%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SCT075-1 : 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 : n019.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 1.23s 1.25s % Output : CNFRefutation 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SCT075-1 : TPTP v8.2.0. Released v4.1.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sat Jun 22 10:32:23 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 1.14/1.21 %------------------------------------------- % 1.14/1.21 % File :CSE---1.7 % 1.14/1.21 % Problem :theBenchmark % 1.14/1.21 % Transform :cnf % 1.14/1.21 % Format :tptp:raw % 1.14/1.21 % Command :java -jar mcs_scs.jar %d %s % 1.14/1.21 % 1.14/1.21 % Result :Theorem 0.420000s % 1.14/1.21 % Output :CNFRefutation 0.420000s % 1.14/1.21 %------------------------------------------- % 1.14/1.21 %------------------------------------------------------------------------------ % 1.14/1.21 % File : SCT075-1 : TPTP v8.2.0. Released v4.1.0. % 1.14/1.21 % Domain : Social Choice Theory % 1.14/1.21 % Problem : Arrow Order 258_5 % 1.14/1.21 % Version : Especial. % 1.14/1.21 % English : Formalization of two proofs of Arrow's impossibility theorem. One % 1.14/1.21 % formalization is based on utility functions, the other one on % 1.14/1.21 % strict partial orders. % 1.14/1.21 % 1.14/1.21 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and % 1.14/1.21 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.14/1.21 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.14/1.21 % Source : [Nip10] % 1.14/1.21 % Names : Arrow_Order-258_56 [Nip10] % 1.14/1.21 % 1.14/1.21 % Status : Unsatisfiable % 1.14/1.21 % Rating : 0.10 v8.1.0, 0.11 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.60 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.50 v4.1.0 % 1.14/1.21 % Syntax : Number of clauses : 549 ( 125 unt; 83 nHn; 304 RR) % 1.14/1.21 % Number of literals : 1301 ( 258 equ; 628 neg) % 1.14/1.21 % Maximal clause size : 7 ( 2 avg) % 1.14/1.21 % Maximal term depth : 6 ( 1 avg) % 1.14/1.21 % Number of predicates : 24 ( 23 usr; 1 prp; 0-3 aty) % 1.14/1.21 % Number of functors : 76 ( 76 usr; 9 con; 0-7 aty) % 1.14/1.21 % Number of variables : 1970 ( 151 sgn) % 1.14/1.21 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.14/1.21 % 1.14/1.21 % Comments : % 1.14/1.21 %------------------------------------------------------------------------------ % 1.14/1.21 cnf(cls_trans__trancl_0,axiom, % 1.14/1.21 c_Relation_Otrans(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_sup__idem_0,axiom, % 1.14/1.21 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.21 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a) = V_x ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_Un__absorb_0,axiom, % 1.14/1.21 c_Lattices_Oupper__semilattice__class_Osup(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.14/1.21 % 1.14/1.21 cnf(cls_inf__sup__distrib2_0,axiom, % 1.14/1.21 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.14/1.21 | 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) ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_inf__sup__distrib1_0,axiom, % 1.14/1.21 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.14/1.21 | 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) ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_Int__Un__distrib_0,axiom, % 1.14/1.21 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)) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_Int__Un__distrib2_0,axiom, % 1.14/1.21 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)) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_Sigma__Int__distrib1_0,axiom, % 1.14/1.21 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)) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_image__subset__iff_0,axiom, % 1.14/1.21 ( c_in(hAPP(V_f,V_x),V_B,T_a) % 1.14/1.21 | ~ c_in(V_x,V_A,T_b) % 1.14/1.21 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_finite__surj_0,axiom, % 1.14/1.21 ( c_Finite__Set_Ofinite(V_B,T_b) % 1.14/1.21 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 1.14/1.21 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_insert__subset_1,axiom, % 1.14/1.21 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.21 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_subset__insertI2_0,axiom, % 1.14/1.21 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.14/1.21 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_rtrancl__reflcl_0,axiom, % 1.14/1.21 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) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_rtrancl__Un__subset_0,axiom, % 1.14/1.21 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)) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_Inf__insert_0,axiom, % 1.14/1.21 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.14/1.21 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_a,c_Complete__Lattice_OInf__class_OInf(V_A,T_a),T_a) ) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_Un__insert__left_0,axiom, % 1.14/1.21 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) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_Un__insert__right_0,axiom, % 1.14/1.21 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) ). % 1.14/1.21 % 1.14/1.21 cnf(cls_trans__rtrancl_0,axiom, % 1.14/1.21 c_Relation_Otrans(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) ). % 1.14/1.21 % 1.14/1.22 cnf(cls_trans__converse_0,axiom, % 1.14/1.22 ( c_Relation_Otrans(V_r,T_a) % 1.14/1.22 | ~ c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_trans__converse_1,axiom, % 1.14/1.22 ( c_Relation_Otrans(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.14/1.22 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Sup__insert_0,axiom, % 1.14/1.22 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.14/1.22 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_a,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_insert__inter__insert_0,axiom, % 1.14/1.22 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) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_insert__absorb2_0,axiom, % 1.14/1.22 c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_insert__code_0,axiom, % 1.14/1.22 ( hBOOL(hAPP(V_A,V_x)) % 1.14/1.22 | V_y = V_x % 1.14/1.22 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Domain__insert_0,axiom, % 1.14/1.22 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) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_sym__Un_0,axiom, % 1.14/1.22 ( 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) % 1.14/1.22 | ~ c_Relation_Osym(V_s,T_a) % 1.14/1.22 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__Image_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Image__Un_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_insert__commute_0,axiom, % 1.14/1.22 c_Set_Oinsert(V_x,c_Set_Oinsert(V_y,V_A,T_a),T_a) = c_Set_Oinsert(V_y,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_in__rtrancl__UnI_1,axiom, % 1.14/1.22 ( 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)) % 1.14/1.22 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_S,T_a),tc_prod(T_a,T_a)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_in__rtrancl__UnI_0,axiom, % 1.14/1.22 ( 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)) % 1.14/1.22 | ~ c_in(V_x,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_prod(T_a,T_a)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__left__commute_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__assoc_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_sup__assoc_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.22 | 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) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_sup__left__commute_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.22 | 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) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.22 | 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) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.22 | 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) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_rtrancl__reflcl__absorb_0,axiom, % 1.14/1.22 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) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Int__absorb2_0,axiom, % 1.14/1.22 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.14/1.22 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Int__absorb1_0,axiom, % 1.14/1.22 ( c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.14/1.22 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__iff__inf_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_x % 1.14/1.22 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__iff__inf_1,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) != V_x % 1.14/1.22 | c_lessequals(V_x,V_y,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_inf__absorb2_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = V_y % 1.14/1.22 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__subset__iff_2,axiom, % 1.14/1.22 ( 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)) % 1.14/1.22 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.14/1.22 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__upper2_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__upper1_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__least_0,axiom, % 1.14/1.22 ( 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)) % 1.14/1.22 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.14/1.22 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__supI_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.22 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) % 1.14/1.22 | ~ c_lessequals(V_b,V_x,T_a) % 1.14/1.22 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_sup__ge1_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.22 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_sup__ge2_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.22 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_sup__least_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.22 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a) % 1.14/1.22 | ~ c_lessequals(V_z,V_x,T_a) % 1.14/1.22 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__sup__iff_2,axiom, % 1.14/1.22 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.22 | c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) % 1.14/1.22 | ~ c_lessequals(V_y,V_z,T_a) % 1.14/1.22 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.22 | c_lessequals(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.22 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Int__commute_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_inf__commute_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.22 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a) = c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_distrib__inf__le_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.22 | 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) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__Int__crazy_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Field__converse_0,axiom, % 1.14/1.22 c_Relation_OField(c_Relation_Oconverse(V_r,T_a,T_a),T_a) = c_Relation_OField(V_r,T_a) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_insert__subset_0,axiom, % 1.14/1.22 ( c_in(V_x,V_B,T_a) % 1.14/1.22 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Sigma__Un__distrib1_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_insert__code_2,axiom, % 1.14/1.22 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 1.14/1.22 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_insert__image_0,axiom, % 1.14/1.22 ( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b) % 1.14/1.22 | ~ c_in(V_x,V_A,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_subset__insert__iff_2,axiom, % 1.14/1.22 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.14/1.22 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.22 | c_in(V_x,V_A,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_subset__insert__iff_1,axiom, % 1.14/1.22 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.22 | c_in(V_x,V_A,T_a) % 1.14/1.22 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_subset__insert_1,axiom, % 1.14/1.22 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.14/1.22 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.22 | c_in(V_x,V_A,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_subset__insert_0,axiom, % 1.14/1.22 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.22 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 1.14/1.22 | c_in(V_x,V_A,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_converse__Int_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Int__insert__right_1,axiom, % 1.14/1.22 ( 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)) % 1.14/1.22 | c_in(V_a,V_A,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Int__insert__left_1,axiom, % 1.14/1.22 ( 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)) % 1.14/1.22 | c_in(V_a,V_C,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_rel__comp__distrib2_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_rel__comp__distrib_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_trans__Id__on_0,axiom, % 1.14/1.22 c_Relation_Otrans(c_Relation_OId__on(V_A,T_a),T_a) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Field__Un_0,axiom, % 1.14/1.22 c_Relation_OField(c_Lattices_Oupper__semilattice__class_Osup(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)),T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Int__subset__iff_1,axiom, % 1.14/1.22 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.22 | ~ 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)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Int__subset__iff_0,axiom, % 1.14/1.22 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 1.14/1.22 | ~ 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)) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__infE_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_lessequals(V_x,V_a,T_a) % 1.14/1.22 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__infE_1,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_lessequals(V_x,V_b,T_a) % 1.14/1.22 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__infI1_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.14/1.22 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__infI2_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_x,T_a) % 1.14/1.22 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__inf__iff_0,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_lessequals(V_x,V_y,T_a) % 1.14/1.22 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_le__inf__iff_1,axiom, % 1.14/1.22 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.22 | c_lessequals(V_x,V_z,T_a) % 1.14/1.22 | ~ c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) ) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Field__def__raw_0,axiom, % 1.14/1.22 c_Relation_OField(v_r,t_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(v_r,t_a,t_a),c_Relation_ORange(v_r,t_a,t_a),tc_fun(t_a,tc_bool)) ). % 1.14/1.22 % 1.14/1.22 cnf(cls_Un__commute_0,axiom, % 1.14/1.22 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup__commute_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.23 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Domain__Un__eq_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Un__left__absorb_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup__left__idem_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite_0,axiom, % 1.14/1.23 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 1.14/1.23 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Range__Int__subset_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_rtrancl__Un__rtrancl_0,axiom, % 1.14/1.23 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) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf1E_1,axiom, % 1.14/1.23 ( hBOOL(hAPP(V_B,V_x)) % 1.14/1.23 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf1E_0,axiom, % 1.14/1.23 ( hBOOL(hAPP(V_A,V_x)) % 1.14/1.23 | ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Range__insert_0,axiom, % 1.14/1.23 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) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sym__Int_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ c_Relation_Osym(V_s,T_a) % 1.14/1.23 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trancl__id_0,axiom, % 1.14/1.23 ( c_Transitive__Closure_Otrancl(V_r,T_a) = V_r % 1.14/1.23 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__Int_1,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__Int_0,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(c_Lattices_Olower__semilattice__class_Oinf(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__iff_2,axiom, % 1.14/1.23 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_in(V_c,V_B,T_a) % 1.14/1.23 | ~ c_in(V_c,V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_IntI_0,axiom, % 1.14/1.23 ( c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_in(V_c,V_B,T_a) % 1.14/1.23 | ~ c_in(V_c,V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insert__iff_2,axiom, % 1.14/1.23 ( c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) % 1.14/1.23 | ~ c_in(V_a,V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insertCI_0,axiom, % 1.14/1.23 ( c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a) % 1.14/1.23 | ~ c_in(V_a,V_B,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_UnCI_1,axiom, % 1.14/1.23 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_in(V_c,V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_UnCI_0,axiom, % 1.14/1.23 ( c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_in(V_c,V_B,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insertE_0,axiom, % 1.14/1.23 ( c_in(V_a,V_A,T_a) % 1.14/1.23 | V_a = V_b % 1.14/1.23 | ~ c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_UnE_0,axiom, % 1.14/1.23 ( c_in(V_c,V_B,T_a) % 1.14/1.23 | c_in(V_c,V_A,T_a) % 1.14/1.23 | ~ c_in(V_c,c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insert__iff_1,axiom, % 1.14/1.23 c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insertI1_0,axiom, % 1.14/1.23 c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insertCI_1,axiom, % 1.14/1.23 c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_IntE_1,axiom, % 1.14/1.23 ( c_in(V_c,V_B,T_a) % 1.14/1.23 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_IntE_0,axiom, % 1.14/1.23 ( c_in(V_c,V_A,T_a) % 1.14/1.23 | ~ c_in(V_c,c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insert__ident_0,axiom, % 1.14/1.23 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 1.14/1.23 | c_in(V_x,V_B,T_a) % 1.14/1.23 | c_in(V_x,V_A,T_a) % 1.14/1.23 | V_A = V_B ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insert__absorb_0,axiom, % 1.14/1.23 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 1.14/1.23 | ~ c_in(V_a,V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_rev__image__eqI_0,axiom, % 1.14/1.23 ( ~ c_in(V_x,V_A,T_aa) % 1.14/1.23 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_image__iff_2,axiom, % 1.14/1.23 ( ~ c_in(V_x,V_A,T_b) % 1.14/1.23 | c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_image__eqI_0,axiom, % 1.14/1.23 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) % 1.14/1.23 | ~ c_in(V_x,V_A,T_b) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_imageI_0,axiom, % 1.14/1.23 ( c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) % 1.14/1.23 | ~ c_in(V_x,V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_tranclD2_1,axiom, % 1.14/1.23 ( 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)) % 1.14/1.23 | ~ 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)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Sigma__mono_1,axiom, % 1.14/1.23 ( c_lessequals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) % 1.14/1.23 | ~ c_lessequals(hAPP(V_B,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),hAPP(V_D,c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b)),tc_fun(T_b,tc_bool)) % 1.14/1.23 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_wf__union__compatible_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ 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)) % 1.14/1.23 | ~ c_Wellfounded_Owf(V_S,T_a) % 1.14/1.23 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trancl__Int__subset_0,axiom, % 1.14/1.23 ( c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.14/1.23 | ~ 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)) % 1.14/1.23 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_reflcl__trancl_0,axiom, % 1.14/1.23 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) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trancl__reflcl_0,axiom, % 1.14/1.23 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) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Domain__Int__subset_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_subset__insertI_0,axiom, % 1.14/1.23 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__insert_0,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(V_A,T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__insert_1,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trans__inv__image_0,axiom, % 1.14/1.23 ( c_Relation_Otrans(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 1.14/1.23 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_image__Int__subset_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__Un_2,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__UnI_0,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Image__Int__subset_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Un__Int__assoc__eq_0,axiom, % 1.14/1.23 ( 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)) % 1.14/1.23 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Un__Int__assoc__eq_1,axiom, % 1.14/1.23 ( 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)) % 1.14/1.23 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trans__reflclI_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup1E_0,axiom, % 1.14/1.23 ( hBOOL(hAPP(V_B,V_x)) % 1.14/1.23 | hBOOL(hAPP(V_A,V_x)) % 1.14/1.23 | ~ hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup1CI_0,axiom, % 1.14/1.23 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.14/1.23 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup1CI_1,axiom, % 1.14/1.23 ( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.14/1.23 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Times__Int__distrib1_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trans__O__subset_0,axiom, % 1.14/1.23 ( 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)) % 1.14/1.23 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_refl__on__Un_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ c_Relation_Orefl__on(V_B,V_s,T_a) % 1.14/1.23 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__left__commute_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__assoc_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__assoc_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__left__commute_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__Un_0,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(V_F,T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__Un_1,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(V_G,T_a) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(c_Lattices_Oupper__semilattice__class_Osup(V_F,V_G,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trans__Id_0,axiom, % 1.14/1.23 c_Relation_Otrans(c_Relation_OId(T_a),T_a) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_insert__times__insert_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_trans__Int_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ c_Relation_Otrans(V_s,T_a) % 1.14/1.23 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_distrib__sup__le_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup__inf__absorb_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a) = V_x ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__sup__absorb_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a) = V_x ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup__absorb1_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.23 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_x % 1.14/1.23 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_le__iff__sup_1,axiom, % 1.14/1.23 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.23 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) != V_y % 1.14/1.23 | c_lessequals(V_x,V_y,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_le__iff__sup_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.14/1.23 | c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a) = V_y % 1.14/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Un__absorb1_0,axiom, % 1.14/1.23 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_B % 1.14/1.23 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Un__absorb2_0,axiom, % 1.14/1.23 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A % 1.14/1.23 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_subset__Un__eq_1,axiom, % 1.14/1.23 ( c_Lattices_Oupper__semilattice__class_Osup(V_A,V_B,tc_fun(T_a,tc_bool)) != V_B % 1.14/1.23 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_refl__on__Int_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ c_Relation_Orefl__on(V_B,V_s,T_a) % 1.14/1.23 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_finite__imageI_0,axiom, % 1.14/1.23 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) % 1.14/1.23 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__insert__left_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ c_in(V_a,V_C,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__insert__right_0,axiom, % 1.14/1.23 ( 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) % 1.14/1.23 | ~ c_in(V_a,V_A,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_image__insert_0,axiom, % 1.14/1.23 c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Un__mono_0,axiom, % 1.14/1.23 ( 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)) % 1.14/1.23 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.14/1.23 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_converse__Un_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.14/1.23 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__greatest_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.23 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.14/1.23 | ~ c_lessequals(V_x,V_z,T_a) % 1.14/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_le__inf__iff_2,axiom, % 1.14/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.23 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a) % 1.14/1.23 | ~ c_lessequals(V_x,V_z,T_a) % 1.14/1.23 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_le__infI_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.23 | c_lessequals(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a) % 1.14/1.23 | ~ c_lessequals(V_x,V_b,T_a) % 1.14/1.23 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__le2_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.23 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_y,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_inf__le1_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.14/1.23 | c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_x,T_a) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__lower1_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__lower2_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__greatest_0,axiom, % 1.14/1.23 ( 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)) % 1.14/1.23 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.23 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Int__subset__iff_2,axiom, % 1.14/1.23 ( 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)) % 1.14/1.23 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 1.14/1.23 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Times__Un__distrib1_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup__inf__distrib2_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_sup__inf__distrib1_0,axiom, % 1.14/1.23 ( ~ class_Lattices_Odistrib__lattice(T_a) % 1.14/1.23 | 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) ) ). % 1.14/1.23 % 1.14/1.23 cnf(cls_Un__Int__distrib_0,axiom, % 1.14/1.23 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)) ). % 1.14/1.23 % 1.21/1.23 cnf(cls_Un__Int__distrib2_0,axiom, % 1.21/1.23 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)) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_insert__code_1,axiom, % 1.21/1.23 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_insert__subset_2,axiom, % 1.21/1.23 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 1.21/1.23 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.21/1.23 | ~ c_in(V_x,V_B,T_a) ) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 1.21/1.23 ( ~ class_Lattices_Olattice(T_a) % 1.21/1.23 | 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) ) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_inf__left__idem_0,axiom, % 1.21/1.23 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.21/1.23 | 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) ) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_Int__left__absorb_0,axiom, % 1.21/1.23 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)) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_mono__Field_0,axiom, % 1.21/1.23 ( c_lessequals(c_Relation_OField(V_r,T_a),c_Relation_OField(V_s,T_a),tc_fun(T_a,tc_bool)) % 1.21/1.23 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_Range__Un__eq_0,axiom, % 1.21/1.23 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)) ). % 1.21/1.23 % 1.21/1.23 cnf(cls_wf__Int1_0,axiom, % 1.21/1.24 ( 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) % 1.21/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wf__Int2_0,axiom, % 1.21/1.24 ( 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) % 1.21/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_inf__idem_0,axiom, % 1.21/1.24 ( ~ class_Lattices_Olower__semilattice(T_a) % 1.21/1.24 | c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a) = V_x ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Int__absorb_0,axiom, % 1.21/1.24 c_Lattices_Olower__semilattice__class_Oinf(V_A,V_A,tc_fun(T_a,tc_bool)) = V_A ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Field__def_0,axiom, % 1.21/1.24 c_Relation_OField(V_r,T_a) = c_Lattices_Oupper__semilattice__class_Osup(c_Relation_ODomain(V_r,T_a,T_a),c_Relation_ORange(V_r,T_a,T_a),tc_fun(T_a,tc_bool)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_le__sup__iff_1,axiom, % 1.21/1.24 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.21/1.24 | c_lessequals(V_y,V_z,T_a) % 1.21/1.24 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_le__sup__iff_0,axiom, % 1.21/1.24 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.21/1.24 | c_lessequals(V_x,V_z,T_a) % 1.21/1.24 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_le__supI2_0,axiom, % 1.21/1.24 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.21/1.24 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.21/1.24 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_le__supI1_0,axiom, % 1.21/1.24 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.21/1.24 | c_lessequals(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a) % 1.21/1.24 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_le__supE_1,axiom, % 1.21/1.24 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.21/1.24 | c_lessequals(V_b,V_x,T_a) % 1.21/1.24 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_le__supE_0,axiom, % 1.21/1.24 ( ~ class_Lattices_Oupper__semilattice(T_a) % 1.21/1.24 | c_lessequals(V_a,V_x,T_a) % 1.21/1.24 | ~ c_lessequals(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_x,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Un__subset__iff_0,axiom, % 1.21/1.24 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Un__subset__iff_1,axiom, % 1.21/1.24 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_finite__subset_0,axiom, % 1.21/1.24 ( c_Finite__Set_Ofinite(V_A,T_a) % 1.21/1.24 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 1.21/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rev__finite__subset_0,axiom, % 1.21/1.24 ( c_Finite__Set_Ofinite(V_A,T_a) % 1.21/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Int__mono_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_inf1I_0,axiom, % 1.21/1.24 ( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(V_A,V_B,tc_fun(T_a,tc_bool)),V_x)) % 1.21/1.24 | ~ hBOOL(hAPP(V_B,V_x)) % 1.21/1.24 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_image__mono_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_subset__image__iff_2,axiom, % 1.21/1.24 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 1.21/1.24 | 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_insert__mono_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_equiv_Otrans_0,axiom, % 1.21/1.24 ( c_Relation_Otrans(V_r,T_a) % 1.21/1.24 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_image__Un_0,axiom, % 1.21/1.24 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)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_transD_0,axiom, % 1.21/1.24 ( c_in(c_Pair(V_a,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_trans__def_0,axiom, % 1.21/1.24 ( c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ c_Relation_Otrans(V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wf__insert_0,axiom, % 1.21/1.24 ( c_Wellfounded_Owf(V_r,T_a) % 1.21/1.24 | ~ 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) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wf__union__merge_0,axiom, % 1.21/1.24 ( 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) % 1.21/1.24 | ~ 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) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wf__union__merge_1,axiom, % 1.21/1.24 ( 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) % 1.21/1.24 | ~ 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) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_trancl__unfold_0,axiom, % 1.21/1.24 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)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_finite__Inter_0,axiom, % 1.21/1.24 ( c_Finite__Set_Ofinite(c_Complete__Lattice_OInf__class_OInf(V_M,tc_fun(T_a,tc_bool)),T_a) % 1.21/1.24 | ~ c_Finite__Set_Ofinite(V_x,T_a) % 1.21/1.24 | ~ c_in(V_x,V_M,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_sym__Un__converse_0,axiom, % 1.21/1.24 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) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_sym__Int__converse_0,axiom, % 1.21/1.24 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) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Image__Id__on_0,axiom, % 1.21/1.24 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)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Nitpick_Ortrancl__def_0,axiom, % 1.21/1.24 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)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__unfold_0,axiom, % 1.21/1.24 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)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wf__insert_1,axiom, % 1.21/1.24 ( ~ 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)) % 1.21/1.24 | ~ 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) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wf__insert_2,axiom, % 1.21/1.24 ( 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) % 1.21/1.24 | 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)) % 1.21/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_tranclD2_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Sigma__mono_0,axiom, % 1.21/1.24 ( c_lessequals(c_Product__Type_OSigma(V_A,V_B,T_a,T_b),c_Product__Type_OSigma(V_C,V_D,T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_bool)) % 1.21/1.24 | c_in(c_ATP__Linkup_Osko__Product__Type__XSigma__mono__1__1(V_A,V_B,V_D,T_a,T_b),V_A,T_a) % 1.21/1.24 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_funcsetI_1,axiom, % 1.21/1.24 ( c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)) % 1.21/1.24 | ~ c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b)),V_B,T_b) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_funcsetI_0,axiom, % 1.21/1.24 ( c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)) % 1.21/1.24 | c_in(c_FuncSet_Osko__FuncSet__XfuncsetI__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_funcset__image_0,axiom, % 1.21/1.24 ( c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 1.21/1.24 | ~ c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_trancl__subset__Field2_0,axiom, % 1.21/1.24 c_lessequals(c_Transitive__Closure_Otrancl(V_r,T_a),c_Product__Type_OSigma(c_Relation_OField(V_r,T_a),c_COMBK(c_Relation_OField(V_r,T_a),tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__Int__subset_0,axiom, % 1.21/1.24 ( c_lessequals(c_Transitive__Closure_Ortrancl(V_r,T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.21/1.24 | ~ 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)) % 1.21/1.24 | ~ c_lessequals(c_Relation_OId(T_a),V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_sym__trans__comp__subset_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_Relation_Otrans(V_r,T_a) % 1.21/1.24 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wfI_3,axiom, % 1.21/1.24 ( c_Wellfounded_Owf(V_r,T_a) % 1.21/1.24 | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(V_A,V_B,V_r,T_a),V_B,T_a) % 1.21/1.24 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wfI_2,axiom, % 1.21/1.24 ( c_Wellfounded_Owf(V_r,T_a) % 1.21/1.24 | c_in(c_ATP__Linkup_Osko__Wellfounded__XwfI__1__1(V_A,V_B,V_r,T_a),V_A,T_a) % 1.21/1.24 | ~ c_lessequals(V_r,c_Product__Type_OSigma(V_A,c_COMBK(V_B,tc_fun(T_a,tc_bool),T_a),T_a,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_refl__on__def_2,axiom, % 1.21/1.24 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.21/1.24 | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(V_A,V_r,T_a),V_A,T_a) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_refl__onI_0,axiom, % 1.21/1.24 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.21/1.24 | c_in(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(V_A,V_r,T_a),V_A,T_a) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_finite__equiv__class_0,axiom, % 1.21/1.24 ( c_Finite__Set_Ofinite(V_X,T_a) % 1.21/1.24 | ~ c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ 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)) % 1.21/1.24 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_refl__onI_1,axiom, % 1.21/1.24 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.21/1.24 | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(V_A,V_r,T_a),c_ATP__Linkup_Osko__Relation__Xrefl__onI__1__1(V_A,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_refl__on__def_3,axiom, % 1.21/1.24 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.21/1.24 | ~ c_in(c_Pair(c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(V_A,V_r,T_a),c_ATP__Linkup_Osko__Relation__Xrefl__on__def__1__1(V_A,V_r,T_a),T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtranclD_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | V_a = V_b % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__eq__or__trancl_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | V_x = V_y % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__eq__or__trancl_2,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ 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)) % 1.21/1.24 | V_x = V_y ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_converse__tranclE_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__into__trancl1_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__into__trancl2_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ 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)) % 1.21/1.24 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Inter__lower_0,axiom, % 1.21/1.24 ( c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ c_in(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_trancl__unfold__left_0,axiom, % 1.21/1.24 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) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_trancl__unfold__right_0,axiom, % 1.21/1.24 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) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_InterI_1,axiom, % 1.21/1.24 ( c_in(V_A,c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)),T_a) % 1.21/1.24 | ~ c_in(V_A,c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_acc__induct_0,axiom, % 1.21/1.24 ( hBOOL(hAPP(V_P,V_a)) % 1.21/1.24 | 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) % 1.21/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_acc_OaccI_1,axiom, % 1.21/1.24 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.21/1.24 | ~ 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) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_acc_Oinduct_2,axiom, % 1.21/1.24 ( hBOOL(hAPP(V_P,V_x)) % 1.21/1.24 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinduct__1(V_P,V_r))) % 1.21/1.24 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_acc__induct__rule_2,axiom, % 1.21/1.24 ( hBOOL(hAPP(V_P,V_a)) % 1.21/1.24 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1(V_P,V_r,T_a))) % 1.21/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_not__acc__down_1,axiom, % 1.21/1.24 ( ~ 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) % 1.21/1.24 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_acc__induct__rule_0,axiom, % 1.21/1.24 ( hBOOL(hAPP(V_P,V_a)) % 1.21/1.24 | 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) % 1.21/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_acc_Oinducts_2,axiom, % 1.21/1.24 ( hBOOL(hAPP(V_P,V_x)) % 1.21/1.24 | ~ hBOOL(hAPP(V_P,v_sko__Wellfounded__Xacc__Xinducts__1(V_P,V_r))) % 1.21/1.24 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_acc__induct_2,axiom, % 1.21/1.24 ( hBOOL(hAPP(V_P,V_a)) % 1.21/1.24 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1(V_P,V_r,T_a))) % 1.21/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Inf__lower_0,axiom, % 1.21/1.24 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.21/1.24 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a) % 1.21/1.24 | ~ c_in(V_x,V_A,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Union__upper_0,axiom, % 1.21/1.24 ( c_lessequals(V_B,c_Complete__Lattice_OSup__class_OSup(V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ c_in(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_trancl__mono_0,axiom, % 1.21/1.24 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_s,T_a),tc_prod(T_a,T_a)) % 1.21/1.24 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.21/1.24 | ~ c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Image__iff_0,axiom, % 1.21/1.24 ( 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) % 1.21/1.24 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_ImageE_1,axiom, % 1.21/1.24 ( c_in(c_ATP__Linkup_Osko__Relation__XImageE__1__1(V_A,V_b,V_r,T_b,T_a),V_A,T_b) % 1.21/1.24 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Times__eq__cancel2_0,axiom, % 1.21/1.24 ( c_Product__Type_OSigma(V_A,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) != c_Product__Type_OSigma(V_B,c_COMBK(V_C,tc_fun(T_a,tc_bool),T_b),T_b,T_a) % 1.21/1.24 | ~ c_in(V_x,V_C,T_a) % 1.21/1.24 | V_A = V_B ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wfE__min_0,axiom, % 1.21/1.24 ( c_in(c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1(V_Q,V_R,T_a),V_Q,T_a) % 1.21/1.24 | ~ c_in(V_x,V_Q,T_a) % 1.21/1.24 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_wf__eq__minimal_0,axiom, % 1.21/1.24 ( c_in(c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1(V_Q,V_r,T_a),V_Q,T_a) % 1.21/1.24 | ~ c_in(V_xa,V_Q,T_a) % 1.21/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_UnionE_0,axiom, % 1.21/1.24 ( c_in(V_A,c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a),T_a) % 1.21/1.24 | ~ c_in(V_A,c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Sup__upper_0,axiom, % 1.21/1.24 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 1.21/1.24 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) % 1.21/1.24 | ~ c_in(V_x,V_A,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl_Ortrancl__into__rtrancl_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_converse__rtrancl__into__rtrancl_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ 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)) % 1.21/1.24 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__trans_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ 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)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl_Ortrancl__refl_0,axiom, % 1.21/1.24 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)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__eq__or__trancl_1,axiom, % 1.21/1.24 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)) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_tranclD_1,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ 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)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_linorder__linear_0,axiom, % 1.21/1.24 ( ~ class_Orderings_Olinorder(T_a) % 1.21/1.24 | c_lessequals(V_y,V_x,T_a) % 1.21/1.24 | c_lessequals(V_x,V_y,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rtrancl__idemp_0,axiom, % 1.21/1.24 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_r,T_a) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_equiv__type_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_trancl__rtrancl__absorb_0,axiom, % 1.21/1.24 c_Transitive__Closure_Ortrancl(c_Transitive__Closure_Otrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Image__mono_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_lessequals(V_A_H,V_A,tc_fun(T_a,tc_bool)) % 1.21/1.24 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_Domain__mono_0,axiom, % 1.21/1.24 ( 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)) % 1.21/1.24 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 1.21/1.24 % 1.21/1.24 cnf(cls_rev__predicate1D_0,axiom, % 1.21/1.24 ( hBOOL(hAPP(V_Q,V_x)) % 1.23/1.24 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_order__eq__refl_0,axiom, % 1.23/1.24 ( ~ class_Orderings_Opreorder(T_a) % 1.23/1.24 | c_lessequals(V_x,V_x,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_order__eq__iff_0,axiom, % 1.23/1.24 ( ~ class_Orderings_Oorder(T_a) % 1.23/1.24 | c_lessequals(V_x,V_x,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wf__subset_0,axiom, % 1.23/1.24 ( c_Wellfounded_Owf(V_p,T_a) % 1.23/1.24 | ~ c_lessequals(V_p,V_r,tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.23/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_predicate1D_0,axiom, % 1.23/1.24 ( hBOOL(hAPP(V_Q,V_x)) % 1.23/1.24 | ~ hBOOL(hAPP(V_P,V_x)) % 1.23/1.24 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_subset__trans_0,axiom, % 1.23/1.24 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_subset__refl_0,axiom, % 1.23/1.24 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_equalityE_0,axiom, % 1.23/1.24 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_order__trans_0,axiom, % 1.23/1.24 ( ~ class_Orderings_Opreorder(T_a) % 1.23/1.24 | c_lessequals(V_x,V_z,T_a) % 1.23/1.24 | ~ c_lessequals(V_y,V_z,T_a) % 1.23/1.24 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_xt1_I6_J_0,axiom, % 1.23/1.24 ( ~ class_Orderings_Oorder(T_a) % 1.23/1.24 | c_lessequals(V_z,V_x,T_a) % 1.23/1.24 | ~ c_lessequals(V_z,V_y,T_a) % 1.23/1.24 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__converse_0,axiom, % 1.23/1.24 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) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__subset__rtrancl_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_lessequals(V_r,c_Transitive__Closure_Ortrancl(V_s,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__subset__Sigma_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_order__antisym__conv_0,axiom, % 1.23/1.24 ( ~ class_Orderings_Oorder(T_a) % 1.23/1.24 | V_x = V_y % 1.23/1.24 | ~ c_lessequals(V_x,V_y,T_a) % 1.23/1.24 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_order__antisym_0,axiom, % 1.23/1.24 ( ~ class_Orderings_Oorder(T_a) % 1.23/1.24 | V_x = V_y % 1.23/1.24 | ~ c_lessequals(V_y,V_x,T_a) % 1.23/1.24 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_order__eq__iff_2,axiom, % 1.23/1.24 ( ~ class_Orderings_Oorder(T_a) % 1.23/1.24 | V_x = V_y % 1.23/1.24 | ~ c_lessequals(V_y,V_x,T_a) % 1.23/1.24 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_set__eq__subset_2,axiom, % 1.23/1.24 ( V_A = V_B % 1.23/1.24 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_equalityI_0,axiom, % 1.23/1.24 ( V_A = V_B % 1.23/1.24 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__idemp__self__comp_0,axiom, % 1.23/1.24 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) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rel__comp__subset__Sigma_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__mono_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_lessequals(V_r,V_s,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__trancl__absorb_0,axiom, % 1.23/1.24 c_Transitive__Closure_Otrancl(c_Transitive__Closure_Ortrancl(V_R,T_a),T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_r__comp__rtrancl__eq_0,axiom, % 1.23/1.24 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) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Times__subset__cancel2_1,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool)) % 1.23/1.24 | ~ c_in(V_x,V_C,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Times__subset__cancel2_0,axiom, % 1.23/1.24 ( c_lessequals(V_A,V_B,tc_fun(T_b,tc_bool)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_x,V_C,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Id__on__subset__Times_0,axiom, % 1.23/1.24 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)) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_refl__on__def_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rel__comp__mono_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_lessequals(V_s_H,V_s,tc_fun(tc_prod(T_b,T_c),tc_bool)) % 1.23/1.24 | ~ c_lessequals(V_r_H,V_r,tc_fun(tc_prod(T_a,T_b),tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_COMBK__def_0,axiom, % 1.23/1.24 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Image__subset_0,axiom, % 1.23/1.24 ( c_lessequals(c_Relation_OImage(V_r,V_C,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_sym__rtrancl_0,axiom, % 1.23/1.24 ( c_Relation_Osym(c_Transitive__Closure_Ortrancl(V_r,T_a),T_a) % 1.23/1.24 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__subset_0,axiom, % 1.23/1.24 ( c_Transitive__Closure_Ortrancl(V_S,T_a) = c_Transitive__Closure_Ortrancl(V_R,T_a) % 1.23/1.24 | ~ c_lessequals(V_S,c_Transitive__Closure_Ortrancl(V_R,T_a),tc_fun(tc_prod(T_a,T_a),tc_bool)) % 1.23/1.24 | ~ c_lessequals(V_R,V_S,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__subset__Sigma__aux_0,axiom, % 1.23/1.24 ( c_in(V_a,V_A,T_a) % 1.23/1.24 | V_a = V_b % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc__subset_0,axiom, % 1.23/1.24 ( c_lessequals(c_Wellfounded_Oacc(V_R2,T_a),c_Wellfounded_Oacc(V_R1,T_a),tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ c_lessequals(V_R1,V_R2,tc_fun(tc_prod(T_a,T_a),tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_cuts__eq_2,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | 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) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_le__funD_0,axiom, % 1.23/1.24 ( ~ class_HOL_Oord(T_b) % 1.23/1.24 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 1.23/1.24 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_subset__iff_0,axiom, % 1.23/1.24 ( c_in(V_t,V_B,T_a) % 1.23/1.24 | ~ c_in(V_t,V_A,T_a) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_set__rev__mp_0,axiom, % 1.23/1.24 ( c_in(V_x,V_B,T_a) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ c_in(V_x,V_A,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_subsetD_0,axiom, % 1.23/1.24 ( c_in(V_c,V_B,T_a) % 1.23/1.24 | ~ c_in(V_c,V_A,T_a) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_set__mp_0,axiom, % 1.23/1.24 ( c_in(V_x,V_B,T_a) % 1.23/1.24 | ~ c_in(V_x,V_A,T_a) % 1.23/1.24 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_r__into__rtrancl_0,axiom, % 1.23/1.24 ( c_in(V_p,c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a)) % 1.23/1.24 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__into__rtrancl_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__rtrancl__trancl_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__trancl__trancl_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_tranclD_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_converse__tranclE_1,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_irrefl__trancl__rD_0,axiom, % 1.23/1.24 ( ~ c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.24 | 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_UnionE_1,axiom, % 1.23/1.24 ( c_in(c_ATP__Linkup_Osko__Complete__Lattice__XUnionE__1__1(V_A,V_C,T_a),V_C,tc_fun(T_a,tc_bool)) % 1.23/1.24 | ~ c_in(V_A,c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__converseI_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rtrancl__converseD_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rel__compEpair_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_rel__compEpair_1,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Pi__I_H_1,axiom, % 1.23/1.24 ( c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)) % 1.23/1.24 | ~ c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b)),T_b) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_funcset__mem_0,axiom, % 1.23/1.24 ( c_in(hAPP(V_f,V_x),V_B,T_b) % 1.23/1.24 | ~ c_in(V_x,V_A,T_a) % 1.23/1.24 | ~ c_in(V_f,c_FuncSet_OPi(V_A,c_COMBK(V_B,tc_fun(T_b,tc_bool),T_a),T_a,T_b),tc_fun(T_a,T_b)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Pi__I_1,axiom, % 1.23/1.24 ( c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)) % 1.23/1.24 | ~ c_in(hAPP(V_f,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),hAPP(V_B,c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b)),T_b) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Pi__I_H_0,axiom, % 1.23/1.24 ( c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)) % 1.23/1.24 | c_in(c_FuncSet_Osko__FuncSet__XPi__I_H__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Pi__I_0,axiom, % 1.23/1.24 ( c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)) % 1.23/1.24 | c_in(c_FuncSet_Osko__FuncSet__XPi__I__1__1(V_A,V_B,V_f,T_a,T_b),V_A,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_quotientE_1,axiom, % 1.23/1.24 ( c_in(c_List_Osko__Equiv__Relations__XquotientE__1__1(V_A,V_X,V_r,T_a),V_A,T_a) % 1.23/1.24 | ~ c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_IdE_0,axiom, % 1.23/1.24 ( 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) % 1.23/1.24 | ~ c_in(V_p,c_Relation_OId(T_a),tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_InterI_0,axiom, % 1.23/1.24 ( c_in(V_A,c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)),T_a) % 1.23/1.24 | c_in(c_ATP__Linkup_Osko__Complete__Lattice__XInterI__1__1(V_A,V_C,T_a),V_C,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc__wfI_0,axiom, % 1.23/1.24 ( c_Wellfounded_Owf(V_r,T_a) % 1.23/1.24 | ~ c_in(c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1(V_r,T_a),c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wf__acc__iff_1,axiom, % 1.23/1.24 ( c_Wellfounded_Owf(V_r,T_a) % 1.23/1.24 | ~ 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) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Id__onE_0,axiom, % 1.23/1.24 ( c_in(c_ATP__Linkup_Osko__Relation__XId__onE__1__1(V_A,V_c,T_a),V_A,T_a) % 1.23/1.24 | ~ c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Id__onE_1,axiom, % 1.23/1.24 ( 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) % 1.23/1.24 | ~ c_in(V_c,c_Relation_OId__on(V_A,T_a),tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_cuts__eq_1,axiom, % 1.23/1.24 ( 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) % 1.23/1.24 | 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_refl__on__comp__subset_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Range__def__raw_0,axiom, % 1.23/1.24 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) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Nitpick_Orefl_H__def_1,axiom, % 1.23/1.24 ( c_Nitpick_Orefl_H(V_r,T_a) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wf__eq__minimal_1,axiom, % 1.23/1.24 ( ~ c_in(V_y,V_Q,T_a) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_xa,V_Q,T_a) % 1.23/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wfE__min_1,axiom, % 1.23/1.24 ( ~ c_in(V_y,V_Q,T_a) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_x,V_Q,T_a) % 1.23/1.24 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Image__iff_1,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_ImageE_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Not__Domain__rtrancl_0,axiom, % 1.23/1.24 ( V_x = V_y % 1.23/1.24 | ~ 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)) % 1.23/1.24 | c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Domain__iff_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_DomainE_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Not__Domain__rtrancl_1,axiom, % 1.23/1.24 ( c_in(V_x,c_Relation_ODomain(V_R,T_a,T_a),T_a) % 1.23/1.24 | 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc__induct_1,axiom, % 1.23/1.24 ( hBOOL(hAPP(V_P,V_a)) % 1.23/1.24 | hBOOL(hAPP(V_P,V_y)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc_Oinduct_0,axiom, % 1.23/1.24 ( hBOOL(hAPP(V_P,V_x)) % 1.23/1.24 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc_Oinducts_1,axiom, % 1.23/1.24 ( hBOOL(hAPP(V_P,V_x)) % 1.23/1.24 | hBOOL(hAPP(V_P,V_y)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc_Oinducts_0,axiom, % 1.23/1.24 ( hBOOL(hAPP(V_P,V_x)) % 1.23/1.24 | c_in(V_ya,c_Wellfounded_Oacc(V_r,t_a),t_a) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc__downwards_0,axiom, % 1.23/1.24 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc__downwards__aux_0,axiom, % 1.23/1.24 ( c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.23/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc_OaccI_0,axiom, % 1.23/1.24 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.23/1.24 | 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc_Oinduct_1,axiom, % 1.23/1.24 ( hBOOL(hAPP(V_P,V_x)) % 1.23/1.24 | hBOOL(hAPP(V_P,V_y)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_x,c_Wellfounded_Oacc(V_r,t_a),t_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc__induct__rule_1,axiom, % 1.23/1.24 ( hBOOL(hAPP(V_P,V_a)) % 1.23/1.24 | hBOOL(hAPP(V_P,V_y)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_not__acc__down_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | c_in(V_x,c_Wellfounded_Oacc(V_R,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Range__iff_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_RangeE_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(V_b,c_Relation_ORange(V_r,T_b,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wf__asym_0,axiom, % 1.23/1.24 ( ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.24 | ~ c_in(c_Pair(V_a,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl_Or__into__trancl_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__into__trancl2_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) % 1.23/1.24 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Transitive__Closure_Otrancl__into__trancl_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_converseD_0,axiom, % 1.23/1.24 ( c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_converseI_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_converse__iff_1,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ c_in(c_Pair(V_b,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_cut__apply_0,axiom, % 1.23/1.24 ( hAPP(c_Recdef_Ocut(V_f,V_r,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x) % 1.23/1.24 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_tfl__cut__apply_0,axiom, % 1.23/1.24 ( hAPP(c_Recdef_Ocut(V_f,V_R,V_a,T_a,T_b),V_x) = hAPP(V_f,V_x) % 1.23/1.24 | ~ c_in(c_Pair(V_x,V_a,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_r__into__trancl_H_0,axiom, % 1.23/1.24 ( c_in(V_p,c_Transitive__Closure_Otrancl(V_r,T_a),tc_prod(T_a,T_a)) % 1.23/1.24 | ~ c_in(V_p,V_r,tc_prod(T_a,T_a)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__converseD_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__converseI_0,axiom, % 1.23/1.24 ( 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)) % 1.23/1.24 | ~ 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)) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_acc__wfD_0,axiom, % 1.23/1.24 ( c_in(V_x,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.23/1.24 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_sym__trancl_0,axiom, % 1.23/1.24 ( c_Relation_Osym(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) % 1.23/1.24 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_sym__converse_0,axiom, % 1.23/1.24 ( c_Relation_Osym(V_r,T_a) % 1.23/1.24 | ~ c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_sym__converse_1,axiom, % 1.23/1.24 ( c_Relation_Osym(c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.23/1.24 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_trancl__domain_0,axiom, % 1.23/1.24 c_Relation_ODomain(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ODomain(V_r,T_a,T_a) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_sym__Id_0,axiom, % 1.23/1.24 c_Relation_Osym(c_Relation_OId(T_a),T_a) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Id__O__R_0,axiom, % 1.23/1.24 c_Relation_Orel__comp(c_Relation_OId(T_a),V_R,T_a,T_a,T_b) = V_R ). % 1.23/1.24 % 1.23/1.24 cnf(cls_R__O__Id_0,axiom, % 1.23/1.24 c_Relation_Orel__comp(V_R,c_Relation_OId(T_b),T_a,T_b,T_b) = V_R ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wf__converse__trancl_0,axiom, % 1.23/1.24 ( c_Wellfounded_Owf(c_Relation_Oconverse(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a),T_a) % 1.23/1.24 | ~ c_Wellfounded_Owf(c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_refl__on__converse_0,axiom, % 1.23/1.24 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.23/1.24 | ~ c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_refl__on__converse_1,axiom, % 1.23/1.24 ( c_Relation_Orefl__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.23/1.24 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wf__comp__self_0,axiom, % 1.23/1.24 ( c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) % 1.23/1.24 | ~ c_Wellfounded_Owf(V_R,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_wf__comp__self_1,axiom, % 1.23/1.24 ( c_Wellfounded_Owf(V_R,T_a) % 1.23/1.24 | ~ c_Wellfounded_Owf(c_Relation_Orel__comp(V_R,V_R,T_a,T_a,T_a),T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Image__Id_0,axiom, % 1.23/1.24 c_Relation_OImage(c_Relation_OId(T_a),V_A,T_a,T_a) = V_A ). % 1.23/1.24 % 1.23/1.24 cnf(cls_Domain__Id__on_0,axiom, % 1.23/1.24 c_Relation_ODomain(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ). % 1.23/1.24 % 1.23/1.24 cnf(cls_sym__conv__converse__eq_0,axiom, % 1.23/1.24 ( c_Relation_Oconverse(V_r,T_a,T_a) = V_r % 1.23/1.24 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.24 % 1.23/1.24 cnf(cls_sym__conv__converse__eq_1,axiom, % 1.23/1.24 ( c_Relation_Oconverse(V_r,T_a,T_a) != V_r % 1.23/1.24 | c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_trancl__range_0,axiom, % 1.23/1.25 c_Relation_ORange(c_Transitive__Closure_Otrancl(V_r,T_a),T_a,T_a) = c_Relation_ORange(V_r,T_a,T_a) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_converse__rel__comp_0,axiom, % 1.23/1.25 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) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_sym__Id__on_0,axiom, % 1.23/1.25 c_Relation_Osym(c_Relation_OId__on(V_A,T_a),T_a) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_refl__on__Id__on_0,axiom, % 1.23/1.25 c_Relation_Orefl__on(V_A,c_Relation_OId__on(V_A,T_a),T_a) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_wf__inv__image_0,axiom, % 1.23/1.25 ( c_Wellfounded_Owf(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 1.23/1.25 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_sym__inv__image_0,axiom, % 1.23/1.25 ( c_Relation_Osym(c_Relation_Oinv__image(V_r,V_f,T_a,T_b),T_b) % 1.23/1.25 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_converse__Id_0,axiom, % 1.23/1.25 c_Relation_Oconverse(c_Relation_OId(T_a),T_a,T_a) = c_Relation_OId(T_a) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_wf__trancl_0,axiom, % 1.23/1.25 ( c_Wellfounded_Owf(c_Transitive__Closure_Otrancl(V_r,T_a),T_a) % 1.23/1.25 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_O__assoc_0,axiom, % 1.23/1.25 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) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_converse__inv__image_0,axiom, % 1.23/1.25 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) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_trancl__converse_0,axiom, % 1.23/1.25 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) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_converse__Id__on_0,axiom, % 1.23/1.25 c_Relation_Oconverse(c_Relation_OId__on(V_A,T_a),T_a,T_a) = c_Relation_OId__on(V_A,T_a) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_comp__equivI_0,axiom, % 1.23/1.25 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) != V_r % 1.23/1.25 | c_Equiv__Relations_Oequiv(c_Relation_ODomain(V_r,T_a,T_a),V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Range__converse_0,axiom, % 1.23/1.25 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) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Range__Id__on_0,axiom, % 1.23/1.25 c_Relation_ORange(c_Relation_OId__on(V_A,T_a),T_a,T_a) = V_A ). % 1.23/1.25 % 1.23/1.25 cnf(cls_converse__converse_0,axiom, % 1.23/1.25 c_Relation_Oconverse(c_Relation_Oconverse(V_r,T_a,T_b),T_b,T_a) = V_r ). % 1.23/1.25 % 1.23/1.25 cnf(cls_equiv__comp__eq_0,axiom, % 1.23/1.25 ( c_Relation_Orel__comp(c_Relation_Oconverse(V_r,T_a,T_a),V_r,T_a,T_a,T_a) = V_r % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_equiv_Orefl__on_0,axiom, % 1.23/1.25 ( c_Relation_Orefl__on(V_A,V_r,T_a) % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Union__quotient_0,axiom, % 1.23/1.25 ( c_Complete__Lattice_OSup__class_OSup(c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) = V_A % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_equiv_Osym_0,axiom, % 1.23/1.25 ( c_Relation_Osym(V_r,T_a) % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Domain__converse_0,axiom, % 1.23/1.25 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) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Range__def_0,axiom, % 1.23/1.25 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) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_total__on__converse_0,axiom, % 1.23/1.25 ( c_Relation_Ototal__on(V_A,V_r,T_a) % 1.23/1.25 | ~ c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_total__on__converse_1,axiom, % 1.23/1.25 ( c_Relation_Ototal__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a) % 1.23/1.25 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Id__on__iff_0,axiom, % 1.23/1.25 ( V_x = V_y % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_cuts__eq_0,axiom, % 1.23/1.25 ( 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) % 1.23/1.25 | hAPP(V_f,V_y) = hAPP(V_g,V_y) % 1.23/1.25 | ~ c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_pair__in__Id__conv_0,axiom, % 1.23/1.25 ( V_a = V_b % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Nitpick_Orefl_H__def_0,axiom, % 1.23/1.25 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Nitpick_Orefl_H(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_wf__irrefl_0,axiom, % 1.23/1.25 ( ~ c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Wellfounded_Owf(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__inv__image_1,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__inv__image_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_sym__def_0,axiom, % 1.23/1.25 ( c_in(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_symD_0,axiom, % 1.23/1.25 ( c_in(c_Pair(V_b,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Relation_Osym(V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_rel__compI_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ c_in(c_Pair(V_b,V_c,T_b,T_c),V_s,tc_prod(T_b,T_c)) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_r__r__into__trancl_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ c_in(c_Pair(V_b,V_c,T_a,T_a),V_R,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_R,tc_prod(T_a,T_a)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_trancl__trans_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_pair__in__Id__conv_1,axiom, % 1.23/1.25 c_in(c_Pair(V_x,V_x,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_IdI_0,axiom, % 1.23/1.25 c_in(c_Pair(V_a,V_a,T_a,T_a),c_Relation_OId(T_a),tc_prod(T_a,T_a)) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Pi__mem_0,axiom, % 1.23/1.25 ( c_in(hAPP(V_f,V_x),hAPP(V_B,V_x),T_b) % 1.23/1.25 | ~ c_in(V_x,V_A,T_a) % 1.23/1.25 | ~ c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_PiE_0,axiom, % 1.23/1.25 ( ~ c_in(V_x,V_A,T_a) % 1.23/1.25 | c_in(hAPP(V_f,V_x),hAPP(V_B,V_x),T_b) % 1.23/1.25 | ~ c_in(V_f,c_FuncSet_OPi(V_A,V_B,T_a,T_b),tc_fun(T_a,T_b)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_quotient__eqI_0,axiom, % 1.23/1.25 ( V_X = V_Y % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(V_y,V_Y,T_a) % 1.23/1.25 | ~ c_in(V_x,V_X,T_a) % 1.23/1.25 | ~ c_in(V_Y,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 1.23/1.25 | ~ c_in(V_X,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_quotient__eq__iff_0,axiom, % 1.23/1.25 ( ~ c_in(V_y,V_x,T_a) % 1.23/1.25 | ~ c_in(V_xa,V_x,T_a) % 1.23/1.25 | ~ c_in(V_x,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 1.23/1.25 | ~ c_in(V_x,c_Equiv__Relations_Oquotient(V_A,V_r,T_a),tc_fun(T_a,tc_bool)) % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) % 1.23/1.25 | c_in(c_Pair(V_xa,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_InterD_0,axiom, % 1.23/1.25 ( c_in(V_A,V_X,T_a) % 1.23/1.25 | ~ c_in(V_X,V_C,tc_fun(T_a,tc_bool)) % 1.23/1.25 | ~ c_in(V_A,c_Complete__Lattice_OInf__class_OInf(V_C,tc_fun(T_a,tc_bool)),T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_UnionI_0,axiom, % 1.23/1.25 ( c_in(V_A,c_Complete__Lattice_OSup__class_OSup(V_C,tc_fun(T_a,tc_bool)),T_a) % 1.23/1.25 | ~ c_in(V_A,V_X,T_a) % 1.23/1.25 | ~ c_in(V_X,V_C,tc_fun(T_a,tc_bool)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mktop_5,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | V_x = V_z ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mktop_3,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_y = V_z % 1.23/1.25 | V_x = V_z ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mktop_1,axiom, % 1.23/1.25 ~ 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)) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mktop_0,axiom, % 1.23/1.25 ~ 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)) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mktop_2,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | V_y = V_z % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mkbot_4,axiom, % 1.23/1.25 ( V_x = V_y % 1.23/1.25 | V_y = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mkbot_1,axiom, % 1.23/1.25 ~ 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)) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mkbot_0,axiom, % 1.23/1.25 ~ 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)) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mkbot_5,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | V_y = V_z ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mkbot_3,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_z % 1.23/1.25 | V_y = V_z ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mktop_4,axiom, % 1.23/1.25 ( V_xa = V_x % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__mkbot_2,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | V_x = V_z % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_complete__Lin_1,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_complete__Lin_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_mktop__Lin_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_mkbot__Lin_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_below__Lin_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_linear__alt_0,axiom, % 1.23/1.25 c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_converse__in__Lin_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ c_in(c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_converse__in__Lin_1,axiom, % 1.23/1.25 ( c_in(c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_above__Lin_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_mem__Sigma__iff_2,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ c_in(V_b,hAPP(V_B,V_a),T_b) % 1.23/1.25 | ~ c_in(V_a,V_A,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_SigmaI_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ c_in(V_b,hAPP(V_B,V_a),T_b) % 1.23/1.25 | ~ c_in(V_a,V_A,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_acc__downward_0,axiom, % 1.23/1.25 ( c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(V_b,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_acc_Ocases_0,axiom, % 1.23/1.25 ( c_in(V_y,c_Wellfounded_Oacc(V_r,T_a),T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_y,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(V_a,c_Wellfounded_Oacc(V_r,T_a),T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_rev__ImageI_0,axiom, % 1.23/1.25 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_a,T_b),T_b) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) % 1.23/1.25 | ~ c_in(V_a,V_A,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Image__iff_2,axiom, % 1.23/1.25 ( c_in(V_b,c_Relation_OImage(V_r,V_A,T_b,T_a),T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_b,T_b,T_a),V_r,tc_prod(T_b,T_a)) % 1.23/1.25 | ~ c_in(V_x,V_A,T_b) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Id__on__iff_1,axiom, % 1.23/1.25 ( c_in(V_x,V_A,T_a) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Id__on__eqI_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ c_in(V_x,V_A,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_equiv__class__eq__iff_2,axiom, % 1.23/1.25 ( c_in(V_y,V_A,T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_equiv__class__eq__iff_1,axiom, % 1.23/1.25 ( c_in(V_x,V_A,T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Equiv__Relations_Oequiv(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Range__iff_1,axiom, % 1.23/1.25 ( c_in(V_a,c_Relation_ORange(V_r,T_b,T_a),T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_a,T_b,T_a),V_r,tc_prod(T_b,T_a)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_RangeI_0,axiom, % 1.23/1.25 ( c_in(V_b,c_Relation_ORange(V_r,T_a,T_b),T_b) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Domain__iff_1,axiom, % 1.23/1.25 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_x,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_DomainI_0,axiom, % 1.23/1.25 ( c_in(V_a,c_Relation_ODomain(V_r,T_a,T_b),T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_SigmaD2_0,axiom, % 1.23/1.25 ( c_in(V_b,hAPP(V_B,V_a),T_b) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_SigmaD1_0,axiom, % 1.23/1.25 ( c_in(V_a,V_A,T_a) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_total__on__def_0,axiom, % 1.23/1.25 ( c_in(c_Pair(V_xa,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | c_in(c_Pair(V_x,V_xa,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | V_x = V_xa % 1.23/1.25 | ~ c_in(V_xa,V_A,T_a) % 1.23/1.25 | ~ c_in(V_x,V_A,T_a) % 1.23/1.25 | ~ c_Relation_Ototal__on(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_refl__on__def_1,axiom, % 1.23/1.25 ( c_in(c_Pair(V_x,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(V_x,V_A,T_a) % 1.23/1.25 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_refl__onD2_0,axiom, % 1.23/1.25 ( c_in(V_y,V_A,T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_refl__onD1_0,axiom, % 1.23/1.25 ( c_in(V_x,V_A,T_a) % 1.23/1.25 | ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_refl__onD_0,axiom, % 1.23/1.25 ( c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) % 1.23/1.25 | ~ c_in(V_a,V_A,T_a) % 1.23/1.25 | ~ c_Relation_Orefl__on(V_A,V_r,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_0,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_7,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_6,axiom, % 1.23/1.25 ( V_x = V_b % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_3,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | V_y = V_b % 1.23/1.25 | V_x = V_b % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_2,axiom, % 1.23/1.25 ( V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_x % 1.23/1.25 | 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)) % 1.23/1.25 | V_xa = V_a ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_1,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_13,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_12,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_x % 1.23/1.25 | 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_10,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_a % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_8,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_y = V_a % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_5,axiom, % 1.23/1.25 ( V_xa = V_x % 1.23/1.25 | V_x = V_xa % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_xa % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_14,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_11,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_9,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_4,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_y = V_b % 1.23/1.25 | V_x = V_b % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_0,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_7,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_y = V_x % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_6,axiom, % 1.23/1.25 ( V_x = V_a % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_x % 1.23/1.25 | 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_3,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | V_x = V_a % 1.23/1.25 | V_y = V_a % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_2,axiom, % 1.23/1.25 ( V_y = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | 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)) % 1.23/1.25 | V_y = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_1,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_13,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_12,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_10,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_y = V_b % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_8,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__above_5,axiom, % 1.23/1.25 ( V_xa = V_x % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_14,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_11,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_x = V_xa % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_xa % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_9,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | V_xa = V_x % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_b % 1.23/1.25 | 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_in__below_4,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_a % 1.23/1.25 | V_y = V_a % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_a = V_b ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Pair__eq_1,axiom, % 1.23/1.25 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.23/1.25 | V_b = V_b_H ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Pair__eq_0,axiom, % 1.23/1.25 ( c_Pair(V_a,V_b,T_a,T_b) != c_Pair(V_a_H,V_b_H,T_a,T_b) % 1.23/1.25 | V_a = V_a_H ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_notin__Lin__iff_1,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_notin__Lin__iff_0,axiom, % 1.23/1.25 ( 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)) % 1.23/1.25 | 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)) % 1.23/1.25 | V_x = V_y % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_mem__def_1,axiom, % 1.23/1.25 ( c_in(V_x,V_S,T_a) % 1.23/1.25 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_mem__def_0,axiom, % 1.23/1.25 ( hBOOL(hAPP(V_S,V_x)) % 1.23/1.25 | ~ c_in(V_x,V_S,T_a) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_that_0,axiom, % 1.23/1.25 ( v_thesis____ % 1.23/1.25 | ~ c_in(V_Lba,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) % 1.23/1.25 | ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_Lba,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_Lin__irrefl_0,axiom, % 1.23/1.25 ( ~ 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)) % 1.23/1.25 | ~ 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)) % 1.23/1.25 | ~ 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)) ) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_CHAINED_0,axiom, % 1.23/1.25 v_a____ != v_b____ ). % 1.23/1.25 % 1.23/1.25 cnf(cls_conjecture_0,negated_conjecture, % 1.23/1.25 ~ v_thesis____ ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_prod__Finite__Set_Ofinite_Ofinite,axiom, % 1.23/1.25 ( class_Finite__Set_Ofinite_Ofinite(tc_prod(T_2,T_1)) % 1.23/1.25 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 1.23/1.25 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 1.23/1.25 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 1.23/1.25 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Lattices_Olattice(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 1.23/1.25 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Lattices_Olattice(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 1.23/1.25 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 1.23/1.25 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 1.23/1.25 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 1.23/1.25 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Orderings_Opreorder(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Lattices_Olattice,axiom, % 1.23/1.25 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Lattices_Olattice(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__Orderings_Oorder,axiom, % 1.23/1.25 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_Orderings_Oorder(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_fun__HOL_Oord,axiom, % 1.23/1.25 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 1.23/1.25 | ~ class_HOL_Oord(T_1) ) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 1.23/1.25 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 1.23/1.25 class_Lattices_Oupper__semilattice(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 1.23/1.25 class_Lattices_Olower__semilattice(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 1.23/1.25 class_Lattices_Odistrib__lattice(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 1.23/1.25 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 1.23/1.25 class_Orderings_Opreorder(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Lattices_Olattice,axiom, % 1.23/1.25 class_Lattices_Olattice(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__Orderings_Oorder,axiom, % 1.23/1.25 class_Orderings_Oorder(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(clsarity_bool__HOL_Oord,axiom, % 1.23/1.25 class_HOL_Oord(tc_bool) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 1.23/1.25 c_fequal(V_x,V_x,T_a) ). % 1.23/1.25 % 1.23/1.25 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 1.23/1.25 ( V_X = V_Y % 1.23/1.25 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 1.23/1.25 % 1.23/1.25 %------------------------------------------------------------------------------ % 1.23/1.25 %------------------------------------------- % 1.23/1.25 % Proof found % 1.23/1.25 % SZS status Theorem for theBenchmark % 1.23/1.25 % SZS output start Proof % 1.23/1.25 %ClaNum:796(EqnAxiom:253) % 1.23/1.25 %VarNum:5523(SingletonVarNum:1720) % 1.23/1.25 %MaxLitNum:7 % 1.23/1.25 %MaxfuncDepth:5 % 1.23/1.25 %SharedTerms:25 % 1.23/1.25 %goalClause: 368 % 1.23/1.25 %singleGoalClaCount:1 % 1.23/1.25 [254]P1(a1) % 1.23/1.25 [255]P2(a1) % 1.23/1.25 [256]P3(a1) % 1.23/1.25 [257]P17(a1) % 1.23/1.25 [258]P18(a1) % 1.23/1.25 [259]P15(a1) % 1.23/1.25 [260]P19(a1) % 1.23/1.25 [261]P20(a1) % 1.23/1.25 [262]P16(a1) % 1.23/1.25 [367]~E(a67,a68) % 1.23/1.25 [368]~P23(a5000) % 1.23/1.25 [278]P14(a65,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [263]P4(f2(x2631),x2631) % 1.23/1.25 [264]P5(f2(x2641),x2641) % 1.23/1.25 [270]E(f54(f2(x2701),x2701,x2701),f2(x2701)) % 1.23/1.25 [269]P11(x2691,x2691,x2692) % 1.23/1.25 [265]P4(f52(x2651,x2652),x2652) % 1.23/1.25 [266]P4(f53(x2661,x2662),x2662) % 1.23/1.25 [267]P5(f53(x2671,x2672),x2672) % 1.23/1.25 [272]P13(x2721,x2721,f64(x2722,a1)) % 1.23/1.25 [275]P6(x2751,f53(x2751,x2752),x2752) % 1.23/1.25 [313]P14(f46(x3131,x3131,x3132,x3132),f2(x3132),f66(x3132,x3132)) % 1.23/1.25 [268]E(f52(f52(x2681,x2682),x2682),f52(x2681,x2682)) % 1.23/1.25 [273]E(f3(x2731,x2731,f64(x2732,a1)),x2731) % 1.23/1.25 [274]E(f4(x2741,x2741,f64(x2742,a1)),x2741) % 1.23/1.25 [276]E(f45(f53(x2761,x2762),x2762,x2762),x2761) % 1.23/1.25 [277]E(f54(f53(x2771,x2772),x2772,x2772),f53(x2771,x2772)) % 1.23/1.25 [288]E(f54(f52(x2881,x2882),x2882,x2882),f52(f54(x2881,x2882,x2882),x2882)) % 1.23/1.25 [296]E(f55(f2(x2961),x2962,x2961,x2961),x2962) % 1.23/1.25 [330]E(f59(f52(x3301,x3302),f52(x3301,x3302),x3302,x3302,x3302),f52(x3301,x3302)) % 1.23/1.25 [340]E(f3(f45(f54(x3401,x3402,x3402),x3402,x3402),f45(f54(f54(x3401,x3402,x3402),x3402,x3402),x3402,x3402),f64(x3402,a1)),f3(f45(x3401,x3402,x3402),f45(f54(x3401,x3402,x3402),x3402,x3402),f64(x3402,a1))) % 1.23/1.25 [346]E(f59(f52(x3461,x3462),x3461,x3462,x3462,x3462),f59(x3461,f52(x3461,x3462),x3462,x3462,x3462)) % 1.23/1.25 [347]P4(f59(x3471,f52(x3471,x3472),x3472,x3472,x3472),x3472) % 1.23/1.25 [286]E(f3(f52(x2861,x2862),f2(x2862),f64(f66(x2862,x2862),a1)),f52(x2861,x2862)) % 1.23/1.25 [289]E(f45(f54(f53(x2891,x2892),x2892,x2892),x2892,x2892),x2891) % 1.23/1.25 [309]P5(f3(x3091,f54(x3091,x3092,x3092),f64(f66(x3092,x3092),a1)),x3092) % 1.23/1.25 [310]P5(f4(x3101,f54(x3101,x3102,x3102),f64(f66(x3102,x3102),a1)),x3102) % 1.23/1.25 [326]P13(f53(x3261,x3262),f50(x3261,f33(x3261,f64(x3262,a1),x3262),x3262,x3262),f64(f66(x3262,x3262),a1)) % 1.23/1.25 [332]E(f59(f52(x3321,x3322),f52(f52(x3321,x3322),x3322),x3322,x3322,x3322),f52(x3321,x3322)) % 1.23/1.25 [348]E(f52(f59(x3481,f52(x3481,x3482),x3482,x3482,x3482),x3482),f52(x3481,x3482)) % 1.23/1.25 [349]E(f45(f59(x3491,f52(x3491,x3492),x3492,x3492,x3492),x3492,x3492),f45(x3491,x3492,x3492)) % 1.23/1.25 [350]E(f3(f2(x3501),f59(f52(x3502,x3501),x3502,x3501,x3501,x3501),f64(f66(x3501,x3501),a1)),f52(x3502,x3501)) % 1.23/1.25 [352]E(f3(f59(x3521,f52(x3521,x3522),x3522,x3522,x3522),f2(x3522),f64(f66(x3522,x3522),a1)),f52(x3521,x3522)) % 1.23/1.25 [358]E(f59(f54(x3581,x3582,x3582),f52(f54(x3581,x3582,x3582),x3582),x3582,x3582,x3582),f54(f59(x3581,f52(x3581,x3582),x3582,x3582,x3582),x3582,x3582)) % 1.23/1.25 [365]E(f3(x3651,f59(f59(x3651,f52(x3651,x3652),x3652,x3652,x3652),x3651,x3652,x3652,x3652),f64(f66(x3652,x3652),a1)),f59(x3651,f52(x3651,x3652),x3652,x3652,x3652)) % 1.23/1.25 [366]P13(f59(x3661,f52(x3661,x3662),x3662,x3662,x3662),f50(f3(f45(x3661,x3662,x3662),f45(f54(x3661,x3662,x3662),x3662,x3662),f64(x3662,a1)),f33(f3(f45(x3661,x3662,x3662),f45(f54(x3661,x3662,x3662),x3662,x3662),f64(x3662,a1)),f64(x3662,a1),x3662),x3662,x3662),f64(f66(x3662,x3662),a1)) % 1.23/1.25 [297]E(f52(f3(x2971,f2(x2972),f64(f66(x2972,x2972),a1)),x2972),f52(x2971,x2972)) % 1.23/1.25 [360]E(f45(f54(f59(x3601,f52(x3601,x3602),x3602,x3602,x3602),x3602,x3602),x3602,x3602),f45(f54(x3601,x3602,x3602),x3602,x3602)) % 1.23/1.25 [342]E(f59(f3(x3421,f2(x3422),f64(f66(x3422,x3422),a1)),f52(f3(x3421,f2(x3422),f64(f66(x3422,x3422),a1)),x3422),x3422,x3422,x3422),f52(x3421,x3422)) % 1.23/1.25 [284]P14(x2841,f56(x2841,x2842,x2843),x2843) % 1.23/1.25 [287]P13(x2871,f56(x2872,x2871,x2873),f64(x2873,a1)) % 1.23/1.25 [315]P14(f46(x3151,x3151,x3152,x3152),f52(x3153,x3152),f66(x3152,x3152)) % 1.23/1.25 [369]~P14(f46(x3691,x3692,a60,a60),f34(x3693,x3691),f66(a60,a60)) % 1.23/1.25 [370]~P14(f46(x3701,x3702,a60,a60),f35(x3703,x3702),f66(a60,a60)) % 1.23/1.25 [280]E(f3(x2801,x2802,f64(x2803,a1)),f3(x2802,x2801,f64(x2803,a1))) % 1.23/1.25 [281]E(f4(x2811,x2812,f64(x2813,a1)),f4(x2812,x2811,f64(x2813,a1))) % 1.23/1.25 [285]E(f54(f54(x2851,x2852,x2853),x2853,x2852),x2851) % 1.23/1.25 [290]E(f56(x2901,f56(x2901,x2902,x2903),x2903),f56(x2901,x2902,x2903)) % 1.23/1.25 [291]P13(x2911,f3(x2912,x2911,f64(x2913,a1)),f64(x2913,a1)) % 1.23/1.25 [292]P13(x2921,f3(x2921,x2922,f64(x2923,a1)),f64(x2923,a1)) % 1.23/1.25 [293]P13(f4(x2931,x2932,f64(x2933,a1)),x2932,f64(x2933,a1)) % 1.23/1.25 [294]P13(f4(x2941,x2942,f64(x2943,a1)),x2941,f64(x2943,a1)) % 1.23/1.25 [295]P22(f61(f56(x2951,x2952,x2953),x2951)) % 1.23/1.25 [298]E(f3(x2981,f3(x2981,x2982,f64(x2983,a1)),f64(x2983,a1)),f3(x2981,x2982,f64(x2983,a1))) % 1.23/1.25 [299]E(f4(x2991,f4(x2991,x2992,f64(x2993,a1)),f64(x2993,a1)),f4(x2991,x2992,f64(x2993,a1))) % 1.23/1.25 [301]E(f55(f53(x3011,x3012),x3013,x3012,x3012),f4(x3011,x3013,f64(x3012,a1))) % 1.23/1.25 [328]E(f59(x3281,f2(x3282),x3283,x3282,x3282),x3281) % 1.23/1.25 [329]E(f59(f2(x3291),x3292,x3291,x3291,x3293),x3292) % 1.23/1.25 [359]E(f3(f3(f45(x3591,x3592,x3592),f45(f54(x3591,x3592,x3592),x3592,x3592),f64(x3592,a1)),f3(f45(x3593,x3592,x3592),f45(f54(x3593,x3592,x3592),x3592,x3592),f64(x3592,a1)),f64(x3592,a1)),f3(f45(f3(x3591,x3593,f64(f66(x3592,x3592),a1)),x3592,x3592),f45(f54(f3(x3591,x3593,f64(f66(x3592,x3592),a1)),x3592,x3592),x3592,x3592),f64(x3592,a1))) % 1.23/1.25 [304]E(f45(f54(f54(x3041,x3042,x3043),x3043,x3042),x3042,x3043),f45(x3041,x3042,x3043)) % 1.23/1.25 [321]E(f52(f3(f52(x3211,x3212),f52(x3213,x3212),f64(f66(x3212,x3212),a1)),x3212),f52(f3(x3211,x3213,f64(f66(x3212,x3212),a1)),x3212)) % 1.23/1.25 [327]P13(f3(f52(x3271,x3272),f52(x3273,x3272),f64(f66(x3272,x3272),a1)),f52(f3(x3271,x3273,f64(f66(x3272,x3272),a1)),x3272),f64(f66(x3272,x3272),a1)) % 1.23/1.25 [279]E(f61(f33(x2791,x2792,x2793),x2794),x2791) % 1.23/1.25 [300]E(f56(x3001,f56(x3002,x3003,x3004),x3004),f56(x3002,f56(x3001,x3003,x3004),x3004)) % 1.23/1.25 [305]E(f3(x3051,f3(x3052,x3053,f64(x3054,a1)),f64(x3054,a1)),f3(x3052,f3(x3051,x3053,f64(x3054,a1)),f64(x3054,a1))) % 1.23/1.25 [306]E(f4(x3061,f4(x3062,x3063,f64(x3064,a1)),f64(x3064,a1)),f4(x3062,f4(x3061,x3063,f64(x3064,a1)),f64(x3064,a1))) % 1.23/1.25 [307]E(f3(f3(x3071,x3072,f64(x3073,a1)),x3074,f64(x3073,a1)),f3(x3071,f3(x3072,x3074,f64(x3073,a1)),f64(x3073,a1))) % 1.23/1.25 [308]E(f4(f4(x3081,x3082,f64(x3083,a1)),x3084,f64(x3083,a1)),f4(x3081,f4(x3082,x3084,f64(x3083,a1)),f64(x3083,a1))) % 1.23/1.25 [317]E(f4(f3(x3171,x3172,f64(x3173,a1)),f3(x3171,x3174,f64(x3173,a1)),f64(x3173,a1)),f3(x3171,f4(x3172,x3174,f64(x3173,a1)),f64(x3173,a1))) % 1.23/1.25 [318]E(f3(f4(x3181,x3182,f64(x3183,a1)),f4(x3181,x3184,f64(x3183,a1)),f64(x3183,a1)),f4(x3181,f3(x3182,x3184,f64(x3183,a1)),f64(x3183,a1))) % 1.23/1.25 [319]E(f4(f3(x3191,x3192,f64(x3193,a1)),f3(x3194,x3192,f64(x3193,a1)),f64(x3193,a1)),f3(f4(x3191,x3194,f64(x3193,a1)),x3192,f64(x3193,a1))) % 1.23/1.25 [320]E(f3(f4(x3201,x3202,f64(x3203,a1)),f4(x3204,x3202,f64(x3203,a1)),f64(x3203,a1)),f4(f3(x3201,x3204,f64(x3203,a1)),x3202,f64(x3203,a1))) % 1.23/1.25 [324]E(f54(f57(x3241,x3242,x3243,x3244),x3244,x3244),f57(f54(x3241,x3243,x3243),x3242,x3243,x3244)) % 1.23/1.25 [341]E(f4(f4(f3(x3411,x3412,f64(x3413,a1)),f3(x3412,x3414,f64(x3413,a1)),f64(x3413,a1)),f3(x3414,x3411,f64(x3413,a1)),f64(x3413,a1)),f3(f3(f4(x3411,x3412,f64(x3413,a1)),f4(x3412,x3414,f64(x3413,a1)),f64(x3413,a1)),f4(x3414,x3411,f64(x3413,a1)),f64(x3413,a1))) % 1.23/1.25 [302]E(f56(x3021,f3(x3022,x3023,f64(x3024,a1)),x3024),f3(x3022,f56(x3021,x3023,x3024),f64(x3024,a1))) % 1.23/1.25 [303]E(f56(x3031,f3(x3032,x3033,f64(x3034,a1)),x3034),f3(f56(x3031,x3032,x3034),x3033,f64(x3034,a1))) % 1.23/1.25 [311]E(f4(f56(x3111,x3112,x3113),f56(x3111,x3114,x3113),f64(x3113,a1)),f56(x3111,f4(x3112,x3114,f64(x3113,a1)),x3113)) % 1.23/1.25 [316]E(f3(f45(x3161,x3162,x3163),f45(x3164,x3162,x3163),f64(x3162,a1)),f45(f3(x3161,x3164,f64(f66(x3162,x3163),a1)),x3162,x3163)) % 1.23/1.25 [322]E(f3(f54(x3221,x3222,x3223),f54(x3224,x3222,x3223),f64(f66(x3223,x3222),a1)),f54(f3(x3221,x3224,f64(f66(x3222,x3223),a1)),x3222,x3223)) % 1.23/1.25 [323]E(f4(f54(x3231,x3232,x3233),f54(x3234,x3232,x3233),f64(f66(x3233,x3232),a1)),f54(f4(x3231,x3234,f64(f66(x3232,x3233),a1)),x3232,x3233)) % 1.23/1.25 [331]P13(f45(f4(x3311,x3312,f64(f66(x3313,x3314),a1)),x3313,x3314),f4(f45(x3311,x3313,x3314),f45(x3312,x3313,x3314),f64(x3313,a1)),f64(x3313,a1)) % 1.23/1.25 [334]E(f3(f45(f54(x3341,x3342,x3343),x3343,x3342),f45(f54(x3344,x3342,x3343),x3343,x3342),f64(x3343,a1)),f45(f54(f3(x3341,x3344,f64(f66(x3342,x3343),a1)),x3342,x3343),x3343,x3342)) % 1.23/1.25 [354]P13(f45(f54(f4(x3541,x3542,f64(f66(x3543,x3544),a1)),x3543,x3544),x3544,x3543),f4(f45(f54(x3541,x3543,x3544),x3544,x3543),f45(f54(x3542,x3543,x3544),x3544,x3543),f64(x3544,a1)),f64(x3544,a1)) % 1.23/1.25 [325]E(f58(x3251,f56(x3252,x3253,x3254),x3254,x3255),f56(f61(x3251,x3252),f58(x3251,x3253,x3254,x3255),x3255)) % 1.23/1.25 [357]E(f59(f54(x3571,x3572,x3573),f54(x3574,x3575,x3572),x3573,x3572,x3575),f54(f59(x3574,x3571,x3575,x3572,x3573),x3575,x3573)) % 1.23/1.25 [333]E(f45(f56(f46(x3331,x3332,x3333,x3334),x3335,f66(x3333,x3334)),x3333,x3334),f56(x3331,f45(x3335,x3333,x3334),x3333)) % 1.23/1.25 [335]E(f3(f58(x3351,x3352,x3353,x3354),f58(x3351,x3355,x3353,x3354),f64(x3354,a1)),f58(x3351,f3(x3352,x3355,f64(x3353,a1)),x3353,x3354)) % 1.23/1.25 [336]E(f3(f55(x3361,x3362,x3363,x3364),f55(x3361,x3365,x3363,x3364),f64(x3364,a1)),f55(x3361,f3(x3362,x3365,f64(x3363,a1)),x3363,x3364)) % 1.23/1.25 [337]E(f3(f50(x3371,x3372,x3373,x3374),f50(x3375,x3372,x3373,x3374),f64(f66(x3373,x3374),a1)),f50(f3(x3371,x3375,f64(x3373,a1)),x3372,x3373,x3374)) % 1.23/1.25 [338]E(f4(f50(x3381,x3382,x3383,x3384),f50(x3385,x3382,x3383,x3384),f64(f66(x3383,x3384),a1)),f50(f4(x3381,x3385,f64(x3383,a1)),x3382,x3383,x3384)) % 1.23/1.25 [355]P13(f58(x3551,f4(x3552,x3553,f64(x3554,a1)),x3554,x3555),f4(f58(x3551,x3552,x3554,x3555),f58(x3551,x3553,x3554,x3555),f64(x3555,a1)),f64(x3555,a1)) % 1.23/1.25 [356]P13(f55(x3561,f4(x3562,x3563,f64(x3564,a1)),x3564,x3565),f4(f55(x3561,x3562,x3564,x3565),f55(x3561,x3563,x3564,x3565),f64(x3565,a1)),f64(x3565,a1)) % 1.23/1.25 [339]E(f3(f55(x3391,x3392,x3393,x3394),f55(x3395,x3392,x3393,x3394),f64(x3394,a1)),f55(f3(x3391,x3395,f64(f66(x3393,x3394),a1)),x3392,x3393,x3394)) % 1.23/1.25 [353]E(f45(f54(f56(f46(x3531,x3532,x3533,x3534),x3535,f66(x3533,x3534)),x3533,x3534),x3534,x3533),f56(x3532,f45(f54(x3535,x3533,x3534),x3534,x3533),x3534)) % 1.23/1.25 [361]E(f56(f46(x3611,x3612,x3613,x3614),f3(f50(x3615,f33(f56(x3612,x3616,x3614),f64(x3614,a1),x3613),x3613,x3614),f50(f56(x3611,x3615,x3613),f33(x3616,f64(x3614,a1),x3613),x3613,x3614),f64(f66(x3613,x3614),a1)),f66(x3613,x3614)),f50(f56(x3611,x3615,x3613),f33(f56(x3612,x3616,x3614),f64(x3614,a1),x3613),x3613,x3614)) % 1.23/1.25 [362]E(f3(f59(x3621,x3622,x3623,x3624,x3625),f59(x3621,x3626,x3623,x3624,x3625),f64(f66(x3623,x3625),a1)),f59(x3621,f3(x3622,x3626,f64(f66(x3624,x3625),a1)),x3623,x3624,x3625)) % 1.23/1.25 [363]E(f3(f59(x3631,x3632,x3633,x3634,x3635),f59(x3636,x3632,x3633,x3634,x3635),f64(f66(x3633,x3635),a1)),f59(f3(x3631,x3636,f64(f66(x3633,x3634),a1)),x3632,x3633,x3634,x3635)) % 1.23/1.25 [364]E(f59(f59(x3641,x3642,x3643,x3644,x3645),x3646,x3643,x3645,x3647),f59(x3641,f59(x3642,x3646,x3644,x3645,x3647),x3643,x3644,x3647)) % 1.23/1.25 [547]~P14(x5471,a5,f64(f66(a60,a60),a1))+P14(f54(x5471,a60,a60),a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [566]P14(x5661,a5,f64(f66(a60,a60),a1))+~P14(f54(x5661,a60,a60),a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [373]~P15(x3732)+P7(x3731,x3732) % 1.23/1.25 [384]~P19(x3842)+P13(x3841,x3841,x3842) % 1.23/1.25 [385]~P20(x3852)+P13(x3851,x3851,x3852) % 1.23/1.25 [374]~P17(x3742)+P1(f64(x3741,x3742)) % 1.23/1.25 [375]~P2(x3752)+P2(f64(x3751,x3752)) % 1.23/1.25 [376]~P3(x3762)+P3(f64(x3761,x3762)) % 1.23/1.25 [377]~P17(x3772)+P17(f64(x3771,x3772)) % 1.23/1.25 [378]~P17(x3782)+P18(f64(x3781,x3782)) % 1.23/1.25 [379]~P19(x3792)+P19(f64(x3791,x3792)) % 1.23/1.25 [380]~P20(x3802)+P20(f64(x3801,x3802)) % 1.23/1.25 [381]~P16(x3812)+P16(f64(x3811,x3812)) % 1.23/1.25 [386]~P1(x3862)+E(f3(x3861,x3861,x3862),x3861) % 1.23/1.25 [387]~P18(x3872)+E(f4(x3871,x3871,x3872),x3871) % 1.23/1.25 [388]~P5(x3881,x3882)+P5(f52(x3881,x3882),x3882) % 1.23/1.25 [389]~P5(x3891,x3892)+E(f54(x3891,x3892,x3892),x3891) % 1.23/1.25 [393]P5(x3931,x3932)+~E(f54(x3931,x3932,x3932),x3931) % 1.23/1.25 [404]~P4(x4041,x4042)+P4(f54(x4041,x4042,x4042),x4042) % 1.23/1.25 [406]~P5(x4061,x4062)+P5(f54(x4061,x4062,x4062),x4062) % 1.23/1.25 [431]P12(x4311,x4312)+~P14(f6(x4311,x4312),f62(x4311,x4312),x4312) % 1.23/1.25 [432]P12(x4321,x4322)+~P14(f28(x4321,x4322),f62(x4321,x4322),x4322) % 1.23/1.25 [442]P4(x4421,x4422)+~P4(f54(x4421,x4422,x4422),x4422) % 1.23/1.25 [444]P5(x4441,x4442)+~P5(f54(x4441,x4442,x4442),x4442) % 1.23/1.25 [587]E(x5871,x5872)+P14(f46(x5871,x5872,a60,a60),f69(x5871,x5872),f66(a60,a60)) % 1.23/1.25 [721]~P12(x7211,x7212)+P12(f59(x7211,x7211,x7212,x7212,x7212),x7212) % 1.23/1.25 [752]P12(x7521,x7522)+~P12(f59(x7521,x7521,x7522,x7522,x7522),x7522) % 1.23/1.25 [407]E(x4071,x4072)+P14(f69(x4071,x4072),a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [508]~P14(x5081,a5,f64(f66(a60,a60),a1))+P14(f34(x5081,x5082),a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [509]~P14(x5091,a5,f64(f66(a60,a60),a1))+P14(f35(x5091,x5092),a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [561]~P14(x5611,f2(x5612),f66(x5612,x5612))+E(f46(f10(x5611,x5612),f10(x5611,x5612),x5612,x5612),x5611) % 1.23/1.25 [630]P9(x6301,x6302)+~P14(f46(f48(x6301,x6302),f48(x6301,x6302),x6302,x6302),x6301,f66(x6302,x6302)) % 1.23/1.25 [647]~P4(x6471,x6472)+E(f59(x6471,f52(x6471,x6472),x6472,x6472,x6472),x6471) % 1.23/1.25 [716]P8(f45(x7161,x7162,x7162),x7161,x7162)+~E(f59(f54(x7161,x7162,x7162),x7161,x7162,x7162,x7162),x7161) % 1.23/1.25 [726]~P5(x7261,x7262)+P5(f59(x7261,f52(x7261,x7262),x7262,x7262,x7262),x7262) % 1.23/1.25 [727]~P12(x7271,x7272)+P12(f59(x7271,f52(x7271,x7272),x7272,x7272,x7272),x7272) % 1.23/1.25 [728]~P4(x7281,x7282)+P13(f59(x7281,x7281,x7282,x7282,x7282),x7281,f64(f66(x7282,x7282),a1)) % 1.23/1.25 [488]~P4(x4881,x4882)+P4(f3(x4881,f2(x4882),f64(f66(x4882,x4882),a1)),x4882) % 1.23/1.25 [764]~P12(f54(x7641,x7642,x7642),x7642)+P12(f54(f59(x7641,f52(x7641,x7642),x7642,x7642,x7642),x7642,x7642),x7642) % 1.23/1.25 [390]E(x3901,x3902)+~P11(x3901,x3902,x3903) % 1.23/1.25 [391]P4(x3911,x3912)+~P8(x3913,x3911,x3912) % 1.23/1.25 [392]P5(x3921,x3922)+~P8(x3923,x3921,x3922) % 1.23/1.25 [402]~P8(x4021,x4022,x4023)+P6(x4021,x4022,x4023) % 1.23/1.25 [394]P14(x3941,x3942,x3943)+~P22(f61(x3942,x3941)) % 1.23/1.25 [395]~P12(x3952,x3953)+P14(x3951,f62(x3952,x3953),x3953) % 1.23/1.25 [396]~P1(x3963)+E(f3(x3961,x3962,x3963),f3(x3962,x3961,x3963)) % 1.23/1.25 [397]~P17(x3973)+E(f3(x3971,x3972,x3973),f3(x3972,x3971,x3973)) % 1.23/1.25 [398]~P17(x3983)+E(f4(x3981,x3982,x3983),f4(x3982,x3981,x3983)) % 1.23/1.25 [399]~P18(x3993)+E(f4(x3991,x3992,x3993),f4(x3992,x3991,x3993)) % 1.23/1.25 [400]~P14(x4002,x4001,x4003)+P22(f61(x4001,x4002)) % 1.23/1.25 [403]~P14(x4031,x4032,x4033)+E(f56(x4031,x4032,x4033),x4032) % 1.23/1.25 [405]~P7(x4052,x4053)+P7(f56(x4051,x4052,x4053),x4053) % 1.23/1.25 [416]~P1(x4163)+P13(x4161,f3(x4162,x4161,x4163),x4163) % 1.23/1.25 [417]~P17(x4173)+P13(x4171,f3(x4172,x4171,x4173),x4173) % 1.23/1.25 [418]~P1(x4183)+P13(x4181,f3(x4181,x4182,x4183),x4183) % 1.23/1.25 [419]~P17(x4193)+P13(x4191,f3(x4191,x4192,x4193),x4193) % 1.23/1.25 [420]~P17(x4203)+P13(f4(x4201,x4202,x4203),x4202,x4203) % 1.23/1.25 [421]~P18(x4213)+P13(f4(x4211,x4212,x4213),x4212,x4213) % 1.23/1.25 [422]~P17(x4223)+P13(f4(x4221,x4222,x4223),x4221,x4223) % 1.23/1.25 [423]~P18(x4233)+P13(f4(x4231,x4232,x4233),x4231,x4233) % 1.23/1.25 [443]P7(x4431,x4432)+~P7(f56(x4433,x4431,x4432),x4432) % 1.23/1.25 [455]~P14(x4551,x4552,f66(x4553,x4553))+P14(x4551,f52(x4552,x4553),f66(x4553,x4553)) % 1.23/1.25 [464]~P6(x4641,x4642,x4643)+P6(x4641,f54(x4642,x4643,x4643),x4643) % 1.23/1.25 [465]~P10(x4651,x4652,x4653)+P10(x4651,f54(x4652,x4653,x4653),x4653) % 1.23/1.25 [490]P6(x4901,x4902,x4903)+~P6(x4901,f54(x4902,x4903,x4903),x4903) % 1.23/1.25 [491]P10(x4911,x4912,x4913)+~P10(x4911,f54(x4912,x4913,x4913),x4913) % 1.23/1.25 [510]~P14(x5102,f53(x5101,x5103),f66(x5103,x5103))+P14(f8(x5101,x5102,x5103),x5101,x5103) % 1.23/1.25 [534]~P14(f30(x5342,x5341,x5343),f62(x5342,x5343),x5343)+P14(x5341,f62(x5342,x5343),x5343) % 1.23/1.25 [535]~P14(f15(x5352,x5351,x5353),f62(x5352,x5353),x5353)+P14(x5351,f62(x5352,x5353),x5353) % 1.23/1.25 [585]E(x5851,x5852)+P14(f46(x5851,x5852,a60,a60),f34(x5853,x5852),f66(a60,a60)) % 1.23/1.25 [586]E(x5861,x5862)+P14(f46(x5861,x5862,a60,a60),f35(x5863,x5861),f66(a60,a60)) % 1.23/1.25 [588]~P9(x5883,x5882)+P14(f46(x5881,x5881,x5882,x5882),x5883,f66(x5882,x5882)) % 1.23/1.25 [598]~P14(x5981,x5983,x5982)+P14(f46(x5981,x5981,x5982,x5982),f53(x5983,x5982),f66(x5982,x5982)) % 1.23/1.25 [613]E(x6131,x6132)+~P14(f46(x6131,x6132,x6133,x6133),f2(x6133),f66(x6133,x6133)) % 1.23/1.25 [616]~P12(x6161,x6162)+~P14(f46(x6163,x6163,x6162,x6162),x6161,f66(x6162,x6162)) % 1.23/1.25 [424]~P17(x4243)+E(f3(x4241,f4(x4241,x4242,x4243),x4243),x4241) % 1.23/1.25 [425]~P17(x4253)+E(f4(x4251,f3(x4251,x4252,x4253),x4253),x4251) % 1.23/1.25 [433]~P7(x4332,x4333)+P7(f4(x4331,x4332,f64(x4333,a1)),x4333) % 1.23/1.25 [434]~P7(x4341,x4343)+P7(f4(x4341,x4342,f64(x4343,a1)),x4343) % 1.23/1.25 [437]~P13(x4371,x4372,f64(x4373,a1))+E(f3(x4371,x4372,f64(x4373,a1)),x4372) % 1.23/1.25 [438]~P13(x4382,x4381,f64(x4383,a1))+E(f3(x4381,x4382,f64(x4383,a1)),x4381) % 1.23/1.25 [439]~P13(x4392,x4391,f64(x4393,a1))+E(f4(x4391,x4392,f64(x4393,a1)),x4392) % 1.23/1.25 [440]~P13(x4401,x4402,f64(x4403,a1))+E(f4(x4401,x4402,f64(x4403,a1)),x4401) % 1.23/1.25 [441]P13(x4411,x4412,f64(x4413,a1))+~E(f3(x4411,x4412,f64(x4413,a1)),x4412) % 1.23/1.25 [445]~P3(x4453)+E(f4(x4451,f39(x4452,x4453),x4453),f39(f56(x4451,x4452,x4453),x4453)) % 1.23/1.25 [446]~P3(x4463)+E(f3(x4461,f38(x4462,x4463),x4463),f38(f56(x4461,x4462,x4463),x4463)) % 1.23/1.25 [449]~P1(x4493)+E(f3(x4491,f3(x4491,x4492,x4493),x4493),f3(x4491,x4492,x4493)) % 1.23/1.25 [450]~P17(x4503)+E(f3(x4501,f3(x4501,x4502,x4503),x4503),f3(x4501,x4502,x4503)) % 1.23/1.25 [451]~P17(x4513)+E(f4(x4511,f4(x4511,x4512,x4513),x4513),f4(x4511,x4512,x4513)) % 1.23/1.25 [452]~P18(x4523)+E(f4(x4521,f4(x4521,x4522,x4523),x4523),f4(x4521,x4522,x4523)) % 1.23/1.25 [453]~P8(x4531,x4532,x4533)+E(f38(f40(x4531,x4532,x4533),f64(x4533,a1)),x4531) % 1.23/1.25 [476]~P14(x4761,x4762,f64(x4763,a1))+P13(x4761,f38(x4762,f64(x4763,a1)),f64(x4763,a1)) % 1.23/1.25 [477]~P14(x4773,x4771,f64(x4772,a1))+P13(f39(x4771,f64(x4772,a1)),x4773,f64(x4772,a1)) % 1.23/1.25 [478]P7(x4781,x4782)+~P7(f3(x4783,x4781,f64(x4782,a1)),x4782) % 1.23/1.25 [479]P7(x4791,x4792)+~P7(f3(x4791,x4793,f64(x4792,a1)),x4792) % 1.23/1.25 [492]P14(f7(x4921,x4922,x4923),x4922,f64(x4923,a1))+P14(x4921,f39(x4922,f64(x4923,a1)),x4923) % 1.23/1.25 [519]P13(f62(x5191,x5192),f62(x5193,x5192),f64(x5192,a1))+~P13(x5193,x5191,f64(f66(x5192,x5192),a1)) % 1.23/1.25 [530]P14(x5301,f9(x5301,x5302,x5303),x5303)+~P14(x5301,f38(x5302,f64(x5303,a1)),x5303) % 1.23/1.25 [539]~P14(x5391,f7(x5391,x5392,x5393),x5393)+P14(x5391,f39(x5392,f64(x5393,a1)),x5393) % 1.23/1.25 [544]P14(f9(x5441,x5442,x5443),x5442,f64(x5443,a1))+~P14(x5441,f38(x5442,f64(x5443,a1)),x5443) % 1.23/1.25 [545]~P13(x5451,x5453,f64(f66(x5452,x5452),a1))+P13(f52(x5451,x5452),f52(x5453,x5452),f64(f66(x5452,x5452),a1)) % 1.23/1.25 [554]~P13(x5541,f52(x5543,x5542),f64(f66(x5542,x5542),a1))+P13(f52(x5541,x5542),f52(x5543,x5542),f64(f66(x5542,x5542),a1)) % 1.23/1.25 [591]~P14(x5912,f53(x5911,x5913),f66(x5913,x5913))+E(f46(f8(x5911,x5912,x5913),f8(x5911,x5912,x5913),x5913,x5913),x5912) % 1.23/1.25 [610]P14(x6101,f62(x6102,x6103),x6103)+P14(f46(f30(x6102,x6101,x6103),x6101,x6103,x6103),x6102,f66(x6103,x6103)) % 1.23/1.25 [611]P14(x6111,f62(x6112,x6113),x6113)+P14(f46(f15(x6112,x6111,x6113),x6111,x6113,x6113),x6112,f66(x6113,x6113)) % 1.23/1.25 [655]~P8(x6553,x6551,x6552)+E(f59(f54(x6551,x6552,x6552),x6551,x6552,x6552,x6552),x6551) % 1.23/1.25 [717]P13(f3(f45(x7171,x7172,x7172),f45(f54(x7171,x7172,x7172),x7172,x7172),f64(x7172,a1)),f3(f45(x7173,x7172,x7172),f45(f54(x7173,x7172,x7172),x7172,x7172),f64(x7172,a1)),f64(x7172,a1))+~P13(x7171,x7173,f64(f66(x7172,x7172),a1)) % 1.23/1.25 [735]~P14(x7351,x7352,f66(x7353,x7353))+P14(x7351,f59(x7352,f52(x7352,x7353),x7353,x7353,x7353),f66(x7353,x7353)) % 1.23/1.25 [738]~P6(x7383,x7381,x7382)+P13(x7381,f59(f54(x7381,x7382,x7382),x7381,x7382,x7382,x7382),f64(f66(x7382,x7382),a1)) % 1.23/1.25 [756]~P14(f46(x7563,x7563,x7562,x7562),x7561,f66(x7562,x7562))+P14(f46(f22(x7561,x7562),f22(x7561,x7562),x7562,x7562),f59(x7561,f52(x7561,x7562),x7562,x7562,x7562),f66(x7562,x7562)) % 1.23/1.25 [484]~P12(x4842,x4843)+P12(f4(x4841,x4842,f64(f66(x4843,x4843),a1)),x4843) % 1.23/1.25 [485]~P12(x4851,x4853)+P12(f4(x4851,x4852,f64(f66(x4853,x4853),a1)),x4853) % 1.23/1.25 [620]~P6(x6202,x6201,x6203)+P13(x6201,f50(x6202,f33(x6202,f64(x6203,a1),x6203),x6203,x6203),f64(f66(x6203,x6203),a1)) % 1.23/1.25 [621]~P8(x6212,x6211,x6213)+P13(x6211,f50(x6212,f33(x6212,f64(x6213,a1),x6213),x6213,x6213),f64(f66(x6213,x6213),a1)) % 1.23/1.25 [761]~P13(x7611,f50(x7613,f33(x7613,f64(x7612,a1),x7612),x7612,x7612),f64(f66(x7612,x7612),a1))+P13(f59(x7611,f52(x7611,x7612),x7612,x7612,x7612),f50(x7613,f33(x7613,f64(x7612,a1),x7612),x7612,x7612),f64(f66(x7612,x7612),a1)) % 1.23/1.25 [790]~P12(f3(x7901,x7903,f64(f66(x7902,x7902),a1)),x7902)+P12(f3(f3(f59(x7901,x7901,x7902,x7902,x7902),f59(x7903,x7901,x7902,x7902,x7902),f64(f66(x7902,x7902),a1)),x7903,f64(f66(x7902,x7902),a1)),x7902) % 1.23/1.25 [793]~P12(f3(f3(f59(x7931,x7931,x7933,x7933,x7933),f59(x7932,x7931,x7933,x7933,x7933),f64(f66(x7933,x7933),a1)),x7932,f64(f66(x7933,x7933),a1)),x7933)+P12(f3(x7931,x7932,f64(f66(x7933,x7933),a1)),x7933) % 1.23/1.25 [463]~P14(x4631,x4633,x4634)+P14(x4631,f56(x4632,x4633,x4634),x4634) % 1.23/1.25 [489]~P13(x4891,x4893,f64(x4894,a1))+P13(x4891,f56(x4892,x4893,x4894),f64(x4894,a1)) % 1.23/1.25 [527]P14(x5271,x5272,x5273)+~P13(f56(x5271,x5274,x5273),x5272,f64(x5273,a1)) % 1.23/1.25 [533]~P13(f56(x5334,x5331,x5333),x5332,f64(x5333,a1))+P13(x5331,x5332,f64(x5333,a1)) % 1.23/1.25 [550]~P13(x5502,x5504,f64(x5503,a1))+P13(f56(x5501,x5502,x5503),f56(x5501,x5504,x5503),f64(x5503,a1)) % 1.23/1.25 [575]~P4(x5751,x5753)+P4(f57(x5751,x5752,x5753,x5754),x5754) % 1.23/1.25 [576]~P7(x5762,x5763)+P7(f58(x5761,x5762,x5763,x5764),x5764) % 1.23/1.25 [577]~P5(x5771,x5773)+P5(f57(x5771,x5772,x5773,x5774),x5774) % 1.23/1.25 [578]~P12(x5781,x5783)+P12(f57(x5781,x5782,x5783,x5784),x5784) % 1.23/1.25 [607]P14(f47(x6071,x6072,x6073,x6074),x6071,x6074)+~P14(x6072,f40(x6071,x6073,x6074),f64(x6074,a1)) % 1.23/1.25 [618]E(x6181,x6182)+~P14(f46(x6181,x6182,x6183,x6183),f53(x6184,x6183),f66(x6183,x6183)) % 1.23/1.25 [619]P14(x6191,x6192,x6193)+~P14(f46(x6191,x6194,x6193,x6193),f53(x6192,x6193),f66(x6193,x6193)) % 1.23/1.25 [483]~P22(f61(x4832,x4834))+P22(f61(f56(x4831,x4832,x4833),x4834)) % 1.23/1.25 [486]~P14(x4861,x4863,x4864)+P14(x4861,f3(x4862,x4863,f64(x4864,a1)),x4864) % 1.23/1.25 [487]~P14(x4871,x4872,x4874)+P14(x4871,f3(x4872,x4873,f64(x4874,a1)),x4874) % 1.23/1.25 [505]P14(x5052,x5051,x5054)+E(f4(x5051,f56(x5052,x5053,x5054),f64(x5054,a1)),f4(x5051,x5053,f64(x5054,a1))) % 1.23/1.25 [506]P14(x5061,x5064,x5063)+E(f4(f56(x5061,x5062,x5063),x5064,f64(x5063,a1)),f4(x5062,x5064,f64(x5063,a1))) % 1.23/1.25 [511]~P1(x5114)+E(f3(x5111,f3(x5112,x5113,x5114),x5114),f3(x5112,f3(x5111,x5113,x5114),x5114)) % 1.23/1.25 [512]~P17(x5124)+E(f3(x5121,f3(x5122,x5123,x5124),x5124),f3(x5122,f3(x5121,x5123,x5124),x5124)) % 1.23/1.25 [513]~P17(x5134)+E(f4(x5131,f4(x5132,x5133,x5134),x5134),f4(x5132,f4(x5131,x5133,x5134),x5134)) % 1.23/1.25 [514]~P18(x5144)+E(f4(x5141,f4(x5142,x5143,x5144),x5144),f4(x5142,f4(x5141,x5143,x5144),x5144)) % 1.23/1.25 [515]~P1(x5153)+E(f3(f3(x5151,x5152,x5153),x5154,x5153),f3(x5151,f3(x5152,x5154,x5153),x5153)) % 1.23/1.25 [516]~P17(x5163)+E(f3(f3(x5161,x5162,x5163),x5164,x5163),f3(x5161,f3(x5162,x5164,x5163),x5163)) % 1.23/1.25 [517]~P17(x5173)+E(f4(f4(x5171,x5172,x5173),x5174,x5173),f4(x5171,f4(x5172,x5174,x5173),x5173)) % 1.23/1.25 [518]~P18(x5183)+E(f4(f4(x5181,x5182,x5183),x5184,x5183),f4(x5181,f4(x5182,x5184,x5183),x5183)) % 1.23/1.25 [540]P14(x5401,x5402,x5403)+~P14(x5401,f4(x5404,x5402,f64(x5403,a1)),x5403) % 1.23/1.25 [541]P14(x5411,x5412,x5413)+~P14(x5411,f4(x5412,x5414,f64(x5413,a1)),x5413) % 1.23/1.25 [557]~P2(x5573)+E(f4(f3(x5571,x5572,x5573),f3(x5571,x5574,x5573),x5573),f3(x5571,f4(x5572,x5574,x5573),x5573)) % 1.23/1.25 [558]~P2(x5583)+E(f3(f4(x5581,x5582,x5583),f4(x5581,x5584,x5583),x5583),f4(x5581,f3(x5582,x5584,x5583),x5583)) % 1.23/1.25 [559]~P2(x5593)+E(f4(f3(x5591,x5592,x5593),f3(x5594,x5592,x5593),x5593),f3(f4(x5591,x5594,x5593),x5592,x5593)) % 1.23/1.25 [560]~P2(x5603)+E(f3(f4(x5601,x5602,x5603),f4(x5604,x5602,x5603),x5603),f4(f3(x5601,x5604,x5603),x5602,x5603)) % 1.23/1.25 [562]P13(x5621,x5622,f64(x5623,a1))+~P13(x5621,f4(x5624,x5622,f64(x5623,a1)),f64(x5623,a1)) % 1.23/1.25 [563]P13(x5631,x5632,f64(x5633,a1))+~P13(x5631,f4(x5632,x5634,f64(x5633,a1)),f64(x5633,a1)) % 1.23/1.25 [564]P13(x5641,x5642,f64(x5643,a1))+~P13(f3(x5644,x5641,f64(x5643,a1)),x5642,f64(x5643,a1)) % 1.23/1.25 [565]P13(x5651,x5652,f64(x5653,a1))+~P13(f3(x5651,x5654,f64(x5653,a1)),x5652,f64(x5653,a1)) % 1.23/1.25 [574]P13(f45(x5741,x5742,x5743),f45(x5744,x5742,x5743),f64(x5742,a1))+~P13(x5741,x5744,f64(f66(x5742,x5743),a1)) % 1.23/1.25 [583]~P13(x5833,x5831,f64(x5834,a1))+E(f4(x5831,f3(x5832,x5833,f64(x5834,a1)),f64(x5834,a1)),f3(f4(x5831,x5832,f64(x5834,a1)),x5833,f64(x5834,a1))) % 1.23/1.25 [606]P13(x6061,x6062,f64(x6063,a1))+~E(f4(x6062,f3(x6064,x6061,f64(x6063,a1)),f64(x6063,a1)),f3(f4(x6062,x6064,f64(x6063,a1)),x6061,f64(x6063,a1))) % 1.23/1.25 [614]~P17(x6144)+P13(f3(x6141,f4(x6142,x6143,x6144),x6144),f4(f3(x6141,x6142,x6144),f3(x6141,x6143,x6144),x6144),x6144) % 1.23/1.25 [615]~P17(x6153)+P13(f3(f4(x6151,x6152,x6153),f4(x6151,x6154,x6153),x6153),f4(x6151,f3(x6152,x6154,x6153),x6153),x6153) % 1.23/1.25 [691]~P14(f46(x6912,x6911,x6913,x6913),f52(x6914,x6913),f66(x6913,x6913))+P14(f46(x6911,x6912,x6913,x6913),f52(f54(x6914,x6913,x6913),x6913),f66(x6913,x6913)) % 1.23/1.25 [701]~P14(x7011,f45(x7012,x7013,x7014),x7013)+P14(f46(x7011,f11(x7011,x7012,x7013,x7014),x7013,x7014),x7012,f66(x7013,x7014)) % 1.23/1.25 [702]~P14(x7021,f45(x7022,x7023,x7024),x7023)+P14(f46(x7021,f12(x7021,x7022,x7023,x7024),x7023,x7024),x7022,f66(x7023,x7024)) % 1.23/1.25 [704]P12(x7041,x7042)+~P12(f56(f46(x7043,x7044,x7042,x7042),x7041,f66(x7042,x7042)),x7042) % 1.23/1.25 [705]P14(f46(x7051,x7052,x7053,x7053),f52(x7054,x7053),f66(x7053,x7053))+~P14(f46(x7052,x7051,x7053,x7053),f52(f54(x7054,x7053,x7053),x7053),f66(x7053,x7053)) % 1.23/1.25 [714]~P14(x7141,f45(f54(x7142,x7144,x7143),x7143,x7144),x7143)+P14(f46(f18(x7141,x7142,x7143,x7144),x7141,x7144,x7143),x7142,f66(x7144,x7143)) % 1.23/1.25 [715]~P14(x7151,f45(f54(x7152,x7154,x7153),x7153,x7154),x7153)+P14(f46(f19(x7151,x7152,x7153,x7154),x7151,x7154,x7153),x7152,f66(x7154,x7153)) % 1.23/1.25 [736]~P14(f46(x7362,x7361,x7363,x7363),f52(x7364,x7363),f66(x7363,x7363))+~P12(f56(f46(x7361,x7362,x7363,x7363),x7364,f66(x7363,x7363)),x7363) % 1.23/1.25 [767]P14(f46(x7671,x7672,x7673,x7673),f52(x7674,x7673),f66(x7673,x7673))+~P14(f46(x7671,x7672,x7673,x7673),f59(x7674,f52(x7674,x7673),x7673,x7673,x7673),f66(x7673,x7673)) % 1.23/1.25 [772]~P14(f46(x7721,x7723,x7724,x7724),f59(x7722,f52(x7722,x7724),x7724,x7724,x7724),f66(x7724,x7724))+P14(f46(x7721,f25(x7722,x7721,x7723,x7724),x7724,x7724),x7722,f66(x7724,x7724)) % 1.23/1.25 [773]~P14(f46(x7732,x7733,x7734,x7734),f59(x7731,f52(x7731,x7734),x7734,x7734,x7734),f66(x7734,x7734))+P14(f46(f26(x7731,x7732,x7733,x7734),x7733,x7734,x7734),x7731,f66(x7734,x7734)) % 1.23/1.25 [774]~P14(f46(x7741,x7743,x7744,x7744),f59(x7742,f52(x7742,x7744),x7744,x7744,x7744),f66(x7744,x7744))+P14(f46(x7741,f26(x7742,x7741,x7743,x7744),x7744,x7744),f52(x7742,x7744),f66(x7744,x7744)) % 1.23/1.25 [775]~P14(f46(x7752,x7753,x7754,x7754),f59(x7751,f52(x7751,x7754),x7754,x7754,x7754),f66(x7754,x7754))+P14(f46(f25(x7751,x7752,x7753,x7754),x7753,x7754,x7754),f52(x7751,x7754),f66(x7754,x7754)) % 1.23/1.25 [542]~P22(f61(x5422,x5424))+P22(f61(f3(x5421,x5422,f64(x5423,a1)),x5424)) % 1.23/1.25 [543]~P22(f61(x5431,x5434))+P22(f61(f3(x5431,x5432,f64(x5433,a1)),x5434)) % 1.23/1.25 [572]~P14(x5721,x5722,x5724)+E(f56(x5721,f4(x5722,x5723,f64(x5724,a1)),x5724),f4(x5722,f56(x5721,x5723,x5724),f64(x5724,a1))) % 1.23/1.25 [573]~P14(x5731,x5733,x5734)+E(f56(x5731,f4(x5732,x5733,f64(x5734,a1)),x5734),f4(f56(x5731,x5732,x5734),x5733,f64(x5734,a1))) % 1.23/1.25 [581]P22(f61(x5811,x5812))+~P22(f61(f4(x5813,x5811,f64(x5814,a1)),x5812)) % 1.23/1.25 [582]P22(f61(x5821,x5822))+~P22(f61(f4(x5821,x5823,f64(x5824,a1)),x5822)) % 1.23/1.25 [784]~P14(f46(x7841,x7842,x7843,x7843),f59(f54(x7844,x7843,x7843),f52(f54(x7844,x7843,x7843),x7843),x7843,x7843,x7843),f66(x7843,x7843))+P14(f46(x7841,x7842,x7843,x7843),f54(f59(x7844,f52(x7844,x7843),x7843,x7843,x7843),x7843,x7843),f66(x7843,x7843)) % 1.23/1.25 [785]~P14(f46(x7851,x7852,x7853,x7853),f54(f59(x7854,f52(x7854,x7853),x7853,x7853,x7853),x7853,x7853),f66(x7853,x7853))+P14(f46(x7851,x7852,x7853,x7853),f59(f54(x7854,x7853,x7853),f52(f54(x7854,x7853,x7853),x7853),x7853,x7853,x7853),f66(x7853,x7853)) % 1.23/1.25 [604]~P14(x6041,f52(x6043,x6044),f66(x6044,x6044))+P14(x6041,f52(f3(x6042,x6043,f64(f66(x6044,x6044),a1)),x6044),f66(x6044,x6044)) % 1.23/1.25 [605]~P14(x6051,f52(x6052,x6054),f66(x6054,x6054))+P14(x6051,f52(f3(x6052,x6053,f64(f66(x6054,x6054),a1)),x6054),f66(x6054,x6054)) % 1.23/1.25 [597]~P14(x5972,x5973,x5974)+P14(f61(x5971,x5972),f58(x5971,x5973,x5974,x5975),x5975) % 1.23/1.25 [628]~P14(f46(x6281,x6285,x6283,x6284),x6282,f66(x6283,x6284))+P14(x6281,f45(x6282,x6283,x6284),x6283) % 1.23/1.25 [642]~P13(x6422,x6425,f64(x6423,a1))+P13(f58(x6421,x6422,x6423,x6424),f58(x6421,x6425,x6423,x6424),f64(x6424,a1)) % 1.23/1.25 [673]~P14(f46(x6732,x6731,x6734,x6733),x6735,f66(x6734,x6733))+P14(f46(x6731,x6732,x6733,x6734),f54(x6735,x6734,x6733),f66(x6733,x6734)) % 1.23/1.25 [674]~P14(f46(x6742,x6741,x6744,x6743),f54(x6745,x6743,x6744),f66(x6744,x6743))+P14(f46(x6741,x6742,x6743,x6744),x6745,f66(x6743,x6744)) % 1.23/1.25 [740]P14(x7403,f41(x7401,x7402,x7404,x7405),f64(x7404,x7405))+P14(f42(x7401,x7402,x7403,x7404,x7405),x7401,x7404) % 1.23/1.25 [741]P14(x7413,f41(x7411,x7412,x7414,x7415),f64(x7414,x7415))+P14(f43(x7411,x7412,x7413,x7414,x7415),x7411,x7414) % 1.23/1.25 [744]~P14(x7442,f55(x7443,x7441,x7444,x7445),x7445)+P14(f20(x7441,x7442,x7443,x7444,x7445),x7441,x7444) % 1.23/1.25 [745]~P14(x7452,f55(x7453,x7451,x7454,x7455),x7455)+P14(f21(x7451,x7452,x7453,x7454,x7455),x7451,x7454) % 1.23/1.25 [612]~P14(x6122,x6123,x6124)+E(f56(f61(x6121,x6122),f58(x6121,x6123,x6124,x6125),x6125),f58(x6121,x6123,x6124,x6125)) % 1.23/1.25 [649]~P14(f46(x6495,x6491,x6493,x6494),x6492,f66(x6493,x6494))+P14(x6491,f45(f54(x6492,x6493,x6494),x6494,x6493),x6494) % 1.23/1.25 [769]~P14(x7692,f55(x7693,x7691,x7694,x7695),x7695)+P14(f46(f20(x7691,x7692,x7693,x7694,x7695),x7692,x7694,x7695),x7693,f66(x7694,x7695)) % 1.23/1.25 [770]~P14(x7702,f55(x7703,x7701,x7704,x7705),x7705)+P14(f46(f21(x7701,x7702,x7703,x7704,x7705),x7702,x7704,x7705),x7703,f66(x7704,x7705)) % 1.23/1.25 [787]P14(x7871,f41(x7872,x7873,x7874,x7875),f64(x7874,x7875))+~P14(f61(x7871,f42(x7872,x7873,x7871,x7874,x7875)),f61(x7873,f42(x7872,x7873,x7871,x7874,x7875)),x7875) % 1.23/1.25 [788]P14(x7881,f41(x7882,x7883,x7884,x7885),f64(x7884,x7885))+~P14(f61(x7881,f43(x7882,x7883,x7881,x7884,x7885)),f61(x7883,f43(x7882,x7883,x7881,x7884,x7885)),x7885) % 1.23/1.25 [709]P13(f58(x7091,x7092,x7093,x7094),x7095,f64(x7094,a1))+~P14(x7091,f41(x7092,f33(x7095,f64(x7094,a1),x7093),x7093,x7094),f64(x7093,x7094)) % 1.23/1.25 [748]P14(f44(x7481,x7482,x7483,x7484,x7485),x7481,x7484)+P14(x7483,f41(x7481,f33(x7482,f64(x7485,a1),x7484),x7484,x7485),f64(x7484,x7485)) % 1.23/1.25 [778]~P14(f61(x7781,f44(x7782,x7783,x7781,x7785,x7784)),x7783,x7784)+P14(x7781,f41(x7782,f33(x7783,f64(x7784,a1),x7785),x7785,x7784),f64(x7785,x7784)) % 1.23/1.25 [602]E(x6021,x6022)+~E(f46(x6023,x6021,x6024,x6025),f46(x6026,x6022,x6024,x6025)) % 1.23/1.25 [603]E(x6031,x6032)+~E(f46(x6031,x6033,x6034,x6035),f46(x6032,x6036,x6034,x6035)) % 1.23/1.25 [677]P14(x6771,x6772,x6773)+~P14(f46(x6771,x6774,x6773,x6775),f50(x6772,x6776,x6773,x6775),f66(x6773,x6775)) % 1.23/1.25 [692]~P14(f46(x6923,x6921,x6925,x6924),f50(x6926,x6922,x6925,x6924),f66(x6925,x6924))+P14(x6921,f61(x6922,x6923),x6924) % 1.23/1.25 [713]P14(f46(x7131,x7132,x7133,x7133),f57(x7134,x7135,x7136,x7133),f66(x7133,x7133))+~P14(f46(f61(x7135,x7131),f61(x7135,x7132),x7136,x7136),x7134,f66(x7136,x7136)) % 1.23/1.25 [718]~P14(f46(x7182,x7183,x7186,x7186),f57(x7185,x7181,x7184,x7186),f66(x7186,x7186))+P14(f46(f61(x7181,x7182),f61(x7181,x7183),x7184,x7184),x7185,f66(x7184,x7184)) % 1.23/1.25 [747]~P14(f46(x7476,x7473,x7474,x7474),x7472,f66(x7474,x7474))+E(f61(f51(x7471,x7472,x7473,x7474,x7475),x7476),f61(x7471,x7476)) % 1.23/1.25 [792]E(f51(x7921,x7922,x7923,x7924,x7925),f51(x7926,x7922,x7923,x7924,x7925))+P14(f46(f49(x7921,x7926,x7922,x7923,x7924,x7925),x7923,x7924,x7924),x7922,f66(x7924,x7924)) % 1.23/1.25 [794]E(f51(x7941,x7942,x7943,x7944,x7945),f51(x7946,x7942,x7943,x7944,x7945))+~E(f61(x7941,f49(x7941,x7946,x7942,x7943,x7944,x7945)),f61(x7946,f49(x7941,x7946,x7942,x7943,x7944,x7945))) % 1.23/1.25 [712]P13(f55(x7121,x7122,x7123,x7124),x7125,f64(x7124,a1))+~P13(x7121,f50(x7126,f33(x7125,f64(x7124,a1),x7123),x7123,x7124),f64(f66(x7123,x7124),a1)) % 1.23/1.25 [795]~P14(f46(x7951,x7952,x7955,x7956),f59(x7953,x7954,x7955,x7957,x7956),f66(x7955,x7956))+P14(f46(x7951,f24(x7951,x7952,x7953,x7954,x7955,x7956,x7957),x7955,x7957),x7953,f66(x7955,x7957)) % 1.23/1.25 [796]~P14(f46(x7961,x7962,x7965,x7966),f59(x7963,x7964,x7965,x7967,x7966),f66(x7965,x7966))+P14(f46(f24(x7961,x7962,x7963,x7964,x7965,x7966,x7967),x7962,x7967,x7966),x7964,f66(x7967,x7966)) % 1.23/1.25 [626]~P14(f46(a68,a67,a60,a60),x6261,f66(a60,a60))+P23(a5000)+~P14(x6261,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [382]~P15(x3822)+~P15(x3821)+P15(f64(x3821,x3822)) % 1.23/1.25 [383]~P15(x3832)+~P15(x3831)+P15(f66(x3831,x3832)) % 1.23/1.25 [737]~P4(x7371,x7372)+~P5(x7371,x7372)+P13(f59(f54(x7371,x7372,x7372),x7371,x7372,x7372,x7372),x7371,f64(f66(x7372,x7372),a1)) % 1.23/1.25 [401]P13(x4012,x4011,x4013)+~P21(x4013)+P13(x4011,x4012,x4013) % 1.23/1.25 [408]~P1(x4083)+~P13(x4081,x4082,x4083)+E(f3(x4081,x4082,x4083),x4082) % 1.23/1.25 [409]~P1(x4093)+~P13(x4092,x4091,x4093)+E(f3(x4091,x4092,x4093),x4091) % 1.23/1.25 [410]~P18(x4103)+~P13(x4102,x4101,x4103)+E(f4(x4101,x4102,x4103),x4102) % 1.23/1.25 [411]~P18(x4113)+~P13(x4111,x4112,x4113)+E(f4(x4111,x4112,x4113),x4111) % 1.23/1.25 [412]~P1(x4123)+P13(x4121,x4122,x4123)+~E(f3(x4121,x4122,x4123),x4122) % 1.23/1.25 [413]~P18(x4133)+P13(x4131,x4132,x4133)+~E(f4(x4131,x4132,x4133),x4131) % 1.23/1.25 [415]P7(x4151,x4152)+~P7(x4153,x4152)+~P13(x4151,x4153,f64(x4152,a1)) % 1.23/1.25 [426]~P3(x4263)+~P14(x4261,x4262,x4263)+P13(x4261,f38(x4262,x4263),x4263) % 1.23/1.25 [427]~P3(x4272)+~P14(x4273,x4271,x4272)+P13(f39(x4271,x4272),x4273,x4272) % 1.23/1.25 [461]E(x4611,x4612)+~P13(x4611,x4612,f64(x4613,a1))+~P13(x4612,x4611,f64(x4613,a1)) % 1.23/1.25 [448]~P7(x4482,x4483)+~P7(x4481,x4483)+P7(f3(x4481,x4482,f64(x4483,a1)),x4483) % 1.23/1.25 [454]~P7(x4543,x4542)+~P14(x4543,x4541,f64(x4542,a1))+P7(f39(x4541,f64(x4542,a1)),x4542) % 1.23/1.25 [458]P12(x4581,x4582)+~P12(x4583,x4582)+~P13(x4581,x4583,f64(f66(x4582,x4582),a1)) % 1.23/1.25 [480]~P14(x4802,f62(x4803,a63),a63)+P22(f61(x4801,x4802))+~P22(f61(x4801,f70(x4801,x4803))) % 1.23/1.25 [481]~P14(x4812,f62(x4813,a63),a63)+P22(f61(x4811,x4812))+~P22(f61(x4811,f71(x4811,x4813))) % 1.23/1.25 [548]E(x5481,x5482)+~P14(x5483,a5,f64(f66(a60,a60),a1))+P14(f36(x5483,x5481,x5482),a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [549]E(x5491,x5492)+~P14(x5493,a5,f64(f66(a60,a60),a1))+P14(f37(x5493,x5491,x5492),a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [571]E(f52(x5711,x5712),f52(x5713,x5712))+~P13(x5711,f52(x5713,x5712),f64(f66(x5712,x5712),a1))+~P13(x5713,x5711,f64(f66(x5712,x5712),a1)) % 1.23/1.25 [608]E(x6081,x6082)+P14(f46(x6082,x6081,a60,a60),f36(x6083,x6082,x6081),f66(a60,a60))+~P14(x6083,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [609]E(x6091,x6092)+P14(f46(x6091,x6092,a60,a60),f37(x6093,x6091,x6092),f66(a60,a60))+~P14(x6093,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [707]~P14(f46(x7073,x7072,a60,a60),x7071,f66(a60,a60))+~P14(f46(x7072,x7073,a60,a60),x7071,f66(a60,a60))+~P14(x7071,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [502]~P4(x5022,x5023)+~P4(x5021,x5023)+P4(f4(x5021,x5022,f64(f66(x5023,x5023),a1)),x5023) % 1.23/1.25 [503]~P5(x5032,x5033)+~P5(x5031,x5033)+P5(f3(x5031,x5032,f64(f66(x5033,x5033),a1)),x5033) % 1.23/1.25 [504]~P5(x5042,x5043)+~P5(x5041,x5043)+P5(f4(x5041,x5042,f64(f66(x5043,x5043),a1)),x5043) % 1.23/1.25 [675]P6(x6751,x6752,x6753)+P14(f16(x6751,x6752,x6753),x6751,x6753)+~P13(x6752,f50(x6751,f33(x6751,f64(x6753,a1),x6753),x6753,x6753),f64(f66(x6753,x6753),a1)) % 1.23/1.25 [676]P6(x6761,x6762,x6763)+P14(f17(x6761,x6762,x6763),x6761,x6763)+~P13(x6762,f50(x6761,f33(x6761,f64(x6763,a1),x6763),x6763,x6763),f64(f66(x6763,x6763),a1)) % 1.23/1.25 [742]P6(x7421,x7422,x7423)+~P14(f46(f16(x7421,x7422,x7423),f16(x7421,x7422,x7423),x7423,x7423),x7422,f66(x7423,x7423))+~P13(x7422,f50(x7421,f33(x7421,f64(x7423,a1),x7423),x7423,x7423),f64(f66(x7423,x7423),a1)) % 1.23/1.25 [743]P6(x7431,x7432,x7433)+~P14(f46(f17(x7431,x7432,x7433),f17(x7431,x7432,x7433),x7433,x7433),x7432,f66(x7433,x7433))+~P13(x7432,f50(x7431,f33(x7431,f64(x7433,a1),x7433),x7433,x7433),f64(f66(x7433,x7433),a1)) % 1.23/1.25 [765]~P13(f2(x7652),x7653,f64(f66(x7652,x7652),a1))+P13(f52(x7651,x7652),x7653,f64(f66(x7652,x7652),a1))+~P13(f59(f4(f52(x7651,x7652),x7653,f64(f66(x7652,x7652),a1)),x7651,x7652,x7652,x7652),x7653,f64(f66(x7652,x7652),a1)) % 1.23/1.25 [791]~P13(x7911,x7913,f64(f66(x7912,x7912),a1))+P13(f59(x7911,f52(x7911,x7912),x7912,x7912,x7912),x7913,f64(f66(x7912,x7912),a1))+~P13(f59(f4(f59(x7911,f52(x7911,x7912),x7912,x7912,x7912),x7913,f64(f66(x7912,x7912),a1)),x7911,x7912,x7912,x7912),x7913,f64(f66(x7912,x7912),a1)) % 1.23/1.25 [436]~P13(x4363,x4361,f64(x4364,a1))+P22(f61(x4361,x4362))+~P22(f61(x4363,x4362)) % 1.23/1.25 [466]~P1(x4664)+~P13(x4661,x4663,x4664)+P13(x4661,f3(x4662,x4663,x4664),x4664) % 1.23/1.25 [467]~P1(x4674)+~P13(x4671,x4672,x4674)+P13(x4671,f3(x4672,x4673,x4674),x4674) % 1.23/1.25 [468]~P18(x4683)+~P13(x4682,x4684,x4683)+P13(f4(x4681,x4682,x4683),x4684,x4683) % 1.23/1.25 [469]~P18(x4693)+~P13(x4691,x4694,x4693)+P13(f4(x4691,x4692,x4693),x4694,x4693) % 1.23/1.25 [473]P14(x4731,x4732,x4733)+~P14(x4731,x4734,x4733)+~P13(x4734,x4732,f64(x4733,a1)) % 1.23/1.25 [474]~P12(x4742,x4743)+~P14(x4744,x4741,x4743)+P14(f29(x4741,x4742,x4743),x4741,x4743) % 1.23/1.25 [475]~P12(x4752,x4753)+~P14(x4754,x4751,x4753)+P14(f32(x4751,x4752,x4753),x4751,x4753) % 1.23/1.25 [493]E(x4931,x4932)+P14(x4931,x4933,x4934)+~P14(x4931,f56(x4932,x4933,x4934),x4934) % 1.23/1.25 [495]~P18(x4953)+P13(x4951,x4952,x4953)+~P13(x4951,f4(x4954,x4952,x4953),x4953) % 1.23/1.25 [497]~P18(x4973)+P13(x4971,x4972,x4973)+~P13(x4971,f4(x4972,x4974,x4973),x4973) % 1.23/1.25 [499]~P1(x4993)+P13(x4991,x4992,x4993)+~P13(f3(x4994,x4991,x4993),x4992,x4993) % 1.23/1.25 [501]~P1(x5013)+P13(x5011,x5012,x5013)+~P13(f3(x5011,x5014,x5013),x5012,x5013) % 1.23/1.25 [507]~P13(x5071,x5074,f64(x5073,a1))+~P13(x5074,x5072,f64(x5073,a1))+P13(x5071,x5072,f64(x5073,a1)) % 1.23/1.25 [528]~P14(x5282,f62(x5283,x5284),x5284)+P14(f14(x5281,x5283,x5284),f62(x5283,x5284),x5284)+P22(f61(x5281,x5282)) % 1.23/1.25 [529]~P14(x5292,f62(x5293,x5294),x5294)+P14(f27(x5291,x5293,x5294),f62(x5293,x5294),x5294)+P22(f61(x5291,x5292)) % 1.23/1.25 [546]~P14(x5461,x5464,x5463)+~P13(x5462,x5464,f64(x5463,a1))+P13(f56(x5461,x5462,x5463),x5464,f64(x5463,a1)) % 1.23/1.25 [553]P14(x5531,x5532,x5533)+~P13(x5532,f56(x5531,x5534,x5533),f64(x5533,a1))+P13(x5532,x5534,f64(x5533,a1)) % 1.23/1.25 [600]~P6(x6004,x6003,x6002)+~P14(x6001,x6004,x6002)+P14(f46(x6001,x6001,x6002,x6002),x6003,f66(x6002,x6002)) % 1.23/1.25 [633]E(x6331,x6332)+~P14(f46(x6331,x6332,x6334,x6334),f52(x6333,x6334),f66(x6334,x6334))+P14(x6331,f45(x6333,x6334,x6334),x6334) % 1.23/1.25 [635]~P14(f46(x6351,x6354,x6353,x6353),x6352,f66(x6353,x6353))+P14(x6351,f62(x6352,x6353),x6353)+~P14(x6354,f62(x6352,x6353),x6353) % 1.23/1.25 [640]~P14(f46(x6401,x6404,x6403,x6403),f52(x6402,x6403),f66(x6403,x6403))+P14(x6401,f62(x6402,x6403),x6403)+~P14(x6404,f62(x6402,x6403),x6403) % 1.23/1.25 [665]E(x6651,x6652)+~P14(f46(x6653,x6651,a60,a60),f34(x6654,x6652),f66(a60,a60))+P14(f46(x6653,x6651,a60,a60),x6654,f66(a60,a60)) % 1.23/1.25 [666]E(x6661,x6662)+~P14(f46(x6661,x6663,a60,a60),f35(x6664,x6662),f66(a60,a60))+P14(f46(x6661,x6663,a60,a60),x6664,f66(a60,a60)) % 1.23/1.25 [668]~P5(x6684,x6683)+~P14(f46(x6682,x6681,x6683,x6683),x6684,f66(x6683,x6683))+P14(f46(x6681,x6682,x6683,x6683),x6684,f66(x6683,x6683)) % 1.23/1.25 [703]~P12(x7031,x7032)+~P14(f46(x7034,x7033,x7032,x7032),x7031,f66(x7032,x7032))+~P14(f46(x7033,x7034,x7032,x7032),x7031,f66(x7032,x7032)) % 1.23/1.25 [520]~P14(x5201,x5204,x5203)+~P14(x5204,x5202,f64(x5203,a1))+P14(x5201,f38(x5202,f64(x5203,a1)),x5203) % 1.23/1.25 [536]P14(x5361,x5362,x5363)+~P14(x5362,x5364,f64(x5363,a1))+~P14(x5361,f39(x5364,f64(x5363,a1)),x5363) % 1.23/1.25 [538]~P14(x5381,x5383,x5384)+~P14(x5381,x5382,x5384)+P14(x5381,f4(x5382,x5383,f64(x5384,a1)),x5384) % 1.23/1.25 [551]E(x5511,x5512)+P22(f61(x5513,x5511))+~P22(f61(f56(x5512,x5513,x5514),x5511)) % 1.23/1.25 [556]P14(x5561,x5562,x5563)+P14(x5561,x5564,x5563)+~P14(x5561,f3(x5562,x5564,f64(x5563,a1)),x5563) % 1.23/1.25 [568]~P13(x5681,x5682,f64(x5684,a1))+~P13(x5681,x5683,f64(x5684,a1))+P13(x5681,f4(x5682,x5683,f64(x5684,a1)),f64(x5684,a1)) % 1.23/1.25 [570]~P13(x5701,x5704,f64(x5703,a1))+~P13(x5702,x5704,f64(x5703,a1))+P13(f3(x5701,x5702,f64(x5703,a1)),x5704,f64(x5703,a1)) % 1.23/1.25 [579]~P14(x5792,f62(x5793,x5794),x5794)+P22(f61(x5791,x5792))+~P22(f61(x5791,f14(x5791,x5793,x5794))) % 1.23/1.25 [580]~P14(x5802,f62(x5803,x5804),x5804)+P22(f61(x5801,x5802))+~P22(f61(x5801,f27(x5801,x5803,x5804))) % 1.23/1.25 [645]E(x6451,x6452)+~P14(f46(x6454,x6454,a60,a60),f36(x6453,x6451,x6452),f66(a60,a60))+~P14(x6453,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [646]E(x6461,x6462)+~P14(f46(x6464,x6464,a60,a60),f37(x6463,x6461,x6462),f66(a60,a60))+~P14(x6463,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [693]~P12(x6934,x6933)+P14(f46(x6932,x6931,x6933,x6933),f52(x6934,x6933),f66(x6933,x6933))+P12(f56(f46(x6931,x6932,x6933,x6933),x6934,f66(x6933,x6933)),x6933) % 1.23/1.25 [755]E(x7551,x7552)+~P14(f46(x7551,x7552,x7553,x7553),f52(x7554,x7553),f66(x7553,x7553))+P14(f46(x7551,x7552,x7553,x7553),f59(x7554,f52(x7554,x7553),x7553,x7553,x7553),f66(x7553,x7553)) % 1.23/1.25 [776]~P14(x7761,f59(x7764,f52(x7764,x7763),x7763,x7763,x7763),f66(x7763,x7763))+P14(x7761,f59(x7762,f52(x7762,x7763),x7763,x7763,x7763),f66(x7763,x7763))+~P13(x7764,x7762,f64(f66(x7763,x7763),a1)) % 1.23/1.25 [777]P14(f46(x7771,x7772,x7773,x7773),x7774,f66(x7773,x7773))+P14(f46(x7771,f23(x7774,x7771,x7772,x7773),x7773,x7773),x7774,f66(x7773,x7773))+~P14(f46(x7771,x7772,x7773,x7773),f59(x7774,f52(x7774,x7773),x7773,x7773,x7773),f66(x7773,x7773)) % 1.23/1.25 [783]P14(f46(x7831,x7832,x7833,x7833),x7834,f66(x7833,x7833))+P14(f46(f23(x7834,x7831,x7832,x7833),x7832,x7833,x7833),f59(x7834,f52(x7834,x7833),x7833,x7833,x7833),f66(x7833,x7833))+~P14(f46(x7831,x7832,x7833,x7833),f59(x7834,f52(x7834,x7833),x7833,x7833,x7833),f66(x7833,x7833)) % 1.23/1.25 [555]~P22(f61(x5552,x5554))+~P22(f61(x5551,x5554))+P22(f61(f4(x5551,x5552,f64(x5553,a1)),x5554)) % 1.23/1.25 [584]P22(f61(x5841,x5842))+P22(f61(x5843,x5842))+~P22(f61(f3(x5841,x5843,f64(x5844,a1)),x5842)) % 1.23/1.25 [710]P12(x7101,x7102)+P14(f31(x7103,x7104,x7101,x7102),x7104,x7102)+~P13(x7101,f50(x7103,f33(x7104,f64(x7102,a1),x7102),x7102,x7102),f64(f66(x7102,x7102),a1)) % 1.23/1.25 [711]P12(x7111,x7112)+P14(f31(x7113,x7114,x7111,x7112),x7113,x7112)+~P13(x7111,f50(x7113,f33(x7114,f64(x7112,a1),x7112),x7112,x7112),f64(f66(x7112,x7112),a1)) % 1.23/1.25 [459]~P16(x4594)+P13(f61(x4591,x4592),f61(x4593,x4592),x4594)+~P13(x4591,x4593,f64(x4595,x4594)) % 1.23/1.25 [617]P7(x6171,x6172)+~P7(x6173,x6174)+~P13(x6171,f58(x6175,x6173,x6174,x6172),f64(x6172,a1)) % 1.23/1.25 [622]P14(x6221,x6222,x6223)+~P6(x6222,x6224,x6223)+~P14(f46(x6225,x6221,x6223,x6223),x6224,f66(x6223,x6223)) % 1.23/1.25 [623]P14(x6231,x6232,x6233)+~P6(x6232,x6234,x6233)+~P14(f46(x6231,x6235,x6233,x6233),x6234,f66(x6233,x6233)) % 1.23/1.25 [624]P14(x6241,x6242,x6243)+~P8(x6242,x6244,x6243)+~P14(f46(x6245,x6241,x6243,x6243),x6244,f66(x6243,x6243)) % 1.23/1.25 [625]P14(x6251,x6252,x6253)+~P8(x6252,x6254,x6253)+~P14(f46(x6251,x6255,x6253,x6253),x6254,f66(x6253,x6253)) % 1.23/1.25 [722]P14(f46(x7221,x7222,x7223,x7223),f52(x7224,x7223),f66(x7223,x7223))+~P14(f46(x7221,x7225,x7223,x7223),f52(x7224,x7223),f66(x7223,x7223))+~P14(f46(x7225,x7222,x7223,x7223),x7224,f66(x7223,x7223)) % 1.23/1.25 [723]P14(f46(x7231,x7232,x7233,x7233),f52(x7234,x7233),f66(x7233,x7233))+~P14(f46(x7235,x7232,x7233,x7233),f52(x7234,x7233),f66(x7233,x7233))+~P14(f46(x7231,x7235,x7233,x7233),x7234,f66(x7233,x7233)) % 1.23/1.25 [725]P14(f46(x7251,x7252,x7253,x7253),f52(x7254,x7253),f66(x7253,x7253))+~P14(f46(x7251,x7255,x7253,x7253),f52(x7254,x7253),f66(x7253,x7253))+~P14(f46(x7255,x7252,x7253,x7253),f52(x7254,x7253),f66(x7253,x7253)) % 1.23/1.25 [589]~P13(x5891,x5894,f64(x5893,a1))+~P13(x5892,x5895,f64(x5893,a1))+P13(f3(x5891,x5892,f64(x5893,a1)),f3(x5894,x5895,f64(x5893,a1)),f64(x5893,a1)) % 1.23/1.25 [590]~P13(x5901,x5904,f64(x5903,a1))+~P13(x5902,x5905,f64(x5903,a1))+P13(f4(x5901,x5902,f64(x5903,a1)),f4(x5904,x5905,f64(x5903,a1)),f64(x5903,a1)) % 1.23/1.25 [760]~P14(f46(x7601,x7605,x7603,x7603),x7604,f66(x7603,x7603))+~P14(f46(x7605,x7602,x7603,x7603),x7604,f66(x7603,x7603))+P14(f46(x7601,x7602,x7603,x7603),f59(x7604,f52(x7604,x7603),x7603,x7603,x7603),f66(x7603,x7603)) % 1.23/1.25 [762]~P14(f46(x7621,x7625,x7623,x7623),f52(x7624,x7623),f66(x7623,x7623))+~P14(f46(x7625,x7622,x7623,x7623),x7624,f66(x7623,x7623))+P14(f46(x7621,x7622,x7623,x7623),f59(x7624,f52(x7624,x7623),x7623,x7623,x7623),f66(x7623,x7623)) % 1.23/1.25 [779]~P14(f46(x7795,x7792,x7793,x7793),x7794,f66(x7793,x7793))+P14(f46(x7791,x7792,x7793,x7793),f59(x7794,f52(x7794,x7793),x7793,x7793,x7793),f66(x7793,x7793))+~P14(f46(x7791,x7795,x7793,x7793),f59(x7794,f52(x7794,x7793),x7793,x7793,x7793),f66(x7793,x7793)) % 1.23/1.25 [780]~P14(f46(x7801,x7805,x7803,x7803),x7804,f66(x7803,x7803))+P14(f46(x7801,x7802,x7803,x7803),f59(x7804,f52(x7804,x7803),x7803,x7803,x7803),f66(x7803,x7803))+~P14(f46(x7805,x7802,x7803,x7803),f59(x7804,f52(x7804,x7803),x7803,x7803,x7803),f66(x7803,x7803)) % 1.23/1.25 [781]~P14(f46(x7815,x7812,x7813,x7813),f52(x7814,x7813),f66(x7813,x7813))+P14(f46(x7811,x7812,x7813,x7813),f59(x7814,f52(x7814,x7813),x7813,x7813,x7813),f66(x7813,x7813))+~P14(f46(x7811,x7815,x7813,x7813),f59(x7814,f52(x7814,x7813),x7813,x7813,x7813),f66(x7813,x7813)) % 1.23/1.25 [782]~P14(f46(x7821,x7825,x7823,x7823),f52(x7824,x7823),f66(x7823,x7823))+P14(f46(x7821,x7822,x7823,x7823),f59(x7824,f52(x7824,x7823),x7823,x7823,x7823),f66(x7823,x7823))+~P14(f46(x7825,x7822,x7823,x7823),f59(x7824,f52(x7824,x7823),x7823,x7823,x7823),f66(x7823,x7823)) % 1.23/1.25 [786]P14(f46(x7861,x7862,x7863,x7863),f59(x7864,f52(x7864,x7863),x7863,x7863,x7863),f66(x7863,x7863))+~P14(f46(x7861,x7865,x7863,x7863),f59(x7864,f52(x7864,x7863),x7863,x7863,x7863),f66(x7863,x7863))+~P14(f46(x7865,x7862,x7863,x7863),f59(x7864,f52(x7864,x7863),x7863,x7863,x7863),f66(x7863,x7863)) % 1.23/1.25 [592]~P6(x5922,x5925,x5923)+~P6(x5921,x5924,x5923)+P6(f3(x5921,x5922,f64(x5923,a1)),f3(x5924,x5925,f64(f66(x5923,x5923),a1)),x5923) % 1.23/1.25 [593]~P6(x5932,x5935,x5933)+~P6(x5931,x5934,x5933)+P6(f4(x5931,x5932,f64(x5933,a1)),f4(x5934,x5935,f64(f66(x5933,x5933),a1)),x5933) % 1.23/1.25 [629]~P14(x6292,x6295,x6296)+P14(f61(x6291,x6292),x6293,x6294)+~P13(f58(x6291,x6295,x6296,x6294),x6293,f64(x6294,a1)) % 1.23/1.25 [632]~P14(x6322,x6325,x6326)+~P14(x6321,f41(x6325,x6323,x6326,x6324),f64(x6326,x6324))+P14(f61(x6321,x6322),f61(x6323,x6322),x6324) % 1.23/1.25 [651]~P14(x6511,x6515,x6513)+~P14(x6512,f61(x6516,x6511),x6514)+P14(f46(x6511,x6512,x6513,x6514),f50(x6515,x6516,x6513,x6514),f66(x6513,x6514)) % 1.23/1.25 [670]~P14(x6706,x6703,x6704)+~P14(f46(x6706,x6701,x6704,x6705),x6702,f66(x6704,x6705))+P14(x6701,f55(x6702,x6703,x6704,x6705),x6705) % 1.23/1.25 [654]~P13(x6542,x6546,f64(x6543,a1))+P13(f55(x6541,x6542,x6543,x6544),f55(x6545,x6546,x6543,x6544),f64(x6544,a1))+~P13(x6541,x6545,f64(f66(x6543,x6544),a1)) % 1.23/1.25 [751]P14(f13(x7511,x7512,x7513,x7514,x7515),x7511,x7514)+~P13(x7511,x7516,f64(x7514,a1))+P13(f50(x7511,x7512,x7514,x7515),f50(x7516,x7513,x7514,x7515),f64(f66(x7514,x7515),a1)) % 1.23/1.25 [789]~P13(x7891,x7895,f64(x7893,a1))+~P13(f61(x7892,f13(x7891,x7892,x7896,x7893,x7894)),f61(x7896,f13(x7891,x7892,x7896,x7893,x7894)),f64(x7894,a1))+P13(f50(x7891,x7892,x7893,x7894),f50(x7895,x7896,x7893,x7894),f64(f66(x7893,x7894),a1)) % 1.23/1.25 [653]E(x6531,x6532)+~P14(x6536,x6533,x6534)+~E(f50(x6531,f33(x6533,f64(x6534,a1),x6535),x6535,x6534),f50(x6532,f33(x6533,f64(x6534,a1),x6535),x6535,x6534)) % 1.23/1.25 [671]~P14(x6712,x6715,x6716)+P14(f61(x6711,x6712),x6713,x6714)+~P14(x6711,f41(x6715,f33(x6713,f64(x6714,a1),x6716),x6716,x6714),f64(x6716,x6714)) % 1.23/1.25 [706]~P14(x7066,x7062,x7063)+~P13(x7061,x7065,f64(x7064,a1))+P13(f50(x7061,f33(x7062,f64(x7063,a1),x7064),x7064,x7063),f50(x7065,f33(x7062,f64(x7063,a1),x7064),x7064,x7063),f64(f66(x7064,x7063),a1)) % 1.23/1.25 [739]~P14(x7394,x7395,x7396)+P13(x7391,x7392,f64(x7393,a1))+~P13(f50(x7391,f33(x7395,f64(x7396,a1),x7393),x7393,x7396),f50(x7392,f33(x7395,f64(x7396,a1),x7393),x7393,x7396),f64(f66(x7393,x7396),a1)) % 1.23/1.25 [758]~P14(f46(x7582,x7585,x7586,x7586),x7584,f66(x7586,x7586))+~E(f51(x7581,x7584,x7585,x7586,x7587),f51(x7583,x7584,x7585,x7586,x7587))+E(f61(x7581,x7582),f61(x7583,x7582)) % 1.23/1.25 [766]~P13(x7662,x7667,f64(f66(x7664,x7665),a1))+~P13(x7661,x7666,f64(f66(x7663,x7664),a1))+P13(f59(x7661,x7662,x7663,x7664,x7665),f59(x7666,x7667,x7663,x7664,x7665),f64(f66(x7663,x7665),a1)) % 1.23/1.25 [759]~P14(f46(x7591,x7598,x7593,x7597),x7595,f66(x7593,x7597))+P14(f46(x7591,x7592,x7593,x7594),f59(x7595,x7596,x7593,x7597,x7594),f66(x7593,x7594))+~P14(f46(x7598,x7592,x7597,x7594),x7596,f66(x7597,x7594)) % 1.23/1.25 [771]~P13(x7712,f50(x7718,f33(x7717,f64(x7715,a1),x7714),x7714,x7715),f64(f66(x7714,x7715),a1))+~P13(x7711,f50(x7716,f33(x7718,f64(x7714,a1),x7713),x7713,x7714),f64(f66(x7713,x7714),a1))+P13(f59(x7711,x7712,x7713,x7714,x7715),f50(x7716,f33(x7717,f64(x7715,a1),x7713),x7713,x7715),f64(f66(x7713,x7715),a1)) % 1.23/1.25 [430]~P13(x4302,x4301,x4303)+~P13(x4301,x4302,x4303)+E(x4301,x4302)+~P20(x4303) % 1.23/1.25 [652]E(x6521,x6522)+P14(f46(x6521,x6522,a60,a60),x6523,f66(a60,a60))+P14(f46(x6522,x6521,a60,a60),x6523,f66(a60,a60))+~P14(x6523,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [678]E(x6781,x6782)+~P14(f46(x6781,x6782,a60,a60),x6783,f66(a60,a60))+P14(f46(x6781,x6782,a60,a60),f36(x6783,x6781,x6782),f66(a60,a60))+~P14(x6783,a5,f64(f66(a60,a60),a1)) % 1.23/1.25 [757]~P12(x7572,x7573)+~P12(x7571,x7573)+~P13(f59(x7571,x7572,x7573,x7573,x7573),x7571,f64(f66(x7573,x7573),a1))+P12(f3(x7571,x7572,f64(f66(x7573,x7573),a1)),x7573) % 1.23/1.25 [456]~P19(x4563)+~P13(x4561,x4564,x4563)+P13(x4561,x4562,x4563)+~P13(x4564,x4562,x4563) % 1.23/1.25 [457]~P20(x4573)+~P13(x4571,x4574,x4573)+P13(x4571,x4572,x4573)+~P13(x4574,x4572,x4573) % 1.23/1.26 [482]P14(x4823,x4821,x4824)+E(x4821,x4822)+P14(x4823,x4822,x4824)+~E(f56(x4823,x4821,x4824),f56(x4823,x4822,x4824)) % 1.23/1.26 [523]~P18(x5234)+~P13(x5231,x5233,x5234)+~P13(x5231,x5232,x5234)+P13(x5231,f4(x5232,x5233,x5234),x5234) % 1.23/1.26 [526]~P1(x5263)+~P13(x5262,x5264,x5263)+~P13(x5261,x5264,x5263)+P13(f3(x5261,x5262,x5263),x5264,x5263) % 1.23/1.26 [661]E(x6611,x6612)+E(x6613,x6612)+~P14(f46(x6613,x6611,a60,a60),x6614,f66(a60,a60))+P14(f46(x6613,x6611,a60,a60),f34(x6614,x6612),f66(a60,a60)) % 1.23/1.26 [662]E(x6621,x6622)+E(x6623,x6622)+~P14(f46(x6623,x6621,a60,a60),x6624,f66(a60,a60))+P14(f46(x6623,x6621,a60,a60),f35(x6624,x6622),f66(a60,a60)) % 1.23/1.26 [663]E(x6631,x6632)+E(x6633,x6631)+~P14(f46(x6633,x6631,a60,a60),x6634,f66(a60,a60))+P14(f46(x6633,x6631,a60,a60),f35(x6634,x6632),f66(a60,a60)) % 1.23/1.26 [664]E(x6641,x6642)+E(x6641,x6643)+~P14(f46(x6641,x6643,a60,a60),x6644,f66(a60,a60))+P14(f46(x6641,x6643,a60,a60),f34(x6644,x6642),f66(a60,a60)) % 1.23/1.26 [637]~P14(x6373,f62(x6374,a63),a63)+~P14(f46(x6372,f70(x6371,x6374),a63,a63),x6374,f66(a63,a63))+P22(f61(x6371,x6372))+P22(f61(x6371,x6373)) % 1.23/1.26 [638]~P14(x6383,f62(x6384,a63),a63)+~P14(f46(x6382,f71(x6381,x6384),a63,a63),x6384,f66(a63,a63))+P22(f61(x6381,x6382))+P22(f61(x6381,x6383)) % 1.23/1.26 [643]~P14(x6432,f62(x6434,a63),a63)+P14(x6433,f62(x6434,a63),a63)+~P14(f46(x6433,f70(x6431,x6434),a63,a63),x6434,f66(a63,a63))+P22(f61(x6431,x6432)) % 1.23/1.26 [644]~P14(x6442,f62(x6444,a63),a63)+P14(x6443,f62(x6444,a63),a63)+~P14(f46(x6443,f71(x6441,x6444),a63,a63),x6444,f66(a63,a63))+P22(f61(x6441,x6442)) % 1.23/1.26 [695]E(x6951,x6952)+~P14(f46(x6953,x6951,a60,a60),f36(x6954,x6951,x6952),f66(a60,a60))+P14(f46(x6953,x6952,a60,a60),x6954,f66(a60,a60))+~P14(x6954,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [696]E(x6961,x6962)+~P14(f46(x6961,x6963,a60,a60),f37(x6964,x6962,x6961),f66(a60,a60))+P14(f46(x6962,x6963,a60,a60),x6964,f66(a60,a60))+~P14(x6964,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [694]P7(x6941,x6942)+~P7(x6943,x6942)+~P14(x6941,f40(x6943,x6944,x6942),f64(x6942,a1))+~P13(x6944,f50(x6943,f33(x6943,f64(x6942,a1),x6942),x6942,x6942),f64(f66(x6942,x6942),a1)) % 1.23/1.26 [720]~P4(x7204,x7203)+~P14(f46(x7201,x7205,x7203,x7203),x7204,f66(x7203,x7203))+P14(f46(x7201,x7202,x7203,x7203),x7204,f66(x7203,x7203))+~P14(f46(x7205,x7202,x7203,x7203),x7204,f66(x7203,x7203)) % 1.23/1.26 [657]~P14(x6573,f62(x6574,x6575),x6575)+~P14(f46(x6572,f14(x6571,x6574,x6575),x6575,x6575),x6574,f66(x6575,x6575))+P22(f61(x6571,x6572))+P22(f61(x6571,x6573)) % 1.23/1.26 [658]~P14(x6583,f62(x6584,x6585),x6585)+~P14(f46(x6582,f27(x6581,x6584,x6585),x6585,x6585),x6584,f66(x6585,x6585))+P22(f61(x6581,x6582))+P22(f61(x6581,x6583)) % 1.23/1.26 [659]~P12(x6591,x6592)+~P14(x6593,x6594,x6592)+~P14(x6595,x6594,x6592)+~P14(f46(x6595,f29(x6594,x6591,x6592),x6592,x6592),x6591,f66(x6592,x6592)) % 1.23/1.26 [660]~P12(x6601,x6602)+~P14(x6603,x6604,x6602)+~P14(x6605,x6604,x6602)+~P14(f46(x6605,f32(x6604,x6601,x6602),x6602,x6602),x6601,f66(x6602,x6602)) % 1.23/1.26 [724]E(x7241,x7242)+P14(x7241,x7243,x7244)+~P14(f46(x7241,x7242,x7244,x7244),f52(x7245,x7244),f66(x7244,x7244))+~P13(x7245,f50(x7243,f33(x7243,f64(x7244,a1),x7244),x7244,x7244),f64(f66(x7244,x7244),a1)) % 1.23/1.26 [680]E(x6801,x6802)+E(x6803,x6802)+~P14(f46(x6803,x6801,a60,a60),x6804,f66(a60,a60))+P14(f46(x6802,x6801,a60,a60),f36(x6804,x6802,x6803),f66(a60,a60))+~P14(x6804,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [681]E(x6811,x6812)+E(x6813,x6812)+~P14(f46(x6813,x6811,a60,a60),x6814,f66(a60,a60))+P14(f46(x6812,x6811,a60,a60),f37(x6814,x6813,x6812),f66(a60,a60))+~P14(x6814,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [682]E(x6821,x6822)+E(x6823,x6822)+~P14(f46(x6823,x6821,a60,a60),x6824,f66(a60,a60))+P14(f46(x6823,x6822,a60,a60),f36(x6824,x6822,x6821),f66(a60,a60))+~P14(x6824,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [683]E(x6831,x6832)+E(x6833,x6832)+~P14(f46(x6833,x6831,a60,a60),x6834,f66(a60,a60))+P14(f46(x6833,x6832,a60,a60),f37(x6834,x6831,x6832),f66(a60,a60))+~P14(x6834,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [684]E(x6841,x6842)+E(x6843,x6841)+~P14(f46(x6843,x6841,a60,a60),x6844,f66(a60,a60))+P14(f46(x6843,x6841,a60,a60),f36(x6844,x6842,x6841),f66(a60,a60))+~P14(x6844,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [686]E(x6861,x6862)+E(x6861,x6863)+~P14(f46(x6862,x6861,a60,a60),x6864,f66(a60,a60))+P14(f46(x6862,x6861,a60,a60),f36(x6864,x6863,x6861),f66(a60,a60))+~P14(x6864,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [687]E(x6871,x6872)+E(x6871,x6873)+~P14(f46(x6871,x6872,a60,a60),x6874,f66(a60,a60))+P14(f46(x6871,x6872,a60,a60),f37(x6874,x6871,x6873),f66(a60,a60))+~P14(x6874,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [636]~P14(x6362,x6365,x6363)+~P14(x6361,x6365,x6363)+~P8(x6366,x6364,x6363)+P14(f46(x6361,x6362,x6363,x6363),x6364,f66(x6363,x6363))+~P14(x6365,f40(x6366,x6364,x6363),f64(x6363,a1)) % 1.23/1.26 [699]E(x6993,x6991)+E(x6991,x6992)+E(x6993,x6992)+~P14(f46(x6991,x6993,a60,a60),f36(x6994,x6991,x6992),f66(a60,a60))+P14(f46(x6992,x6993,a60,a60),x6994,f66(a60,a60))+~P14(x6994,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [700]E(x7003,x7001)+E(x7001,x7002)+E(x7003,x7002)+~P14(f46(x7003,x7001,a60,a60),f37(x7004,x7002,x7001),f66(a60,a60))+P14(f46(x7003,x7002,a60,a60),x7004,f66(a60,a60))+~P14(x7004,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [656]~P14(x6561,x6565,x6563)+~P10(x6565,x6564,x6563)+E(x6561,x6562)+~P14(x6562,x6565,x6563)+P14(f46(x6561,x6562,x6563,x6563),x6564,f66(x6563,x6563))+P14(f46(x6562,x6561,x6563,x6563),x6564,f66(x6563,x6563)) % 1.23/1.26 [697]E(x6971,x6972)+E(x6973,x6971)+E(x6974,x6971)+~P14(f46(x6974,x6973,a60,a60),f36(x6975,x6971,x6972),f66(a60,a60))+P14(f46(x6974,x6973,a60,a60),x6975,f66(a60,a60))+~P14(x6975,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [698]E(x6981,x6982)+E(x6983,x6981)+E(x6984,x6981)+~P14(f46(x6984,x6983,a60,a60),f37(x6985,x6982,x6981),f66(a60,a60))+P14(f46(x6984,x6983,a60,a60),x6985,f66(a60,a60))+~P14(x6985,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [688]E(x6884,x6883)+E(x6881,x6882)+E(x6883,x6882)+E(x6884,x6882)+~P14(f46(x6884,x6883,a60,a60),x6885,f66(a60,a60))+P14(f46(x6884,x6883,a60,a60),f37(x6885,x6881,x6882),f66(a60,a60))+~P14(x6885,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [689]E(x6894,x6893)+E(x6891,x6892)+E(x6893,x6891)+E(x6894,x6891)+~P14(f46(x6894,x6893,a60,a60),x6895,f66(a60,a60))+P14(f46(x6894,x6893,a60,a60),f36(x6895,x6891,x6892),f66(a60,a60))+~P14(x6895,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [731]E(x7311,x7312)+E(x7313,x7312)+E(x7314,x7313)+~P14(f46(x7314,x7313,a60,a60),x7315,f66(a60,a60))+~P14(f46(x7311,x7313,a60,a60),x7315,f66(a60,a60))+P14(f46(x7314,x7313,a60,a60),f37(x7315,x7311,x7312),f66(a60,a60))+~P14(x7315,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [732]E(x7321,x7322)+E(x7323,x7321)+E(x7324,x7323)+~P14(f46(x7324,x7323,a60,a60),x7325,f66(a60,a60))+~P14(f46(x7322,x7323,a60,a60),x7325,f66(a60,a60))+P14(f46(x7324,x7323,a60,a60),f36(x7325,x7321,x7322),f66(a60,a60))+~P14(x7325,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [733]E(x7331,x7332)+E(x7333,x7332)+E(x7333,x7334)+~P14(f46(x7333,x7334,a60,a60),x7335,f66(a60,a60))+~P14(f46(x7333,x7331,a60,a60),x7335,f66(a60,a60))+P14(f46(x7333,x7334,a60,a60),f37(x7335,x7331,x7332),f66(a60,a60))+~P14(x7335,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [734]E(x7341,x7342)+E(x7343,x7341)+E(x7343,x7344)+~P14(f46(x7343,x7344,a60,a60),x7345,f66(a60,a60))+~P14(f46(x7343,x7342,a60,a60),x7345,f66(a60,a60))+P14(f46(x7343,x7344,a60,a60),f36(x7345,x7341,x7342),f66(a60,a60))+~P14(x7345,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [749]E(x7491,x7492)+E(x7493,x7494)+~P14(f46(x7493,x7494,a60,a60),x7495,f66(a60,a60))+~P14(f46(x7492,x7494,a60,a60),x7495,f66(a60,a60))+~P14(f46(x7493,x7492,a60,a60),x7495,f66(a60,a60))+P14(f46(x7493,x7494,a60,a60),f36(x7495,x7491,x7492),f66(a60,a60))+~P14(x7495,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [750]E(x7501,x7502)+E(x7503,x7504)+~P14(f46(x7503,x7504,a60,a60),x7505,f66(a60,a60))+~P14(f46(x7501,x7504,a60,a60),x7505,f66(a60,a60))+~P14(f46(x7503,x7501,a60,a60),x7505,f66(a60,a60))+P14(f46(x7503,x7504,a60,a60),f37(x7505,x7501,x7502),f66(a60,a60))+~P14(x7505,a5,f64(f66(a60,a60),a1)) % 1.23/1.26 [690]E(x6901,x6902)+~P14(x6903,x6902,x6904)+~P14(x6905,x6901,x6904)+~P8(x6906,x6907,x6904)+~P14(f46(x6905,x6903,x6904,x6904),x6907,f66(x6904,x6904))+~P14(x6901,f40(x6906,x6907,x6904),f64(x6904,a1))+~P14(x6902,f40(x6906,x6907,x6904),f64(x6904,a1)) % 1.23/1.26 %EqnAxiom % 1.23/1.26 [1]E(x11,x11) % 1.23/1.26 [2]E(x22,x21)+~E(x21,x22) % 1.23/1.26 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.23/1.26 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 1.23/1.26 [5]~E(x51,x52)+E(f66(x51,x53),f66(x52,x53)) % 1.23/1.26 [6]~E(x61,x62)+E(f66(x63,x61),f66(x63,x62)) % 1.23/1.26 [7]~E(x71,x72)+E(f52(x71,x73),f52(x72,x73)) % 1.23/1.26 [8]~E(x81,x82)+E(f52(x83,x81),f52(x83,x82)) % 1.23/1.26 [9]~E(x91,x92)+E(f53(x91,x93),f53(x92,x93)) % 1.23/1.26 [10]~E(x101,x102)+E(f53(x103,x101),f53(x103,x102)) % 1.23/1.26 [11]~E(x111,x112)+E(f46(x111,x113,x114,x115),f46(x112,x113,x114,x115)) % 1.23/1.26 [12]~E(x121,x122)+E(f46(x123,x121,x124,x125),f46(x123,x122,x124,x125)) % 1.23/1.26 [13]~E(x131,x132)+E(f46(x133,x134,x131,x135),f46(x133,x134,x132,x135)) % 1.23/1.26 [14]~E(x141,x142)+E(f46(x143,x144,x145,x141),f46(x143,x144,x145,x142)) % 1.23/1.26 [15]~E(x151,x152)+E(f43(x151,x153,x154,x155,x156),f43(x152,x153,x154,x155,x156)) % 1.23/1.26 [16]~E(x161,x162)+E(f43(x163,x161,x164,x165,x166),f43(x163,x162,x164,x165,x166)) % 1.23/1.26 [17]~E(x171,x172)+E(f43(x173,x174,x171,x175,x176),f43(x173,x174,x172,x175,x176)) % 1.23/1.26 [18]~E(x181,x182)+E(f43(x183,x184,x185,x181,x186),f43(x183,x184,x185,x182,x186)) % 1.23/1.26 [19]~E(x191,x192)+E(f43(x193,x194,x195,x196,x191),f43(x193,x194,x195,x196,x192)) % 1.23/1.26 [20]~E(x201,x202)+E(f64(x201,x203),f64(x202,x203)) % 1.23/1.26 [21]~E(x211,x212)+E(f64(x213,x211),f64(x213,x212)) % 1.23/1.26 [22]~E(x221,x222)+E(f41(x221,x223,x224,x225),f41(x222,x223,x224,x225)) % 1.23/1.26 [23]~E(x231,x232)+E(f41(x233,x231,x234,x235),f41(x233,x232,x234,x235)) % 1.23/1.26 [24]~E(x241,x242)+E(f41(x243,x244,x241,x245),f41(x243,x244,x242,x245)) % 1.23/1.26 [25]~E(x251,x252)+E(f41(x253,x254,x255,x251),f41(x253,x254,x255,x252)) % 1.23/1.26 [26]~E(x261,x262)+E(f59(x261,x263,x264,x265,x266),f59(x262,x263,x264,x265,x266)) % 1.23/1.26 [27]~E(x271,x272)+E(f59(x273,x271,x274,x275,x276),f59(x273,x272,x274,x275,x276)) % 1.23/1.26 [28]~E(x281,x282)+E(f59(x283,x284,x281,x285,x286),f59(x283,x284,x282,x285,x286)) % 1.23/1.26 [29]~E(x291,x292)+E(f59(x293,x294,x295,x291,x296),f59(x293,x294,x295,x292,x296)) % 1.23/1.26 [30]~E(x301,x302)+E(f59(x303,x304,x305,x306,x301),f59(x303,x304,x305,x306,x302)) % 1.23/1.26 [31]~E(x311,x312)+E(f54(x311,x313,x314),f54(x312,x313,x314)) % 1.23/1.26 [32]~E(x321,x322)+E(f54(x323,x321,x324),f54(x323,x322,x324)) % 1.23/1.26 [33]~E(x331,x332)+E(f54(x333,x334,x331),f54(x333,x334,x332)) % 1.23/1.26 [34]~E(x341,x342)+E(f17(x341,x343,x344),f17(x342,x343,x344)) % 1.23/1.26 [35]~E(x351,x352)+E(f17(x353,x351,x354),f17(x353,x352,x354)) % 1.23/1.26 [36]~E(x361,x362)+E(f17(x363,x364,x361),f17(x363,x364,x362)) % 1.23/1.26 [37]~E(x371,x372)+E(f50(x371,x373,x374,x375),f50(x372,x373,x374,x375)) % 1.23/1.26 [38]~E(x381,x382)+E(f50(x383,x381,x384,x385),f50(x383,x382,x384,x385)) % 1.23/1.26 [39]~E(x391,x392)+E(f50(x393,x394,x391,x395),f50(x393,x394,x392,x395)) % 1.23/1.26 [40]~E(x401,x402)+E(f50(x403,x404,x405,x401),f50(x403,x404,x405,x402)) % 1.23/1.26 [41]~E(x411,x412)+E(f33(x411,x413,x414),f33(x412,x413,x414)) % 1.23/1.26 [42]~E(x421,x422)+E(f33(x423,x421,x424),f33(x423,x422,x424)) % 1.23/1.26 [43]~E(x431,x432)+E(f33(x433,x434,x431),f33(x433,x434,x432)) % 1.23/1.26 [44]~E(x441,x442)+E(f16(x441,x443,x444),f16(x442,x443,x444)) % 1.23/1.26 [45]~E(x451,x452)+E(f16(x453,x451,x454),f16(x453,x452,x454)) % 1.23/1.26 [46]~E(x461,x462)+E(f16(x463,x464,x461),f16(x463,x464,x462)) % 1.23/1.26 [47]~E(x471,x472)+E(f3(x471,x473,x474),f3(x472,x473,x474)) % 1.23/1.26 [48]~E(x481,x482)+E(f3(x483,x481,x484),f3(x483,x482,x484)) % 1.23/1.26 [49]~E(x491,x492)+E(f3(x493,x494,x491),f3(x493,x494,x492)) % 1.23/1.26 [50]~E(x501,x502)+E(f39(x501,x503),f39(x502,x503)) % 1.23/1.26 [51]~E(x511,x512)+E(f39(x513,x511),f39(x513,x512)) % 1.23/1.26 [52]~E(x521,x522)+E(f4(x521,x523,x524),f4(x522,x523,x524)) % 1.23/1.26 [53]~E(x531,x532)+E(f4(x533,x531,x534),f4(x533,x532,x534)) % 1.23/1.26 [54]~E(x541,x542)+E(f4(x543,x544,x541),f4(x543,x544,x542)) % 1.23/1.26 [55]~E(x551,x552)+E(f27(x551,x553,x554),f27(x552,x553,x554)) % 1.23/1.26 [56]~E(x561,x562)+E(f27(x563,x561,x564),f27(x563,x562,x564)) % 1.23/1.26 [57]~E(x571,x572)+E(f27(x573,x574,x571),f27(x573,x574,x572)) % 1.23/1.26 [58]~E(x581,x582)+E(f61(x581,x583),f61(x582,x583)) % 1.23/1.26 [59]~E(x591,x592)+E(f61(x593,x591),f61(x593,x592)) % 1.23/1.26 [60]~E(x601,x602)+E(f45(x601,x603,x604),f45(x602,x603,x604)) % 1.23/1.26 [61]~E(x611,x612)+E(f45(x613,x611,x614),f45(x613,x612,x614)) % 1.23/1.26 [62]~E(x621,x622)+E(f45(x623,x624,x621),f45(x623,x624,x622)) % 1.23/1.26 [63]~E(x631,x632)+E(f58(x631,x633,x634,x635),f58(x632,x633,x634,x635)) % 1.23/1.26 [64]~E(x641,x642)+E(f58(x643,x641,x644,x645),f58(x643,x642,x644,x645)) % 1.23/1.26 [65]~E(x651,x652)+E(f58(x653,x654,x651,x655),f58(x653,x654,x652,x655)) % 1.23/1.26 [66]~E(x661,x662)+E(f58(x663,x664,x665,x661),f58(x663,x664,x665,x662)) % 1.23/1.26 [67]~E(x671,x672)+E(f19(x671,x673,x674,x675),f19(x672,x673,x674,x675)) % 1.23/1.26 [68]~E(x681,x682)+E(f19(x683,x681,x684,x685),f19(x683,x682,x684,x685)) % 1.23/1.26 [69]~E(x691,x692)+E(f19(x693,x694,x691,x695),f19(x693,x694,x692,x695)) % 1.23/1.26 [70]~E(x701,x702)+E(f19(x703,x704,x705,x701),f19(x703,x704,x705,x702)) % 1.23/1.26 [71]~E(x711,x712)+E(f38(x711,x713),f38(x712,x713)) % 1.23/1.26 [72]~E(x721,x722)+E(f38(x723,x721),f38(x723,x722)) % 1.23/1.26 [73]~E(x731,x732)+E(f34(x731,x733),f34(x732,x733)) % 1.23/1.26 [74]~E(x741,x742)+E(f34(x743,x741),f34(x743,x742)) % 1.23/1.26 [75]~E(x751,x752)+E(f20(x751,x753,x754,x755,x756),f20(x752,x753,x754,x755,x756)) % 1.23/1.26 [76]~E(x761,x762)+E(f20(x763,x761,x764,x765,x766),f20(x763,x762,x764,x765,x766)) % 1.23/1.26 [77]~E(x771,x772)+E(f20(x773,x774,x771,x775,x776),f20(x773,x774,x772,x775,x776)) % 1.23/1.26 [78]~E(x781,x782)+E(f20(x783,x784,x785,x781,x786),f20(x783,x784,x785,x782,x786)) % 1.23/1.26 [79]~E(x791,x792)+E(f20(x793,x794,x795,x796,x791),f20(x793,x794,x795,x796,x792)) % 1.23/1.26 [80]~E(x801,x802)+E(f32(x801,x803,x804),f32(x802,x803,x804)) % 1.23/1.26 [81]~E(x811,x812)+E(f32(x813,x811,x814),f32(x813,x812,x814)) % 1.23/1.26 [82]~E(x821,x822)+E(f32(x823,x824,x821),f32(x823,x824,x822)) % 1.23/1.26 [83]~E(x831,x832)+E(f56(x831,x833,x834),f56(x832,x833,x834)) % 1.23/1.26 [84]~E(x841,x842)+E(f56(x843,x841,x844),f56(x843,x842,x844)) % 1.23/1.26 [85]~E(x851,x852)+E(f56(x853,x854,x851),f56(x853,x854,x852)) % 1.23/1.26 [86]~E(x861,x862)+E(f36(x861,x863,x864),f36(x862,x863,x864)) % 1.23/1.26 [87]~E(x871,x872)+E(f36(x873,x871,x874),f36(x873,x872,x874)) % 1.23/1.26 [88]~E(x881,x882)+E(f36(x883,x884,x881),f36(x883,x884,x882)) % 1.23/1.26 [89]~E(x891,x892)+E(f29(x891,x893,x894),f29(x892,x893,x894)) % 1.23/1.26 [90]~E(x901,x902)+E(f29(x903,x901,x904),f29(x903,x902,x904)) % 1.23/1.26 [91]~E(x911,x912)+E(f29(x913,x914,x911),f29(x913,x914,x912)) % 1.23/1.26 [92]~E(x921,x922)+E(f37(x921,x923,x924),f37(x922,x923,x924)) % 1.23/1.26 [93]~E(x931,x932)+E(f37(x933,x931,x934),f37(x933,x932,x934)) % 1.23/1.26 [94]~E(x941,x942)+E(f37(x943,x944,x941),f37(x943,x944,x942)) % 1.23/1.26 [95]~E(x951,x952)+E(f7(x951,x953,x954),f7(x952,x953,x954)) % 1.23/1.26 [96]~E(x961,x962)+E(f7(x963,x961,x964),f7(x963,x962,x964)) % 1.23/1.26 [97]~E(x971,x972)+E(f7(x973,x974,x971),f7(x973,x974,x972)) % 1.23/1.26 [98]~E(x981,x982)+E(f62(x981,x983),f62(x982,x983)) % 1.23/1.26 [99]~E(x991,x992)+E(f62(x993,x991),f62(x993,x992)) % 1.23/1.26 [100]~E(x1001,x1002)+E(f51(x1001,x1003,x1004,x1005,x1006),f51(x1002,x1003,x1004,x1005,x1006)) % 1.23/1.26 [101]~E(x1011,x1012)+E(f51(x1013,x1011,x1014,x1015,x1016),f51(x1013,x1012,x1014,x1015,x1016)) % 1.23/1.26 [102]~E(x1021,x1022)+E(f51(x1023,x1024,x1021,x1025,x1026),f51(x1023,x1024,x1022,x1025,x1026)) % 1.23/1.26 [103]~E(x1031,x1032)+E(f51(x1033,x1034,x1035,x1031,x1036),f51(x1033,x1034,x1035,x1032,x1036)) % 1.23/1.26 [104]~E(x1041,x1042)+E(f51(x1043,x1044,x1045,x1046,x1041),f51(x1043,x1044,x1045,x1046,x1042)) % 1.23/1.26 [105]~E(x1051,x1052)+E(f55(x1051,x1053,x1054,x1055),f55(x1052,x1053,x1054,x1055)) % 1.23/1.26 [106]~E(x1061,x1062)+E(f55(x1063,x1061,x1064,x1065),f55(x1063,x1062,x1064,x1065)) % 1.23/1.26 [107]~E(x1071,x1072)+E(f55(x1073,x1074,x1071,x1075),f55(x1073,x1074,x1072,x1075)) % 1.23/1.26 [108]~E(x1081,x1082)+E(f55(x1083,x1084,x1085,x1081),f55(x1083,x1084,x1085,x1082)) % 1.23/1.26 [109]~E(x1091,x1092)+E(f49(x1091,x1093,x1094,x1095,x1096,x1097),f49(x1092,x1093,x1094,x1095,x1096,x1097)) % 1.23/1.26 [110]~E(x1101,x1102)+E(f49(x1103,x1101,x1104,x1105,x1106,x1107),f49(x1103,x1102,x1104,x1105,x1106,x1107)) % 1.23/1.26 [111]~E(x1111,x1112)+E(f49(x1113,x1114,x1111,x1115,x1116,x1117),f49(x1113,x1114,x1112,x1115,x1116,x1117)) % 1.23/1.26 [112]~E(x1121,x1122)+E(f49(x1123,x1124,x1125,x1121,x1126,x1127),f49(x1123,x1124,x1125,x1122,x1126,x1127)) % 1.23/1.26 [113]~E(x1131,x1132)+E(f49(x1133,x1134,x1135,x1136,x1131,x1137),f49(x1133,x1134,x1135,x1136,x1132,x1137)) % 1.23/1.26 [114]~E(x1141,x1142)+E(f49(x1143,x1144,x1145,x1146,x1147,x1141),f49(x1143,x1144,x1145,x1146,x1147,x1142)) % 1.23/1.26 [115]~E(x1151,x1152)+E(f28(x1151,x1153),f28(x1152,x1153)) % 1.23/1.26 [116]~E(x1161,x1162)+E(f28(x1163,x1161),f28(x1163,x1162)) % 1.23/1.26 [117]~E(x1171,x1172)+E(f15(x1171,x1173,x1174),f15(x1172,x1173,x1174)) % 1.23/1.26 [118]~E(x1181,x1182)+E(f15(x1183,x1181,x1184),f15(x1183,x1182,x1184)) % 1.23/1.26 [119]~E(x1191,x1192)+E(f15(x1193,x1194,x1191),f15(x1193,x1194,x1192)) % 1.23/1.26 [120]~E(x1201,x1202)+E(f57(x1201,x1203,x1204,x1205),f57(x1202,x1203,x1204,x1205)) % 1.23/1.26 [121]~E(x1211,x1212)+E(f57(x1213,x1211,x1214,x1215),f57(x1213,x1212,x1214,x1215)) % 1.23/1.26 [122]~E(x1221,x1222)+E(f57(x1223,x1224,x1221,x1225),f57(x1223,x1224,x1222,x1225)) % 1.23/1.26 [123]~E(x1231,x1232)+E(f57(x1233,x1234,x1235,x1231),f57(x1233,x1234,x1235,x1232)) % 1.23/1.26 [124]~E(x1241,x1242)+E(f14(x1241,x1243,x1244),f14(x1242,x1243,x1244)) % 1.23/1.26 [125]~E(x1251,x1252)+E(f14(x1253,x1251,x1254),f14(x1253,x1252,x1254)) % 1.23/1.26 [126]~E(x1261,x1262)+E(f14(x1263,x1264,x1261),f14(x1263,x1264,x1262)) % 1.23/1.26 [127]~E(x1271,x1272)+E(f71(x1271,x1273),f71(x1272,x1273)) % 1.23/1.26 [128]~E(x1281,x1282)+E(f71(x1283,x1281),f71(x1283,x1282)) % 1.23/1.26 [129]~E(x1291,x1292)+E(f42(x1291,x1293,x1294,x1295,x1296),f42(x1292,x1293,x1294,x1295,x1296)) % 1.23/1.26 [130]~E(x1301,x1302)+E(f42(x1303,x1301,x1304,x1305,x1306),f42(x1303,x1302,x1304,x1305,x1306)) % 1.23/1.26 [131]~E(x1311,x1312)+E(f42(x1313,x1314,x1311,x1315,x1316),f42(x1313,x1314,x1312,x1315,x1316)) % 1.23/1.26 [132]~E(x1321,x1322)+E(f42(x1323,x1324,x1325,x1321,x1326),f42(x1323,x1324,x1325,x1322,x1326)) % 1.23/1.26 [133]~E(x1331,x1332)+E(f42(x1333,x1334,x1335,x1336,x1331),f42(x1333,x1334,x1335,x1336,x1332)) % 1.23/1.26 [134]~E(x1341,x1342)+E(f13(x1341,x1343,x1344,x1345,x1346),f13(x1342,x1343,x1344,x1345,x1346)) % 1.23/1.26 [135]~E(x1351,x1352)+E(f13(x1353,x1351,x1354,x1355,x1356),f13(x1353,x1352,x1354,x1355,x1356)) % 1.23/1.26 [136]~E(x1361,x1362)+E(f13(x1363,x1364,x1361,x1365,x1366),f13(x1363,x1364,x1362,x1365,x1366)) % 1.23/1.26 [137]~E(x1371,x1372)+E(f13(x1373,x1374,x1375,x1371,x1376),f13(x1373,x1374,x1375,x1372,x1376)) % 1.23/1.26 [138]~E(x1381,x1382)+E(f13(x1383,x1384,x1385,x1386,x1381),f13(x1383,x1384,x1385,x1386,x1382)) % 1.23/1.26 [139]~E(x1391,x1392)+E(f40(x1391,x1393,x1394),f40(x1392,x1393,x1394)) % 1.23/1.26 [140]~E(x1401,x1402)+E(f40(x1403,x1401,x1404),f40(x1403,x1402,x1404)) % 1.23/1.26 [141]~E(x1411,x1412)+E(f40(x1413,x1414,x1411),f40(x1413,x1414,x1412)) % 1.23/1.26 [142]~E(x1421,x1422)+E(f21(x1421,x1423,x1424,x1425,x1426),f21(x1422,x1423,x1424,x1425,x1426)) % 1.23/1.26 [143]~E(x1431,x1432)+E(f21(x1433,x1431,x1434,x1435,x1436),f21(x1433,x1432,x1434,x1435,x1436)) % 1.23/1.26 [144]~E(x1441,x1442)+E(f21(x1443,x1444,x1441,x1445,x1446),f21(x1443,x1444,x1442,x1445,x1446)) % 1.23/1.26 [145]~E(x1451,x1452)+E(f21(x1453,x1454,x1455,x1451,x1456),f21(x1453,x1454,x1455,x1452,x1456)) % 1.23/1.26 [146]~E(x1461,x1462)+E(f21(x1463,x1464,x1465,x1466,x1461),f21(x1463,x1464,x1465,x1466,x1462)) % 1.23/1.26 [147]~E(x1471,x1472)+E(f23(x1471,x1473,x1474,x1475),f23(x1472,x1473,x1474,x1475)) % 1.23/1.26 [148]~E(x1481,x1482)+E(f23(x1483,x1481,x1484,x1485),f23(x1483,x1482,x1484,x1485)) % 1.23/1.26 [149]~E(x1491,x1492)+E(f23(x1493,x1494,x1491,x1495),f23(x1493,x1494,x1492,x1495)) % 1.23/1.26 [150]~E(x1501,x1502)+E(f23(x1503,x1504,x1505,x1501),f23(x1503,x1504,x1505,x1502)) % 1.23/1.26 [151]~E(x1511,x1512)+E(f25(x1511,x1513,x1514,x1515),f25(x1512,x1513,x1514,x1515)) % 1.23/1.26 [152]~E(x1521,x1522)+E(f25(x1523,x1521,x1524,x1525),f25(x1523,x1522,x1524,x1525)) % 1.23/1.26 [153]~E(x1531,x1532)+E(f25(x1533,x1534,x1531,x1535),f25(x1533,x1534,x1532,x1535)) % 1.23/1.26 [154]~E(x1541,x1542)+E(f25(x1543,x1544,x1545,x1541),f25(x1543,x1544,x1545,x1542)) % 1.23/1.26 [155]~E(x1551,x1552)+E(f35(x1551,x1553),f35(x1552,x1553)) % 1.23/1.26 [156]~E(x1561,x1562)+E(f35(x1563,x1561),f35(x1563,x1562)) % 1.23/1.26 [157]~E(x1571,x1572)+E(f10(x1571,x1573),f10(x1572,x1573)) % 1.23/1.26 [158]~E(x1581,x1582)+E(f10(x1583,x1581),f10(x1583,x1582)) % 1.23/1.26 [159]~E(x1591,x1592)+E(f9(x1591,x1593,x1594),f9(x1592,x1593,x1594)) % 1.23/1.26 [160]~E(x1601,x1602)+E(f9(x1603,x1601,x1604),f9(x1603,x1602,x1604)) % 1.23/1.26 [161]~E(x1611,x1612)+E(f9(x1613,x1614,x1611),f9(x1613,x1614,x1612)) % 1.23/1.26 [162]~E(x1621,x1622)+E(f30(x1621,x1623,x1624),f30(x1622,x1623,x1624)) % 1.23/1.26 [163]~E(x1631,x1632)+E(f30(x1633,x1631,x1634),f30(x1633,x1632,x1634)) % 1.23/1.26 [164]~E(x1641,x1642)+E(f30(x1643,x1644,x1641),f30(x1643,x1644,x1642)) % 1.23/1.26 [165]~E(x1651,x1652)+E(f44(x1651,x1653,x1654,x1655,x1656),f44(x1652,x1653,x1654,x1655,x1656)) % 1.23/1.26 [166]~E(x1661,x1662)+E(f44(x1663,x1661,x1664,x1665,x1666),f44(x1663,x1662,x1664,x1665,x1666)) % 1.23/1.26 [167]~E(x1671,x1672)+E(f44(x1673,x1674,x1671,x1675,x1676),f44(x1673,x1674,x1672,x1675,x1676)) % 1.23/1.26 [168]~E(x1681,x1682)+E(f44(x1683,x1684,x1685,x1681,x1686),f44(x1683,x1684,x1685,x1682,x1686)) % 1.23/1.26 [169]~E(x1691,x1692)+E(f44(x1693,x1694,x1695,x1696,x1691),f44(x1693,x1694,x1695,x1696,x1692)) % 1.23/1.26 [170]~E(x1701,x1702)+E(f31(x1701,x1703,x1704,x1705),f31(x1702,x1703,x1704,x1705)) % 1.23/1.26 [171]~E(x1711,x1712)+E(f31(x1713,x1711,x1714,x1715),f31(x1713,x1712,x1714,x1715)) % 1.23/1.26 [172]~E(x1721,x1722)+E(f31(x1723,x1724,x1721,x1725),f31(x1723,x1724,x1722,x1725)) % 1.23/1.26 [173]~E(x1731,x1732)+E(f31(x1733,x1734,x1735,x1731),f31(x1733,x1734,x1735,x1732)) % 1.23/1.26 [174]~E(x1741,x1742)+E(f69(x1741,x1743),f69(x1742,x1743)) % 1.23/1.26 [175]~E(x1751,x1752)+E(f69(x1753,x1751),f69(x1753,x1752)) % 1.23/1.26 [176]~E(x1761,x1762)+E(f6(x1761,x1763),f6(x1762,x1763)) % 1.23/1.26 [177]~E(x1771,x1772)+E(f6(x1773,x1771),f6(x1773,x1772)) % 1.23/1.26 [178]~E(x1781,x1782)+E(f24(x1781,x1783,x1784,x1785,x1786,x1787,x1788),f24(x1782,x1783,x1784,x1785,x1786,x1787,x1788)) % 1.23/1.26 [179]~E(x1791,x1792)+E(f24(x1793,x1791,x1794,x1795,x1796,x1797,x1798),f24(x1793,x1792,x1794,x1795,x1796,x1797,x1798)) % 1.23/1.26 [180]~E(x1801,x1802)+E(f24(x1803,x1804,x1801,x1805,x1806,x1807,x1808),f24(x1803,x1804,x1802,x1805,x1806,x1807,x1808)) % 1.23/1.26 [181]~E(x1811,x1812)+E(f24(x1813,x1814,x1815,x1811,x1816,x1817,x1818),f24(x1813,x1814,x1815,x1812,x1816,x1817,x1818)) % 1.23/1.26 [182]~E(x1821,x1822)+E(f24(x1823,x1824,x1825,x1826,x1821,x1827,x1828),f24(x1823,x1824,x1825,x1826,x1822,x1827,x1828)) % 1.23/1.26 [183]~E(x1831,x1832)+E(f24(x1833,x1834,x1835,x1836,x1837,x1831,x1838),f24(x1833,x1834,x1835,x1836,x1837,x1832,x1838)) % 1.23/1.26 [184]~E(x1841,x1842)+E(f24(x1843,x1844,x1845,x1846,x1847,x1848,x1841),f24(x1843,x1844,x1845,x1846,x1847,x1848,x1842)) % 1.23/1.26 [185]~E(x1851,x1852)+E(f18(x1851,x1853,x1854,x1855),f18(x1852,x1853,x1854,x1855)) % 1.23/1.26 [186]~E(x1861,x1862)+E(f18(x1863,x1861,x1864,x1865),f18(x1863,x1862,x1864,x1865)) % 1.23/1.26 [187]~E(x1871,x1872)+E(f18(x1873,x1874,x1871,x1875),f18(x1873,x1874,x1872,x1875)) % 1.23/1.26 [188]~E(x1881,x1882)+E(f18(x1883,x1884,x1885,x1881),f18(x1883,x1884,x1885,x1882)) % 1.23/1.26 [189]~E(x1891,x1892)+E(f22(x1891,x1893),f22(x1892,x1893)) % 1.23/1.26 [190]~E(x1901,x1902)+E(f22(x1903,x1901),f22(x1903,x1902)) % 1.23/1.26 [191]~E(x1911,x1912)+E(f70(x1911,x1913),f70(x1912,x1913)) % 1.23/1.26 [192]~E(x1921,x1922)+E(f70(x1923,x1921),f70(x1923,x1922)) % 1.23/1.26 [193]~E(x1931,x1932)+E(f8(x1931,x1933,x1934),f8(x1932,x1933,x1934)) % 1.23/1.26 [194]~E(x1941,x1942)+E(f8(x1943,x1941,x1944),f8(x1943,x1942,x1944)) % 1.23/1.26 [195]~E(x1951,x1952)+E(f8(x1953,x1954,x1951),f8(x1953,x1954,x1952)) % 1.23/1.26 [196]~E(x1961,x1962)+E(f47(x1961,x1963,x1964,x1965),f47(x1962,x1963,x1964,x1965)) % 1.23/1.26 [197]~E(x1971,x1972)+E(f47(x1973,x1971,x1974,x1975),f47(x1973,x1972,x1974,x1975)) % 1.23/1.26 [198]~E(x1981,x1982)+E(f47(x1983,x1984,x1981,x1985),f47(x1983,x1984,x1982,x1985)) % 1.23/1.26 [199]~E(x1991,x1992)+E(f47(x1993,x1994,x1995,x1991),f47(x1993,x1994,x1995,x1992)) % 1.23/1.26 [200]~E(x2001,x2002)+E(f26(x2001,x2003,x2004,x2005),f26(x2002,x2003,x2004,x2005)) % 1.23/1.26 [201]~E(x2011,x2012)+E(f26(x2013,x2011,x2014,x2015),f26(x2013,x2012,x2014,x2015)) % 1.23/1.26 [202]~E(x2021,x2022)+E(f26(x2023,x2024,x2021,x2025),f26(x2023,x2024,x2022,x2025)) % 1.23/1.26 [203]~E(x2031,x2032)+E(f26(x2033,x2034,x2035,x2031),f26(x2033,x2034,x2035,x2032)) % 1.23/1.26 [204]~E(x2041,x2042)+E(f48(x2041,x2043),f48(x2042,x2043)) % 1.23/1.26 [205]~E(x2051,x2052)+E(f48(x2053,x2051),f48(x2053,x2052)) % 1.23/1.26 [206]~E(x2061,x2062)+E(f11(x2061,x2063,x2064,x2065),f11(x2062,x2063,x2064,x2065)) % 1.23/1.26 [207]~E(x2071,x2072)+E(f11(x2073,x2071,x2074,x2075),f11(x2073,x2072,x2074,x2075)) % 1.23/1.26 [208]~E(x2081,x2082)+E(f11(x2083,x2084,x2081,x2085),f11(x2083,x2084,x2082,x2085)) % 1.23/1.26 [209]~E(x2091,x2092)+E(f11(x2093,x2094,x2095,x2091),f11(x2093,x2094,x2095,x2092)) % 1.23/1.26 [210]~E(x2101,x2102)+E(f12(x2101,x2103,x2104,x2105),f12(x2102,x2103,x2104,x2105)) % 1.23/1.26 [211]~E(x2111,x2112)+E(f12(x2113,x2111,x2114,x2115),f12(x2113,x2112,x2114,x2115)) % 1.23/1.26 [212]~E(x2121,x2122)+E(f12(x2123,x2124,x2121,x2125),f12(x2123,x2124,x2122,x2125)) % 1.23/1.26 [213]~E(x2131,x2132)+E(f12(x2133,x2134,x2135,x2131),f12(x2133,x2134,x2135,x2132)) % 1.23/1.26 [214]~P1(x2141)+P1(x2142)+~E(x2141,x2142) % 1.23/1.26 [215]~P2(x2151)+P2(x2152)+~E(x2151,x2152) % 1.23/1.26 [216]~P3(x2161)+P3(x2162)+~E(x2161,x2162) % 1.23/1.26 [217]~P17(x2171)+P17(x2172)+~E(x2171,x2172) % 1.23/1.26 [218]~P18(x2181)+P18(x2182)+~E(x2181,x2182) % 1.23/1.26 [219]~P15(x2191)+P15(x2192)+~E(x2191,x2192) % 1.23/1.26 [220]~P19(x2201)+P19(x2202)+~E(x2201,x2202) % 1.23/1.26 [221]~P20(x2211)+P20(x2212)+~E(x2211,x2212) % 1.23/1.26 [222]~P16(x2221)+P16(x2222)+~E(x2221,x2222) % 1.23/1.26 [223]P4(x2232,x2233)+~E(x2231,x2232)+~P4(x2231,x2233) % 1.23/1.26 [224]P4(x2243,x2242)+~E(x2241,x2242)+~P4(x2243,x2241) % 1.23/1.26 [225]P5(x2252,x2253)+~E(x2251,x2252)+~P5(x2251,x2253) % 1.23/1.26 [226]P5(x2263,x2262)+~E(x2261,x2262)+~P5(x2263,x2261) % 1.23/1.26 [227]P12(x2272,x2273)+~E(x2271,x2272)+~P12(x2271,x2273) % 1.23/1.26 [228]P12(x2283,x2282)+~E(x2281,x2282)+~P12(x2283,x2281) % 1.23/1.26 [229]P13(x2292,x2293,x2294)+~E(x2291,x2292)+~P13(x2291,x2293,x2294) % 1.23/1.26 [230]P13(x2303,x2302,x2304)+~E(x2301,x2302)+~P13(x2303,x2301,x2304) % 1.23/1.26 [231]P13(x2313,x2314,x2312)+~E(x2311,x2312)+~P13(x2313,x2314,x2311) % 1.23/1.26 [232]P14(x2322,x2323,x2324)+~E(x2321,x2322)+~P14(x2321,x2323,x2324) % 1.23/1.26 [233]P14(x2333,x2332,x2334)+~E(x2331,x2332)+~P14(x2333,x2331,x2334) % 1.23/1.26 [234]P14(x2343,x2344,x2342)+~E(x2341,x2342)+~P14(x2343,x2344,x2341) % 1.23/1.26 [235]P11(x2352,x2353,x2354)+~E(x2351,x2352)+~P11(x2351,x2353,x2354) % 1.23/1.26 [236]P11(x2363,x2362,x2364)+~E(x2361,x2362)+~P11(x2363,x2361,x2364) % 1.23/1.26 [237]P11(x2373,x2374,x2372)+~E(x2371,x2372)+~P11(x2373,x2374,x2371) % 1.23/1.26 [238]~P22(x2381)+P22(x2382)+~E(x2381,x2382) % 1.23/1.26 [239]P7(x2392,x2393)+~E(x2391,x2392)+~P7(x2391,x2393) % 1.23/1.26 [240]P7(x2403,x2402)+~E(x2401,x2402)+~P7(x2403,x2401) % 1.23/1.26 [241]P6(x2412,x2413,x2414)+~E(x2411,x2412)+~P6(x2411,x2413,x2414) % 1.23/1.26 [242]P6(x2423,x2422,x2424)+~E(x2421,x2422)+~P6(x2423,x2421,x2424) % 1.23/1.26 [243]P6(x2433,x2434,x2432)+~E(x2431,x2432)+~P6(x2433,x2434,x2431) % 1.23/1.26 [244]P8(x2442,x2443,x2444)+~E(x2441,x2442)+~P8(x2441,x2443,x2444) % 1.23/1.26 [245]P8(x2453,x2452,x2454)+~E(x2451,x2452)+~P8(x2453,x2451,x2454) % 1.23/1.26 [246]P8(x2463,x2464,x2462)+~E(x2461,x2462)+~P8(x2463,x2464,x2461) % 1.23/1.26 [247]P10(x2472,x2473,x2474)+~E(x2471,x2472)+~P10(x2471,x2473,x2474) % 1.23/1.26 [248]P10(x2483,x2482,x2484)+~E(x2481,x2482)+~P10(x2483,x2481,x2484) % 1.23/1.26 [249]P10(x2493,x2494,x2492)+~E(x2491,x2492)+~P10(x2493,x2494,x2491) % 1.23/1.26 [250]~P23(x2501)+P23(x2502)+~E(x2501,x2502) % 1.23/1.26 [251]~P21(x2511)+P21(x2512)+~E(x2511,x2512) % 1.23/1.26 [252]P9(x2522,x2523)+~E(x2521,x2522)+~P9(x2521,x2523) % 1.23/1.26 [253]P9(x2533,x2532)+~E(x2531,x2532)+~P9(x2533,x2531) % 1.23/1.26 % 1.23/1.26 %------------------------------------------- % 1.23/1.26 cnf(807,plain, % 1.23/1.26 (P14(f34(a65,x8071),a5,f64(f66(a60,a60),a1))), % 1.23/1.26 inference(scs_inference,[],[278,367,295,390,394,508])). % 1.23/1.26 cnf(812,plain, % 1.23/1.26 (P13(x8121,f56(x8122,x8121,x8123),f64(x8123,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(815,plain, % 1.23/1.26 (~P14(f46(x8151,x8152,a60,a60),f35(x8153,x8152),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(820,plain, % 1.23/1.26 (P14(x8201,f56(x8201,x8202,x8203),x8203)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(823,plain, % 1.23/1.26 (~P14(f46(x8231,x8232,a60,a60),f35(x8233,x8232),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(827,plain, % 1.23/1.26 (P14(x8271,f56(x8271,x8272,x8273),x8273)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(834,plain, % 1.23/1.26 (P13(x8341,f56(x8342,x8341,x8343),f64(x8343,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(837,plain, % 1.23/1.26 (P13(x8371,f3(x8372,x8371,f64(x8373,a1)),f64(x8373,a1))), % 1.23/1.26 inference(rename_variables,[],[291])). % 1.23/1.26 cnf(840,plain, % 1.23/1.26 (P13(x8401,f56(x8402,x8401,x8403),f64(x8403,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(845,plain, % 1.23/1.26 (P13(x8451,x8451,f64(x8452,a1))), % 1.23/1.26 inference(rename_variables,[],[272])). % 1.23/1.26 cnf(848,plain, % 1.23/1.26 (P13(f4(x8481,x8482,f64(x8483,a1)),x8482,f64(x8483,a1))), % 1.23/1.26 inference(rename_variables,[],[293])). % 1.23/1.26 cnf(851,plain, % 1.23/1.26 (P13(f4(x8511,x8512,f64(x8513,a1)),x8512,f64(x8513,a1))), % 1.23/1.26 inference(rename_variables,[],[293])). % 1.23/1.26 cnf(854,plain, % 1.23/1.26 (P13(x8541,f56(x8542,x8541,x8543),f64(x8543,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(857,plain, % 1.23/1.26 (P13(x8571,f56(x8572,x8571,x8573),f64(x8573,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(860,plain, % 1.23/1.26 (P13(x8601,f56(x8602,x8601,x8603),f64(x8603,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(863,plain, % 1.23/1.26 (~P14(f46(x8631,x8632,a60,a60),f35(x8633,x8632),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(866,plain, % 1.23/1.26 (P14(f46(x8661,x8661,x8662,x8662),f2(x8662),f66(x8662,x8662))), % 1.23/1.26 inference(rename_variables,[],[313])). % 1.23/1.26 cnf(869,plain, % 1.23/1.26 (~P14(f46(x8691,x8692,a60,a60),f34(x8693,x8691),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[369])). % 1.23/1.26 cnf(872,plain, % 1.23/1.26 (P13(x8721,x8721,f64(x8722,a1))), % 1.23/1.26 inference(rename_variables,[],[272])). % 1.23/1.26 cnf(875,plain, % 1.23/1.26 (~P14(f46(x8751,x8752,a60,a60),f35(x8753,x8752),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(878,plain, % 1.23/1.26 (P13(x8781,f56(x8782,x8781,x8783),f64(x8783,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(881,plain, % 1.23/1.26 (~P14(f46(x8811,x8812,a60,a60),f35(x8813,x8812),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(884,plain, % 1.23/1.26 (P13(x8841,x8841,f64(x8842,a1))), % 1.23/1.26 inference(rename_variables,[],[272])). % 1.23/1.26 cnf(887,plain, % 1.23/1.26 (~P14(f46(x8871,x8872,a60,a60),f35(x8873,x8872),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(892,plain, % 1.23/1.26 (~P14(f46(x8921,x8922,a60,a60),f34(x8923,x8921),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[369])). % 1.23/1.26 cnf(895,plain, % 1.23/1.26 (~P14(f46(x8951,x8952,a60,a60),f35(x8953,x8952),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(901,plain, % 1.23/1.26 (~P14(f46(x9011,x9012,a60,a60),f35(x9013,x9012),f66(a60,a60))), % 1.23/1.26 inference(rename_variables,[],[370])). % 1.23/1.26 cnf(919,plain, % 1.23/1.26 (P14(x9191,f56(x9191,x9192,x9193),x9193)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(922,plain, % 1.23/1.26 (P14(x9221,f56(x9221,x9222,x9223),x9223)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(925,plain, % 1.23/1.26 (P14(x9251,f56(x9251,x9252,x9253),x9253)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(928,plain, % 1.23/1.26 (P14(x9281,f56(x9281,x9282,x9283),x9283)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(931,plain, % 1.23/1.26 (P13(x9311,f56(x9312,x9311,x9313),f64(x9313,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(938,plain, % 1.23/1.26 (P14(x9381,f56(x9381,x9382,x9383),x9383)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(939,plain, % 1.23/1.26 (P14(f46(x9391,x9391,x9392,x9392),f52(x9393,x9392),f66(x9392,x9392))), % 1.23/1.26 inference(rename_variables,[],[315])). % 1.23/1.26 cnf(946,plain, % 1.23/1.26 (P14(x9461,f56(x9461,x9462,x9463),x9463)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(949,plain, % 1.23/1.26 (P13(f4(x9491,x9492,f64(x9493,a1)),x9492,f64(x9493,a1))), % 1.23/1.26 inference(rename_variables,[],[293])). % 1.23/1.26 cnf(954,plain, % 1.23/1.26 (E(f59(f52(x9541,x9542),x9541,x9542,x9542,x9542),f59(x9541,f52(x9541,x9542),x9542,x9542,x9542))), % 1.23/1.26 inference(rename_variables,[],[346])). % 1.23/1.26 cnf(955,plain, % 1.23/1.26 (E(f59(f59(x9551,x9552,x9553,x9554,x9555),x9556,x9553,x9555,x9557),f59(x9551,f59(x9552,x9556,x9554,x9555,x9557),x9553,x9554,x9557))), % 1.23/1.26 inference(rename_variables,[],[364])). % 1.23/1.26 cnf(957,plain, % 1.23/1.26 (P14(x9571,f56(x9571,x9572,x9573),x9573)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(959,plain, % 1.23/1.26 (P14(x9591,f56(x9591,x9592,x9593),x9593)), % 1.23/1.26 inference(rename_variables,[],[284])). % 1.23/1.26 cnf(962,plain, % 1.23/1.26 (P13(x9621,x9621,f64(x9622,a1))), % 1.23/1.26 inference(rename_variables,[],[272])). % 1.23/1.26 cnf(974,plain, % 1.23/1.26 (P13(x9741,f56(x9742,x9741,x9743),f64(x9743,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(977,plain, % 1.23/1.26 (P13(x9771,f56(x9772,x9771,x9773),f64(x9773,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(983,plain, % 1.23/1.26 (P13(x9831,x9831,f64(x9832,a1))), % 1.23/1.26 inference(rename_variables,[],[272])). % 1.23/1.26 cnf(986,plain, % 1.23/1.26 (P13(x9861,f56(x9862,x9861,x9863),f64(x9863,a1))), % 1.23/1.26 inference(rename_variables,[],[287])). % 1.23/1.26 cnf(990,plain, % 1.23/1.26 (P13(x9901,x9901,f64(x9902,a1))), % 1.23/1.26 inference(rename_variables,[],[272])). % 1.23/1.26 cnf(1006,plain, % 1.23/1.26 (~E(a68,a67)), % 1.23/1.26 inference(scs_inference,[],[368,284,820,827,919,922,925,928,938,946,957,959,346,954,364,955,276,307,278,367,269,313,866,315,939,287,812,834,840,854,857,860,878,931,974,977,986,272,845,872,884,962,983,990,370,815,823,863,875,881,887,895,901,263,264,369,869,892,291,837,293,848,851,949,259,347,309,295,390,394,508,509,527,610,674,713,792,2,616,373,489,519,533,545,550,554,562,563,564,565,574,588,630,701,712,714,717,718,761,769,770,772,773,795,796,626,250,473,548,549,608,609,622,623,624,625,629,645,646,722,723,759,776,777,3,232,233,234,546,600,703,707,436,458,507,617,654,771,223,224,225,226,229,230,235])). % 1.23/1.26 cnf(1069,plain, % 1.23/1.26 (~P14(f46(a68,a67,a60,a60),x10691,f66(a60,a60))+~P14(x10691,a5,f64(f66(a60,a60),a1))), % 1.23/1.26 inference(scs_inference,[],[368,626])). % 1.23/1.26 cnf(1072,plain, % 1.23/1.26 ($false), % 1.23/1.26 inference(scs_inference,[],[807,1006,1069,585]), % 1.23/1.26 ['proof']). % 1.23/1.26 % SZS output end Proof % 1.23/1.26 % Total time :0.420000s %------------------------------------------------------------------------------