_Relation_ORange(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__induct__rule_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a))) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__Un__rtrancl_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_S,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__Diff__if_1,axiom, % 0.65/1.01 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | c_in(V_x,V_B,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__insert__iff_4,axiom, % 0.65/1.01 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf1E_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_B,V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf1E_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_A,V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__insert_0,axiom, % 0.65/1.01 c_Relation_ORange(c_Set_Oinsert(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)),T_b,T_a) = c_Set_Oinsert(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__Int_0,axiom, % 0.65/1.01 ( c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Relation_Osym(V_s,T_a) % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Diff__insert__absorb_0,axiom, % 0.65/1.01 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A % 0.65/1.01 | c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Diff__subset__conv_1,axiom, % 0.65/1.01 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Diff__subset__conv_0,axiom, % 0.65/1.01 ( c_lessequals(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_cuts__eq_2,axiom, % 0.65/1.01 ( hAPP(V_f,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b)) % 0.65/1.01 | c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acyclic__insert_0,axiom, % 0.65/1.01 ( c_Wellfounded_Oacyclic(V_r,T_a) % 0.65/1.01 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__funD_0,axiom, % 0.65/1.01 ( ~ class_HOL_Oord(T_b) % 0.65/1.01 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 0.65/1.01 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__iff_2,axiom, % 0.65/1.01 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | ~ c_in(V_c,V_B,T_a) % 0.65/1.01 | ~ c_in(V_c,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_IntI_0,axiom, % 0.65/1.01 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | ~ c_in(V_c,V_B,T_a) % 0.65/1.01 | ~ c_in(V_c,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__iff_2,axiom, % 0.65/1.01 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) % 0.65/1.01 | ~ c_in(V_a,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insertCI_0,axiom, % 0.65/1.01 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a) % 0.65/1.01 | ~ c_in(V_a,V_B,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__iff_0,axiom, % 0.65/1.01 ( c_in(V_t,V_B,T_a) % 0.65/1.01 | ~ c_in(V_t,V_A,T_a) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_set__rev__mp_0,axiom, % 0.65/1.01 ( c_in(V_x,V_B,T_a) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subsetD_0,axiom, % 0.65/1.01 ( c_in(V_c,V_B,T_a) % 0.65/1.01 | ~ c_in(V_c,V_A,T_a) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_set__mp_0,axiom, % 0.65/1.01 ( c_in(V_x,V_B,T_a) % 0.65/1.01 | ~ c_in(V_x,V_A,T_a) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_UnCI_1,axiom, % 0.65/1.01 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | ~ c_in(V_c,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_UnCI_0,axiom, % 0.65/1.01 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | ~ c_in(V_c,V_B,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_ex__in__conv_0,axiom, % 0.65/1.01 ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_ball__empty_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_empty__iff_0,axiom, % 0.65/1.01 ~ c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_emptyE_0,axiom, % 0.65/1.01 ~ c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insertE_0,axiom, % 0.65/1.01 ( c_in(V_a,V_A,T_a) % 0.65/1.01 | V_a = V_b % 0.65/1.01 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_UnE_0,axiom, % 0.65/1.01 ( c_in(V_c,V_B,T_a) % 0.65/1.01 | c_in(V_c,V_A,T_a) % 0.65/1.01 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_DiffE_1,axiom, % 0.65/1.01 ( ~ c_in(V_c,V_B,T_a) % 0.65/1.01 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_DiffE_0,axiom, % 0.65/1.01 ( c_in(V_c,V_A,T_a) % 0.65/1.01 | ~ c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__iff_1,axiom, % 0.65/1.01 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insertI1_0,axiom, % 0.65/1.01 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insertCI_1,axiom, % 0.65/1.01 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_IntE_1,axiom, % 0.65/1.01 ( c_in(V_c,V_B,T_a) % 0.65/1.01 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_IntE_0,axiom, % 0.65/1.01 ( c_in(V_c,V_A,T_a) % 0.65/1.01 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_bex__empty_0,axiom, % 0.65/1.01 ( ~ hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | ~ c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Diff__iff_2,axiom, % 0.65/1.01 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | c_in(V_c,V_B,T_a) % 0.65/1.01 | ~ c_in(V_c,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_DiffI_0,axiom, % 0.65/1.01 ( c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | c_in(V_c,V_B,T_a) % 0.65/1.01 | ~ c_in(V_c,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__ident_0,axiom, % 0.65/1.01 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 0.65/1.01 | c_in(V_x,V_B,T_a) % 0.65/1.01 | c_in(V_x,V_A,T_a) % 0.65/1.01 | V_A = V_B ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__absorb_0,axiom, % 0.65/1.01 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 0.65/1.01 | ~ c_in(V_a,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_fst__conv_0,axiom, % 0.65/1.01 hAPP(c_fst(T_a,T_b),c_Pair(V_a,V_b,T_a,T_b)) = V_a ). % 0.65/1.01 % 0.65/1.01 cnf(cls_fst__eqD_0,axiom, % 0.65/1.01 V_x = hAPP(c_fst(T_a,T_b),c_Pair(V_x,V_y,T_a,T_b)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_snd__conv_0,axiom, % 0.65/1.01 hAPP(c_snd(T_b,T_a),c_Pair(V_a,V_b,T_b,T_a)) = V_b ). % 0.65/1.01 % 0.65/1.01 cnf(cls_snd__eqD_0,axiom, % 0.65/1.01 V_y = hAPP(c_snd(T_b,T_a),c_Pair(V_x,V_y,T_b,T_a)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_conjI__realizer_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,hAPP(c_fst(T_a,T_b),c_Pair(V_p,V_q,T_a,T_b)))) % 0.65/1.01 | ~ hBOOL(hAPP(V_Q,V_q)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_p)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_conjI__realizer_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_Q,hAPP(c_snd(T_a,T_b),c_Pair(V_p,V_q,T_a,T_b)))) % 0.65/1.01 | ~ hBOOL(hAPP(V_Q,V_q)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_p)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__Int__distrib2_0,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_B,V_A,tc_fun(T_a,tc_bool)),c_Lattices_Oupper__semilattice__class_Osup(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_strict__linear__order__on__def_0,axiom, % 0.65/1.01 ( c_Relation_Otrans(V_r,T_a) % 0.65/1.01 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__code_1,axiom, % 0.65/1.01 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__subset_2,axiom, % 0.65/1.01 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_in(V_x,V_B,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Times__Diff__distrib1_0,axiom, % 0.65/1.01 c_Product__Type_OSigma(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olattice(T_a) % 0.65/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf__left__idem_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__left__absorb_0,axiom, % 0.65/1.01 c_Lattices_Olower__semilattice__class_Oinf(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__Un__eq_0,axiom, % 0.65/1.01 c_Relation_ORange(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(tc_prod(T_b,T_a),tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ORange(V_A,T_b,T_a),c_Relation_ORange(V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__Int1_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r,V_r_H,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__Int2_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Lattices_Olower__semilattice__class_Oinf(V_r_H,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__Diff_0,axiom, % 0.65/1.01 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A % 0.65/1.01 | ~ c_in(V_a,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf__idem_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Olower__semilattice(T_a) % 0.65/1.01 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__absorb_0,axiom, % 0.65/1.01 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__sup__iff_1,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_y,V_z,T_a) % 0.65/1.01 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__sup__iff_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_x,V_z,T_a) % 0.65/1.01 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__supI2_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.65/1.01 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__supI1_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 0.65/1.01 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__supE_1,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_b,V_x,T_a) % 0.65/1.01 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__supE_0,axiom, % 0.65/1.01 ( ~ class_Lattices_Oupper__semilattice(T_a) % 0.65/1.01 | c_lessequals(V_a,V_x,T_a) % 0.65/1.01 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__subset__iff_0,axiom, % 0.65/1.01 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__subset__iff_1,axiom, % 0.65/1.01 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_xt1_I6_J_0,axiom, % 0.65/1.01 ( ~ class_Orderings_Oorder(T_a) % 0.65/1.01 | c_lessequals(V_z,V_x,T_a) % 0.65/1.01 | ~ c_lessequals(V_z,V_y,T_a) % 0.65/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_order__trans_0,axiom, % 0.65/1.01 ( ~ class_Orderings_Opreorder(T_a) % 0.65/1.01 | c_lessequals(V_x,V_z,T_a) % 0.65/1.01 | ~ c_lessequals(V_y,V_z,T_a) % 0.65/1.01 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equalityE_0,axiom, % 0.65/1.01 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__refl_0,axiom, % 0.65/1.01 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__trans_0,axiom, % 0.65/1.01 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_predicate1D_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_Q,V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__subset_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(V_p,T_a) % 0.65/1.01 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_order__eq__iff_0,axiom, % 0.65/1.01 ( ~ class_Orderings_Oorder(T_a) % 0.65/1.01 | c_lessequals(V_x,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_order__eq__refl_0,axiom, % 0.65/1.01 ( ~ class_Orderings_Opreorder(T_a) % 0.65/1.01 | c_lessequals(V_x,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__subset_0,axiom, % 0.65/1.01 ( c_Relation_Oantisym(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Oantisym(V_s,T_a) % 0.65/1.01 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rev__predicate1D_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_Q,V_x)) % 0.65/1.01 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acyclic__subset_0,axiom, % 0.65/1.01 ( c_Wellfounded_Oacyclic(V_r,T_a) % 0.65/1.01 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_Wellfounded_Oacyclic(V_s,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_single__valued__subset_0,axiom, % 0.65/1.01 ( c_Relation_Osingle__valued(V_r,T_a,T_b) % 0.65/1.01 | ~ c_Relation_Osingle__valued(V_s,T_a,T_b) % 0.65/1.01 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_image__is__empty_0,axiom, % 0.65/1.01 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__mono_0,axiom, % 0.65/1.01 ( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),c_Lattices_Olower__semilattice__class_Oinf(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Diff__Un_0,axiom, % 0.65/1.01 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Oupper__semilattice__class_Osup(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Int__Diff_0,axiom, % 0.65/1.01 c_HOL_Ominus__class_Ominus(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(V_A,c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_singleton__iff_1,axiom, % 0.65/1.01 c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Domain__mono_0,axiom, % 0.65/1.01 ( c_lessequals(c_Relation_ODomain(V_r,T_a,T_b),c_Relation_ODomain(V_s,T_a,T_b),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__singletonD_0,axiom, % 0.65/1.01 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Diff__Int_0,axiom, % 0.65/1.01 c_HOL_Ominus__class_Ominus(V_A,c_Lattices_Olower__semilattice__class_Oinf(V_B,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Sigma__empty2_0,axiom, % 0.65/1.01 c_Product__Type_OSigma(V_A,c_COMBK(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool),T_a),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_quotient__disj_0,axiom, % 0.65/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(V_X,V_Y,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | V_X = V_Y % 0.65/1.01 | ~ c_in(V_Y,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_inf1I_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(V_B,V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_double__diff_0,axiom, % 0.65/1.01 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A % 0.65/1.01 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__eqI_0,axiom, % 0.65/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.65/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.65/1.01 | c_lessequals(V_y_H,V_x_H,T_a) % 0.65/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_le__eqI_1,axiom, % 0.65/1.01 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.65/1.01 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.65/1.01 | c_lessequals(V_y,V_x,T_a) % 0.65/1.01 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_image__mono_0,axiom, % 0.65/1.01 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__image__iff_2,axiom, % 0.65/1.01 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 0.65/1.01 | c_lessequals(c_Set_Oimage(V_f,V_x,T_b,T_a),c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__mono_0,axiom, % 0.65/1.01 ( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Un__empty_2,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_image__Un_0,axiom, % 0.65/1.01 c_Set_Oimage(V_f,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__empty_0,axiom, % 0.65/1.01 c_Transitive__Closure_Otrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_exI__realizer_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(hAPP(V_P,hAPP(c_snd(T_b,T_a),c_Pair(V_x,V_y,T_b,T_a))),hAPP(c_fst(T_b,T_a),c_Pair(V_x,V_y,T_b,T_a)))) % 0.65/1.01 | ~ hBOOL(hAPP(hAPP(V_P,V_y),V_x)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__empty__iff_0,axiom, % 0.65/1.01 ( c_Relation_ORange(V_r,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 0.65/1.01 | V_r = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__mono_0,axiom, % 0.65/1.01 ( c_lessequals(c_Relation_OImage(V_r_H,V_A_H,T_a,T_b),c_Relation_OImage(V_r,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv__type_0,axiom, % 0.65/1.01 ( c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_linorder__linear_0,axiom, % 0.65/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.65/1.01 | c_lessequals(V_y,V_x,T_a) % 0.65/1.01 | c_lessequals(V_x,V_y,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_strict__linear__order__on__def_1,axiom, % 0.65/1.01 ( c_Relation_Oirrefl(V_r,T_a) % 0.65/1.01 | ~ c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acyclic__insert_2,axiom, % 0.65/1.01 ( c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) % 0.65/1.01 | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acyclic__insert_1,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Oacyclic(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rtrancl__induct_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__induct_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv__class__self_0,axiom, % 0.65/1.01 ( c_in(V_a,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),T_a) % 0.65/1.01 | ~ c_in(V_a,V_A,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__Int__subset_0,axiom, % 0.65/1.01 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_lessequals(c_Relation_Orel__comp(c_Lattices_Olower__semilattice__class_Oinf(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),V_r,T_a,T_a,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_lessequals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv__class__nondisjoint_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_x,c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)),T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_subset__equiv__class_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_b,V_A,T_a) % 0.65/1.01 | ~ c_lessequals(c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_insert__image_0,axiom, % 0.65/1.01 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 0.65/1.01 | ~ c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_image__subset__iff_0,axiom, % 0.65/1.01 ( c_in(hAPP(V_f,V_x),V_B,T_a) % 0.65/1.01 | ~ c_in(V_x,V_A,T_b) % 0.65/1.01 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__singleton__iff_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 0.65/1.01 | ~ c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__singleton__iff_1,axiom, % 0.65/1.01 ( c_in(V_b,c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_b,T_a),T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Times__eq__cancel2_0,axiom, % 0.65/1.01 ( c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) != c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) % 0.65/1.01 | ~ c_in(V_x,V_C,T_a) % 0.65/1.01 | V_A = V_B ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__insert_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(V_r,T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__rtrancl__UnI_0,axiom, % 0.65/1.01 ( c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__rtrancl__UnI_1,axiom, % 0.65/1.01 ( c_in(V_x,c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_S,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__mono_0,axiom, % 0.65/1.01 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_s,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv__class__eq_0,axiom, % 0.65/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv__class__eq__iff_0,axiom, % 0.65/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__union__merge_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__union__merge_1,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),c_Relation_Orel__comp(V_S,V_R,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__no__loop_0,axiom, % 0.65/1.01 ( c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__unfold_0,axiom, % 0.65/1.01 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Orel__comp(c_Transitive__Closure_Otrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__reflcl__absorb_0,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__reflcl_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(c_Lattices_Oupper__semilattice__class_Osup(V_R,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__empty_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Relation_OId(T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__r__diff__Id_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acyclic__impl__antisym__rtrancl_0,axiom, % 0.65/1.01 ( c_Relation_Oantisym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) % 0.65/1.01 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__O__subset_0,axiom, % 0.65/1.01 ( c_lessequals(c_Relation_Orel__comp(V_r,V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__Un__converse_0,axiom, % 0.65/1.01 c_Relation_Osym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__Int__converse_0,axiom, % 0.65/1.01 c_Relation_Osym(c_Lattices_Olower__semilattice__class_Oinf(V_r,c_Relation_Oconverse(V_r,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_above__Lin_0,axiom, % 0.65/1.01 ( c_in(c_Arrow__Order__Mirabelle_Oabove(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_y ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_below__Lin_0,axiom, % 0.65/1.01 ( c_in(c_Arrow__Order__Mirabelle_Obelow(V_L,V_x,V_y),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_y ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__reflclI_0,axiom, % 0.65/1.01 ( c_Relation_Otrans(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__Id__on_0,axiom, % 0.65/1.01 c_Relation_OImage(c_Relation_OId__on(V_A,T_a),V_B,T_a,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__reflcl_0,axiom, % 0.65/1.01 ( c_Relation_Oantisym(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__reflcl_1,axiom, % 0.65/1.01 ( c_Relation_Oantisym(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_total__on__diff__Id_0,axiom, % 0.65/1.01 ( c_Relation_Ototal__on(V_A,V_r,T_a) % 0.65/1.01 | ~ c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_total__on__diff__Id_1,axiom, % 0.65/1.01 ( c_Relation_Ototal__on(V_A,c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__into__trancl2_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_r__into__trancl_H_0,axiom, % 0.65/1.01 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_r__into__rtrancl_0,axiom, % 0.65/1.01 ( c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_notin__Lin__iff_1,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_quotient__eqI_0,axiom, % 0.65/1.01 ( V_X = V_Y % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_y,V_Y,T_a) % 0.65/1.01 | ~ c_in(V_x,V_X,T_a) % 0.65/1.01 | ~ c_in(V_Y,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_quotient__eq__iff_0,axiom, % 0.65/1.01 ( ~ c_in(V_y,V_x,T_a) % 0.65/1.01 | ~ c_in(V_xa,V_x,T_a) % 0.65/1.01 | ~ c_in(V_x,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_in(V_x,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 0.65/1.01 | c_in(c_Pair(V_xa,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__trans__comp__subset_0,axiom, % 0.65/1.01 ( c_lessequals(c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_0,axiom, % 0.65/1.01 ( ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_7,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_x % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_6,axiom, % 0.65/1.01 ( V_x = V_b % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_3,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_y = V_b % 0.65/1.01 | V_x = V_b % 0.65/1.01 | ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_2,axiom, % 0.65/1.01 ( V_xa = V_x % 0.65/1.01 | ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_x % 0.65/1.01 | c_in(c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_xa = V_a ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_1,axiom, % 0.65/1.01 ( ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_x % 0.65/1.01 | c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_13,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_12,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_x % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_10,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_a % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_8,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_y = V_a % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_5,axiom, % 0.65/1.01 ( V_xa = V_x % 0.65/1.01 | V_x = V_xa % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_xa % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_14,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_11,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_9,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_x % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_4,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_y = V_b % 0.65/1.01 | V_x = V_b % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_0,axiom, % 0.65/1.01 ( ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_7,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_y = V_x % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_6,axiom, % 0.65/1.01 ( V_x = V_a % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_x % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_3,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_a % 0.65/1.01 | V_y = V_a % 0.65/1.01 | ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_2,axiom, % 0.65/1.01 ( V_y = V_x % 0.65/1.01 | ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_y = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_1,axiom, % 0.65/1.01 ( ~ c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | c_in(c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_13,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_xa,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_x % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_12,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_10,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_y = V_b % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_8,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__above_5,axiom, % 0.65/1.01 ( V_xa = V_x % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_14,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_11,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_xa % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_xa % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_9,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_xa,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_xa = V_x % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_x = V_b % 0.65/1.01 | c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__below_4,axiom, % 0.65/1.01 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_a % 0.65/1.01 | V_y = V_a % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tranclD2_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tranclD_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__insert_1,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__insert_2,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Set_Oinsert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) % 0.65/1.01 | c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_strict__linear__order__on__def_3,axiom, % 0.65/1.01 ( c_Order__Relation_Ostrict__linear__order__on(V_A,V_r,T_a) % 0.65/1.01 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) % 0.65/1.01 | ~ c_Relation_Oirrefl(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Nitpick_Orefl_H__def_1,axiom, % 0.65/1.01 ( c_Nitpick_Orefl_H(V_r,T_a) % 0.65/1.01 | ~ c_in(c_Pair(c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__diff__Id_0,axiom, % 0.65/1.01 ( c_Relation_Otrans(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) % 0.65/1.01 | ~ c_Relation_Oantisym(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__Int__eq_0,axiom, % 0.65/1.01 ( c_Relation_OImage(V_R,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a) = c_Lattices_Olower__semilattice__class_Oinf(c_Relation_OImage(V_R,V_A,T_b,T_a),c_Relation_OImage(V_R,V_B,T_b,T_a),tc_fun(T_a,tc_bool)) % 0.65/1.01 | ~ c_Relation_Osingle__valued(c_Relation_Oconverse(V_R,T_b,T_a),T_a,T_b) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_irrefl__def_1,axiom, % 0.65/1.01 ( c_Relation_Oirrefl(V_r,T_a) % 0.65/1.01 | c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),c_ATP__Linkup_Osko__Relation__Xirrefl__def__1__1(V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__def__raw_0,axiom, % 0.65/1.01 c_Relation_ORange(v_r,t_a,t_b) = c_Relation_ODomain(c_Relation_Oconverse(v_r,t_a,t_b),t_b,t_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_refl__on__comp__subset_0,axiom, % 0.65/1.01 ( c_lessequals(V_r,c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__unfold_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OId(T_a),c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_reflcl__trancl_0,axiom, % 0.65/1.01 c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__reflcl_0,axiom, % 0.65/1.01 c_Transitive__Closure_Otrancl(c_Lattices_Oupper__semilattice__class_Osup(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Nitpick_Ortrancl__def_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Transitive__Closure_Otrancl(V_r,T_a),c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_cuts__eq_1,axiom, % 0.65/1.01 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) = c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) % 0.65/1.01 | c_in(c_Pair(c_List_Osko__Recdef__Xcuts__eq__1__1(V_f,V_g,V_r,V_x,T_a,T_b),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Id__onE_1,axiom, % 0.65/1.01 ( V_c = c_Pair(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),T_a,T_a) % 0.65/1.01 | ~ c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Id__onE_0,axiom, % 0.65/1.01 ( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),V_A,T_a) % 0.65/1.01 | ~ c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__acc__iff_1,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(V_r,T_a) % 0.65/1.01 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__wfI_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(V_r,T_a) % 0.65/1.01 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_IdE_0,axiom, % 0.65/1.01 ( V_p = c_Pair(c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),c_ATP__Linkup_Osko__Relation__XIdE__1__1(V_p,T_a),T_a,T_a) % 0.65/1.01 | ~ c_in(V_p,c_Relation_OId(T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rel__compEpair_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),V_c,T_c,T_b),V_s,tc_prod(T_c,T_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rel__compEpair_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1(V_a,V_c,V_r,V_s,T_a,T_b,T_c),T_a,T_c),V_r,tc_prod(T_a,T_c)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_c,T_a,T_b),c_Relation_Orel__comp(V_r,V_s,T_a,T_c,T_b),tc_prod(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_irrefl__trancl__rD_0,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1(V_r,T_a),T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__tranclE_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tranclD_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1(V_R,V_x,V_y,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl_Ocases_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a1,v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a)) % 0.65/1.01 | c_in(c_Pair(V_a1,V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acyclic__def_0,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Oacyclic(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tranclE_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tranclE_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tranclD2_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1(V_R,V_x,V_y,T_a),V_y,T_a,T_a),V_R,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__tranclE_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl_Ocases_1,axiom, % 0.65/1.01 ( c_in(c_Pair(v_sko__Transitive__Closure__Xtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | c_in(c_Pair(V_a1,V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Otrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__induct__rule_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__def_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_xa)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tfl__wf__induct_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_Ra)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_List_Osko__Recdef__Xtfl__wf__induct__1__1(V_P,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__induct_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtranclE_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | V_a = V_b % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rtranclE_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | V_x = V_z % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rtranclE_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1(V_r,V_x,V_z,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | V_x = V_z % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rtrancl__induct_2,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a))) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rtrancl__induct_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | c_in(c_Pair(c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2(V_P,V_b,V_r,T_a),V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__induct_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__induct_3,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2(V_P,V_a,V_r,T_a))) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl_Ocases_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a1,v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a)) % 0.65/1.01 | V_a2 = V_a1 % 0.65/1.01 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__induct_2,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1(V_P,V_a,V_r,T_a))) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl_Ocases_1,axiom, % 0.65/1.01 ( c_in(c_Pair(v_sko__Transitive__Closure__Xrtrancl__Xcases__1(V_a1,V_a2,V_r),V_a2,t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | V_a2 = V_a1 % 0.65/1.01 | ~ c_in(c_Pair(V_a1,V_a2,t_a,t_a),c_Transitive__Closure_Ortrancl(V_r,t_a),tc_prod(t_a,t_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rtrancl__induct_3,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1(V_P,V_b,V_r,T_a))) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,V_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtranclE_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1(V_a,V_b,V_r,T_a),T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | V_a = V_b % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_SigmaE_0,axiom, % 0.65/1.01 ( c_in(c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1(V_A,V_B,V_c,T_a,T_b),V_A,T_a) % 0.65/1.01 | ~ c_in(V_c,c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__in__rel_0,axiom, % 0.65/1.01 ( c_Wellfounded_OwfP(c_FunDef_Oin__rel(V_R,T_a,T_a),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_irrefl__diff__Id_0,axiom, % 0.65/1.01 c_Relation_Oirrefl(c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_irrefl__tranclI_0,axiom, % 0.65/1.01 ( c_Lattices_Olower__semilattice__class_Oinf(c_Relation_Oconverse(V_r,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_eq__equiv__class_0,axiom, % 0.65/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 0.65/1.01 | c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_b,V_A,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv__class__eq__iff_3,axiom, % 0.65/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 0.65/1.01 | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_y,V_A,T_a) % 0.65/1.01 | ~ c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_eq__equiv__class__iff_1,axiom, % 0.65/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) = c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_y,V_A,T_a) % 0.65/1.01 | ~ c_in(V_x,V_A,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_eq__equiv__class__iff_0,axiom, % 0.65/1.01 ( c_Relation_OImage(V_r,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) != c_Relation_OImage(V_r,c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a,T_a) % 0.65/1.01 | ~ c_in(V_y,V_A,T_a) % 0.65/1.01 | ~ c_in(V_x,V_A,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 0.65/1.01 | c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_snd__eq__Range_0,axiom, % 0.65/1.01 c_Set_Oimage(c_snd(T_b,T_a),V_R,tc_prod(T_b,T_a),T_a) = c_Relation_ORange(V_R,T_b,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__subset__Sigma__aux_0,axiom, % 0.65/1.01 ( c_in(V_a,V_A,T_a) % 0.65/1.01 | V_a = V_b % 0.65/1.01 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_A,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_fst__eq__Domain_0,axiom, % 0.65/1.01 c_Set_Oimage(c_fst(T_a,T_b),V_R,tc_prod(T_a,T_b),T_a) = c_Relation_ODomain(V_R,T_a,T_b) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__into__trancl1_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__eq__or__trancl_2,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | V_x = V_y ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__eq__or__trancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtranclD_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | V_a = V_b % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__converseI_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__converseD_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_y,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_single__valued__confluent_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_z,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Relation_Osingle__valued(V_r,T_a,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__into__rtrancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__rtrancl__trancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__trancl__trancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__converseD_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__converseI_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Product__Type_Osplit_0,axiom, % 0.65/1.01 hAPP(c_split(V_f,T_b,T_c,T_a),c_Pair(V_a,V_b,T_b,T_c)) = hAPP(hAPP(V_f,V_a),V_b) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_split__case__cert_0,axiom, % 0.65/1.01 hAPP(c_split(V_f,T_a,T_b,T_c),c_Pair(V_a,V_b,T_a,T_b)) = hAPP(hAPP(V_f,V_a),V_b) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_splitD_H_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(hAPP(hAPP(V_R,V_a),V_b),V_c)) % 0.65/1.01 | ~ hBOOL(hAPP(hAPP(c_split(V_R,T_a,T_b,tc_fun(T_c,tc_bool)),c_Pair(V_a,V_b,T_a,T_b)),V_c)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_imageI_0,axiom, % 0.65/1.01 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 0.65/1.01 | ~ c_in(V_x,V_A,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_image__eqI_0,axiom, % 0.65/1.01 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) % 0.65/1.01 | ~ c_in(V_x,V_A,T_b) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_image__iff_2,axiom, % 0.65/1.01 ( ~ c_in(V_x,V_A,T_b) % 0.65/1.01 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rev__image__eqI_0,axiom, % 0.65/1.01 ( ~ c_in(V_x,V_A,T_aa) % 0.65/1.01 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__wfD_0,axiom, % 0.65/1.01 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_single__valued__Id__on_0,axiom, % 0.65/1.01 c_Relation_Osingle__valued(c_Relation_OId__on(V_A,T_a),T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_ImageE_1,axiom, % 0.65/1.01 ( c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b) % 0.65/1.01 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__trancl_0,axiom, % 0.65/1.01 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__induct_2,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a))) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__id_0,axiom, % 0.65/1.01 ( c_Transitive__Closure_Otrancl(V_r,T_a) = V_r % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_Oinducts_2,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r))) % 0.65/1.01 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__induct__rule_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__converse_0,axiom, % 0.65/1.01 ( c_Relation_Osym(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__converse_1,axiom, % 0.65/1.01 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__domain_0,axiom, % 0.65/1.01 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__iff_0,axiom, % 0.65/1.01 ( c_in(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b) % 0.65/1.01 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_not__acc__down_1,axiom, % 0.65/1.01 ( ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),c_Wellfounded_Oacc(V_R,T_a),T_a) % 0.65/1.01 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__Id_0,axiom, % 0.65/1.01 c_Relation_Osym(c_Relation_OId(T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__Id__on_0,axiom, % 0.65/1.01 c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Id__O__R_0,axiom, % 0.65/1.01 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ). % 0.65/1.01 % 0.65/1.01 cnf(cls_R__O__Id_0,axiom, % 0.65/1.01 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__Id__on_0,axiom, % 0.65/1.01 c_Relation_Oantisym(c_Relation_OId__on(V_A,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__converse__trancl_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__induct__rule_2,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a))) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_refl__on__converse_0,axiom, % 0.65/1.01 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 0.65/1.01 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_refl__on__converse_1,axiom, % 0.65/1.01 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 0.65/1.01 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__rtrancl_0,axiom, % 0.65/1.01 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__comp__self_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__comp__self_1,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(V_R,T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__Id_0,axiom, % 0.65/1.01 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ). % 0.65/1.01 % 0.65/1.01 cnf(cls_single__valued__Id_0,axiom, % 0.65/1.01 c_Relation_Osingle__valued(c_Relation_OId(T_a),T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Domain__Id__on_0,axiom, % 0.65/1.01 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__conv__converse__eq_0,axiom, % 0.65/1.01 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__conv__converse__eq_1,axiom, % 0.65/1.01 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r % 0.65/1.01 | c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__range_0,axiom, % 0.65/1.01 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__trancl_0,axiom, % 0.65/1.01 c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rel__comp_0,axiom, % 0.65/1.01 c_Relation_Oconverse(c_Relation_Orel__comp(V_r,V_s,T_b,T_c,T_a),T_b,T_a) = c_Relation_Orel__comp(c_Relation_Oconverse(V_s,T_c,T_a),c_Relation_Oconverse(V_r,T_b,T_c),T_a,T_c,T_b) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__Id__on_0,axiom, % 0.65/1.01 c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_refl__on__Id__on_0,axiom, % 0.65/1.01 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__inv__image_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_r__comp__rtrancl__eq_0,axiom, % 0.65/1.01 c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__inv__image_0,axiom, % 0.65/1.01 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__trancl__absorb_0,axiom, % 0.65/1.01 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__rtrancl_0,axiom, % 0.65/1.01 c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__converse_0,axiom, % 0.65/1.01 ( c_Relation_Otrans(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__converse_1,axiom, % 0.65/1.01 ( c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__Id_0,axiom, % 0.65/1.01 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__trancl_0,axiom, % 0.65/1.01 ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_O__assoc_0,axiom, % 0.65/1.01 c_Relation_Orel__comp(c_Relation_Orel__comp(V_R,V_S,T_a,T_d,T_c),V_T,T_a,T_c,T_b) = c_Relation_Orel__comp(V_R,c_Relation_Orel__comp(V_S,V_T,T_d,T_c,T_b),T_a,T_d,T_b) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__inv__image_0,axiom, % 0.65/1.01 c_Relation_Oconverse(c_Relation_Oinv__image(V_R,V_f,T_b,T_a),T_a,T_a) = c_Relation_Oinv__image(c_Relation_Oconverse(V_R,T_b,T_b),V_f,T_b,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__converse_0,axiom, % 0.65/1.01 c_Transitive__Closure_Otrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__inv__image_0,axiom, % 0.65/1.01 ( c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__Id__on_0,axiom, % 0.65/1.01 c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a) = c_Relation_OId__on(V_A,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_comp__equivI_0,axiom, % 0.65/1.01 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r % 0.65/1.01 | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__Id_0,axiom, % 0.65/1.01 c_Relation_Oantisym(c_Relation_OId(T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__converse_0,axiom, % 0.65/1.01 c_Relation_ORange(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = c_Relation_ODomain(V_r,T_a,T_b) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__eq__minimal_0,axiom, % 0.65/1.01 ( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a) % 0.65/1.01 | ~ c_in(V_xa,V_Q,T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__Id__on_0,axiom, % 0.65/1.01 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ). % 0.65/1.01 % 0.65/1.01 cnf(cls_single__valued__rel__comp_0,axiom, % 0.65/1.01 ( c_Relation_Osingle__valued(c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),T_a,T_c) % 0.65/1.01 | ~ c_Relation_Osingle__valued(V_s,T_b,T_c) % 0.65/1.01 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__converse_0,axiom, % 0.65/1.01 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__Id_0,axiom, % 0.65/1.01 c_Relation_Otrans(c_Relation_OId(T_a),T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv__comp__eq_0,axiom, % 0.65/1.01 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) = V_r % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__idemp__self__comp_0,axiom, % 0.65/1.01 c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_R,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),T_a,T_a,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__converse_0,axiom, % 0.65/1.01 ( c_Relation_Oantisym(V_r,T_a) % 0.65/1.01 | ~ c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__converse_1,axiom, % 0.65/1.01 ( c_Relation_Oantisym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 0.65/1.01 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_Oinduct_2,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r))) % 0.65/1.01 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv_Orefl__on_0,axiom, % 0.65/1.01 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__converse_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_Oconverse(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wfE__min_0,axiom, % 0.65/1.01 ( c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),V_Q,T_a) % 0.65/1.01 | ~ c_in(V_x,V_Q,T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv_Osym_0,axiom, % 0.65/1.01 ( c_Relation_Osym(V_r,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_OaccI_1,axiom, % 0.65/1.01 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_congruent2__implies__congruent_0,axiom, % 0.65/1.01 ( c_Equiv__Relations_Ocongruent(V_r2,hAPP(V_f,V_a),T_b,T_c) % 0.65/1.01 | ~ c_in(V_a,V_A,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r1,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_mkbot__Lin_0,axiom, % 0.65/1.01 ( c_in(c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_mktop__Lin_0,axiom, % 0.65/1.01 ( c_in(c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_complete__Lin_0,axiom, % 0.65/1.01 ( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(V_a,V_b),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 0.65/1.01 | V_a = V_b ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Domain__converse_0,axiom, % 0.65/1.01 c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) = c_Relation_ORange(V_r,T_b,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__unfold__right_0,axiom, % 0.65/1.01 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(c_Transitive__Closure_Ortrancl(V_r,T_a),V_r,T_a,T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__unfold__left_0,axiom, % 0.65/1.01 c_Transitive__Closure_Otrancl(V_r,T_a) = c_Relation_Orel__comp(V_r,c_Transitive__Closure_Ortrancl(V_r,T_a),T_a,T_a,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__def_0,axiom, % 0.65/1.01 c_Relation_ORange(V_r,T_b,T_a) = c_Relation_ODomain(c_Relation_Oconverse(V_r,T_b,T_a),T_a,T_b) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_total__on__converse_0,axiom, % 0.65/1.01 ( c_Relation_Ototal__on(V_A,V_r,T_a) % 0.65/1.01 | ~ c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_total__on__converse_1,axiom, % 0.65/1.01 ( c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 0.65/1.01 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_equiv_Otrans_0,axiom, % 0.65/1.01 ( c_Relation_Otrans(V_r,T_a) % 0.65/1.01 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__induct_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__rtrancl__absorb_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__idemp_0,axiom, % 0.65/1.01 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_notin__Lin__iff_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | V_x = V_y % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Lin__irrefl_0,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_b,V_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.01 | ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_ImageE_0,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 0.65/1.01 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_not__acc__down_0,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1(V_R,V_x,T_a),V_x,T_a,T_a),V_R,tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__induct__rule_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_Oinduct_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wfE__min_1,axiom, % 0.65/1.01 ( ~ c_in(V_y,V_Q,T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),T_a,T_a),V_R,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_x,V_Q,T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_RangeE_0,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRangeE__1__1(V_b,V_r,T_a,T_b),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 0.65/1.01 | ~ c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_OaccI_0,axiom, % 0.65/1.01 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | c_in(c_Pair(c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1(V_r,V_x,T_a),V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__downwards__aux_0,axiom, % 0.65/1.01 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__downwards_0,axiom, % 0.65/1.01 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_Oinducts_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a) % 0.65/1.01 | ~ c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Not__Domain__rtrancl_1,axiom, % 0.65/1.01 ( c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a) % 0.65/1.01 | c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_Oinducts_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_pair__imageI_0,axiom, % 0.65/1.01 ( c_in(hAPP(hAPP(V_f,V_a),V_b),c_Set_Oimage(c_split(V_f,T_a,T_b,T_c),V_A,tc_prod(T_a,T_b),T_c),T_c) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_A,tc_prod(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_DomainE_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomainE__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b)) % 0.65/1.01 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc_Oinduct_0,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_x)) % 0.65/1.01 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a) % 0.65/1.01 | ~ c_in(c_Pair(V_ya,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r),t_a,t_a),V_r,tc_prod(t_a,t_a)) % 0.65/1.01 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_acc__induct_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(V_P,V_a)) % 0.65/1.01 | hBOOL(hAPP(V_P,V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__eq__minimal_1,axiom, % 0.65/1.01 ( ~ c_in(V_y,V_Q,T_a) % 0.65/1.01 | ~ c_in(c_Pair(V_y,c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(V_xa,V_Q,T_a) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Domain__iff_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1(V_a,V_r,T_a,T_b),T_a,T_b),V_r,tc_prod(T_a,T_b)) % 0.65/1.01 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Image__iff_1,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XImage__iff__1__1(V_A,V_b,V_r,T_b,T_a),V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 0.65/1.01 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Not__Domain__rtrancl_0,axiom, % 0.65/1.01 ( V_x = V_y % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Range__iff_0,axiom, % 0.65/1.01 ( c_in(c_Pair(c_ATP__Linkup_Osko__Relation__XRange__iff__1__1(V_a,V_r,T_a,T_b),V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 0.65/1.01 | ~ c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_mem__splitI_0,axiom, % 0.65/1.01 ( c_in(V_z,hAPP(c_split(V_c,T_b,T_c,tc_fun(T_a,tc_bool)),c_Pair(V_a,V_b,T_b,T_c)),T_a) % 0.65/1.01 | ~ c_in(V_z,hAPP(hAPP(V_c,V_a),V_b),T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_congruent2_Ocongruent2_0,axiom, % 0.65/1.01 ( hAPP(hAPP(V_f,V_y1),V_y2) = hAPP(hAPP(V_f,V_z1),V_z2) % 0.65/1.01 | ~ c_in(c_Pair(V_y2,V_z2,T_b,T_b),V_r2,tc_prod(T_b,T_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_y1,V_z1,T_a,T_a),V_r1,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Equiv__Relations_Ocongruent2(V_r1,V_r2,V_f,T_a,T_b,T_c) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_single__valuedD_0,axiom, % 0.65/1.01 ( V_y = V_z % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_z,T_a,T_b),V_r,tc_prod(T_a,T_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_r,tc_prod(T_a,T_b)) % 0.65/1.01 | ~ c_Relation_Osingle__valued(V_r,T_a,T_b) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_tfl__cut__apply_0,axiom, % 0.65/1.01 ( hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_cut__apply_0,axiom, % 0.65/1.01 ( hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__rel__def_1,axiom, % 0.65/1.01 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(V_R,T_a,T_b),V_x),V_y)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__rel__def_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,T_a,T_b),V_R,tc_prod(T_a,T_b)) % 0.65/1.01 | ~ hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(V_R,T_a,T_b),V_x),V_y)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trans__def_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_transD_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__iff_1,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converseI_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_b,V_a,T_b,T_a),c_Relation_Oconverse(V_r,T_a,T_b),tc_prod(T_b,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converseD_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Relation_Oconverse(V_r,T_b,T_a),tc_prod(T_a,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_irrefl__def_0,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Relation_Oirrefl(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl__into__trancl2_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_converse__rtrancl__into__rtrancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_trancl_Or__into__trancl_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__trans_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl_Ortrancl__refl_0,axiom, % 0.65/1.01 c_in(c_Pair(V_a,V_a,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_rtrancl__eq__or__trancl_1,axiom, % 0.65/1.01 c_in(c_Pair(V_x,V_x,T_a,T_a),c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__asym_0,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisym__def_0,axiom, % 0.65/1.01 ( V_x = V_y % 0.65/1.01 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_antisymD_0,axiom, % 0.65/1.01 ( V_a = V_b % 0.65/1.01 | ~ c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Relation_Oantisym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_congruent_Ocongruent_0,axiom, % 0.65/1.01 ( hAPP(V_f,V_y) = hAPP(V_f,V_z) % 0.65/1.01 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Equiv__Relations_Ocongruent(V_r,V_f,T_a,T_b) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Id__on__iff_0,axiom, % 0.65/1.01 ( V_x = V_y % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_cuts__eq_0,axiom, % 0.65/1.01 ( c_Recdef_Ocut(V_f,V_r,V_x,T_a,T_b) != c_Recdef_Ocut(V_g,V_r,V_x,T_a,T_b) % 0.65/1.01 | hAPP(V_f,V_y) = hAPP(V_g,V_y) % 0.65/1.01 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_pair__in__Id__conv_0,axiom, % 0.65/1.01 ( V_a = V_b % 0.65/1.01 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_Nitpick_Orefl_H__def_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Nitpick_Orefl_H(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_wf__irrefl_0,axiom, % 0.65/1.01 ( ~ c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__inv__image_1,axiom, % 0.65/1.01 ( c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_in__inv__image_0,axiom, % 0.65/1.01 ( c_in(c_Pair(hAPP(V_f,V_x),hAPP(V_f,V_y),T_b,T_b),V_r,tc_prod(T_b,T_b)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_Oinv__image(V_r,V_f,T_b,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_sym__def_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.01 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.01 % 0.65/1.01 cnf(cls_symD_0,axiom, % 0.65/1.01 ( c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_Relation_Osym(V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_rel__compI_0,axiom, % 0.65/1.02 ( c_in(c_Pair(V_a,V_c,T_a,T_c),c_Relation_Orel__comp(V_r,V_s,T_a,T_b,T_c),tc_prod(T_a,T_c)) % 0.65/1.02 | ~ c_in(c_Pair(V_b,V_c,T_b,T_c),V_s,tc_prod(T_b,T_c)) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_r__r__into__trancl_0,axiom, % 0.65/1.02 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_R,T_a),tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_R,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_trancl__trans_0,axiom, % 0.65/1.02 ( c_in(c_Pair(V_a,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_pair__in__Id__conv_1,axiom, % 0.65/1.02 c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_IdI_0,axiom, % 0.65/1.02 c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mktop_5,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | V_x = V_y % 0.65/1.02 | V_x = V_z ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mktop_3,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | V_y = V_z % 0.65/1.02 | V_x = V_z ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mktop_1,axiom, % 0.65/1.02 ~ c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mktop_0,axiom, % 0.65/1.02 ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mktop_2,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | V_y = V_z % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mkbot_4,axiom, % 0.65/1.02 ( V_x = V_y % 0.65/1.02 | V_y = V_x % 0.65/1.02 | c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mkbot_1,axiom, % 0.65/1.02 ~ c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mkbot_0,axiom, % 0.65/1.02 ~ c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mkbot_5,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | V_x = V_y % 0.65/1.02 | V_y = V_z ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mkbot_3,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | V_x = V_z % 0.65/1.02 | V_y = V_z ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mktop_4,axiom, % 0.65/1.02 ( V_xa = V_x % 0.65/1.02 | V_xa = V_x % 0.65/1.02 | c_in(c_Pair(V_xa,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omktop(V_L,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_in__mkbot_2,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | V_x = V_z % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_Omkbot(V_L,V_z),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_complete__Lin_1,axiom, % 0.65/1.02 ( c_in(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),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) % 0.65/1.02 | V_a = V_b ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_mem__Sigma__iff_2,axiom, % 0.65/1.02 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) % 0.65/1.02 | ~ c_in(V_b,hAPP(V_B,V_a),T_b) % 0.65/1.02 | ~ c_in(V_a,V_A,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_SigmaI_0,axiom, % 0.65/1.02 ( c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) % 0.65/1.02 | ~ c_in(V_b,hAPP(V_B,V_a),T_b) % 0.65/1.02 | ~ c_in(V_a,V_A,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_acc__downward_0,axiom, % 0.65/1.02 ( c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_acc_Ocases_0,axiom, % 0.65/1.02 ( c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_rev__ImageI_0,axiom, % 0.65/1.02 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) % 0.65/1.02 | ~ c_in(V_a,V_A,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_Image__iff_2,axiom, % 0.65/1.02 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 0.65/1.02 | ~ c_in(V_x,V_A,T_b) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_Id__on__iff_1,axiom, % 0.65/1.02 ( c_in(V_x,V_A,T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_Id__on__eqI_0,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(V_x,V_A,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_equiv__class__eq__iff_2,axiom, % 0.65/1.02 ( c_in(V_y,V_A,T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_equiv__class__eq__iff_1,axiom, % 0.65/1.02 ( c_in(V_x,V_A,T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_Range__iff_1,axiom, % 0.65/1.02 ( c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_RangeI_0,axiom, % 0.65/1.02 ( c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_Domain__iff_1,axiom, % 0.65/1.02 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_DomainI_0,axiom, % 0.65/1.02 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_SigmaD2_0,axiom, % 0.65/1.02 ( c_in(V_b,hAPP(V_B,V_a),T_b) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_SigmaD1_0,axiom, % 0.65/1.02 ( c_in(V_a,V_A,T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),c_Product__Type_OSigma(V_A,V_B,T_a,T_b),tc_prod(T_a,T_b)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_total__on__def_0,axiom, % 0.65/1.02 ( c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | V_x = V_xa % 0.65/1.02 | ~ c_in(V_xa,V_A,T_a) % 0.65/1.02 | ~ c_in(V_x,V_A,T_a) % 0.65/1.02 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_refl__on__def_1,axiom, % 0.65/1.02 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(V_x,V_A,T_a) % 0.65/1.02 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_refl__onD2_0,axiom, % 0.65/1.02 ( c_in(V_y,V_A,T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_refl__onD1_0,axiom, % 0.65/1.02 ( c_in(V_x,V_A,T_a) % 0.65/1.02 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_refl__onD_0,axiom, % 0.65/1.02 ( c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 0.65/1.02 | ~ c_in(V_a,V_A,T_a) % 0.65/1.02 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_Pair__eq_1,axiom, % 0.65/1.02 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 0.65/1.02 | V_b = V_b_H ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_Pair__eq_0,axiom, % 0.65/1.02 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 0.65/1.02 | V_a = V_a_H ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_mem__def_1,axiom, % 0.65/1.02 ( c_in(V_x,V_S,T_a) % 0.65/1.02 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_mem__def_0,axiom, % 0.65/1.02 ( hBOOL(hAPP(V_S,V_x)) % 0.65/1.02 | ~ c_in(V_x,V_S,T_a) ) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_CHAINED_0,axiom, % 0.65/1.02 c_in(v_Lab____,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_CHAINED_0_01,axiom, % 0.65/1.02 c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_conjecture_0,negated_conjecture, % 0.65/1.02 c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_Lab____,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 0.65/1.02 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Lattices_Olattice(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 0.65/1.02 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Lattices_Olattice(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 0.65/1.02 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 0.65/1.02 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.65/1.02 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Lattices_Olattice,axiom, % 0.65/1.02 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Lattices_Olattice(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.65/1.02 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Orderings_Oorder(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.65/1.02 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_Orderings_Obot(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_fun__HOL_Oord,axiom, % 0.65/1.02 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 0.65/1.02 | ~ class_HOL_Oord(T_1) ) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 0.65/1.02 class_Lattices_Oupper__semilattice(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 0.65/1.02 class_Lattices_Olower__semilattice(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 0.65/1.02 class_Lattices_Odistrib__lattice(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 0.65/1.02 class_Lattices_Obounded__lattice(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 0.65/1.02 class_Orderings_Opreorder(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Lattices_Olattice,axiom, % 0.65/1.02 class_Lattices_Olattice(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Orderings_Oorder,axiom, % 0.65/1.02 class_Orderings_Oorder(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__Orderings_Obot,axiom, % 0.65/1.02 class_Orderings_Obot(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(clsarity_bool__HOL_Oord,axiom, % 0.65/1.02 class_HOL_Oord(tc_bool) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.65/1.02 c_fequal(V_x,V_x,T_a) ). % 0.65/1.02 % 0.65/1.02 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.65/1.02 ( V_X = V_Y % 0.65/1.02 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.65/1.02 % 0.65/1.02 %------------------------------------------------------------------------------ % 0.65/1.02 %------------------------------------------- % 0.65/1.02 % Proof found % 0.65/1.02 % SZS status Theorem for theBenchmark % 0.65/1.02 % SZS output start Proof % 0.65/1.02 %ClaNum:995(EqnAxiom:292) % 0.65/1.02 %VarNum:7096(SingletonVarNum:2199) % 0.65/1.02 %MaxLitNum:7 % 0.65/1.02 %MaxfuncDepth:5 % 0.65/1.02 %SharedTerms:24 % 0.65/1.02 %goalClause: 390 % 0.65/1.02 %singleGoalClaCount:1 % 0.65/1.02 [293]P1(a1) % 0.65/1.02 [294]P2(a1) % 0.65/1.02 [295]P23(a1) % 0.65/1.02 [296]P24(a1) % 0.65/1.02 [297]P25(a1) % 0.65/1.02 [298]P3(a1) % 0.65/1.02 [299]P28(a1) % 0.65/1.02 [300]P4(a1) % 0.65/1.02 [301]P30(a1) % 0.65/1.02 [389]P22(f52(a71,a72,a61,a61),a69,f70(a61,a61)) % 0.65/1.02 [390]P22(f52(a72,a71,a61,a61),a69,f70(a61,a61)) % 0.65/1.02 [317]P22(a69,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [323]E(f47(f68(f70(x3231,x3231),a1)),f2(f47(f68(x3231,a1)),x3231)) % 0.65/1.02 [333]P18(f47(f68(f70(x3331,x3331),a1)),x3331) % 0.65/1.02 [334]P6(f47(f68(f70(x3341,x3341),a1)),x3341) % 0.65/1.02 [347]P12(f47(f68(x3471,a1)),f47(f68(f70(x3471,x3471),a1)),x3471) % 0.65/1.02 [362]P5(f54(f47(f68(f70(x3621,x3621),a1)),x3621),x3621) % 0.65/1.02 [364]P6(f54(f47(f68(f70(x3641,x3641),a1)),x3641),x3641) % 0.65/1.02 [369]P14(f54(f47(f68(f70(x3691,x3691),a1)),x3691),x3691,x3691) % 0.65/1.02 [391]E(f55(f54(f47(f68(f70(x3911,x3911),a1)),x3911),x3911,x3911),f54(f47(f68(f70(x3911,x3911),a1)),x3911)) % 0.65/1.02 [307]P17(x3071,x3071,x3072) % 0.65/1.02 [302]P5(f2(x3021,x3022),x3022) % 0.65/1.02 [303]P15(f54(x3031,x3032),x3032) % 0.65/1.02 [304]P15(f2(x3041,x3042),x3042) % 0.65/1.02 [305]P6(f2(x3051,x3052),x3052) % 0.65/1.02 [309]P21(x3091,x3091,f68(x3092,a1)) % 0.65/1.02 [312]P12(x3121,f2(x3121,x3122),x3122) % 0.65/1.02 [313]P14(f2(x3131,x3132),x3132,x3132) % 0.65/1.02 [306]E(f54(f54(x3061,x3062),x3062),f54(x3061,x3062)) % 0.65/1.02 [310]E(f3(x3101,x3101,f68(x3102,a1)),x3101) % 0.65/1.02 [311]E(f46(x3111,x3111,f68(x3112,a1)),x3111) % 0.65/1.02 [314]E(f55(f2(x3141,x3142),x3142,x3142),f2(x3141,x3142)) % 0.65/1.02 [315]E(f4(x3151,x3151,f68(x3152,a1)),f47(f68(x3152,a1))) % 0.65/1.02 [316]P16(f47(f68(x3161,a1)),x3162,x3161) % 0.65/1.02 [319]P21(f47(f68(x3191,a1)),x3192,f68(x3191,a1)) % 0.65/1.02 [320]E(f4(x3201,f47(f68(x3202,a1)),f68(x3202,a1)),x3201) % 0.65/1.02 [321]E(f46(x3211,f47(f68(x3212,a1)),f68(x3212,a1)),x3211) % 0.65/1.02 [322]E(f46(f47(f68(x3221,a1)),x3222,f68(x3221,a1)),x3222) % 0.65/1.02 [326]E(f3(x3261,f47(f68(x3262,a1)),f68(x3262,a1)),f47(f68(x3262,a1))) % 0.65/1.02 [327]E(f3(f47(f68(x3271,a1)),x3272,f68(x3271,a1)),f47(f68(x3271,a1))) % 0.65/1.02 [328]E(f4(f47(f68(x3281,a1)),x3282,f68(x3281,a1)),f47(f68(x3281,a1))) % 0.65/1.02 [337]E(f55(f54(x3371,x3372),x3372,x3372),f54(f55(x3371,x3372,x3372),x3372)) % 0.65/1.02 [356]E(f58(f63(x3561,x3561),f2(x3562,x3561),f70(x3561,x3561),x3561),x3562) % 0.65/1.02 [373]E(f58(f63(x3731,x3731),f55(f2(x3732,x3731),x3731,x3731),f70(x3731,x3731),x3731),x3732) % 0.65/1.02 [412]E(f58(f63(x4121,x4122),f55(f47(f68(f70(x4122,x4121),a1)),x4122,x4121),f70(x4121,x4122),x4121),f47(f68(x4121,a1))) % 0.65/1.02 [427]E(f60(f54(x4271,x4272),f54(x4271,x4272),x4272,x4272,x4272),f54(x4271,x4272)) % 0.65/1.02 [447]E(f60(f54(x4471,x4472),x4471,x4472,x4472,x4472),f60(x4471,f54(x4471,x4472),x4472,x4472,x4472)) % 0.65/1.02 [448]P15(f60(x4481,f54(x4481,x4482),x4482,x4482,x4482),x4482) % 0.65/1.02 [457]E(f58(f63(x4571,x4571),f60(x4572,f54(x4572,x4571),x4571,x4571,x4571),f70(x4571,x4571),x4571),f58(f63(x4571,x4571),x4572,f70(x4571,x4571),x4571)) % 0.65/1.02 [466]E(f58(f63(x4661,x4661),f55(f60(x4662,f54(x4662,x4661),x4661,x4661,x4661),x4661,x4661),f70(x4661,x4661),x4661),f58(f63(x4661,x4661),f55(x4662,x4661,x4661),f70(x4661,x4661),x4661)) % 0.65/1.02 [476]~P22(x4761,f47(f68(x4762,a1)),x4762) % 0.65/1.02 [380]P5(f3(x3801,f55(x3801,x3802,x3802),f68(f70(x3802,x3802),a1)),x3802) % 0.65/1.02 [381]P5(f46(x3811,f55(x3811,x3812,x3812),f68(f70(x3812,x3812),a1)),x3812) % 0.65/1.02 [383]E(f46(f54(x3831,x3832),f54(f47(f68(f70(x3832,x3832),a1)),x3832),f68(f70(x3832,x3832),a1)),f54(x3831,x3832)) % 0.65/1.02 [420]P13(f4(x4201,f54(f47(f68(f70(x4202,x4202),a1)),x4202),f68(f70(x4202,x4202),a1)),x4202) % 0.65/1.02 [421]P21(f2(x4211,x4212),f51(x4211,f39(x4211,f68(x4212,a1),x4212),x4212,x4212),f68(f70(x4212,x4212),a1)) % 0.65/1.02 [428]E(f60(f54(x4281,x4282),f54(f54(x4281,x4282),x4282),x4282,x4282,x4282),f54(x4281,x4282)) % 0.65/1.02 [449]E(f54(f60(x4491,f54(x4491,x4492),x4492,x4492,x4492),x4492),f54(x4491,x4492)) % 0.65/1.02 [452]E(f46(f54(f47(f68(f70(x4521,x4521),a1)),x4521),f60(f54(x4522,x4521),x4522,x4521,x4521,x4521),f68(f70(x4521,x4521),a1)),f54(x4522,x4521)) % 0.65/1.02 [453]E(f46(f60(x4531,f54(x4531,x4532),x4532,x4532,x4532),f54(f47(f68(f70(x4532,x4532),a1)),x4532),f68(f70(x4532,x4532),a1)),f54(x4531,x4532)) % 0.65/1.02 [463]E(f60(f55(x4631,x4632,x4632),f54(f55(x4631,x4632,x4632),x4632),x4632,x4632,x4632),f55(f60(x4631,f54(x4631,x4632),x4632,x4632,x4632),x4632,x4632)) % 0.65/1.02 [471]E(f46(x4711,f60(f60(x4711,f54(x4711,x4712),x4712,x4712,x4712),x4711,x4712,x4712,x4712),f68(f70(x4712,x4712),a1)),f60(x4711,f54(x4711,x4712),x4712,x4712,x4712)) % 0.65/1.02 [477]~P31(f62(f47(f68(x4771,a1)),x4772)) % 0.65/1.02 [422]E(f54(f4(x4221,f54(f47(f68(f70(x4222,x4222),a1)),x4222),f68(f70(x4222,x4222),a1)),x4222),f54(x4221,x4222)) % 0.65/1.02 [423]E(f54(f46(x4231,f54(f47(f68(f70(x4232,x4232),a1)),x4232),f68(f70(x4232,x4232),a1)),x4232),f54(x4231,x4232)) % 0.65/1.02 [393]E(f56(f54(f47(f68(f70(x3931,x3931),a1)),x3931),x3932,x3931,x3931),x3932) % 0.65/1.02 [462]E(f60(f46(x4621,f54(f47(f68(f70(x4622,x4622),a1)),x4622),f68(f70(x4622,x4622),a1)),f54(f46(x4621,f54(f47(f68(f70(x4622,x4622),a1)),x4622),f68(f70(x4622,x4622),a1)),x4622),x4622,x4622,x4622),f54(x4621,x4622)) % 0.65/1.02 [331]P22(x3311,f57(x3311,x3312,x3313),x3313) % 0.65/1.02 [336]P21(x3361,f57(x3362,x3361,x3363),f68(x3363,a1)) % 0.65/1.02 [395]P22(f52(x3951,x3951,x3952,x3952),f54(x3953,x3952),f70(x3952,x3952)) % 0.65/1.02 [478]~P22(f52(x4781,x4782,a61,a61),f40(x4783,x4782),f70(a61,a61)) % 0.65/1.02 [479]~P22(f52(x4791,x4792,a61,a61),f43(x4793,x4791),f70(a61,a61)) % 0.65/1.02 [324]E(f3(x3241,x3242,f68(x3243,a1)),f3(x3242,x3241,f68(x3243,a1))) % 0.65/1.02 [325]E(f46(x3251,x3252,f68(x3253,a1)),f46(x3252,x3251,f68(x3253,a1))) % 0.65/1.02 [332]E(f55(f55(x3321,x3322,x3323),x3323,x3322),x3321) % 0.65/1.02 [339]E(f57(x3391,f57(x3391,x3392,x3393),x3393),f57(x3391,x3392,x3393)) % 0.65/1.02 [340]P21(x3401,f46(x3402,x3401,f68(x3403,a1)),f68(x3403,a1)) % 0.65/1.02 [341]P21(x3411,f46(x3411,x3412,f68(x3413,a1)),f68(x3413,a1)) % 0.65/1.02 [342]P21(f3(x3421,x3422,f68(x3423,a1)),x3422,f68(x3423,a1)) % 0.65/1.02 [343]P21(f3(x3431,x3432,f68(x3433,a1)),x3431,f68(x3433,a1)) % 0.65/1.02 [344]P21(f4(x3441,x3442,f68(x3443,a1)),x3441,f68(x3443,a1)) % 0.65/1.02 [345]P31(f62(f57(x3451,x3452,x3453),x3451)) % 0.65/1.02 [346]E(f3(x3461,f4(x3462,x3461,f68(x3463,a1)),f68(x3463,a1)),f47(f68(x3463,a1))) % 0.65/1.02 [350]E(f3(x3501,f3(x3501,x3502,f68(x3503,a1)),f68(x3503,a1)),f3(x3501,x3502,f68(x3503,a1))) % 0.65/1.02 [351]E(f46(x3511,f4(x3512,x3511,f68(x3513,a1)),f68(x3513,a1)),f46(x3511,x3512,f68(x3513,a1))) % 0.65/1.02 [352]E(f46(x3521,f46(x3521,x3522,f68(x3523,a1)),f68(x3523,a1)),f46(x3521,x3522,f68(x3523,a1))) % 0.65/1.02 [353]E(f4(f4(x3531,x3532,f68(x3533,a1)),x3532,f68(x3533,a1)),f4(x3531,x3532,f68(x3533,a1))) % 0.65/1.02 [354]E(f46(f4(x3541,x3542,f68(x3543,a1)),x3542,f68(x3543,a1)),f46(x3541,x3542,f68(x3543,a1))) % 0.65/1.02 [360]E(f46(f57(x3601,f47(f68(x3602,a1)),x3602),x3603,f68(x3602,a1)),f57(x3601,x3603,x3602)) % 0.65/1.02 [361]E(f56(f2(x3611,x3612),x3613,x3612,x3612),f3(x3611,x3613,f68(x3612,a1))) % 0.65/1.02 [366]E(f46(f4(x3661,x3662,f68(x3663,a1)),f3(x3661,x3662,f68(x3663,a1)),f68(x3663,a1)),x3661) % 0.65/1.02 [411]E(f58(f63(x4111,x4112),f55(x4113,x4112,x4111),f70(x4111,x4112),x4111),f58(f65(x4112,x4111),x4113,f70(x4112,x4111),x4111)) % 0.65/1.02 [418]E(f58(f63(x4181,x4182),f55(f55(x4183,x4181,x4182),x4182,x4181),f70(x4181,x4182),x4181),f58(f63(x4181,x4182),x4183,f70(x4181,x4182),x4181)) % 0.65/1.02 [472]~E(f57(x4721,x4722,x4723),f47(f68(x4723,a1))) % 0.65/1.02 [473]~E(f47(f68(x4731,a1)),f57(x4732,x4733,x4731)) % 0.65/1.02 [358]E(f56(x3581,f47(f68(x3582,a1)),x3582,x3583),f47(f68(x3583,a1))) % 0.65/1.02 [359]E(f58(x3591,f47(f68(x3592,a1)),x3592,x3593),f47(f68(x3593,a1))) % 0.65/1.02 [365]E(f51(f47(f68(x3651,a1)),x3652,x3651,x3653),f47(f68(f70(x3651,x3653),a1))) % 0.65/1.02 [371]E(f52(f62(f63(x3711,x3712),x3713),f62(f65(x3711,x3712),x3713),x3711,x3712),x3713) % 0.65/1.02 [392]E(f51(x3921,f39(f47(f68(x3922,a1)),f68(x3922,a1),x3923),x3923,x3922),f47(f68(f70(x3923,x3922),a1))) % 0.65/1.02 [410]E(f57(x4101,f4(x4102,f57(x4101,f47(f68(x4103,a1)),x4103),f68(x4103,a1)),x4103),f57(x4101,x4102,x4103)) % 0.65/1.02 [407]E(f54(f46(f54(x4071,x4072),f54(x4073,x4072),f68(f70(x4072,x4072),a1)),x4072),f54(f46(x4071,x4073,f68(f70(x4072,x4072),a1)),x4072)) % 0.65/1.02 [424]P21(f46(f54(x4241,x4242),f54(x4243,x4242),f68(f70(x4242,x4242),a1)),f54(f46(x4241,x4243,f68(f70(x4242,x4242),a1)),x4242),f68(f70(x4242,x4242),a1)) % 0.65/1.02 [436]E(f60(x4361,f54(f47(f68(f70(x4362,x4362),a1)),x4362),x4363,x4362,x4362),x4361) % 0.65/1.02 [437]E(f60(f54(f47(f68(f70(x4371,x4371),a1)),x4371),x4372,x4371,x4371,x4373),x4372) % 0.65/1.02 [318]E(f62(f39(x3181,x3182,x3183),x3184),x3181) % 0.65/1.02 [355]E(f57(x3551,f57(x3552,x3553,x3554),x3554),f57(x3552,f57(x3551,x3553,x3554),x3554)) % 0.65/1.02 [374]E(f3(x3741,f3(x3742,x3743,f68(x3744,a1)),f68(x3744,a1)),f3(x3742,f3(x3741,x3743,f68(x3744,a1)),f68(x3744,a1))) % 0.65/1.02 [375]E(f46(x3751,f46(x3752,x3753,f68(x3754,a1)),f68(x3754,a1)),f46(x3752,f46(x3751,x3753,f68(x3754,a1)),f68(x3754,a1))) % 0.65/1.02 [376]E(f3(f3(x3761,x3762,f68(x3763,a1)),x3764,f68(x3763,a1)),f3(x3761,f3(x3762,x3764,f68(x3763,a1)),f68(x3763,a1))) % 0.65/1.02 [377]E(f4(f3(x3771,x3772,f68(x3773,a1)),x3774,f68(x3773,a1)),f3(x3771,f4(x3772,x3774,f68(x3773,a1)),f68(x3773,a1))) % 0.65/1.02 [378]E(f46(f46(x3781,x3782,f68(x3783,a1)),x3784,f68(x3783,a1)),f46(x3781,f46(x3782,x3784,f68(x3783,a1)),f68(x3783,a1))) % 0.65/1.02 [387]E(f62(f65(x3871,x3872),f52(x3873,x3874,x3871,x3872)),x3874) % 0.65/1.02 [388]E(f62(f63(x3881,x3882),f52(x3883,x3884,x3881,x3882)),x3883) % 0.65/1.02 [396]E(f4(f3(x3961,x3962,f68(x3963,a1)),f3(x3961,x3964,f68(x3963,a1)),f68(x3963,a1)),f3(x3961,f4(x3962,x3964,f68(x3963,a1)),f68(x3963,a1))) % 0.65/1.02 [397]E(f46(f3(x3971,x3972,f68(x3973,a1)),f3(x3971,x3974,f68(x3973,a1)),f68(x3973,a1)),f3(x3971,f46(x3972,x3974,f68(x3973,a1)),f68(x3973,a1))) % 0.65/1.02 [398]E(f46(f4(x3981,x3982,f68(x3983,a1)),f4(x3981,x3984,f68(x3983,a1)),f68(x3983,a1)),f4(x3981,f3(x3982,x3984,f68(x3983,a1)),f68(x3983,a1))) % 0.65/1.02 [399]E(f3(f4(x3991,x3992,f68(x3993,a1)),f4(x3991,x3994,f68(x3993,a1)),f68(x3993,a1)),f4(x3991,f46(x3992,x3994,f68(x3993,a1)),f68(x3993,a1))) % 0.65/1.02 [400]E(f3(f46(x4001,x4002,f68(x4003,a1)),f46(x4001,x4004,f68(x4003,a1)),f68(x4003,a1)),f46(x4001,f3(x4002,x4004,f68(x4003,a1)),f68(x4003,a1))) % 0.65/1.02 [401]E(f4(f3(x4011,x4012,f68(x4013,a1)),f3(x4014,x4012,f68(x4013,a1)),f68(x4013,a1)),f3(f4(x4011,x4014,f68(x4013,a1)),x4012,f68(x4013,a1))) % 0.65/1.02 [402]E(f46(f3(x4021,x4022,f68(x4023,a1)),f3(x4024,x4022,f68(x4023,a1)),f68(x4023,a1)),f3(f46(x4021,x4024,f68(x4023,a1)),x4022,f68(x4023,a1))) % 0.65/1.02 [403]E(f46(f4(x4031,x4032,f68(x4033,a1)),f4(x4034,x4032,f68(x4033,a1)),f68(x4033,a1)),f4(f46(x4031,x4034,f68(x4033,a1)),x4032,f68(x4033,a1))) % 0.65/1.02 [404]E(f3(f46(x4041,x4042,f68(x4043,a1)),f46(x4044,x4042,f68(x4043,a1)),f68(x4043,a1)),f46(f3(x4041,x4044,f68(x4043,a1)),x4042,f68(x4043,a1))) % 0.65/1.02 [405]E(f4(f3(x4051,x4052,f68(x4053,a1)),f3(x4054,x4052,f68(x4053,a1)),f68(x4053,a1)),f4(f3(x4051,x4052,f68(x4053,a1)),x4054,f68(x4053,a1))) % 0.65/1.02 [406]E(f4(f4(x4061,x4062,f68(x4063,a1)),f57(x4064,f47(f68(x4063,a1)),x4063),f68(x4063,a1)),f4(x4061,f57(x4064,x4062,x4063),f68(x4063,a1))) % 0.65/1.02 [414]E(f4(f4(x4141,f57(x4142,f47(f68(x4143,a1)),x4143),f68(x4143,a1)),x4144,f68(x4143,a1)),f4(x4141,f57(x4142,x4144,x4143),f68(x4143,a1))) % 0.65/1.02 [415]E(f55(f59(x4151,x4152,x4153,x4154),x4154,x4154),f59(f55(x4151,x4153,x4153),x4152,x4153,x4154)) % 0.65/1.02 [441]E(f46(f46(f3(x4411,x4412,f68(x4413,a1)),f3(x4412,x4414,f68(x4413,a1)),f68(x4413,a1)),f3(x4414,x4411,f68(x4413,a1)),f68(x4413,a1)),f3(f3(f46(x4411,x4412,f68(x4413,a1)),f46(x4412,x4414,f68(x4413,a1)),f68(x4413,a1)),f46(x4414,x4411,f68(x4413,a1)),f68(x4413,a1))) % 0.65/1.02 [450]E(f46(f58(f63(x4501,x4502),f55(x4503,x4502,x4501),f70(x4501,x4502),x4501),f58(f63(x4501,x4502),f55(x4504,x4502,x4501),f70(x4501,x4502),x4501),f68(x4501,a1)),f58(f63(x4501,x4502),f55(f46(x4503,x4504,f68(f70(x4502,x4501),a1)),x4502,x4501),f70(x4501,x4502),x4501)) % 0.65/1.02 [464]P21(f58(f63(x4641,x4642),f55(f3(x4643,x4644,f68(f70(x4642,x4641),a1)),x4642,x4641),f70(x4641,x4642),x4641),f3(f58(f63(x4641,x4642),f55(x4643,x4642,x4641),f70(x4641,x4642),x4641),f58(f63(x4641,x4642),f55(x4644,x4642,x4641),f70(x4641,x4642),x4641),f68(x4641,a1)),f68(x4641,a1)) % 0.65/1.02 [465]P21(f4(f58(f63(x4651,x4652),f55(x4653,x4652,x4651),f70(x4651,x4652),x4651),f58(f63(x4651,x4652),f55(x4654,x4652,x4651),f70(x4651,x4652),x4651),f68(x4651,a1)),f58(f63(x4651,x4652),f55(f4(x4653,x4654,f68(f70(x4652,x4651),a1)),x4652,x4651),f70(x4651,x4652),x4651),f68(x4651,a1)) % 0.65/1.02 [367]E(f57(x3671,f46(x3672,x3673,f68(x3674,a1)),x3674),f46(x3672,f57(x3671,x3673,x3674),f68(x3674,a1))) % 0.65/1.02 [368]E(f57(x3681,f46(x3682,x3683,f68(x3684,a1)),x3684),f46(f57(x3681,x3682,x3684),x3683,f68(x3684,a1))) % 0.65/1.02 [382]E(f3(f57(x3821,x3822,x3823),f57(x3821,x3824,x3823),f68(x3823,a1)),f57(x3821,f3(x3822,x3824,f68(x3823,a1)),x3823)) % 0.65/1.02 [408]E(f3(f55(x4081,x4082,x4083),f55(x4084,x4082,x4083),f68(f70(x4083,x4082),a1)),f55(f3(x4081,x4084,f68(f70(x4082,x4083),a1)),x4082,x4083)) % 0.65/1.02 [409]E(f46(f55(x4091,x4092,x4093),f55(x4094,x4092,x4093),f68(f70(x4093,x4092),a1)),f55(f46(x4091,x4094,f68(f70(x4092,x4093),a1)),x4092,x4093)) % 0.65/1.02 [429]E(f60(x4291,f47(f68(f70(x4292,x4293),a1)),x4294,x4292,x4293),f47(f68(f70(x4294,x4293),a1))) % 0.65/1.02 [430]E(f60(f47(f68(f70(x4301,x4302),a1)),x4303,x4301,x4302,x4304),f47(f68(f70(x4301,x4304),a1))) % 0.65/1.02 [419]E(f58(x4191,f57(x4192,x4193,x4194),x4194,x4195),f57(f62(x4191,x4192),f58(x4191,x4193,x4194,x4195),x4195)) % 0.65/1.02 [461]E(f60(f55(x4611,x4612,x4613),f55(x4614,x4615,x4612),x4613,x4612,x4615),f55(f60(x4614,x4611,x4615,x4612,x4613),x4615,x4613)) % 0.65/1.02 [413]E(f62(f66(x4131,x4132,x4133,x4134),x4135),f62(f62(x4131,f62(f63(x4132,x4133),x4135)),f62(f65(x4132,x4133),x4135))) % 0.65/1.02 [431]E(f46(f56(x4311,x4312,x4313,x4314),f56(x4311,x4315,x4313,x4314),f68(x4314,a1)),f56(x4311,f46(x4312,x4315,f68(x4313,a1)),x4313,x4314)) % 0.65/1.02 [432]E(f46(f58(x4321,x4322,x4323,x4324),f58(x4321,x4325,x4323,x4324),f68(x4324,a1)),f58(x4321,f46(x4322,x4325,f68(x4323,a1)),x4323,x4324)) % 0.65/1.02 [433]E(f3(f51(x4331,x4332,x4333,x4334),f51(x4335,x4332,x4333,x4334),f68(f70(x4333,x4334),a1)),f51(f3(x4331,x4335,f68(x4333,a1)),x4332,x4333,x4334)) % 0.65/1.02 [434]E(f4(f51(x4341,x4342,x4343,x4344),f51(x4345,x4342,x4343,x4344),f68(f70(x4343,x4344),a1)),f51(f4(x4341,x4345,f68(x4343,a1)),x4342,x4343,x4344)) % 0.65/1.02 [435]E(f46(f51(x4351,x4352,x4353,x4354),f51(x4355,x4352,x4353,x4354),f68(f70(x4353,x4354),a1)),f51(f46(x4351,x4355,f68(x4353,a1)),x4352,x4353,x4354)) % 0.65/1.02 [442]E(f58(f63(x4421,x4422),f57(f52(x4423,x4424,x4421,x4422),x4425,f70(x4421,x4422)),f70(x4421,x4422),x4421),f57(x4423,f58(f63(x4421,x4422),x4425,f70(x4421,x4422),x4421),x4421)) % 0.65/1.02 [454]P21(f56(x4541,f3(x4542,x4543,f68(x4544,a1)),x4544,x4545),f3(f56(x4541,x4542,x4544,x4545),f56(x4541,x4543,x4544,x4545),f68(x4545,a1)),f68(x4545,a1)) % 0.65/1.02 [455]P21(f58(x4551,f3(x4552,x4553,f68(x4554,a1)),x4554,x4555),f3(f58(x4551,x4552,x4554,x4555),f58(x4551,x4553,x4554,x4555),f68(x4555,a1)),f68(x4555,a1)) % 0.65/1.02 [456]P21(f4(f58(x4561,x4562,x4563,x4564),f58(x4561,x4565,x4563,x4564),f68(x4564,a1)),f58(x4561,f4(x4562,x4565,f68(x4563,a1)),x4563,x4564),f68(x4564,a1)) % 0.65/1.02 [458]E(f58(f63(x4581,x4582),f55(f57(f52(x4583,x4584,x4582,x4581),x4585,f70(x4582,x4581)),x4582,x4581),f70(x4581,x4582),x4581),f57(x4584,f58(f63(x4581,x4582),f55(x4585,x4582,x4581),f70(x4581,x4582),x4581),x4581)) % 0.65/1.02 [438]E(f46(f56(x4381,x4382,x4383,x4384),f56(x4385,x4382,x4383,x4384),f68(x4384,a1)),f56(f46(x4381,x4385,f68(f70(x4383,x4384),a1)),x4382,x4383,x4384)) % 0.65/1.02 [426]E(f62(f66(x4261,x4262,x4263,x4264),f52(x4265,x4266,x4262,x4263)),f62(f62(x4261,x4265),x4266)) % 0.65/1.02 [467]E(f57(f52(x4671,x4672,x4673,x4674),f46(f51(x4675,f39(f57(x4672,x4676,x4674),f68(x4674,a1),x4673),x4673,x4674),f51(f57(x4671,x4675,x4673),f39(x4676,f68(x4674,a1),x4673),x4673,x4674),f68(f70(x4673,x4674),a1)),f70(x4673,x4674)),f51(f57(x4671,x4675,x4673),f39(f57(x4672,x4676,x4674),f68(x4674,a1),x4673),x4673,x4674)) % 0.65/1.02 [468]E(f46(f60(x4681,x4682,x4683,x4684,x4685),f60(x4681,x4686,x4683,x4684,x4685),f68(f70(x4683,x4685),a1)),f60(x4681,f46(x4682,x4686,f68(f70(x4684,x4685),a1)),x4683,x4684,x4685)) % 0.65/1.02 [469]E(f46(f60(x4691,x4692,x4693,x4694,x4695),f60(x4696,x4692,x4693,x4694,x4695),f68(f70(x4693,x4695),a1)),f60(f46(x4691,x4696,f68(f70(x4693,x4694),a1)),x4692,x4693,x4694,x4695)) % 0.65/1.02 [470]E(f60(f60(x4701,x4702,x4703,x4704,x4705),x4706,x4703,x4705,x4707),f60(x4701,f60(x4702,x4706,x4704,x4705,x4707),x4703,x4704,x4707)) % 0.65/1.02 [482]~P18(x4821,x4822)+P19(x4821,x4822) % 0.65/1.02 [492]~P28(x4922)+P21(x4921,x4921,x4922) % 0.65/1.02 [493]~P30(x4932)+P21(x4931,x4931,x4932) % 0.65/1.02 [483]~P1(x4832)+P1(f68(x4831,x4832)) % 0.65/1.02 [484]~P2(x4842)+P2(f68(x4841,x4842)) % 0.65/1.02 [485]~P24(x4852)+P23(f68(x4851,x4852)) % 0.65/1.02 [486]~P24(x4862)+P24(f68(x4861,x4862)) % 0.65/1.02 [487]~P24(x4872)+P25(f68(x4871,x4872)) % 0.65/1.02 [488]~P3(x4882)+P3(f68(x4881,x4882)) % 0.65/1.02 [489]~P28(x4892)+P28(f68(x4891,x4892)) % 0.65/1.02 [490]~P4(x4902)+P4(f68(x4901,x4902)) % 0.65/1.02 [491]~P30(x4912)+P30(f68(x4911,x4912)) % 0.65/1.02 [494]~P25(x4942)+E(f3(x4941,x4941,x4942),x4941) % 0.65/1.02 [495]~P23(x4952)+E(f46(x4951,x4951,x4952),x4951) % 0.65/1.02 [496]~P5(x4961,x4962)+P5(f54(x4961,x4962),x4962) % 0.65/1.02 [497]~P19(x4971,x4972)+P6(f54(x4971,x4972),x4972) % 0.65/1.02 [498]~P1(x4981)+P21(f47(x4981),x4982,x4981) % 0.65/1.02 [503]~P5(x5031,x5032)+E(f55(x5031,x5032,x5032),x5031) % 0.65/1.02 [509]P5(x5091,x5092)+~E(f55(x5091,x5092,x5092),x5091) % 0.65/1.02 [523]~P19(x5231,x5232)+P19(f55(x5231,x5232,x5232),x5232) % 0.65/1.02 [524]~P5(x5241,x5242)+P5(f55(x5241,x5242,x5242),x5242) % 0.65/1.02 [525]~P15(x5251,x5252)+P15(f55(x5251,x5252,x5252),x5252) % 0.65/1.02 [526]~P6(x5261,x5262)+P6(f55(x5261,x5262,x5262),x5262) % 0.65/1.02 [527]~P18(x5271,x5272)+P20(f44(x5271,x5272,x5272),x5272) % 0.65/1.02 [550]P18(x5501,x5502)+~P22(f6(x5501,x5502),f64(x5501,x5502),x5502) % 0.65/1.02 [551]P18(x5511,x5512)+~P22(f7(x5511,x5512),f64(x5511,x5512),x5512) % 0.65/1.02 [564]P19(x5641,x5642)+~P19(f55(x5641,x5642,x5642),x5642) % 0.65/1.02 [565]P5(x5651,x5652)+~P5(f55(x5651,x5652,x5652),x5652) % 0.65/1.02 [566]P15(x5661,x5662)+~P15(f55(x5661,x5662,x5662),x5662) % 0.65/1.02 [567]P6(x5671,x5672)+~P6(f55(x5671,x5672,x5672),x5672) % 0.65/1.02 [719]E(x7191,x7192)+P22(f52(x7191,x7192,a61,a61),f73(x7191,x7192),f70(a61,a61)) % 0.65/1.02 [894]~P18(x8941,x8942)+P18(f60(x8941,x8941,x8942,x8942,x8942),x8942) % 0.65/1.02 [942]P18(x9421,x9422)+~P18(f60(x9421,x9421,x9422,x9422,x9422),x9422) % 0.65/1.02 [499]~P3(x4992)+E(f46(x4991,f47(x4992),x4992),x4991) % 0.65/1.02 [500]~P3(x5001)+E(f46(f47(x5001),x5002,x5001),x5002) % 0.65/1.02 [501]~P3(x5012)+E(f3(x5011,f47(x5012),x5012),f47(x5012)) % 0.65/1.02 [502]~P3(x5021)+E(f3(f47(x5021),x5022,x5021),f47(x5021)) % 0.65/1.02 [528]E(x5281,x5282)+P22(f73(x5281,x5282),a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [573]~P21(x5731,f47(f68(x5732,a1)),f68(x5732,a1))+E(x5731,f47(f68(x5732,a1))) % 0.65/1.02 [628]~P22(x6281,a5,f68(f70(a61,a61),a1))+P22(f40(x6281,x6282),a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [629]~P22(x6291,a5,f68(f70(a61,a61),a1))+P22(f43(x6291,x6292),a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [735]P13(x7351,x7352)+P22(f52(f15(x7351,x7352),f15(x7351,x7352),x7352,x7352),x7351,f70(x7352,x7352)) % 0.65/1.02 [775]P11(x7751,x7752)+~P22(f52(f50(x7751,x7752),f50(x7751,x7752),x7752,x7752),x7751,f70(x7752,x7752)) % 0.65/1.02 [792]~P15(x7921,x7922)+E(f60(x7921,f54(x7921,x7922),x7922,x7922,x7922),x7921) % 0.65/1.02 [899]~P18(x8991,x8992)+P18(f60(x8991,f54(x8991,x8992),x8992,x8992,x8992),x8992) % 0.65/1.02 [900]~P5(x9001,x9002)+P5(f60(x9001,f54(x9001,x9002),x9002,x9002,x9002),x9002) % 0.65/1.02 [905]~P15(x9051,x9052)+P21(f60(x9051,x9051,x9052,x9052,x9052),x9051,f68(f70(x9052,x9052),a1)) % 0.65/1.02 [922]P7(f58(f63(x9221,x9221),x9222,f70(x9221,x9221),x9221),x9222,x9221)+~E(f60(f55(x9222,x9221,x9221),x9222,x9221,x9221,x9221),x9222) % 0.65/1.02 [762]~P15(x7621,x7622)+P15(f46(x7621,f54(f47(f68(f70(x7622,x7622),a1)),x7622),f68(f70(x7622,x7622),a1)),x7622) % 0.65/1.02 [763]~P6(x7631,x7632)+P6(f46(x7631,f54(f47(f68(f70(x7632,x7632),a1)),x7632),f68(f70(x7632,x7632),a1)),x7632) % 0.65/1.02 [824]P6(x8241,x8242)+~P6(f46(x8241,f54(f47(f68(f70(x8242,x8242),a1)),x8242),f68(f70(x8242,x8242),a1)),x8242) % 0.65/1.02 [879]P18(x8791,x8792)+~E(f60(x8791,x8791,x8792,x8792,x8792),f47(f68(f70(x8792,x8792),a1))) % 0.65/1.02 [955]~P18(f55(x9551,x9552,x9552),x9552)+P18(f55(f60(x9551,f54(x9551,x9552),x9552,x9552,x9552),x9552,x9552),x9552) % 0.65/1.02 [761]E(f52(f9(x7611,x7612),f9(x7611,x7612),x7612,x7612),x7611)+~P22(x7611,f54(f47(f68(f70(x7612,x7612),a1)),x7612),f70(x7612,x7612)) % 0.65/1.02 [504]E(x5041,x5042)+~P17(x5041,x5042,x5043) % 0.65/1.02 [505]P5(x5051,x5052)+~P7(x5053,x5051,x5052) % 0.65/1.02 [506]P15(x5061,x5062)+~P7(x5063,x5061,x5062) % 0.65/1.02 [507]P15(x5071,x5072)+~P10(x5073,x5071,x5072) % 0.65/1.02 [508]P13(x5081,x5082)+~P10(x5083,x5081,x5082) % 0.65/1.02 [520]~P7(x5201,x5202,x5203)+P12(x5201,x5202,x5203) % 0.65/1.02 [521]~P10(x5211,x5212,x5213)+P16(x5211,x5212,x5213) % 0.65/1.02 [510]P22(x5101,x5102,x5103)+~P31(f62(x5102,x5101)) % 0.65/1.02 [511]~P18(x5112,x5113)+P22(x5111,f64(x5112,x5113),x5113) % 0.65/1.02 [514]~P24(x5143)+E(f3(x5141,x5142,x5143),f3(x5142,x5141,x5143)) % 0.65/1.02 [515]~P25(x5153)+E(f3(x5151,x5152,x5153),f3(x5152,x5151,x5153)) % 0.65/1.02 [516]~P23(x5163)+E(f46(x5161,x5162,x5163),f46(x5162,x5161,x5163)) % 0.65/1.02 [517]~P24(x5173)+E(f46(x5171,x5172,x5173),f46(x5172,x5171,x5173)) % 0.65/1.02 [518]~P22(x5182,x5181,x5183)+P31(f62(x5181,x5182)) % 0.65/1.02 [522]~P22(x5221,x5222,x5223)+E(f57(x5221,x5222,x5223),x5222) % 0.65/1.02 [535]~P23(x5353)+P21(x5351,f46(x5352,x5351,x5353),x5353) % 0.65/1.02 [536]~P24(x5363)+P21(x5361,f46(x5362,x5361,x5363),x5363) % 0.65/1.02 [537]~P23(x5373)+P21(x5371,f46(x5371,x5372,x5373),x5373) % 0.65/1.02 [538]~P24(x5383)+P21(x5381,f46(x5381,x5382,x5383),x5383) % 0.65/1.02 [539]~P24(x5393)+P21(f3(x5391,x5392,x5393),x5392,x5393) % 0.65/1.02 [540]~P25(x5403)+P21(f3(x5401,x5402,x5403),x5402,x5403) % 0.65/1.02 [541]~P24(x5413)+P21(f3(x5411,x5412,x5413),x5411,x5413) % 0.65/1.02 [542]~P25(x5423)+P21(f3(x5421,x5422,x5423),x5421,x5423) % 0.65/1.02 [574]~P22(x5741,x5742,f70(x5743,x5743))+P22(x5741,f54(x5742,x5743),f70(x5743,x5743)) % 0.65/1.02 [586]~P12(x5861,x5862,x5863)+P12(x5861,f55(x5862,x5863,x5863),x5863) % 0.65/1.02 [587]~P16(x5871,x5872,x5873)+P16(x5871,f55(x5872,x5873,x5873),x5873) % 0.65/1.02 [609]P12(x6091,x6092,x6093)+~P12(x6091,f55(x6092,x6093,x6093),x6093) % 0.65/1.02 [610]P16(x6101,x6102,x6103)+~P16(x6101,f55(x6102,x6103,x6103),x6103) % 0.65/1.02 [630]~P22(x6302,f2(x6301,x6303),f70(x6303,x6303))+P22(f8(x6301,x6302,x6303),x6301,x6303) % 0.65/1.02 [659]~P22(f34(x6592,x6591,x6593),f64(x6592,x6593),x6593)+P22(x6591,f64(x6592,x6593),x6593) % 0.65/1.02 [660]~P22(f14(x6602,x6601,x6603),f64(x6602,x6603),x6603)+P22(x6601,f64(x6602,x6603),x6603) % 0.65/1.02 [717]E(x7171,x7172)+P22(f52(x7171,x7172,a61,a61),f40(x7173,x7171),f70(a61,a61)) % 0.65/1.02 [718]E(x7181,x7182)+P22(f52(x7181,x7182,a61,a61),f43(x7183,x7182),f70(a61,a61)) % 0.65/1.02 [723]~P11(x7233,x7232)+P22(f52(x7231,x7231,x7232,x7232),x7233,f70(x7232,x7232)) % 0.65/1.02 [734]~P22(x7341,x7343,x7342)+P22(f52(x7341,x7341,x7342,x7342),f2(x7343,x7342),f70(x7342,x7342)) % 0.65/1.02 [757]~P18(x7571,x7572)+~P22(f52(x7573,x7573,x7572,x7572),x7571,f70(x7572,x7572)) % 0.65/1.02 [758]~P13(x7581,x7582)+~P22(f52(x7583,x7583,x7582,x7582),x7581,f70(x7582,x7582)) % 0.65/1.02 [543]~P24(x5433)+E(f3(x5431,f46(x5431,x5432,x5433),x5433),x5431) % 0.65/1.02 [544]~P24(x5443)+E(f46(x5441,f3(x5441,x5442,x5443),x5443),x5441) % 0.65/1.02 [554]E(x5541,f47(f68(x5542,a1)))+~E(f46(x5543,x5541,f68(x5542,a1)),f47(f68(x5542,a1))) % 0.65/1.02 [555]E(x5551,f47(f68(x5552,a1)))+~E(f46(x5551,x5553,f68(x5552,a1)),f47(f68(x5552,a1))) % 0.65/1.02 [559]~P21(x5592,x5591,f68(x5593,a1))+E(f3(x5591,x5592,f68(x5593,a1)),x5592) % 0.65/1.02 [560]~P21(x5601,x5602,f68(x5603,a1))+E(f3(x5601,x5602,f68(x5603,a1)),x5601) % 0.65/1.02 [561]~P21(x5611,x5612,f68(x5613,a1))+E(f46(x5611,x5612,f68(x5613,a1)),x5612) % 0.65/1.02 [562]~P21(x5622,x5621,f68(x5623,a1))+E(f46(x5621,x5622,f68(x5623,a1)),x5621) % 0.65/1.02 [563]P21(x5631,x5632,f68(x5633,a1))+~E(f46(x5631,x5632,f68(x5633,a1)),x5632) % 0.65/1.02 [569]~P24(x5693)+E(f3(x5691,f3(x5691,x5692,x5693),x5693),f3(x5691,x5692,x5693)) % 0.65/1.02 [570]~P25(x5703)+E(f3(x5701,f3(x5701,x5702,x5703),x5703),f3(x5701,x5702,x5703)) % 0.65/1.02 [571]~P23(x5713)+E(f46(x5711,f46(x5711,x5712,x5713),x5713),f46(x5711,x5712,x5713)) % 0.65/1.02 [572]~P24(x5723)+E(f46(x5721,f46(x5721,x5722,x5723),x5723),f46(x5721,x5722,x5723)) % 0.65/1.02 [581]E(f4(x5811,x5812,f68(x5813,a1)),x5811)+~E(f3(x5811,x5812,f68(x5813,a1)),f47(f68(x5813,a1))) % 0.65/1.02 [639]P21(f64(x6391,x6392),f64(x6393,x6392),f68(x6392,a1))+~P21(x6393,x6391,f68(f70(x6392,x6392),a1)) % 0.65/1.02 [655]~P21(x6551,x6552,f68(x6553,a1))+E(f46(x6551,f4(x6552,x6551,f68(x6553,a1)),f68(x6553,a1)),x6552) % 0.65/1.02 [668]~P21(x6681,x6683,f68(f70(x6682,x6682),a1))+P21(f54(x6681,x6682),f54(x6683,x6682),f68(f70(x6682,x6682),a1)) % 0.65/1.02 [678]~P21(x6781,f54(x6783,x6782),f68(f70(x6782,x6782),a1))+P21(f54(x6781,x6782),f54(x6783,x6782),f68(f70(x6782,x6782),a1)) % 0.65/1.02 [694]P22(x6941,x6942,x6943)+E(f4(f57(x6941,x6942,x6943),f57(x6941,f47(f68(x6943,a1)),x6943),f68(x6943,a1)),x6942) % 0.65/1.02 [727]~P22(x7272,f2(x7271,x7273),f70(x7273,x7273))+E(f52(f8(x7271,x7272,x7273),f8(x7271,x7272,x7273),x7273,x7273),x7272) % 0.65/1.02 [752]P22(x7521,f64(x7522,x7523),x7523)+P22(f52(f34(x7522,x7521,x7523),x7521,x7523,x7523),x7522,f70(x7523,x7523)) % 0.65/1.02 [753]P22(x7531,f64(x7532,x7533),x7533)+P22(f52(f14(x7532,x7531,x7533),x7531,x7533,x7533),x7532,f70(x7533,x7533)) % 0.65/1.02 [807]~P7(x8073,x8071,x8072)+E(f60(f55(x8071,x8072,x8072),x8071,x8072,x8072,x8072),x8071) % 0.65/1.02 [920]~P22(x9201,x9202,f70(x9203,x9203))+P22(x9201,f60(x9202,f54(x9202,x9203),x9203,x9203,x9203),f70(x9203,x9203)) % 0.65/1.02 [926]~P12(x9263,x9261,x9262)+P21(x9261,f60(f55(x9261,x9262,x9262),x9261,x9262,x9262,x9262),f68(f70(x9262,x9262),a1)) % 0.65/1.02 [946]~P22(f52(x9463,x9463,x9462,x9462),x9461,f70(x9462,x9462))+P22(f52(f26(x9461,x9462),f26(x9461,x9462),x9462,x9462),f60(x9461,f54(x9461,x9462),x9462,x9462,x9462),f70(x9462,x9462)) % 0.65/1.02 [950]~P19(x9501,x9502)+~P22(f52(x9503,x9503,x9502,x9502),f60(x9501,f54(x9501,x9502),x9502,x9502,x9502),f70(x9502,x9502)) % 0.65/1.02 [604]~P18(x6042,x6043)+P18(f3(x6041,x6042,f68(f70(x6043,x6043),a1)),x6043) % 0.65/1.02 [605]~P18(x6051,x6053)+P18(f3(x6051,x6052,f68(f70(x6053,x6053),a1)),x6053) % 0.65/1.02 [640]E(x6401,x6402)+~E(f57(x6401,f47(f68(x6403,a1)),x6403),f57(x6402,f47(f68(x6403,a1)),x6403)) % 0.65/1.02 [675]E(x6751,x6752)+~P22(x6751,f57(x6752,f47(f68(x6753,a1)),x6753),x6753) % 0.65/1.02 [736]~P22(x7361,x7362,x7363)+E(f57(x7361,f4(x7362,f57(x7361,f47(f68(x7363,a1)),x7363),f68(x7363,a1)),x7363),x7362) % 0.65/1.02 [739]~E(f58(f63(x7393,x7392),f55(x7391,x7392,x7393),f70(x7393,x7392),x7393),f47(f68(x7393,a1)))+E(x7391,f47(f68(f70(x7392,x7393),a1))) % 0.65/1.02 [766]~P12(x7662,x7661,x7663)+P21(x7661,f51(x7662,f39(x7662,f68(x7663,a1),x7663),x7663,x7663),f68(f70(x7663,x7663),a1)) % 0.65/1.02 [767]~P7(x7672,x7671,x7673)+P21(x7671,f51(x7672,f39(x7672,f68(x7673,a1),x7673),x7673,x7673),f68(f70(x7673,x7673),a1)) % 0.65/1.02 [774]~P16(x7741,x7742,x7743)+P16(x7741,f4(x7742,f54(f47(f68(f70(x7743,x7743),a1)),x7743),f68(f70(x7743,x7743),a1)),x7743) % 0.65/1.02 [832]P16(x8321,x8322,x8323)+~P16(x8321,f4(x8322,f54(f47(f68(f70(x8323,x8323),a1)),x8323),f68(f70(x8323,x8323),a1)),x8323) % 0.65/1.02 [952]~P21(x9521,f51(x9523,f39(x9523,f68(x9522,a1),x9522),x9522,x9522),f68(f70(x9522,x9522),a1))+P21(f60(x9521,f54(x9521,x9522),x9522,x9522,x9522),f51(x9523,f39(x9523,f68(x9522,a1),x9522),x9522,x9522),f68(f70(x9522,x9522),a1)) % 0.65/1.02 [956]~P22(f52(x9563,x9563,x9562,x9562),f60(x9561,f54(x9561,x9562),x9562,x9562,x9562),f70(x9562,x9562))+~E(f3(f55(x9561,x9562,x9562),f54(x9561,x9562),f68(f70(x9562,x9562),a1)),f47(f68(f70(x9562,x9562),a1))) % 0.65/1.02 [989]~P18(f46(x9891,x9893,f68(f70(x9892,x9892),a1)),x9892)+P18(f46(f46(f60(x9891,x9891,x9892,x9892,x9892),f60(x9893,x9891,x9892,x9892,x9892),f68(f70(x9892,x9892),a1)),x9893,f68(f70(x9892,x9892),a1)),x9892) % 0.65/1.02 [992]~P18(f46(f46(f60(x9921,x9921,x9923,x9923,x9923),f60(x9922,x9921,x9923,x9923,x9923),f68(f70(x9923,x9923),a1)),x9922,f68(f70(x9923,x9923),a1)),x9923)+P18(f46(x9921,x9922,f68(f70(x9923,x9923),a1)),x9923) % 0.65/1.02 [814]E(x8141,x8142)+~P22(f52(x8141,x8142,x8143,x8143),f54(f47(f68(f70(x8143,x8143),a1)),x8143),f70(x8143,x8143)) % 0.65/1.02 [585]~P22(x5851,x5853,x5854)+P22(x5851,f57(x5852,x5853,x5854),x5854) % 0.65/1.02 [608]~P21(x6081,x6083,f68(x6084,a1))+P21(x6081,f57(x6082,x6083,x6084),f68(x6084,a1)) % 0.65/1.02 [648]P22(x6481,x6482,x6483)+~P21(f57(x6481,x6484,x6483),x6482,f68(x6483,a1)) % 0.65/1.02 [658]~P21(f57(x6584,x6581,x6583),x6582,f68(x6583,a1))+P21(x6581,x6582,f68(x6583,a1)) % 0.65/1.02 [673]~P21(x6732,x6734,f68(x6733,a1))+P21(f57(x6731,x6732,x6733),f57(x6731,x6734,x6733),f68(x6733,a1)) % 0.65/1.02 [706]~P18(x7061,x7063)+P18(f59(x7061,x7062,x7063,x7064),x7064) % 0.65/1.02 [707]~P5(x7071,x7073)+P5(f59(x7071,x7072,x7073,x7074),x7074) % 0.65/1.02 [708]~P15(x7081,x7083)+P15(f59(x7081,x7082,x7083,x7084),x7084) % 0.65/1.02 [759]E(x7591,x7592)+~P22(f52(x7591,x7592,x7593,x7593),f2(x7594,x7593),f70(x7593,x7593)) % 0.65/1.02 [765]P22(x7651,x7652,x7653)+~P22(f52(x7651,x7654,x7653,x7653),f2(x7652,x7653),f70(x7653,x7653)) % 0.65/1.02 [603]~P31(f62(x6032,x6034))+P31(f62(f57(x6031,x6032,x6033),x6034)) % 0.65/1.02 [606]~P22(x6061,x6063,x6064)+P22(x6061,f46(x6062,x6063,f68(x6064,a1)),x6064) % 0.65/1.02 [607]~P22(x6071,x6072,x6074)+P22(x6071,f46(x6072,x6073,f68(x6074,a1)),x6074) % 0.65/1.02 [623]P22(x6232,x6231,x6234)+E(f3(x6231,f57(x6232,x6233,x6234),f68(x6234,a1)),f3(x6231,x6233,f68(x6234,a1))) % 0.65/1.02 [624]P22(x6241,x6244,x6243)+E(f3(f57(x6241,x6242,x6243),x6244,f68(x6243,a1)),f3(x6242,x6244,f68(x6243,a1))) % 0.65/1.02 [631]~P24(x6314)+E(f3(x6311,f3(x6312,x6313,x6314),x6314),f3(x6312,f3(x6311,x6313,x6314),x6314)) % 0.65/1.02 [632]~P25(x6324)+E(f3(x6321,f3(x6322,x6323,x6324),x6324),f3(x6322,f3(x6321,x6323,x6324),x6324)) % 0.65/1.02 [633]~P23(x6334)+E(f46(x6331,f46(x6332,x6333,x6334),x6334),f46(x6332,f46(x6331,x6333,x6334),x6334)) % 0.65/1.02 [634]~P24(x6344)+E(f46(x6341,f46(x6342,x6343,x6344),x6344),f46(x6342,f46(x6341,x6343,x6344),x6344)) % 0.65/1.02 [635]~P24(x6353)+E(f3(f3(x6351,x6352,x6353),x6354,x6353),f3(x6351,f3(x6352,x6354,x6353),x6353)) % 0.65/1.02 [636]~P25(x6363)+E(f3(f3(x6361,x6362,x6363),x6364,x6363),f3(x6361,f3(x6362,x6364,x6363),x6363)) % 0.65/1.02 [637]~P23(x6373)+E(f46(f46(x6371,x6372,x6373),x6374,x6373),f46(x6371,f46(x6372,x6374,x6373),x6373)) % 0.65/1.02 [638]~P24(x6383)+E(f46(f46(x6381,x6382,x6383),x6384,x6383),f46(x6381,f46(x6382,x6384,x6383),x6383)) % 0.65/1.02 [652]~P22(x6521,x6524,x6523)+E(f4(f57(x6521,x6522,x6523),x6524,f68(x6523,a1)),f4(x6522,x6524,f68(x6523,a1))) % 0.65/1.02 [663]P22(x6631,x6632,x6633)+~P22(x6631,f3(x6634,x6632,f68(x6633,a1)),x6633) % 0.65/1.02 [664]P22(x6641,x6642,x6643)+~P22(x6641,f3(x6642,x6644,f68(x6643,a1)),x6643) % 0.65/1.02 [665]P22(x6651,x6652,x6653)+~P22(x6651,f4(x6652,x6654,f68(x6653,a1)),x6653) % 0.65/1.02 [672]~P22(x6721,x6722,x6723)+~P22(x6721,f4(x6724,x6722,f68(x6723,a1)),x6723) % 0.65/1.02 [681]~P2(x6813)+E(f46(f3(x6811,x6812,x6813),f3(x6811,x6814,x6813),x6813),f3(x6811,f46(x6812,x6814,x6813),x6813)) % 0.65/1.02 [682]~P2(x6823)+E(f3(f46(x6821,x6822,x6823),f46(x6821,x6824,x6823),x6823),f46(x6821,f3(x6822,x6824,x6823),x6823)) % 0.65/1.02 [683]~P2(x6833)+E(f46(f3(x6831,x6832,x6833),f3(x6834,x6832,x6833),x6833),f3(f46(x6831,x6834,x6833),x6832,x6833)) % 0.65/1.02 [684]~P2(x6843)+E(f3(f46(x6841,x6842,x6843),f46(x6844,x6842,x6843),x6843),f46(f3(x6841,x6844,x6843),x6842,x6843)) % 0.65/1.02 [689]P21(x6891,x6892,f68(x6893,a1))+~P21(x6891,f3(x6894,x6892,f68(x6893,a1)),f68(x6893,a1)) % 0.65/1.02 [690]P21(x6901,x6902,f68(x6903,a1))+~P21(x6901,f3(x6902,x6904,f68(x6903,a1)),f68(x6903,a1)) % 0.65/1.02 [691]P21(x6911,x6912,f68(x6913,a1))+~P21(f46(x6914,x6911,f68(x6913,a1)),x6912,f68(x6913,a1)) % 0.65/1.02 [692]P21(x6921,x6922,f68(x6923,a1))+~P21(f46(x6921,x6924,f68(x6923,a1)),x6922,f68(x6923,a1)) % 0.65/1.02 [696]~E(f58(x6963,x6961,x6962,x6964),f47(f68(x6964,a1)))+E(x6961,f47(f68(x6962,a1))) % 0.65/1.02 [714]~P21(x7144,x7141,f68(x7143,a1))+E(f46(f3(x7141,x7142,f68(x7143,a1)),x7144,f68(x7143,a1)),f3(x7141,f46(x7142,x7144,f68(x7143,a1)),f68(x7143,a1))) % 0.65/1.02 [720]~P21(f4(x7201,x7202,f68(x7204,a1)),x7203,f68(x7204,a1))+P21(x7201,f46(x7202,x7203,f68(x7204,a1)),f68(x7204,a1)) % 0.65/1.02 [721]~P21(x7211,f46(x7212,x7214,f68(x7213,a1)),f68(x7213,a1))+P21(f4(x7211,x7212,f68(x7213,a1)),x7214,f68(x7213,a1)) % 0.65/1.02 [745]P21(x7451,x7452,f68(x7453,a1))+~E(f46(f3(x7452,x7454,f68(x7453,a1)),x7451,f68(x7453,a1)),f3(x7452,f46(x7454,x7451,f68(x7453,a1)),f68(x7453,a1))) % 0.65/1.02 [755]~P24(x7554)+P21(f46(x7551,f3(x7552,x7553,x7554),x7554),f3(f46(x7551,x7552,x7554),f46(x7551,x7553,x7554),x7554),x7554) % 0.65/1.02 [756]~P24(x7563)+P21(f46(f3(x7561,x7562,x7563),f3(x7561,x7564,x7563),x7563),f3(x7561,f46(x7562,x7564,x7563),x7563),x7563) % 0.65/1.02 [853]~P22(f52(x8532,x8531,x8533,x8533),f54(x8534,x8533),f70(x8533,x8533))+P22(f52(x8531,x8532,x8533,x8533),f54(f55(x8534,x8533,x8533),x8533),f70(x8533,x8533)) % 0.65/1.02 [868]P18(x8681,x8682)+~P18(f57(f52(x8683,x8684,x8682,x8682),x8681,f70(x8682,x8682)),x8682) % 0.65/1.02 [869]P19(x8691,x8692)+~P19(f57(f52(x8693,x8694,x8692,x8692),x8691,f70(x8692,x8692)),x8692) % 0.65/1.02 [871]P22(f52(x8711,x8712,x8713,x8713),f54(x8714,x8713),f70(x8713,x8713))+~P22(f52(x8712,x8711,x8713,x8713),f54(f55(x8714,x8713,x8713),x8713),f70(x8713,x8713)) % 0.65/1.02 [907]~P22(x9071,f58(f63(x9073,x9074),x9072,f70(x9073,x9074),x9073),x9073)+P22(f52(x9071,f10(x9071,x9072,x9073,x9074),x9073,x9074),x9072,f70(x9073,x9074)) % 0.65/1.02 [908]~P22(x9081,f58(f63(x9083,x9084),x9082,f70(x9083,x9084),x9083),x9083)+P22(f52(x9081,f12(x9081,x9082,x9083,x9084),x9083,x9084),x9082,f70(x9083,x9084)) % 0.65/1.02 [923]~P22(f52(x9232,x9231,x9233,x9233),f54(x9234,x9233),f70(x9233,x9233))+~P18(f57(f52(x9231,x9232,x9233,x9233),x9234,f70(x9233,x9233)),x9233) % 0.65/1.02 [924]~P22(f52(x9242,x9241,x9243,x9243),f54(x9244,x9243),f70(x9243,x9243))+~P19(f57(f52(x9241,x9242,x9243,x9243),x9244,f70(x9243,x9243)),x9243) % 0.65/1.02 [929]~P22(x9291,f58(f63(x9293,x9294),f55(x9292,x9294,x9293),f70(x9293,x9294),x9293),x9293)+P22(f52(f16(x9291,x9292,x9293,x9294),x9291,x9294,x9293),x9292,f70(x9294,x9293)) % 0.65/1.02 [930]~P22(x9301,f58(f63(x9303,x9304),f55(x9302,x9304,x9303),f70(x9303,x9304),x9303),x9303)+P22(f52(f19(x9301,x9302,x9303,x9304),x9301,x9304,x9303),x9302,f70(x9304,x9303)) % 0.65/1.02 [958]P22(f52(x9581,x9582,x9583,x9583),f54(x9584,x9583),f70(x9583,x9583))+~P22(f52(x9581,x9582,x9583,x9583),f60(x9584,f54(x9584,x9583),x9583,x9583,x9583),f70(x9583,x9583)) % 0.65/1.02 [967]~P22(f52(x9671,x9673,x9674,x9674),f60(x9672,f54(x9672,x9674),x9674,x9674,x9674),f70(x9674,x9674))+P22(f52(x9671,f29(x9672,x9671,x9673,x9674),x9674,x9674),x9672,f70(x9674,x9674)) % 0.65/1.02 [968]~P22(f52(x9682,x9683,x9684,x9684),f60(x9681,f54(x9681,x9684),x9684,x9684,x9684),f70(x9684,x9684))+P22(f52(f30(x9681,x9682,x9683,x9684),x9683,x9684,x9684),x9681,f70(x9684,x9684)) % 0.65/1.02 [969]~P22(f52(x9691,x9693,x9694,x9694),f60(x9692,f54(x9692,x9694),x9694,x9694,x9694),f70(x9694,x9694))+P22(f52(x9691,f30(x9692,x9691,x9693,x9694),x9694,x9694),f54(x9692,x9694),f70(x9694,x9694)) % 0.65/1.02 [970]~P22(f52(x9702,x9703,x9704,x9704),f60(x9701,f54(x9701,x9704),x9704,x9704,x9704),f70(x9704,x9704))+P22(f52(f29(x9701,x9702,x9703,x9704),x9703,x9704,x9704),f54(x9701,x9704),f70(x9704,x9704)) % 0.65/1.02 [666]~P31(f62(x6662,x6664))+P31(f62(f46(x6661,x6662,f68(x6663,a1)),x6664)) % 0.65/1.02 [667]~P31(f62(x6671,x6674))+P31(f62(f46(x6671,x6672,f68(x6673,a1)),x6674)) % 0.65/1.02 [693]P22(x6931,x6934,x6933)+E(f4(f57(x6931,x6932,x6933),x6934,f68(x6933,a1)),f57(x6931,f4(x6932,x6934,f68(x6933,a1)),x6933)) % 0.65/1.02 [703]~P22(x7031,x7032,x7034)+E(f57(x7031,f3(x7032,x7033,f68(x7034,a1)),x7034),f3(x7032,f57(x7031,x7033,x7034),f68(x7034,a1))) % 0.65/1.02 [704]~P22(x7041,x7043,x7044)+E(f57(x7041,f3(x7042,x7043,f68(x7044,a1)),x7044),f3(f57(x7041,x7042,x7044),x7043,f68(x7044,a1))) % 0.65/1.02 [705]E(x7051,f47(f68(x7052,a1)))+E(f58(f39(x7053,x7054,x7052),x7051,x7052,x7054),f57(x7053,f47(f68(x7054,a1)),x7054)) % 0.65/1.02 [712]P31(f62(x7121,x7122))+~P31(f62(f3(x7123,x7121,f68(x7124,a1)),x7122)) % 0.65/1.02 [713]P31(f62(x7131,x7132))+~P31(f62(f3(x7131,x7133,f68(x7134,a1)),x7132)) % 0.65/1.02 [986]~P22(f52(x9861,x9862,x9863,x9863),f60(f55(x9864,x9863,x9863),f54(f55(x9864,x9863,x9863),x9863),x9863,x9863,x9863),f70(x9863,x9863))+P22(f52(x9861,x9862,x9863,x9863),f55(f60(x9864,f54(x9864,x9863),x9863,x9863,x9863),x9863,x9863),f70(x9863,x9863)) % 0.65/1.02 [987]~P22(f52(x9871,x9872,x9873,x9873),f55(f60(x9874,f54(x9874,x9873),x9873,x9873,x9873),x9873,x9873),f70(x9873,x9873))+P22(f52(x9871,x9872,x9873,x9873),f60(f55(x9874,x9873,x9873),f54(f55(x9874,x9873,x9873),x9873),x9873,x9873,x9873),f70(x9873,x9873)) % 0.65/1.02 [743]~P22(x7431,f54(x7433,x7434),f70(x7434,x7434))+P22(x7431,f54(f46(x7432,x7433,f68(f70(x7434,x7434),a1)),x7434),f70(x7434,x7434)) % 0.65/1.02 [744]~P22(x7441,f54(x7442,x7444),f70(x7444,x7444))+P22(x7441,f54(f46(x7442,x7443,f68(f70(x7444,x7444),a1)),x7444),f70(x7444,x7444)) % 0.65/1.02 [784]~P22(x7842,x7844,x7843)+P22(f56(x7841,f57(x7842,f47(f68(x7843,a1)),x7843),x7843,x7843),f45(x7844,x7841,x7843),f68(x7843,a1)) % 0.65/1.02 [733]~P22(x7332,x7333,x7334)+P22(f62(x7331,x7332),f58(x7331,x7333,x7334,x7335),x7335) % 0.65/1.02 [786]~P21(x7862,x7865,f68(x7863,a1))+P21(f58(x7861,x7862,x7863,x7864),f58(x7861,x7865,x7863,x7864),f68(x7864,a1)) % 0.65/1.02 [830]~P22(f52(x8302,x8301,x8304,x8303),x8305,f70(x8304,x8303))+P22(f52(x8301,x8302,x8303,x8304),f55(x8305,x8304,x8303),f70(x8303,x8304)) % 0.65/1.02 [833]~P22(f52(x8332,x8331,x8334,x8333),f55(x8335,x8333,x8334),f70(x8334,x8333))+P22(f52(x8331,x8332,x8333,x8334),x8335,f70(x8333,x8334)) % 0.65/1.02 [932]~P22(x9322,f56(x9323,x9321,x9324,x9325),x9325)+P22(f17(x9321,x9322,x9323,x9324,x9325),x9321,x9324) % 0.65/1.02 [933]~P22(x9332,f56(x9333,x9331,x9334,x9335),x9335)+P22(f18(x9331,x9332,x9333,x9334,x9335),x9331,x9334) % 0.65/1.02 [936]~P22(x9363,f51(x9361,x9362,x9364,x9365),f70(x9364,x9365))+P22(f11(x9361,x9362,x9363,x9364,x9365),x9361,x9364) % 0.65/1.02 [754]~P22(x7542,x7543,x7544)+E(f57(f62(x7541,x7542),f58(x7541,x7543,x7544,x7545),x7545),f58(x7541,x7543,x7544,x7545)) % 0.65/1.02 [828]~P22(f52(x8281,x8285,x8282,x8283),x8284,f70(x8282,x8283))+P22(x8281,f58(f63(x8282,x8283),x8284,f70(x8282,x8283),x8282),x8282) % 0.65/1.02 [856]~P22(f52(x8565,x8561,x8563,x8562),x8564,f70(x8563,x8562))+P22(x8561,f58(f63(x8562,x8563),f55(x8564,x8563,x8562),f70(x8562,x8563),x8562),x8562) % 0.65/1.02 [964]~P22(x9642,f56(x9643,x9641,x9644,x9645),x9645)+P22(f52(f17(x9641,x9642,x9643,x9644,x9645),x9642,x9644,x9645),x9643,f70(x9644,x9645)) % 0.65/1.02 [965]~P22(x9652,f56(x9653,x9651,x9654,x9655),x9655)+P22(f52(f18(x9651,x9652,x9653,x9654,x9655),x9652,x9654,x9655),x9653,f70(x9654,x9655)) % 0.65/1.02 [711]~P22(x7115,x7114,x7113)+E(f58(f39(x7111,x7112,x7113),x7114,x7113,x7112),f57(x7111,f47(f68(x7112,a1)),x7112)) % 0.65/1.02 [805]P22(f52(x8051,x8052,x8053,x8054),x8055,f70(x8053,x8054))+~P31(f62(f62(f44(x8055,x8053,x8054),x8051),x8052)) % 0.65/1.02 [809]~P22(f52(x8094,x8095,x8092,x8093),x8091,f70(x8092,x8093))+P31(f62(f62(f44(x8091,x8092,x8093),x8094),x8095)) % 0.65/1.02 [837]~P14(f55(x8371,x8373,x8374),x8374,x8373)+E(f3(f56(x8371,x8372,x8373,x8374),f56(x8371,x8375,x8373,x8374),f68(x8374,a1)),f56(x8371,f3(x8372,x8375,f68(x8373,a1)),x8373,x8374)) % 0.65/1.02 [971]~P31(f62(f62(x9711,x9715),x9714))+P31(f62(f62(x9711,f62(f65(x9712,x9713),f52(x9714,x9715,x9712,x9713))),f62(f63(x9712,x9713),f52(x9714,x9715,x9712,x9713)))) % 0.65/1.02 [870]~P22(f52(x8703,x8701,x8704,x8705),x8702,f70(x8704,x8705))+P22(x8701,f56(x8702,f57(x8703,f47(f68(x8704,a1)),x8704),x8704,x8705),x8705) % 0.65/1.02 [883]P22(f52(x8831,x8832,x8833,x8834),x8835,f70(x8833,x8834))+~P22(x8832,f56(x8835,f57(x8831,f47(f68(x8833,a1)),x8833),x8833,x8834),x8834) % 0.65/1.02 [741]E(x7411,x7412)+~E(f52(x7413,x7411,x7414,x7415),f52(x7416,x7412,x7414,x7415)) % 0.65/1.02 [742]E(x7421,x7422)+~E(f52(x7421,x7423,x7424,x7425),f52(x7422,x7426,x7424,x7425)) % 0.65/1.02 [839]P22(x8391,x8392,x8393)+~P22(f52(x8391,x8394,x8393,x8395),f51(x8392,x8396,x8393,x8395),f70(x8393,x8395)) % 0.65/1.02 [854]~P22(f52(x8543,x8541,x8545,x8544),f51(x8546,x8542,x8545,x8544),f70(x8545,x8544))+P22(x8541,f62(x8542,x8543),x8544) % 0.65/1.02 [884]P22(f52(x8841,x8842,x8843,x8843),f59(x8844,x8845,x8846,x8843),f70(x8843,x8843))+~P22(f52(f62(x8845,x8841),f62(x8845,x8842),x8846,x8846),x8844,f70(x8846,x8846)) % 0.65/1.02 [891]~P22(f52(x8912,x8913,x8916,x8916),f59(x8915,x8911,x8914,x8916),f70(x8916,x8916))+P22(f52(f62(x8911,x8912),f62(x8911,x8913),x8914,x8914),x8915,f70(x8914,x8914)) % 0.65/1.02 [935]~P22(f52(x9356,x9353,x9354,x9354),x9352,f70(x9354,x9354))+E(f62(f53(x9351,x9352,x9353,x9354,x9355),x9356),f62(x9351,x9356)) % 0.65/1.02 [991]E(f53(x9911,x9912,x9913,x9914,x9915),f53(x9916,x9912,x9913,x9914,x9915))+P22(f52(f49(x9911,x9916,x9912,x9913,x9914,x9915),x9913,x9914,x9914),x9912,f70(x9914,x9914)) % 0.65/1.02 [993]E(f53(x9931,x9932,x9933,x9934,x9935),f53(x9936,x9932,x9933,x9934,x9935))+~E(f62(x9931,f49(x9931,x9936,x9932,x9933,x9934,x9935)),f62(x9936,f49(x9931,x9936,x9932,x9933,x9934,x9935))) % 0.65/1.02 [878]P21(f56(x8781,x8782,x8783,x8784),x8785,f68(x8784,a1))+~P21(x8781,f51(x8786,f39(x8785,f68(x8784,a1),x8783),x8783,x8784),f68(f70(x8783,x8784),a1)) % 0.65/1.02 [890]~P22(x8901,f62(f62(x8902,x8906),x8907),x8905)+P22(x8901,f62(f66(x8902,x8903,x8904,f68(x8905,a1)),f52(x8906,x8907,x8903,x8904)),x8905) % 0.65/1.02 [906]~P22(f52(x9062,x9063,x9064,x9065),x9067,f70(x9064,x9065))+P22(f62(f62(x9061,x9062),x9063),f58(f66(x9061,x9064,x9065,x9066),x9067,f70(x9064,x9065),x9066),x9066) % 0.65/1.02 [994]~P22(f52(x9941,x9942,x9945,x9946),f60(x9943,x9944,x9945,x9947,x9946),f70(x9945,x9946))+P22(f52(x9941,f22(x9941,x9942,x9943,x9944,x9945,x9946,x9947),x9945,x9947),x9943,f70(x9945,x9947)) % 0.65/1.02 [995]~P22(f52(x9951,x9952,x9955,x9956),f60(x9953,x9954,x9955,x9957,x9956),f70(x9955,x9956))+P22(f52(f22(x9951,x9952,x9953,x9954,x9955,x9956,x9957),x9952,x9957,x9956),x9954,f70(x9957,x9956)) % 0.65/1.02 [974]P31(f62(f62(f62(x9741,x9742),x9743),x9744))+~P31(f62(f62(f66(x9741,x9745,x9746,f68(x9747,a1)),f52(x9742,x9743,x9745,x9746)),x9744)) % 0.65/1.02 [925]~P5(x9251,x9252)+~P15(x9251,x9252)+P21(f60(f55(x9251,x9252,x9252),x9251,x9252,x9252,x9252),x9251,f68(f70(x9252,x9252),a1)) % 0.65/1.02 [764]~P15(x7641,x7642)+~P6(x7641,x7642)+P15(f4(x7641,f54(f47(f68(f70(x7642,x7642),a1)),x7642),f68(f70(x7642,x7642),a1)),x7642) % 0.65/1.02 [519]P21(x5192,x5191,x5193)+~P29(x5193)+P21(x5191,x5192,x5193) % 0.65/1.02 [512]~P3(x5122)+~E(f46(x5123,x5121,x5122),f47(x5122))+E(x5121,f47(x5122)) % 0.65/1.02 [513]~P3(x5132)+~E(f46(x5131,x5133,x5132),f47(x5132))+E(x5131,f47(x5132)) % 0.65/1.02 [529]~P25(x5293)+~P21(x5292,x5291,x5293)+E(f3(x5291,x5292,x5293),x5292) % 0.65/1.02 [530]~P25(x5303)+~P21(x5301,x5302,x5303)+E(f3(x5301,x5302,x5303),x5301) % 0.65/1.02 [531]~P23(x5313)+~P21(x5311,x5312,x5313)+E(f46(x5311,x5312,x5313),x5312) % 0.65/1.02 [532]~P23(x5323)+~P21(x5322,x5321,x5323)+E(f46(x5321,x5322,x5323),x5321) % 0.65/1.02 [533]~P25(x5333)+P21(x5331,x5332,x5333)+~E(f3(x5331,x5332,x5333),x5331) % 0.65/1.02 [534]~P23(x5343)+P21(x5341,x5342,x5343)+~E(f46(x5341,x5342,x5343),x5342) % 0.65/1.02 [583]E(x5831,x5832)+~P21(x5831,x5832,f68(x5833,a1))+~P21(x5832,x5831,f68(x5833,a1)) % 0.65/1.02 [577]P18(x5771,x5772)+~P18(x5773,x5772)+~P21(x5771,x5773,f68(f70(x5772,x5772),a1)) % 0.65/1.02 [578]P19(x5781,x5782)+~P19(x5783,x5782)+~P21(x5781,x5783,f68(f70(x5782,x5782),a1)) % 0.65/1.02 [579]P6(x5791,x5792)+~P6(x5793,x5792)+~P21(x5791,x5793,f68(f70(x5792,x5792),a1)) % 0.65/1.02 [600]~P22(x6002,f64(x6003,a67),a67)+P31(f62(x6001,x6002))+~P31(f62(x6001,f74(x6001,x6003))) % 0.65/1.02 [601]~P22(x6012,f64(x6013,a67),a67)+P31(f62(x6011,x6012))+~P31(f62(x6011,f75(x6011,x6013))) % 0.65/1.02 [670]E(x6701,x6702)+~P22(x6703,a5,f68(f70(a61,a61),a1))+P22(f41(x6703,x6701,x6702),a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [671]E(x6711,x6712)+~P22(x6713,a5,f68(f70(a61,a61),a1))+P22(f42(x6713,x6711,x6712),a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [702]E(f54(x7021,x7022),f54(x7023,x7022))+~P21(x7021,f54(x7023,x7022),f68(f70(x7022,x7022),a1))+~P21(x7023,x7021,f68(f70(x7022,x7022),a1)) % 0.65/1.02 [750]E(x7501,x7502)+P22(f52(x7502,x7501,a61,a61),f42(x7503,x7502,x7501),f70(a61,a61))+~P22(x7503,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [751]E(x7511,x7512)+P22(f52(x7511,x7512,a61,a61),f41(x7513,x7511,x7512),f70(a61,a61))+~P22(x7513,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [760]~P18(x7603,x7602)+~P21(x7601,f56(x7603,x7601,x7602,x7602),f68(x7602,a1))+E(x7601,f47(f68(x7602,a1))) % 0.65/1.02 [836]E(x8361,x8362)+~P22(f52(x8361,x8362,a67,a67),f54(x8363,a67),f70(a67,a67))+P22(f52(f76(x8361,x8362,x8363),x8362,a67,a67),x8363,f70(a67,a67)) % 0.65/1.02 [838]E(x8381,x8382)+~P22(f52(x8381,x8382,a67,a67),f54(x8383,a67),f70(a67,a67))+P22(f52(x8381,f76(x8381,x8382,x8383),a67,a67),f54(x8383,a67),f70(a67,a67)) % 0.65/1.02 [876]~P22(f52(x8763,x8762,a61,a61),x8761,f70(a61,a61))+~P22(f52(x8762,x8763,a61,a61),x8761,f70(a61,a61))+~P22(x8761,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [963]P22(f52(x9631,x9632,a67,a67),x9633,f70(a67,a67))+P22(f52(f77(x9631,x9632,x9633),x9632,a67,a67),x9633,f70(a67,a67))+~P22(f52(x9631,x9632,a67,a67),f60(x9633,f54(x9633,a67),a67,a67,a67),f70(a67,a67)) % 0.65/1.02 [977]P22(f52(x9771,x9772,a67,a67),x9773,f70(a67,a67))+~P22(f52(x9771,x9772,a67,a67),f60(x9773,f54(x9773,a67),a67,a67,a67),f70(a67,a67))+P22(f52(x9771,f77(x9771,x9772,x9773),a67,a67),f60(x9773,f54(x9773,a67),a67,a67,a67),f70(a67,a67)) % 0.65/1.02 [620]~P5(x6202,x6203)+~P5(x6201,x6203)+P5(f3(x6201,x6202,f68(f70(x6203,x6203),a1)),x6203) % 0.65/1.02 [621]~P5(x6212,x6213)+~P5(x6211,x6213)+P5(f46(x6211,x6212,f68(f70(x6213,x6213),a1)),x6213) % 0.65/1.02 [622]~P15(x6222,x6223)+~P15(x6221,x6223)+P15(f3(x6221,x6222,f68(f70(x6223,x6223),a1)),x6223) % 0.65/1.02 [716]~P21(x7161,f57(x7163,f47(f68(x7162,a1)),x7162),f68(x7162,a1))+E(x7161,f47(f68(x7162,a1)))+E(x7161,f57(x7163,f47(f68(x7162,a1)),x7162)) % 0.65/1.02 [962]P21(f54(x9621,x9622),x9623,f68(f70(x9622,x9622),a1))+~P21(f60(f3(f54(x9621,x9622),x9623,f68(f70(x9622,x9622),a1)),x9621,x9622,x9622,x9622),x9623,f68(f70(x9622,x9622),a1))+~P21(f54(f47(f68(f70(x9622,x9622),a1)),x9622),x9623,f68(f70(x9622,x9622),a1)) % 0.65/1.02 [990]~P21(x9901,x9903,f68(f70(x9902,x9902),a1))+P21(f60(x9901,f54(x9901,x9902),x9902,x9902,x9902),x9903,f68(f70(x9902,x9902),a1))+~P21(f60(f3(f60(x9901,f54(x9901,x9902),x9902,x9902,x9902),x9903,f68(f70(x9902,x9902),a1)),x9901,x9902,x9902,x9902),x9903,f68(f70(x9902,x9902),a1)) % 0.65/1.02 [545]~P26(x5454)+E(x5451,x5452)+~E(f4(x5453,x5453,x5454),f4(x5451,x5452,x5454)) % 0.65/1.02 [546]~P26(x5463)+E(x5461,x5462)+~E(f4(x5461,x5462,x5463),f4(x5464,x5464,x5463)) % 0.65/1.02 [558]~P21(x5583,x5581,f68(x5584,a1))+P31(f62(x5581,x5582))+~P31(f62(x5583,x5582)) % 0.65/1.02 [590]~P23(x5904)+~P21(x5901,x5903,x5904)+P21(x5901,f46(x5902,x5903,x5904),x5904) % 0.65/1.02 [591]~P23(x5914)+~P21(x5911,x5912,x5914)+P21(x5911,f46(x5912,x5913,x5914),x5914) % 0.65/1.02 [592]~P25(x5923)+~P21(x5922,x5924,x5923)+P21(f3(x5921,x5922,x5923),x5924,x5923) % 0.65/1.02 [593]~P25(x5933)+~P21(x5931,x5934,x5933)+P21(f3(x5931,x5932,x5933),x5934,x5933) % 0.65/1.02 [597]P22(x5971,x5972,x5973)+~P22(x5971,x5974,x5973)+~P21(x5974,x5972,f68(x5973,a1)) % 0.65/1.02 [598]~P18(x5982,x5983)+~P22(x5984,x5981,x5983)+P22(f35(x5981,x5982,x5983),x5981,x5983) % 0.65/1.02 [599]~P18(x5992,x5993)+~P22(x5994,x5991,x5993)+P22(f33(x5991,x5992,x5993),x5991,x5993) % 0.65/1.02 [611]E(x6111,x6112)+P22(x6111,x6113,x6114)+~P22(x6111,f57(x6112,x6113,x6114),x6114) % 0.65/1.02 [613]~P25(x6133)+P21(x6131,x6132,x6133)+~P21(x6131,f3(x6134,x6132,x6133),x6133) % 0.65/1.02 [615]~P25(x6153)+P21(x6151,x6152,x6153)+~P21(x6151,f3(x6152,x6154,x6153),x6153) % 0.65/1.02 [617]~P23(x6173)+P21(x6171,x6172,x6173)+~P21(f46(x6174,x6171,x6173),x6172,x6173) % 0.65/1.02 [619]~P23(x6193)+P21(x6191,x6192,x6193)+~P21(f46(x6191,x6194,x6193),x6192,x6193) % 0.65/1.02 [627]~P21(x6271,x6274,f68(x6273,a1))+~P21(x6274,x6272,f68(x6273,a1))+P21(x6271,x6272,f68(x6273,a1)) % 0.65/1.02 [650]~P22(x6502,f64(x6503,x6504),x6504)+P22(f13(x6501,x6503,x6504),f64(x6503,x6504),x6504)+P31(f62(x6501,x6502)) % 0.65/1.02 [651]~P22(x6512,f64(x6513,x6514),x6514)+P22(f32(x6511,x6513,x6514),f64(x6513,x6514),x6514)+P31(f62(x6511,x6512)) % 0.65/1.02 [669]~P22(x6691,x6694,x6693)+~P21(x6692,x6694,f68(x6693,a1))+P21(f57(x6691,x6692,x6693),x6694,f68(x6693,a1)) % 0.65/1.02 [677]P22(x6771,x6772,x6773)+~P21(x6772,f57(x6771,x6774,x6773),f68(x6773,a1))+P21(x6772,x6774,f68(x6773,a1)) % 0.65/1.02 [738]~P12(x7384,x7383,x7382)+~P22(x7381,x7384,x7382)+P22(f52(x7381,x7381,x7382,x7382),x7383,f70(x7382,x7382)) % 0.65/1.02 [777]~P22(f52(x7771,x7774,x7773,x7773),x7772,f70(x7773,x7773))+P22(x7771,f64(x7772,x7773),x7773)+~P22(x7774,f64(x7772,x7773),x7773) % 0.65/1.02 [783]~P22(f52(x7831,x7834,x7833,x7833),f54(x7832,x7833),f70(x7833,x7833))+P22(x7831,f64(x7832,x7833),x7833)+~P22(x7834,f64(x7832,x7833),x7833) % 0.65/1.02 [820]E(x8201,x8202)+~P22(f52(x8203,x8201,a61,a61),f43(x8204,x8202),f70(a61,a61))+P22(f52(x8203,x8201,a61,a61),x8204,f70(a61,a61)) % 0.65/1.02 [821]E(x8211,x8212)+~P22(f52(x8211,x8213,a61,a61),f40(x8214,x8212),f70(a61,a61))+P22(f52(x8211,x8213,a61,a61),x8214,f70(a61,a61)) % 0.65/1.02 [823]~P5(x8234,x8233)+~P22(f52(x8232,x8231,x8233,x8233),x8234,f70(x8233,x8233))+P22(f52(x8231,x8232,x8233,x8233),x8234,f70(x8233,x8233)) % 0.65/1.02 [865]~P18(x8651,x8652)+~P22(f52(x8654,x8653,x8652,x8652),x8651,f70(x8652,x8652))+~P22(f52(x8653,x8654,x8652,x8652),x8651,f70(x8652,x8652)) % 0.65/1.02 [589]E(x5891,x5892)+~E(f62(f63(x5893,x5894),x5891),f62(f63(x5893,x5894),x5892))+~E(f62(f65(x5893,x5894),x5891),f62(f65(x5893,x5894),x5892)) % 0.65/1.02 [641]~P22(x6414,x6412,x6413)+~P22(x6414,x6411,x6413)+~E(f3(x6411,x6412,f68(x6413,a1)),f47(f68(x6413,a1))) % 0.65/1.02 [649]P14(x6491,x6492,x6493)+~P14(x6494,x6492,x6493)+~P21(x6491,x6494,f68(f70(x6492,x6493),a1)) % 0.65/1.02 [654]~P22(x6541,x6544,x6543)+P22(x6541,x6542,x6543)+P22(x6541,f4(x6544,x6542,f68(x6543,a1)),x6543) % 0.65/1.02 [662]~P22(x6621,x6623,x6624)+~P22(x6621,x6622,x6624)+P22(x6621,f3(x6622,x6623,f68(x6624,a1)),x6624) % 0.65/1.02 [674]E(x6741,x6742)+P31(f62(x6743,x6741))+~P31(f62(f57(x6742,x6743,x6744),x6741)) % 0.65/1.02 [680]P22(x6801,x6802,x6803)+P22(x6801,x6804,x6803)+~P22(x6801,f46(x6802,x6804,f68(x6803,a1)),x6803) % 0.65/1.02 [685]~P18(x6853,x6854)+P31(f62(x6851,x6852))+~P31(f62(x6851,f37(x6851,x6853,x6854))) % 0.65/1.02 [686]~P18(x6863,x6864)+P31(f62(x6861,x6862))+~P31(f62(x6861,f48(x6861,x6863,x6864))) % 0.65/1.02 [687]~P18(x6873,x6874)+P31(f62(x6871,x6872))+~P31(f62(x6871,f36(x6871,x6873,x6874))) % 0.65/1.02 [688]~P18(x6883,x6884)+P31(f62(x6881,x6882))+~P31(f62(x6881,f38(x6881,x6883,x6884))) % 0.65/1.02 [698]~P21(x6981,x6982,f68(x6984,a1))+~P21(x6981,x6983,f68(x6984,a1))+P21(x6981,f3(x6982,x6983,f68(x6984,a1)),f68(x6984,a1)) % 0.65/1.02 [700]~P21(x7001,x7004,f68(x7003,a1))+~P21(x7002,x7004,f68(x7003,a1))+P21(f46(x7001,x7002,f68(x7003,a1)),x7004,f68(x7003,a1)) % 0.65/1.02 [701]~P21(x7011,x7012,f68(x7014,a1))+~P21(x7013,x7011,f68(x7014,a1))+E(f4(x7011,f4(x7012,x7013,f68(x7014,a1)),f68(x7014,a1)),x7013) % 0.65/1.02 [709]~P22(x7092,f64(x7093,x7094),x7094)+P31(f62(x7091,x7092))+~P31(f62(x7091,f13(x7091,x7093,x7094))) % 0.65/1.02 [710]~P22(x7102,f64(x7103,x7104),x7104)+P31(f62(x7101,x7102))+~P31(f62(x7101,f32(x7101,x7103,x7104))) % 0.65/1.02 [768]~P22(x7682,x7681,x7683)+~P21(x7681,f57(x7682,x7684,x7683),f68(x7683,a1))+P21(f4(x7681,f57(x7682,f47(f68(x7683,a1)),x7683),f68(x7683,a1)),x7684,f68(x7683,a1)) % 0.65/1.02 [789]E(x7891,x7892)+~P22(f52(x7894,x7894,a61,a61),f41(x7893,x7891,x7892),f70(a61,a61))+~P22(x7893,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [790]E(x7901,x7902)+~P22(f52(x7904,x7904,a61,a61),f42(x7903,x7901,x7902),f70(a61,a61))+~P22(x7903,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [796]~P22(x7962,x7961,x7964)+P21(x7961,f57(x7962,x7963,x7964),f68(x7964,a1))+~P21(f4(x7961,f57(x7962,f47(f68(x7964,a1)),x7964),f68(x7964,a1)),x7963,f68(x7964,a1)) % 0.65/1.02 [831]E(x8311,x8312)+~P22(f52(x8311,x8312,x8313,x8313),f54(x8314,x8313),f70(x8313,x8313))+P22(x8311,f58(f63(x8313,x8313),x8314,f70(x8313,x8313),x8313),x8313) % 0.65/1.02 [857]~P18(x8574,x8573)+P22(f52(x8572,x8571,x8573,x8573),f54(x8574,x8573),f70(x8573,x8573))+P18(f57(f52(x8571,x8572,x8573,x8573),x8574,f70(x8573,x8573)),x8573) % 0.65/1.02 [858]~P19(x8584,x8583)+P22(f52(x8582,x8581,x8583,x8583),f54(x8584,x8583),f70(x8583,x8583))+P19(f57(f52(x8581,x8582,x8583,x8583),x8584,f70(x8583,x8583)),x8583) % 0.65/1.02 [901]E(x9011,x9012)+~P22(f52(x9011,x9012,x9014,x9014),f54(x9013,x9014),f70(x9014,x9014))+P22(f52(x9011,f21(x9013,x9011,x9012,x9014),x9014,x9014),x9013,f70(x9014,x9014)) % 0.65/1.02 [902]E(x9021,x9022)+~P22(f52(x9021,x9022,x9024,x9024),f54(x9023,x9024),f70(x9024,x9024))+P22(f52(f25(x9021,x9022,x9023,x9024),x9022,x9024,x9024),x9023,f70(x9024,x9024)) % 0.65/1.02 [903]E(x9031,x9032)+~P22(f52(x9031,x9032,x9034,x9034),f54(x9033,x9034),f70(x9034,x9034))+P22(f52(x9031,f25(x9031,x9032,x9033,x9034),x9034,x9034),f54(x9033,x9034),f70(x9034,x9034)) % 0.65/1.02 [904]E(x9041,x9042)+~P22(f52(x9041,x9042,x9044,x9044),f54(x9043,x9044),f70(x9044,x9044))+P22(f52(f21(x9043,x9041,x9042,x9044),x9042,x9044,x9044),f54(x9043,x9044),f70(x9044,x9044)) % 0.65/1.02 [945]E(x9451,x9452)+~P22(f52(x9451,x9452,x9453,x9453),f54(x9454,x9453),f70(x9453,x9453))+P22(f52(x9451,x9452,x9453,x9453),f60(x9454,f54(x9454,x9453),x9453,x9453,x9453),f70(x9453,x9453)) % 0.65/1.02 [972]~P22(x9721,f60(x9724,f54(x9724,x9723),x9723,x9723,x9723),f70(x9723,x9723))+P22(x9721,f60(x9722,f54(x9722,x9723),x9723,x9723,x9723),f70(x9723,x9723))+~P21(x9724,x9722,f68(f70(x9723,x9723),a1)) % 0.65/1.02 [975]P22(f52(x9751,x9752,x9753,x9753),x9754,f70(x9753,x9753))+P22(f52(x9751,f27(x9754,x9751,x9752,x9753),x9753,x9753),x9754,f70(x9753,x9753))+~P22(f52(x9751,x9752,x9753,x9753),f60(x9754,f54(x9754,x9753),x9753,x9753,x9753),f70(x9753,x9753)) % 0.65/1.02 [976]P22(f52(x9761,x9762,x9763,x9763),x9764,f70(x9763,x9763))+P22(f52(f31(x9761,x9762,x9764,x9763),x9762,x9763,x9763),x9764,f70(x9763,x9763))+~P22(f52(x9761,x9762,x9763,x9763),f60(x9764,f54(x9764,x9763),x9763,x9763,x9763),f70(x9763,x9763)) % 0.65/1.02 [982]P22(f52(x9821,x9822,x9823,x9823),x9824,f70(x9823,x9823))+P22(f52(x9821,f31(x9821,x9822,x9824,x9823),x9823,x9823),f60(x9824,f54(x9824,x9823),x9823,x9823,x9823),f70(x9823,x9823))+~P22(f52(x9821,x9822,x9823,x9823),f60(x9824,f54(x9824,x9823),x9823,x9823,x9823),f70(x9823,x9823)) % 0.65/1.02 [983]P22(f52(x9831,x9832,x9833,x9833),x9834,f70(x9833,x9833))+P22(f52(f27(x9834,x9831,x9832,x9833),x9832,x9833,x9833),f60(x9834,f54(x9834,x9833),x9833,x9833,x9833),f70(x9833,x9833))+~P22(f52(x9831,x9832,x9833,x9833),f60(x9834,f54(x9834,x9833),x9833,x9833,x9833),f70(x9833,x9833)) % 0.65/1.02 [679]~P31(f62(x6792,x6794))+~P31(f62(x6791,x6794))+P31(f62(f3(x6791,x6792,f68(x6793,a1)),x6794)) % 0.65/1.02 [715]P31(f62(x7151,x7152))+P31(f62(x7153,x7152))+~P31(f62(f46(x7151,x7153,f68(x7154,a1)),x7152)) % 0.65/1.02 [779]~P7(x7794,x7792,x7793)+~P22(x7791,x7794,x7793)+P22(x7791,f56(x7792,f57(x7791,f47(f68(x7793,a1)),x7793),x7793,x7793),x7793) % 0.65/1.02 [960]~E(f60(x9601,x9602,x9604,x9604,x9604),f47(f68(f70(x9604,x9604),a1)))+~E(f60(x9601,x9603,x9604,x9604,x9604),f47(f68(f70(x9604,x9604),a1)))+E(f60(x9601,f46(x9602,x9603,f68(f70(x9604,x9604),a1)),x9604,x9604,x9604),f47(f68(f70(x9604,x9604),a1))) % 0.65/1.02 [961]~E(f60(x9611,x9614,x9613,x9613,x9613),f47(f68(f70(x9613,x9613),a1)))+~E(f60(x9612,x9614,x9613,x9613,x9613),f47(f68(f70(x9613,x9613),a1)))+E(f60(f46(x9611,x9612,f68(f70(x9613,x9613),a1)),x9614,x9613,x9613,x9613),f47(f68(f70(x9613,x9613),a1))) % 0.65/1.02 [580]~P4(x5804)+P21(f62(x5801,x5802),f62(x5803,x5802),x5804)+~P21(x5801,x5803,f68(x5805,x5804)) % 0.65/1.02 [769]P22(x7691,x7692,x7693)+~P12(x7692,x7694,x7693)+~P22(f52(x7695,x7691,x7693,x7693),x7694,f70(x7693,x7693)) % 0.65/1.02 [770]P22(x7701,x7702,x7703)+~P12(x7702,x7704,x7703)+~P22(f52(x7701,x7705,x7703,x7703),x7704,f70(x7703,x7703)) % 0.65/1.02 [771]P22(x7711,x7712,x7713)+~P7(x7712,x7714,x7713)+~P22(f52(x7715,x7711,x7713,x7713),x7714,f70(x7713,x7713)) % 0.65/1.02 [772]P22(x7721,x7722,x7723)+~P7(x7722,x7724,x7723)+~P22(f52(x7721,x7725,x7723,x7723),x7724,f70(x7723,x7723)) % 0.65/1.02 [895]P22(f52(x8951,x8952,x8953,x8953),f54(x8954,x8953),f70(x8953,x8953))+~P22(f52(x8951,x8955,x8953,x8953),f54(x8954,x8953),f70(x8953,x8953))+~P22(f52(x8955,x8952,x8953,x8953),x8954,f70(x8953,x8953)) % 0.65/1.02 [896]P22(f52(x8961,x8962,x8963,x8963),f54(x8964,x8963),f70(x8963,x8963))+~P22(f52(x8965,x8962,x8963,x8963),f54(x8964,x8963),f70(x8963,x8963))+~P22(f52(x8961,x8965,x8963,x8963),x8964,f70(x8963,x8963)) % 0.65/1.02 [898]P22(f52(x8981,x8982,x8983,x8983),f54(x8984,x8983),f70(x8983,x8983))+~P22(f52(x8981,x8985,x8983,x8983),f54(x8984,x8983),f70(x8983,x8983))+~P22(f52(x8985,x8982,x8983,x8983),f54(x8984,x8983),f70(x8983,x8983)) % 0.65/1.02 [919]~P14(x9192,x9194,x9195)+~P14(x9191,x9193,x9194)+P14(f60(x9191,x9192,x9193,x9194,x9195),x9193,x9195) % 0.65/1.02 [724]~P21(x7241,x7244,f68(x7243,a1))+~P21(x7242,x7245,f68(x7243,a1))+P21(f3(x7241,x7242,f68(x7243,a1)),f3(x7244,x7245,f68(x7243,a1)),f68(x7243,a1)) % 0.65/1.02 [725]~P21(x7251,x7254,f68(x7253,a1))+~P21(x7255,x7252,f68(x7253,a1))+P21(f4(x7251,x7252,f68(x7253,a1)),f4(x7254,x7255,f68(x7253,a1)),f68(x7253,a1)) % 0.65/1.02 [726]~P21(x7261,x7264,f68(x7263,a1))+~P21(x7262,x7265,f68(x7263,a1))+P21(f46(x7261,x7262,f68(x7263,a1)),f46(x7264,x7265,f68(x7263,a1)),f68(x7263,a1)) % 0.65/1.02 [951]~P22(f52(x9511,x9515,x9513,x9513),x9514,f70(x9513,x9513))+~P22(f52(x9515,x9512,x9513,x9513),x9514,f70(x9513,x9513))+P22(f52(x9511,x9512,x9513,x9513),f60(x9514,f54(x9514,x9513),x9513,x9513,x9513),f70(x9513,x9513)) % 0.65/1.02 [953]~P22(f52(x9531,x9535,x9533,x9533),f54(x9534,x9533),f70(x9533,x9533))+~P22(f52(x9535,x9532,x9533,x9533),x9534,f70(x9533,x9533))+P22(f52(x9531,x9532,x9533,x9533),f60(x9534,f54(x9534,x9533),x9533,x9533,x9533),f70(x9533,x9533)) % 0.65/1.02 [978]~P22(f52(x9785,x9782,x9783,x9783),x9784,f70(x9783,x9783))+P22(f52(x9781,x9782,x9783,x9783),f60(x9784,f54(x9784,x9783),x9783,x9783,x9783),f70(x9783,x9783))+~P22(f52(x9781,x9785,x9783,x9783),f60(x9784,f54(x9784,x9783),x9783,x9783,x9783),f70(x9783,x9783)) % 0.65/1.02 [979]~P22(f52(x9791,x9795,x9793,x9793),x9794,f70(x9793,x9793))+P22(f52(x9791,x9792,x9793,x9793),f60(x9794,f54(x9794,x9793),x9793,x9793,x9793),f70(x9793,x9793))+~P22(f52(x9795,x9792,x9793,x9793),f60(x9794,f54(x9794,x9793),x9793,x9793,x9793),f70(x9793,x9793)) % 0.65/1.02 [980]~P22(f52(x9805,x9802,x9803,x9803),f54(x9804,x9803),f70(x9803,x9803))+P22(f52(x9801,x9802,x9803,x9803),f60(x9804,f54(x9804,x9803),x9803,x9803,x9803),f70(x9803,x9803))+~P22(f52(x9801,x9805,x9803,x9803),f60(x9804,f54(x9804,x9803),x9803,x9803,x9803),f70(x9803,x9803)) % 0.65/1.02 [981]~P22(f52(x9811,x9815,x9813,x9813),f54(x9814,x9813),f70(x9813,x9813))+P22(f52(x9811,x9812,x9813,x9813),f60(x9814,f54(x9814,x9813),x9813,x9813,x9813),f70(x9813,x9813))+~P22(f52(x9815,x9812,x9813,x9813),f60(x9814,f54(x9814,x9813),x9813,x9813,x9813),f70(x9813,x9813)) % 0.65/1.02 [988]P22(f52(x9881,x9882,x9883,x9883),f60(x9884,f54(x9884,x9883),x9883,x9883,x9883),f70(x9883,x9883))+~P22(f52(x9881,x9885,x9883,x9883),f60(x9884,f54(x9884,x9883),x9883,x9883,x9883),f70(x9883,x9883))+~P22(f52(x9885,x9882,x9883,x9883),f60(x9884,f54(x9884,x9883),x9883,x9883,x9883),f70(x9883,x9883)) % 0.65/1.02 [728]~P12(x7282,x7285,x7283)+~P12(x7281,x7284,x7283)+P12(f3(x7281,x7282,f68(x7283,a1)),f3(x7284,x7285,f68(f70(x7283,x7283),a1)),x7283) % 0.65/1.02 [729]~P12(x7292,x7295,x7293)+~P12(x7291,x7294,x7293)+P12(f46(x7291,x7292,f68(x7293,a1)),f46(x7294,x7295,f68(f70(x7293,x7293),a1)),x7293) % 0.65/1.02 [746]E(x7461,x7462)+E(x7461,x7463)+~E(f57(x7464,f57(x7461,f47(f68(x7465,a1)),x7465),x7465),f57(x7463,f57(x7462,f47(f68(x7465,a1)),x7465),x7465)) % 0.65/1.02 [747]E(x7471,x7472)+E(x7473,x7472)+~E(f57(x7473,f57(x7471,f47(f68(x7474,a1)),x7474),x7474),f57(x7475,f57(x7472,f47(f68(x7474,a1)),x7474),x7474)) % 0.65/1.02 [748]E(x7481,x7482)+E(x7483,x7482)+~E(f57(x7483,f57(x7481,f47(f68(x7484,a1)),x7484),x7484),f57(x7482,f57(x7485,f47(f68(x7484,a1)),x7484),x7484)) % 0.65/1.02 [749]E(x7491,x7492)+E(x7491,x7493)+~E(f57(x7491,f57(x7494,f47(f68(x7495,a1)),x7495),x7495),f57(x7493,f57(x7492,f47(f68(x7495,a1)),x7495),x7495)) % 0.65/1.02 [874]~P7(x8745,x8741,x8743)+~P22(f52(x8742,x8744,x8743,x8743),x8741,f70(x8743,x8743))+E(f56(x8741,f57(x8742,f47(f68(x8743,a1)),x8743),x8743,x8743),f56(x8741,f57(x8744,f47(f68(x8743,a1)),x8743),x8743,x8743)) % 0.65/1.02 [928]~P7(x9285,x9281,x9283)+~P22(f52(x9282,x9284,x9283,x9283),x9281,f70(x9283,x9283))+P21(f56(x9281,f57(x9282,f47(f68(x9283,a1)),x9283),x9283,x9283),f56(x9281,f57(x9284,f47(f68(x9283,a1)),x9283),x9283,x9283),f68(x9283,a1)) % 0.65/1.02 [773]~P22(x7732,x7735,x7736)+P22(f62(x7731,x7732),x7733,x7734)+~P21(f58(x7731,x7735,x7736,x7734),x7733,f68(x7734,a1)) % 0.65/1.02 [794]~P22(x7941,x7945,x7943)+~P22(x7942,f62(x7946,x7941),x7944)+P22(f52(x7941,x7942,x7943,x7944),f51(x7945,x7946,x7943,x7944),f70(x7943,x7944)) % 0.65/1.02 [798]~P8(x7984,x7981,x7985,x7986)+~P22(f52(x7982,x7983,x7985,x7985),x7984,f70(x7985,x7985))+E(f62(x7981,x7982),f62(x7981,x7983)) % 0.65/1.02 [826]~P22(x8266,x8263,x8264)+~P22(f52(x8266,x8261,x8264,x8265),x8262,f70(x8264,x8265))+P22(x8261,f56(x8262,x8263,x8264,x8265),x8265) % 0.65/1.02 [806]~P21(x8062,x8066,f68(x8063,a1))+P21(f56(x8061,x8062,x8063,x8064),f56(x8065,x8066,x8063,x8064),f68(x8064,a1))+~P21(x8061,x8065,f68(f70(x8063,x8064),a1)) % 0.65/1.02 [973]~P7(x9735,x9734,x9733)+P22(f52(x9731,x9732,x9733,x9733),x9734,f70(x9733,x9733))+~P22(x9736,f3(f56(x9734,f57(x9731,f47(f68(x9733,a1)),x9733),x9733,x9733),f56(x9734,f57(x9732,f47(f68(x9733,a1)),x9733),x9733,x9733),f68(x9733,a1)),x9733) % 0.65/1.02 [804]E(x8041,x8042)+~P22(x8046,x8043,x8044)+~E(f51(x8041,f39(x8043,f68(x8044,a1),x8045),x8045,x8044),f51(x8042,f39(x8043,f68(x8044,a1),x8045),x8045,x8044)) % 0.65/1.02 [875]~P22(x8756,x8752,x8753)+~P21(x8751,x8755,f68(x8754,a1))+P21(f51(x8751,f39(x8752,f68(x8753,a1),x8754),x8754,x8753),f51(x8755,f39(x8752,f68(x8753,a1),x8754),x8754,x8753),f68(f70(x8754,x8753),a1)) % 0.65/1.02 [886]~P31(f62(x8861,x8865))+~P31(f62(x8866,x8864))+P31(f62(x8861,f62(f65(x8862,x8863),f52(x8864,x8865,x8862,x8863)))) % 0.65/1.02 [887]~P31(f62(x8871,x8874))+~P31(f62(x8876,x8875))+P31(f62(x8871,f62(f63(x8872,x8873),f52(x8874,x8875,x8872,x8873)))) % 0.65/1.02 [927]~P22(x9274,x9275,x9276)+P21(x9271,x9272,f68(x9273,a1))+~P21(f51(x9271,f39(x9275,f68(x9276,a1),x9273),x9273,x9276),f51(x9272,f39(x9275,f68(x9276,a1),x9273),x9273,x9276),f68(f70(x9273,x9276),a1)) % 0.65/1.02 [948]~P22(f52(x9482,x9485,x9486,x9486),x9484,f70(x9486,x9486))+~E(f53(x9481,x9484,x9485,x9486,x9487),f53(x9483,x9484,x9485,x9486,x9487))+E(f62(x9481,x9482),f62(x9483,x9482)) % 0.65/1.02 [957]~P21(x9572,x9577,f68(f70(x9574,x9575),a1))+~P21(x9571,x9576,f68(f70(x9573,x9574),a1))+P21(f60(x9571,x9572,x9573,x9574,x9575),f60(x9576,x9577,x9573,x9574,x9575),f68(f70(x9573,x9575),a1)) % 0.65/1.02 [949]~P22(f52(x9491,x9498,x9493,x9497),x9495,f70(x9493,x9497))+P22(f52(x9491,x9492,x9493,x9494),f60(x9495,x9496,x9493,x9497,x9494),f70(x9493,x9494))+~P22(f52(x9498,x9492,x9497,x9494),x9496,f70(x9497,x9494)) % 0.65/1.02 [966]~P21(x9662,f51(x9668,f39(x9667,f68(x9665,a1),x9664),x9664,x9665),f68(f70(x9664,x9665),a1))+~P21(x9661,f51(x9666,f39(x9668,f68(x9664,a1),x9663),x9663,x9664),f68(f70(x9663,x9664),a1))+P21(f60(x9661,x9662,x9663,x9664,x9665),f51(x9666,f39(x9667,f68(x9665,a1),x9663),x9663,x9665),f68(f70(x9663,x9665),a1)) % 0.65/1.02 [549]~P21(x5492,x5491,x5493)+~P21(x5491,x5492,x5493)+E(x5491,x5492)+~P28(x5493) % 0.65/1.02 [553]~P15(x5532,x5533)+~P13(x5532,x5533)+~P16(x5531,x5532,x5533)+P10(x5531,x5532,x5533) % 0.65/1.02 [797]E(x7971,x7972)+P22(f52(x7971,x7972,a61,a61),x7973,f70(a61,a61))+P22(f52(x7972,x7971,a61,a61),x7973,f70(a61,a61))+~P22(x7973,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [841]E(x8411,x8412)+~P22(f52(x8411,x8412,a61,a61),x8413,f70(a61,a61))+P22(f52(x8411,x8412,a61,a61),f42(x8413,x8411,x8412),f70(a61,a61))+~P22(x8413,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [921]~P18(x9212,x9213)+~P18(x9211,x9213)+~E(f3(f58(f63(x9213,x9213),x9211,f70(x9213,x9213),x9213),f58(f63(x9213,x9213),f55(x9212,x9213,x9213),f70(x9213,x9213),x9213),f68(x9213,a1)),f47(f68(x9213,a1)))+P18(f46(x9211,x9212,f68(f70(x9213,x9213),a1)),x9213) % 0.65/1.02 [947]~P18(x9472,x9473)+~P18(x9471,x9473)+~P21(f60(x9471,x9472,x9473,x9473,x9473),x9471,f68(f70(x9473,x9473),a1))+P18(f46(x9471,x9472,f68(f70(x9473,x9473),a1)),x9473) % 0.65/1.02 [575]~P28(x5753)+~P21(x5751,x5754,x5753)+P21(x5751,x5752,x5753)+~P21(x5754,x5752,x5753) % 0.65/1.02 [576]~P30(x5763)+~P21(x5761,x5764,x5763)+P21(x5761,x5762,x5763)+~P21(x5764,x5762,x5763) % 0.65/1.02 [602]P22(x6023,x6021,x6024)+E(x6021,x6022)+P22(x6023,x6022,x6024)+~E(f57(x6023,x6021,x6024),f57(x6023,x6022,x6024)) % 0.65/1.02 [644]~P25(x6444)+~P21(x6441,x6443,x6444)+~P21(x6441,x6442,x6444)+P21(x6441,f3(x6442,x6443,x6444),x6444) % 0.65/1.02 [647]~P23(x6473)+~P21(x6472,x6474,x6473)+~P21(x6471,x6474,x6473)+P21(f46(x6471,x6472,x6473),x6474,x6473) % 0.65/1.02 [815]E(x8151,x8152)+E(x8153,x8152)+~P22(f52(x8153,x8151,a61,a61),x8154,f70(a61,a61))+P22(f52(x8153,x8151,a61,a61),f40(x8154,x8152),f70(a61,a61)) % 0.65/1.02 [816]E(x8161,x8162)+E(x8163,x8162)+~P22(f52(x8163,x8161,a61,a61),x8164,f70(a61,a61))+P22(f52(x8163,x8161,a61,a61),f43(x8164,x8162),f70(a61,a61)) % 0.65/1.02 [817]E(x8171,x8172)+E(x8173,x8171)+~P22(f52(x8173,x8171,a61,a61),x8174,f70(a61,a61))+P22(f52(x8173,x8171,a61,a61),f40(x8174,x8172),f70(a61,a61)) % 0.65/1.02 [818]E(x8181,x8182)+E(x8181,x8183)+~P22(f52(x8181,x8183,a61,a61),x8184,f70(a61,a61))+P22(f52(x8181,x8183,a61,a61),f43(x8184,x8182),f70(a61,a61)) % 0.65/1.02 [867]E(x8671,x8672)+~P6(x8673,x8674)+~P22(f52(x8672,x8671,x8674,x8674),x8673,f70(x8674,x8674))+~P22(f52(x8671,x8672,x8674,x8674),x8673,f70(x8674,x8674)) % 0.65/1.02 [780]~P22(x7803,f64(x7804,a67),a67)+~P22(f52(x7802,f74(x7801,x7804),a67,a67),x7804,f70(a67,a67))+P31(f62(x7801,x7802))+P31(f62(x7801,x7803)) % 0.65/1.02 [781]~P22(x7813,f64(x7814,a67),a67)+~P22(f52(x7812,f75(x7811,x7814),a67,a67),x7814,f70(a67,a67))+P31(f62(x7811,x7812))+P31(f62(x7811,x7813)) % 0.65/1.02 [787]~P22(x7872,f64(x7874,a67),a67)+P22(x7873,f64(x7874,a67),a67)+~P22(f52(x7873,f74(x7871,x7874),a67,a67),x7874,f70(a67,a67))+P31(f62(x7871,x7872)) % 0.65/1.02 [788]~P22(x7882,f64(x7884,a67),a67)+P22(x7883,f64(x7884,a67),a67)+~P22(f52(x7883,f75(x7881,x7884),a67,a67),x7884,f70(a67,a67))+P31(f62(x7881,x7882)) % 0.65/1.02 [859]E(x8591,x8592)+~P22(f52(x8593,x8591,a61,a61),f42(x8594,x8591,x8592),f70(a61,a61))+P22(f52(x8593,x8592,a61,a61),x8594,f70(a61,a61))+~P22(x8594,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [860]E(x8601,x8602)+~P22(f52(x8601,x8603,a61,a61),f41(x8604,x8602,x8601),f70(a61,a61))+P22(f52(x8602,x8603,a61,a61),x8604,f70(a61,a61))+~P22(x8604,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [625]~P27(x6253)+~P21(x6255,x6254,x6253)+P21(x6251,x6252,x6253)+~E(f4(x6254,x6255,x6253),f4(x6252,x6251,x6253)) % 0.65/1.02 [626]~P27(x6263)+~P21(x6265,x6264,x6263)+P21(x6261,x6262,x6263)+~E(f4(x6262,x6261,x6263),f4(x6264,x6265,x6263)) % 0.65/1.02 [893]~P15(x8934,x8933)+~P22(f52(x8931,x8935,x8933,x8933),x8934,f70(x8933,x8933))+P22(f52(x8931,x8932,x8933,x8933),x8934,f70(x8933,x8933))+~P22(f52(x8935,x8932,x8933,x8933),x8934,f70(x8933,x8933)) % 0.65/1.02 [799]~P18(x7994,x7995)+~P22(f52(x7992,f37(x7991,x7994,x7995),x7995,x7995),x7994,f70(x7995,x7995))+P31(f62(x7991,x7992))+P31(f62(x7991,x7993)) % 0.65/1.02 [800]~P18(x8004,x8005)+~P22(f52(x8002,f48(x8001,x8004,x8005),x8005,x8005),x8004,f70(x8005,x8005))+P31(f62(x8001,x8002))+P31(f62(x8001,x8003)) % 0.65/1.02 [801]~P18(x8014,x8015)+~P22(f52(x8012,f36(x8011,x8014,x8015),x8015,x8015),x8014,f70(x8015,x8015))+P31(f62(x8011,x8012))+P31(f62(x8011,x8013)) % 0.65/1.02 [802]~P18(x8024,x8025)+~P22(f52(x8022,f38(x8021,x8024,x8025),x8025,x8025),x8024,f70(x8025,x8025))+P31(f62(x8021,x8022))+P31(f62(x8021,x8023)) % 0.65/1.02 [810]~P22(x8103,f64(x8104,x8105),x8105)+~P22(f52(x8102,f13(x8101,x8104,x8105),x8105,x8105),x8104,f70(x8105,x8105))+P31(f62(x8101,x8102))+P31(f62(x8101,x8103)) % 0.65/1.02 [811]~P22(x8113,f64(x8114,x8115),x8115)+~P22(f52(x8112,f32(x8111,x8114,x8115),x8115,x8115),x8114,f70(x8115,x8115))+P31(f62(x8111,x8112))+P31(f62(x8111,x8113)) % 0.65/1.02 [812]~P18(x8121,x8122)+~P22(x8123,x8124,x8122)+~P22(x8125,x8124,x8122)+~P22(f52(x8125,f35(x8124,x8121,x8122),x8122,x8122),x8121,f70(x8122,x8122)) % 0.65/1.02 [813]~P18(x8131,x8132)+~P22(x8133,x8134,x8132)+~P22(x8135,x8134,x8132)+~P22(f52(x8135,f33(x8134,x8131,x8132),x8132,x8132),x8131,f70(x8132,x8132)) % 0.65/1.02 [880]~P22(f52(x8802,x8803,x8805,x8805),f54(x8804,x8805),f70(x8805,x8805))+~P31(f62(x8801,x8803))+P31(f62(x8801,x8802))+P31(f62(x8801,f20(x8801,x8803,x8804,x8805))) % 0.65/1.02 [881]~P22(f52(x8813,x8812,x8815,x8815),f54(x8814,x8815),f70(x8815,x8815))+~P31(f62(x8811,x8813))+P31(f62(x8811,x8812))+P31(f62(x8811,f24(x8811,x8813,x8814,x8815))) % 0.65/1.02 [909]~P22(f52(x9093,x9092,x9095,x9095),f54(x9094,x9095),f70(x9095,x9095))+P22(f52(x9093,f24(x9091,x9093,x9094,x9095),x9095,x9095),f54(x9094,x9095),f70(x9095,x9095))+~P31(f62(x9091,x9093))+P31(f62(x9091,x9092)) % 0.65/1.02 [910]~P22(f52(x9102,x9103,x9105,x9105),f54(x9104,x9105),f70(x9105,x9105))+P22(f52(f20(x9101,x9103,x9104,x9105),x9103,x9105,x9105),f54(x9104,x9105),f70(x9105,x9105))+~P31(f62(x9101,x9103))+P31(f62(x9101,x9102)) % 0.65/1.02 [911]~P22(f52(x9112,x9113,x9115,x9115),f54(x9114,x9115),f70(x9115,x9115))+P31(f62(x9111,x9112))+~P31(f62(x9111,x9113))+~P31(f62(x9111,f23(x9111,x9113,x9114,x9115))) % 0.65/1.02 [912]~P22(f52(x9123,x9122,x9125,x9125),f54(x9124,x9125),f70(x9125,x9125))+P31(f62(x9121,x9122))+~P31(f62(x9121,x9123))+~P31(f62(x9121,f28(x9121,x9123,x9124,x9125))) % 0.65/1.02 [939]~P22(f52(x9392,x9393,x9395,x9395),f54(x9394,x9395),f70(x9395,x9395))+P22(f52(f23(x9391,x9393,x9394,x9395),f20(x9391,x9393,x9394,x9395),x9395,x9395),x9394,f70(x9395,x9395))+~P31(f62(x9391,x9393))+P31(f62(x9391,x9392)) % 0.65/1.02 [940]~P22(f52(x9403,x9402,x9405,x9405),f54(x9404,x9405),f70(x9405,x9405))+P22(f52(f24(x9401,x9403,x9404,x9405),f28(x9401,x9403,x9404,x9405),x9405,x9405),x9404,f70(x9405,x9405))+~P31(f62(x9401,x9403))+P31(f62(x9401,x9402)) % 0.65/1.02 [897]E(x8971,x8972)+P22(x8971,x8973,x8974)+~P22(f52(x8971,x8972,x8974,x8974),f54(x8975,x8974),f70(x8974,x8974))+~P21(x8975,f51(x8973,f39(x8973,f68(x8974,a1),x8974),x8974,x8974),f68(f70(x8974,x8974),a1)) % 0.65/1.02 [885]~P7(x8855,x8854,x8853)+~P22(x8852,x8855,x8853)+P22(f52(x8851,x8852,x8853,x8853),x8854,f70(x8853,x8853))+~E(f56(x8854,f57(x8851,f47(f68(x8853,a1)),x8853),x8853,x8853),f56(x8854,f57(x8852,f47(f68(x8853,a1)),x8853),x8853,x8853)) % 0.65/1.02 [941]~P7(x9415,x9414,x9413)+~P22(x9412,x9415,x9413)+P22(f52(x9411,x9412,x9413,x9413),x9414,f70(x9413,x9413))+~P21(f56(x9414,f57(x9412,f47(f68(x9413,a1)),x9413),x9413,x9413),f56(x9414,f57(x9411,f47(f68(x9413,a1)),x9413),x9413,x9413),f68(x9413,a1)) % 0.65/1.02 [872]E(x8721,x8722)+~P14(x8723,x8724,x8725)+~P22(f52(x8726,x8721,x8724,x8725),x8723,f70(x8724,x8725))+~P22(f52(x8726,x8722,x8724,x8725),x8723,f70(x8724,x8725)) % 0.65/1.02 [984]~P9(x9848,x9841,x9842,x9847,x9844,x9845)+~P22(x9843,x9846,x9847)+~P7(x9846,x9848,x9847)+P8(x9841,f62(x9842,x9843),x9844,x9845) % 0.65/1.02 [985]~P9(x9856,x9857,x9851,x9858,x9859,x98510)+~P22(f52(x9853,x9855,x9859,x9859),x9857,f70(x9859,x9859))+~P22(f52(x9852,x9854,x9858,x9858),x9856,f70(x9858,x9858))+E(f62(f62(x9851,x9852),x9853),f62(f62(x9851,x9854),x9855)) % 0.65/1.02 [842]E(x8421,x8422)+E(x8423,x8422)+~P22(f52(x8423,x8421,a61,a61),x8424,f70(a61,a61))+P22(f52(x8422,x8421,a61,a61),f41(x8424,x8423,x8422),f70(a61,a61))+~P22(x8424,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [843]E(x8431,x8432)+E(x8433,x8432)+~P22(f52(x8433,x8431,a61,a61),x8434,f70(a61,a61))+P22(f52(x8432,x8431,a61,a61),f42(x8434,x8432,x8433),f70(a61,a61))+~P22(x8434,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [844]E(x8441,x8442)+E(x8443,x8442)+~P22(f52(x8443,x8441,a61,a61),x8444,f70(a61,a61))+P22(f52(x8443,x8442,a61,a61),f41(x8444,x8441,x8442),f70(a61,a61))+~P22(x8444,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [845]E(x8451,x8452)+E(x8453,x8452)+~P22(f52(x8453,x8451,a61,a61),x8454,f70(a61,a61))+P22(f52(x8453,x8452,a61,a61),f42(x8454,x8452,x8451),f70(a61,a61))+~P22(x8454,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [846]E(x8461,x8462)+E(x8463,x8461)+~P22(f52(x8463,x8461,a61,a61),x8464,f70(a61,a61))+P22(f52(x8463,x8461,a61,a61),f42(x8464,x8462,x8461),f70(a61,a61))+~P22(x8464,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [848]E(x8481,x8482)+E(x8481,x8483)+~P22(f52(x8482,x8481,a61,a61),x8484,f70(a61,a61))+P22(f52(x8482,x8481,a61,a61),f42(x8484,x8483,x8481),f70(a61,a61))+~P22(x8484,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [849]E(x8491,x8492)+E(x8491,x8493)+~P22(f52(x8491,x8492,a61,a61),x8494,f70(a61,a61))+P22(f52(x8491,x8492,a61,a61),f41(x8494,x8491,x8493),f70(a61,a61))+~P22(x8494,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [931]~P14(x9314,x9313,x9313)+P22(f52(x9311,x9312,x9313,x9313),f54(x9314,x9313),f70(x9313,x9313))+P22(f52(x9312,x9311,x9313,x9313),f54(x9314,x9313),f70(x9313,x9313))+~P22(f52(x9315,x9312,x9313,x9313),f54(x9314,x9313),f70(x9313,x9313))+~P22(f52(x9315,x9311,x9313,x9313),f54(x9314,x9313),f70(x9313,x9313)) % 0.65/1.02 [740]E(x7401,x7402)+~P7(x7404,x7405,x7403)+~P22(x7401,f45(x7404,x7405,x7403),f68(x7403,a1))+~P22(x7402,f45(x7404,x7405,x7403),f68(x7403,a1))+E(f3(x7401,x7402,f68(x7403,a1)),f47(f68(x7403,a1))) % 0.65/1.02 [834]~P22(x8341,x8345,x8343)+~P7(x8345,x8344,x8343)+~P22(x8342,x8345,x8343)+P22(f52(x8341,x8342,x8343,x8343),x8344,f70(x8343,x8343))+~E(f45(f57(x8341,f47(f68(x8343,a1)),x8343),x8344,x8343),f45(f57(x8342,f47(f68(x8343,a1)),x8343),x8344,x8343)) % 0.65/1.02 [835]~P22(x8351,x8355,x8352)+~P7(x8355,x8353,x8352)+~P22(x8354,x8355,x8352)+~P22(f52(x8351,x8354,x8352,x8352),x8353,f70(x8352,x8352))+E(f45(f57(x8351,f47(f68(x8352,a1)),x8352),x8353,x8352),f45(f57(x8354,f47(f68(x8352,a1)),x8352),x8353,x8352)) % 0.65/1.02 [778]~P22(x7782,x7785,x7783)+~P22(x7781,x7785,x7783)+~P7(x7786,x7784,x7783)+P22(f52(x7781,x7782,x7783,x7783),x7784,f70(x7783,x7783))+~P22(x7785,f45(x7786,x7784,x7783),f68(x7783,a1)) % 0.65/1.02 [863]E(x8633,x8631)+E(x8631,x8632)+E(x8633,x8632)+~P22(f52(x8631,x8633,a61,a61),f42(x8634,x8631,x8632),f70(a61,a61))+P22(f52(x8632,x8633,a61,a61),x8634,f70(a61,a61))+~P22(x8634,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [864]E(x8643,x8641)+E(x8641,x8642)+E(x8643,x8642)+~P22(f52(x8643,x8641,a61,a61),f41(x8644,x8642,x8641),f70(a61,a61))+P22(f52(x8643,x8642,a61,a61),x8644,f70(a61,a61))+~P22(x8644,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [808]~P22(x8081,x8085,x8083)+~P16(x8085,x8084,x8083)+E(x8081,x8082)+~P22(x8082,x8085,x8083)+P22(f52(x8081,x8082,x8083,x8083),x8084,f70(x8083,x8083))+P22(f52(x8082,x8081,x8083,x8083),x8084,f70(x8083,x8083)) % 0.65/1.02 [861]E(x8611,x8612)+E(x8613,x8611)+E(x8614,x8611)+~P22(f52(x8614,x8613,a61,a61),f41(x8615,x8612,x8611),f70(a61,a61))+P22(f52(x8614,x8613,a61,a61),x8615,f70(a61,a61))+~P22(x8615,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [862]E(x8621,x8622)+E(x8623,x8621)+E(x8624,x8621)+~P22(f52(x8624,x8623,a61,a61),f42(x8625,x8621,x8622),f70(a61,a61))+P22(f52(x8624,x8623,a61,a61),x8625,f70(a61,a61))+~P22(x8625,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [850]E(x8504,x8503)+E(x8501,x8502)+E(x8503,x8502)+E(x8504,x8502)+~P22(f52(x8504,x8503,a61,a61),x8505,f70(a61,a61))+P22(f52(x8504,x8503,a61,a61),f41(x8505,x8501,x8502),f70(a61,a61))+~P22(x8505,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [851]E(x8514,x8513)+E(x8511,x8512)+E(x8513,x8511)+E(x8514,x8511)+~P22(f52(x8514,x8513,a61,a61),x8515,f70(a61,a61))+P22(f52(x8514,x8513,a61,a61),f42(x8515,x8511,x8512),f70(a61,a61))+~P22(x8515,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [915]E(x9151,x9152)+E(x9153,x9152)+E(x9154,x9153)+~P22(f52(x9154,x9153,a61,a61),x9155,f70(a61,a61))+~P22(f52(x9151,x9153,a61,a61),x9155,f70(a61,a61))+P22(f52(x9154,x9153,a61,a61),f41(x9155,x9151,x9152),f70(a61,a61))+~P22(x9155,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [916]E(x9161,x9162)+E(x9163,x9161)+E(x9164,x9163)+~P22(f52(x9164,x9163,a61,a61),x9165,f70(a61,a61))+~P22(f52(x9162,x9163,a61,a61),x9165,f70(a61,a61))+P22(f52(x9164,x9163,a61,a61),f42(x9165,x9161,x9162),f70(a61,a61))+~P22(x9165,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [917]E(x9171,x9172)+E(x9173,x9172)+E(x9173,x9174)+~P22(f52(x9173,x9174,a61,a61),x9175,f70(a61,a61))+~P22(f52(x9173,x9171,a61,a61),x9175,f70(a61,a61))+P22(f52(x9173,x9174,a61,a61),f41(x9175,x9171,x9172),f70(a61,a61))+~P22(x9175,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [918]E(x9181,x9182)+E(x9183,x9181)+E(x9183,x9184)+~P22(f52(x9183,x9184,a61,a61),x9185,f70(a61,a61))+~P22(f52(x9183,x9182,a61,a61),x9185,f70(a61,a61))+P22(f52(x9183,x9184,a61,a61),f42(x9185,x9181,x9182),f70(a61,a61))+~P22(x9185,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [937]E(x9371,x9372)+E(x9373,x9374)+~P22(f52(x9373,x9374,a61,a61),x9375,f70(a61,a61))+~P22(f52(x9371,x9374,a61,a61),x9375,f70(a61,a61))+~P22(f52(x9373,x9371,a61,a61),x9375,f70(a61,a61))+P22(f52(x9373,x9374,a61,a61),f41(x9375,x9371,x9372),f70(a61,a61))+~P22(x9375,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [938]E(x9381,x9382)+E(x9383,x9384)+~P22(f52(x9383,x9384,a61,a61),x9385,f70(a61,a61))+~P22(f52(x9382,x9384,a61,a61),x9385,f70(a61,a61))+~P22(f52(x9383,x9382,a61,a61),x9385,f70(a61,a61))+P22(f52(x9383,x9384,a61,a61),f42(x9385,x9381,x9382),f70(a61,a61))+~P22(x9385,a5,f68(f70(a61,a61),a1)) % 0.65/1.02 [852]E(x8521,x8522)+~P22(x8523,x8522,x8524)+~P22(x8525,x8521,x8524)+~P7(x8526,x8527,x8524)+~P22(f52(x8525,x8523,x8524,x8524),x8527,f70(x8524,x8524))+~P22(x8521,f45(x8526,x8527,x8524),f68(x8524,a1))+~P22(x8522,f45(x8526,x8527,x8524),f68(x8524,a1)) % 0.65/1.02 %EqnAxiom % 0.65/1.02 [1]E(x11,x11) % 0.65/1.02 [2]E(x22,x21)+~E(x21,x22) % 0.65/1.02 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.65/1.02 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43)) % 0.65/1.02 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52)) % 0.65/1.02 [6]~E(x61,x62)+E(f54(x61,x63),f54(x62,x63)) % 0.65/1.02 [7]~E(x71,x72)+E(f54(x73,x71),f54(x73,x72)) % 0.65/1.02 [8]~E(x81,x82)+E(f70(x81,x83),f70(x82,x83)) % 0.65/1.02 [9]~E(x91,x92)+E(f70(x93,x91),f70(x93,x92)) % 0.65/1.02 [10]~E(x101,x102)+E(f60(x101,x103,x104,x105,x106),f60(x102,x103,x104,x105,x106)) % 0.65/1.02 [11]~E(x111,x112)+E(f60(x113,x111,x114,x115,x116),f60(x113,x112,x114,x115,x116)) % 0.65/1.02 [12]~E(x121,x122)+E(f60(x123,x124,x121,x125,x126),f60(x123,x124,x122,x125,x126)) % 0.65/1.02 [13]~E(x131,x132)+E(f60(x133,x134,x135,x131,x136),f60(x133,x134,x135,x132,x136)) % 0.65/1.02 [14]~E(x141,x142)+E(f60(x143,x144,x145,x146,x141),f60(x143,x144,x145,x146,x142)) % 0.65/1.02 [15]~E(x151,x152)+E(f53(x151,x153,x154,x155,x156),f53(x152,x153,x154,x155,x156)) % 0.65/1.02 [16]~E(x161,x162)+E(f53(x163,x161,x164,x165,x166),f53(x163,x162,x164,x165,x166)) % 0.65/1.02 [17]~E(x171,x172)+E(f53(x173,x174,x171,x175,x176),f53(x173,x174,x172,x175,x176)) % 0.65/1.02 [18]~E(x181,x182)+E(f53(x183,x184,x185,x181,x186),f53(x183,x184,x185,x182,x186)) % 0.65/1.02 [19]~E(x191,x192)+E(f53(x193,x194,x195,x196,x191),f53(x193,x194,x195,x196,x192)) % 0.65/1.02 [20]~E(x201,x202)+E(f51(x201,x203,x204,x205),f51(x202,x203,x204,x205)) % 0.65/1.02 [21]~E(x211,x212)+E(f51(x213,x211,x214,x215),f51(x213,x212,x214,x215)) % 0.65/1.02 [22]~E(x221,x222)+E(f51(x223,x224,x221,x225),f51(x223,x224,x222,x225)) % 0.65/1.02 [23]~E(x231,x232)+E(f51(x233,x234,x235,x231),f51(x233,x234,x235,x232)) % 0.65/1.02 [24]~E(x241,x242)+E(f46(x241,x243,x244),f46(x242,x243,x244)) % 0.65/1.02 [25]~E(x251,x252)+E(f46(x253,x251,x254),f46(x253,x252,x254)) % 0.65/1.02 [26]~E(x261,x262)+E(f46(x263,x264,x261),f46(x263,x264,x262)) % 0.65/1.02 [27]~E(x271,x272)+E(f68(x271,x273),f68(x272,x273)) % 0.65/1.02 [28]~E(x281,x282)+E(f68(x283,x281),f68(x283,x282)) % 0.65/1.02 [29]~E(x291,x292)+E(f76(x291,x293,x294),f76(x292,x293,x294)) % 0.65/1.02 [30]~E(x301,x302)+E(f76(x303,x301,x304),f76(x303,x302,x304)) % 0.65/1.02 [31]~E(x311,x312)+E(f76(x313,x314,x311),f76(x313,x314,x312)) % 0.65/1.02 [32]~E(x321,x322)+E(f55(x321,x323,x324),f55(x322,x323,x324)) % 0.65/1.02 [33]~E(x331,x332)+E(f55(x333,x331,x334),f55(x333,x332,x334)) % 0.65/1.02 [34]~E(x341,x342)+E(f55(x343,x344,x341),f55(x343,x344,x342)) % 0.65/1.02 [35]~E(x351,x352)+E(f3(x351,x353,x354),f3(x352,x353,x354)) % 0.65/1.02 [36]~E(x361,x362)+E(f3(x363,x361,x364),f3(x363,x362,x364)) % 0.65/1.02 [37]~E(x371,x372)+E(f3(x373,x374,x371),f3(x373,x374,x372)) % 0.65/1.02 [38]~E(x381,x382)+E(f56(x381,x383,x384,x385),f56(x382,x383,x384,x385)) % 0.65/1.02 [39]~E(x391,x392)+E(f56(x393,x391,x394,x395),f56(x393,x392,x394,x395)) % 0.65/1.02 [40]~E(x401,x402)+E(f56(x403,x404,x401,x405),f56(x403,x404,x402,x405)) % 0.65/1.02 [41]~E(x411,x412)+E(f56(x413,x414,x415,x411),f56(x413,x414,x415,x412)) % 0.65/1.02 [42]~E(x421,x422)+E(f52(x421,x423,x424,x425),f52(x422,x423,x424,x425)) % 0.65/1.02 [43]~E(x431,x432)+E(f52(x433,x431,x434,x435),f52(x433,x432,x434,x435)) % 0.65/1.02 [44]~E(x441,x442)+E(f52(x443,x444,x441,x445),f52(x443,x444,x442,x445)) % 0.65/1.02 [45]~E(x451,x452)+E(f52(x453,x454,x455,x451),f52(x453,x454,x455,x452)) % 0.65/1.02 [46]~E(x461,x462)+E(f75(x461,x463),f75(x462,x463)) % 0.65/1.02 [47]~E(x471,x472)+E(f75(x473,x471),f75(x473,x472)) % 0.65/1.02 [48]~E(x481,x482)+E(f62(x481,x483),f62(x482,x483)) % 0.65/1.02 [49]~E(x491,x492)+E(f62(x493,x491),f62(x493,x492)) % 0.65/1.02 [50]~E(x501,x502)+E(f63(x501,x503),f63(x502,x503)) % 0.65/1.02 [51]~E(x511,x512)+E(f63(x513,x511),f63(x513,x512)) % 0.65/1.02 [52]~E(x521,x522)+E(f58(x521,x523,x524,x525),f58(x522,x523,x524,x525)) % 0.65/1.02 [53]~E(x531,x532)+E(f58(x533,x531,x534,x535),f58(x533,x532,x534,x535)) % 0.65/1.02 [54]~E(x541,x542)+E(f58(x543,x544,x541,x545),f58(x543,x544,x542,x545)) % 0.65/1.02 [55]~E(x551,x552)+E(f58(x553,x554,x555,x551),f58(x553,x554,x555,x552)) % 0.65/1.02 [56]~E(x561,x562)+E(f22(x561,x563,x564,x565,x566,x567,x568),f22(x562,x563,x564,x565,x566,x567,x568)) % 0.65/1.02 [57]~E(x571,x572)+E(f22(x573,x571,x574,x575,x576,x577,x578),f22(x573,x572,x574,x575,x576,x577,x578)) % 0.65/1.02 [58]~E(x581,x582)+E(f22(x583,x584,x581,x585,x586,x587,x588),f22(x583,x584,x582,x585,x586,x587,x588)) % 0.65/1.02 [59]~E(x591,x592)+E(f22(x593,x594,x595,x591,x596,x597,x598),f22(x593,x594,x595,x592,x596,x597,x598)) % 0.65/1.02 [60]~E(x601,x602)+E(f22(x603,x604,x605,x606,x601,x607,x608),f22(x603,x604,x605,x606,x602,x607,x608)) % 0.65/1.02 [61]~E(x611,x612)+E(f22(x613,x614,x615,x616,x617,x611,x618),f22(x613,x614,x615,x616,x617,x612,x618)) % 0.65/1.02 [62]~E(x621,x622)+E(f22(x623,x624,x625,x626,x627,x628,x621),f22(x623,x624,x625,x626,x627,x628,x622)) % 0.65/1.02 [63]~E(x631,x632)+E(f47(x631),f47(x632)) % 0.65/1.02 [64]~E(x641,x642)+E(f4(x641,x643,x644),f4(x642,x643,x644)) % 0.65/1.02 [65]~E(x651,x652)+E(f4(x653,x651,x654),f4(x653,x652,x654)) % 0.65/1.02 [66]~E(x661,x662)+E(f4(x663,x664,x661),f4(x663,x664,x662)) % 0.65/1.02 [67]~E(x671,x672)+E(f57(x671,x673,x674),f57(x672,x673,x674)) % 0.65/1.02 [68]~E(x681,x682)+E(f57(x683,x681,x684),f57(x683,x682,x684)) % 0.65/1.02 [69]~E(x691,x692)+E(f57(x693,x694,x691),f57(x693,x694,x692)) % 0.65/1.02 [70]~E(x701,x702)+E(f66(x701,x703,x704,x705),f66(x702,x703,x704,x705)) % 0.65/1.02 [71]~E(x711,x712)+E(f66(x713,x711,x714,x715),f66(x713,x712,x714,x715)) % 0.65/1.02 [72]~E(x721,x722)+E(f66(x723,x724,x721,x725),f66(x723,x724,x722,x725)) % 0.65/1.02 [73]~E(x731,x732)+E(f66(x733,x734,x735,x731),f66(x733,x734,x735,x732)) % 0.65/1.02 [74]~E(x741,x742)+E(f44(x741,x743,x744),f44(x742,x743,x744)) % 0.65/1.02 [75]~E(x751,x752)+E(f44(x753,x751,x754),f44(x753,x752,x754)) % 0.65/1.02 [76]~E(x761,x762)+E(f44(x763,x764,x761),f44(x763,x764,x762)) % 0.65/1.02 [77]~E(x771,x772)+E(f73(x771,x773),f73(x772,x773)) % 0.65/1.02 [78]~E(x781,x782)+E(f73(x783,x781),f73(x783,x782)) % 0.65/1.02 [79]~E(x791,x792)+E(f64(x791,x793),f64(x792,x793)) % 0.65/1.02 [80]~E(x801,x802)+E(f64(x803,x801),f64(x803,x802)) % 0.65/1.02 [81]~E(x811,x812)+E(f49(x811,x813,x814,x815,x816,x817),f49(x812,x813,x814,x815,x816,x817)) % 0.65/1.02 [82]~E(x821,x822)+E(f49(x823,x821,x824,x825,x826,x827),f49(x823,x822,x824,x825,x826,x827)) % 0.65/1.02 [83]~E(x831,x832)+E(f49(x833,x834,x831,x835,x836,x837),f49(x833,x834,x832,x835,x836,x837)) % 0.65/1.02 [84]~E(x841,x842)+E(f49(x843,x844,x845,x841,x846,x847),f49(x843,x844,x845,x842,x846,x847)) % 0.65/1.02 [85]~E(x851,x852)+E(f49(x853,x854,x855,x856,x851,x857),f49(x853,x854,x855,x856,x852,x857)) % 0.65/1.02 [86]~E(x861,x862)+E(f49(x863,x864,x865,x866,x867,x861),f49(x863,x864,x865,x866,x867,x862)) % 0.65/1.02 [87]~E(x871,x872)+E(f39(x871,x873,x874),f39(x872,x873,x874)) % 0.65/1.02 [88]~E(x881,x882)+E(f39(x883,x881,x884),f39(x883,x882,x884)) % 0.65/1.02 [89]~E(x891,x892)+E(f39(x893,x894,x891),f39(x893,x894,x892)) % 0.65/1.02 [90]~E(x901,x902)+E(f36(x901,x903,x904),f36(x902,x903,x904)) % 0.65/1.02 [91]~E(x911,x912)+E(f36(x913,x911,x914),f36(x913,x912,x914)) % 0.65/1.02 [92]~E(x921,x922)+E(f36(x923,x924,x921),f36(x923,x924,x922)) % 0.65/1.02 [93]~E(x931,x932)+E(f45(x931,x933,x934),f45(x932,x933,x934)) % 0.65/1.02 [94]~E(x941,x942)+E(f45(x943,x941,x944),f45(x943,x942,x944)) % 0.65/1.02 [95]~E(x951,x952)+E(f45(x953,x954,x951),f45(x953,x954,x952)) % 0.65/1.02 [96]~E(x961,x962)+E(f41(x961,x963,x964),f41(x962,x963,x964)) % 0.65/1.02 [97]~E(x971,x972)+E(f41(x973,x971,x974),f41(x973,x972,x974)) % 0.65/1.02 [98]~E(x981,x982)+E(f41(x983,x984,x981),f41(x983,x984,x982)) % 0.65/1.02 [99]~E(x991,x992)+E(f74(x991,x993),f74(x992,x993)) % 0.65/1.02 [100]~E(x1001,x1002)+E(f74(x1003,x1001),f74(x1003,x1002)) % 0.65/1.02 [101]~E(x1011,x1012)+E(f59(x1011,x1013,x1014,x1015),f59(x1012,x1013,x1014,x1015)) % 0.65/1.02 [102]~E(x1021,x1022)+E(f59(x1023,x1021,x1024,x1025),f59(x1023,x1022,x1024,x1025)) % 0.65/1.02 [103]~E(x1031,x1032)+E(f59(x1033,x1034,x1031,x1035),f59(x1033,x1034,x1032,x1035)) % 0.65/1.02 [104]~E(x1041,x1042)+E(f59(x1043,x1044,x1045,x1041),f59(x1043,x1044,x1045,x1042)) % 0.65/1.02 [105]~E(x1051,x1052)+E(f13(x1051,x1053,x1054),f13(x1052,x1053,x1054)) % 0.65/1.02 [106]~E(x1061,x1062)+E(f13(x1063,x1061,x1064),f13(x1063,x1062,x1064)) % 0.65/1.02 [107]~E(x1071,x1072)+E(f13(x1073,x1074,x1071),f13(x1073,x1074,x1072)) % 0.65/1.02 [108]~E(x1081,x1082)+E(f33(x1081,x1083,x1084),f33(x1082,x1083,x1084)) % 0.65/1.02 [109]~E(x1091,x1092)+E(f33(x1093,x1091,x1094),f33(x1093,x1092,x1094)) % 0.65/1.02 [110]~E(x1101,x1102)+E(f33(x1103,x1104,x1101),f33(x1103,x1104,x1102)) % 0.65/1.02 [111]~E(x1111,x1112)+E(f18(x1111,x1113,x1114,x1115,x1116),f18(x1112,x1113,x1114,x1115,x1116)) % 0.65/1.02 [112]~E(x1121,x1122)+E(f18(x1123,x1121,x1124,x1125,x1126),f18(x1123,x1122,x1124,x1125,x1126)) % 0.65/1.02 [113]~E(x1131,x1132)+E(f18(x1133,x1134,x1131,x1135,x1136),f18(x1133,x1134,x1132,x1135,x1136)) % 0.65/1.02 [114]~E(x1141,x1142)+E(f18(x1143,x1144,x1145,x1141,x1146),f18(x1143,x1144,x1145,x1142,x1146)) % 0.65/1.02 [115]~E(x1151,x1152)+E(f18(x1153,x1154,x1155,x1156,x1151),f18(x1153,x1154,x1155,x1156,x1152)) % 0.65/1.02 [116]~E(x1161,x1162)+E(f35(x1161,x1163,x1164),f35(x1162,x1163,x1164)) % 0.65/1.02 [117]~E(x1171,x1172)+E(f35(x1173,x1171,x1174),f35(x1173,x1172,x1174)) % 0.65/1.02 [118]~E(x1181,x1182)+E(f35(x1183,x1184,x1181),f35(x1183,x1184,x1182)) % 0.65/1.02 [119]~E(x1191,x1192)+E(f28(x1191,x1193,x1194,x1195),f28(x1192,x1193,x1194,x1195)) % 0.65/1.02 [120]~E(x1201,x1202)+E(f28(x1203,x1201,x1204,x1205),f28(x1203,x1202,x1204,x1205)) % 0.65/1.02 [121]~E(x1211,x1212)+E(f28(x1213,x1214,x1211,x1215),f28(x1213,x1214,x1212,x1215)) % 0.65/1.02 [122]~E(x1221,x1222)+E(f28(x1223,x1224,x1225,x1221),f28(x1223,x1224,x1225,x1222)) % 0.65/1.02 [123]~E(x1231,x1232)+E(f65(x1231,x1233),f65(x1232,x1233)) % 0.65/1.02 [124]~E(x1241,x1242)+E(f65(x1243,x1241),f65(x1243,x1242)) % 0.65/1.02 [125]~E(x1251,x1252)+E(f20(x1251,x1253,x1254,x1255),f20(x1252,x1253,x1254,x1255)) % 0.65/1.02 [126]~E(x1261,x1262)+E(f20(x1263,x1261,x1264,x1265),f20(x1263,x1262,x1264,x1265)) % 0.65/1.02 [127]~E(x1271,x1272)+E(f20(x1273,x1274,x1271,x1275),f20(x1273,x1274,x1272,x1275)) % 0.65/1.02 [128]~E(x1281,x1282)+E(f20(x1283,x1284,x1285,x1281),f20(x1283,x1284,x1285,x1282)) % 0.65/1.02 [129]~E(x1291,x1292)+E(f42(x1291,x1293,x1294),f42(x1292,x1293,x1294)) % 0.65/1.02 [130]~E(x1301,x1302)+E(f42(x1303,x1301,x1304),f42(x1303,x1302,x1304)) % 0.65/1.02 [131]~E(x1311,x1312)+E(f42(x1313,x1314,x1311),f42(x1313,x1314,x1312)) % 0.65/1.02 [132]~E(x1321,x1322)+E(f9(x1321,x1323),f9(x1322,x1323)) % 0.65/1.02 [133]~E(x1331,x1332)+E(f9(x1333,x1331),f9(x1333,x1332)) % 0.65/1.02 [134]~E(x1341,x1342)+E(f37(x1341,x1343,x1344),f37(x1342,x1343,x1344)) % 0.65/1.02 [135]~E(x1351,x1352)+E(f37(x1353,x1351,x1354),f37(x1353,x1352,x1354)) % 0.65/1.02 [136]~E(x1361,x1362)+E(f37(x1363,x1364,x1361),f37(x1363,x1364,x1362)) % 0.65/1.02 [137]~E(x1371,x1372)+E(f15(x1371,x1373),f15(x1372,x1373)) % 0.65/1.02 [138]~E(x1381,x1382)+E(f15(x1383,x1381),f15(x1383,x1382)) % 0.65/1.02 [139]~E(x1391,x1392)+E(f8(x1391,x1393,x1394),f8(x1392,x1393,x1394)) % 0.65/1.02 [140]~E(x1401,x1402)+E(f8(x1403,x1401,x1404),f8(x1403,x1402,x1404)) % 0.65/1.02 [141]~E(x1411,x1412)+E(f8(x1413,x1414,x1411),f8(x1413,x1414,x1412)) % 0.65/1.02 [142]~E(x1421,x1422)+E(f40(x1421,x1423),f40(x1422,x1423)) % 0.65/1.02 [143]~E(x1431,x1432)+E(f40(x1433,x1431),f40(x1433,x1432)) % 0.65/1.02 [144]~E(x1441,x1442)+E(f50(x1441,x1443),f50(x1442,x1443)) % 0.65/1.02 [145]~E(x1451,x1452)+E(f50(x1453,x1451),f50(x1453,x1452)) % 0.65/1.02 [146]~E(x1461,x1462)+E(f43(x1461,x1463),f43(x1462,x1463)) % 0.65/1.02 [147]~E(x1471,x1472)+E(f43(x1473,x1471),f43(x1473,x1472)) % 0.65/1.02 [148]~E(x1481,x1482)+E(f16(x1481,x1483,x1484,x1485),f16(x1482,x1483,x1484,x1485)) % 0.65/1.02 [149]~E(x1491,x1492)+E(f16(x1493,x1491,x1494,x1495),f16(x1493,x1492,x1494,x1495)) % 0.65/1.02 [150]~E(x1501,x1502)+E(f16(x1503,x1504,x1501,x1505),f16(x1503,x1504,x1502,x1505)) % 0.65/1.02 [151]~E(x1511,x1512)+E(f16(x1513,x1514,x1515,x1511),f16(x1513,x1514,x1515,x1512)) % 0.65/1.02 [152]~E(x1521,x1522)+E(f32(x1521,x1523,x1524),f32(x1522,x1523,x1524)) % 0.65/1.02 [153]~E(x1531,x1532)+E(f32(x1533,x1531,x1534),f32(x1533,x1532,x1534)) % 0.65/1.02 [154]~E(x1541,x1542)+E(f32(x1543,x1544,x1541),f32(x1543,x1544,x1542)) % 0.65/1.02 [155]~E(x1551,x1552)+E(f31(x1551,x1553,x1554,x1555),f31(x1552,x1553,x1554,x1555)) % 0.65/1.02 [156]~E(x1561,x1562)+E(f31(x1563,x1561,x1564,x1565),f31(x1563,x1562,x1564,x1565)) % 0.65/1.02 [157]~E(x1571,x1572)+E(f31(x1573,x1574,x1571,x1575),f31(x1573,x1574,x1572,x1575)) % 0.65/1.02 [158]~E(x1581,x1582)+E(f31(x1583,x1584,x1585,x1581),f31(x1583,x1584,x1585,x1582)) % 0.65/1.02 [159]~E(x1591,x1592)+E(f26(x1591,x1593),f26(x1592,x1593)) % 0.65/1.02 [160]~E(x1601,x1602)+E(f26(x1603,x1601),f26(x1603,x1602)) % 0.65/1.02 [161]~E(x1611,x1612)+E(f29(x1611,x1613,x1614,x1615),f29(x1612,x1613,x1614,x1615)) % 0.65/1.02 [162]~E(x1621,x1622)+E(f29(x1623,x1621,x1624,x1625),f29(x1623,x1622,x1624,x1625)) % 0.65/1.02 [163]~E(x1631,x1632)+E(f29(x1633,x1634,x1631,x1635),f29(x1633,x1634,x1632,x1635)) % 0.65/1.02 [164]~E(x1641,x1642)+E(f29(x1643,x1644,x1645,x1641),f29(x1643,x1644,x1645,x1642)) % 0.65/1.02 [165]~E(x1651,x1652)+E(f30(x1651,x1653,x1654,x1655),f30(x1652,x1653,x1654,x1655)) % 0.65/1.02 [166]~E(x1661,x1662)+E(f30(x1663,x1661,x1664,x1665),f30(x1663,x1662,x1664,x1665)) % 0.65/1.02 [167]~E(x1671,x1672)+E(f30(x1673,x1674,x1671,x1675),f30(x1673,x1674,x1672,x1675)) % 0.65/1.02 [168]~E(x1681,x1682)+E(f30(x1683,x1684,x1685,x1681),f30(x1683,x1684,x1685,x1682)) % 0.65/1.02 [169]~E(x1691,x1692)+E(f12(x1691,x1693,x1694,x1695),f12(x1692,x1693,x1694,x1695)) % 0.65/1.02 [170]~E(x1701,x1702)+E(f12(x1703,x1701,x1704,x1705),f12(x1703,x1702,x1704,x1705)) % 0.65/1.02 [171]~E(x1711,x1712)+E(f12(x1713,x1714,x1711,x1715),f12(x1713,x1714,x1712,x1715)) % 0.65/1.02 [172]~E(x1721,x1722)+E(f12(x1723,x1724,x1725,x1721),f12(x1723,x1724,x1725,x1722)) % 0.65/1.02 [173]~E(x1731,x1732)+E(f17(x1731,x1733,x1734,x1735,x1736),f17(x1732,x1733,x1734,x1735,x1736)) % 0.65/1.02 [174]~E(x1741,x1742)+E(f17(x1743,x1741,x1744,x1745,x1746),f17(x1743,x1742,x1744,x1745,x1746)) % 0.65/1.02 [175]~E(x1751,x1752)+E(f17(x1753,x1754,x1751,x1755,x1756),f17(x1753,x1754,x1752,x1755,x1756)) % 0.65/1.02 [176]~E(x1761,x1762)+E(f17(x1763,x1764,x1765,x1761,x1766),f17(x1763,x1764,x1765,x1762,x1766)) % 0.65/1.02 [177]~E(x1771,x1772)+E(f17(x1773,x1774,x1775,x1776,x1771),f17(x1773,x1774,x1775,x1776,x1772)) % 0.65/1.02 [178]~E(x1781,x1782)+E(f25(x1781,x1783,x1784,x1785),f25(x1782,x1783,x1784,x1785)) % 0.65/1.02 [179]~E(x1791,x1792)+E(f25(x1793,x1791,x1794,x1795),f25(x1793,x1792,x1794,x1795)) % 0.65/1.02 [180]~E(x1801,x1802)+E(f25(x1803,x1804,x1801,x1805),f25(x1803,x1804,x1802,x1805)) % 0.65/1.02 [181]~E(x1811,x1812)+E(f25(x1813,x1814,x1815,x1811),f25(x1813,x1814,x1815,x1812)) % 0.65/1.02 [182]~E(x1821,x1822)+E(f23(x1821,x1823,x1824,x1825),f23(x1822,x1823,x1824,x1825)) % 0.65/1.02 [183]~E(x1831,x1832)+E(f23(x1833,x1831,x1834,x1835),f23(x1833,x1832,x1834,x1835)) % 0.65/1.02 [184]~E(x1841,x1842)+E(f23(x1843,x1844,x1841,x1845),f23(x1843,x1844,x1842,x1845)) % 0.65/1.02 [185]~E(x1851,x1852)+E(f23(x1853,x1854,x1855,x1851),f23(x1853,x1854,x1855,x1852)) % 0.65/1.02 [186]~E(x1861,x1862)+E(f14(x1861,x1863,x1864),f14(x1862,x1863,x1864)) % 0.65/1.02 [187]~E(x1871,x1872)+E(f14(x1873,x1871,x1874),f14(x1873,x1872,x1874)) % 0.65/1.02 [188]~E(x1881,x1882)+E(f14(x1883,x1884,x1881),f14(x1883,x1884,x1882)) % 0.65/1.02 [189]~E(x1891,x1892)+E(f24(x1891,x1893,x1894,x1895),f24(x1892,x1893,x1894,x1895)) % 0.65/1.02 [190]~E(x1901,x1902)+E(f24(x1903,x1901,x1904,x1905),f24(x1903,x1902,x1904,x1905)) % 0.65/1.02 [191]~E(x1911,x1912)+E(f24(x1913,x1914,x1911,x1915),f24(x1913,x1914,x1912,x1915)) % 0.65/1.02 [192]~E(x1921,x1922)+E(f24(x1923,x1924,x1925,x1921),f24(x1923,x1924,x1925,x1922)) % 0.65/1.02 [193]~E(x1931,x1932)+E(f10(x1931,x1933,x1934,x1935),f10(x1932,x1933,x1934,x1935)) % 0.65/1.02 [194]~E(x1941,x1942)+E(f10(x1943,x1941,x1944,x1945),f10(x1943,x1942,x1944,x1945)) % 0.65/1.02 [195]~E(x1951,x1952)+E(f10(x1953,x1954,x1951,x1955),f10(x1953,x1954,x1952,x1955)) % 0.65/1.02 [196]~E(x1961,x1962)+E(f10(x1963,x1964,x1965,x1961),f10(x1963,x1964,x1965,x1962)) % 0.65/1.02 [197]~E(x1971,x1972)+E(f21(x1971,x1973,x1974,x1975),f21(x1972,x1973,x1974,x1975)) % 0.65/1.02 [198]~E(x1981,x1982)+E(f21(x1983,x1981,x1984,x1985),f21(x1983,x1982,x1984,x1985)) % 0.65/1.02 [199]~E(x1991,x1992)+E(f21(x1993,x1994,x1991,x1995),f21(x1993,x1994,x1992,x1995)) % 0.65/1.02 [200]~E(x2001,x2002)+E(f21(x2003,x2004,x2005,x2001),f21(x2003,x2004,x2005,x2002)) % 0.65/1.02 [201]~E(x2011,x2012)+E(f19(x2011,x2013,x2014,x2015),f19(x2012,x2013,x2014,x2015)) % 0.65/1.02 [202]~E(x2021,x2022)+E(f19(x2023,x2021,x2024,x2025),f19(x2023,x2022,x2024,x2025)) % 0.65/1.02 [203]~E(x2031,x2032)+E(f19(x2033,x2034,x2031,x2035),f19(x2033,x2034,x2032,x2035)) % 0.65/1.02 [204]~E(x2041,x2042)+E(f19(x2043,x2044,x2045,x2041),f19(x2043,x2044,x2045,x2042)) % 0.65/1.02 [205]~E(x2051,x2052)+E(f27(x2051,x2053,x2054,x2055),f27(x2052,x2053,x2054,x2055)) % 0.65/1.02 [206]~E(x2061,x2062)+E(f27(x2063,x2061,x2064,x2065),f27(x2063,x2062,x2064,x2065)) % 0.65/1.02 [207]~E(x2071,x2072)+E(f27(x2073,x2074,x2071,x2075),f27(x2073,x2074,x2072,x2075)) % 0.65/1.02 [208]~E(x2081,x2082)+E(f27(x2083,x2084,x2085,x2081),f27(x2083,x2084,x2085,x2082)) % 0.65/1.02 [209]~E(x2091,x2092)+E(f7(x2091,x2093),f7(x2092,x2093)) % 0.65/1.02 [210]~E(x2101,x2102)+E(f7(x2103,x2101),f7(x2103,x2102)) % 0.65/1.02 [211]~E(x2111,x2112)+E(f48(x2111,x2113,x2114),f48(x2112,x2113,x2114)) % 0.65/1.02 [212]~E(x2121,x2122)+E(f48(x2123,x2121,x2124),f48(x2123,x2122,x2124)) % 0.65/1.02 [213]~E(x2131,x2132)+E(f48(x2133,x2134,x2131),f48(x2133,x2134,x2132)) % 0.65/1.02 [214]~E(x2141,x2142)+E(f38(x2141,x2143,x2144),f38(x2142,x2143,x2144)) % 0.65/1.02 [215]~E(x2151,x2152)+E(f38(x2153,x2151,x2154),f38(x2153,x2152,x2154)) % 0.65/1.02 [216]~E(x2161,x2162)+E(f38(x2163,x2164,x2161),f38(x2163,x2164,x2162)) % 0.65/1.02 [217]~E(x2171,x2172)+E(f6(x2171,x2173),f6(x2172,x2173)) % 0.65/1.02 [218]~E(x2181,x2182)+E(f6(x2183,x2181),f6(x2183,x2182)) % 0.65/1.02 [219]~E(x2191,x2192)+E(f34(x2191,x2193,x2194),f34(x2192,x2193,x2194)) % 0.65/1.02 [220]~E(x2201,x2202)+E(f34(x2203,x2201,x2204),f34(x2203,x2202,x2204)) % 0.65/1.02 [221]~E(x2211,x2212)+E(f34(x2213,x2214,x2211),f34(x2213,x2214,x2212)) % 0.65/1.02 [222]~E(x2221,x2222)+E(f11(x2221,x2223,x2224,x2225,x2226),f11(x2222,x2223,x2224,x2225,x2226)) % 0.65/1.02 [223]~E(x2231,x2232)+E(f11(x2233,x2231,x2234,x2235,x2236),f11(x2233,x2232,x2234,x2235,x2236)) % 0.65/1.02 [224]~E(x2241,x2242)+E(f11(x2243,x2244,x2241,x2245,x2246),f11(x2243,x2244,x2242,x2245,x2246)) % 0.65/1.02 [225]~E(x2251,x2252)+E(f11(x2253,x2254,x2255,x2251,x2256),f11(x2253,x2254,x2255,x2252,x2256)) % 0.65/1.02 [226]~E(x2261,x2262)+E(f11(x2263,x2264,x2265,x2266,x2261),f11(x2263,x2264,x2265,x2266,x2262)) % 0.65/1.02 [227]~E(x2271,x2272)+E(f77(x2271,x2273,x2274),f77(x2272,x2273,x2274)) % 0.65/1.02 [228]~E(x2281,x2282)+E(f77(x2283,x2281,x2284),f77(x2283,x2282,x2284)) % 0.65/1.02 [229]~E(x2291,x2292)+E(f77(x2293,x2294,x2291),f77(x2293,x2294,x2292)) % 0.65/1.02 [230]~P1(x2301)+P1(x2302)+~E(x2301,x2302) % 0.65/1.02 [231]~P2(x2311)+P2(x2312)+~E(x2311,x2312) % 0.65/1.02 [232]~P23(x2321)+P23(x2322)+~E(x2321,x2322) % 0.65/1.02 [233]~P24(x2331)+P24(x2332)+~E(x2331,x2332) % 0.65/1.02 [234]~P25(x2341)+P25(x2342)+~E(x2341,x2342) % 0.65/1.02 [235]~P3(x2351)+P3(x2352)+~E(x2351,x2352) % 0.65/1.02 [236]~P28(x2361)+P28(x2362)+~E(x2361,x2362) % 0.65/1.02 [237]~P4(x2371)+P4(x2372)+~E(x2371,x2372) % 0.65/1.02 [238]~P30(x2381)+P30(x2382)+~E(x2381,x2382) % 0.65/1.02 [239]P5(x2392,x2393)+~E(x2391,x2392)+~P5(x2391,x2393) % 0.65/1.02 [240]P5(x2403,x2402)+~E(x2401,x2402)+~P5(x2403,x2401) % 0.65/1.02 [241]P15(x2412,x2413)+~E(x2411,x2412)+~P15(x2411,x2413) % 0.65/1.02 [242]P15(x2423,x2422)+~E(x2421,x2422)+~P15(x2423,x2421) % 0.65/1.02 [243]P22(x2432,x2433,x2434)+~E(x2431,x2432)+~P22(x2431,x2433,x2434) % 0.65/1.02 [244]P22(x2443,x2442,x2444)+~E(x2441,x2442)+~P22(x2443,x2441,x2444) % 0.65/1.02 [245]P22(x2453,x2454,x2452)+~E(x2451,x2452)+~P22(x2453,x2454,x2451) % 0.65/1.02 [246]P6(x2462,x2463)+~E(x2461,x2462)+~P6(x2461,x2463) % 0.65/1.02 [247]P6(x2473,x2472)+~E(x2471,x2472)+~P6(x2473,x2471) % 0.65/1.02 [248]P17(x2482,x2483,x2484)+~E(x2481,x2482)+~P17(x2481,x2483,x2484) % 0.65/1.02 [249]P17(x2493,x2492,x2494)+~E(x2491,x2492)+~P17(x2493,x2491,x2494) % 0.65/1.02 [250]P17(x2503,x2504,x2502)+~E(x2501,x2502)+~P17(x2503,x2504,x2501) % 0.65/1.02 [251]P21(x2512,x2513,x2514)+~E(x2511,x2512)+~P21(x2511,x2513,x2514) % 0.65/1.02 [252]P21(x2523,x2522,x2524)+~E(x2521,x2522)+~P21(x2523,x2521,x2524) % 0.65/1.02 [253]P21(x2533,x2534,x2532)+~E(x2531,x2532)+~P21(x2533,x2534,x2531) % 0.65/1.02 [254]~P31(x2541)+P31(x2542)+~E(x2541,x2542) % 0.65/1.02 [255]P12(x2552,x2553,x2554)+~E(x2551,x2552)+~P12(x2551,x2553,x2554) % 0.65/1.02 [256]P12(x2563,x2562,x2564)+~E(x2561,x2562)+~P12(x2563,x2561,x2564) % 0.65/1.02 [257]P12(x2573,x2574,x2572)+~E(x2571,x2572)+~P12(x2573,x2574,x2571) % 0.65/1.02 [258]P14(x2582,x2583,x2584)+~E(x2581,x2582)+~P14(x2581,x2583,x2584) % 0.65/1.02 [259]P14(x2593,x2592,x2594)+~E(x2591,x2592)+~P14(x2593,x2591,x2594) % 0.65/1.02 [260]P14(x2603,x2604,x2602)+~E(x2601,x2602)+~P14(x2603,x2604,x2601) % 0.65/1.02 [261]P16(x2612,x2613,x2614)+~E(x2611,x2612)+~P16(x2611,x2613,x2614) % 0.65/1.02 [262]P16(x2623,x2622,x2624)+~E(x2621,x2622)+~P16(x2623,x2621,x2624) % 0.65/1.02 [263]P16(x2633,x2634,x2632)+~E(x2631,x2632)+~P16(x2633,x2634,x2631) % 0.65/1.02 [264]P19(x2642,x2643)+~E(x2641,x2642)+~P19(x2641,x2643) % 0.65/1.02 [265]P19(x2653,x2652)+~E(x2651,x2652)+~P19(x2653,x2651) % 0.65/1.02 [266]P18(x2662,x2663)+~E(x2661,x2662)+~P18(x2661,x2663) % 0.65/1.02 [267]P18(x2673,x2672)+~E(x2671,x2672)+~P18(x2673,x2671) % 0.65/1.02 [268]P7(x2682,x2683,x2684)+~E(x2681,x2682)+~P7(x2681,x2683,x2684) % 0.65/1.02 [269]P7(x2693,x2692,x2694)+~E(x2691,x2692)+~P7(x2693,x2691,x2694) % 0.65/1.02 [270]P7(x2703,x2704,x2702)+~E(x2701,x2702)+~P7(x2703,x2704,x2701) % 0.65/1.02 [271]P8(x2712,x2713,x2714,x2715)+~E(x2711,x2712)+~P8(x2711,x2713,x2714,x2715) % 0.65/1.02 [272]P8(x2723,x2722,x2724,x2725)+~E(x2721,x2722)+~P8(x2723,x2721,x2724,x2725) % 0.65/1.02 [273]P8(x2733,x2734,x2732,x2735)+~E(x2731,x2732)+~P8(x2733,x2734,x2731,x2735) % 0.65/1.02 [274]P8(x2743,x2744,x2745,x2742)+~E(x2741,x2742)+~P8(x2743,x2744,x2745,x2741) % 0.65/1.02 [275]P13(x2752,x2753)+~E(x2751,x2752)+~P13(x2751,x2753) % 0.65/1.02 [276]P13(x2763,x2762)+~E(x2761,x2762)+~P13(x2763,x2761) % 0.65/1.02 [277]P11(x2772,x2773)+~E(x2771,x2772)+~P11(x2771,x2773) % 0.65/1.02 [278]P11(x2783,x2782)+~E(x2781,x2782)+~P11(x2783,x2781) % 0.65/1.02 [279]~P27(x2791)+P27(x2792)+~E(x2791,x2792) % 0.65/1.02 [280]P10(x2802,x2803,x2804)+~E(x2801,x2802)+~P10(x2801,x2803,x2804) % 0.65/1.02 [281]P10(x2813,x2812,x2814)+~E(x2811,x2812)+~P10(x2813,x2811,x2814) % 0.65/1.02 [282]P10(x2823,x2824,x2822)+~E(x2821,x2822)+~P10(x2823,x2824,x2821) % 0.65/1.02 [283]~P26(x2831)+P26(x2832)+~E(x2831,x2832) % 0.65/1.02 [284]~P29(x2841)+P29(x2842)+~E(x2841,x2842) % 0.65/1.02 [285]P9(x2852,x2853,x2854,x2855,x2856,x2857)+~E(x2851,x2852)+~P9(x2851,x2853,x2854,x2855,x2856,x2857) % 0.65/1.02 [286]P9(x2863,x2862,x2864,x2865,x2866,x2867)+~E(x2861,x2862)+~P9(x2863,x2861,x2864,x2865,x2866,x2867) % 0.65/1.02 [287]P9(x2873,x2874,x2872,x2875,x2876,x2877)+~E(x2871,x2872)+~P9(x2873,x2874,x2871,x2875,x2876,x2877) % 0.65/1.02 [288]P9(x2883,x2884,x2885,x2882,x2886,x2887)+~E(x2881,x2882)+~P9(x2883,x2884,x2885,x2881,x2886,x2887) % 0.65/1.02 [289]P9(x2893,x2894,x2895,x2896,x2892,x2897)+~E(x2891,x2892)+~P9(x2893,x2894,x2895,x2896,x2891,x2897) % 0.65/1.02 [290]P9(x2903,x2904,x2905,x2906,x2907,x2902)+~E(x2901,x2902)+~P9(x2903,x2904,x2905,x2906,x2907,x2901) % 0.65/1.02 [291]P20(x2912,x2913)+~E(x2911,x2912)+~P20(x2911,x2913) % 0.65/1.02 [292]P20(x2923,x2922)+~E(x2921,x2922)+~P20(x2923,x2921) % 0.65/1.02 % 0.65/1.02 %------------------------------------------- % 0.65/1.02 cnf(1013,plain, % 0.65/1.02 ($false), % 0.65/1.02 inference(scs_inference,[],[390,389,317,876]), % 0.65/1.02 ['proof']). % 0.65/1.02 % SZS output end Proof % 0.65/1.02 % Total time :0.050000s %------------------------------------------------------------------------------