%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWV879-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n018.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 16:48:47 EDT 2024 % Result : Unsatisfiable 2.19s 2.12s % Output : CNFRefutation 2.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV879-1 : TPTP v8.2.0. Released v4.1.0. % 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n018.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 20 15:53:09 EDT 2024 % 0.12/0.34 % CPUTime : % 0.21/0.56 start to proof:theBenchmark % 1.94/2.07 %------------------------------------------- % 1.94/2.07 % File :CSE---1.7 % 1.94/2.07 % Problem :theBenchmark % 1.94/2.07 % Transform :cnf % 1.94/2.07 % Format :tptp:raw % 1.94/2.07 % Command :java -jar mcs_scs.jar %d %s % 1.94/2.07 % 1.94/2.07 % Result :Theorem 1.150000s % 1.94/2.07 % Output :CNFRefutation 1.150000s % 1.94/2.07 %------------------------------------------- % 1.94/2.07 %------------------------------------------------------------------------------ % 1.94/2.07 % File : SWV879-1 : TPTP v8.2.0. Released v4.1.0. % 1.94/2.07 % Domain : Software Verification % 1.94/2.07 % Problem : Hoare logic with procedures 373_1 % 1.94/2.07 % Version : Especial. % 1.94/2.07 % English : Completeness is taken relative to completeness of the underlying % 1.94/2.07 % logic. Two versions of completeness proof: nested single recursion % 1.94/2.07 % and simultaneous recursion in call rule. % 1.94/2.07 % 1.94/2.07 % Refs : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.94/2.07 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.94/2.07 % Source : [Nip10] % 1.94/2.07 % Names : Hoare-373_1 [Nip10] % 1.94/2.07 % 1.94/2.07 % Status : Unsatisfiable % 1.94/2.07 % Rating : 0.15 v8.2.0, 0.19 v8.1.0, 0.16 v7.5.0, 0.21 v7.4.0, 0.29 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.4.0, 0.33 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.43 v6.0.0, 0.40 v5.5.0, 0.70 v5.3.0, 0.72 v5.2.0, 0.62 v5.1.0, 0.59 v5.0.0, 0.64 v4.1.0 % 1.94/2.07 % Syntax : Number of clauses : 913 ( 172 unt; 130 nHn; 466 RR) % 1.94/2.07 % Number of literals : 2249 ( 539 equ;1227 neg) % 1.94/2.07 % Maximal clause size : 7 ( 2 avg) % 1.94/2.07 % Maximal term depth : 9 ( 2 avg) % 1.94/2.07 % Number of predicates : 48 ( 47 usr; 0 prp; 1-9 aty) % 1.94/2.07 % Number of functors : 52 ( 52 usr; 9 con; 0-5 aty) % 1.94/2.07 % Number of variables : 3252 ( 374 sgn) % 1.94/2.07 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.94/2.07 % 1.94/2.07 % Comments : % 1.94/2.07 %------------------------------------------------------------------------------ % 1.94/2.07 cnf(cls_less__le__not__le_2,axiom, % 1.94/2.07 ( ~ class_Orderings_Opreorder(T_a) % 1.94/2.07 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.94/2.07 | c_lessequals(V_y,V_x,T_a) % 1.94/2.07 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 1.94/2.07 % 1.94/2.07 cnf(cls_ivl__disj__int_I15_J_0,axiom, % 1.94/2.07 ( ~ class_Orderings_Oorder(T_a) % 1.94/2.07 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 1.94/2.07 % 1.94/2.07 cnf(cls_Diff__Int2_0,axiom, % 1.94/2.07 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),V_B,tc_fun(T_a,tc_bool)) ). % 1.94/2.07 % 1.94/2.07 cnf(cls_Int__UNIV__right_0,axiom, % 1.94/2.07 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_A ). % 1.94/2.07 % 1.94/2.07 cnf(cls_Int__UNIV__left_0,axiom, % 1.94/2.07 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 1.94/2.07 % 1.94/2.07 cnf(cls_inf__top__left_0,axiom, % 1.94/2.07 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.94/2.07 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ). % 1.94/2.07 % 1.94/2.07 cnf(cls_inf__top__right_0,axiom, % 1.94/2.07 ( ~ class_Lattices_Obounded__lattice(T_a) % 1.94/2.07 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ). % 2.04/2.07 % 2.04/2.07 cnf(cls_Diff__Int__distrib2_0,axiom, % 2.04/2.07 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),V_C) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ). % 2.04/2.07 % 2.04/2.07 cnf(cls_Diff__Int__distrib_0,axiom, % 2.04/2.07 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_B),tc_fun(T_a,tc_bool)) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.04/2.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.04/2.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.04/2.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_inf__eq__top__eq1_0,axiom, % 2.04/2.08 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.04/2.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 2.04/2.08 | V_A = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_inf__eq__top__eq2_0,axiom, % 2.04/2.08 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.04/2.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_A),V_B) != c_Orderings_Otop__class_Otop(T_a) % 2.04/2.08 | V_B = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_not__less__less__Suc__eq_0,axiom, % 2.04/2.08 ( V_n = V_m % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 2.04/2.08 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_less__antisym_0,axiom, % 2.04/2.08 ( V_m = V_n % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 2.04/2.08 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_less__SucE_0,axiom, % 2.04/2.08 ( V_m = V_n % 2.04/2.08 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.04/2.08 | ~ class_Int_Onumber__ring(T_a) % 2.04/2.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_d)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) % 2.04/2.08 | V_c = V_d % 2.04/2.08 | V_a = V_b ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.04/2.08 | ~ class_Int_Onumber__ring(T_a) % 2.04/2.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_w),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) % 2.04/2.08 | V_y = V_z % 2.04/2.08 | V_w = V_x ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__less__iff__disj_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_sup__max_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | ~ class_Lattices_Oupper__semilattice(T_a) % 2.04/2.08 | c_Lattices_Oupper__semilattice__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_Int__left__commute_0,axiom, % 2.04/2.08 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_Int__assoc_0,axiom, % 2.04/2.08 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_inf__assoc_0,axiom, % 2.04/2.08 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.04/2.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_inf__left__commute_0,axiom, % 2.04/2.08 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.04/2.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_inf__sup__aci_I3_J_0,axiom, % 2.04/2.08 ( ~ class_Lattices_Olattice(T_a) % 2.04/2.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_inf__sup__aci_I2_J_0,axiom, % 2.04/2.08 ( ~ class_Lattices_Olattice(T_a) % 2.04/2.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_less__max__iff__disj_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__supE_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_a,V_x,T_a) % 2.04/2.08 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b),V_x,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__supE_1,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_b,V_x,T_a) % 2.04/2.08 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b),V_x,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__supI1_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b),T_a) % 2.04/2.08 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__supI2_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b),T_a) % 2.04/2.08 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_le__max__iff__disj_1,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) % 2.04/2.08 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_le__max__iff__disj_2,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) % 2.04/2.08 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_x,V_z,T_a) % 2.04/2.08 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),V_z,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_y,V_z,T_a) % 2.04/2.08 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),V_z,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__le__iff__disj_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_y,V_z,T_a) % 2.04/2.08 | c_lessequals(V_x,V_z,T_a) % 2.04/2.08 | ~ c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_setsum__Un__disjoint_0,axiom, % 2.04/2.08 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 2.04/2.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.04/2.08 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.04/2.08 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.04/2.08 | c_Finite__Set_Osetsum(V_g,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_g,V_B,T_a,T_b)) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_less__add__iff1_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a) % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_less__add__iff1_1,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_less__add__iff2_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a) % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_less__add__iff2_1,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.04/2.08 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) % 2.04/2.08 | ~ c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_nat_Oinject_0,axiom, % 2.04/2.08 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 2.04/2.08 | V_nat = V_nat_H ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_Suc__inject_0,axiom, % 2.04/2.08 ( c_Suc(V_x) != c_Suc(V_y) % 2.04/2.08 | V_x = V_y ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__infE_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_x,V_a,T_a) % 2.04/2.08 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__infE_1,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_x,V_b,T_a) % 2.04/2.08 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__infI1_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 2.04/2.08 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__infI2_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 2.04/2.08 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__le__iff__disj_1,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 2.04/2.08 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__le__iff__disj_2,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 2.04/2.08 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_x,V_y,T_a) % 2.04/2.08 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_x,V_z,T_a) % 2.04/2.08 | ~ c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_le__max__iff__disj_0,axiom, % 2.04/2.08 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.08 | c_lessequals(V_z,V_y,T_a) % 2.04/2.08 | c_lessequals(V_z,V_x,T_a) % 2.04/2.08 | ~ c_lessequals(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_class__semiring_Oadd__c_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.04/2.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 2.04/2.08 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.04/2.08 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ). % 2.04/2.08 % 2.04/2.08 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 2.04/2.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.04/2.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_fold__def_0,axiom, % 2.04/2.09 c_Finite__Set_Ofold(V_f,V_z,V_A,T_b,T_a) = c_The(c_Finite__Set_Ofold__graph(V_f,V_z,V_A,T_b,T_a),T_a) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_le__add__iff1_0,axiom, % 2.04/2.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.04/2.09 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a) % 2.04/2.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_le__add__iff1_1,axiom, % 2.04/2.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.04/2.09 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) % 2.04/2.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c),V_d,T_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_le__add__iff2_0,axiom, % 2.04/2.09 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.04/2.09 | c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a) % 2.04/2.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_psubset__eq_1,axiom, % 2.04/2.09 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_nat__less__le_1,axiom, % 2.04/2.09 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_less__not__refl_0,axiom, % 2.04/2.09 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_less__fun__def_2,axiom, % 2.04/2.09 ( ~ class_HOL_Oord(T_b) % 2.04/2.09 | c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) % 2.04/2.09 | c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 2.04/2.09 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_order__less__le_1,axiom, % 2.04/2.09 ( ~ class_Orderings_Oorder(T_a) % 2.04/2.09 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_linorder__neq__iff_1,axiom, % 2.04/2.09 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.09 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_order__less__irrefl_0,axiom, % 2.04/2.09 ( ~ class_Orderings_Opreorder(T_a) % 2.04/2.09 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_sup__inf__absorb_0,axiom, % 2.04/2.09 ( ~ class_Lattices_Olattice(T_a) % 2.04/2.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = V_x ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_min__max_Oinf__idem_0,axiom, % 2.04/2.09 ( ~ class_Orderings_Olinorder(T_a) % 2.04/2.09 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_atLeastatMost__psubset__iff_6,axiom, % 2.04/2.09 ( ~ class_Orderings_Oorder(T_a) % 2.04/2.09 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 2.04/2.09 | ~ c_lessequals(V_c,V_d,T_a) % 2.04/2.09 | ~ c_HOL_Oord__class_Oless(V_b,V_d,T_a) % 2.04/2.09 | ~ c_lessequals(V_b,V_d,T_a) % 2.04/2.09 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 2.04/2.09 % 2.04/2.09 cnf(cls_atLeastatMost__psubset__iff_5,axiom, % 2.04/2.09 ( ~ class_Orderings_Oorder(T_a) % 2.04/2.09 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 2.04/2.09 | ~ c_lessequals(V_c,V_d,T_a) % 2.04/2.09 | ~ c_HOL_Oord__class_Oless(V_c,V_a,T_a) % 2.04/2.09 | ~ c_lessequals(V_b,V_d,T_a) % 2.04/2.09 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 2.04/2.09 % 2.06/2.09 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 2.06/2.09 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.09 | V_x = V_y ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.09 | V_x = V_y % 2.06/2.09 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_le__antisym_0,axiom, % 2.06/2.09 ( V_m = V_n % 2.06/2.09 | ~ c_lessequals(V_n,V_m,tc_nat) % 2.06/2.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_nat__neq__iff_0,axiom, % 2.06/2.09 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.06/2.09 | V_m = V_n ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_nat__less__cases_0,axiom, % 2.06/2.09 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 2.06/2.09 | V_m = V_n % 2.06/2.09 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_linorder__neqE__nat_0,axiom, % 2.06/2.09 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 2.06/2.09 | V_x = V_y ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_linorder__neqE_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.09 | V_x = V_y ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_linorder__less__linear_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.06/2.09 | V_x = V_y % 2.06/2.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_linorder__antisym__conv3_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.09 | V_x = V_y % 2.06/2.09 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_min__max_Osup__idem_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.09 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__strict__mono_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__sup__absorb_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olattice(T_a) % 2.06/2.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = V_x ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_less__infI2_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_less__infI1_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_termination__basic__simps_I5_J_0,axiom, % 2.06/2.09 ( c_lessequals(V_x,V_y,tc_nat) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_psubset__eq_0,axiom, % 2.06/2.09 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_nat__less__le_0,axiom, % 2.06/2.09 ( c_lessequals(V_m,V_n,tc_nat) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_less__fun__def_0,axiom, % 2.06/2.09 ( ~ class_HOL_Oord(T_b) % 2.06/2.09 | c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_order__le__less_1,axiom, % 2.06/2.09 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.09 | c_lessequals(V_x,V_y,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_order__less__imp__le_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Opreorder(T_a) % 2.06/2.09 | c_lessequals(V_x,V_y,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_setsum__Un_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 2.06/2.09 | c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b)),c_Finite__Set_Osetsum(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b),T_b) % 2.06/2.09 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.06/2.09 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_lessI_0,axiom, % 2.06/2.09 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_less__Suc__eq_2,axiom, % 2.06/2.09 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_less__trans__Suc_0,axiom, % 2.06/2.09 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__le__cancel__right_1,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 2.06/2.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__le__cancel__right_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_lessequals(V_a,V_b,T_a) % 2.06/2.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__le__cancel__left_1,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 2.06/2.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__le__cancel__left_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_lessequals(V_a,V_b,T_a) % 2.06/2.09 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__right__mono_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 2.06/2.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__left__mono_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 2.06/2.09 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_mult__left__idem_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.06/2.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__sup__ord_I1_J_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olattice(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__sup__ord_I2_J_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olattice(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__greatest_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 2.06/2.09 | ~ c_lessequals(V_x,V_z,T_a) % 2.06/2.09 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_le__inf__iff_2,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) % 2.06/2.09 | ~ c_lessequals(V_x,V_z,T_a) % 2.06/2.09 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_le__infI_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) % 2.06/2.09 | ~ c_lessequals(V_x,V_b,T_a) % 2.06/2.09 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__le2_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_y,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__le1_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y),V_x,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Int__lower1_0,axiom, % 2.06/2.09 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_A,tc_fun(T_a,tc_bool)) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Int__lower2_0,axiom, % 2.06/2.09 c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_B,tc_fun(T_a,tc_bool)) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Int__greatest_0,axiom, % 2.06/2.09 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) % 2.06/2.09 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.09 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Int__subset__iff_2,axiom, % 2.06/2.09 ( c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) % 2.06/2.09 | ~ c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.09 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Suc__leD_0,axiom, % 2.06/2.09 ( c_lessequals(V_m,V_n,tc_nat) % 2.06/2.09 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_le__SucI_0,axiom, % 2.06/2.09 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 2.06/2.09 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_sup__inf__distrib2_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.06/2.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_z),V_x)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_sup__inf__distrib1_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.06/2.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Un__Int__distrib_0,axiom, % 2.06/2.09 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Un__Int__distrib2_0,axiom, % 2.06/2.09 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Suc__n__not__le__n_0,axiom, % 2.06/2.09 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__sup__aci_I4_J_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olattice(T_a) % 2.06/2.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__left__idem_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Int__left__absorb_0,axiom, % 2.06/2.09 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Suc__n__not__n_0,axiom, % 2.06/2.09 c_Suc(V_n) != V_n ). % 2.06/2.09 % 2.06/2.09 cnf(cls_n__not__Suc__n_0,axiom, % 2.06/2.09 V_n != c_Suc(V_n) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__idem_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_x) = V_x ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_Int__absorb_0,axiom, % 2.06/2.09 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 2.06/2.09 % 2.06/2.09 cnf(cls_ivl__disj__int_I16_J_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__strict__right__mono_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__less__cancel__right_1,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__less__cancel__right_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__strict__left__mono_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__less__cancel__left_1,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_add__less__cancel__left_0,axiom, % 2.06/2.09 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_inf__fun__eq_0,axiom, % 2.06/2.09 ( ~ class_Lattices_Olattice(T_b) % 2.06/2.09 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_xt1_I7_J_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.06/2.09 | ~ c_lessequals(V_z,V_y,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_xt1_I8_J_0,axiom, % 2.06/2.09 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.09 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.06/2.09 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_le__refl_0,axiom, % 2.06/2.09 c_lessequals(V_n,V_n,tc_nat) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_le__trans_0,axiom, % 2.06/2.09 ( c_lessequals(V_i,V_k,tc_nat) % 2.06/2.09 | ~ c_lessequals(V_j,V_k,tc_nat) % 2.06/2.09 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_eq__imp__le_0,axiom, % 2.06/2.09 c_lessequals(V_x,V_x,tc_nat) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_psubset__subset__trans_0,axiom, % 2.06/2.09 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 2.06/2.09 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.06/2.09 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.09 % 2.06/2.09 cnf(cls_subset__psubset__trans_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__le__less__trans_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Opreorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__less__le__trans_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Opreorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.06/2.10 | ~ c_lessequals(V_y,V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__add__right__mono_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.06/2.10 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 2.06/2.10 | ~ c_lessequals(V_c,V_d,T_a) % 2.06/2.10 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_atLeastLessThan__empty__iff_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_atLeastLessThan__empty__iff_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_greaterThanAtMost__empty__iff2_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_greaterThanAtMost__empty__iff2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__mono_0,axiom, % 2.06/2.10 ( c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__Diff_0,axiom, % 2.06/2.10 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_mult__idem_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__less__Suc__eq_0,axiom, % 2.06/2.10 ( V_n = V_m % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 2.06/2.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Suc__lessD_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__SucI_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_inf1I_0,axiom, % 2.06/2.10 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 2.06/2.10 | ~ hBOOL(hAPP(V_B,V_x)) % 2.06/2.10 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)),T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__eqI_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.06/2.10 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__eqI_1,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.06/2.10 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__add__iff2_1,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d),T_a) % 2.06/2.10 | ~ c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d),T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__eq__inf__sup_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__eq__Suc__le_1,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 2.06/2.10 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__eq__Suc__le_0,axiom, % 2.06/2.10 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Suc__le__eq_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.06/2.10 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Suc__leI_0,axiom, % 2.06/2.10 ( c_lessequals(c_Suc(V_m),V_n,tc_nat) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_psubset__card__mono_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__maxI2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(V_y,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__maxI1_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__supI_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b),V_x,T_a) % 2.06/2.10 | ~ c_lessequals(V_b,V_x,T_a) % 2.06/2.10 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Osup__least_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z),V_x,T_a) % 2.06/2.10 | ~ c_lessequals(V_z,V_x,T_a) % 2.06/2.10 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),V_z,T_a) % 2.06/2.10 | ~ c_lessequals(V_y,V_z,T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_eq__add__iff1_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Oring(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c) = V_d ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_eq__add__iff2_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Oring(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) % 2.06/2.10 | V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_eq__add__iff2_1,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Oring(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_b,V_a,T_a)),V_e)),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_d) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_setsum__Un__Int_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_g,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)),c_Finite__Set_Osetsum(V_g,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),c_Finite__Set_Osetsum(V_g,V_A,T_a,T_b)),c_Finite__Set_Osetsum(V_g,V_B,T_a,T_b)) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__le1_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__le2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__infI_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_b,T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_z,T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__greatest_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z),T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_z,T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_eq__add__iff1_1,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Oring(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_e)),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__diff__distrib__left_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.06/2.10 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_HOL_Ominus__class_Ominus(V_x,V_z,T_a)),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_max__less__iff__conj_2,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_greaterThanAtMost__empty__iff_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_greaterThanAtMost__empty__iff_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_k,V_l,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__less__iff__conj_2,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.06/2.10 | ~ class_Int_Onumber__ring(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_d)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.06/2.10 | ~ class_Int_Onumber__ring(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__atLeastLessThan_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a)) = c_SetInterval_Oord__class_OatLeastLessThan(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_d),T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_ivl__disj__int_I11_J_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_diff__add__cancel_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__mono_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 2.06/2.10 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 2.06/2.10 | ~ c_lessequals(V_c,V_d,T_a) % 2.06/2.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__Un__distrib2_0,axiom, % 2.06/2.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__Un__distrib_0,axiom, % 2.06/2.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_inf__sup__distrib1_0,axiom, % 2.06/2.10 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_inf__sup__distrib2_0,axiom, % 2.06/2.10 ( ~ class_Lattices_Odistrib__lattice(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_z),V_x)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__Suc__eq__le_1,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 2.06/2.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__Suc__eq__le_0,axiom, % 2.06/2.10 ( c_lessequals(V_m,V_n,tc_nat) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__less__Suc__eq_1,axiom, % 2.06/2.10 ( ~ c_lessequals(V_x,V_x,tc_nat) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Omul__c_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_x) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__sup__distrib__left_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__sup__distrib__right_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add__join(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I4_J_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I3_J_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_inf__Inf__fold__inf_0,axiom, % 2.06/2.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_B),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_B,V_A,T_a,T_a) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__less__trans_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Opreorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_psubset__trans_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_A,V_C,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_xt1_I10_J_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) != V_y % 2.06/2.10 | c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Osup__absorb1_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x % 2.06/2.10 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Oadd__a_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__cancel__21_1,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__cancel__21_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_inf__min_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.10 | c_Lattices_Olower__semilattice__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) != V_x % 2.06/2.10 | c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y % 2.06/2.10 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_max__diff__distrib__left_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.06/2.10 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),V_z,T_a) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_HOL_Ominus__class_Ominus(V_x,V_z,T_a)),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_not__leE_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.10 | c_lessequals(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__antisym__conv2_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_x,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__antisym__conv1_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 2.06/2.10 | c_lessequals(V_x,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__not__less_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.10 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__not__less_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_lessequals(V_y,V_x,T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__not__le_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__not__le_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.06/2.10 | c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__fun__def_1,axiom, % 2.06/2.10 ( ~ class_HOL_Oord(T_b) % 2.06/2.10 | ~ c_lessequals(V_g,V_f,tc_fun(T_a,T_b)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__le__not__le_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Opreorder(T_a) % 2.06/2.10 | ~ c_lessequals(V_y,V_x,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__inf__distrib__left_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_add__inf__distrib__right_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add__meet(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b),V_c)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__assoc_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__absorb2_0,axiom, % 2.06/2.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 2.06/2.10 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__absorb1_0,axiom, % 2.06/2.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 2.06/2.10 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__iff__inf_0,axiom, % 2.06/2.10 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_x % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__iff__inf_1,axiom, % 2.06/2.10 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) != V_x % 2.06/2.10 | c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_inf__absorb2_0,axiom, % 2.06/2.10 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = V_y % 2.06/2.10 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oless__supI1_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b),T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Oless__supI2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b),T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__max__iff__disj_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_less__max__iff__disj_2,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_max__less__iff__conj_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),V_z,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_max__less__iff__conj_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y),V_z,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__commute_0,axiom, % 2.06/2.10 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_inf__commute_0,axiom, % 2.06/2.10 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_xt1_I11_J_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.06/2.10 | V_a = V_b % 2.06/2.10 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_xt1_I12_J_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.06/2.10 | ~ c_lessequals(V_b,V_a,T_a) % 2.06/2.10 | V_a = V_b ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_psubset__eq_2,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.10 | V_A = V_B % 2.06/2.10 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_nat__less__le_2,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.06/2.10 | V_m = V_n % 2.06/2.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__eq__less__or__eq_0,axiom, % 2.06/2.10 ( V_m = V_n % 2.06/2.10 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.06/2.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_le__neq__implies__less_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.06/2.10 | V_m = V_n % 2.06/2.10 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__le__less_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | V_x = V_y % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__less__le_2,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.10 | V_x = V_y % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_subset__iff__psubset__eq_0,axiom, % 2.06/2.10 ( V_A = V_B % 2.06/2.10 | c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__le__neq__trans_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.06/2.10 | V_a = V_b % 2.06/2.10 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__neq__le__trans_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.06/2.10 | ~ c_lessequals(V_a,V_b,T_a) % 2.06/2.10 | V_a = V_b ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__antisym__conv1_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | V_x = V_y % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_linorder__antisym__conv2_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | V_x = V_y % 2.06/2.10 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.10 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__greaterThanAtMost_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_c,V_d,T_a)) = c_SetInterval_Oord__class_OgreaterThanAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_d),T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Suc__le__mono_0,axiom, % 2.06/2.10 ( c_lessequals(V_n,V_m,tc_nat) % 2.06/2.10 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Suc__le__mono_1,axiom, % 2.06/2.10 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 2.06/2.10 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Omul__a_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),V_z) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_class__semiring_Omul__d_0,axiom, % 2.06/2.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_xt1_I9_J_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 2.06/2.10 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_nat__le__linear_0,axiom, % 2.06/2.10 ( c_lessequals(V_n,V_m,tc_nat) % 2.06/2.10 | c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__less__asym_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Opreorder(T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_order__less__asym_H_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Opreorder(T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_setsum__insert_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 2.06/2.10 | c_Finite__Set_Osetsum(V_f,c_Set_Oinsert(V_a,V_F,T_a),T_a,T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(V_f,V_a)),c_Finite__Set_Osetsum(V_f,V_F,T_a,T_b)) % 2.06/2.10 | hBOOL(c_in(V_a,V_F,T_a)) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_card__psubset_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat) % 2.06/2.10 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_fold1__eq__fold__idem_0,axiom, % 2.06/2.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.06/2.10 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_a,V_A,T_a)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(T_a),V_a,V_A,T_a,T_a) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Inf__fold__inf_0,axiom, % 2.06/2.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.06/2.10 | c_Complete__Lattice_OInf__class_OInf(V_A,T_a) = c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a),V_A,T_a,T_a) % 2.06/2.10 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_disjoint__iff__not__equal_0,axiom, % 2.06/2.10 ( ~ hBOOL(c_in(V_x,V_B,T_a)) % 2.06/2.10 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.06/2.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_greaterThanAtMost__empty_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_SetInterval_Oord__class_OgreaterThanAtMost(V_k,V_l,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_lessequals(V_l,V_k,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_atLeastLessThan__empty_0,axiom, % 2.06/2.10 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.10 | c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_fold__graph_OinsertI_0,axiom, % 2.06/2.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_z,c_Set_Oinsert(V_x,V_A,T_a),T_a,T_b),hAPP(hAPP(V_f,V_x),V_y))) % 2.06/2.10 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_z,V_A,T_a,T_b),V_y)) % 2.06/2.10 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__insert__left_1,axiom, % 2.06/2.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C) % 2.06/2.10 | hBOOL(c_in(V_a,V_C,T_a)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__insert__right_1,axiom, % 2.06/2.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) % 2.06/2.10 | hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_psubset__insert__iff_0,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ hBOOL(c_in(V_x,V_B,T_a)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_psubset__insert__iff_6,axiom, % 2.06/2.10 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.06/2.10 | ~ hBOOL(c_in(V_x,V_B,T_a)) % 2.06/2.10 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.10 % 2.06/2.10 cnf(cls_Int__insert__left_0,axiom, % 2.06/2.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) % 2.06/2.11 | ~ hBOOL(c_in(V_a,V_C,T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Int__insert__right_0,axiom, % 2.06/2.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) % 2.06/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_distrib__inf__le_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.06/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_distrib__sup__le_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.06/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastLessThan__subset__iff_1,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_lessequals(V_b,V_d,T_a) % 2.06/2.11 | c_lessequals(V_b,V_a,T_a) % 2.06/2.11 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastLessThan__subset__iff_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_lessequals(V_c,V_a,T_a) % 2.06/2.11 | c_lessequals(V_b,V_a,T_a) % 2.06/2.11 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Int__Collect_0,axiom, % 2.06/2.11 ( hBOOL(c_in(V_x,V_A,T_a)) % 2.06/2.11 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Int__Collect_1,axiom, % 2.06/2.11 ( hBOOL(hAPP(V_P,V_x)) % 2.06/2.11 | ~ hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Int__Collect_2,axiom, % 2.06/2.11 ( hBOOL(c_in(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Collect(V_P,T_a)),T_a)) % 2.06/2.11 | ~ hBOOL(hAPP(V_P,V_x)) % 2.06/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastatMost__psubset__iff_1,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_lessequals(V_b,V_d,T_a) % 2.06/2.11 | ~ c_lessequals(V_a,V_b,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastatMost__psubset__iff_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_lessequals(V_c,V_a,T_a) % 2.06/2.11 | ~ c_lessequals(V_a,V_b,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastatMost__psubset__iff_3,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_lessequals(V_c,V_d,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastatMost__psubset__iff_4,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_lessequals(V_c,V_d,T_a) % 2.06/2.11 | c_lessequals(V_a,V_b,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_ivl__disj__un_I20_J_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a) % 2.06/2.11 | ~ c_lessequals(V_m,V_u,T_a) % 2.06/2.11 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_ivl__disj__un_I17_J_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastLessThan(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a) % 2.06/2.11 | ~ c_lessequals(V_m,V_u,T_a) % 2.06/2.11 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_comm__monoid__add_Ofold__graph__permute__diff_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.06/2.11 | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_a,c_Set_Oinsert(V_b,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),T_a,T_a),V_x)) % 2.06/2.11 | hBOOL(c_in(V_b,V_A,T_a)) % 2.06/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.06/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_b,V_A,T_a,T_a),V_x)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold__graph__permute__diff_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.06/2.11 | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_a,c_Set_Oinsert(V_b,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),T_a,T_a),V_x)) % 2.06/2.11 | hBOOL(c_in(V_b,V_A,T_a)) % 2.06/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.06/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_b,V_A,T_a,T_a),V_x)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_ivl__diff_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Ominus__class_Ominus(c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_m,T_a),c_SetInterval_Oord__class_OatLeastLessThan(V_i,V_n,T_a),tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_n,V_m,T_a) % 2.06/2.11 | ~ c_lessequals(V_i,V_n,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastatMost__empty_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_strict__below__fold1__iff_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_x,V_xa,T_a) % 2.06/2.11 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_x,hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A),T_a) % 2.06/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold1__strict__below__iff_2,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A),V_x,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_xa,V_x,T_a) % 2.06/2.11 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 2.06/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold1__eq__fold_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.06/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_a,V_A,T_a)) = c_Finite__Set_Ofold(c_HOL_Otimes__class_Otimes(T_a),V_a,V_A,T_a,T_a) % 2.06/2.11 | hBOOL(c_in(V_a,V_A,T_a)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_comm__monoid__add_Ofold1__eq__fold_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.06/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),c_Set_Oinsert(V_a,V_A,T_a)) = c_Finite__Set_Ofold(c_HOL_Oplus__class_Oplus(T_a),V_a,V_A,T_a,T_a) % 2.06/2.11 | hBOOL(c_in(V_a,V_A,T_a)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_image__Int__subset_0,axiom, % 2.06/2.11 c_lessequals(c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)),tc_fun(T_a,tc_bool)) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Un__Int__assoc__eq_0,axiom, % 2.06/2.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) != hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.06/2.11 | c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Un__Int__assoc__eq_1,axiom, % 2.06/2.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) % 2.06/2.11 | ~ c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Diff__disjoint_0,axiom, % 2.06/2.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Diff__triv_0,axiom, % 2.06/2.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) = V_A ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_comm__monoid__add_Ofold1__Un_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.06/2.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.06/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.06/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),V_A)),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),V_B)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold1__Un_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.06/2.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.06/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.06/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_B)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Un__Diff__Int_0,axiom, % 2.06/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)) = V_A ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Diff__Un_0,axiom, % 2.06/2.11 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Diff__Int_0,axiom, % 2.06/2.11 c_HOL_Ominus__class_Ominus(V_A,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_bij__def_0,axiom, % 2.06/2.11 ( c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 2.06/2.11 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_finite__vimage__iff_0,axiom, % 2.06/2.11 ( c_Finite__Set_Ofinite(V_F,T_b) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a) % 2.06/2.11 | ~ c_Fun_Obij(V_h,T_a,T_b) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_finite__vimage__iff_1,axiom, % 2.06/2.11 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_a,T_b),T_a) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_F,T_b) % 2.06/2.11 | ~ c_Fun_Obij(V_h,T_a,T_b) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_complete__lattice_Osup__Sup__fold__sup_0,axiom, % 2.06/2.11 ( hAPP(hAPP(V_sup,V_B),hAPP(V_Sup,V_A)) = c_Finite__Set_Ofold(V_sup,V_B,V_A,T_a,T_a) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.06/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_complete__lattice_Oinf__Inf__fold__inf_0,axiom, % 2.06/2.11 ( hAPP(hAPP(V_inf,V_B),hAPP(V_Inf,V_A)) = c_Finite__Set_Ofold(V_inf,V_B,V_A,T_a,T_a) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.06/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_complete__lattice_OSup__fold__sup_0,axiom, % 2.06/2.11 ( hAPP(V_Sup,V_A) = c_Finite__Set_Ofold(V_sup,V_bot,V_A,T_a,T_a) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.06/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_complete__lattice_OInf__fold__inf_0,axiom, % 2.06/2.11 ( hAPP(V_Inf,V_A) = c_Finite__Set_Ofold(V_inf,V_top,V_A,T_a,T_a) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.06/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Inf__insert_0,axiom, % 2.06/2.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.06/2.11 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,V_A,T_a),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Complete__Lattice_OInf__class_OInf(V_A,T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_inv__inv__eq_0,axiom, % 2.06/2.11 ( c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a) = V_f % 2.06/2.11 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_bij__imp__bij__inv_0,axiom, % 2.06/2.11 ( c_Fun_Obij(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),T_b,T_a) % 2.06/2.11 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Max__def__raw_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_Finite__Set_Olinorder__class_OMax(T_a) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omax(T_a),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_linorder__class_OMin__def__raw_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_Finite__Set_Olinorder__class_OMin(T_a) = c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_card__insert__if_1,axiom, % 2.06/2.11 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(V_A,T_a)) % 2.06/2.11 | hBOOL(c_in(V_x,V_A,T_a)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_card__Suc__eq_5,axiom, % 2.06/2.11 ( hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) % 2.06/2.11 | c_Finite__Set_Ocard(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Suc(c_Finite__Set_Ocard(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_psubset__insert__iff_1,axiom, % 2.06/2.11 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.06/2.11 | hBOOL(c_in(V_x,V_B,T_a)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_psubset__insert__iff_4,axiom, % 2.06/2.11 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 2.06/2.11 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_psubset__insert__iff_8,axiom, % 2.06/2.11 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Diff1__fold__graph_0,axiom, % 2.06/2.11 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_z,V_A,T_a,T_b),hAPP(hAPP(V_f,V_x),V_y))) % 2.06/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.06/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_z,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),V_y)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold1__belowI_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a),V_A),V_a,T_a) % 2.06/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_setsum__diff_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 2.06/2.11 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),c_Finite__Set_Osetsum(V_f,V_B,T_a,T_b),T_b) % 2.06/2.11 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Sup__fold__sup_0,axiom, % 2.06/2.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.06/2.11 | c_Complete__Lattice_OSup__class_OSup(V_A,T_a) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a),V_A,T_a,T_a) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_psubset__insert__iff_9,axiom, % 2.06/2.11 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold1__insert__idem_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.06/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.06/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold1__Un2_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 2.06/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A)),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_B)) % 2.06/2.11 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.06/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_inf__sup__aci_I1_J_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.06/2.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_x) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Oinf__commute_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_combine__common__factor_0,axiom, % 2.06/2.11 ( ~ class_Ring__and__Field_Osemiring(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Un__Int__crazy_0,axiom, % 2.06/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_C),V_A)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C))),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_A)) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Oless__infI1_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Oless__infI2_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b),V_x,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__less__iff__conj_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__less__iff__conj_1,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_z,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__less__iff__disj_1,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__less__iff__disj_2,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y),V_z,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Int__atLeastAtMost_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_d),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Suc__lessI_0,axiom, % 2.06/2.11 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 2.06/2.11 | c_Suc(V_m) = V_n % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_not__less__eq__eq_1,axiom, % 2.06/2.11 ( ~ c_lessequals(V_m,V_n,tc_nat) % 2.06/2.11 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_not__less__eq__eq_0,axiom, % 2.06/2.11 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 2.06/2.11 | c_lessequals(V_m,V_n,tc_nat) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 2.06/2.11 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.06/2.11 | ~ class_Int_Onumber__ring(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) % 2.06/2.11 | V_y = V_z ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_add__imp__eq_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 2.06/2.11 | V_b = V_c ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_add__left__cancel_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 2.06/2.11 | V_b = V_c ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_add__right__cancel_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) % 2.06/2.11 | V_b = V_c ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__add__distrib__left_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Int__subset__iff_1,axiom, % 2.06/2.11 ( c_lessequals(V_C,V_B,tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_Int__subset__iff_0,axiom, % 2.06/2.11 ( c_lessequals(V_C,V_A,tc_fun(T_a,tc_bool)) % 2.06/2.11 | ~ c_lessequals(V_C,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__infE_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(V_x,V_a,T_a) % 2.06/2.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__infE_1,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(V_x,V_b,T_a) % 2.06/2.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__infI1_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 2.06/2.11 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__infI2_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),V_x,T_a) % 2.06/2.11 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__inf__iff_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(V_x,V_y,T_a) % 2.06/2.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__inf__iff_1,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(V_x,V_z,T_a) % 2.06/2.11 | ~ c_lessequals(V_x,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_y),V_z),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_ivl__disj__int_I14_J_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_fold__inf__le__inf_0,axiom, % 2.06/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.06/2.11 | c_lessequals(c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,V_A,T_a,T_a),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b),T_a) % 2.06/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.06/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 2.06/2.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Osup__commute_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastLessThan__empty__iff2_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastLessThan__empty__iff2_1,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastLessThan(V_a,V_b,T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__Suc__eq_2,axiom, % 2.06/2.11 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_atLeastatMost__psubset__iff_2,axiom, % 2.06/2.11 ( ~ class_Orderings_Oorder(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_b,V_d,T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_c,V_a,T_a) % 2.06/2.11 | ~ c_lessequals(V_a,V_b,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | c_lessequals(hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 2.06/2.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_c),V_b),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 2.06/2.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_c),T_a) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_le__SucE_0,axiom, % 2.06/2.11 ( V_m = c_Suc(V_n) % 2.06/2.11 | c_lessequals(V_m,V_n,tc_nat) % 2.06/2.11 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_not__less__less__Suc__eq_1,axiom, % 2.06/2.11 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_not__less__eq_1,axiom, % 2.06/2.11 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.06/2.11 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_not__less__eq_0,axiom, % 2.06/2.11 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 2.06/2.11 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_max__add__distrib__left_0,axiom, % 2.06/2.11 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.06/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Osup__assoc_0,axiom, % 2.06/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.06/2.11 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ). % 2.06/2.11 % 2.06/2.11 cnf(cls_min__max_Osup__left__commute_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf1E_1,axiom, % 2.15/2.11 ( hBOOL(hAPP(V_B,V_x)) % 2.15/2.11 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf1E_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(V_A,V_x)) % 2.15/2.11 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 2.15/2.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.15/2.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_min__max_Osup__left__idem_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_add__diff__cancel_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.15/2.11 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_less__supI1_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_less__supI2_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_add__le__less__mono_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.15/2.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 2.15/2.11 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_add__less__le__mono_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.15/2.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 2.15/2.11 | ~ c_lessequals(V_c,V_d,T_a) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimage__Int_0,axiom, % 2.15/2.11 c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Suc__less__eq_0,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Suc__mono_0,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Int__iff_2,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_IntI_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_psubsetD_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_IntE_1,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_IntE_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold__graph__insert__swap_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.15/2.11 | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_z,c_Set_Oinsert(V_b,V_A,T_a),T_a,T_a),hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_z),V_y))) % 2.15/2.11 | hBOOL(c_in(V_b,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Otimes__class_Otimes(T_a),V_b,V_A,T_a,T_a),V_y)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_comm__monoid__add_Ofold__graph__insert__swap_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.15/2.11 | hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_z,c_Set_Oinsert(V_b,V_A,T_a),T_a,T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_z),V_y))) % 2.15/2.11 | hBOOL(c_in(V_b,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(c_HOL_Oplus__class_Oplus(T_a),V_b,V_A,T_a,T_a),V_y)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold__graph__imp__finite_0,axiom, % 2.15/2.11 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_z,V_A,T_a,T_b),V_x)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_finite__Int_1,axiom, % 2.15/2.11 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_G,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_finite__Int_0,axiom, % 2.15/2.11 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__bot__left_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__bot__right_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold__empty_0,axiom, % 2.15/2.11 c_Finite__Set_Ofold(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = V_z ). % 2.15/2.11 % 2.15/2.11 cnf(cls_not__psubset__empty_0,axiom, % 2.15/2.11 ~ c_HOL_Oord__class_Oless(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_empty__fold__graphE_0,axiom, % 2.15/2.11 ( V_x = V_z % 2.15/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b),V_x)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Int__empty__right_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Int__empty__left_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold__graph_OemptyI_0,axiom, % 2.15/2.11 hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_z,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b),V_z)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold__inf__insert_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.15/2.11 | c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),c_Finite__Set_Ofold(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_b,V_A,T_a,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_insert__inter__insert_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_A,T_a)),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_setsum__diff1_H_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_b) % 2.15/2.11 | c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_b),hAPP(V_f,V_a)),c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_psubset__insert__iff_7,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_psubset__insert__iff_3,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_psubset__insert__iff_2,axiom, % 2.15/2.11 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | hBOOL(c_in(V_x,V_B,T_a)) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold__sup__insert_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,V_A,T_a,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ivl__disj__un_I21_J_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_m,T_a)),c_SetInterval_Oord__class_OatLeastAtMost(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 2.15/2.11 | ~ c_lessequals(V_m,V_u,T_a) % 2.15/2.11 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ivl__disj__un_I22_J_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_m,T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_m,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 2.15/2.11 | ~ c_lessequals(V_m,V_u,T_a) % 2.15/2.11 | ~ c_lessequals(V_l,V_m,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__insert__le_0,axiom, % 2.15/2.11 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a),tc_nat) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__seteq_0,axiom, % 2.15/2.11 ( V_A = V_B % 2.15/2.11 | ~ c_lessequals(c_Finite__Set_Ocard(V_B,T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__mono_0,axiom, % 2.15/2.11 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_a),tc_nat) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__image__le_0,axiom, % 2.15/2.11 ( c_lessequals(c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b),c_Finite__Set_Ocard(V_A,T_a),tc_nat) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__Sup__fold__sup_0,axiom, % 2.15/2.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_B),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)) = c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_B,V_A,T_a,T_a) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__image__Int_0,axiom, % 2.15/2.11 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 2.15/2.11 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_image__Int_0,axiom, % 2.15/2.11 ( c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,V_A,T_a,T_b)),c_Set_Oimage(V_f,V_B,T_a,T_b)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Inf__binary_0,axiom, % 2.15/2.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.11 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(T_a),V_a),V_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimage__subset__eq_1,axiom, % 2.15/2.11 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimage__subset__eq_0,axiom, % 2.15/2.11 ( c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_image__vimage__eq_0,axiom, % 2.15/2.11 c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold1Set_Ointros_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a),V_x)) % 2.15/2.11 | hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_f,V_a,V_A,T_a,T_a),V_x)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ab__semigroup__mult_Ofold__graph__insert__swap_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times,V_z,c_Set_Oinsert(V_b,V_A,T_a),T_a,T_a),hAPP(hAPP(V_times,V_z),V_y))) % 2.15/2.11 | hBOOL(c_in(V_b,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times,V_b,V_A,T_a,T_a),V_y)) % 2.15/2.11 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__le__fold__sup_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),c_Finite__Set_Ofold(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_b,V_A,T_a,T_a),T_a) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Max__insert_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A)) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Min__insert_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A)) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Min__Un_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A)),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_B)) % 2.15/2.11 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Max__Un_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A)),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_B)) % 2.15/2.11 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_bij__vimage__eq__inv__image_0,axiom, % 2.15/2.11 ( c_Set_Ovimage(V_f,V_A,T_a,T_b) = c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),V_A,T_b,T_a) % 2.15/2.11 | ~ c_Fun_Obij(V_f,T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_setsum__diff1_1,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 2.15/2.11 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b) % 2.15/2.11 | hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold1__below__iff_2,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A),V_x,T_a) % 2.15/2.11 | ~ c_lessequals(V_xa,V_x,T_a) % 2.15/2.11 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_below__fold1__iff_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olower__semilattice(T_a) % 2.15/2.11 | c_lessequals(V_x,V_xa,T_a) % 2.15/2.11 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 2.15/2.11 | ~ c_lessequals(V_x,hAPP(c_Finite__Set_Ofold1(c_Lattices_Olower__semilattice__class_Oinf(T_a),T_a),V_A),T_a) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ivl__disj__un_I5_J_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_l,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(V_l,V_u,T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 2.15/2.11 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ivl__disj__un_I6_J_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_SetInterval_Oord__class_OatLeastLessThan(V_l,V_u,T_a)),c_Set_Oinsert(V_u,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = c_SetInterval_Oord__class_OatLeastAtMost(V_l,V_u,T_a) % 2.15/2.11 | ~ c_lessequals(V_l,V_u,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_psubset__insert__iff_5,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold1__insert_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 2.15/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_HOL_Otimes__class_Otimes(T_a),T_a),V_A)) % 2.15/2.11 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_comm__monoid__add_Ofold1__insert_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.15/2.11 | hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(c_Finite__Set_Ofold1(c_HOL_Oplus__class_Oplus(T_a),T_a),V_A)) % 2.15/2.11 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold1__antimono_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | c_lessequals(hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_B),hAPP(c_Finite__Set_Ofold1(c_Orderings_Oord__class_Omin(T_a),T_a),V_A),T_a) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__insert_0,axiom, % 2.15/2.11 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__Diff1__le_0,axiom, % 2.15/2.11 ( c_lessequals(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__inj__on__le_0,axiom, % 2.15/2.11 ( c_lessequals(c_Finite__Set_Ocard(V_A,T_a),c_Finite__Set_Ocard(V_B,T_b),tc_nat) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_b) % 2.15/2.11 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__Un_2,axiom, % 2.15/2.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__Un_3,axiom, % 2.15/2.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_b,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool)),T_a,T_b)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.11 | c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ab__semigroup__mult_Ofold__graph__permute__diff_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times,V_a,c_Set_Oinsert(V_b,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),T_a,T_a),V_x)) % 2.15/2.11 | hBOOL(c_in(V_b,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(V_times,V_b,V_A,T_a,T_a),V_x)) % 2.15/2.11 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ab__semigroup__mult_Ofold1__eq__fold_0,axiom, % 2.15/2.11 ( hAPP(c_Finite__Set_Ofold1(V_times,T_a),c_Set_Oinsert(V_a,V_A,T_a)) = c_Finite__Set_Ofold(V_times,V_a,V_A,T_a,T_a) % 2.15/2.11 | hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.11 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_ab__semigroup__mult_Ofold1__Un_0,axiom, % 2.15/2.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.11 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) % 2.15/2.11 | hAPP(c_Finite__Set_Ofold1(V_times,T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(V_times,hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_A)),hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_B)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_setsum__diff1_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Oab__group__add(T_b) % 2.15/2.11 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_setsum__diff1__ring_0,axiom, % 2.15/2.11 ( ~ class_Ring__and__Field_Oring(T_b) % 2.15/2.11 | c_Finite__Set_Osetsum(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Finite__Set_Osetsum(V_f,V_A,T_a,T_b),hAPP(V_f,V_a),T_b) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__Diff2__less_0,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_y,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat) % 2.15/2.11 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__Diff1__less_0,axiom, % 2.15/2.11 ( c_HOL_Oord__class_Oless(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a),c_Finite__Set_Ocard(V_A,T_a),tc_nat) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__Suc__Diff1_0,axiom, % 2.15/2.11 ( c_Suc(c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a)) = c_Finite__Set_Ocard(V_A,T_a) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_DiffE_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_DiffE_1,axiom, % 2.15/2.11 ( ~ hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_UNIV__I_0,axiom, % 2.15/2.11 hBOOL(c_in(V_x,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_UnE_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | hBOOL(c_in(V_c,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_UnCI_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_B,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_UnCI_1,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_set__mp_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_x,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_subsetD_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_set__rev__mp_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_x,V_B,T_a)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_subset__iff_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_t,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_t,V_A,T_a)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_le__funD_0,axiom, % 2.15/2.11 ( ~ class_HOL_Oord(T_b) % 2.15/2.11 | c_lessequals(hAPP(V_f,V_x),hAPP(V_g,V_x),T_b) % 2.15/2.11 | ~ c_lessequals(V_f,V_g,tc_fun(T_a,T_b)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Diff__subset__conv_0,axiom, % 2.15/2.11 ( c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Diff__subset__conv_1,axiom, % 2.15/2.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_C,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Sup__UNIV_0,axiom, % 2.15/2.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.11 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimage__subsetI_0,axiom, % 2.15/2.11 ( c_lessequals(c_Set_Ovimage(V_f,V_B,T_a,T_b),V_A,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__Un_0,axiom, % 2.15/2.11 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__Un_1,axiom, % 2.15/2.11 ( c_Fun_Oinj__on(V_f,V_B,T_a,T_b) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fun__upd__idem__iff_0,axiom, % 2.15/2.11 ( c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b) != V_f % 2.15/2.11 | hAPP(V_f,V_x) = V_y ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimage__Un_0,axiom, % 2.15/2.11 c_Set_Ovimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,V_A,T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_image__inv__f__f_0,axiom, % 2.15/2.11 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b,T_a) = V_A % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inv__image__comp_0,axiom, % 2.15/2.11 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),c_Set_Oimage(V_f,V_X,T_a,T_b),T_b,T_a) = V_X % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__sup__aci_I8_J_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__left__idem_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__left__absorb_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__sup__aci_I5_J_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__commute_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_x) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__commute_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__Diff_0,axiom, % 2.15/2.11 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_A,V_C,tc_fun(T_a,tc_bool))),c_HOL_Ominus__class_Ominus(V_B,V_C,tc_fun(T_a,tc_bool))) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fun__diff__def_0,axiom, % 2.15/2.11 ( ~ class_HOL_Ominus(T_b) % 2.15/2.11 | hAPP(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(t_a,T_b)),v_x) = c_HOL_Ominus__class_Ominus(hAPP(V_A,v_x),hAPP(V_B,v_x),T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__Diff__cancel_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__Diff__cancel2_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))),V_A) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_A) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_card__eq__UNIV__imp__eq__UNIV_0,axiom, % 2.15/2.11 ( c_Finite__Set_Ocard(V_A,T_a) != c_Finite__Set_Ocard(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) % 2.15/2.11 | V_A = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimage__mono_0,axiom, % 2.15/2.11 ( c_lessequals(c_Set_Ovimage(V_f,V_A,T_b,T_a),c_Set_Ovimage(V_f,V_B,T_b,T_a),tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_SUP__const_0,axiom, % 2.15/2.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 2.15/2.11 | c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,c_COMBK(V_M,T_b,T_a),T_a,T_b) = V_M % 2.15/2.11 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_image__set__diff_0,axiom, % 2.15/2.11 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Diff__subset_0,axiom, % 2.15/2.11 c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Diff__partition_0,axiom, % 2.15/2.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_HOL_Ominus__class_Ominus(V_B,V_A,tc_fun(T_a,tc_bool))) = V_B % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__sup__ord_I3_J_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.15/2.11 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__sup__ord_I4_J_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.15/2.11 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_le__sup__iff_2,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) % 2.15/2.11 | ~ c_lessequals(V_y,V_z,T_a) % 2.15/2.11 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__least_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z),V_x,T_a) % 2.15/2.11 | ~ c_lessequals(V_z,V_x,T_a) % 2.15/2.11 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__ge2_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_lessequals(V_y,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__ge1_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_le__supI_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) % 2.15/2.11 | ~ c_lessequals(V_b,V_x,T_a) % 2.15/2.11 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__least_0,axiom, % 2.15/2.11 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__upper1_0,axiom, % 2.15/2.11 c_lessequals(V_A,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__upper2_0,axiom, % 2.15/2.11 c_lessequals(V_B,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__subset__iff_2,axiom, % 2.15/2.11 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__sup__aci_I6_J_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inf__sup__aci_I7_J_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__left__commute_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_z)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__assoc_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_y),V_z)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__assoc_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B)),V_C) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__left__commute_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_C)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_image__diff__subset_0,axiom, % 2.15/2.11 c_lessequals(c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_b,T_a),c_Set_Oimage(V_f,V_B,T_b,T_a),tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_b,T_a),tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Max__mono_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_M),hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_N),T_a) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 2.15/2.11 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_eq__eqI_0,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.15/2.11 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.15/2.11 | V_x_H = V_y_H ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_eq__eqI_1,axiom, % 2.15/2.11 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.15/2.11 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 2.15/2.11 | V_xa = V_y ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Diff__idemp_0,axiom, % 2.15/2.11 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_COMBK__def_0,axiom, % 2.15/2.11 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 2.15/2.11 % 2.15/2.11 cnf(cls_INT__extend__simps_I4_J_0,axiom, % 2.15/2.11 c_HOL_Ominus__class_Ominus(V_A,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__idem_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.11 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_x) = V_x ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Un__absorb_0,axiom, % 2.15/2.11 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_A) = V_A ). % 2.15/2.11 % 2.15/2.11 cnf(cls_finite__vimageI_0,axiom, % 2.15/2.11 ( c_Finite__Set_Ofinite(c_Set_Ovimage(V_h,V_F,T_b,T_a),T_b) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_h,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inv__into__image__cancel_0,axiom, % 2.15/2.11 ( c_Set_Oimage(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),c_Set_Oimage(V_f,V_S,T_a,T_b),T_b,T_a) = V_S % 2.15/2.11 | ~ c_lessequals(V_S,V_A,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_sup__fun__eq_0,axiom, % 2.15/2.11 ( ~ class_Lattices_Olattice(T_b) % 2.15/2.11 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,T_b)),V_f),V_g),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_b),hAPP(V_f,v_x)),hAPP(V_g,v_x)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__image__subset__iff_0,axiom, % 2.15/2.11 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ 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)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__image__subset__iff_1,axiom, % 2.15/2.11 ( 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)) % 2.15/2.11 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_fold1__def_0,axiom, % 2.15/2.11 hAPP(c_Finite__Set_Ofold1(V_f,T_a),V_A) = c_The(c_Finite__Set_Ofold1Set(V_f,V_A,T_a),T_a) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_le__SUPI_0,axiom, % 2.15/2.11 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_b) % 2.15/2.11 | c_lessequals(hAPP(V_M,V_i),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_a,T_b),T_b) % 2.15/2.11 | ~ hBOOL(c_in(V_i,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_UN__upper_0,axiom, % 2.15/2.11 ( c_lessequals(hAPP(V_B,V_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),tc_fun(T_b,tc_bool)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_complete__lattice_OSup__UNIV_0,axiom, % 2.15/2.11 ( hAPP(V_Sup,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_top % 2.15/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_complete__lattice_OInf__UNIV_0,axiom, % 2.15/2.11 ( hAPP(V_Inf,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = V_bot % 2.15/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__contraD_0,axiom, % 2.15/2.11 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.15/2.11 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | V_x = V_y % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__iff_0,axiom, % 2.15/2.11 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.15/2.11 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.11 | V_x = V_y ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__on__def_0,axiom, % 2.15/2.11 ( hAPP(V_f,V_x) != hAPP(V_f,V_xa) % 2.15/2.11 | ~ hBOOL(c_in(V_xa,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.11 | V_x = V_xa ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_inj__onD_0,axiom, % 2.15/2.11 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.15/2.11 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.11 | V_x = V_y % 2.15/2.11 | ~ hBOOL(c_in(V_y,V_A,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_CollectI_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) % 2.15/2.11 | ~ hBOOL(hAPP(V_P,V_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_CollectD_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(V_P,V_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,c_Collect(V_P,T_a),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Diff__iff_2,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 2.15/2.11 | hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_DiffI_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_c,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a)) % 2.15/2.11 | hBOOL(c_in(V_c,V_B,T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_c,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_UN__iff_2,axiom, % 2.15/2.11 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)),T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_x),T_a)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_UN__I_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_b,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b)) % 2.15/2.11 | ~ hBOOL(c_in(V_b,hAPP(V_B,V_a),T_b)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimage__eq_1,axiom, % 2.15/2.11 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) % 2.15/2.11 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimageI2_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b)) % 2.15/2.11 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimageI_0,axiom, % 2.15/2.11 ( hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_b,T_a),T_b)) % 2.15/2.11 | ~ hBOOL(c_in(hAPP(V_f,V_a),V_B,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimageE_0,axiom, % 2.15/2.11 ( hBOOL(c_in(hAPP(V_f,V_a),V_B,T_b)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_B,T_a,T_b),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_vimageD_0,axiom, % 2.15/2.11 ( hBOOL(c_in(hAPP(V_f,V_a),V_A,T_b)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,V_A,T_a,T_b),T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_complete__lattice_OInf__lower_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(hAPP(V_less__eq,hAPP(V_Inf,V_A)),V_x)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_complete__lattice_OSup__upper_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(hAPP(V_less__eq,V_x),hAPP(V_Sup,V_A))) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_SUP1__iff_2,axiom, % 2.15/2.11 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 2.15/2.11 | ~ hBOOL(hAPP(hAPP(V_B,V_x),V_b)) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_SUP1__I_0,axiom, % 2.15/2.11 ( hBOOL(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),V_b)) % 2.15/2.11 | ~ hBOOL(hAPP(hAPP(V_B,V_a),V_b)) % 2.15/2.11 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Max__ge_0,axiom, % 2.15/2.11 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.11 | c_lessequals(V_x,hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A),T_a) % 2.15/2.11 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.11 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.11 % 2.15/2.11 cnf(cls_Min__le_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.12 | c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A),V_x,T_a) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__const_1,axiom, % 2.15/2.12 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | hBOOL(c_in(V_c,V_A,T_b)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_rev__finite__subset_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__subset_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_B,T_a) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__UNIV_0,axiom, % 2.15/2.12 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 2.15/2.12 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Un_1,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(V_G,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Un_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(V_F,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__UnI_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Un_2,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_F),V_G),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_G,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Diff2_1,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Diff2_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_B,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Diff_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup__bot__left_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup__bot__right_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_bot__least_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Obot(T_a) % 2.15/2.12 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup__eq__bot__eq1_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 2.15/2.12 | V_A = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup__eq__bot__eq2_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_A),V_B) != c_Orderings_Obot__class_Obot(T_a) % 2.15/2.12 | V_B = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__fun__updI_0,axiom, % 2.15/2.12 ( c_Fun_Oinj__on(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_A,T_a,T_b) % 2.15/2.12 | hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__image__mem__iff_1,axiom, % 2.15/2.12 ( hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.15/2.12 | ~ hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__image__mem__iff_0,axiom, % 2.15/2.12 ( hBOOL(c_in(V_a,V_A,T_a)) % 2.15/2.12 | ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__empty_0,axiom, % 2.15/2.12 c_Set_Ovimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__empty_2,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OInf__empty_0,axiom, % 2.15/2.12 ( hAPP(V_Inf,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_top % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OSup__empty_0,axiom, % 2.15/2.12 ( hAPP(V_Sup,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_bot % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_empty__Collect__eq_0,axiom, % 2.15/2.12 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Collect(V_P,T_a) % 2.15/2.12 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__empty_1,axiom, % 2.15/2.12 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__empty_0,axiom, % 2.15/2.12 ( V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Collect__empty__eq_0,axiom, % 2.15/2.12 ( c_Collect(V_P,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_empty__fold1SetE_0,axiom, % 2.15/2.12 ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_x)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UNIV__not__empty_0,axiom, % 2.15/2.12 c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_empty__Diff_0,axiom, % 2.15/2.12 c_HOL_Ominus__class_Ominus(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__empty__right_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))) = V_A ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__empty__left_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool))),V_B) = V_B ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Diff__cancel_0,axiom, % 2.15/2.12 c_HOL_Ominus__class_Ominus(V_A,V_A,tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Diff__empty_0,axiom, % 2.15/2.12 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A ). % 2.15/2.12 % 2.15/2.12 cnf(cls_empty__subsetI_0,axiom, % 2.15/2.12 c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__empty_0,axiom, % 2.15/2.12 c_Fun_Oinj__on(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a,T_b) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__empty_1,axiom, % 2.15/2.12 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | V_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__empty_0,axiom, % 2.15/2.12 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__insert_0,axiom, % 2.15/2.12 c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_a,T_b) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Ovimage(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b)),c_Set_Ovimage(V_f,V_B,T_a,T_b)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Sup__binary_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insert__iff_4,axiom, % 2.15/2.12 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__iff__eq__card_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_eq__card__imp__inj__on_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) != c_Finite__Set_Ocard(V_A,T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.12 | c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_endo__inj__surj_0,axiom, % 2.15/2.12 ( c_Set_Oimage(V_f,V_A,T_a,T_a) = V_A % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 2.15/2.12 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_a),V_A,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__surj__inj_0,axiom, % 2.15/2.12 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_a) % 2.15/2.12 | ~ c_lessequals(V_A,c_Set_Oimage(V_f,V_A,T_a,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_insert__mono_0,axiom, % 2.15/2.12 ( 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)) % 2.15/2.12 | ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OInf__insert_0,axiom, % 2.15/2.12 ( hAPP(V_Inf,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_inf,V_a),hAPP(V_Inf,V_A)) % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OSup__insert_0,axiom, % 2.15/2.12 ( hAPP(V_Sup,c_Set_Oinsert(V_a,V_A,T_a)) = hAPP(hAPP(V_sup,V_a),hAPP(V_Sup,V_A)) % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insertI_0,axiom, % 2.15/2.12 c_lessequals(V_B,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__insert__right_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Set_Oinsert(V_a,V_B,T_a)) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__insert__left_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,V_B,T_a)),V_C) = c_Set_Oinsert(V_a,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_B),V_C),T_a) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insertI2_0,axiom, % 2.15/2.12 ( c_lessequals(V_A,c_Set_Oinsert(V_b,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_insert__subset_1,axiom, % 2.15/2.12 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__insert_0,axiom, % 2.15/2.12 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__Un_0,axiom, % 2.15/2.12 c_Set_Oimage(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),T_b,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oimage(V_f,V_A,T_b,T_a)),c_Set_Oimage(V_f,V_B,T_b,T_a)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__image__iff_2,axiom, % 2.15/2.12 ( ~ c_lessequals(V_x,V_A,tc_fun(T_b,tc_bool)) % 2.15/2.12 | 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)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__mono_0,axiom, % 2.15/2.12 ( 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)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__cong_1,axiom, % 2.15/2.12 ( hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b)) != hAPP(V_g,c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b)) % 2.15/2.12 | c_Set_Oimage(V_f,V_x,T_a,T_b) = c_Set_Oimage(V_g,V_x,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_assms_I1_J_0,axiom, % 2.15/2.12 ( hBOOL(hAPP(hAPP(v_P,V_G),V_ts)) % 2.15/2.12 | ~ c_lessequals(V_ts,V_G,tc_fun(t_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_diff__single__insert_0,axiom, % 2.15/2.12 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insert__iff_3,axiom, % 2.15/2.12 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insert__iff_0,axiom, % 2.15/2.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__UN_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(hAPP(V_B,V_x),T_b) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_a,tc_fun(T_b,tc_bool)),T_b) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UNION__empty__conv_I1_J_0,axiom, % 2.15/2.12 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) % 2.15/2.12 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UNION__empty__conv_I2_J_0,axiom, % 2.15/2.12 ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | hAPP(V_B,V_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_insert__subset_2,axiom, % 2.15/2.12 ( c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_insert__Diff1_0,axiom, % 2.15/2.12 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_insert__subset_0,axiom, % 2.15/2.12 ( hBOOL(c_in(V_x,V_B,T_a)) % 2.15/2.12 | ~ c_lessequals(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insert__iff_2,axiom, % 2.15/2.12 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insert__iff_1,axiom, % 2.15/2.12 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insert_1,axiom, % 2.15/2.12 ( c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__insert_0,axiom, % 2.15/2.12 ( c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,V_B,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_insert__Diff__if_1,axiom, % 2.15/2.12 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),V_B,tc_fun(T_a,tc_bool)) = c_Set_Oinsert(V_x,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 2.15/2.12 | hBOOL(c_in(V_x,V_B,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_card__Diff__singleton__if_1,axiom, % 2.15/2.12 ( c_Finite__Set_Ocard(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Finite__Set_Ocard(V_A,T_a) % 2.15/2.12 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_ab__semigroup__mult_Ofold1__insert_0,axiom, % 2.15/2.12 ( hAPP(c_Finite__Set_Ofold1(V_times,T_a),c_Set_Oinsert(V_x,V_A,T_a)) = hAPP(hAPP(V_times,V_x),hAPP(c_Finite__Set_Ofold1(V_times,T_a),V_A)) % 2.15/2.12 | hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Sup__empty_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_Complete__Lattice_OSup__class_OSup(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_imageE_0,axiom, % 2.15/2.12 ( V_b = hAPP(V_f,c_ATP__Linkup_Osko__Set__XimageE__1__1(V_A,V_b,V_f,T_b,T_a)) % 2.15/2.12 | ~ hBOOL(c_in(V_b,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__image_1,axiom, % 2.15/2.12 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oimage(V_f,V_A,T_b,T_a) % 2.15/2.12 | hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__iff_0,axiom, % 2.15/2.12 ( hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(V_A,V_f,V_z,T_b,T_a),V_A,T_b)) % 2.15/2.12 | ~ hBOOL(c_in(V_z,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__diff_0,axiom, % 2.15/2.12 ( c_Fun_Oinj__on(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__Diff_0,axiom, % 2.15/2.12 c_Set_Ovimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_b,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Ovimage(V_f,V_A,T_a,T_b),c_Set_Ovimage(V_f,V_B,T_a,T_b),tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__vimage__subset_0,axiom, % 2.15/2.12 c_lessequals(c_Set_Oimage(V_f,c_Set_Ovimage(V_f,V_A,T_b,T_a),T_b,T_a),V_A,tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__vimage__image__eq_0,axiom, % 2.15/2.12 ( c_Set_Ovimage(V_f,c_Set_Oimage(V_f,V_A,T_a,T_b),T_a,T_b) = V_A % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Collect__def_0,axiom, % 2.15/2.12 c_Collect(V_P,T_a) = V_P ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__UNIV_0,axiom, % 2.15/2.12 c_Set_Ovimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Sup__insert_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,V_A,T_a),T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),c_Complete__Lattice_OSup__class_OSup(V_A,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup__top__right_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup__top__left_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Obounded__lattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__UNIV__left_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))),V_B) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__UNIV__right_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__Un__image__eq__iff_0,axiom, % 2.15/2.12 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),T_a,T_b) % 2.15/2.12 | V_A = V_B ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inv__into__f__f_0,axiom, % 2.15/2.12 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inv__into__f__eq_0,axiom, % 2.15/2.12 ( ~ hBOOL(c_in(V_x,V_A,T_aa)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_aa,T_a) % 2.15/2.12 | hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UN__subset__iff_0,axiom, % 2.15/2.12 ( c_lessequals(hAPP(V_A,V_x),V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_I,T_b)) % 2.15/2.12 | ~ c_lessequals(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_b,tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UN__absorb_0,axiom, % 2.15/2.12 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),hAPP(V_A,V_k)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool))) = c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_I,V_A,T_a,tc_fun(T_b,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_k,V_I,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__subset__iff_3,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_b,V_d,T_a) % 2.15/2.12 | ~ c_lessequals(V_c,V_a,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__subset__iff_1,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_lessequals(V_b,V_d,T_a) % 2.15/2.12 | ~ c_lessequals(V_a,V_b,T_a) % 2.15/2.12 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__subset__iff_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_lessequals(V_c,V_a,T_a) % 2.15/2.12 | ~ c_lessequals(V_a,V_b,T_a) % 2.15/2.12 | ~ c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_ab__semigroup__mult_Omult__ac_I1_J_0,axiom, % 2.15/2.12 ( hAPP(hAPP(V_times,hAPP(hAPP(V_times,V_a),V_b)),V_c) = hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c)) % 2.15/2.12 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_ab__semigroup__mult_Omult__left__commute_0,axiom, % 2.15/2.12 ( hAPP(hAPP(V_times,V_a),hAPP(hAPP(V_times,V_b),V_c)) = hAPP(hAPP(V_times,V_b),hAPP(hAPP(V_times,V_a),V_c)) % 2.15/2.12 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_ab__semigroup__mult_Omult__commute_0,axiom, % 2.15/2.12 ( hAPP(hAPP(V_times,V_a),V_b) = hAPP(hAPP(V_times,V_b),V_a) % 2.15/2.12 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__subset__iff_2,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_lessequals(c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a),c_SetInterval_Oord__class_OatLeastAtMost(V_c,V_d,T_a),tc_fun(T_a,tc_bool)) % 2.15/2.12 | c_lessequals(V_a,V_b,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__twist_0,axiom, % 2.15/2.12 ( c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_a,V_b,T_a,T_b),V_c,V_d,T_a,T_b) = c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_m,V_c,V_d,T_a,T_b),V_a,V_b,T_a,T_b) % 2.15/2.12 | V_a = V_c ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_injD_0,axiom, % 2.15/2.12 ( hAPP(V_f,V_x) != hAPP(V_f,V_y) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 2.15/2.12 | V_x = V_y ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup1E_0,axiom, % 2.15/2.12 ( hBOOL(hAPP(V_B,V_x)) % 2.15/2.12 | hBOOL(hAPP(V_A,V_x)) % 2.15/2.12 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup1CI_0,axiom, % 2.15/2.12 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 2.15/2.12 | ~ hBOOL(hAPP(V_B,V_x)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup1CI_1,axiom, % 2.15/2.12 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_x)) % 2.15/2.12 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UN__extend__simps_I2_J_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_A,T_b,tc_fun(T_a,tc_bool))),V_B) = V_B ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UN__extend__simps_I3_J_0,axiom, % 2.15/2.12 hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool))) = V_A ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__image__eq__iff_0,axiom, % 2.15/2.12 ( c_Set_Oimage(V_f,V_A,T_a,T_b) != c_Set_Oimage(V_f,V_B,T_a,T_b) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) % 2.15/2.12 | V_A = V_B ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__inv__into_0,axiom, % 2.15/2.12 ( c_Fun_Oinj__on(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_B,T_a,T_b) % 2.15/2.12 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_b,T_a),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__upd_0,axiom, % 2.15/2.12 c_Fun_Ofun__upd(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_x,V_z,T_a,T_b) = c_Fun_Ofun__upd(V_f,V_x,V_z,T_a,T_b) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Diff__mono_0,axiom, % 2.15/2.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_HOL_Ominus__class_Ominus(V_C,V_D,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_D,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Inf__UNIV_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_Complete__Lattice_OInf__class_OInf(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Obot__class_Obot(T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_top1I_0,axiom, % 2.15/2.12 hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_x)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_top__fun__eq_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Otop(T_b) % 2.15/2.12 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,T_b)),v_x) = c_Orderings_Otop__class_Otop(T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_equalityI_0,axiom, % 2.15/2.12 ( V_A = V_B % 2.15/2.12 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_set__eq__subset_2,axiom, % 2.15/2.12 ( V_A = V_B % 2.15/2.12 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_order__eq__iff_2,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | V_x = V_y % 2.15/2.12 | ~ c_lessequals(V_y,V_x,T_a) % 2.15/2.12 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_order__antisym_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | V_x = V_y % 2.15/2.12 | ~ c_lessequals(V_y,V_x,T_a) % 2.15/2.12 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_order__antisym__conv_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | V_x = V_y % 2.15/2.12 | ~ c_lessequals(V_x,V_y,T_a) % 2.15/2.12 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_sup__absorb1_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_x % 2.15/2.12 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__iff__sup_1,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) != V_y % 2.15/2.12 | c_lessequals(V_x,V_y,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__iff__sup_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y) = V_y % 2.15/2.12 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__absorb1_0,axiom, % 2.15/2.12 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_B % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__absorb2_0,axiom, % 2.15/2.12 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) = V_A % 2.15/2.12 | ~ c_lessequals(V_B,V_A,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__Un__eq_1,axiom, % 2.15/2.12 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B) != V_B % 2.15/2.12 | c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Min__antimono_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.12 | c_lessequals(hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_N),hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_M),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_N,T_a) % 2.15/2.12 | V_M = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_M,V_N,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UN__insert_0,axiom, % 2.15/2.12 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Set_Oinsert(V_a,V_A,T_b),V_B,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),hAPP(V_B,V_a)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_B,T_b,tc_fun(T_a,tc_bool))) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__idem_0,axiom, % 2.15/2.12 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_b,T_a) = V_f ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__same_0,axiom, % 2.15/2.12 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_x) = V_y ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__triv_0,axiom, % 2.15/2.12 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_a,T_b) = V_f ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__apply_0,axiom, % 2.15/2.12 hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_aa),V_x) = V_y ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__idem__iff_1,axiom, % 2.15/2.12 c_Fun_Ofun__upd(V_f,V_x,hAPP(V_f,V_x),T_aa,T_a) = V_f ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Inf__lower_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_lessequals(c_Complete__Lattice_OInf__class_OInf(V_A,T_a),V_x,T_a) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_card__bij__eq_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ocard(V_A,T_a) = c_Finite__Set_Ocard(V_B,T_b) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_B,T_b) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) % 2.15/2.12 | ~ c_lessequals(c_Set_Oimage(V_g,V_B,T_b,T_a),V_A,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_g,V_B,T_b,T_a) % 2.15/2.12 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_a,T_b),V_B,tc_fun(T_b,tc_bool)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__empty__iff2_1,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 2.15/2.12 | c_lessequals(V_a,V_b,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__empty__iff2_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) % 2.15/2.12 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Diff__UNIV_0,axiom, % 2.15/2.12 c_HOL_Ominus__class_Ominus(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__mono_0,axiom, % 2.15/2.12 ( c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_C),V_D),tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_B,V_D,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__UNIV_0,axiom, % 2.15/2.12 c_lessequals(V_A,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_top__greatest_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Otop(T_a) % 2.15/2.12 | c_lessequals(V_x,c_Orderings_Otop__class_Otop(T_a),T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Inf__empty_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_Complete__Lattice_OInf__class_OInf(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) = c_Orderings_Otop__class_Otop(T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__sup__iff_1,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | c_lessequals(V_y,V_z,T_a) % 2.15/2.12 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__sup__iff_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | c_lessequals(V_x,V_z,T_a) % 2.15/2.12 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_x),V_y),V_z,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__supI2_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a) % 2.15/2.12 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__supI1_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | c_lessequals(V_x,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),T_a) % 2.15/2.12 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__supE_1,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | c_lessequals(V_b,V_x,T_a) % 2.15/2.12 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__supE_0,axiom, % 2.15/2.12 ( ~ class_Lattices_Oupper__semilattice(T_a) % 2.15/2.12 | c_lessequals(V_a,V_x,T_a) % 2.15/2.12 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(T_a),V_a),V_b),V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__subset__iff_0,axiom, % 2.15/2.12 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Un__subset__iff_1,axiom, % 2.15/2.12 ( c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),V_A),V_B),V_C,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_xt1_I6_J_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_lessequals(V_z,V_x,T_a) % 2.15/2.12 | ~ c_lessequals(V_z,V_y,T_a) % 2.15/2.12 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_order__trans_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Opreorder(T_a) % 2.15/2.12 | c_lessequals(V_x,V_z,T_a) % 2.15/2.12 | ~ c_lessequals(V_y,V_z,T_a) % 2.15/2.12 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_equalityE_0,axiom, % 2.15/2.12 c_lessequals(V_x,V_x,tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__refl_0,axiom, % 2.15/2.12 c_lessequals(V_A,V_A,tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__trans_0,axiom, % 2.15/2.12 ( c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__inj__on_0,axiom, % 2.15/2.12 ( c_Fun_Oinj__on(V_f,V_A,T_a,T_b) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_B,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_predicate1D_0,axiom, % 2.15/2.12 ( hBOOL(hAPP(V_Q,V_x)) % 2.15/2.12 | ~ hBOOL(hAPP(V_P,V_x)) % 2.15/2.12 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_order__eq__iff_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_lessequals(V_x,V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_order__eq__refl_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Opreorder(T_a) % 2.15/2.12 | c_lessequals(V_x,V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_rev__predicate1D_0,axiom, % 2.15/2.12 ( hBOOL(hAPP(V_Q,V_x)) % 2.15/2.12 | ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(hAPP(V_P,V_x)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inv__f__f_0,axiom, % 2.15/2.12 ( hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),V_f,T_a,T_b),hAPP(V_f,V_x)) = V_x % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)),T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inv__f__eq_0,axiom, % 2.15/2.12 ( ~ c_Fun_Oinj__on(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),T_aa,T_a) % 2.15/2.12 | hAPP(c_Hilbert__Choice_Oinv__into(c_Orderings_Otop__class_Otop(tc_fun(T_aa,tc_bool)),V_f,T_aa,T_a),hAPP(V_f,V_x)) = V_x ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__empty__iff_1,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | c_lessequals(V_a,V_b,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_atLeastatMost__empty__iff_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.15/2.12 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__image__set__diff_0,axiom, % 2.15/2.12 ( c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a,T_b) = c_HOL_Ominus__class_Ominus(c_Set_Oimage(V_f,V_A,T_a,T_b),c_Set_Oimage(V_f,V_B,T_a,T_b),tc_fun(T_b,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_C,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UN__Un_0,axiom, % 2.15/2.12 c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_b,tc_bool)),V_A),V_B),V_M,T_b,tc_fun(T_a,tc_bool)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_A,V_M,T_b,tc_fun(T_a,tc_bool))),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(V_B,V_M,T_b,tc_fun(T_a,tc_bool))) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__code_0,axiom, % 2.15/2.12 ( hBOOL(hAPP(V_A,hAPP(V_f,V_x))) % 2.15/2.12 | ~ hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__code_1,axiom, % 2.15/2.12 ( hBOOL(hAPP(c_Set_Ovimage(V_f,V_A,T_a,T_b),V_x)) % 2.15/2.12 | ~ hBOOL(hAPP(V_A,hAPP(V_f,V_x))) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_the__sym__eq__trivial_0,axiom, % 2.15/2.12 c_The(c_fequal(V_x,T_a),T_a) = V_x ). % 2.15/2.12 % 2.15/2.12 cnf(cls_card__image_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ocard(c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Finite__Set_Ocard(V_A,T_a) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__apply_1,axiom, % 2.15/2.12 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_z) = hAPP(V_f,V_z) % 2.15/2.12 | V_z = V_x ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__other_0,axiom, % 2.15/2.12 ( hAPP(c_Fun_Ofun__upd(V_f,V_x,V_y,T_a,T_b),V_z) = hAPP(V_f,V_z) % 2.15/2.12 | V_z = V_x ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_vimage__const_0,axiom, % 2.15/2.12 ( c_Set_Ovimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ hBOOL(c_in(V_c,V_A,T_b)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_double__diff_0,axiom, % 2.15/2.12 ( c_HOL_Ominus__class_Ominus(V_B,c_HOL_Ominus__class_Ominus(V_C,V_A,tc_fun(T_a,tc_bool)),tc_fun(T_a,tc_bool)) = V_A % 2.15/2.12 | ~ c_lessequals(V_B,V_C,tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__eqI_0,axiom, % 2.15/2.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.15/2.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.15/2.12 | c_lessequals(V_y_H,V_x_H,T_a) % 2.15/2.12 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_le__eqI_1,axiom, % 2.15/2.12 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.15/2.12 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.15/2.12 | c_lessequals(V_y,V_x,T_a) % 2.15/2.12 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Sup__upper_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_lessequals(V_x,c_Complete__Lattice_OSup__class_OSup(V_A,T_a),T_a) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_linorder__linear_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.12 | c_lessequals(V_y,V_x,T_a) % 2.15/2.12 | c_lessequals(V_x,V_y,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_f__inv__into__f_0,axiom, % 2.15/2.12 ( hAPP(V_f,hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_y)) = V_y % 2.15/2.12 | ~ hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__cong_0,axiom, % 2.15/2.12 ( c_Set_Oimage(V_f,V_x,T_a,T_b) = c_Set_Oimage(V_g,V_x,T_a,T_b) % 2.15/2.12 | hBOOL(c_in(c_ATP__Linkup_Osko__Set__Ximage__cong__1__1(V_x,V_f,V_g,T_a,T_b),V_x,T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__iff_1,axiom, % 2.15/2.12 ( V_z = hAPP(V_f,c_ATP__Linkup_Osko__Set__Ximage__iff__1__1(V_A,V_f,V_z,T_b,T_a)) % 2.15/2.12 | ~ hBOOL(c_in(V_z,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_imageE_1,axiom, % 2.15/2.12 ( hBOOL(c_in(c_ATP__Linkup_Osko__Set__XimageE__1__1(V_A,V_b,V_f,T_b,T_a),V_A,T_b)) % 2.15/2.12 | ~ hBOOL(c_in(V_b,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_image__subset__iff_0,axiom, % 2.15/2.12 ( hBOOL(c_in(hAPP(V_f,V_x),V_B,T_a)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_b)) % 2.15/2.12 | ~ c_lessequals(c_Set_Oimage(V_f,V_A,T_b,T_a),V_B,tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inv__into__injective_0,axiom, % 2.15/2.12 ( hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_x) != hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_a,T_b),V_y) % 2.15/2.12 | V_x = V_y % 2.15/2.12 | ~ hBOOL(c_in(V_y,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inv__into__into_0,axiom, % 2.15/2.12 ( hBOOL(c_in(hAPP(c_Hilbert__Choice_Oinv__into(V_A,V_f,T_b,T_a),V_x),V_A,T_b)) % 2.15/2.12 | ~ hBOOL(c_in(V_x,c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_rangeI_0,axiom, % 2.15/2.12 hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_bool)),T_b,T_a),T_a)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fun__upd__image_0,axiom, % 2.15/2.12 ( c_Set_Oimage(c_Fun_Ofun__upd(V_f,V_x,V_y,T_b,T_a),V_A,T_b,T_a) = c_Set_Oinsert(V_y,c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),tc_fun(T_b,tc_bool)),T_b,T_a),T_a) % 2.15/2.12 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__insert_2,axiom, % 2.15/2.12 ( c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) % 2.15/2.12 | hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_inj__on__insert_1,axiom, % 2.15/2.12 ( ~ hBOOL(c_in(hAPP(V_f,V_a),c_Set_Oimage(V_f,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a,T_b),T_b)) % 2.15/2.12 | ~ c_Fun_Oinj__on(V_f,c_Set_Oinsert(V_a,V_A,T_a),T_a,T_b) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Diff__insert_1,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_finite__Diff__insert_0,axiom, % 2.15/2.12 ( c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),T_a) % 2.15/2.12 | ~ c_Finite__Set_Ofinite(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)),T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_singleton__conv2_0,axiom, % 2.15/2.12 c_Collect(c_fequal(V_a,T_a),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_subset__singletonD_0,axiom, % 2.15/2.12 ( V_A = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 2.15/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.15/2.12 | ~ c_lessequals(V_A,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OInf__singleton_0,axiom, % 2.15/2.12 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OSup__singleton_0,axiom, % 2.15/2.12 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Sup__singleton_0,axiom, % 2.15/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.15/2.12 | c_Complete__Lattice_OSup__class_OSup(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Nitpick_OEx1__def_2,axiom, % 2.15/2.12 hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a))) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_UN__extend__simps_I1_J_0,axiom, % 2.15/2.12 c_Set_Oinsert(V_a,c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),V_B,T_b,tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_fold1Set__sing_1,axiom, % 2.15/2.12 hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_x)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Min__singleton_0,axiom, % 2.15/2.12 ( ~ class_Orderings_Olinorder(T_a) % 2.15/2.12 | hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Nitpick_OThe__psimp_0,axiom, % 2.15/2.12 c_The(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OInf__binary_0,axiom, % 2.15/2.12 ( hAPP(V_Inf,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_inf,V_a),V_b) % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_complete__lattice_OSup__binary_0,axiom, % 2.15/2.12 ( hAPP(V_Sup,c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) = hAPP(hAPP(V_sup,V_a),V_b) % 2.15/2.12 | ~ c_Complete__Lattice_Ocomplete__lattice(V_Inf,V_Sup,V_less__eq,V_less,V_inf,V_sup,V_bot,V_top,T_a) ) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Diff__insert2_0,axiom, % 2.15/2.12 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),V_B,tc_fun(T_a,tc_bool)) ). % 2.15/2.12 % 2.15/2.12 cnf(cls_Diff__insert_0,axiom, % 2.15/2.12 c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,V_B,T_a),tc_fun(T_a,tc_bool)) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_A,V_B,tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_fold1Set__sing_0,axiom, % 2.19/2.12 ( V_a = V_b % 2.19/2.12 | ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(V_f,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a),V_b)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_contents__eq_0,axiom, % 2.19/2.12 c_Set_Ocontents(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_x ). % 2.19/2.12 % 2.19/2.12 cnf(cls_Nitpick_OEx1__def_3,axiom, % 2.19/2.12 ( V_y = c_Nitpick_Osko__Nitpick__XEx1__def__1__3(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 2.19/2.12 | ~ hBOOL(hAPP(c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),V_y)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_fold1__singleton_0,axiom, % 2.19/2.12 hAPP(c_Finite__Set_Ofold1(V_f,T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ). % 2.19/2.12 % 2.19/2.12 cnf(cls_Max__singleton_0,axiom, % 2.19/2.12 ( ~ class_Orderings_Olinorder(T_a) % 2.19/2.12 | hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) = V_a ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__Diff__single_0,axiom, % 2.19/2.12 c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = c_Set_Oinsert(V_a,V_A,T_a) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_atLeastAtMost__singleton_0,axiom, % 2.19/2.12 ( ~ class_Orderings_Oorder(T_a) % 2.19/2.12 | c_SetInterval_Oord__class_OatLeastAtMost(V_a,V_a,T_a) = c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__is__Un_0,axiom, % 2.19/2.12 c_Set_Oinsert(V_a,V_A,T_a) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(T_a,tc_bool)),c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)),V_A) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_Inf__singleton_0,axiom, % 2.19/2.12 ( ~ class_Complete__Lattice_Ocomplete__lattice(T_a) % 2.19/2.12 | c_Complete__Lattice_OInf__class_OInf(c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = V_a ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_finite__imageD_0,axiom, % 2.19/2.12 ( c_Finite__Set_Ofinite(V_A,T_b) % 2.19/2.12 | ~ c_Fun_Oinj__on(V_f,V_A,T_b,T_a) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(c_Set_Oimage(V_f,V_A,T_b,T_a),T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_finite__surj_0,axiom, % 2.19/2.12 ( c_Finite__Set_Ofinite(V_B,T_b) % 2.19/2.12 | ~ c_lessequals(V_B,c_Set_Oimage(V_f,V_A,T_a,T_b),tc_fun(T_b,tc_bool)) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__constant__conv_0,axiom, % 2.19/2.12 c_Set_Oimage(c_COMBK(V_c,T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_assms_I3_J_1,axiom, % 2.19/2.12 ( hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(v_mgt(V_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) % 2.19/2.12 | ~ hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(hAPP(v_mgt__call,v_sko__local__Xassms__3__1(V_G,v_P,v_U,v_mgt__call)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) % 2.19/2.12 | ~ v_wt(V_c) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_assms_I3_J_0,axiom, % 2.19/2.12 ( hBOOL(hAPP(hAPP(v_P,V_G),c_Set_Oinsert(v_mgt(V_c),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) % 2.19/2.12 | hBOOL(c_in(v_sko__local__Xassms__3__1(V_G,v_P,v_U,v_mgt__call),v_U,tc_Com_Opname)) % 2.19/2.12 | ~ v_wt(V_c) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_Min__in_0,axiom, % 2.19/2.12 ( ~ class_Orderings_Olinorder(T_a) % 2.19/2.12 | hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMin(T_a),V_A),V_A,T_a)) % 2.19/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_Max__in_0,axiom, % 2.19/2.12 ( ~ class_Orderings_Olinorder(T_a) % 2.19/2.12 | hBOOL(c_in(hAPP(c_Finite__Set_Olinorder__class_OMax(T_a),V_A),V_A,T_a)) % 2.19/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_card__insert__if_0,axiom, % 2.19/2.12 ( c_Finite__Set_Ocard(c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Finite__Set_Ocard(V_A,T_a) % 2.19/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__Diff_0,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_a,c_HOL_Ominus__class_Ominus(V_A,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)),T_a) = V_A % 2.19/2.12 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_vimage__singleton__eq_0,axiom, % 2.19/2.12 ( hAPP(V_f,V_a) = V_b % 2.19/2.12 | ~ hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b),T_a,T_b),T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_vimage__singleton__eq_1,axiom, % 2.19/2.12 hBOOL(c_in(V_a,c_Set_Ovimage(V_f,c_Set_Oinsert(hAPP(V_f,V_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_aa,T_a),T_aa)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_ab__semigroup__mult_Ononempty__iff_2,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_x,V_xa,T_b) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) % 2.19/2.12 | hBOOL(c_in(V_x,V_xa,T_b)) % 2.19/2.12 | ~ c_OrderedGroup_Oab__semigroup__mult(V_times,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_Diff__insert__absorb_0,axiom, % 2.19/2.12 ( c_HOL_Ominus__class_Ominus(c_Set_Oinsert(V_x,V_A,T_a),c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),tc_fun(T_a,tc_bool)) = V_A % 2.19/2.12 | hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__constant__conv_1,axiom, % 2.19/2.12 ( c_Set_Oimage(c_COMBK(V_c,T_a,T_b),V_A,T_b,T_a) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 2.19/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__constant_0,axiom, % 2.19/2.12 ( c_Set_Oimage(c_COMBK(V_c,T_b,T_a),V_A,T_a,T_b) = c_Set_Oinsert(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b) % 2.19/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_singleton__iff_1,axiom, % 2.19/2.12 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__is__empty_0,axiom, % 2.19/2.12 ( c_Set_Oimage(V_f,V_A,T_b,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.19/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__iff_2,axiom, % 2.19/2.12 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) % 2.19/2.12 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insertCI_0,axiom, % 2.19/2.12 ( hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_B,T_a),T_a)) % 2.19/2.12 | ~ hBOOL(c_in(V_a,V_B,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__code_1,axiom, % 2.19/2.12 hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__insert_0,axiom, % 2.19/2.12 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) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_ex__in__conv_0,axiom, % 2.19/2.12 ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_ball__empty_0,axiom, % 2.19/2.12 ( hBOOL(hAPP(V_P,V_x)) % 2.19/2.12 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_empty__iff_0,axiom, % 2.19/2.12 ~ hBOOL(c_in(V_c,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_emptyE_0,axiom, % 2.19/2.12 ~ hBOOL(c_in(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_empty__not__insert_0,axiom, % 2.19/2.12 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oinsert(V_a,V_A,T_a) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_bot__empty__eq_0,axiom, % 2.19/2.12 hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),v_x) = c_in(v_x,c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_doubleton__eq__iff_3,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 2.19/2.12 | V_b = V_c % 2.19/2.12 | V_b = V_d ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_doubleton__eq__iff_2,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 2.19/2.12 | V_a = V_d % 2.19/2.12 | V_b = V_d ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_doubleton__eq__iff_1,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 2.19/2.12 | V_b = V_c % 2.19/2.12 | V_a = V_c ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_doubleton__eq__iff_0,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_a,c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) != c_Set_Oinsert(V_c,c_Set_Oinsert(V_d,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) % 2.19/2.12 | V_a = V_d % 2.19/2.12 | V_a = V_c ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_finite__imageI_0,axiom, % 2.19/2.12 ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(V_F,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insertE_0,axiom, % 2.19/2.12 ( hBOOL(c_in(V_a,V_A,T_a)) % 2.19/2.12 | V_a = V_b % 2.19/2.12 | ~ hBOOL(c_in(V_a,c_Set_Oinsert(V_b,V_A,T_a),T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_bot1E_0,axiom, % 2.19/2.12 ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_finite_OemptyI_0,axiom, % 2.19/2.12 c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_finite__insert_1,axiom, % 2.19/2.12 ( c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_finite__insert_0,axiom, % 2.19/2.12 ( c_Finite__Set_Ofinite(V_A,T_a) % 2.19/2.12 | ~ c_Finite__Set_Ofinite(c_Set_Oinsert(V_a,V_A,T_a),T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__code_0,axiom, % 2.19/2.12 ( hBOOL(hAPP(V_A,V_x)) % 2.19/2.12 | V_y = V_x % 2.19/2.12 | ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__absorb2_0,axiom, % 2.19/2.12 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) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__not__empty_0,axiom, % 2.19/2.12 c_Set_Oinsert(V_a,V_A,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_empty__is__image_0,axiom, % 2.19/2.12 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) != c_Set_Oimage(V_f,V_A,T_b,T_a) % 2.19/2.12 | V_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_bot__fun__eq_0,axiom, % 2.19/2.12 ( ~ class_Orderings_Obot(T_b) % 2.19/2.12 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,T_b)),v_x) = c_Orderings_Obot__class_Obot(T_b) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_singletonE_0,axiom, % 2.19/2.12 ( V_b = V_a % 2.19/2.12 | ~ hBOOL(c_in(V_b,c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__iff_1,axiom, % 2.19/2.12 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insertI1_0,axiom, % 2.19/2.12 hBOOL(c_in(V_a,c_Set_Oinsert(V_a,V_B,T_a),T_a)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insertCI_1,axiom, % 2.19/2.12 hBOOL(c_in(V_x,c_Set_Oinsert(V_x,V_B,T_a),T_a)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__commute_0,axiom, % 2.19/2.12 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) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_mem__def_1,axiom, % 2.19/2.12 ( hBOOL(c_in(V_x,V_S,T_a)) % 2.19/2.12 | ~ hBOOL(hAPP(V_S,V_x)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_mem__def_0,axiom, % 2.19/2.12 ( hBOOL(hAPP(V_S,V_x)) % 2.19/2.12 | ~ hBOOL(c_in(V_x,V_S,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_doubleton__eq__iff_4,axiom, % 2.19/2.12 c_Set_Oinsert(V_xa,c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) = c_Set_Oinsert(V_x,c_Set_Oinsert(V_xa,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),T_a) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__empty_0,axiom, % 2.19/2.12 c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_singleton__inject_0,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) != c_Set_Oinsert(V_b,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a) % 2.19/2.12 | V_a = V_b ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_bex__empty_0,axiom, % 2.19/2.12 ( ~ hBOOL(hAPP(V_P,V_x)) % 2.19/2.12 | ~ hBOOL(c_in(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_comm__monoid__add_Ononempty__iff_2,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_x,V_xa,T_a) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) % 2.19/2.12 | hBOOL(c_in(V_x,V_xa,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__code_2,axiom, % 2.19/2.12 ( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) % 2.19/2.12 | ~ hBOOL(hAPP(V_A,V_x)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__image_0,axiom, % 2.19/2.12 ( 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) % 2.19/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__ident_0,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_x,V_A,T_a) != c_Set_Oinsert(V_x,V_B,T_a) % 2.19/2.12 | hBOOL(c_in(V_x,V_B,T_a)) % 2.19/2.12 | hBOOL(c_in(V_x,V_A,T_a)) % 2.19/2.12 | V_A = V_B ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_insert__absorb_0,axiom, % 2.19/2.12 ( c_Set_Oinsert(V_a,V_A,T_a) = V_A % 2.19/2.12 | ~ hBOOL(c_in(V_a,V_A,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_empty__is__image_1,axiom, % 2.19/2.12 c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)) = c_Set_Oimage(V_f,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_bool)),T_b,T_a) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_finite_0,axiom, % 2.19/2.12 ( ~ class_Finite__Set_Ofinite_Ofinite(T_a) % 2.19/2.12 | c_Finite__Set_Ofinite(V_A,T_a) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_rev__image__eqI_0,axiom, % 2.19/2.12 ( ~ hBOOL(c_in(V_x,V_A,T_aa)) % 2.19/2.12 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_aa,T_a),T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__iff_2,axiom, % 2.19/2.12 ( ~ hBOOL(c_in(V_x,V_A,T_b)) % 2.19/2.12 | hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_image__eqI_0,axiom, % 2.19/2.12 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_b,T_a),T_a)) % 2.19/2.12 | ~ hBOOL(c_in(V_x,V_A,T_b)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_imageI_0,axiom, % 2.19/2.12 ( hBOOL(c_in(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b)) % 2.19/2.12 | ~ hBOOL(c_in(V_x,V_A,T_a)) ) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_conjecture_0,negated_conjecture, % 2.19/2.12 c_Finite__Set_Ofinite(v_U,tc_Com_Opname) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_conjecture_1,negated_conjecture, % 2.19/2.12 v_G = c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_conjecture_2,negated_conjecture, % 2.19/2.12 hBOOL(c_in(v_x,v_U,tc_Com_Opname)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_conjecture_3,negated_conjecture, % 2.19/2.12 ~ hBOOL(hAPP(hAPP(v_P,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a)),c_Set_Oinsert(hAPP(v_mgt__call,v_x),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_bool)),t_a))) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Complete__Lattice_Ocomplete__lattice,axiom, % 2.19/2.12 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Complete__Lattice_Ocomplete__lattice(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Lattices_Oupper__semilattice,axiom, % 2.19/2.12 ( class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Lattices_Olattice(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Lattices_Olower__semilattice,axiom, % 2.19/2.12 ( class_Lattices_Olower__semilattice(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Lattices_Olattice(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Lattices_Odistrib__lattice,axiom, % 2.19/2.12 ( class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Lattices_Odistrib__lattice(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Lattices_Obounded__lattice,axiom, % 2.19/2.12 ( class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Lattices_Obounded__lattice(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Finite__Set_Ofinite_Ofinite,axiom, % 2.19/2.12 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Finite__Set_Ofinite_Ofinite(T_1) % 2.19/2.12 | ~ class_Finite__Set_Ofinite_Ofinite(T_2) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 2.19/2.12 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Orderings_Opreorder(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Lattices_Olattice,axiom, % 2.19/2.12 ( class_Lattices_Olattice(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Lattices_Olattice(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Orderings_Oorder,axiom, % 2.19/2.12 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Orderings_Oorder(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Orderings_Otop,axiom, % 2.19/2.12 ( class_Orderings_Otop(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Orderings_Otop(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__Orderings_Obot,axiom, % 2.19/2.12 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_Orderings_Obot(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__HOL_Ominus,axiom, % 2.19/2.12 ( class_HOL_Ominus(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_HOL_Ominus(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_fun__HOL_Oord,axiom, % 2.19/2.12 ( class_HOL_Oord(tc_fun(T_2,T_1)) % 2.19/2.12 | ~ class_HOL_Oord(T_1) ) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 2.19/2.12 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 2.19/2.12 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 2.19/2.12 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 2.19/2.12 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 2.19/2.12 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 2.19/2.12 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 2.19/2.12 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 2.19/2.12 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 2.19/2.12 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 2.19/2.12 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom, % 2.19/2.12 class_Lattices_Oupper__semilattice(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Lattices_Olower__semilattice,axiom, % 2.19/2.12 class_Lattices_Olower__semilattice(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Lattices_Odistrib__lattice,axiom, % 2.19/2.12 class_Lattices_Odistrib__lattice(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 2.19/2.12 class_Ring__and__Field_Osemiring(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 2.19/2.12 class_Orderings_Opreorder(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 2.19/2.12 class_Orderings_Olinorder(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Lattices_Olattice,axiom, % 2.19/2.12 class_Lattices_Olattice(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Orderings_Oorder,axiom, % 2.19/2.12 class_Orderings_Oorder(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__Orderings_Obot,axiom, % 2.19/2.12 class_Orderings_Obot(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__HOL_Ominus,axiom, % 2.19/2.12 class_HOL_Ominus(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_nat__HOL_Oord,axiom, % 2.19/2.12 class_HOL_Oord(tc_nat) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Complete__Lattice_Ocomplete__lattice,axiom, % 2.19/2.12 class_Complete__Lattice_Ocomplete__lattice(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Lattices_Oupper__semilattice,axiom, % 2.19/2.12 class_Lattices_Oupper__semilattice(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Lattices_Olower__semilattice,axiom, % 2.19/2.12 class_Lattices_Olower__semilattice(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Lattices_Odistrib__lattice,axiom, % 2.19/2.12 class_Lattices_Odistrib__lattice(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Lattices_Obounded__lattice,axiom, % 2.19/2.12 class_Lattices_Obounded__lattice(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Finite__Set_Ofinite_Ofinite,axiom, % 2.19/2.12 class_Finite__Set_Ofinite_Ofinite(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 2.19/2.12 class_Orderings_Opreorder(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Lattices_Olattice,axiom, % 2.19/2.12 class_Lattices_Olattice(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Orderings_Oorder,axiom, % 2.19/2.12 class_Orderings_Oorder(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Orderings_Otop,axiom, % 2.19/2.12 class_Orderings_Otop(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__Orderings_Obot,axiom, % 2.19/2.12 class_Orderings_Obot(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__HOL_Ominus,axiom, % 2.19/2.12 class_HOL_Ominus(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(clsarity_bool__HOL_Oord,axiom, % 2.19/2.12 class_HOL_Oord(tc_bool) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 2.19/2.12 hBOOL(hAPP(c_fequal(V_x,T_a),V_x)) ). % 2.19/2.12 % 2.19/2.12 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 2.19/2.12 ( V_X = V_Y % 2.19/2.12 | ~ hBOOL(hAPP(c_fequal(V_X,T_a),V_Y)) ) ). % 2.19/2.12 % 2.19/2.12 %------------------------------------------------------------------------------ % 2.19/2.12 %------------------------------------------- % 2.19/2.12 % Proof found % 2.19/2.12 % SZS status Theorem for theBenchmark % 2.19/2.12 % SZS output start Proof % 2.19/2.12 %ClaNum:1082(EqnAxiom:172) % 2.19/2.12 %VarNum:7615(SingletonVarNum:2775) % 2.19/2.12 %MaxLitNum:7 % 2.19/2.12 %MaxfuncDepth:7 % 2.19/2.12 %SharedTerms:58 % 2.19/2.12 %goalClause: 207 216 241 341 % 2.19/2.12 %singleGoalClaCount:4 % 2.19/2.12 [173]P1(a1) % 2.19/2.12 [174]P1(a41) % 2.19/2.12 [175]P2(a1) % 2.19/2.12 [176]P2(a41) % 2.19/2.12 [177]P3(a1) % 2.19/2.12 [178]P37(a41) % 2.19/2.12 [179]P16(a41) % 2.19/2.12 [180]P17(a1) % 2.19/2.12 [181]P17(a41) % 2.19/2.12 [182]P18(a1) % 2.19/2.12 [183]P18(a41) % 2.19/2.12 [184]P19(a1) % 2.19/2.12 [185]P19(a41) % 2.19/2.12 [186]P21(a41) % 2.19/2.12 [187]P4(a1) % 2.19/2.12 [188]P4(a41) % 2.19/2.12 [189]P28(a41) % 2.19/2.12 [190]P29(a41) % 2.19/2.12 [191]P30(a41) % 2.19/2.12 [192]P20(a1) % 2.19/2.12 [193]P20(a41) % 2.19/2.12 [194]P5(a1) % 2.19/2.12 [195]P22(a41) % 2.19/2.12 [196]P24(a41) % 2.19/2.12 [197]P38(a41) % 2.19/2.12 [198]P40(a41) % 2.19/2.12 [199]P26(a41) % 2.19/2.12 [200]P27(a41) % 2.19/2.12 [201]P13(a1) % 2.19/2.12 [202]P13(a41) % 2.19/2.12 [203]P14(a1) % 2.19/2.12 [204]P36(a1) % 2.19/2.12 [205]P36(a41) % 2.19/2.12 [206]P39(a1) % 2.19/2.12 [207]P6(a43,a2) % 2.19/2.12 [216]P46(f37(a46,a43,a2)) % 2.19/2.12 [241]E(f35(a47,a43,a2,a40),a44) % 2.19/2.12 [225]E(f37(a46,f4(f42(a40,a1)),a40),f39(f4(f42(a40,a1)),a46)) % 2.19/2.12 [341]~P46(f39(f39(a45,f35(a47,a43,a2,a40)),f30(f39(a47,a46),f4(f42(a40,a1)),a40))) % 2.19/2.12 [209]P8(x2091,x2091,a41) % 2.19/2.12 [329]~P9(x3291,x3291,a41) % 2.19/2.12 [211]P9(x2111,f3(x2111),a41) % 2.19/2.12 [327]~E(f3(x3271),x3271) % 2.19/2.12 [331]~P8(f3(x3311),x3311,a41) % 2.19/2.12 [213]P6(f4(f42(x2131,a1)),x2131) % 2.19/2.12 [330]~E(f27(f42(x3301,a1)),f4(f42(x3301,a1))) % 2.19/2.12 [215]P8(x2151,x2151,f42(x2152,a1)) % 2.19/2.12 [332]~P9(x3321,x3321,f42(x3322,a1)) % 2.19/2.12 [217]E(f5(x2171,x2171,f42(x2172,a1)),f4(f42(x2172,a1))) % 2.19/2.12 [219]P8(x2191,f27(f42(x2192,a1)),f42(x2192,a1)) % 2.19/2.12 [220]P8(f4(f42(x2201,a1)),x2202,f42(x2201,a1)) % 2.19/2.12 [221]E(f5(x2211,f4(f42(x2212,a1)),f42(x2212,a1)),x2211) % 2.19/2.12 [226]E(f5(x2261,f27(f42(x2262,a1)),f42(x2262,a1)),f4(f42(x2262,a1))) % 2.19/2.12 [227]E(f5(f4(f42(x2271,a1)),x2272,f42(x2271,a1)),f4(f42(x2271,a1))) % 2.19/2.12 [335]~P9(x3351,f4(f42(x3352,a1)),f42(x3352,a1)) % 2.19/2.12 [222]P46(f39(f27(f42(x2221,a1)),x2222)) % 2.19/2.12 [231]E(f39(f39(f21(f42(x2311,a1)),x2312),f27(f42(x2311,a1))),x2312) % 2.19/2.12 [232]E(f39(f39(f25(f42(x2321,a1)),x2322),f4(f42(x2321,a1))),x2322) % 2.19/2.12 [233]P46(f37(x2331,f27(f42(x2332,a1)),x2332)) % 2.19/2.12 [235]E(f39(f39(f21(f42(x2351,a1)),x2352),f4(f42(x2351,a1))),f4(f42(x2351,a1))) % 2.19/2.12 [236]E(f39(f39(f25(f42(x2361,a1)),x2362),f27(f42(x2361,a1))),f27(f42(x2361,a1))) % 2.19/2.12 [336]~P46(f39(f4(f42(x3361,a1)),x3362)) % 2.19/2.12 [339]~P46(f37(x3391,f4(f42(x3392,a1)),x3392)) % 2.19/2.12 [223]E(f39(f39(f21(f42(x2231,a1)),x2232),x2232),x2232) % 2.19/2.12 [224]E(f39(f39(f25(f42(x2241,a1)),x2242),x2242),x2242) % 2.19/2.12 [238]E(f38(f30(x2381,f4(f42(x2382,a1)),x2382),x2382),x2381) % 2.19/2.12 [239]E(f31(f30(x2391,f4(f42(x2392,a1)),x2392),x2392),x2391) % 2.19/2.12 [243]E(f39(f39(f21(f42(x2431,a1)),f27(f42(x2431,a1))),x2432),x2432) % 2.19/2.12 [244]E(f39(f39(f25(f42(x2441,a1)),f4(f42(x2441,a1))),x2442),x2442) % 2.19/2.12 [246]E(f39(f39(f21(f42(x2461,a1)),f4(f42(x2461,a1))),x2462),f4(f42(x2461,a1))) % 2.19/2.12 [247]E(f39(f39(f25(f42(x2471,a1)),f27(f42(x2471,a1))),x2472),f27(f42(x2471,a1))) % 2.19/2.12 [302]P46(f39(f30(x3021,f4(f42(x3022,a1)),x3022),f26(f30(x3021,f4(f42(x3022,a1)),x3022),x3022))) % 2.19/2.12 [230]P8(x2301,f30(x2302,x2301,x2303),f42(x2303,a1)) % 2.19/2.12 [228]E(f38(f10(x2281,x2282,x2283),x2283),f39(f11(x2281,x2283),x2282)) % 2.19/2.12 [234]E(f30(x2341,f30(x2341,x2342,x2343),x2343),f30(x2341,x2342,x2343)) % 2.19/2.12 [240]P8(f5(x2401,x2402,f42(x2403,a1)),x2401,f42(x2403,a1)) % 2.19/2.12 [242]P46(f39(f30(x2421,x2422,x2423),x2421)) % 2.19/2.12 [250]P10(x2501,f4(f42(x2502,a1)),x2502,x2503) % 2.19/2.12 [251]E(f5(f5(x2511,x2512,f42(x2513,a1)),x2512,f42(x2513,a1)),f5(x2511,x2512,f42(x2513,a1))) % 2.19/2.12 [256]P46(f37(x2561,f30(x2561,x2562,x2563),x2563)) % 2.19/2.12 [333]~E(f30(x3331,x3332,x3333),f4(f42(x3333,a1))) % 2.19/2.12 [334]~E(f4(f42(x3341,a1)),f30(x3342,x3343,x3341)) % 2.19/2.12 [253]E(f39(f39(f21(f42(x2531,a1)),x2532),f5(x2533,x2532,f42(x2531,a1))),f4(f42(x2531,a1))) % 2.19/2.12 [258]E(f35(x2581,f4(f42(x2582,a1)),x2582,x2583),f4(f42(x2583,a1))) % 2.19/2.12 [259]E(f36(x2591,f4(f42(x2592,a1)),x2593,x2592),f4(f42(x2593,a1))) % 2.19/2.12 [260]E(f36(x2601,f27(f42(x2602,a1)),x2603,x2602),f27(f42(x2603,a1))) % 2.19/2.12 [278]E(f30(x2781,f5(x2782,f30(x2781,f4(f42(x2783,a1)),x2783),f42(x2783,a1)),x2783),f30(x2781,x2782,x2783)) % 2.19/2.12 [245]E(f39(f11(x2451,x2452),f30(x2453,f4(f42(x2452,a1)),x2452)),x2453) % 2.19/2.12 [248]E(f39(f39(f21(f42(x2481,a1)),x2482),x2483),f39(f39(f21(f42(x2481,a1)),x2483),x2482)) % 2.19/2.12 [249]E(f39(f39(f25(f42(x2491,a1)),x2492),x2493),f39(f39(f25(f42(x2491,a1)),x2493),x2492)) % 2.19/2.12 [262]P8(x2621,f39(f39(f25(f42(x2622,a1)),x2623),x2621),f42(x2622,a1)) % 2.19/2.12 [263]P8(x2631,f39(f39(f25(f42(x2632,a1)),x2631),x2633),f42(x2632,a1)) % 2.19/2.12 [264]P8(f39(f39(f21(f42(x2641,a1)),x2642),x2643),x2643,f42(x2641,a1)) % 2.19/2.12 [265]P8(f39(f39(f21(f42(x2651,a1)),x2652),x2653),x2652,f42(x2651,a1)) % 2.19/2.12 [267]E(f39(f39(f25(f42(x2671,a1)),x2672),f5(x2673,x2672,f42(x2671,a1))),f39(f39(f25(f42(x2671,a1)),x2672),x2673)) % 2.19/2.12 [274]E(f39(f39(f25(f42(x2741,a1)),f5(x2742,x2743,f42(x2741,a1))),x2743),f39(f39(f25(f42(x2741,a1)),x2742),x2743)) % 2.19/2.12 [340]~P46(f39(f10(x3401,f4(f42(x3402,a1)),x3402),x3403)) % 2.19/2.12 [271]E(f39(f39(f21(f42(x2711,a1)),x2712),f39(f39(f21(f42(x2711,a1)),x2712),x2713)),f39(f39(f21(f42(x2711,a1)),x2712),x2713)) % 2.19/2.12 [272]E(f39(f39(f25(f42(x2721,a1)),x2722),f39(f39(f25(f42(x2721,a1)),x2722),x2723)),f39(f39(f25(f42(x2721,a1)),x2722),x2723)) % 2.19/2.12 [275]E(f39(f39(f25(f42(x2751,a1)),f30(x2752,f4(f42(x2751,a1)),x2751)),x2753),f30(x2752,x2753,x2751)) % 2.19/2.12 [281]E(f39(f39(f25(f42(x2811,a1)),f5(x2812,x2813,f42(x2811,a1))),f39(f39(f21(f42(x2811,a1)),x2812),x2813)),x2812) % 2.19/2.12 [294]P46(f39(f10(x2941,f30(x2942,f4(f42(x2943,a1)),x2943),x2943),x2942)) % 2.19/2.12 [218]E(f39(f6(x2181,x2182,x2183),x2184),x2181) % 2.19/2.12 [252]E(f30(x2521,f30(x2522,x2523,x2524),x2524),f30(x2522,f30(x2521,x2523,x2524),x2524)) % 2.19/2.12 [276]E(f5(f5(x2761,x2762,f42(x2763,a1)),f30(x2764,f4(f42(x2763,a1)),x2763),f42(x2763,a1)),f5(x2761,f30(x2764,x2762,x2763),f42(x2763,a1))) % 2.19/2.12 [280]E(f5(x2801,f12(f4(f42(x2802,a1)),x2803,x2802,f42(x2804,a1)),f42(x2804,a1)),x2801) % 2.19/2.12 [285]E(f5(f5(x2851,f30(x2852,f4(f42(x2853,a1)),x2853),f42(x2853,a1)),x2854,f42(x2853,a1)),f5(x2851,f30(x2852,x2854,x2853),f42(x2853,a1))) % 2.19/2.12 [293]E(f5(f39(f39(f21(f42(x2931,a1)),x2932),x2933),f39(f39(f21(f42(x2931,a1)),x2934),x2933),f42(x2931,a1)),f5(f39(f39(f21(f42(x2931,a1)),x2932),x2933),x2934,f42(x2931,a1))) % 2.19/2.12 [301]E(f16(x3011,x3012,f39(x3011,x3012),x3013,x3014),x3011) % 2.19/2.12 [309]P8(f35(x3091,f36(x3091,x3092,x3093,x3094),x3093,x3094),x3092,f42(x3094,a1)) % 2.19/2.12 [277]E(f5(f39(f39(f21(f42(x2771,a1)),x2772),x2773),x2774,f42(x2771,a1)),f39(f39(f21(f42(x2771,a1)),x2772),f5(x2773,x2774,f42(x2771,a1)))) % 2.19/2.12 [282]E(f39(f39(f25(f42(x2821,a1)),x2822),f12(f4(f42(x2823,a1)),x2824,x2823,f42(x2821,a1))),x2822) % 2.19/2.12 [283]E(f30(x2831,f12(f4(f42(x2832,a1)),x2833,x2832,f42(x2834,a1)),x2834),f30(x2831,f4(f42(x2834,a1)),x2834)) % 2.19/2.12 [289]E(f5(f39(f39(f21(f42(x2891,a1)),x2892),x2893),f39(f39(f21(f42(x2891,a1)),x2892),x2894),f42(x2891,a1)),f39(f39(f21(f42(x2891,a1)),x2892),f5(x2893,x2894,f42(x2891,a1)))) % 2.19/2.12 [290]E(f39(f39(f25(f42(x2901,a1)),f5(x2902,x2903,f42(x2901,a1))),f5(x2902,x2904,f42(x2901,a1))),f5(x2902,f39(f39(f21(f42(x2901,a1)),x2903),x2904),f42(x2901,a1))) % 2.19/2.12 [291]E(f39(f39(f21(f42(x2911,a1)),f5(x2912,x2913,f42(x2911,a1))),f5(x2912,x2914,f42(x2911,a1))),f5(x2912,f39(f39(f25(f42(x2911,a1)),x2913),x2914),f42(x2911,a1))) % 2.19/2.12 [292]E(f39(f39(f25(f42(x2921,a1)),f5(x2922,x2923,f42(x2921,a1))),f5(x2924,x2923,f42(x2921,a1))),f5(f39(f39(f25(f42(x2921,a1)),x2922),x2924),x2923,f42(x2921,a1))) % 2.19/2.12 [295]E(f5(f39(f39(f21(f42(x2951,a1)),x2952),x2953),f39(f39(f21(f42(x2951,a1)),x2954),x2953),f42(x2951,a1)),f39(f39(f21(f42(x2951,a1)),f5(x2952,x2954,f42(x2951,a1))),x2953)) % 2.19/2.12 [303]P46(f37(f39(x3031,x3032),f35(x3031,f27(f42(x3033,a1)),x3033,x3034),x3034)) % 2.19/2.12 [306]E(f39(f39(f25(f42(x3061,a1)),f12(f4(f42(x3062,a1)),x3063,x3062,f42(x3061,a1))),x3064),x3064) % 2.19/2.12 [308]E(f35(x3081,f36(x3081,x3082,x3083,x3084),x3083,x3084),f39(f39(f21(f42(x3084,a1)),x3082),f35(x3081,f27(f42(x3083,a1)),x3083,x3084))) % 2.19/2.12 [319]E(f38(f17(x3191,x3192,f4(f42(x3193,a1)),x3193,x3194),x3194),x3192) % 2.19/2.12 [324]P46(f39(f17(x3241,x3242,f4(f42(x3243,a1)),x3243,x3244),x3242)) % 2.19/2.12 [273]E(f30(x2731,f39(f39(f25(f42(x2732,a1)),x2733),x2734),x2732),f39(f39(f25(f42(x2732,a1)),x2733),f30(x2731,x2734,x2732))) % 2.19/2.12 [279]E(f30(x2791,f39(f39(f25(f42(x2792,a1)),x2793),x2794),x2792),f39(f39(f25(f42(x2792,a1)),f30(x2791,x2793,x2792)),x2794)) % 2.19/2.12 [284]E(f39(f39(f21(f42(x2841,a1)),f30(x2842,x2843,x2841)),f30(x2842,x2844,x2841)),f30(x2842,f39(f39(f21(f42(x2841,a1)),x2843),x2844),x2841)) % 2.19/2.12 [286]E(f39(f39(f21(f42(x2861,a1)),x2862),f39(f39(f21(f42(x2861,a1)),x2863),x2864)),f39(f39(f21(f42(x2861,a1)),x2863),f39(f39(f21(f42(x2861,a1)),x2862),x2864))) % 2.19/2.12 [287]E(f39(f39(f25(f42(x2871,a1)),x2872),f39(f39(f25(f42(x2871,a1)),x2873),x2874)),f39(f39(f25(f42(x2871,a1)),x2873),f39(f39(f25(f42(x2871,a1)),x2872),x2874))) % 2.19/2.12 [304]E(f39(f39(f25(f42(x3041,a1)),f39(f39(f21(f42(x3041,a1)),x3042),x3043)),f39(f39(f21(f42(x3041,a1)),x3042),x3044)),f39(f39(f21(f42(x3041,a1)),x3042),f39(f39(f25(f42(x3041,a1)),x3043),x3044))) % 2.19/2.12 [305]E(f39(f39(f21(f42(x3051,a1)),f39(f39(f25(f42(x3051,a1)),x3052),x3053)),f39(f39(f25(f42(x3051,a1)),x3052),x3054)),f39(f39(f25(f42(x3051,a1)),x3052),f39(f39(f21(f42(x3051,a1)),x3053),x3054))) % 2.19/2.12 [312]P46(f37(x3121,f36(x3122,f30(f39(x3122,x3121),f4(f42(x3123,a1)),x3123),x3124,x3123),x3124)) % 2.19/2.12 [325]E(f39(f39(f25(f42(x3251,a1)),f39(f39(f25(f42(x3251,a1)),f39(f39(f21(f42(x3251,a1)),x3252),x3253)),f39(f39(f21(f42(x3251,a1)),x3253),x3254))),f39(f39(f21(f42(x3251,a1)),x3254),x3252)),f39(f39(f21(f42(x3251,a1)),f39(f39(f21(f42(x3251,a1)),f39(f39(f25(f42(x3251,a1)),x3252),x3253)),f39(f39(f25(f42(x3251,a1)),x3253),x3254))),f39(f39(f25(f42(x3251,a1)),x3254),x3252))) % 2.19/2.12 [297]E(f39(f39(f21(f42(x2971,a1)),f39(f39(f21(f42(x2971,a1)),x2972),x2973)),x2974),f39(f39(f21(f42(x2971,a1)),x2972),f39(f39(f21(f42(x2971,a1)),x2973),x2974))) % 2.19/2.12 [298]E(f39(f39(f25(f42(x2981,a1)),f39(f39(f25(f42(x2981,a1)),x2982),x2983)),x2984),f39(f39(f25(f42(x2981,a1)),x2982),f39(f39(f25(f42(x2981,a1)),x2983),x2984))) % 2.19/2.12 [310]E(f39(f39(f25(f42(x3101,a1)),f39(f39(f21(f42(x3101,a1)),x3102),x3103)),f39(f39(f21(f42(x3101,a1)),x3104),x3103)),f39(f39(f21(f42(x3101,a1)),f39(f39(f25(f42(x3101,a1)),x3102),x3104)),x3103)) % 2.19/2.12 [311]E(f39(f39(f21(f42(x3111,a1)),f39(f39(f25(f42(x3111,a1)),x3112),x3113)),f39(f39(f25(f42(x3111,a1)),x3114),x3113)),f39(f39(f25(f42(x3111,a1)),f39(f39(f21(f42(x3111,a1)),x3112),x3114)),x3113)) % 2.19/2.12 [288]E(f35(x2881,f30(x2882,x2883,x2884),x2884,x2885),f30(f39(x2881,x2882),f35(x2881,x2883,x2884,x2885),x2885)) % 2.19/2.12 [318]E(f39(f16(x3181,x3182,x3183,x3184,x3185),x3182),x3183) % 2.19/2.12 [320]E(f39(f39(f25(f42(x3201,a1)),f36(x3202,f30(x3203,f4(f42(x3204,a1)),x3204),x3201,x3204)),f36(x3202,x3205,x3201,x3204)),f36(x3202,f30(x3203,x3205,x3204),x3201,x3204)) % 2.19/2.12 [296]E(f12(f30(x2961,x2962,x2963),x2964,x2963,f42(x2965,a1)),f39(f39(f25(f42(x2965,a1)),f39(x2964,x2961)),f12(x2962,x2964,x2963,f42(x2965,a1)))) % 2.19/2.12 [307]E(f5(f36(x3071,x3072,x3073,x3074),f36(x3071,x3075,x3073,x3074),f42(x3073,a1)),f36(x3071,f5(x3072,x3075,f42(x3074,a1)),x3073,x3074)) % 2.19/2.12 [316]E(f39(f39(f25(f42(x3161,a1)),f12(x3162,x3163,x3164,f42(x3161,a1))),f12(x3165,x3163,x3164,f42(x3161,a1))),f12(f39(f39(f25(f42(x3164,a1)),x3162),x3165),x3163,x3164,f42(x3161,a1))) % 2.19/2.12 [321]P8(f5(f35(x3211,x3212,x3213,x3214),f35(x3211,x3215,x3213,x3214),f42(x3214,a1)),f35(x3211,f5(x3212,x3215,f42(x3213,a1)),x3213,x3214),f42(x3214,a1)) % 2.19/2.12 [313]E(f39(f39(f25(f42(x3131,a1)),f35(x3132,x3133,x3134,x3131)),f35(x3132,x3135,x3134,x3131)),f35(x3132,f39(f39(f25(f42(x3134,a1)),x3133),x3135),x3134,x3131)) % 2.19/2.12 [314]E(f39(f39(f21(f42(x3141,a1)),f36(x3142,x3143,x3141,x3144)),f36(x3142,x3145,x3141,x3144)),f36(x3142,f39(f39(f21(f42(x3144,a1)),x3143),x3145),x3141,x3144)) % 2.19/2.12 [315]E(f39(f39(f25(f42(x3151,a1)),f36(x3152,x3153,x3151,x3154)),f36(x3152,x3155,x3151,x3154)),f36(x3152,f39(f39(f25(f42(x3154,a1)),x3153),x3155),x3151,x3154)) % 2.19/2.12 [322]P8(f35(x3221,f39(f39(f21(f42(x3222,a1)),x3223),x3224),x3222,x3225),f39(f39(f21(f42(x3225,a1)),f35(x3221,x3223,x3222,x3225)),f35(x3221,x3224,x3222,x3225)),f42(x3225,a1)) % 2.19/2.12 [323]E(f16(f16(x3231,x3232,x3233,x3234,x3235),x3232,x3236,x3234,x3235),f16(x3231,x3232,x3236,x3234,x3235)) % 2.19/2.12 [347]~P16(x3471)+E(f11(f29(x3471),x3471),f18(x3471)) % 2.19/2.12 [348]~P16(x3481)+E(f11(f28(x3481),x3481),f19(x3481)) % 2.19/2.12 [378]~P36(x3781)+E(f39(f4(f42(a40,x3781)),a46),f4(x3781)) % 2.19/2.12 [379]~P39(x3791)+E(f39(f27(f42(a40,x3791)),a46),f27(x3791)) % 2.19/2.12 [382]~P5(x3821)+E(f13(f4(f42(x3821,a1)),x3821),f27(x3821)) % 2.19/2.12 [383]~P5(x3831)+E(f13(f27(f42(x3831,a1)),x3831),f4(x3831)) % 2.19/2.12 [384]~P5(x3841)+E(f14(f4(f42(x3841,a1)),x3841),f4(x3841)) % 2.19/2.12 [385]~P5(x3851)+E(f14(f27(f42(x3851,a1)),x3851),f27(x3851)) % 2.19/2.12 [344]~P14(x3442)+P6(x3441,x3442) % 2.19/2.12 [367]~P1(x3672)+P8(x3671,x3671,x3672) % 2.19/2.12 [368]~P2(x3682)+P8(x3681,x3681,x3682) % 2.19/2.12 [388]~P9(x3882,x3882,x3881)+~P1(x3881) % 2.19/2.12 [389]~P9(x3892,x3892,x3891)+~P2(x3891) % 2.19/2.12 [390]~P9(x3902,x3902,x3901)+~P16(x3901) % 2.19/2.12 [396]P8(x3962,x3961,a41)+P8(x3961,x3962,a41) % 2.19/2.12 [424]~P9(x4241,x4242,a41)+P8(x4241,x4242,a41) % 2.19/2.12 [343]E(x3431,x3432)+~E(f3(x3431),f3(x3432)) % 2.19/2.12 [349]~P1(x3492)+P1(f42(x3491,x3492)) % 2.19/2.12 [350]~P2(x3502)+P2(f42(x3501,x3502)) % 2.19/2.12 [351]~P3(x3512)+P3(f42(x3511,x3512)) % 2.19/2.12 [352]~P19(x3522)+P17(f42(x3521,x3522)) % 2.19/2.12 [353]~P19(x3532)+P18(f42(x3531,x3532)) % 2.19/2.12 [354]~P19(x3542)+P19(f42(x3541,x3542)) % 2.19/2.12 [355]~P4(x3552)+P4(f42(x3551,x3552)) % 2.19/2.12 [356]~P20(x3562)+P20(f42(x3561,x3562)) % 2.19/2.12 [357]~P5(x3572)+P5(f42(x3571,x3572)) % 2.19/2.12 [358]~P13(x3582)+P13(f42(x3581,x3582)) % 2.19/2.12 [359]~P36(x3592)+P36(f42(x3591,x3592)) % 2.19/2.12 [360]~P39(x3602)+P39(f42(x3601,x3602)) % 2.19/2.12 [371]~P39(x3712)+P8(x3711,f27(x3712),x3712) % 2.19/2.12 [372]~P36(x3721)+P8(f4(x3721),x3722,x3721) % 2.19/2.12 [410]P9(x4101,x4102,a41)+P9(x4102,f3(x4101),a41) % 2.19/2.12 [412]P8(x4121,x4122,a41)+P8(f3(x4122),x4121,a41) % 2.19/2.12 [428]~P9(x4281,x4282,a41)+P9(x4281,f3(x4282),a41) % 2.19/2.12 [429]~P8(x4291,x4292,a41)+P9(x4291,f3(x4292),a41) % 2.19/2.12 [431]~P8(x4311,x4312,a41)+P8(x4311,f3(x4312),a41) % 2.19/2.12 [433]~P9(x4331,x4332,a41)+P8(f3(x4331),x4332,a41) % 2.19/2.12 [445]P8(x4451,x4452,a41)+~P9(x4451,f3(x4452),a41) % 2.19/2.12 [446]P9(x4461,x4462,a41)+~P9(f3(x4461),x4462,a41) % 2.19/2.12 [448]P9(x4481,x4482,a41)+~P8(f3(x4481),x4482,a41) % 2.19/2.12 [449]P8(x4491,x4492,a41)+~P8(f3(x4491),x4492,a41) % 2.19/2.12 [465]~P9(x4651,x4652,a41)+P9(f3(x4651),f3(x4652),a41) % 2.19/2.12 [466]~P8(x4661,x4662,a41)+P8(f3(x4661),f3(x4662),a41) % 2.19/2.12 [476]P9(x4761,x4762,a41)+~P9(f3(x4761),f3(x4762),a41) % 2.19/2.12 [477]P8(x4771,x4772,a41)+~P8(f3(x4771),f3(x4772),a41) % 2.19/2.12 [507]~P9(x5071,x5072,a41)+~P9(x5072,f3(x5071),a41) % 2.19/2.12 [508]~P8(x5081,x5082,a41)+~P8(f3(x5082),x5081,a41) % 2.19/2.12 [369]~P3(x3691)+E(f39(f39(f21(x3691),x3692),f27(x3691)),x3692) % 2.19/2.12 [370]~P3(x3701)+E(f39(f39(f25(x3701),x3702),f4(x3701)),x3702) % 2.19/2.12 [373]~P3(x3731)+E(f39(f39(f21(x3731),x3732),f4(x3731)),f4(x3731)) % 2.19/2.12 [374]~P3(x3741)+E(f39(f39(f25(x3741),x3742),f27(x3741)),f27(x3741)) % 2.19/2.12 [526]~P8(x5262,x5261,f42(a40,a1))+P46(f39(f39(a45,x5261),x5262)) % 2.19/2.12 [556]~P8(x5561,f4(f42(x5562,a1)),f42(x5562,a1))+E(x5561,f4(f42(x5562,a1))) % 2.19/2.12 [362]~P18(x3621)+E(f39(f39(f21(x3621),x3622),x3622),x3622) % 2.19/2.12 [363]~P25(x3631)+E(f39(f39(f22(x3631),x3632),x3632),x3632) % 2.19/2.12 [364]~P16(x3641)+E(f39(f39(f28(x3641),x3642),x3642),x3642) % 2.19/2.12 [365]~P17(x3651)+E(f39(f39(f25(x3651),x3652),x3652),x3652) % 2.19/2.12 [366]~P16(x3661)+E(f39(f39(f29(x3661),x3662),x3662),x3662) % 2.19/2.12 [375]~P3(x3751)+E(f39(f39(f21(x3751),f27(x3751)),x3752),x3752) % 2.19/2.12 [376]~P3(x3761)+E(f39(f39(f25(x3761),f4(x3761)),x3762),x3762) % 2.19/2.12 [380]~P3(x3801)+E(f39(f39(f21(x3801),f4(x3801)),x3802),f4(x3801)) % 2.19/2.12 [381]~P3(x3811)+E(f39(f39(f25(x3811),f27(x3811)),x3812),f27(x3811)) % 2.19/2.12 [499]~P2(x4992)+E(f33(x4991,x4991,x4992),f30(x4991,f4(f42(x4992,a1)),x4992)) % 2.19/2.12 [557]~P5(x5572)+E(f13(f30(x5571,f4(f42(x5572,a1)),x5572),x5572),x5571) % 2.19/2.12 [558]~P5(x5582)+E(f14(f30(x5581,f4(f42(x5582,a1)),x5582),x5582),x5581) % 2.19/2.12 [567]~P16(x5671)+E(f39(f18(x5671),f30(x5672,f4(f42(x5671,a1)),x5671)),x5672) % 2.19/2.12 [568]~P16(x5681)+E(f39(f19(x5681),f30(x5682,f4(f42(x5681,a1)),x5681)),x5682) % 2.19/2.12 [804]E(f15(f30(x8041,f4(f42(x8042,a1)),x8042),x8042),f3(f15(f4(f42(x8042,a1)),x8042)))+P46(f37(x8041,f4(f42(x8042,a1)),x8042)) % 2.19/2.12 [440]~P6(x4402,x4403)+P6(f30(x4401,x4402,x4403),x4403) % 2.19/2.12 [479]~P46(f39(x4792,x4791))+P46(f37(x4791,x4792,x4793)) % 2.19/2.12 [527]~P9(x5271,x5272,f42(x5273,a1))+P8(x5271,x5272,f42(x5273,a1)) % 2.19/2.12 [533]P6(x5331,x5332)+~P6(f30(x5333,x5331,x5332),x5332) % 2.19/2.12 [535]P46(f39(x5351,x5352))+~P46(f37(x5352,x5351,x5353)) % 2.19/2.12 [555]E(f30(x5551,x5552,x5553),x5552)+~P46(f37(x5551,x5552,x5553)) % 2.19/2.12 [386]~P46(f39(x3861,x3863))+~E(x3861,f4(f42(x3862,a1))) % 2.19/2.12 [387]~P46(f39(x3872,x3873))+~E(f4(f42(x3871,a1)),x3872) % 2.19/2.12 [524]~P6(x5241,x5243)+P6(f5(x5241,x5242,f42(x5243,a1)),x5243) % 2.19/2.12 [536]~P5(x5361)+E(f39(f39(f21(x5361),x5362),f13(x5363,x5361)),f13(f30(x5362,x5363,x5361),x5361)) % 2.19/2.12 [537]~P5(x5371)+E(f39(f39(f25(x5371),x5372),f14(x5373,x5371)),f14(f30(x5372,x5373,x5371),x5371)) % 2.19/2.12 [685]~P6(x6851,x6852)+P8(f15(x6851,x6852),f15(f30(x6853,x6851,x6852),x6852),a41) % 2.19/2.12 [708]~P11(x7081,x7082,x7083)+P10(x7081,f27(f42(x7082,a1)),x7082,x7083) % 2.19/2.12 [779]P46(f37(x7791,x7792,x7793))+E(f5(f30(x7791,x7792,x7793),f30(x7791,f4(f42(x7793,a1)),x7793),f42(x7793,a1)),x7792) % 2.19/2.12 [399]~P18(x3991)+E(f39(f39(f21(x3991),x3992),x3993),f39(f39(f21(x3991),x3993),x3992)) % 2.19/2.12 [400]~P19(x4001)+E(f39(f39(f21(x4001),x4002),x4003),f39(f39(f21(x4001),x4003),x4002)) % 2.19/2.12 [402]~P37(x4021)+E(f39(f39(f22(x4021),x4022),x4023),f39(f39(f22(x4021),x4023),x4022)) % 2.19/2.12 [404]~P37(x4041)+E(f39(f39(f23(x4041),x4042),x4043),f39(f39(f23(x4041),x4043),x4042)) % 2.19/2.12 [405]~P21(x4051)+E(f39(f39(f23(x4051),x4052),x4053),f39(f39(f23(x4051),x4053),x4052)) % 2.19/2.12 [406]~P16(x4061)+E(f39(f39(f28(x4061),x4062),x4063),f39(f39(f28(x4061),x4063),x4062)) % 2.19/2.12 [407]~P17(x4071)+E(f39(f39(f25(x4071),x4072),x4073),f39(f39(f25(x4071),x4073),x4072)) % 2.19/2.12 [408]~P19(x4081)+E(f39(f39(f25(x4081),x4082),x4083),f39(f39(f25(x4081),x4083),x4082)) % 2.19/2.12 [409]~P16(x4091)+E(f39(f39(f29(x4091),x4092),x4093),f39(f39(f29(x4091),x4093),x4092)) % 2.19/2.12 [486]~P17(x4862)+P8(x4861,f39(f39(f25(x4862),x4863),x4861),x4862) % 2.19/2.12 [487]~P19(x4872)+P8(x4871,f39(f39(f25(x4872),x4873),x4871),x4872) % 2.19/2.12 [488]~P17(x4882)+P8(x4881,f39(f39(f25(x4882),x4881),x4883),x4882) % 2.19/2.12 [489]~P19(x4892)+P8(x4891,f39(f39(f25(x4892),x4891),x4893),x4892) % 2.19/2.12 [490]~P16(x4902)+P8(x4901,f39(f39(f29(x4902),x4903),x4901),x4902) % 2.19/2.12 [491]~P16(x4912)+P8(x4911,f39(f39(f29(x4912),x4911),x4913),x4912) % 2.19/2.12 [492]~P18(x4921)+P8(f39(f39(f21(x4921),x4922),x4923),x4923,x4921) % 2.19/2.12 [493]~P19(x4931)+P8(f39(f39(f21(x4931),x4932),x4933),x4933,x4931) % 2.19/2.12 [494]~P18(x4941)+P8(f39(f39(f21(x4941),x4942),x4943),x4942,x4941) % 2.19/2.12 [495]~P19(x4951)+P8(f39(f39(f21(x4951),x4952),x4953),x4952,x4951) % 2.19/2.12 [496]~P16(x4961)+P8(f39(f39(f28(x4961),x4962),x4963),x4963,x4961) % 2.19/2.12 [497]~P16(x4971)+P8(f39(f39(f28(x4971),x4972),x4973),x4972,x4971) % 2.19/2.12 [611]~P13(x6113)+E(f5(f39(x6111,a46),f39(x6112,a46),x6113),f39(f5(x6111,x6112,f42(a40,x6113)),a46)) % 2.19/2.12 [612]~P31(x6121)+E(f39(f39(f23(x6121),f5(x6122,x6123,x6121)),x6123),x6122) % 2.19/2.12 [670]E(x6701,x6702)+~E(f30(x6701,f4(f42(x6703,a1)),x6703),f30(x6702,f4(f42(x6703,a1)),x6703)) % 2.19/2.12 [738]~P8(x7382,x7383,f42(x7381,a1))+E(f39(f39(f25(f42(x7381,a1)),x7382),f5(x7383,x7382,f42(x7381,a1))),x7383) % 2.19/2.12 [871]~P11(x8712,x8711,x8713)+P11(f24(f27(f42(x8711,a1)),x8712,x8711,x8713),x8713,x8711) % 2.19/2.12 [883]~P46(f37(x8831,x8832,x8833))+E(f30(x8831,f5(x8832,f30(x8831,f4(f42(x8833,a1)),x8833),f42(x8833,a1)),x8833),x8832) % 2.19/2.12 [953]~P6(x9531,x9533)+P8(f15(f5(x9531,f30(x9532,f4(f42(x9533,a1)),x9533),f42(x9533,a1)),x9533),f15(x9531,x9533),a41) % 2.19/2.12 [482]~P19(x4821)+E(f39(f39(f21(x4821),x4822),f39(f39(f25(x4821),x4822),x4823)),x4822) % 2.19/2.12 [483]~P16(x4831)+E(f39(f39(f28(x4831),x4832),f39(f39(f29(x4831),x4832),x4833)),x4832) % 2.19/2.12 [484]~P19(x4841)+E(f39(f39(f25(x4841),x4842),f39(f39(f21(x4841),x4842),x4843)),x4842) % 2.19/2.12 [485]~P16(x4851)+E(f39(f39(f29(x4851),x4852),f39(f39(f28(x4851),x4852),x4853)),x4852) % 2.19/2.12 [498]~P31(x4981)+E(f5(f39(f39(f23(x4981),x4982),x4983),x4983,x4981),x4982) % 2.19/2.12 [539]~P18(x5391)+E(f39(f39(f21(x5391),x5392),f39(f39(f21(x5391),x5392),x5393)),f39(f39(f21(x5391),x5392),x5393)) % 2.19/2.12 [540]~P19(x5401)+E(f39(f39(f21(x5401),x5402),f39(f39(f21(x5401),x5402),x5403)),f39(f39(f21(x5401),x5402),x5403)) % 2.19/2.12 [541]~P25(x5411)+E(f39(f39(f22(x5411),x5412),f39(f39(f22(x5411),x5412),x5413)),f39(f39(f22(x5411),x5412),x5413)) % 2.19/2.12 [542]~P16(x5421)+E(f39(f39(f28(x5421),x5422),f39(f39(f28(x5421),x5422),x5423)),f39(f39(f28(x5421),x5422),x5423)) % 2.19/2.12 [543]~P17(x5431)+E(f39(f39(f25(x5431),x5432),f39(f39(f25(x5431),x5432),x5433)),f39(f39(f25(x5431),x5432),x5433)) % 2.19/2.12 [544]~P19(x5441)+E(f39(f39(f25(x5441),x5442),f39(f39(f25(x5441),x5442),x5443)),f39(f39(f25(x5441),x5442),x5443)) % 2.19/2.12 [545]~P16(x5451)+E(f39(f39(f29(x5451),x5452),f39(f39(f29(x5451),x5452),x5453)),f39(f39(f29(x5451),x5452),x5453)) % 2.19/2.12 [607]~P8(x6073,x6072,f42(x6071,a1))+E(f39(f39(f21(f42(x6071,a1)),x6072),x6073),x6073) % 2.19/2.12 [608]~P8(x6082,x6083,f42(x6081,a1))+E(f39(f39(f21(f42(x6081,a1)),x6082),x6083),x6082) % 2.19/2.12 [609]~P8(x6092,x6093,f42(x6091,a1))+E(f39(f39(f25(f42(x6091,a1)),x6092),x6093),x6093) % 2.19/2.12 [610]~P8(x6103,x6102,f42(x6101,a1))+E(f39(f39(f25(f42(x6101,a1)),x6102),x6103),x6102) % 2.19/2.12 [618]E(x6181,f4(f42(x6182,a1)))+~E(f39(f39(f25(f42(x6182,a1)),x6183),x6181),f4(f42(x6182,a1))) % 2.19/2.12 [619]E(x6191,f4(f42(x6192,a1)))+~E(f39(f39(f25(f42(x6192,a1)),x6191),x6193),f4(f42(x6192,a1))) % 2.19/2.12 [623]P8(x6231,x6232,f42(x6233,a1))+~E(f39(f39(f25(f42(x6233,a1)),x6231),x6232),x6232) % 2.19/2.12 [666]~P6(x6663,x6661)+P6(f39(f39(f21(f42(x6661,a1)),x6662),x6663),x6661) % 2.19/2.12 [667]~P6(x6672,x6671)+P6(f39(f39(f21(f42(x6671,a1)),x6672),x6673),x6671) % 2.19/2.12 [688]E(f5(x6881,x6882,f42(x6883,a1)),x6881)+~E(f39(f39(f21(f42(x6883,a1)),x6881),x6882),f4(f42(x6883,a1))) % 2.19/2.12 [722]~P33(x7221)+E(f39(f39(f23(x7221),f39(f39(f25(x7221),x7222),x7223)),f39(f39(f21(x7221),x7222),x7223)),f39(f39(f23(x7221),x7222),x7223)) % 2.19/2.12 [766]P6(x7661,x7662)+~P6(f39(f39(f25(f42(x7662,a1)),x7663),x7661),x7662) % 2.19/2.12 [767]P6(x7671,x7672)+~P6(f39(f39(f25(f42(x7672,a1)),x7671),x7673),x7672) % 2.19/2.12 [859]E(x8591,x8592)+~P46(f39(f30(x8591,f4(f42(x8593,a1)),x8593),x8592)) % 2.19/2.12 [893]E(x8931,x8932)+~P46(f37(x8931,f30(x8932,f4(f42(x8933,a1)),x8933),x8933)) % 2.19/2.12 [905]E(x9051,f26(f30(x9052,f4(f42(x9053,a1)),x9053),x9053))+~P46(f39(f30(x9052,f4(f42(x9053,a1)),x9053),x9051)) % 2.19/2.12 [908]~P11(x9083,x9082,x9081)+E(f24(f27(f42(x9081,a1)),f24(f27(f42(x9082,a1)),x9083,x9082,x9081),x9081,x9082),x9083) % 2.19/2.12 [955]~P6(x9551,x9553)+E(f3(f15(f5(x9551,f30(x9552,f4(f42(x9553,a1)),x9553),f42(x9553,a1)),x9553)),f15(f30(x9552,x9551,x9553),x9553)) % 2.19/2.12 [739]~P19(x7391)+E(f39(f39(f39(f21(f42(a40,x7391)),x7392),x7393),a46),f39(f39(f21(x7391),f39(x7392,a46)),f39(x7393,a46))) % 2.19/2.12 [740]~P19(x7401)+E(f39(f39(f39(f25(f42(a40,x7401)),x7402),x7403),a46),f39(f39(f25(x7401),f39(x7402,a46)),f39(x7403,a46))) % 2.19/2.12 [811]~P5(x8113)+E(f13(f30(x8111,f30(x8112,f4(f42(x8113,a1)),x8113),x8113),x8113),f39(f39(f21(x8113),x8111),x8112)) % 2.19/2.12 [812]~P5(x8123)+E(f14(f30(x8121,f30(x8122,f4(f42(x8123,a1)),x8123),x8123),x8123),f39(f39(f25(x8123),x8121),x8122)) % 2.19/2.12 [624]~P8(x6241,x6243,f42(x6244,a1))+P8(x6241,f30(x6242,x6243,x6244),f42(x6244,a1)) % 2.19/2.13 [703]~P8(f30(x7034,x7031,x7033),x7032,f42(x7033,a1))+P8(x7031,x7032,f42(x7033,a1)) % 2.19/2.13 [712]~P8(f30(x7121,x7124,x7123),x7122,f42(x7123,a1))+P46(f37(x7121,x7122,x7123)) % 2.19/2.13 [718]~P8(x7182,x7184,f42(x7183,a1))+P8(f30(x7181,x7182,x7183),f30(x7181,x7184,x7183),f42(x7183,a1)) % 2.19/2.13 [796]~P6(x7962,x7963)+P6(f35(x7961,x7962,x7963,x7964),x7964) % 2.19/2.13 [395]~P12(x3951,x3954)+E(f39(f39(x3951,x3952),x3953),f39(f39(x3951,x3953),x3952)) % 2.19/2.13 [616]~P46(f39(x6162,x6164))+P46(f39(f30(x6161,x6162,x6163),x6164)) % 2.19/2.13 [741]~P46(f37(x7411,x7414,x7413))+E(f5(f30(x7411,x7412,x7413),x7414,f42(x7413,a1)),f5(x7412,x7414,f42(x7413,a1))) % 2.19/2.13 [751]~E(f35(x7513,x7511,x7512,x7514),f4(f42(x7514,a1)))+E(x7511,f4(f42(x7512,a1))) % 2.19/2.13 [769]P46(f37(x7691,x7694,x7692))+E(f36(f6(x7691,x7692,x7693),x7694,x7693,x7692),f4(f42(x7693,a1))) % 2.19/2.13 [771]~P2(x7711)+E(f39(f39(f21(f42(x7711,a1)),f32(x7712,x7713,x7711)),f32(x7713,x7714,x7711)),f4(f42(x7711,a1))) % 2.19/2.13 [772]~P2(x7721)+E(f39(f39(f21(f42(x7721,a1)),f32(x7722,x7723,x7721)),f33(x7723,x7724,x7721)),f4(f42(x7721,a1))) % 2.19/2.13 [773]~P2(x7731)+E(f39(f39(f21(f42(x7731,a1)),f33(x7732,x7733,x7731)),f34(x7733,x7734,x7731)),f4(f42(x7731,a1))) % 2.19/2.13 [774]~P2(x7741)+E(f39(f39(f21(f42(x7741,a1)),f34(x7742,x7743,x7741)),f34(x7743,x7744,x7741)),f4(f42(x7741,a1))) % 2.19/2.13 [776]~P46(f37(x7761,x7763,x7764))+P46(f37(x7761,f30(x7762,x7763,x7764),x7764)) % 2.19/2.13 [803]~P46(f37(x8031,x8034,x8032))+E(f36(f6(x8031,x8032,x8033),x8034,x8033,x8032),f27(f42(x8033,a1))) % 2.19/2.13 [840]~P6(f5(x8401,x8403,f42(x8404,a1)),x8404)+P6(f5(x8401,f30(x8402,x8403,x8404),f42(x8404,a1)),x8404) % 2.19/2.13 [874]~P6(f5(x8741,f30(x8744,x8742,x8743),f42(x8743,a1)),x8743)+P6(f5(x8741,x8742,f42(x8743,a1)),x8743) % 2.19/2.13 [901]~P10(x9011,x9012,x9013,x9014)+E(f15(f35(x9011,x9012,x9013,x9014),x9014),f15(x9012,x9013)) % 2.19/2.13 [930]~P10(x9302,f27(f42(x9301,a1)),x9301,x9303)+E(f39(f24(f27(f42(x9301,a1)),x9302,x9301,x9303),f39(x9302,x9304)),x9304) % 2.19/2.13 [931]~P6(x9312,x9313)+P8(f15(f35(x9311,x9312,x9313,x9314),x9314),f15(x9312,x9313),a41) % 2.19/2.13 [947]~P10(x9471,f27(f42(x9473,a1)),x9473,x9474)+E(f36(x9471,f35(x9471,x9472,x9473,x9474),x9473,x9474),x9472) % 2.19/2.13 [992]~P10(x9922,f27(f42(x9921,a1)),x9921,x9923)+E(f35(f24(f27(f42(x9921,a1)),x9922,x9921,x9923),f35(x9922,x9924,x9921,x9923),x9923,x9921),x9924) % 2.19/2.13 [768]E(x7681,f4(f42(x7682,a1)))+E(f35(f6(x7683,x7684,x7682),x7681,x7682,x7684),f30(x7683,f4(f42(x7684,a1)),x7684)) % 2.19/2.13 [777]P46(f37(x7771,x7774,x7773))+E(f5(f30(x7771,x7772,x7773),x7774,f42(x7773,a1)),f30(x7771,f5(x7772,x7774,f42(x7773,a1)),x7773)) % 2.19/2.13 [876]P46(f37(x8761,x8762,x8763))+~P46(f37(x8761,f5(x8762,x8764,f42(x8763,a1)),x8763)) % 2.19/2.13 [888]~P46(f37(x8881,x8882,x8883))+~P46(f37(x8881,f5(x8884,x8882,f42(x8883,a1)),x8883)) % 2.19/2.13 [648]~P18(x6481)+E(f39(f39(f21(x6481),x6482),f39(f39(f21(x6481),x6483),x6484)),f39(f39(f21(x6481),x6483),f39(f39(f21(x6481),x6482),x6484))) % 2.19/2.13 [649]~P19(x6491)+E(f39(f39(f21(x6491),x6492),f39(f39(f21(x6491),x6493),x6494)),f39(f39(f21(x6491),x6493),f39(f39(f21(x6491),x6492),x6494))) % 2.19/2.13 [650]~P37(x6501)+E(f39(f39(f22(x6501),x6502),f39(f39(f22(x6501),x6503),x6504)),f39(f39(f22(x6501),x6503),f39(f39(f22(x6501),x6502),x6504))) % 2.19/2.13 [651]~P37(x6511)+E(f39(f39(f23(x6511),x6512),f39(f39(f23(x6511),x6513),x6514)),f39(f39(f23(x6511),x6513),f39(f39(f23(x6511),x6512),x6514))) % 2.19/2.13 [652]~P21(x6521)+E(f39(f39(f23(x6521),x6522),f39(f39(f23(x6521),x6523),x6524)),f39(f39(f23(x6521),x6523),f39(f39(f23(x6521),x6522),x6524))) % 2.19/2.13 [653]~P23(x6531)+E(f39(f39(f23(x6531),x6532),f39(f39(f23(x6531),x6533),x6534)),f39(f39(f23(x6531),x6533),f39(f39(f23(x6531),x6532),x6534))) % 2.19/2.13 [654]~P16(x6541)+E(f39(f39(f28(x6541),x6542),f39(f39(f28(x6541),x6543),x6544)),f39(f39(f28(x6541),x6543),f39(f39(f28(x6541),x6542),x6544))) % 2.19/2.13 [655]~P17(x6551)+E(f39(f39(f25(x6551),x6552),f39(f39(f25(x6551),x6553),x6554)),f39(f39(f25(x6551),x6553),f39(f39(f25(x6551),x6552),x6554))) % 2.19/2.13 [656]~P19(x6561)+E(f39(f39(f25(x6561),x6562),f39(f39(f25(x6561),x6563),x6564)),f39(f39(f25(x6561),x6563),f39(f39(f25(x6561),x6562),x6564))) % 2.19/2.13 [657]~P16(x6571)+E(f39(f39(f29(x6571),x6572),f39(f39(f29(x6571),x6573),x6574)),f39(f39(f29(x6571),x6573),f39(f39(f29(x6571),x6572),x6574))) % 2.19/2.13 [778]P46(f37(x7783,x7782,x7781))+E(f39(f39(f21(f42(x7781,a1)),x7782),f30(x7783,x7784,x7781)),f39(f39(f21(f42(x7781,a1)),x7782),x7784)) % 2.19/2.13 [784]~P20(x7841)+E(f39(f39(f25(x7841),f39(f39(f21(x7841),x7842),x7843)),f39(f39(f21(x7841),x7842),x7844)),f39(f39(f21(x7841),x7842),f39(f39(f25(x7841),x7843),x7844))) % 2.19/2.13 [785]~P37(x7851)+E(f39(f39(f23(x7851),f39(f39(f22(x7851),x7852),x7853)),f39(f39(f22(x7851),x7852),x7854)),f39(f39(f22(x7851),x7852),f39(f39(f23(x7851),x7853),x7854))) % 2.19/2.13 [786]~P33(x7861)+E(f39(f39(f21(x7861),f39(f39(f23(x7861),x7862),x7863)),f39(f39(f23(x7861),x7862),x7864)),f39(f39(f23(x7861),x7862),f39(f39(f21(x7861),x7863),x7864))) % 2.19/2.13 [787]~P34(x7871)+E(f39(f39(f21(x7871),f39(f39(f23(x7871),x7872),x7873)),f39(f39(f23(x7871),x7872),x7874)),f39(f39(f23(x7871),x7872),f39(f39(f21(x7871),x7873),x7874))) % 2.19/2.13 [788]~P33(x7881)+E(f39(f39(f25(x7881),f39(f39(f23(x7881),x7882),x7883)),f39(f39(f23(x7881),x7882),x7884)),f39(f39(f23(x7881),x7882),f39(f39(f25(x7881),x7883),x7884))) % 2.19/2.13 [789]~P35(x7891)+E(f39(f39(f25(x7891),f39(f39(f23(x7891),x7892),x7893)),f39(f39(f23(x7891),x7892),x7894)),f39(f39(f23(x7891),x7892),f39(f39(f25(x7891),x7893),x7894))) % 2.19/2.13 [790]~P16(x7901)+E(f39(f39(f29(x7901),f39(f39(f28(x7901),x7902),x7903)),f39(f39(f28(x7901),x7902),x7904)),f39(f39(f28(x7901),x7902),f39(f39(f29(x7901),x7903),x7904))) % 2.19/2.13 [791]~P20(x7911)+E(f39(f39(f21(x7911),f39(f39(f25(x7911),x7912),x7913)),f39(f39(f25(x7911),x7912),x7914)),f39(f39(f25(x7911),x7912),f39(f39(f21(x7911),x7913),x7914))) % 2.19/2.13 [792]~P16(x7921)+E(f39(f39(f28(x7921),f39(f39(f29(x7921),x7922),x7923)),f39(f39(f29(x7921),x7922),x7924)),f39(f39(f29(x7921),x7922),f39(f39(f28(x7921),x7923),x7924))) % 2.19/2.13 [799]~P32(x7991)+E(f39(f39(f28(x7991),f5(x7992,x7993,x7991)),f5(x7994,x7993,x7991)),f5(f39(f39(f28(x7991),x7992),x7994),x7993,x7991)) % 2.19/2.13 [800]~P32(x8001)+E(f39(f39(f29(x8001),f5(x8002,x8003,x8001)),f5(x8004,x8003,x8001)),f5(f39(f39(f29(x8001),x8002),x8004),x8003,x8001)) % 2.19/2.13 [821]P46(f37(x8212,x8214,x8211))+E(f39(f39(f21(f42(x8211,a1)),f30(x8212,x8213,x8211)),x8214),f39(f39(f21(f42(x8211,a1)),x8213),x8214)) % 2.19/2.13 [843]P8(x8431,x8432,f42(x8433,a1))+~P8(x8431,f39(f39(f21(f42(x8433,a1)),x8434),x8432),f42(x8433,a1)) % 2.19/2.13 [844]P8(x8441,x8442,f42(x8443,a1))+~P8(x8441,f39(f39(f21(f42(x8443,a1)),x8442),x8444),f42(x8443,a1)) % 2.19/2.13 [845]P8(x8451,x8452,f42(x8453,a1))+~P8(f39(f39(f25(f42(x8453,a1)),x8454),x8451),x8452,f42(x8453,a1)) % 2.19/2.13 [846]P8(x8461,x8462,f42(x8463,a1))+~P8(f39(f39(f25(f42(x8463,a1)),x8461),x8464),x8462,f42(x8463,a1)) % 2.19/2.13 [864]~P8(f5(x8641,x8643,f42(x8642,a1)),x8644,f42(x8642,a1))+P8(x8641,f39(f39(f25(f42(x8642,a1)),x8643),x8644),f42(x8642,a1)) % 2.19/2.13 [882]P8(f5(x8821,x8822,f42(x8823,a1)),x8824,f42(x8823,a1))+~P8(x8821,f39(f39(f25(f42(x8823,a1)),x8822),x8824),f42(x8823,a1)) % 2.19/2.13 [917]~P19(x9171)+P8(f39(f39(f25(x9171),x9172),f39(f39(f21(x9171),x9173),x9174)),f39(f39(f21(x9171),f39(f39(f25(x9171),x9172),x9173)),f39(f39(f25(x9171),x9172),x9174)),x9171) % 2.19/2.13 [918]~P16(x9181)+P8(f39(f39(f29(x9181),x9182),f39(f39(f28(x9181),x9183),x9184)),f39(f39(f28(x9181),f39(f39(f29(x9181),x9182),x9183)),f39(f39(f29(x9181),x9182),x9184)),x9181) % 2.19/2.13 [919]~P19(x9191)+P8(f39(f39(f25(x9191),f39(f39(f21(x9191),x9192),x9193)),f39(f39(f21(x9191),x9192),x9194)),f39(f39(f21(x9191),x9192),f39(f39(f25(x9191),x9193),x9194)),x9191) % 2.19/2.13 [920]~P16(x9201)+P8(f39(f39(f29(x9201),f39(f39(f28(x9201),x9202),x9203)),f39(f39(f28(x9201),x9202),x9204)),f39(f39(f28(x9201),x9202),f39(f39(f29(x9201),x9203),x9204)),x9201) % 2.19/2.13 [937]~P11(x9372,x9371,x9373)+E(f35(f24(f27(f42(x9371,a1)),x9372,x9371,x9373),x9374,x9373,x9371),f36(x9372,x9374,x9371,x9373)) % 2.19/2.13 [727]~P18(x7271)+E(f39(f39(f21(x7271),f39(f39(f21(x7271),x7272),x7273)),x7274),f39(f39(f21(x7271),x7272),f39(f39(f21(x7271),x7273),x7274))) % 2.19/2.13 [728]~P19(x7281)+E(f39(f39(f21(x7281),f39(f39(f21(x7281),x7282),x7283)),x7284),f39(f39(f21(x7281),x7282),f39(f39(f21(x7281),x7283),x7284))) % 2.19/2.13 [729]~P37(x7291)+E(f39(f39(f22(x7291),f39(f39(f22(x7291),x7292),x7293)),x7294),f39(f39(f22(x7291),x7292),f39(f39(f22(x7291),x7293),x7294))) % 2.19/2.13 [730]~P24(x7301)+E(f39(f39(f22(x7301),f39(f39(f22(x7301),x7302),x7303)),x7304),f39(f39(f22(x7301),x7302),f39(f39(f22(x7301),x7303),x7304))) % 2.19/2.13 [731]~P37(x7311)+E(f39(f39(f23(x7311),f39(f39(f23(x7311),x7312),x7313)),x7314),f39(f39(f23(x7311),x7312),f39(f39(f23(x7311),x7313),x7314))) % 2.19/2.13 [732]~P21(x7321)+E(f39(f39(f23(x7321),f39(f39(f23(x7321),x7322),x7323)),x7324),f39(f39(f23(x7321),x7322),f39(f39(f23(x7321),x7323),x7324))) % 2.19/2.13 [733]~P22(x7331)+E(f39(f39(f23(x7331),f39(f39(f23(x7331),x7332),x7333)),x7334),f39(f39(f23(x7331),x7332),f39(f39(f23(x7331),x7333),x7334))) % 2.19/2.13 [734]~P16(x7341)+E(f39(f39(f28(x7341),f39(f39(f28(x7341),x7342),x7343)),x7344),f39(f39(f28(x7341),x7342),f39(f39(f28(x7341),x7343),x7344))) % 2.19/2.13 [735]~P17(x7351)+E(f39(f39(f25(x7351),f39(f39(f25(x7351),x7352),x7353)),x7354),f39(f39(f25(x7351),x7352),f39(f39(f25(x7351),x7353),x7354))) % 2.19/2.13 [736]~P19(x7361)+E(f39(f39(f25(x7361),f39(f39(f25(x7361),x7362),x7363)),x7364),f39(f39(f25(x7361),x7362),f39(f39(f25(x7361),x7363),x7364))) % 2.19/2.13 [737]~P16(x7371)+E(f39(f39(f29(x7371),f39(f39(f29(x7371),x7372),x7373)),x7374),f39(f39(f29(x7371),x7372),f39(f39(f29(x7371),x7373),x7374))) % 2.19/2.13 [782]~P37(x7821)+E(f39(f39(f22(x7821),f39(f39(f22(x7821),x7822),x7823)),x7824),f39(f39(f22(x7821),f39(f39(f22(x7821),x7822),x7824)),x7823)) % 2.19/2.13 [783]~P37(x7831)+E(f39(f39(f23(x7831),f39(f39(f23(x7831),x7832),x7833)),x7834),f39(f39(f23(x7831),f39(f39(f23(x7831),x7832),x7834)),x7833)) % 2.19/2.13 [824]~P20(x8241)+E(f39(f39(f25(x8241),f39(f39(f21(x8241),x8242),x8243)),f39(f39(f21(x8241),x8244),x8243)),f39(f39(f21(x8241),f39(f39(f25(x8241),x8242),x8244)),x8243)) % 2.19/2.13 [826]~P38(x8261)+E(f39(f39(f23(x8261),f39(f39(f22(x8261),x8262),x8263)),f39(f39(f22(x8261),x8264),x8263)),f39(f39(f22(x8261),f39(f39(f23(x8261),x8262),x8264)),x8263)) % 2.19/2.13 [827]~P33(x8271)+E(f39(f39(f21(x8271),f39(f39(f23(x8271),x8272),x8273)),f39(f39(f23(x8271),x8274),x8273)),f39(f39(f23(x8271),f39(f39(f21(x8271),x8272),x8274)),x8273)) % 2.19/2.13 [828]~P34(x8281)+E(f39(f39(f21(x8281),f39(f39(f23(x8281),x8282),x8283)),f39(f39(f23(x8281),x8284),x8283)),f39(f39(f23(x8281),f39(f39(f21(x8281),x8282),x8284)),x8283)) % 2.19/2.13 [829]~P29(x8291)+E(f39(f39(f28(x8291),f39(f39(f23(x8291),x8292),x8293)),f39(f39(f23(x8291),x8294),x8293)),f39(f39(f23(x8291),f39(f39(f28(x8291),x8292),x8294)),x8293)) % 2.19/2.13 [830]~P33(x8301)+E(f39(f39(f25(x8301),f39(f39(f23(x8301),x8302),x8303)),f39(f39(f23(x8301),x8304),x8303)),f39(f39(f23(x8301),f39(f39(f25(x8301),x8302),x8304)),x8303)) % 2.19/2.13 [831]~P35(x8311)+E(f39(f39(f25(x8311),f39(f39(f23(x8311),x8312),x8313)),f39(f39(f23(x8311),x8314),x8313)),f39(f39(f23(x8311),f39(f39(f25(x8311),x8312),x8314)),x8313)) % 2.19/2.13 [832]~P29(x8321)+E(f39(f39(f29(x8321),f39(f39(f23(x8321),x8322),x8323)),f39(f39(f23(x8321),x8324),x8323)),f39(f39(f23(x8321),f39(f39(f29(x8321),x8322),x8324)),x8323)) % 2.19/2.13 [833]~P16(x8331)+E(f39(f39(f29(x8331),f39(f39(f28(x8331),x8332),x8333)),f39(f39(f28(x8331),x8334),x8333)),f39(f39(f28(x8331),f39(f39(f29(x8331),x8332),x8334)),x8333)) % 2.19/2.13 [834]~P20(x8341)+E(f39(f39(f21(x8341),f39(f39(f25(x8341),x8342),x8343)),f39(f39(f25(x8341),x8344),x8343)),f39(f39(f25(x8341),f39(f39(f21(x8341),x8342),x8344)),x8343)) % 2.19/2.13 [835]~P16(x8351)+E(f39(f39(f28(x8351),f39(f39(f29(x8351),x8352),x8353)),f39(f39(f29(x8351),x8354),x8353)),f39(f39(f29(x8351),f39(f39(f28(x8351),x8352),x8354)),x8353)) % 2.19/2.13 [836]~P37(x8361)+E(f39(f39(f23(x8361),f39(f39(f22(x8361),x8362),x8363)),f39(f39(f22(x8361),x8364),x8363)),f39(f39(f22(x8361),f39(f39(f23(x8361),x8362),x8364)),x8363)) % 2.19/2.13 [847]~P46(f39(x8473,x8474))+P46(f39(f39(f39(f25(f42(x8471,a1)),x8472),x8473),x8474)) % 2.19/2.13 [848]~P46(f39(x8482,x8484))+P46(f39(f39(f39(f25(f42(x8481,a1)),x8482),x8483),x8484)) % 2.19/2.13 [875]~P46(f37(x8751,x8753,x8752))+E(f30(x8751,f39(f39(f21(f42(x8752,a1)),x8753),x8754),x8752),f39(f39(f21(f42(x8752,a1)),x8753),f30(x8751,x8754,x8752))) % 2.19/2.13 [894]~P46(f37(x8941,x8944,x8942))+P46(f37(x8941,f39(f39(f25(f42(x8942,a1)),x8943),x8944),x8942)) % 2.19/2.13 [895]~P46(f37(x8951,x8953,x8952))+P46(f37(x8951,f39(f39(f25(f42(x8952,a1)),x8953),x8954),x8952)) % 2.19/2.13 [896]~P46(f37(x8961,x8964,x8962))+E(f30(x8961,f39(f39(f21(f42(x8962,a1)),x8963),x8964),x8962),f39(f39(f21(f42(x8962,a1)),f30(x8961,x8963,x8962)),x8964)) % 2.19/2.13 [906]P46(f39(x9061,x9062))+~P46(f39(f39(f39(f21(f42(x9063,a1)),x9064),x9061),x9062)) % 2.19/2.13 [907]P46(f39(x9071,x9072))+~P46(f39(f39(f39(f21(f42(x9073,a1)),x9071),x9074),x9072)) % 2.19/2.13 [927]P46(f39(x9271,x9272))+~P46(f37(x9272,f39(f39(f21(f42(x9273,a1)),x9274),x9271),x9273)) % 2.19/2.13 [939]P46(f37(x9391,x9392,x9393))+~P46(f37(x9391,f39(f39(f21(f42(x9393,a1)),x9394),x9392),x9393)) % 2.19/2.13 [941]P46(f37(x9411,x9412,x9413))+~P46(f37(x9411,f39(f39(f21(f42(x9413,a1)),x9412),x9414),x9413)) % 2.19/2.13 [988]E(x9881,x9882)+~P46(f39(f10(x9883,f30(x9881,f4(f42(x9884,a1)),x9884),x9884),x9882)) % 2.19/2.13 [952]~P8(x9524,x9522,f42(x9521,a1))+E(f39(f39(f25(f42(x9521,a1)),f39(f39(f21(f42(x9521,a1)),x9522),x9523)),x9524),f39(f39(f21(f42(x9521,a1)),x9522),f39(f39(f25(f42(x9521,a1)),x9523),x9524))) % 2.19/2.13 [994]P8(x9941,x9942,f42(x9943,a1))+~E(f39(f39(f25(f42(x9943,a1)),f39(f39(f21(f42(x9943,a1)),x9942),x9944)),x9941),f39(f39(f21(f42(x9943,a1)),x9942),f39(f39(f25(f42(x9943,a1)),x9944),x9941))) % 2.19/2.13 [884]P10(x8841,x8842,x8843,x8844)+~P10(x8841,f30(x8845,x8842,x8843),x8843,x8844) % 2.19/2.13 [943]~P8(x9432,x9435,f42(x9433,a1))+P8(f35(x9431,x9432,x9433,x9434),f35(x9431,x9435,x9433,x9434),f42(x9434,a1)) % 2.19/2.13 [944]~P8(x9442,x9445,f42(x9444,a1))+P8(f36(x9441,x9442,x9443,x9444),f36(x9441,x9445,x9443,x9444),f42(x9443,a1)) % 2.19/2.13 [985]P10(f24(x9851,x9852,x9853,x9854),x9855,x9854,x9853)+~P8(x9855,f35(x9852,x9851,x9853,x9854),f42(x9854,a1)) % 2.19/2.13 [997]~E(f16(x9971,x9972,x9973,x9974,x9975),x9971)+E(f39(x9971,x9972),x9973) % 2.19/2.13 [881]~P10(x8811,x8812,x8814,x8815)+P10(x8811,f5(x8812,x8813,f42(x8814,a1)),x8814,x8815) % 2.19/2.13 [886]P8(f39(x8861,x8862),f12(x8863,x8861,x8864,f42(x8865,a1)),f42(x8865,a1))+~P46(f37(x8862,x8863,x8864)) % 2.19/2.13 [910]~P46(f37(x9102,x9103,x9104))+E(f30(f39(x9101,x9102),f35(x9101,x9103,x9104,x9105),x9105),f35(x9101,x9103,x9104,x9105)) % 2.19/2.13 [933]~P46(f39(x9332,f39(x9331,x9335)))+P46(f39(f36(x9331,x9332,x9333,x9334),x9335)) % 2.19/2.13 [959]~P46(f37(x9592,x9593,x9594))+P46(f37(f39(x9591,x9592),f35(x9591,x9593,x9594,x9595),x9595)) % 2.19/2.13 [963]~P46(f37(f39(x9632,x9631),x9633,x9635))+P46(f37(x9631,f36(x9632,x9633,x9634,x9635),x9634)) % 2.19/2.13 [987]P46(f39(x9871,f39(x9872,x9873)))+~P46(f39(f36(x9872,x9871,x9874,x9875),x9873)) % 2.19/2.13 [996]~P46(f37(x9962,f36(x9961,x9963,x9965,x9964),x9965))+P46(f37(f39(x9961,x9962),x9963,x9964)) % 2.19/2.13 [1033]E(f39(x10331,f7(x10332,x10333,x10331,x10334,x10335)),x10333)+~P46(f37(x10333,f35(x10331,x10332,x10334,x10335),x10335)) % 2.19/2.13 [1034]E(f39(x10341,f8(x10342,x10341,x10343,x10344,x10345)),x10343)+~P46(f37(x10343,f35(x10341,x10342,x10344,x10345),x10345)) % 2.19/2.13 [1047]E(f35(x10471,x10472,x10473,x10474),f35(x10475,x10472,x10473,x10474))+P46(f37(f9(x10472,x10471,x10475,x10473,x10474),x10472,x10473)) % 2.19/2.13 [1049]~P46(f37(x10492,f35(x10493,x10491,x10494,x10495),x10495))+P46(f37(f7(x10491,x10492,x10493,x10494,x10495),x10491,x10494)) % 2.19/2.13 [1050]~P46(f37(x10503,f35(x10502,x10501,x10504,x10505),x10505))+P46(f37(f8(x10501,x10502,x10503,x10504,x10505),x10501,x10504)) % 2.19/2.13 [1057]E(f35(x10571,x10572,x10573,x10574),f35(x10575,x10572,x10573,x10574))+~E(f39(x10571,f9(x10572,x10571,x10575,x10573,x10574)),f39(x10575,f9(x10572,x10571,x10575,x10573,x10574))) % 2.19/2.13 [602]~P12(x6021,x6025)+E(f39(f39(x6021,x6022),f39(f39(x6021,x6023),x6024)),f39(f39(x6021,x6023),f39(f39(x6021,x6022),x6024))) % 2.19/2.13 [839]~P46(f37(x8395,x8394,x8393))+E(f35(f6(x8391,x8392,x8393),x8394,x8393,x8392),f30(x8391,f4(f42(x8392,a1)),x8392)) % 2.19/2.13 [938]~P46(f37(x9383,x9384,x9385))+E(f39(f39(f25(f42(x9381,a1)),f39(x9382,x9383)),f12(x9384,x9382,x9385,f42(x9381,a1))),f12(x9384,x9382,x9385,f42(x9381,a1))) % 2.19/2.13 [1000]~P10(x10001,f27(f42(x10003,a1)),x10003,x10004)+E(f5(f35(x10001,x10002,x10003,x10004),f35(x10001,x10005,x10003,x10004),f42(x10004,a1)),f35(x10001,f5(x10002,x10005,f42(x10003,a1)),x10003,x10004)) % 2.19/2.13 [1021]E(f39(x10211,f39(f24(x10212,x10211,x10213,x10214),x10215)),x10215)+~P46(f37(x10215,f35(x10211,x10212,x10213,x10214),x10214)) % 2.19/2.13 [1026]~P46(f37(x10265,f35(x10262,x10261,x10263,x10264),x10264))+P46(f37(f39(f24(x10261,x10262,x10263,x10264),x10265),x10261,x10263)) % 2.19/2.13 [669]~P12(x6691,x6695)+E(f39(f39(x6691,f39(f39(x6691,x6692),x6693)),x6694),f39(f39(x6691,x6692),f39(f39(x6691,x6693),x6694))) % 2.19/2.13 [862]~P37(x8621)+E(f39(f39(f22(x8621),f39(f39(f22(x8621),x8622),x8623)),f39(f39(f22(x8621),x8624),x8625)),f39(f39(f22(x8621),f39(f39(f22(x8621),x8622),x8624)),f39(f39(f22(x8621),x8623),x8625))) % 2.19/2.13 [863]~P37(x8631)+E(f39(f39(f23(x8631),f39(f39(f23(x8631),x8632),x8633)),f39(f39(f23(x8631),x8634),x8635)),f39(f39(f23(x8631),f39(f39(f23(x8631),x8632),x8634)),f39(f39(f23(x8631),x8633),x8635))) % 2.19/2.13 [865]~P16(x8651)+E(f32(f39(f39(f29(x8651),x8652),x8653),f39(f39(f28(x8651),x8654),x8655),x8651),f39(f39(f21(f42(x8651,a1)),f32(x8652,x8654,x8651)),f32(x8653,x8655,x8651))) % 2.19/2.13 [866]~P16(x8661)+E(f33(f39(f39(f29(x8661),x8662),x8663),f39(f39(f28(x8661),x8664),x8665),x8661),f39(f39(f21(f42(x8661,a1)),f33(x8662,x8664,x8661)),f33(x8663,x8665,x8661))) % 2.19/2.13 [867]~P16(x8671)+E(f34(f39(f39(f29(x8671),x8672),x8673),f39(f39(f28(x8671),x8674),x8675),x8671),f39(f39(f21(f42(x8671,a1)),f34(x8672,x8674,x8671)),f34(x8673,x8675,x8671))) % 2.19/2.13 [921]P10(x9211,x9212,x9213,x9214)+~P10(x9211,f39(f39(f25(f42(x9213,a1)),x9215),x9212),x9213,x9214) % 2.19/2.13 [922]P10(x9221,x9222,x9223,x9224)+~P10(x9221,f39(f39(f25(f42(x9223,a1)),x9222),x9225),x9223,x9224) % 2.19/2.13 [1025]~P10(x10252,f39(f39(f25(f42(x10255,a1)),x10253),x10254),x10255,x10251)+E(f39(f39(f21(f42(x10251,a1)),f35(x10252,f5(x10253,x10254,f42(x10255,a1)),x10255,x10251)),f35(x10252,f5(x10254,x10253,f42(x10255,a1)),x10255,x10251)),f4(f42(x10251,a1))) % 2.19/2.13 [1048]~P10(x10481,f30(x10482,x10483,x10484),x10484,x10485)+~P46(f37(f39(x10481,x10482),f35(x10481,f5(x10483,f30(x10482,f4(f42(x10484,a1)),x10484),f42(x10484,a1)),x10484,x10485),x10485)) % 2.19/2.13 [1056]E(x10561,x10562)+~P46(f39(f17(x10563,x10562,f4(f42(x10564,a1)),x10564,x10565),x10561)) % 2.19/2.13 [1014]~P10(x10142,f27(f42(x10144,a1)),x10144,x10141)+E(f39(f39(f21(f42(x10141,a1)),f35(x10142,x10143,x10144,x10141)),f35(x10142,x10145,x10144,x10141)),f35(x10142,f39(f39(f21(f42(x10144,a1)),x10143),x10145),x10144,x10141)) % 2.19/2.13 [1024]E(f39(x10241,x10242),x10243)+~P46(f37(x10242,f36(x10241,f30(x10243,f4(f42(x10244,a1)),x10244),x10245,x10244),x10245)) % 2.19/2.13 [1020]~P44(x10201)+E(f39(f39(f23(x10201),f39(f39(f22(x10201),x10202),x10203)),f39(f39(f23(x10201),f39(f39(f22(x10201),f5(x10204,x10202,x10201)),x10203)),x10205)),f39(f39(f23(x10201),f39(f39(f22(x10201),x10204),x10203)),x10205)) % 2.19/2.13 [993]~P40(x9931)+E(f39(f39(f23(x9931),f39(f39(f22(x9931),x9932),x9933)),f39(f39(f23(x9931),f39(f39(f22(x9931),x9934),x9933)),x9935)),f39(f39(f23(x9931),f39(f39(f22(x9931),f39(f39(f23(x9931),x9932),x9934)),x9933)),x9935)) % 2.19/2.13 [1008]E(x10081,x10082)+E(f39(f16(x10083,x10081,x10084,x10085,x10086),x10082),f39(x10083,x10082)) % 2.19/2.13 [1023]P46(f37(x10232,x10236,x10234))+E(f35(f16(x10231,x10232,x10233,x10234,x10235),x10236,x10234,x10235),f35(x10231,x10236,x10234,x10235)) % 2.19/2.13 [1055]P6(x10551,x10552)+~P46(f39(f17(x10553,x10554,x10551,x10552,x10555),x10556)) % 2.19/2.13 [1036]~P46(f37(x10364,x10363,x10365))+E(f30(x10361,f35(x10362,f5(x10363,f30(x10364,f4(f42(x10365,a1)),x10365),f42(x10365,a1)),x10365,x10366),x10366),f35(f16(x10362,x10364,x10361,x10365,x10366),x10363,x10365,x10366)) % 2.19/2.13 [1051]E(x10511,x10512)+E(f16(f16(x10513,x10511,x10514,x10515,x10516),x10512,x10517,x10515,x10516),f16(f16(x10513,x10512,x10517,x10515,x10516),x10511,x10514,x10515,x10516)) % 2.19/2.13 [1067]~P7(x10674,x10671,x10675,x10676,x10677,x10678,x10673,x10679,x10672)+E(f39(x10671,f4(f42(x10672,a1))),x10673) % 2.19/2.13 [1068]~P7(x10681,x10684,x10685,x10686,x10687,x10688,x10689,x10683,x10682)+E(f39(x10681,f4(f42(x10682,a1))),x10683) % 2.19/2.13 [1069]~P7(x10694,x10691,x10695,x10696,x10697,x10698,x10699,x10693,x10692)+E(f39(x10691,f27(f42(x10692,a1))),x10693) % 2.19/2.13 [1070]~P7(x10701,x10704,x10705,x10706,x10707,x10708,x10703,x10709,x10702)+E(f39(x10701,f27(f42(x10702,a1))),x10703) % 2.19/2.13 [1073]~P7(x10734,x10731,x10735,x10736,x10737,x10738,x10739,x107310,x10733)+E(f39(x10731,f30(x10732,f4(f42(x10733,a1)),x10733)),x10732) % 2.19/2.13 [1074]~P7(x10741,x10744,x10745,x10746,x10747,x10748,x10749,x107410,x10743)+E(f39(x10741,f30(x10742,f4(f42(x10743,a1)),x10743)),x10742) % 2.19/2.13 [1071]~P7(x10716,x10711,x10717,x10718,x10719,x10715,x107110,x107111,x10714)+E(f39(x10711,f30(x10712,x10713,x10714)),f39(f39(x10715,x10712),f39(x10711,x10713))) % 2.19/2.13 [1072]~P7(x10721,x10726,x10727,x10728,x10725,x10729,x107210,x107211,x10724)+E(f39(x10721,f30(x10722,x10723,x10724)),f39(f39(x10725,x10722),f39(x10721,x10723))) % 2.19/2.13 [1077]~P7(x10776,x10771,x10777,x10778,x10779,x10775,x107710,x107711,x10774)+E(f39(x10771,f30(x10772,f30(x10773,f4(f42(x10774,a1)),x10774),x10774)),f39(f39(x10775,x10772),x10773)) % 2.19/2.13 [1078]~P7(x10781,x10786,x10787,x10788,x10785,x10789,x107810,x107811,x10784)+E(f39(x10781,f30(x10782,f30(x10783,f4(f42(x10784,a1)),x10784),x10784)),f39(f39(x10785,x10782),x10783)) % 2.19/2.13 [345]~P16(x3451)+~P18(x3451)+E(f28(x3451),f21(x3451)) % 2.19/2.13 [346]~P16(x3461)+~P17(x3461)+E(f29(x3461),f25(x3461)) % 2.19/2.13 [398]E(x3981,x3982)+P9(x3982,x3981,a41)+P9(x3981,x3982,a41) % 2.19/2.13 [427]E(x4271,x4272)+P9(x4271,x4272,a41)+~P8(x4271,x4272,a41) % 2.19/2.13 [500]E(x5001,x5002)+~P8(x5002,x5001,a41)+~P8(x5001,x5002,a41) % 2.19/2.13 [361]~P14(x3612)+~P14(x3611)+P14(f42(x3611,x3612)) % 2.19/2.13 [460]~P9(x4601,x4602,a41)+E(f3(x4601),x4602)+P9(f3(x4601),x4602,a41) % 2.19/2.13 [461]E(x4611,x4612)+P9(x4612,x4611,a41)+~P9(x4612,f3(x4611),a41) % 2.19/2.13 [463]E(x4631,x4632)+P9(x4631,x4632,a41)+~P9(x4631,f3(x4632),a41) % 2.19/2.13 [475]P8(x4751,x4752,a41)+E(x4751,f3(x4752))+~P8(x4751,f3(x4752),a41) % 2.19/2.13 [509]E(x5091,x5092)+~P8(x5092,x5091,a41)+~P9(x5091,f3(x5092),a41) % 2.19/2.13 [601]E(x6011,f27(f42(x6012,a1)))+~P6(f27(f42(x6012,a1)),x6012)+~E(f15(x6011,x6012),f15(f27(f42(x6012,a1)),x6012)) % 2.19/2.13 [1009]~P5(x10091)+~P6(x10092,x10091)+E(f38(f17(f21(x10091),f27(x10091),x10092,x10091,x10091),x10091),f13(x10092,x10091)) % 2.19/2.13 [1010]~P5(x10101)+~P6(x10102,x10101)+E(f38(f17(f25(x10101),f4(x10101),x10102,x10101,x10101),x10101),f14(x10102,x10101)) % 2.19/2.13 [978]~P47(x9782)+P46(f37(f49(x9781,a45,a43,a47),a43,a2))+P46(f39(f39(a45,x9781),f30(f48(x9782),f4(f42(a40,a1)),a40))) % 2.19/2.13 [1052]~P47(x10522)+~P46(f39(f39(a45,x10521),f30(f39(a47,f49(x10521,a45,a43,a47)),f4(f42(a40,a1)),a40)))+P46(f39(f39(a45,x10521),f30(f48(x10522),f4(f42(a40,a1)),a40))) % 2.19/2.13 [415]P8(x4152,x4151,x4153)+~P16(x4153)+P9(x4151,x4152,x4153) % 2.19/2.13 [417]P8(x4172,x4171,x4173)+~P16(x4173)+P8(x4171,x4172,x4173) % 2.19/2.13 [458]~P1(x4583)+~P9(x4581,x4582,x4583)+P8(x4581,x4582,x4583) % 2.19/2.13 [459]~P2(x4593)+~P9(x4591,x4592,x4593)+P8(x4591,x4592,x4593) % 2.19/2.13 [511]~P9(x5113,x5112,x5111)+~P1(x5111)+~P9(x5112,x5113,x5111) % 2.19/2.13 [512]~P8(x5123,x5122,x5121)+~P1(x5121)+~P9(x5122,x5123,x5121) % 2.19/2.13 [513]~P9(x5133,x5132,x5131)+~P2(x5131)+~P9(x5132,x5133,x5131) % 2.19/2.13 [514]~P9(x5143,x5142,x5141)+~P16(x5141)+~P9(x5142,x5143,x5141) % 2.19/2.13 [516]~P8(x5163,x5162,x5161)+~P16(x5161)+~P9(x5162,x5163,x5161) % 2.19/2.13 [547]~P8(x5471,x5473,a41)+P8(x5471,x5472,a41)+~P8(x5473,x5472,a41) % 2.19/2.13 [481]P6(x4811,x4812)+~P6(x4813,x4812)+~P8(x4811,x4813,f42(x4812,a1)) % 2.19/2.13 [531]E(x5311,x5312)+~P8(x5311,x5312,f42(x5313,a1))+P9(x5311,x5312,f42(x5313,a1)) % 2.19/2.13 [554]~P9(x5541,x5543,a41)+~P9(x5543,x5542,a41)+P9(f3(x5541),x5542,a41) % 2.19/2.13 [574]E(x5741,x5742)+~P8(x5741,x5742,f42(x5743,a1))+~P8(x5742,x5741,f42(x5743,a1)) % 2.19/2.13 [575]~P6(x5753,x5752)+~P9(x5751,x5753,f42(x5752,a1))+P9(f15(x5751,x5752),f15(x5753,x5752),a41) % 2.19/2.13 [576]~P6(x5763,x5762)+~P8(x5761,x5763,f42(x5762,a1))+P8(f15(x5761,x5762),f15(x5763,x5762),a41) % 2.19/2.13 [605]~P5(x6053)+P8(x6051,f14(x6052,x6053),x6053)+~P46(f37(x6051,x6052,x6053)) % 2.19/2.13 [606]~P5(x6062)+P8(f13(x6061,x6062),x6063,x6062)+~P46(f37(x6063,x6061,x6062)) % 2.19/2.13 [936]~P6(x9362,x9363)+P10(x9361,x9362,x9363,x9363)+~P8(x9362,f35(x9361,x9362,x9363,x9363),f42(x9363,a1)) % 2.19/2.13 [434]P9(x4341,x4342,x4343)+~P2(x4343)+E(f32(x4341,x4342,x4343),f4(f42(x4343,a1))) % 2.19/2.13 [435]P8(x4351,x4352,x4353)+~P2(x4353)+E(f33(x4351,x4352,x4353),f4(f42(x4353,a1))) % 2.19/2.13 [436]P9(x4361,x4362,x4363)+~P2(x4363)+E(f34(x4361,x4362,x4363),f4(f42(x4363,a1))) % 2.19/2.13 [437]P9(x4372,x4373,x4371)+~P2(x4371)+E(f4(f42(x4371,a1)),f32(x4372,x4373,x4371)) % 2.19/2.13 [438]P8(x4382,x4383,x4381)+~P2(x4381)+E(f4(f42(x4381,a1)),f33(x4382,x4383,x4381)) % 2.19/2.13 [439]P9(x4392,x4393,x4391)+~P2(x4391)+E(f4(f42(x4391,a1)),f34(x4392,x4393,x4391)) % 2.19/2.13 [504]~P2(x5043)+~P8(x5042,x5041,x5043)+E(f32(x5041,x5042,x5043),f4(f42(x5043,a1))) % 2.19/2.13 [505]~P2(x5053)+~P9(x5052,x5051,x5053)+E(f33(x5051,x5052,x5053),f4(f42(x5053,a1))) % 2.19/2.13 [506]~P2(x5063)+~P8(x5062,x5061,x5063)+E(f34(x5061,x5062,x5063),f4(f42(x5063,a1))) % 2.19/2.13 [548]~P2(x5483)+~P9(x5481,x5482,x5483)+~E(f32(x5481,x5482,x5483),f4(f42(x5483,a1))) % 2.19/2.13 [549]~P2(x5493)+~P8(x5491,x5492,x5493)+~E(f33(x5491,x5492,x5493),f4(f42(x5493,a1))) % 2.19/2.13 [550]~P2(x5503)+~P9(x5501,x5502,x5503)+~E(f34(x5501,x5502,x5503),f4(f42(x5503,a1))) % 2.19/2.13 [551]~P2(x5511)+~P9(x5512,x5513,x5511)+~E(f4(f42(x5511,a1)),f32(x5512,x5513,x5511)) % 2.19/2.13 [552]~P2(x5521)+~P8(x5522,x5523,x5521)+~E(f4(f42(x5521,a1)),f33(x5522,x5523,x5521)) % 2.19/2.13 [553]~P2(x5531)+~P9(x5532,x5533,x5531)+~E(f4(f42(x5531,a1)),f34(x5532,x5533,x5531)) % 2.19/2.13 [615]~P6(x6152,x6153)+P46(f37(x6151,x6152,x6153))+E(f15(f30(x6151,x6152,x6153),x6153),f3(f15(x6152,x6153))) % 2.19/2.13 [622]P6(x6221,x6222)+~P6(x6223,x6222)+~P6(f5(x6221,x6223,f42(x6222,a1)),x6222) % 2.19/2.13 [668]~P6(x6682,x6683)+~P46(f37(x6681,x6682,x6683))+E(f15(f30(x6681,x6682,x6683),x6683),f15(x6682,x6683)) % 2.19/2.13 [887]~P16(x8871)+~P8(x8872,x8873,x8871)+E(f39(f39(f25(f42(x8871,a1)),f30(x8872,f4(f42(x8871,a1)),x8871)),f34(x8872,x8873,x8871)),f33(x8872,x8873,x8871)) % 2.19/2.13 [391]~P3(x3912)+E(x3911,f4(x3912))+~E(f39(f39(f25(x3912),x3913),x3911),f4(x3912)) % 2.19/2.13 [392]~P3(x3922)+E(x3921,f27(x3922))+~E(f39(f39(f21(x3922),x3923),x3921),f27(x3922)) % 2.19/2.13 [393]~P3(x3932)+E(x3931,f4(x3932))+~E(f39(f39(f25(x3932),x3931),x3933),f4(x3932)) % 2.19/2.13 [394]~P3(x3942)+E(x3941,f27(x3942))+~E(f39(f39(f21(x3942),x3941),x3943),f27(x3942)) % 2.19/2.13 [441]~P18(x4413)+P8(x4411,x4412,x4413)+~E(f39(f39(f21(x4413),x4411),x4412),x4411) % 2.19/2.13 [442]~P16(x4423)+P8(x4421,x4422,x4423)+~E(f39(f39(f28(x4423),x4421),x4422),x4421) % 2.19/2.13 [443]~P17(x4433)+P8(x4431,x4432,x4433)+~E(f39(f39(f25(x4433),x4431),x4432),x4432) % 2.19/2.13 [444]~P16(x4443)+P8(x4441,x4442,x4443)+~E(f39(f39(f29(x4443),x4441),x4442),x4442) % 2.19/2.13 [450]~P18(x4501)+~P8(x4503,x4502,x4501)+E(f39(f39(f21(x4501),x4502),x4503),x4503) % 2.19/2.13 [451]~P18(x4511)+~P8(x4512,x4513,x4511)+E(f39(f39(f21(x4511),x4512),x4513),x4512) % 2.19/2.13 [452]~P16(x4521)+~P8(x4523,x4522,x4521)+E(f39(f39(f28(x4521),x4522),x4523),x4523) % 2.19/2.13 [453]~P16(x4531)+~P8(x4532,x4533,x4531)+E(f39(f39(f28(x4531),x4532),x4533),x4532) % 2.19/2.13 [454]~P17(x4541)+~P8(x4542,x4543,x4541)+E(f39(f39(f25(x4541),x4542),x4543),x4543) % 2.19/2.13 [455]~P17(x4551)+~P8(x4553,x4552,x4551)+E(f39(f39(f25(x4551),x4552),x4553),x4552) % 2.19/2.13 [456]~P16(x4561)+~P8(x4562,x4563,x4561)+E(f39(f39(f29(x4561),x4562),x4563),x4563) % 2.19/2.13 [457]~P16(x4571)+~P8(x4573,x4572,x4571)+E(f39(f39(f29(x4571),x4572),x4573),x4572) % 2.19/2.13 [809]~P8(x8091,f30(x8093,f4(f42(x8092,a1)),x8092),f42(x8092,a1))+E(x8091,f4(f42(x8092,a1)))+E(x8091,f30(x8093,f4(f42(x8092,a1)),x8092)) % 2.19/2.13 [870]~P6(x8701,x8703)+P46(f37(x8702,x8701,x8703))+E(f15(f5(x8701,f30(x8702,f4(f42(x8703,a1)),x8703),f42(x8703,a1)),x8703),f15(x8701,x8703)) % 2.19/2.13 [971]~P6(x9711,x9713)+~P46(f37(x9712,x9711,x9713))+P9(f15(f5(x9711,f30(x9712,f4(f42(x9713,a1)),x9713),f42(x9713,a1)),x9713),f15(x9711,x9713),a41) % 2.19/2.13 [1011]~P5(x10111)+~P6(x10113,x10111)+E(f38(f17(f21(x10111),x10112,x10113,x10111,x10111),x10111),f39(f39(f21(x10111),x10112),f13(x10113,x10111))) % 2.19/2.13 [1012]~P5(x10121)+~P6(x10123,x10121)+E(f38(f17(f25(x10121),x10122,x10123,x10121,x10121),x10121),f39(f39(f25(x10121),x10122),f14(x10123,x10121))) % 2.19/2.13 [1013]~P25(x10131)+~P6(x10133,x10131)+E(f38(f17(f22(x10131),x10132,x10133,x10131,x10131),x10131),f39(f11(f22(x10131),x10131),f30(x10132,x10133,x10131))) % 2.19/2.13 [687]~P6(x6873,x6871)+~P6(x6872,x6871)+P6(f39(f39(f25(f42(x6871,a1)),x6872),x6873),x6871) % 2.19/2.13 [860]~P16(x8601)+~P8(x8602,x8603,x8601)+E(f39(f39(f25(f42(x8601,a1)),f32(x8602,x8603,x8601)),f30(x8603,f4(f42(x8601,a1)),x8601)),f33(x8602,x8603,x8601)) % 2.19/2.13 [966]~P6(x9661,x9663)+~P46(f37(x9662,x9661,x9663))+E(f3(f15(f5(x9661,f30(x9662,f4(f42(x9663,a1)),x9663),f42(x9663,a1)),x9663)),f15(x9661,x9663)) % 2.19/2.13 [518]~P23(x5184)+E(x5181,x5182)+~E(f5(x5183,x5183,x5184),f5(x5181,x5182,x5184)) % 2.19/2.13 [519]~P23(x5193)+E(x5191,x5192)+~E(f5(x5191,x5192,x5193),f5(x5194,x5194,x5193)) % 2.19/2.13 [529]~P8(x5293,x5291,f42(x5294,a1))+P46(f39(x5291,x5292))+~P46(f39(x5293,x5292)) % 2.19/2.13 [546]~P4(x5464)+P8(x5461,x5462,f42(x5463,x5464))+~P9(x5461,x5462,f42(x5463,x5464)) % 2.19/2.13 [603]~P4(x6031)+~P9(x6032,x6033,f42(x6034,x6031))+~P8(x6033,x6032,f42(x6034,x6031)) % 2.19/2.13 [662]~P9(x6621,x6624,f42(x6623,a1))+~P9(x6624,x6622,f42(x6623,a1))+P9(x6621,x6622,f42(x6623,a1)) % 2.19/2.13 [663]~P8(x6631,x6634,f42(x6633,a1))+~P9(x6634,x6632,f42(x6633,a1))+P9(x6631,x6632,f42(x6633,a1)) % 2.19/2.13 [664]~P8(x6644,x6642,f42(x6643,a1))+~P9(x6641,x6644,f42(x6643,a1))+P9(x6641,x6642,f42(x6643,a1)) % 2.19/2.13 [665]~P8(x6651,x6654,f42(x6653,a1))+~P8(x6654,x6652,f42(x6653,a1))+P8(x6651,x6652,f42(x6653,a1)) % 2.19/2.13 [713]~P9(x7134,x7132,f42(x7133,a1))+P46(f37(x7131,x7132,x7133))+~P46(f37(x7131,x7134,x7133)) % 2.19/2.13 [717]~P8(x7174,x7172,f42(x7173,a1))+P46(f37(x7171,x7172,x7173))+~P46(f37(x7171,x7174,x7173)) % 2.19/2.13 [761]~P8(x7612,f30(x7611,x7614,x7613),f42(x7613,a1))+P8(x7612,x7614,f42(x7613,a1))+P46(f37(x7611,x7612,x7613)) % 2.19/2.13 [762]~P9(x7621,x7623,f42(x7624,a1))+P9(x7621,f30(x7622,x7623,x7624),f42(x7624,a1))+~P46(f37(x7622,x7623,x7624)) % 2.19/2.13 [763]~P8(x7632,x7634,f42(x7633,a1))+P8(f30(x7631,x7632,x7633),x7634,f42(x7633,a1))+~P46(f37(x7631,x7634,x7633)) % 2.19/2.13 [802]~P9(x8021,f30(x8024,x8022,x8023),f42(x8023,a1))+P9(x8021,x8022,f42(x8023,a1))+~P46(f37(x8024,x8022,x8023)) % 2.19/2.13 [822]~P6(x8222,x8224)+~P11(x8221,x8223,x8224)+P6(f36(x8221,x8222,x8223,x8224),x8223) % 2.19/2.13 [899]P6(x8991,x8992)+~P11(x8993,x8994,x8992)+~P6(f36(x8993,x8991,x8994,x8992),x8994) % 2.19/2.13 [945]P6(x9451,x9452)+~P10(x9453,x9451,x9452,x9454)+~P6(f35(x9453,x9451,x9452,x9454),x9454) % 2.19/2.13 [710]~P5(x7104)+E(f12(x7101,f6(x7103,x7104,x7102),x7102,x7104),x7103)+E(x7101,f4(f42(x7102,a1))) % 2.19/2.13 [719]E(x7191,x7192)+P46(f39(x7193,x7191))+~P46(f39(f30(x7192,x7193,x7194),x7191)) % 2.19/2.13 [742]~P16(x7423)+~P8(x7421,x7424,x7423)+E(f5(f32(x7421,x7422,x7423),f32(x7421,x7424,x7423),f42(x7423,a1)),f32(x7424,x7422,x7423)) % 2.19/2.13 [757]~P8(x7571,x7572,f42(x7574,a1))+~P8(x7573,x7571,f42(x7574,a1))+E(f5(x7571,f5(x7572,x7573,f42(x7574,a1)),f42(x7574,a1)),x7573) % 2.19/2.13 [837]E(x8371,x8372)+P46(f37(x8371,x8373,x8374))+~P46(f37(x8371,f30(x8372,x8373,x8374),x8374)) % 2.19/2.13 [911]~P6(x9112,x9114)+P6(f36(x9111,x9112,x9113,x9114),x9113)+~P10(x9111,f27(f42(x9113,a1)),x9113,x9114) % 2.19/2.13 [923]~P6(x9232,x9233)+P10(x9231,x9232,x9233,x9234)+~E(f15(f35(x9231,x9232,x9233,x9234),x9234),f15(x9232,x9233)) % 2.19/2.13 [932]~P8(x9321,f30(x9322,x9324,x9323),f42(x9323,a1))+P8(f5(x9321,f30(x9322,f4(f42(x9323,a1)),x9323),f42(x9323,a1)),x9324,f42(x9323,a1))+~P46(f37(x9322,x9321,x9323)) % 2.19/2.13 [965]P8(x9651,f30(x9652,x9653,x9654),f42(x9654,a1))+~P8(f5(x9651,f30(x9652,f4(f42(x9654,a1)),x9654),f42(x9654,a1)),x9653,f42(x9654,a1))+~P46(f37(x9652,x9651,x9654)) % 2.19/2.13 [501]~P26(x5013)+E(x5011,x5012)+~E(f39(f39(f23(x5013),x5014),x5011),f39(f39(f23(x5013),x5014),x5012)) % 2.19/2.13 [502]~P27(x5023)+E(x5021,x5022)+~E(f39(f39(f23(x5023),x5024),x5021),f39(f39(f23(x5023),x5024),x5022)) % 2.19/2.13 [503]~P27(x5033)+E(x5031,x5032)+~E(f39(f39(f23(x5033),x5031),x5034),f39(f39(f23(x5033),x5032),x5034)) % 2.19/2.13 [577]~P17(x5772)+~P9(x5771,x5774,x5772)+P9(x5771,f39(f39(f25(x5772),x5773),x5774),x5772) % 2.19/2.13 [578]~P17(x5782)+~P9(x5781,x5783,x5782)+P9(x5781,f39(f39(f25(x5782),x5783),x5784),x5782) % 2.19/2.13 [580]~P16(x5802)+~P9(x5801,x5804,x5802)+P9(x5801,f39(f39(f29(x5802),x5803),x5804),x5802) % 2.19/2.13 [582]~P16(x5822)+~P9(x5821,x5823,x5822)+P9(x5821,f39(f39(f29(x5822),x5823),x5824),x5822) % 2.19/2.13 [583]~P17(x5832)+~P8(x5831,x5834,x5832)+P8(x5831,f39(f39(f25(x5832),x5833),x5834),x5832) % 2.19/2.13 [584]~P17(x5842)+~P8(x5841,x5843,x5842)+P8(x5841,f39(f39(f25(x5842),x5843),x5844),x5842) % 2.19/2.13 [586]~P16(x5862)+~P8(x5861,x5864,x5862)+P8(x5861,f39(f39(f29(x5862),x5863),x5864),x5862) % 2.19/2.13 [588]~P16(x5882)+~P8(x5881,x5883,x5882)+P8(x5881,f39(f39(f29(x5882),x5883),x5884),x5882) % 2.19/2.13 [589]~P18(x5891)+~P9(x5893,x5894,x5891)+P9(f39(f39(f21(x5891),x5892),x5893),x5894,x5891) % 2.19/2.13 [590]~P18(x5901)+~P9(x5902,x5904,x5901)+P9(f39(f39(f21(x5901),x5902),x5903),x5904,x5901) % 2.19/2.13 [592]~P16(x5921)+~P9(x5923,x5924,x5921)+P9(f39(f39(f28(x5921),x5922),x5923),x5924,x5921) % 2.19/2.13 [594]~P16(x5941)+~P9(x5942,x5944,x5941)+P9(f39(f39(f28(x5941),x5942),x5943),x5944,x5941) % 2.19/2.13 [595]~P18(x5951)+~P8(x5953,x5954,x5951)+P8(f39(f39(f21(x5951),x5952),x5953),x5954,x5951) % 2.19/2.13 [596]~P18(x5961)+~P8(x5962,x5964,x5961)+P8(f39(f39(f21(x5961),x5962),x5963),x5964,x5961) % 2.19/2.13 [598]~P16(x5981)+~P8(x5983,x5984,x5981)+P8(f39(f39(f28(x5981),x5982),x5983),x5984,x5981) % 2.19/2.13 [600]~P16(x6001)+~P8(x6002,x6004,x6001)+P8(f39(f39(f28(x6001),x6002),x6003),x6004,x6001) % 2.19/2.13 [625]~P16(x6253)+P9(x6251,x6252,x6253)+~P9(x6251,f39(f39(f28(x6253),x6254),x6252),x6253) % 2.19/2.13 [626]~P16(x6263)+P9(x6261,x6262,x6263)+~P9(x6261,f39(f39(f28(x6263),x6262),x6264),x6263) % 2.19/2.13 [628]~P16(x6283)+P8(x6281,x6282,x6283)+~P8(x6281,f39(f39(f28(x6283),x6284),x6282),x6283) % 2.19/2.13 [630]~P16(x6303)+P8(x6301,x6302,x6303)+~P8(x6301,f39(f39(f28(x6303),x6302),x6304),x6303) % 2.19/2.13 [632]~P18(x6323)+P8(x6321,x6322,x6323)+~P8(x6321,f39(f39(f21(x6323),x6324),x6322),x6323) % 2.19/2.13 [634]~P18(x6343)+P8(x6341,x6342,x6343)+~P8(x6341,f39(f39(f21(x6343),x6342),x6344),x6343) % 2.19/2.13 [635]~P16(x6353)+P9(x6351,x6352,x6353)+~P9(f39(f39(f29(x6353),x6354),x6351),x6352,x6353) % 2.19/2.13 [636]~P16(x6363)+P9(x6361,x6362,x6363)+~P9(f39(f39(f29(x6363),x6361),x6364),x6362,x6363) % 2.19/2.13 [638]~P16(x6383)+P8(x6381,x6382,x6383)+~P8(f39(f39(f29(x6383),x6384),x6381),x6382,x6383) % 2.19/2.13 [640]~P16(x6403)+P8(x6401,x6402,x6403)+~P8(f39(f39(f29(x6403),x6401),x6404),x6402,x6403) % 2.19/2.13 [642]~P17(x6423)+P8(x6421,x6422,x6423)+~P8(f39(f39(f25(x6423),x6424),x6421),x6422,x6423) % 2.19/2.13 [644]~P17(x6443)+P8(x6441,x6442,x6443)+~P8(f39(f39(f25(x6443),x6441),x6444),x6442,x6443) % 2.19/2.13 [689]~P28(x6891)+~P9(x6892,x6894,x6891)+P9(f39(f39(f23(x6891),x6892),x6893),f39(f39(f23(x6891),x6894),x6893),x6891) % 2.19/2.13 [690]~P29(x6901)+~P9(x6902,x6904,x6901)+P9(f39(f39(f23(x6901),x6902),x6903),f39(f39(f23(x6901),x6904),x6903),x6901) % 2.19/2.13 [691]~P28(x6911)+~P9(x6913,x6914,x6911)+P9(f39(f39(f23(x6911),x6912),x6913),f39(f39(f23(x6911),x6912),x6914),x6911) % 2.19/2.13 [692]~P29(x6921)+~P9(x6923,x6924,x6921)+P9(f39(f39(f23(x6921),x6922),x6923),f39(f39(f23(x6921),x6922),x6924),x6921) % 2.19/2.13 [693]~P29(x6931)+~P8(x6932,x6934,x6931)+P8(f39(f39(f23(x6931),x6932),x6933),f39(f39(f23(x6931),x6934),x6933),x6931) % 2.19/2.13 [694]~P30(x6941)+~P8(x6942,x6944,x6941)+P8(f39(f39(f23(x6941),x6942),x6943),f39(f39(f23(x6941),x6944),x6943),x6941) % 2.19/2.13 [695]~P29(x6951)+~P8(x6953,x6954,x6951)+P8(f39(f39(f23(x6951),x6952),x6953),f39(f39(f23(x6951),x6952),x6954),x6951) % 2.19/2.13 [696]~P30(x6961)+~P8(x6963,x6964,x6961)+P8(f39(f39(f23(x6961),x6962),x6963),f39(f39(f23(x6961),x6962),x6964),x6961) % 2.19/2.13 [752]~P29(x7523)+P9(x7521,x7522,x7523)+~P9(f39(f39(f23(x7523),x7524),x7521),f39(f39(f23(x7523),x7524),x7522),x7523) % 2.19/2.13 [753]~P29(x7533)+P9(x7531,x7532,x7533)+~P9(f39(f39(f23(x7533),x7531),x7534),f39(f39(f23(x7533),x7532),x7534),x7533) % 2.19/2.13 [754]~P29(x7543)+P8(x7541,x7542,x7543)+~P8(f39(f39(f23(x7543),x7544),x7541),f39(f39(f23(x7543),x7544),x7542),x7543) % 2.19/2.13 [755]~P29(x7553)+P8(x7551,x7552,x7553)+~P8(f39(f39(f23(x7553),x7551),x7554),f39(f39(f23(x7553),x7552),x7554),x7553) % 2.19/2.13 [858]~P46(f37(x8581,x8584,x8583))+P46(f37(x8581,x8582,x8583))+P46(f37(x8581,f5(x8584,x8582,f42(x8583,a1)),x8583)) % 2.19/2.13 [818]~P8(x8181,x8183,f42(x8182,a1))+~P8(x8181,x8184,f42(x8182,a1))+P8(x8181,f39(f39(f21(f42(x8182,a1)),x8183),x8184),f42(x8182,a1)) % 2.19/2.13 [820]~P8(x8202,x8204,f42(x8201,a1))+~P8(x8203,x8204,f42(x8201,a1))+P8(f39(f39(f25(f42(x8201,a1)),x8202),x8203),x8204,f42(x8201,a1)) % 2.19/2.13 [823]~P46(f37(x8234,x8233,x8231))+~P46(f37(x8234,x8232,x8231))+~E(f39(f39(f21(f42(x8231,a1)),x8232),x8233),f4(f42(x8231,a1))) % 2.19/2.13 [869]~P42(x8691)+~P15(x8691)+E(f39(f39(f23(x8691),f39(f39(f22(x8691),x8692),x8693)),f39(f39(f22(x8691),x8692),x8694)),f39(f39(f23(x8691),f39(f39(f22(x8691),x8692),x8694)),f39(f39(f22(x8691),x8692),x8693))) % 2.19/2.13 [1053]~P18(x10531)+~P6(x10534,x10531)+E(f39(f39(f21(x10531),x10532),f38(f17(f21(x10531),x10533,x10534,x10531,x10531),x10531)),f38(f17(f21(x10531),x10533,f30(x10532,x10534,x10531),x10531,x10531),x10531)) % 2.19/2.13 [1054]~P17(x10541)+~P6(x10544,x10541)+E(f39(f39(f25(x10541),x10542),f38(f17(f25(x10541),x10543,x10544,x10541,x10541),x10541)),f38(f17(f25(x10541),x10543,f30(x10542,x10544,x10541),x10541,x10541),x10541)) % 2.19/2.13 [852]~P46(f39(x8523,x8524))+~P46(f39(x8522,x8524))+P46(f39(f39(f39(f21(f42(x8521,a1)),x8522),x8523),x8524)) % 2.19/2.13 [900]~P46(f39(x9004,x9001))+~P46(f37(x9001,x9003,x9002))+P46(f37(x9001,f39(f39(f21(f42(x9002,a1)),x9003),x9004),x9002)) % 2.19/2.13 [912]P46(f39(x9121,x9122))+P46(f39(x9123,x9122))+~P46(f39(f39(f39(f25(f42(x9124,a1)),x9121),x9123),x9122)) % 2.19/2.13 [914]~P46(f37(x9141,x9144,x9142))+~P46(f37(x9141,x9143,x9142))+P46(f37(x9141,f39(f39(f21(f42(x9142,a1)),x9143),x9144),x9142)) % 2.19/2.13 [954]P46(f37(x9541,x9542,x9543))+P46(f37(x9541,x9544,x9543))+~P46(f37(x9541,f39(f39(f25(f42(x9543,a1)),x9542),x9544),x9543)) % 2.19/2.13 [570]~P4(x5704)+P8(f39(x5701,x5702),f39(x5703,x5702),x5704)+~P8(x5701,x5703,f42(x5705,x5704)) % 2.19/2.13 [697]~P2(x6973)+P8(x6971,x6972,x6973)+P8(f33(x6971,x6972,x6973),f33(x6974,x6975,x6973),f42(x6973,a1)) % 2.19/2.13 [781]~P2(x7813)+P8(x7811,x7812,x7813)+~P9(f33(x7814,x7815,x7813),f33(x7811,x7812,x7813),f42(x7813,a1)) % 2.19/2.13 [872]~P5(x8725)+P8(f39(x8721,x8722),f12(x8723,x8721,x8724,x8725),x8725)+~P46(f37(x8722,x8723,x8724)) % 2.19/2.13 [873]P10(x8731,x8732,x8733,x8734)+~P10(x8731,x8735,x8733,x8734)+~P8(x8732,x8735,f42(x8733,a1)) % 2.19/2.13 [904]P6(x9041,x9042)+~P6(x9043,x9044)+~P8(x9041,f35(x9045,x9043,x9044,x9042),f42(x9042,a1)) % 2.19/2.13 [975]~P11(x9752,x9754,x9755)+~P8(f36(x9752,x9751,x9754,x9755),x9753,f42(x9754,a1))+P8(x9751,f35(x9752,x9753,x9754,x9755),f42(x9755,a1)) % 2.19/2.13 [976]~P11(x9761,x9763,x9764)+~P8(x9762,f35(x9761,x9765,x9763,x9764),f42(x9764,a1))+P8(f36(x9761,x9762,x9763,x9764),x9765,f42(x9763,a1)) % 2.19/2.13 [780]E(x7801,x7802)+~E(f39(x7803,x7801),f39(x7803,x7802))+~P10(x7803,f27(f42(x7804,a1)),x7804,x7805) % 2.19/2.13 [838]~P8(x8381,x8384,f42(x8383,a1))+~P8(x8385,x8382,f42(x8383,a1))+P8(f5(x8381,x8382,f42(x8383,a1)),f5(x8384,x8385,f42(x8383,a1)),f42(x8383,a1)) % 2.19/2.13 [851]~P46(f37(x8512,x8514,x8515))+E(f39(x8511,x8512),f4(f42(x8513,a1)))+~E(f12(x8514,x8511,x8515,f42(x8513,a1)),f4(f42(x8513,a1))) % 2.19/2.13 [926]~P10(x9262,x9261,x9263,x9264)+~P46(f37(x9265,x9261,x9263))+E(f39(f24(x9261,x9262,x9263,x9264),f39(x9262,x9265)),x9265) % 2.19/2.13 [951]E(x9511,x9512)+~E(f35(x9513,x9511,x9514,x9515),f35(x9513,x9512,x9514,x9515))+~P10(x9513,f27(f42(x9514,a1)),x9514,x9515) % 2.19/2.13 [989]~P10(x9892,x9891,x9893,x9894)+~P8(x9895,x9891,f42(x9893,a1))+E(f35(f24(x9891,x9892,x9893,x9894),f35(x9892,x9895,x9893,x9894),x9894,x9893),x9895) % 2.19/2.13 [1001]~P8(x10012,f35(x10011,x10015,x10013,x10014),f42(x10014,a1))+P8(f36(x10011,x10012,x10013,x10014),x10015,f42(x10013,a1))+~P10(x10011,f27(f42(x10013,a1)),x10013,x10014) % 2.19/2.13 [1004]~P8(f35(x10044,x10041,x10043,x10045),f35(x10044,x10042,x10043,x10045),f42(x10045,a1))+P8(x10041,x10042,f42(x10043,a1))+~P10(x10044,f27(f42(x10043,a1)),x10043,x10045) % 2.19/2.13 [1006]~P10(x10064,f27(f42(x10063,a1)),x10063,x10065)+P46(f37(x10061,x10062,x10063))+~P46(f37(f39(x10064,x10061),f35(x10064,x10062,x10063,x10065),x10065)) % 2.19/2.13 [1058]P46(f37(x10581,x10582,x10583))+~P46(f39(f17(x10584,x10581,x10582,x10583,x10583),x10585))+P46(f39(f10(x10584,f30(x10581,x10582,x10583),x10583),x10585)) % 2.19/2.13 [706]~P23(x7061)+E(f39(f39(f23(x7061),x7062),x7063),x7064)+~E(f39(f39(f23(x7061),x7062),f39(f39(f23(x7061),x7065),x7063)),f39(f39(f23(x7061),x7065),x7064)) % 2.19/2.13 [889]E(x8891,x8892)+E(x8891,x8893)+~E(f30(x8894,f30(x8891,f4(f42(x8895,a1)),x8895),x8895),f30(x8893,f30(x8892,f4(f42(x8895,a1)),x8895),x8895)) % 2.19/2.13 [890]E(x8901,x8902)+E(x8903,x8902)+~E(f30(x8903,f30(x8901,f4(f42(x8904,a1)),x8904),x8904),f30(x8905,f30(x8902,f4(f42(x8904,a1)),x8904),x8904)) % 2.19/2.13 [891]E(x8911,x8912)+E(x8913,x8912)+~E(f30(x8913,f30(x8911,f4(f42(x8914,a1)),x8914),x8914),f30(x8912,f30(x8915,f4(f42(x8914,a1)),x8914),x8914)) % 2.19/2.13 [892]E(x8921,x8922)+E(x8921,x8923)+~E(f30(x8921,f30(x8924,f4(f42(x8925,a1)),x8925),x8925),f30(x8923,f30(x8922,f4(f42(x8925,a1)),x8925),x8925)) % 2.19/2.13 [897]~P8(x8972,x8974,f42(x8971,a1))+~P8(x8973,x8975,f42(x8971,a1))+P8(f39(f39(f21(f42(x8971,a1)),x8972),x8973),f39(f39(f21(f42(x8971,a1)),x8974),x8975),f42(x8971,a1)) % 2.19/2.13 [898]~P8(x8982,x8984,f42(x8981,a1))+~P8(x8983,x8985,f42(x8981,a1))+P8(f39(f39(f25(f42(x8981,a1)),x8982),x8983),f39(f39(f25(f42(x8981,a1)),x8984),x8985),f42(x8981,a1)) % 2.19/2.13 [982]E(x9821,x9822)+~E(f35(x9823,x9821,x9824,x9825),f35(x9823,x9822,x9824,x9825))+~P10(x9823,f39(f39(f25(f42(x9824,a1)),x9821),x9822),x9824,x9825) % 2.19/2.13 [1035]~P10(x10351,x10353,x10354,x10355)+P10(x10351,f30(x10352,x10353,x10354),x10354,x10355)+P46(f37(f39(x10351,x10352),f35(x10351,f5(x10353,f30(x10352,f4(f42(x10354,a1)),x10354),f42(x10354,a1)),x10354,x10355),x10355)) % 2.19/2.13 [949]~P8(f35(x9491,x9495,x9496,x9494),x9493,f42(x9494,a1))+~P46(f37(x9492,x9495,x9496))+P46(f37(f39(x9491,x9492),x9493,x9494)) % 2.19/2.13 [950]P8(f39(x9501,x9502),x9503,f42(x9504,a1))+~P8(f12(x9505,x9501,x9506,f42(x9504,a1)),x9503,f42(x9504,a1))+~P46(f37(x9502,x9505,x9506)) % 2.19/2.13 [1032]~P10(x10322,x10323,x10324,x10325)+P10(f16(x10322,x10326,x10321,x10324,x10325),x10323,x10324,x10325)+P46(f37(x10321,f35(x10322,x10323,x10324,x10325),x10325)) % 2.19/2.13 [968]~P46(f37(x9686,x9681,x9683))+~P46(f39(f39(x9682,x9686),x9685))+P46(f39(f12(x9681,x9682,x9683,f42(x9684,a1)),x9685)) % 2.19/2.13 [984]~P46(f37(x9846,x9842,x9844))+~P46(f37(x9841,f39(x9843,x9846),x9845))+P46(f37(x9841,f12(x9842,x9843,x9844,f42(x9845,a1)),x9845)) % 2.19/2.13 [998]~P44(x9982)+~E(f39(f39(f23(x9982),f39(f39(f22(x9982),x9984),x9985)),x9981),f39(f39(f23(x9982),f39(f39(f22(x9982),x9983),x9985)),x9986))+E(x9981,f39(f39(f23(x9982),f39(f39(f22(x9982),f5(x9983,x9984,x9982)),x9985)),x9986)) % 2.19/2.13 [999]~P44(x9991)+~E(f39(f39(f23(x9991),f39(f39(f22(x9991),x9992),x9994)),x9995),f39(f39(f23(x9991),f39(f39(f22(x9991),x9993),x9994)),x9996))+E(f39(f39(f23(x9991),f39(f39(f22(x9991),f5(x9992,x9993,x9991)),x9994)),x9995),x9996) % 2.19/2.13 [1028]~P45(x10282)+~P9(f39(f39(f23(x10282),f39(f39(f22(x10282),x10284),x10285)),x10281),f39(f39(f23(x10282),f39(f39(f22(x10282),x10283),x10285)),x10286),x10282)+P9(x10281,f39(f39(f23(x10282),f39(f39(f22(x10282),f5(x10283,x10284,x10282)),x10285)),x10286),x10282) % 2.19/2.13 [1029]~P45(x10292)+~P8(f39(f39(f23(x10292),f39(f39(f22(x10292),x10294),x10295)),x10291),f39(f39(f23(x10292),f39(f39(f22(x10292),x10293),x10295)),x10296),x10292)+P8(x10291,f39(f39(f23(x10292),f39(f39(f22(x10292),f5(x10293,x10294,x10292)),x10295)),x10296),x10292) % 2.19/2.13 [1030]~P45(x10301)+~P9(f39(f39(f23(x10301),f39(f39(f22(x10301),x10302),x10304)),x10305),f39(f39(f23(x10301),f39(f39(f22(x10301),x10303),x10304)),x10306),x10301)+P9(f39(f39(f23(x10301),f39(f39(f22(x10301),f5(x10302,x10303,x10301)),x10304)),x10305),x10306,x10301) % 2.19/2.13 [1031]~P45(x10311)+~P8(f39(f39(f23(x10311),f39(f39(f22(x10311),x10312),x10314)),x10315),f39(f39(f23(x10311),f39(f39(f22(x10311),x10313),x10314)),x10316),x10311)+P8(f39(f39(f23(x10311),f39(f39(f22(x10311),f5(x10312,x10313,x10311)),x10314)),x10315),x10316,x10311) % 2.19/2.13 [1037]~P45(x10371)+~P9(x10374,f39(f39(f23(x10371),f39(f39(f22(x10371),f5(x10375,x10372,x10371)),x10373)),x10376),x10371)+P9(f39(f39(f23(x10371),f39(f39(f22(x10371),x10372),x10373)),x10374),f39(f39(f23(x10371),f39(f39(f22(x10371),x10375),x10373)),x10376),x10371) % 2.19/2.13 [1038]~P45(x10381)+~P8(x10384,f39(f39(f23(x10381),f39(f39(f22(x10381),f5(x10385,x10382,x10381)),x10383)),x10386),x10381)+P8(f39(f39(f23(x10381),f39(f39(f22(x10381),x10382),x10383)),x10384),f39(f39(f23(x10381),f39(f39(f22(x10381),x10385),x10383)),x10386),x10381) % 2.19/2.13 [1039]~P45(x10391)+~P9(f39(f39(f23(x10391),f39(f39(f22(x10391),f5(x10392,x10395,x10391)),x10393)),x10394),x10396,x10391)+P9(f39(f39(f23(x10391),f39(f39(f22(x10391),x10392),x10393)),x10394),f39(f39(f23(x10391),f39(f39(f22(x10391),x10395),x10393)),x10396),x10391) % 2.19/2.13 [1040]~P45(x10401)+~P8(f39(f39(f23(x10401),f39(f39(f22(x10401),f5(x10402,x10405,x10401)),x10403)),x10404),x10406,x10401)+P8(f39(f39(f23(x10401),f39(f39(f22(x10401),x10402),x10403)),x10404),f39(f39(f23(x10401),f39(f39(f22(x10401),x10405),x10403)),x10406),x10401) % 2.19/2.13 [1059]P46(f37(x10591,x10592,x10593))+~P46(f39(f17(x10594,x10595,x10592,x10593,x10596),x10597))+P46(f39(f17(x10594,x10595,f30(x10591,x10592,x10593),x10593,x10596),f39(f39(x10594,x10591),x10597))) % 2.19/2.13 [1063]~P46(f37(x10636,x10633,x10634))+P46(f39(f17(x10631,x10632,x10633,x10634,x10635),f39(f39(x10631,x10636),x10637)))+~P46(f39(f17(x10631,x10632,f5(x10633,f30(x10636,f4(f42(x10634,a1)),x10634),f42(x10634,a1)),x10634,x10635),x10637)) % 2.19/2.13 [1079]~P6(x10792,x10795)+~P7(x10796,x10791,x10797,x10798,x10799,x10793,x10794,x107910,x10795)+E(f39(x10791,x10792),f38(f17(x10793,x10794,x10792,x10795,x10795),x10795)) % 2.19/2.13 [1080]~P6(x10802,x10805)+~P7(x10801,x10806,x10807,x10808,x10803,x10809,x108010,x10804,x10805)+E(f39(x10801,x10802),f38(f17(x10803,x10804,x10802,x10805,x10805),x10805)) % 2.19/2.13 [1075]~P7(x10756,x10753,x10751,x10757,x10758,x10759,x107510,x107511,x10755)+~P46(f37(x10752,x10754,x10755))+P46(f39(f39(x10751,x10752),f39(x10753,x10754))) % 2.19/2.13 [1081]~P6(x10814,x10815)+~P7(x10816,x10813,x10817,x10818,x10819,x10811,x108110,x108111,x10815)+E(f39(f39(x10811,x10812),f39(x10813,x10814)),f38(f17(x10811,x10812,x10814,x10815,x10815),x10815)) % 2.19/2.13 [1082]~P6(x10824,x10825)+~P7(x10823,x10826,x10827,x10828,x10821,x10829,x108210,x108211,x10825)+E(f39(f39(x10821,x10822),f39(x10823,x10824)),f38(f17(x10821,x10822,x10824,x10825,x10825),x10825)) % 2.19/2.13 [1076]~P7(x10762,x10766,x10761,x10767,x10768,x10769,x107610,x107611,x10765)+~P46(f37(x10764,x10763,x10765))+P46(f39(f39(x10761,f39(x10762,x10763)),x10764)) % 2.19/2.13 [571]~P16(x5712)+~P6(x5711,x5712)+E(x5711,f4(f42(x5712,a1)))+P46(f37(f39(f18(x5712),x5711),x5711,x5712)) % 2.19/2.13 [572]~P16(x5722)+~P6(x5721,x5722)+E(x5721,f4(f42(x5722,a1)))+P46(f37(f39(f19(x5722),x5721),x5721,x5722)) % 2.19/2.13 [421]P9(x4211,x4212,x4213)+~P16(x4213)+E(x4211,x4212)+P9(x4212,x4211,x4213) % 2.19/2.13 [422]P9(x4221,x4222,x4223)+~P41(x4223)+E(x4221,x4222)+P9(x4222,x4221,x4223) % 2.19/2.13 [472]~P2(x4723)+~P8(x4721,x4722,x4723)+E(x4721,x4722)+P9(x4721,x4722,x4723) % 2.19/2.13 [474]~P16(x4743)+~P8(x4741,x4742,x4743)+E(x4741,x4742)+P9(x4741,x4742,x4743) % 2.19/2.13 [523]~P8(x5232,x5231,x5233)+~P8(x5231,x5232,x5233)+E(x5231,x5232)+~P2(x5233) % 2.19/2.13 [532]P8(x5322,x5321,x5323)+~P1(x5323)+~P8(x5321,x5322,x5323)+P9(x5321,x5322,x5323) % 2.19/2.13 [647]E(x6471,x6472)+~P6(x6472,x6473)+~P8(x6471,x6472,f42(x6473,a1))+~P8(f15(x6472,x6473),f15(x6471,x6473),a41) % 2.19/2.13 [709]~P6(x7092,x7093)+~P8(x7091,x7092,f42(x7093,a1))+P9(x7091,x7092,f42(x7093,a1))+~P9(f15(x7091,x7093),f15(x7092,x7093),a41) % 2.19/2.13 [977]~P6(x9772,x9773)+~P10(x9771,x9772,x9773,x9773)+~P8(f35(x9771,x9772,x9773,x9773),x9772,f42(x9773,a1))+E(f35(x9771,x9772,x9773,x9773),x9772) % 2.19/2.13 [620]~P16(x6202)+~P6(x6203,x6202)+P8(x6201,f39(f18(x6202),x6203),x6202)+~P46(f37(x6201,x6203,x6202)) % 2.19/2.13 [621]~P16(x6211)+~P6(x6212,x6211)+P8(f39(f19(x6211),x6212),x6213,x6211)+~P46(f37(x6213,x6212,x6211)) % 2.19/2.13 [613]~P16(x6132)+~P6(x6131,x6132)+E(x6131,f4(f42(x6132,a1)))+E(f39(f39(f29(x6132),x6133),f39(f18(x6132),x6131)),f39(f18(x6132),f30(x6133,x6131,x6132))) % 2.19/2.13 [614]~P16(x6142)+~P6(x6141,x6142)+E(x6141,f4(f42(x6142,a1)))+E(f39(f39(f28(x6142),x6143),f39(f19(x6142),x6141)),f39(f19(x6142),f30(x6143,x6141,x6142))) % 2.19/2.13 [698]~P18(x6981)+~P6(x6982,x6981)+~P46(f37(x6983,x6982,x6981))+P8(f39(f11(f21(x6981),x6981),x6982),x6983,x6981) % 2.19/2.13 [1017]~P24(x10171)+~P6(x10173,x10171)+P46(f37(x10172,x10173,x10171))+E(f38(f17(f22(x10171),x10172,x10173,x10171,x10171),x10171),f39(f11(f22(x10171),x10171),f30(x10172,x10173,x10171))) % 2.19/2.13 [1018]~P21(x10181)+~P6(x10183,x10181)+P46(f37(x10182,x10183,x10181))+E(f38(f17(f23(x10181),x10182,x10183,x10181,x10181),x10181),f39(f11(f23(x10181),x10181),f30(x10182,x10183,x10181))) % 2.19/2.13 [705]~P25(x7052)+~P6(x7051,x7052)+E(x7051,f4(f42(x7052,a1)))+E(f39(f39(f22(x7052),x7053),f39(f11(f22(x7052),x7052),x7051)),f39(f11(f22(x7052),x7052),f30(x7053,x7051,x7052))) % 2.19/2.13 [559]~P1(x5593)+~P9(x5591,x5594,x5593)+P9(x5591,x5592,x5593)+~P9(x5594,x5592,x5593) % 2.19/2.13 [560]~P1(x5603)+~P8(x5601,x5604,x5603)+P9(x5601,x5602,x5603)+~P9(x5604,x5602,x5603) % 2.19/2.13 [561]~P1(x5613)+~P8(x5614,x5612,x5613)+P9(x5611,x5612,x5613)+~P9(x5611,x5614,x5613) % 2.19/2.13 [562]~P2(x5623)+~P9(x5621,x5624,x5623)+P9(x5621,x5622,x5623)+~P9(x5624,x5622,x5623) % 2.19/2.13 [563]~P2(x5633)+~P8(x5631,x5634,x5633)+P9(x5631,x5632,x5633)+~P9(x5634,x5632,x5633) % 2.19/2.13 [564]~P2(x5643)+~P8(x5644,x5642,x5643)+P9(x5641,x5642,x5643)+~P9(x5641,x5644,x5643) % 2.19/2.13 [565]~P1(x5653)+~P8(x5651,x5654,x5653)+P8(x5651,x5652,x5653)+~P8(x5654,x5652,x5653) % 2.19/2.13 [566]~P2(x5663)+~P8(x5661,x5664,x5663)+P8(x5661,x5662,x5663)+~P8(x5664,x5662,x5663) % 2.19/2.13 [617]~P4(x6174)+P9(x6171,x6172,f42(x6173,x6174))+P8(x6172,x6171,f42(x6173,x6174))+~P8(x6171,x6172,f42(x6173,x6174)) % 2.19/2.13 [711]E(x7111,x7112)+~E(f30(x7113,x7111,x7114),f30(x7113,x7112,x7114))+P46(f37(x7113,x7111,x7114))+P46(f37(x7113,x7112,x7114)) % 2.19/2.13 [795]~P8(x7954,x7952,f42(x7953,a1))+P9(x7954,f30(x7951,x7952,x7953),f42(x7953,a1))+P46(f37(x7951,x7952,x7953))+P46(f37(x7951,x7954,x7953)) % 2.19/2.13 [801]~P8(x8012,x8014,f42(x8013,a1))+~P9(x8012,x8014,f42(x8013,a1))+P9(x8012,f30(x8011,x8014,x8013),f42(x8013,a1))+P46(f37(x8011,x8012,x8013)) % 2.19/2.13 [810]~P9(x8104,f30(x8101,x8102,x8103),f42(x8103,a1))+P8(x8104,x8102,f42(x8103,a1))+P46(f37(x8101,x8102,x8103))+P46(f37(x8101,x8104,x8103)) % 2.19/2.13 [853]~P16(x8531)+~P8(x8533,x8534,x8531)+~P8(x8532,x8533,x8531)+E(f39(f39(f25(f42(x8531,a1)),f32(x8532,x8533,x8531)),f32(x8533,x8534,x8531)),f32(x8532,x8534,x8531)) % 2.19/2.13 [854]~P16(x8541)+~P8(x8543,x8544,x8541)+~P8(x8542,x8543,x8541)+E(f39(f39(f25(f42(x8541,a1)),f32(x8542,x8543,x8541)),f33(x8543,x8544,x8541)),f33(x8542,x8544,x8541)) % 2.19/2.13 [855]~P16(x8551)+~P8(x8553,x8554,x8551)+~P8(x8552,x8553,x8551)+E(f39(f39(f25(f42(x8551,a1)),f33(x8552,x8553,x8551)),f34(x8553,x8554,x8551)),f33(x8552,x8554,x8551)) % 2.19/2.13 [856]~P16(x8561)+~P8(x8563,x8564,x8561)+~P8(x8562,x8563,x8561)+E(f39(f39(f25(f42(x8561,a1)),f34(x8562,x8563,x8561)),f34(x8563,x8564,x8561)),f34(x8562,x8564,x8561)) % 2.19/2.13 [948]~P9(x9484,f30(x9481,x9482,x9483),f42(x9483,a1))+P9(f5(x9484,f30(x9481,f4(f42(x9483,a1)),x9483),f42(x9483,a1)),x9482,f42(x9483,a1))+~P46(f37(x9481,x9484,x9483))+P46(f37(x9481,x9482,x9483)) % 2.19/2.13 [970]~P8(x9704,x9702,f42(x9703,a1))+P9(x9704,f30(x9701,x9702,x9703),f42(x9703,a1))+~P9(f5(x9704,f30(x9701,f4(f42(x9703,a1)),x9703),f42(x9703,a1)),x9702,f42(x9703,a1))+P46(f37(x9701,x9702,x9703)) % 2.19/2.13 [972]~P8(x9721,x9723,f42(x9724,a1))+~P9(x9721,x9723,f42(x9724,a1))+P9(x9721,f30(x9722,x9723,x9724),f42(x9724,a1))+~P9(f5(x9721,f30(x9722,f4(f42(x9724,a1)),x9724),f42(x9724,a1)),x9723,f42(x9724,a1)) % 2.19/2.13 [973]P9(x9734,f30(x9731,x9732,x9733),f42(x9733,a1))+~P9(f5(x9734,f30(x9731,f4(f42(x9733,a1)),x9733),f42(x9733,a1)),x9732,f42(x9733,a1))+~P46(f37(x9731,x9734,x9733))+P46(f37(x9731,x9732,x9733)) % 2.19/2.13 [974]~P9(x9741,x9743,f42(x9744,a1))+P9(x9741,f30(x9742,x9743,x9744),f42(x9744,a1))+~P9(f5(x9741,f30(x9742,f4(f42(x9744,a1)),x9744),f42(x9744,a1)),x9743,f42(x9744,a1))+~P46(f37(x9742,x9741,x9744)) % 2.19/2.13 [1016]~P6(x10163,x10164)+~P12(x10161,x10164)+P46(f37(x10162,x10163,x10164))+E(f38(f17(x10161,x10162,x10163,x10164,x10164),x10164),f39(f11(x10161,x10164),f30(x10162,x10163,x10164))) % 2.19/2.13 [520]~P42(x5203)+~P15(x5203)+E(x5201,x5202)+~E(f39(f39(f23(x5203),x5204),x5201),f39(f39(f23(x5203),x5204),x5202)) % 2.19/2.13 [671]~P16(x6712)+~P9(x6711,x6714,x6712)+~P9(x6711,x6713,x6712)+P9(x6711,f39(f39(f28(x6712),x6713),x6714),x6712) % 2.19/2.13 [674]~P18(x6742)+~P8(x6741,x6744,x6742)+~P8(x6741,x6743,x6742)+P8(x6741,f39(f39(f21(x6742),x6743),x6744),x6742) % 2.19/2.13 [677]~P16(x6772)+~P8(x6771,x6774,x6772)+~P8(x6771,x6773,x6772)+P8(x6771,f39(f39(f28(x6772),x6773),x6774),x6772) % 2.19/2.13 [678]~P16(x6781)+~P9(x6783,x6784,x6781)+~P9(x6782,x6784,x6781)+P9(f39(f39(f29(x6781),x6782),x6783),x6784,x6781) % 2.19/2.13 [681]~P17(x6811)+~P8(x6813,x6814,x6811)+~P8(x6812,x6814,x6811)+P8(f39(f39(f25(x6811),x6812),x6813),x6814,x6811) % 2.19/2.13 [684]~P16(x6841)+~P8(x6843,x6844,x6841)+~P8(x6842,x6844,x6841)+P8(f39(f39(f29(x6841),x6842),x6843),x6844,x6841) % 2.19/2.13 [699]~P16(x6993)+P9(x6991,x6992,x6993)+P9(x6991,x6994,x6993)+~P9(x6991,f39(f39(f29(x6993),x6992),x6994),x6993) % 2.19/2.13 [700]~P16(x7003)+P8(x7001,x7002,x7003)+P8(x7001,x7004,x7003)+~P8(x7001,f39(f39(f29(x7003),x7002),x7004),x7003) % 2.19/2.13 [701]~P16(x7013)+P9(x7011,x7012,x7013)+P9(x7014,x7012,x7013)+~P9(f39(f39(f28(x7013),x7011),x7014),x7012,x7013) % 2.19/2.13 [702]~P16(x7023)+P8(x7021,x7022,x7023)+P8(x7024,x7022,x7023)+~P8(f39(f39(f28(x7023),x7021),x7024),x7022,x7023) % 2.19/2.13 [793]P9(x7932,x7931,x7933)+~P43(x7933)+P9(x7931,x7932,x7933)+~P9(f39(f39(f22(x7933),x7934),x7931),f39(f39(f22(x7933),x7934),x7932),x7933) % 2.19/2.13 [794]P9(x7942,x7941,x7943)+~P43(x7943)+P9(x7941,x7942,x7943)+~P9(f39(f39(f22(x7943),x7941),x7944),f39(f39(f22(x7943),x7942),x7944),x7943) % 2.19/2.13 [1027]~P6(x10271,x10273)+~P46(f37(x10274,x10271,x10273))+~P46(f37(x10272,x10271,x10273))+P9(f15(f5(f5(x10271,f30(x10272,f4(f42(x10273,a1)),x10273),f42(x10273,a1)),f30(x10274,f4(f42(x10273,a1)),x10273),f42(x10273,a1)),x10273),f15(x10271,x10273),a41) % 2.19/2.13 [1044]~P17(x10441)+~P6(x10444,x10441)+~P46(f37(x10442,x10444,x10441))+P8(f39(f39(f25(x10441),x10442),x10443),f38(f17(f25(x10441),x10443,x10444,x10441,x10441),x10441),x10441) % 2.19/2.13 [1045]~P18(x10451)+~P6(x10453,x10451)+~P46(f37(x10454,x10453,x10451))+P8(f38(f17(f21(x10451),x10452,x10453,x10451,x10451),x10451),f39(f39(f21(x10451),x10454),x10452),x10451) % 2.19/2.13 [658]~P32(x6583)+~P9(x6584,x6585,x6583)+P9(x6581,x6582,x6583)+~E(f5(x6584,x6585,x6583),f5(x6581,x6582,x6583)) % 2.19/2.13 [659]~P32(x6593)+~P9(x6594,x6595,x6593)+P9(x6591,x6592,x6593)+~E(f5(x6591,x6592,x6593),f5(x6594,x6595,x6593)) % 2.19/2.13 [660]~P32(x6603)+~P8(x6605,x6604,x6603)+P8(x6601,x6602,x6603)+~E(f5(x6604,x6605,x6603),f5(x6602,x6601,x6603)) % 2.19/2.13 [661]~P32(x6613)+~P8(x6615,x6614,x6613)+P8(x6611,x6612,x6613)+~E(f5(x6612,x6611,x6613),f5(x6614,x6615,x6613)) % 2.19/2.13 [747]~P2(x7473)+~P8(x7474,x7475,x7473)+P8(x7471,x7472,x7473)+P9(f33(x7471,x7472,x7473),f33(x7474,x7475,x7473),f42(x7473,a1)) % 2.19/2.13 [756]~P2(x7563)+~P8(x7564,x7561,x7563)+~P8(x7562,x7565,x7563)+P8(f33(x7561,x7562,x7563),f33(x7564,x7565,x7563),f42(x7563,a1)) % 2.19/2.13 [805]~P16(x8053)+P8(x8051,x8052,x8053)+P8(x8054,x8052,x8053)+~P8(f32(x8052,x8051,x8053),f32(x8054,x8055,x8053),f42(x8053,a1)) % 2.19/2.13 [806]~P16(x8063)+P8(x8061,x8062,x8063)+P8(x8061,x8064,x8063)+~P8(f32(x8062,x8061,x8063),f32(x8065,x8064,x8063),f42(x8063,a1)) % 2.19/2.13 [813]~P2(x8133)+P8(x8131,x8132,x8133)+~P8(x8134,x8131,x8133)+~P9(f33(x8134,x8131,x8133),f33(x8135,x8132,x8133),f42(x8133,a1)) % 2.19/2.13 [814]~P2(x8143)+P8(x8141,x8142,x8143)+~P8(x8144,x8141,x8143)+~P8(f33(x8144,x8141,x8143),f33(x8145,x8142,x8143),f42(x8143,a1)) % 2.19/2.13 [815]~P2(x8153)+P8(x8151,x8152,x8153)+~P8(x8152,x8154,x8153)+~P9(f33(x8152,x8154,x8153),f33(x8151,x8155,x8153),f42(x8153,a1)) % 2.19/2.13 [816]~P2(x8163)+P8(x8161,x8162,x8163)+~P8(x8162,x8164,x8163)+~P8(f33(x8162,x8164,x8163),f33(x8161,x8165,x8163),f42(x8163,a1)) % 2.19/2.13 [969]~P6(x9693,x9694)+~P10(x9695,x9691,x9692,x9694)+~P8(f35(x9695,x9691,x9692,x9694),x9693,f42(x9694,a1))+P8(f15(x9691,x9692),f15(x9693,x9694),a41) % 2.19/2.13 [924]~P21(x9245)+~P6(x9243,x9244)+P46(f37(x9242,x9243,x9244))+E(f20(x9241,f30(x9242,x9243,x9244),x9244,x9245),f39(f39(f23(x9245),f39(x9241,x9242)),f20(x9241,x9243,x9244,x9245))) % 2.19/2.13 [928]~P6(x9284,x9285)+P6(f39(x9281,x9282),x9283)+~P46(f37(x9282,x9284,x9285))+~P6(f12(x9284,x9281,x9285,f42(x9283,a1)),x9283) % 2.19/2.13 [743]~P28(x7431)+~P9(x7433,x7435,x7431)+~P9(x7432,x7434,x7431)+P9(f39(f39(f23(x7431),x7432),x7433),f39(f39(f23(x7431),x7434),x7435),x7431) % 2.19/2.13 [744]~P28(x7441)+~P9(x7443,x7445,x7441)+~P8(x7442,x7444,x7441)+P9(f39(f39(f23(x7441),x7442),x7443),f39(f39(f23(x7441),x7444),x7445),x7441) % 2.19/2.13 [745]~P28(x7451)+~P9(x7452,x7454,x7451)+~P8(x7453,x7455,x7451)+P9(f39(f39(f23(x7451),x7452),x7453),f39(f39(f23(x7451),x7454),x7455),x7451) % 2.19/2.13 [746]~P30(x7461)+~P8(x7463,x7465,x7461)+~P8(x7462,x7464,x7461)+P8(f39(f39(f23(x7461),x7462),x7463),f39(f39(f23(x7461),x7464),x7465),x7461) % 2.19/2.13 [770]~P32(x7702)+~P8(x7705,x7704,x7702)+~P8(x7701,f39(f39(f23(x7702),x7703),x7705),x7702)+P8(x7701,f39(f39(f23(x7702),x7703),x7704),x7702) % 2.19/2.13 [946]~P23(x9465)+~P6(x9462,x9464)+P46(f37(x9463,x9462,x9464))+E(f20(x9461,f5(x9462,f30(x9463,f4(f42(x9464,a1)),x9464),f42(x9464,a1)),x9464,x9465),f20(x9461,x9462,x9464,x9465)) % 2.19/2.13 [979]~P23(x9794)+~P6(x9792,x9793)+~P8(x9795,x9792,f42(x9793,a1))+E(f5(f20(x9791,x9792,x9793,x9794),f20(x9791,x9795,x9793,x9794),x9794),f20(x9791,f5(x9792,x9795,f42(x9793,a1)),x9793,x9794)) % 2.19/2.13 [980]~P23(x9805)+~P6(x9802,x9804)+~P46(f37(x9803,x9802,x9804))+E(f20(x9801,f5(x9802,f30(x9803,f4(f42(x9804,a1)),x9804),f42(x9804,a1)),x9804,x9805),f5(f20(x9801,x9802,x9804,x9805),f39(x9801,x9803),x9805)) % 2.19/2.13 [981]~P44(x9815)+~P6(x9812,x9814)+~P46(f37(x9813,x9812,x9814))+E(f20(x9811,f5(x9812,f30(x9813,f4(f42(x9814,a1)),x9814),f42(x9814,a1)),x9814,x9815),f5(f20(x9811,x9812,x9814,x9815),f39(x9811,x9813),x9815)) % 2.19/2.13 [1003]~P21(x10031)+~P6(x10034,x10035)+~P46(f37(x10033,x10034,x10035))+E(f39(f39(f23(x10031),f39(x10032,x10033)),f20(x10032,f5(x10034,f30(x10033,f4(f42(x10035,a1)),x10035),f42(x10035,a1)),x10035,x10031)),f20(x10032,x10034,x10035,x10031)) % 2.19/2.13 [1046]~P10(x10461,x10464,x10462,x10465)+~P10(x10461,x10463,x10462,x10465)+P10(x10461,f39(f39(f25(f42(x10462,a1)),x10463),x10464),x10462,x10465)+~E(f39(f39(f21(f42(x10465,a1)),f35(x10461,f5(x10463,x10464,f42(x10462,a1)),x10462,x10465)),f35(x10461,f5(x10464,x10463,f42(x10462,a1)),x10462,x10465)),f4(f42(x10465,a1))) % 2.19/2.13 [1061]~P24(x10613)+P46(f37(x10611,x10612,x10613))+~P46(f39(f17(f22(x10613),x10611,x10612,x10613,x10613),x10615))+P46(f39(f17(f22(x10613),x10614,f30(x10611,x10612,x10613),x10613,x10613),f39(f39(f22(x10613),x10614),x10615))) % 2.19/2.13 [1062]~P21(x10623)+P46(f37(x10621,x10622,x10623))+~P46(f39(f17(f23(x10623),x10621,x10622,x10623,x10623),x10625))+P46(f39(f17(f23(x10623),x10624,f30(x10621,x10622,x10623),x10623,x10623),f39(f39(f23(x10623),x10624),x10625))) % 2.19/2.13 [1041]~P23(x10411)+~P6(x10415,x10414)+~P6(x10413,x10414)+E(f5(f39(f39(f23(x10411),f20(x10412,x10413,x10414,x10411)),f20(x10412,x10415,x10414,x10411)),f20(x10412,f39(f39(f21(f42(x10414,a1)),x10413),x10415),x10414,x10411),x10411),f20(x10412,f39(f39(f25(f42(x10414,a1)),x10413),x10415),x10414,x10411)) % 2.19/2.13 [1042]~P21(x10421)+~P6(x10425,x10423)+~P6(x10424,x10423)+E(f39(f39(f23(x10421),f20(x10422,f39(f39(f25(f42(x10423,a1)),x10424),x10425),x10423,x10421)),f20(x10422,f39(f39(f21(f42(x10423,a1)),x10424),x10425),x10423,x10421)),f39(f39(f23(x10421),f20(x10422,x10424,x10423,x10421)),f20(x10422,x10425,x10423,x10421))) % 2.19/2.13 [1043]E(x10431,x10432)+~E(f39(f24(x10433,x10434,x10435,x10436),x10431),f39(f24(x10433,x10434,x10435,x10436),x10432))+~P46(f37(x10432,f35(x10434,x10433,x10435,x10436),x10436))+~P46(f37(x10431,f35(x10434,x10433,x10435,x10436),x10436)) % 2.19/2.13 [1002]~P10(x10021,x10026,x10023,x10024)+~P8(x10022,x10026,f42(x10023,a1))+~P8(x10025,x10026,f42(x10023,a1))+E(f5(f35(x10021,x10022,x10023,x10024),f35(x10021,x10025,x10023,x10024),f42(x10024,a1)),f35(x10021,f5(x10022,x10025,f42(x10023,a1)),x10023,x10024)) % 2.19/2.13 [1060]~P12(x10604,x10603)+P46(f37(x10601,x10602,x10603))+~P46(f39(f17(x10604,x10601,x10602,x10603,x10603),x10606))+P46(f39(f17(x10604,x10605,f30(x10601,x10602,x10603),x10603,x10603),f39(f39(x10604,x10605),x10606))) % 2.19/2.13 [1022]~P10(x10222,x10226,x10224,x10221)+~P8(x10223,x10226,f42(x10224,a1))+~P8(x10225,x10226,f42(x10224,a1))+E(f39(f39(f21(f42(x10221,a1)),f35(x10222,x10223,x10224,x10221)),f35(x10222,x10225,x10224,x10221)),f35(x10222,f39(f39(f21(f42(x10224,a1)),x10223),x10225),x10224,x10221)) % 2.19/2.13 [645]~P16(x6452)+~P6(x6453,x6452)+~P8(x6451,x6453,f42(x6452,a1))+P8(f39(f19(x6452),x6453),f39(f19(x6452),x6451),x6452)+E(x6451,f4(f42(x6452,a1))) % 2.19/2.13 [646]~P16(x6462)+~P6(x6463,x6462)+~P8(x6461,x6463,f42(x6462,a1))+P8(f39(f18(x6462),x6461),f39(f18(x6462),x6463),x6462)+E(x6461,f4(f42(x6462,a1))) % 2.19/2.13 [748]~P16(x7482)+~P6(x7483,x7482)+~P8(x7481,x7483,f42(x7482,a1))+P8(f39(f11(f28(x7482),x7482),x7483),f39(f11(f28(x7482),x7482),x7481),x7482)+E(x7481,f4(f42(x7482,a1))) % 2.19/2.13 [764]~P24(x7642)+~P6(x7641,x7642)+P46(f37(x7643,x7641,x7642))+E(x7641,f4(f42(x7642,a1)))+E(f39(f39(f22(x7642),x7643),f39(f11(f22(x7642),x7642),x7641)),f39(f11(f22(x7642),x7642),f30(x7643,x7641,x7642))) % 2.19/2.13 [765]~P21(x7652)+~P6(x7651,x7652)+P46(f37(x7653,x7651,x7652))+E(x7651,f4(f42(x7652,a1)))+E(f39(f39(f23(x7652),x7653),f39(f11(f23(x7652),x7652),x7651)),f39(f11(f23(x7652),x7652),f30(x7653,x7651,x7652))) % 2.19/2.13 [749]~P6(x7491,x7492)+~P12(x7493,x7492)+P46(f37(x7494,x7491,x7492))+E(x7491,f4(f42(x7492,a1)))+E(f39(f11(x7493,x7492),f30(x7494,x7491,x7492)),f39(f39(x7493,x7494),f39(f11(x7493,x7492),x7491))) % 2.19/2.13 [849]~P2(x8493)+~P8(x8492,x8494,x8493)+P9(x8491,x8492,x8493)+P9(x8494,x8495,x8493)+~P9(f33(x8492,x8494,x8493),f33(x8491,x8495,x8493),f42(x8493,a1)) % 2.19/2.13 [935]~P42(x9355)+~P15(x9355)+E(x9351,x9352)+E(x9353,x9354)+~E(f39(f39(f23(x9355),f39(f39(f22(x9355),x9353),x9351)),f39(f39(f22(x9355),x9354),x9352)),f39(f39(f23(x9355),f39(f39(f22(x9355),x9353),x9352)),f39(f39(f22(x9355),x9354),x9351))) % 2.19/2.13 [1005]~P21(x10051)+~P6(x10055,x10054)+~P6(x10053,x10054)+~E(f39(f39(f21(f42(x10054,a1)),x10053),x10055),f4(f42(x10054,a1)))+E(f39(f39(f23(x10051),f20(x10052,x10053,x10054,x10051)),f20(x10052,x10055,x10054,x10051)),f20(x10052,f39(f39(f25(f42(x10054,a1)),x10053),x10055),x10054,x10051)) % 2.19/2.13 [1065]~P24(x10653)+~P46(f37(x10654,x10652,x10653))+P46(f37(x10651,x10652,x10653))+~P46(f39(f17(f22(x10653),x10651,x10652,x10653,x10653),x10655))+P46(f39(f17(f22(x10653),x10654,f30(x10651,f5(x10652,f30(x10654,f4(f42(x10653,a1)),x10653),f42(x10653,a1)),x10653),x10653,x10653),x10655)) % 2.19/2.13 [1066]~P21(x10663)+~P46(f37(x10664,x10662,x10663))+P46(f37(x10661,x10662,x10663))+~P46(f39(f17(f23(x10663),x10661,x10662,x10663,x10663),x10665))+P46(f39(f17(f23(x10663),x10664,f30(x10661,f5(x10662,f30(x10664,f4(f42(x10663,a1)),x10663),f42(x10663,a1)),x10663),x10663,x10663),x10665)) % 2.19/2.13 [880]E(x8801,x8802)+~P10(x8803,x8804,x8805,x8806)+~E(f39(x8803,x8801),f39(x8803,x8802))+~P46(f37(x8802,x8804,x8805))+~P46(f37(x8801,x8804,x8805)) % 2.19/2.13 [1064]~P12(x10644,x10643)+~P46(f37(x10645,x10642,x10643))+P46(f37(x10641,x10642,x10643))+~P46(f39(f17(x10644,x10641,x10642,x10643,x10643),x10646))+P46(f39(f17(x10644,x10645,f30(x10641,f5(x10642,f30(x10645,f4(f42(x10643,a1)),x10643),f42(x10643,a1)),x10643),x10643,x10643),x10646)) % 2.19/2.13 [807]~P16(x8072)+~P6(x8071,x8072)+~P6(x8073,x8072)+E(x8071,f4(f42(x8072,a1)))+E(x8073,f4(f42(x8072,a1)))+E(f39(f39(f29(x8072),f39(f18(x8072),x8073)),f39(f18(x8072),x8071)),f39(f18(x8072),f39(f39(f25(f42(x8072,a1)),x8073),x8071))) % 2.19/2.13 [808]~P16(x8082)+~P6(x8081,x8082)+~P6(x8083,x8082)+E(x8081,f4(f42(x8082,a1)))+E(x8083,f4(f42(x8082,a1)))+E(f39(f39(f28(x8082),f39(f19(x8082),x8083)),f39(f19(x8082),x8081)),f39(f19(x8082),f39(f39(f25(f42(x8082,a1)),x8083),x8081))) % 2.19/2.13 [885]~P25(x8852)+~P6(x8851,x8852)+~P6(x8853,x8852)+E(x8851,f4(f42(x8852,a1)))+E(x8853,f4(f42(x8852,a1)))+E(f39(f39(f22(x8852),f39(f11(f22(x8852),x8852),x8853)),f39(f11(f22(x8852),x8852),x8851)),f39(f11(f22(x8852),x8852),f39(f39(f25(f42(x8852,a1)),x8853),x8851))) % 2.19/2.13 [758]~P16(x7582)+~P6(x7581,x7582)+~P9(x7584,x7583,x7582)+~P46(f37(x7584,x7581,x7582))+P9(f39(f11(f28(x7582),x7582),x7581),x7583,x7582)+E(x7581,f4(f42(x7582,a1))) % 2.19/2.13 [759]~P16(x7592)+~P6(x7591,x7592)+~P8(x7594,x7593,x7592)+~P46(f37(x7594,x7591,x7592))+P8(f39(f11(f28(x7592),x7592),x7591),x7593,x7592)+E(x7591,f4(f42(x7592,a1))) % 2.19/2.13 [797]~P16(x7972)+~P6(x7971,x7972)+P9(x7973,x7974,x7972)+~P46(f37(x7974,x7971,x7972))+~P9(x7973,f39(f11(f28(x7972),x7972),x7971),x7972)+E(x7971,f4(f42(x7972,a1))) % 2.19/2.13 [798]~P18(x7982)+~P6(x7981,x7982)+P8(x7983,x7984,x7982)+~P46(f37(x7984,x7981,x7982))+~P8(x7983,f39(f11(f21(x7982),x7982),x7981),x7982)+E(x7981,f4(f42(x7982,a1))) % 2.19/2.13 [841]~P2(x8413)+~P9(x8414,x8411,x8413)+~P8(x8414,x8415,x8413)+~P8(x8414,x8411,x8413)+~P8(x8412,x8415,x8413)+P9(f33(x8411,x8412,x8413),f33(x8414,x8415,x8413),f42(x8413,a1)) % 2.19/2.13 [842]~P2(x8423)+~P9(x8422,x8425,x8423)+~P8(x8424,x8425,x8423)+~P8(x8424,x8421,x8423)+~P8(x8422,x8425,x8423)+P9(f33(x8421,x8422,x8423),f33(x8424,x8425,x8423),f42(x8423,a1)) % 2.19/2.13 [915]~P24(x9152)+~P6(x9151,x9152)+~P6(x9153,x9152)+E(x9151,f4(f42(x9152,a1)))+E(x9153,f4(f42(x9152,a1)))+~E(f39(f39(f21(f42(x9152,a1)),x9153),x9151),f4(f42(x9152,a1)))+E(f39(f39(f22(x9152),f39(f11(f22(x9152),x9152),x9153)),f39(f11(f22(x9152),x9152),x9151)),f39(f11(f22(x9152),x9152),f39(f39(f25(f42(x9152,a1)),x9153),x9151))) % 2.19/2.13 [916]~P21(x9162)+~P6(x9161,x9162)+~P6(x9163,x9162)+E(x9161,f4(f42(x9162,a1)))+E(x9163,f4(f42(x9162,a1)))+~E(f39(f39(f21(f42(x9162,a1)),x9163),x9161),f4(f42(x9162,a1)))+E(f39(f39(f23(x9162),f39(f11(f23(x9162),x9162),x9163)),f39(f11(f23(x9162),x9162),x9161)),f39(f11(f23(x9162),x9162),f39(f39(f25(f42(x9162,a1)),x9163),x9161))) % 2.19/2.13 [909]~P6(x9091,x9092)+~P6(x9093,x9092)+~P12(x9094,x9092)+E(x9091,f4(f42(x9092,a1)))+E(x9093,f4(f42(x9092,a1)))+~E(f39(f39(f21(f42(x9092,a1)),x9093),x9091),f4(f42(x9092,a1)))+E(f39(f39(x9094,f39(f11(x9094,x9092),x9093)),f39(f11(x9094,x9092),x9091)),f39(f11(x9094,x9092),f39(f39(f25(f42(x9092,a1)),x9093),x9091))) % 2.19/2.13 [1015]~P6(x10153,x10154)+~P6(x10151,x10152)+~P10(x10155,x10151,x10152,x10154)+~P10(x10156,x10153,x10154,x10152)+~P8(f35(x10155,x10151,x10152,x10154),x10153,f42(x10154,a1))+~P8(f35(x10156,x10153,x10154,x10152),x10151,f42(x10152,a1))+E(f15(x10151,x10152),f15(x10153,x10154)) % 2.19/2.13 %EqnAxiom % 2.19/2.13 [1]E(x11,x11) % 2.19/2.13 [2]E(x22,x21)+~E(x21,x22) % 2.19/2.13 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 2.19/2.13 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 2.19/2.13 [5]~E(x51,x52)+E(f38(x51,x53),f38(x52,x53)) % 2.19/2.13 [6]~E(x61,x62)+E(f38(x63,x61),f38(x63,x62)) % 2.19/2.13 [7]~E(x71,x72)+E(f17(x71,x73,x74,x75,x76),f17(x72,x73,x74,x75,x76)) % 2.19/2.13 [8]~E(x81,x82)+E(f17(x83,x81,x84,x85,x86),f17(x83,x82,x84,x85,x86)) % 2.19/2.13 [9]~E(x91,x92)+E(f17(x93,x94,x91,x95,x96),f17(x93,x94,x92,x95,x96)) % 2.19/2.13 [10]~E(x101,x102)+E(f17(x103,x104,x105,x101,x106),f17(x103,x104,x105,x102,x106)) % 2.19/2.13 [11]~E(x111,x112)+E(f17(x113,x114,x115,x116,x111),f17(x113,x114,x115,x116,x112)) % 2.19/2.13 [12]~E(x121,x122)+E(f39(x121,x123),f39(x122,x123)) % 2.19/2.13 [13]~E(x131,x132)+E(f39(x133,x131),f39(x133,x132)) % 2.19/2.13 [14]~E(x141,x142)+E(f42(x141,x143),f42(x142,x143)) % 2.19/2.13 [15]~E(x151,x152)+E(f42(x153,x151),f42(x153,x152)) % 2.19/2.13 [16]~E(x161,x162)+E(f4(x161),f4(x162)) % 2.19/2.13 [17]~E(x171,x172)+E(f23(x171),f23(x172)) % 2.19/2.13 [18]~E(x181,x182)+E(f25(x181),f25(x182)) % 2.19/2.13 [19]~E(x191,x192)+E(f37(x191,x193,x194),f37(x192,x193,x194)) % 2.19/2.13 [20]~E(x201,x202)+E(f37(x203,x201,x204),f37(x203,x202,x204)) % 2.19/2.13 [21]~E(x211,x212)+E(f37(x213,x214,x211),f37(x213,x214,x212)) % 2.19/2.13 [22]~E(x221,x222)+E(f21(x221),f21(x222)) % 2.19/2.13 [23]~E(x231,x232)+E(f5(x231,x233,x234),f5(x232,x233,x234)) % 2.19/2.13 [24]~E(x241,x242)+E(f5(x243,x241,x244),f5(x243,x242,x244)) % 2.19/2.13 [25]~E(x251,x252)+E(f5(x253,x254,x251),f5(x253,x254,x252)) % 2.19/2.13 [26]~E(x261,x262)+E(f11(x261,x263),f11(x262,x263)) % 2.19/2.13 [27]~E(x271,x272)+E(f11(x273,x271),f11(x273,x272)) % 2.19/2.13 [28]~E(x281,x282)+E(f22(x281),f22(x282)) % 2.19/2.13 [29]~E(x291,x292)+E(f6(x291,x293,x294),f6(x292,x293,x294)) % 2.19/2.13 [30]~E(x301,x302)+E(f6(x303,x301,x304),f6(x303,x302,x304)) % 2.19/2.13 [31]~E(x311,x312)+E(f6(x313,x314,x311),f6(x313,x314,x312)) % 2.19/2.13 [32]~E(x321,x322)+E(f35(x321,x323,x324,x325),f35(x322,x323,x324,x325)) % 2.19/2.13 [33]~E(x331,x332)+E(f35(x333,x331,x334,x335),f35(x333,x332,x334,x335)) % 2.19/2.13 [34]~E(x341,x342)+E(f35(x343,x344,x341,x345),f35(x343,x344,x342,x345)) % 2.19/2.13 [35]~E(x351,x352)+E(f35(x353,x354,x355,x351),f35(x353,x354,x355,x352)) % 2.19/2.13 [36]~E(x361,x362)+E(f27(x361),f27(x362)) % 2.19/2.13 [37]~E(x371,x372)+E(f30(x371,x373,x374),f30(x372,x373,x374)) % 2.19/2.13 [38]~E(x381,x382)+E(f30(x383,x381,x384),f30(x383,x382,x384)) % 2.19/2.13 [39]~E(x391,x392)+E(f30(x393,x394,x391),f30(x393,x394,x392)) % 2.19/2.13 [40]~E(x401,x402)+E(f28(x401),f28(x402)) % 2.19/2.13 [41]~E(x411,x412)+E(f19(x411),f19(x412)) % 2.19/2.13 [42]~E(x421,x422)+E(f34(x421,x423,x424),f34(x422,x423,x424)) % 2.19/2.13 [43]~E(x431,x432)+E(f34(x433,x431,x434),f34(x433,x432,x434)) % 2.19/2.13 [44]~E(x441,x442)+E(f34(x443,x444,x441),f34(x443,x444,x442)) % 2.19/2.13 [45]~E(x451,x452)+E(f15(x451,x453),f15(x452,x453)) % 2.19/2.13 [46]~E(x461,x462)+E(f15(x463,x461),f15(x463,x462)) % 2.19/2.13 [47]~E(x471,x472)+E(f29(x471),f29(x472)) % 2.19/2.13 [48]~E(x481,x482)+E(f36(x481,x483,x484,x485),f36(x482,x483,x484,x485)) % 2.19/2.13 [49]~E(x491,x492)+E(f36(x493,x491,x494,x495),f36(x493,x492,x494,x495)) % 2.19/2.13 [50]~E(x501,x502)+E(f36(x503,x504,x501,x505),f36(x503,x504,x502,x505)) % 2.19/2.13 [51]~E(x511,x512)+E(f36(x513,x514,x515,x511),f36(x513,x514,x515,x512)) % 2.19/2.13 [52]~E(x521,x522)+E(f12(x521,x523,x524,x525),f12(x522,x523,x524,x525)) % 2.19/2.13 [53]~E(x531,x532)+E(f12(x533,x531,x534,x535),f12(x533,x532,x534,x535)) % 2.19/2.13 [54]~E(x541,x542)+E(f12(x543,x544,x541,x545),f12(x543,x544,x542,x545)) % 2.19/2.13 [55]~E(x551,x552)+E(f12(x553,x554,x555,x551),f12(x553,x554,x555,x552)) % 2.19/2.13 [56]~E(x561,x562)+E(f8(x561,x563,x564,x565,x566),f8(x562,x563,x564,x565,x566)) % 2.19/2.13 [57]~E(x571,x572)+E(f8(x573,x571,x574,x575,x576),f8(x573,x572,x574,x575,x576)) % 2.19/2.13 [58]~E(x581,x582)+E(f8(x583,x584,x581,x585,x586),f8(x583,x584,x582,x585,x586)) % 2.19/2.13 [59]~E(x591,x592)+E(f8(x593,x594,x595,x591,x596),f8(x593,x594,x595,x592,x596)) % 2.19/2.13 [60]~E(x601,x602)+E(f8(x603,x604,x605,x606,x601),f8(x603,x604,x605,x606,x602)) % 2.19/2.13 [61]~E(x611,x612)+E(f32(x611,x613,x614),f32(x612,x613,x614)) % 2.19/2.13 [62]~E(x621,x622)+E(f32(x623,x621,x624),f32(x623,x622,x624)) % 2.19/2.13 [63]~E(x631,x632)+E(f32(x633,x634,x631),f32(x633,x634,x632)) % 2.19/2.13 [64]~E(x641,x642)+E(f13(x641,x643),f13(x642,x643)) % 2.19/2.13 [65]~E(x651,x652)+E(f13(x653,x651),f13(x653,x652)) % 2.19/2.13 [66]~E(x661,x662)+E(f14(x661,x663),f14(x662,x663)) % 2.19/2.13 [67]~E(x671,x672)+E(f14(x673,x671),f14(x673,x672)) % 2.19/2.13 [68]~E(x681,x682)+E(f18(x681),f18(x682)) % 2.19/2.13 [69]~E(x691,x692)+E(f7(x691,x693,x694,x695,x696),f7(x692,x693,x694,x695,x696)) % 2.19/2.13 [70]~E(x701,x702)+E(f7(x703,x701,x704,x705,x706),f7(x703,x702,x704,x705,x706)) % 2.19/2.13 [71]~E(x711,x712)+E(f7(x713,x714,x711,x715,x716),f7(x713,x714,x712,x715,x716)) % 2.19/2.13 [72]~E(x721,x722)+E(f7(x723,x724,x725,x721,x726),f7(x723,x724,x725,x722,x726)) % 2.19/2.13 [73]~E(x731,x732)+E(f7(x733,x734,x735,x736,x731),f7(x733,x734,x735,x736,x732)) % 2.19/2.13 [74]~E(x741,x742)+E(f33(x741,x743,x744),f33(x742,x743,x744)) % 2.19/2.13 [75]~E(x751,x752)+E(f33(x753,x751,x754),f33(x753,x752,x754)) % 2.19/2.13 [76]~E(x761,x762)+E(f33(x763,x764,x761),f33(x763,x764,x762)) % 2.19/2.13 [77]~E(x771,x772)+E(f20(x771,x773,x774,x775),f20(x772,x773,x774,x775)) % 2.19/2.13 [78]~E(x781,x782)+E(f20(x783,x781,x784,x785),f20(x783,x782,x784,x785)) % 2.19/2.13 [79]~E(x791,x792)+E(f20(x793,x794,x791,x795),f20(x793,x794,x792,x795)) % 2.19/2.13 [80]~E(x801,x802)+E(f20(x803,x804,x805,x801),f20(x803,x804,x805,x802)) % 2.19/2.13 [81]~E(x811,x812)+E(f24(x811,x813,x814,x815),f24(x812,x813,x814,x815)) % 2.19/2.13 [82]~E(x821,x822)+E(f24(x823,x821,x824,x825),f24(x823,x822,x824,x825)) % 2.19/2.13 [83]~E(x831,x832)+E(f24(x833,x834,x831,x835),f24(x833,x834,x832,x835)) % 2.19/2.13 [84]~E(x841,x842)+E(f24(x843,x844,x845,x841),f24(x843,x844,x845,x842)) % 2.19/2.13 [85]~E(x851,x852)+E(f16(x851,x853,x854,x855,x856),f16(x852,x853,x854,x855,x856)) % 2.19/2.13 [86]~E(x861,x862)+E(f16(x863,x861,x864,x865,x866),f16(x863,x862,x864,x865,x866)) % 2.19/2.13 [87]~E(x871,x872)+E(f16(x873,x874,x871,x875,x876),f16(x873,x874,x872,x875,x876)) % 2.19/2.13 [88]~E(x881,x882)+E(f16(x883,x884,x885,x881,x886),f16(x883,x884,x885,x882,x886)) % 2.19/2.13 [89]~E(x891,x892)+E(f16(x893,x894,x895,x896,x891),f16(x893,x894,x895,x896,x892)) % 2.19/2.13 [90]~E(x901,x902)+E(f26(x901,x903),f26(x902,x903)) % 2.19/2.13 [91]~E(x911,x912)+E(f26(x913,x911),f26(x913,x912)) % 2.19/2.13 [92]~E(x921,x922)+E(f31(x921,x923),f31(x922,x923)) % 2.19/2.13 [93]~E(x931,x932)+E(f31(x933,x931),f31(x933,x932)) % 2.19/2.13 [94]~E(x941,x942)+E(f9(x941,x943,x944,x945,x946),f9(x942,x943,x944,x945,x946)) % 2.19/2.13 [95]~E(x951,x952)+E(f9(x953,x951,x954,x955,x956),f9(x953,x952,x954,x955,x956)) % 2.19/2.13 [96]~E(x961,x962)+E(f9(x963,x964,x961,x965,x966),f9(x963,x964,x962,x965,x966)) % 2.19/2.13 [97]~E(x971,x972)+E(f9(x973,x974,x975,x971,x976),f9(x973,x974,x975,x972,x976)) % 2.19/2.13 [98]~E(x981,x982)+E(f9(x983,x984,x985,x986,x981),f9(x983,x984,x985,x986,x982)) % 2.19/2.13 [99]~E(x991,x992)+E(f10(x991,x993,x994),f10(x992,x993,x994)) % 2.19/2.13 [100]~E(x1001,x1002)+E(f10(x1003,x1001,x1004),f10(x1003,x1002,x1004)) % 2.19/2.13 [101]~E(x1011,x1012)+E(f10(x1013,x1014,x1011),f10(x1013,x1014,x1012)) % 2.19/2.13 [102]~E(x1021,x1022)+E(f48(x1021),f48(x1022)) % 2.19/2.13 [103]~E(x1031,x1032)+E(f49(x1031,x1033,x1034,x1035),f49(x1032,x1033,x1034,x1035)) % 2.19/2.13 [104]~E(x1041,x1042)+E(f49(x1043,x1041,x1044,x1045),f49(x1043,x1042,x1044,x1045)) % 2.19/2.13 [105]~E(x1051,x1052)+E(f49(x1053,x1054,x1051,x1055),f49(x1053,x1054,x1052,x1055)) % 2.19/2.13 [106]~E(x1061,x1062)+E(f49(x1063,x1064,x1065,x1061),f49(x1063,x1064,x1065,x1062)) % 2.19/2.13 [107]~P1(x1071)+P1(x1072)+~E(x1071,x1072) % 2.19/2.13 [108]P7(x1082,x1083,x1084,x1085,x1086,x1087,x1088,x1089,x10810)+~E(x1081,x1082)+~P7(x1081,x1083,x1084,x1085,x1086,x1087,x1088,x1089,x10810) % 2.19/2.13 [109]P7(x1093,x1092,x1094,x1095,x1096,x1097,x1098,x1099,x10910)+~E(x1091,x1092)+~P7(x1093,x1091,x1094,x1095,x1096,x1097,x1098,x1099,x10910) % 2.19/2.13 [110]P7(x1103,x1104,x1102,x1105,x1106,x1107,x1108,x1109,x11010)+~E(x1101,x1102)+~P7(x1103,x1104,x1101,x1105,x1106,x1107,x1108,x1109,x11010) % 2.19/2.13 [111]P7(x1113,x1114,x1115,x1112,x1116,x1117,x1118,x1119,x11110)+~E(x1111,x1112)+~P7(x1113,x1114,x1115,x1111,x1116,x1117,x1118,x1119,x11110) % 2.19/2.13 [112]P7(x1123,x1124,x1125,x1126,x1122,x1127,x1128,x1129,x11210)+~E(x1121,x1122)+~P7(x1123,x1124,x1125,x1126,x1121,x1127,x1128,x1129,x11210) % 2.19/2.13 [113]P7(x1133,x1134,x1135,x1136,x1137,x1132,x1138,x1139,x11310)+~E(x1131,x1132)+~P7(x1133,x1134,x1135,x1136,x1137,x1131,x1138,x1139,x11310) % 2.19/2.13 [114]P7(x1143,x1144,x1145,x1146,x1147,x1148,x1142,x1149,x11410)+~E(x1141,x1142)+~P7(x1143,x1144,x1145,x1146,x1147,x1148,x1141,x1149,x11410) % 2.19/2.13 [115]P7(x1153,x1154,x1155,x1156,x1157,x1158,x1159,x1152,x11510)+~E(x1151,x1152)+~P7(x1153,x1154,x1155,x1156,x1157,x1158,x1159,x1151,x11510) % 2.19/2.13 [116]P7(x1163,x1164,x1165,x1166,x1167,x1168,x1169,x11610,x1162)+~E(x1161,x1162)+~P7(x1163,x1164,x1165,x1166,x1167,x1168,x1169,x11610,x1161) % 2.19/2.13 [117]~P2(x1171)+P2(x1172)+~E(x1171,x1172) % 2.19/2.13 [118]~P46(x1181)+P46(x1182)+~E(x1181,x1182) % 2.19/2.13 [119]~P3(x1191)+P3(x1192)+~E(x1191,x1192) % 2.19/2.13 [120]~P37(x1201)+P37(x1202)+~E(x1201,x1202) % 2.19/2.13 [121]~P16(x1211)+P16(x1212)+~E(x1211,x1212) % 2.19/2.13 [122]~P17(x1221)+P17(x1222)+~E(x1221,x1222) % 2.19/2.13 [123]P9(x1232,x1233,x1234)+~E(x1231,x1232)+~P9(x1231,x1233,x1234) % 2.19/2.13 [124]P9(x1243,x1242,x1244)+~E(x1241,x1242)+~P9(x1243,x1241,x1244) % 2.19/2.13 [125]P9(x1253,x1254,x1252)+~E(x1251,x1252)+~P9(x1253,x1254,x1251) % 2.19/2.13 [126]~P18(x1261)+P18(x1262)+~E(x1261,x1262) % 2.19/2.13 [127]P10(x1272,x1273,x1274,x1275)+~E(x1271,x1272)+~P10(x1271,x1273,x1274,x1275) % 2.19/2.13 [128]P10(x1283,x1282,x1284,x1285)+~E(x1281,x1282)+~P10(x1283,x1281,x1284,x1285) % 2.19/2.13 [129]P10(x1293,x1294,x1292,x1295)+~E(x1291,x1292)+~P10(x1293,x1294,x1291,x1295) % 2.19/2.13 [130]P10(x1303,x1304,x1305,x1302)+~E(x1301,x1302)+~P10(x1303,x1304,x1305,x1301) % 2.19/2.13 [131]~P19(x1311)+P19(x1312)+~E(x1311,x1312) % 2.19/2.13 [132]P8(x1322,x1323,x1324)+~E(x1321,x1322)+~P8(x1321,x1323,x1324) % 2.19/2.13 [133]P8(x1333,x1332,x1334)+~E(x1331,x1332)+~P8(x1333,x1331,x1334) % 2.19/2.13 [134]P8(x1343,x1344,x1342)+~E(x1341,x1342)+~P8(x1343,x1344,x1341) % 2.19/2.13 [135]~P21(x1351)+P21(x1352)+~E(x1351,x1352) % 2.19/2.13 [136]~P4(x1361)+P4(x1362)+~E(x1361,x1362) % 2.19/2.13 [137]P6(x1372,x1373)+~E(x1371,x1372)+~P6(x1371,x1373) % 2.19/2.13 [138]P6(x1383,x1382)+~E(x1381,x1382)+~P6(x1383,x1381) % 2.19/2.13 [139]~P28(x1391)+P28(x1392)+~E(x1391,x1392) % 2.19/2.13 [140]~P29(x1401)+P29(x1402)+~E(x1401,x1402) % 2.19/2.13 [141]~P30(x1411)+P30(x1412)+~E(x1411,x1412) % 2.19/2.13 [142]~P20(x1421)+P20(x1422)+~E(x1421,x1422) % 2.19/2.13 [143]P12(x1432,x1433)+~E(x1431,x1432)+~P12(x1431,x1433) % 2.19/2.13 [144]P12(x1443,x1442)+~E(x1441,x1442)+~P12(x1443,x1441) % 2.19/2.13 [145]~P5(x1451)+P5(x1452)+~E(x1451,x1452) % 2.19/2.13 [146]~P22(x1461)+P22(x1462)+~E(x1461,x1462) % 2.19/2.13 [147]~P24(x1471)+P24(x1472)+~E(x1471,x1472) % 2.19/2.13 [148]~P38(x1481)+P38(x1482)+~E(x1481,x1482) % 2.19/2.13 [149]~P40(x1491)+P40(x1492)+~E(x1491,x1492) % 2.19/2.13 [150]~P26(x1501)+P26(x1502)+~E(x1501,x1502) % 2.19/2.13 [151]~P27(x1511)+P27(x1512)+~E(x1511,x1512) % 2.19/2.13 [152]~P13(x1521)+P13(x1522)+~E(x1521,x1522) % 2.19/2.13 [153]~P25(x1531)+P25(x1532)+~E(x1531,x1532) % 2.19/2.13 [154]~P14(x1541)+P14(x1542)+~E(x1541,x1542) % 2.19/2.13 [155]~P36(x1551)+P36(x1552)+~E(x1551,x1552) % 2.19/2.13 [156]~P47(x1561)+P47(x1562)+~E(x1561,x1562) % 2.19/2.13 [157]~P39(x1571)+P39(x1572)+~E(x1571,x1572) % 2.19/2.13 [158]~P35(x1581)+P35(x1582)+~E(x1581,x1582) % 2.19/2.13 [159]~P44(x1591)+P44(x1592)+~E(x1591,x1592) % 2.19/2.13 [160]~P33(x1601)+P33(x1602)+~E(x1601,x1602) % 2.19/2.13 [161]~P23(x1611)+P23(x1612)+~E(x1611,x1612) % 2.19/2.13 [162]P11(x1622,x1623,x1624)+~E(x1621,x1622)+~P11(x1621,x1623,x1624) % 2.19/2.13 [163]P11(x1633,x1632,x1634)+~E(x1631,x1632)+~P11(x1633,x1631,x1634) % 2.19/2.13 [164]P11(x1643,x1644,x1642)+~E(x1641,x1642)+~P11(x1643,x1644,x1641) % 2.19/2.13 [165]~P45(x1651)+P45(x1652)+~E(x1651,x1652) % 2.19/2.13 [166]~P42(x1661)+P42(x1662)+~E(x1661,x1662) % 2.19/2.13 [167]~P15(x1671)+P15(x1672)+~E(x1671,x1672) % 2.19/2.13 [168]~P31(x1681)+P31(x1682)+~E(x1681,x1682) % 2.19/2.13 [169]~P32(x1691)+P32(x1692)+~E(x1691,x1692) % 2.19/2.13 [170]~P43(x1701)+P43(x1702)+~E(x1701,x1702) % 2.19/2.13 [171]~P34(x1711)+P34(x1712)+~E(x1711,x1712) % 2.19/2.13 [172]~P41(x1721)+P41(x1722)+~E(x1721,x1722) % 2.19/2.13 % 2.19/2.13 %------------------------------------------- % 2.19/2.14 cnf(1113,plain, % 2.19/2.14 (~P46(f37(f30(f39(a47,a46),f4(f42(a40,a1)),a40),f39(a45,f35(a47,a43,a2,a40)),x11131))), % 2.19/2.14 inference(scs_inference,[],[341,535])). % 2.19/2.14 cnf(1120,plain, % 2.19/2.14 (P6(x11201,a1)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,203,535,555,886,2,344])). % 2.19/2.14 cnf(1123,plain, % 2.19/2.14 (~P8(f3(x11231),x11231,a41)), % 2.19/2.14 inference(rename_variables,[],[331])). % 2.19/2.14 cnf(1126,plain, % 2.19/2.14 (E(f16(x11261,x11262,f39(x11261,x11262),x11263,x11264),x11261)), % 2.19/2.14 inference(rename_variables,[],[301])). % 2.19/2.14 cnf(1130,plain, % 2.19/2.14 (P8(x11301,f3(x11301),a41)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,331,1123,173,203,301,535,555,886,2,344,371,386,388,396])). % 2.19/2.14 cnf(1132,plain, % 2.19/2.14 (~P9(f3(x11321),x11321,a41)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,331,1123,173,203,301,535,555,886,2,344,371,386,388,396,424])). % 2.19/2.14 cnf(1134,plain, % 2.19/2.14 (~P9(f3(f3(x11341)),x11341,a41)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,331,1123,173,203,301,535,555,886,2,344,371,386,388,396,424,428])). % 2.19/2.14 cnf(1136,plain, % 2.19/2.14 (~P8(f3(f3(x11361)),x11361,a41)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,331,1123,173,203,301,535,555,886,2,344,371,386,388,396,424,428,429])). % 2.19/2.14 cnf(1138,plain, % 2.19/2.14 (~P8(f3(f3(f3(x11381))),x11381,a41)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,331,1123,173,203,301,535,555,886,2,344,371,386,388,396,424,428,429,431])). % 2.19/2.14 cnf(1140,plain, % 2.19/2.14 (P9(x11401,f3(f3(x11401)),a41)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,211,331,1123,173,203,301,535,555,886,2,344,371,386,388,396,424,428,429,431,446])). % 2.19/2.14 cnf(1141,plain, % 2.19/2.14 (P9(x11411,f3(x11411),a41)), % 2.19/2.14 inference(rename_variables,[],[211])). % 2.19/2.14 cnf(1145,plain, % 2.19/2.14 (P8(x11451,f3(f3(x11451)),a41)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,211,331,1123,173,203,301,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477])). % 2.19/2.14 cnf(1147,plain, % 2.19/2.14 (P46(f37(x11471,f30(x11471,x11472,x11473),x11474))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,211,331,1123,173,203,301,242,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479])). % 2.19/2.14 cnf(1152,plain, % 2.19/2.14 (~E(f3(x11521),x11521)), % 2.19/2.14 inference(rename_variables,[],[327])). % 2.19/2.14 cnf(1157,plain, % 2.19/2.14 (P8(f12(f4(f42(x11571,a1)),x11572,x11571,f42(x11573,a1)),x11574,f42(x11573,a1))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,327,211,331,1123,173,203,301,282,242,306,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623])). % 2.19/2.14 cnf(1166,plain, % 2.19/2.14 (~P8(f30(x11661,x11662,x11663),f4(f42(x11663,a1)),f42(x11663,a1))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,327,211,331,1123,173,203,301,262,282,253,242,306,339,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712])). % 2.19/2.14 cnf(1171,plain, % 2.19/2.14 (~E(f3(x11711),x11711)), % 2.19/2.14 inference(rename_variables,[],[327])). % 2.19/2.14 cnf(1176,plain, % 2.19/2.14 (P8(f5(x11761,x11762,f42(x11763,a1)),x11761,f42(x11763,a1))), % 2.19/2.14 inference(rename_variables,[],[240])). % 2.19/2.14 cnf(1179,plain, % 2.19/2.14 (P8(f5(x11791,x11792,f42(x11793,a1)),x11791,f42(x11793,a1))), % 2.19/2.14 inference(rename_variables,[],[240])). % 2.19/2.14 cnf(1181,plain, % 2.19/2.14 (P8(x11811,f30(x11812,f39(f39(f25(f42(x11813,a1)),x11814),x11811),x11813),f42(x11813,a1))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845])). % 2.19/2.14 cnf(1182,plain, % 2.19/2.14 (P8(x11821,f30(x11822,x11821,x11823),f42(x11823,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1185,plain, % 2.19/2.14 (P8(x11851,f30(x11852,x11851,x11853),f42(x11853,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1187,plain, % 2.19/2.14 (E(x11871,f26(f30(x11871,f4(f42(x11872,a1)),x11872),x11872))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,1182,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859])). % 2.19/2.14 cnf(1189,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x11891,a1)),x11892),x11893),x11892,f42(x11891,a1)),x11893,f42(x11891,a1))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,1182,215,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882])). % 2.19/2.14 cnf(1190,plain, % 2.19/2.14 (P8(x11901,x11901,f42(x11902,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1193,plain, % 2.19/2.14 (P46(f39(f30(x11931,x11932,x11933),x11931))), % 2.19/2.14 inference(rename_variables,[],[242])). % 2.19/2.14 cnf(1195,plain, % 2.19/2.14 (P10(f24(x11951,x11952,x11953,x11954),f35(x11952,x11951,x11953,x11954),x11954,x11953)), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,1182,215,1190,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985])). % 2.19/2.14 cnf(1196,plain, % 2.19/2.14 (P8(x11961,x11961,f42(x11962,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1198,plain, % 2.19/2.14 (~P46(f39(f36(x11981,f4(f42(x11982,a1)),x11983,x11984),x11985))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,1182,215,1190,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,336,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987])). % 2.19/2.14 cnf(1199,plain, % 2.19/2.14 (~P46(f39(f4(f42(x11991,a1)),x11992))), % 2.19/2.14 inference(rename_variables,[],[336])). % 2.19/2.14 cnf(1202,plain, % 2.19/2.14 (~P46(f37(x12021,f4(f42(x12022,a1)),x12022))), % 2.19/2.14 inference(rename_variables,[],[339])). % 2.19/2.14 cnf(1207,plain, % 2.19/2.14 (~P46(f37(x12071,f4(f42(x12072,a1)),x12072))), % 2.19/2.14 inference(rename_variables,[],[339])). % 2.19/2.14 cnf(1211,plain, % 2.19/2.14 (E(f39(x12111,f8(f27(f42(x12112,a1)),x12111,f39(x12111,x12113),x12112,x12114)),f39(x12111,x12113))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,1182,215,1190,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,1202,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034])). % 2.19/2.14 cnf(1214,plain, % 2.19/2.14 (~P46(f37(x12141,f4(f42(x12142,a1)),x12142))), % 2.19/2.14 inference(rename_variables,[],[339])). % 2.19/2.14 cnf(1216,plain, % 2.19/2.14 (~P46(f37(x12161,f35(x12162,f36(x12163,f4(f42(x12164,a1)),x12165,x12164),x12165,x12166),x12166))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,1182,215,1190,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,1202,1207,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049])). % 2.19/2.14 cnf(1218,plain, % 2.19/2.14 (~P46(f37(x12181,f35(x12182,f35(x12183,f4(f42(x12184,a1)),x12184,x12185),x12185,x12186),x12186))), % 2.19/2.14 inference(scs_inference,[],[241,216,341,230,1182,215,1190,327,1152,211,331,1123,240,1176,173,203,301,262,282,253,242,306,339,1202,1207,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050])). % 2.19/2.14 cnf(1221,plain, % 2.19/2.14 (P8(f5(x12211,x12212,f42(x12213,a1)),x12211,f42(x12213,a1))), % 2.19/2.14 inference(rename_variables,[],[240])). % 2.19/2.14 cnf(1223,plain, % 2.19/2.14 (P8(x12231,f14(f30(x12231,x12232,a1),a1),a1)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,215,1190,327,1152,211,331,1123,240,1176,1179,173,194,203,301,262,282,253,256,242,306,339,1202,1207,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605])). % 2.19/2.14 cnf(1224,plain, % 2.19/2.14 (P46(f37(x12241,f30(x12241,x12242,x12243),x12243))), % 2.19/2.14 inference(rename_variables,[],[256])). % 2.19/2.14 cnf(1226,plain, % 2.19/2.14 (P8(f13(f30(x12261,x12262,a1),a1),x12261,a1)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,215,1190,327,1152,211,331,1123,240,1176,1179,173,194,203,301,262,282,253,256,1224,242,306,339,1202,1207,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606])). % 2.19/2.14 cnf(1230,plain, % 2.19/2.14 (~P46(f37(x12301,f4(f42(x12302,a1)),x12302))), % 2.19/2.14 inference(rename_variables,[],[339])). % 2.19/2.14 cnf(1233,plain, % 2.19/2.14 (~P9(x12331,x12331,f42(x12332,a1))), % 2.19/2.14 inference(rename_variables,[],[332])). % 2.19/2.14 cnf(1235,plain, % 2.19/2.14 (P8(f30(a46,a43,a2),a43,f42(a2,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,215,1190,1196,332,327,1152,211,331,1123,240,1176,1179,173,194,203,301,262,282,253,256,1224,242,306,339,1202,1207,1214,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763])). % 2.19/2.14 cnf(1236,plain, % 2.19/2.14 (P8(x12361,x12361,f42(x12362,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1239,plain, % 2.19/2.14 (~P9(x12391,x12391,f42(x12392,a1))), % 2.19/2.14 inference(rename_variables,[],[332])). % 2.19/2.14 cnf(1241,plain, % 2.19/2.14 (~P46(f37(a46,f5(x12411,a43,f42(a2,a1)),a2))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,215,1190,1196,332,1233,327,1152,211,331,1123,240,1176,1179,173,194,203,301,262,282,253,256,1224,242,306,339,1202,1207,1214,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823])). % 2.19/2.14 cnf(1247,plain, % 2.19/2.14 (P8(x12471,x12471,f42(x12472,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1252,plain, % 2.19/2.14 (~P46(f37(x12521,f4(f42(x12522,a1)),x12522))), % 2.19/2.14 inference(rename_variables,[],[339])). % 2.19/2.14 cnf(1254,plain, % 2.19/2.14 (P8(f39(x12541,a46),f30(x12542,f12(a43,x12541,a2,f42(x12543,a1)),x12543),f42(x12543,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,1185,215,1190,1196,1236,332,1233,327,1152,211,331,1123,240,1176,1179,173,194,203,301,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950])). % 2.19/2.14 cnf(1255,plain, % 2.19/2.14 (P8(x12551,f30(x12552,x12551,x12553),f42(x12553,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1257,plain, % 2.19/2.14 (P8(a43,f30(a46,f30(x12571,f5(a43,f30(a46,f4(f42(a2,a1)),a2),f42(a2,a1)),a2),a2),f42(a2,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,211,331,1123,240,1176,1179,173,194,203,301,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965])). % 2.19/2.14 cnf(1258,plain, % 2.19/2.14 (P8(x12581,f30(x12582,x12581,x12583),f42(x12583,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1261,plain, % 2.19/2.14 (~E(f3(x12611),x12611)), % 2.19/2.14 inference(rename_variables,[],[327])). % 2.19/2.14 cnf(1262,plain, % 2.19/2.14 (P1(f26(f30(a1,f4(f42(x12621,a1)),x12621),x12621))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,331,1123,240,1176,1179,173,194,203,301,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107])). % 2.19/2.14 cnf(1263,plain, % 2.19/2.14 (P2(f26(f30(a1,f4(f42(x12631,a1)),x12631),x12631))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,331,1123,240,1176,1179,173,175,194,203,301,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117])). % 2.19/2.14 cnf(1265,plain, % 2.19/2.14 (E(f16(x12651,x12652,f39(x12651,x12652),x12653,x12654),x12651)), % 2.19/2.14 inference(rename_variables,[],[301])). % 2.19/2.14 cnf(1266,plain, % 2.19/2.14 (P3(f26(f30(a1,f4(f42(x12661,a1)),x12661),x12661))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,331,1123,240,1176,1179,173,175,177,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119])). % 2.19/2.14 cnf(1267,plain, % 2.19/2.14 (P17(f26(f30(a1,f4(f42(x12671,a1)),x12671),x12671))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,331,1123,240,1176,1179,173,175,177,180,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122])). % 2.19/2.14 cnf(1268,plain, % 2.19/2.14 (~E(x12681,f3(x12681))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,1141,331,1123,240,1176,1179,173,175,177,180,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123])). % 2.19/2.14 cnf(1269,plain, % 2.19/2.14 (~P9(x12691,x12691,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1270,plain, % 2.19/2.14 (~E(f3(f3(x12701)),x12701)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,1141,331,1123,240,1176,1179,173,175,177,180,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124])). % 2.19/2.14 cnf(1271,plain, % 2.19/2.14 (P18(f26(f30(a1,f4(f42(x12711,a1)),x12711),x12711))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,1141,331,1123,240,1176,1179,173,175,177,180,182,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126])). % 2.19/2.14 cnf(1272,plain, % 2.19/2.14 (P10(f24(a43,a47,a2,a40),a44,a40,a2)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,211,1141,331,1123,240,1176,1179,173,175,177,180,182,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128])). % 2.19/2.14 cnf(1274,plain, % 2.19/2.14 (P10(x12741,f4(f42(x12742,a1)),x12742,x12743)), % 2.19/2.14 inference(rename_variables,[],[250])). % 2.19/2.14 cnf(1275,plain, % 2.19/2.14 (P10(x12751,f12(f4(f42(x12752,a1)),x12753,x12752,f42(a1,a1)),a1,f26(f30(a1,f4(f42(x12754,a1)),x12754),x12754))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,173,175,177,180,182,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130])). % 2.19/2.14 cnf(1276,plain, % 2.19/2.14 (P19(f26(f30(a1,f4(f42(x12761,a1)),x12761),x12761))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,173,175,177,180,182,184,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131])). % 2.19/2.14 cnf(1278,plain, % 2.19/2.14 (P8(x12781,f30(x12782,x12781,x12783),f42(x12783,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1280,plain, % 2.19/2.14 (P8(x12801,f30(x12802,x12801,x12803),f42(x12803,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1282,plain, % 2.19/2.14 (P8(x12821,f27(f42(x12822,a1)),f42(x12822,a1))), % 2.19/2.14 inference(rename_variables,[],[219])). % 2.19/2.14 cnf(1283,plain, % 2.19/2.14 (P4(f26(f30(a1,f4(f42(x12831,a1)),x12831),x12831))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,175,177,180,182,184,187,194,203,301,1126,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136])). % 2.19/2.14 cnf(1287,plain, % 2.19/2.14 (P20(f26(f30(a1,f4(f42(x12871,a1)),x12871),x12871))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,175,177,180,182,184,187,192,194,203,301,1126,213,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142])). % 2.19/2.14 cnf(1288,plain, % 2.19/2.14 (P5(f26(f30(a1,f4(f42(x12881,a1)),x12881),x12881))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,175,177,180,182,184,187,192,194,203,301,1126,213,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145])). % 2.19/2.14 cnf(1289,plain, % 2.19/2.14 (P13(f26(f30(a1,f4(f42(x12891,a1)),x12891),x12891))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,175,177,180,182,184,187,192,194,201,203,301,1126,213,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152])). % 2.19/2.14 cnf(1290,plain, % 2.19/2.14 (P14(f26(f30(a1,f4(f42(x12901,a1)),x12901),x12901))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,175,177,180,182,184,187,192,194,201,203,301,1126,213,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154])). % 2.19/2.14 cnf(1291,plain, % 2.19/2.14 (P36(f26(f30(a1,f4(f42(x12911,a1)),x12911),x12911))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,175,177,180,182,184,187,192,194,201,203,204,301,1126,213,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155])). % 2.19/2.14 cnf(1292,plain, % 2.19/2.14 (~P39(f16(a41,x12921,f39(a41,x12921),x12922,x12923))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,175,177,180,182,184,187,192,194,201,203,204,301,1126,1265,213,262,282,253,256,1224,242,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157])). % 2.19/2.14 cnf(1293,plain, % 2.19/2.14 (E(f16(x12931,x12932,f39(x12931,x12932),x12933,x12934),x12931)), % 2.19/2.14 inference(rename_variables,[],[301])). % 2.19/2.14 cnf(1303,plain, % 2.19/2.14 (E(f5(f5(x13031,f30(x13032,f4(f42(x13033,a1)),x13033),f42(x13033,a1)),x13034,f42(x13033,a1)),f5(x13031,f30(x13032,x13034,x13033),f42(x13033,a1)))), % 2.19/2.14 inference(rename_variables,[],[285])). % 2.19/2.14 cnf(1306,plain, % 2.19/2.14 (~P8(f30(f30(f39(a47,a46),f4(f42(a40,a1)),a40),x13061,x13062),f39(a45,f35(a47,a43,a2,a40)),f42(x13063,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,173,174,175,177,180,182,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529])). % 2.19/2.14 cnf(1310,plain, % 2.19/2.14 (P8(x13101,f30(x13102,x13101,x13103),f42(x13103,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1315,plain, % 2.19/2.14 (P8(x13151,f30(x13152,x13151,x13153),f42(x13153,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1318,plain, % 2.19/2.14 (~P9(f39(f39(f25(a41),x13181),x13182),x13182,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,1282,173,174,175,177,180,181,182,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577])). % 2.19/2.14 cnf(1319,plain, % 2.19/2.14 (~P9(x13191,x13191,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1322,plain, % 2.19/2.14 (~P9(x13221,x13221,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1325,plain, % 2.19/2.14 (~P9(x13251,x13251,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1327,plain, % 2.19/2.14 (~P9(f39(f39(f29(a41),x13271),x13272),x13271,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,1319,1322,1325,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582])). % 2.19/2.14 cnf(1328,plain, % 2.19/2.14 (~P9(x13281,x13281,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1330,plain, % 2.19/2.14 (~P9(x13301,f39(f39(f21(a41),x13302),x13301),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,329,1269,1319,1322,1325,1328,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589])). % 2.19/2.14 cnf(1331,plain, % 2.19/2.14 (~P9(x13311,x13311,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1334,plain, % 2.19/2.14 (~P9(x13341,x13341,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1337,plain, % 2.19/2.14 (~P9(x13371,x13371,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1340,plain, % 2.19/2.14 (~P9(x13401,x13401,a41)), % 2.19/2.14 inference(rename_variables,[],[329])). % 2.19/2.14 cnf(1342,plain, % 2.19/2.14 (P8(f39(f39(f28(a41),x13421),x13422),x13422,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628])). % 2.19/2.14 cnf(1343,plain, % 2.19/2.14 (P8(x13431,x13431,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1345,plain, % 2.19/2.14 (P8(f39(f39(f28(a41),x13451),x13452),x13451,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630])). % 2.19/2.14 cnf(1346,plain, % 2.19/2.14 (P8(x13461,x13461,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1348,plain, % 2.19/2.14 (P8(f39(f39(f21(a41),x13481),x13482),x13482,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632])). % 2.19/2.14 cnf(1349,plain, % 2.19/2.14 (P8(x13491,x13491,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1352,plain, % 2.19/2.14 (P8(x13521,x13521,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1355,plain, % 2.19/2.14 (P9(x13551,f3(x13551),a41)), % 2.19/2.14 inference(rename_variables,[],[211])). % 2.19/2.14 cnf(1357,plain, % 2.19/2.14 (P9(x13571,f3(f39(f39(f29(a41),x13571),x13572)),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,1355,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636])). % 2.19/2.14 cnf(1358,plain, % 2.19/2.14 (P9(x13581,f3(x13581),a41)), % 2.19/2.14 inference(rename_variables,[],[211])). % 2.19/2.14 cnf(1361,plain, % 2.19/2.14 (P8(x13611,x13611,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1363,plain, % 2.19/2.14 (P8(x13631,f39(f39(f29(a41),x13631),x13632),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,215,1190,1196,1236,332,1233,327,1152,1171,250,211,1141,1355,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640])). % 2.19/2.14 cnf(1364,plain, % 2.19/2.14 (P8(x13641,x13641,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1367,plain, % 2.19/2.14 (P8(x13671,x13671,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1370,plain, % 2.19/2.14 (P8(x13701,x13701,a41)), % 2.19/2.14 inference(rename_variables,[],[209])). % 2.19/2.14 cnf(1372,plain, % 2.19/2.14 (~P9(f30(x13721,x13722,x13723),x13722,f42(x13723,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,215,1190,1196,1236,332,1233,1239,327,1152,1171,250,211,1141,1355,331,1123,240,1176,1179,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663])). % 2.19/2.14 cnf(1373,plain, % 2.19/2.14 (P8(x13731,f30(x13732,x13731,x13733),f42(x13733,a1))), % 2.19/2.14 inference(rename_variables,[],[230])). % 2.19/2.14 cnf(1375,plain, % 2.19/2.14 (~P9(x13751,f5(x13751,x13752,f42(x13753,a1)),f42(x13753,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,215,1190,1196,1236,332,1233,1239,327,1152,1171,250,211,1141,1355,331,1123,240,1176,1179,1221,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664])). % 2.19/2.14 cnf(1376,plain, % 2.19/2.14 (P8(f5(x13761,x13762,f42(x13763,a1)),x13761,f42(x13763,a1))), % 2.19/2.14 inference(rename_variables,[],[240])). % 2.19/2.14 cnf(1379,plain, % 2.19/2.14 (P8(f5(x13791,x13792,f42(x13793,a1)),x13791,f42(x13793,a1))), % 2.19/2.14 inference(rename_variables,[],[240])). % 2.19/2.14 cnf(1391,plain, % 2.19/2.14 (~P23(f16(f42(x13911,a1),x13912,f39(f42(x13911,a1),x13912),x13913,x13914))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,331,1123,240,1176,1179,1221,1376,1379,219,1282,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161])). % 2.19/2.14 cnf(1392,plain, % 2.19/2.14 (E(f16(x13921,x13922,f39(x13921,x13922),x13923,x13924),x13921)), % 2.19/2.14 inference(rename_variables,[],[301])). % 2.19/2.14 cnf(1393,plain, % 2.19/2.14 (~P9(a43,f30(a46,f4(f42(a2,a1)),a2),f42(a2,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948])). % 2.19/2.14 cnf(1394,plain, % 2.19/2.14 (~P46(f37(x13941,f4(f42(x13942,a1)),x13942))), % 2.19/2.14 inference(rename_variables,[],[339])). % 2.19/2.14 cnf(1397,plain, % 2.19/2.14 (P9(f39(f39(f25(a41),x13971),x13972),f3(f3(f3(f39(f39(f25(a41),x13971),x13972)))),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559])). % 2.19/2.14 cnf(1398,plain, % 2.19/2.14 (P9(x13981,f3(x13981),a41)), % 2.19/2.14 inference(rename_variables,[],[211])). % 2.19/2.14 cnf(1400,plain, % 2.19/2.14 (P9(x14001,f3(f39(f39(f29(a41),x14002),f3(x14001))),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562])). % 2.19/2.14 cnf(1408,plain, % 2.19/2.14 (P8(x14081,x14081,f42(x14082,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1410,plain, % 2.19/2.14 (P9(f4(f42(x14101,a1)),f30(x14102,f4(f42(x14101,a1)),x14101),f42(x14101,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795])). % 2.19/2.14 cnf(1412,plain, % 2.19/2.14 (~P46(f37(x14121,f4(f42(x14122,a1)),x14122))), % 2.19/2.14 inference(rename_variables,[],[339])). % 2.19/2.14 cnf(1413,plain, % 2.19/2.14 (P8(x14131,x14131,f42(x14132,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1415,plain, % 2.19/2.14 (P9(f4(f42(x14151,a1)),f30(x14152,f30(x14153,f4(f42(x14151,a1)),x14151),x14151),f42(x14151,a1))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801])). % 2.19/2.14 cnf(1420,plain, % 2.19/2.14 (P8(x14201,x14201,f42(x14202,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1425,plain, % 2.19/2.14 (~P9(x14251,x14251,f26(f30(a1,f4(f42(x14252,a1)),x14252),x14252))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389])). % 2.19/2.14 cnf(1429,plain, % 2.19/2.14 (P8(x14291,f39(f39(f29(a41),x14292),f3(x14291)),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445])). % 2.19/2.14 cnf(1433,plain, % 2.19/2.14 (P9(x14331,f39(f39(f29(a41),f3(x14331)),x14332),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476])). % 2.19/2.14 cnf(1435,plain, % 2.19/2.14 (~P9(f39(f39(f29(a41),x14351),f3(x14352)),x14352,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507])). % 2.19/2.14 cnf(1437,plain, % 2.19/2.14 (~P8(f39(f39(f29(a41),x14371),f3(x14372)),x14372,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508])). % 2.19/2.14 cnf(1442,plain, % 2.19/2.14 (~P8(f39(f39(f29(a41),x14421),f3(f39(f39(f25(a41),x14422),x14423))),x14423,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508,997,120,583])). % 2.19/2.14 cnf(1444,plain, % 2.19/2.14 (~P8(f39(f39(f29(a41),x14441),f3(f39(f39(f25(a41),x14442),x14443))),x14442,a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508,997,120,583,584])). % 2.19/2.14 cnf(1450,plain, % 2.19/2.14 (~P32(f16(f42(x14501,a1),x14502,f39(f42(x14501,a1),x14502),x14503,x14504))), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,1392,285,1303,213,334,262,282,253,256,1224,242,1193,306,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508,997,120,583,584,586,588,169])). % 2.19/2.14 cnf(1452,plain, % 2.19/2.14 (~P6(f27(f42(a41,a1)),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,1392,285,1303,213,334,262,282,253,256,1224,242,1193,306,233,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508,997,120,583,584,586,588,169,620])). % 2.19/2.14 cnf(1455,plain, % 2.19/2.14 (~P9(f3(x14551),f39(f39(f29(a41),f3(x14551)),x14551),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,329,1269,1319,1322,1325,1328,1331,1334,1337,1340,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,1392,285,1303,213,334,262,282,253,256,1224,242,1193,306,233,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508,997,120,583,584,586,588,169,620,678])). % 2.19/2.14 cnf(1458,plain, % 2.19/2.14 (~P8(f3(f39(f39(f25(a41),f39(f18(a41),f27(f42(a41,a1)))),f39(f39(f29(a41),x14581),x14582))),f39(f39(f29(a41),x14581),x14582),a41)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,1370,329,1269,1319,1322,1325,1328,1331,1334,1337,1340,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,1392,285,1303,213,334,262,282,253,256,1224,242,1193,306,233,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508,997,120,583,584,586,588,169,620,678,684])). % 2.19/2.14 cnf(1462,plain, % 2.19/2.14 (P9(x14621,f3(x14621),x14622)+~E(a41,x14622)), % 2.19/2.14 inference(scs_inference,[],[207,241,216,341,209,1343,1346,1349,1352,1361,1364,1367,1370,329,1269,1319,1322,1325,1328,1331,1334,1337,1340,230,1182,1185,1255,1258,1278,1280,1310,1315,1373,215,1190,1196,1236,1247,1408,1413,1420,332,1233,1239,327,1152,1171,1261,250,1274,211,1141,1355,1358,1398,331,1123,240,1176,1179,1221,1376,1379,219,1282,335,173,174,175,176,177,179,180,181,182,183,184,187,192,194,199,200,201,203,204,301,1126,1265,1293,1392,285,1303,213,334,262,282,253,256,1224,242,1193,306,233,339,1202,1207,1214,1230,1252,1394,1412,336,1199,303,302,535,555,886,2,344,371,386,388,396,424,428,429,431,446,449,477,479,526,556,618,623,624,688,703,712,718,751,804,843,844,845,846,859,882,933,985,987,996,1021,1026,1033,1034,1047,1049,1050,481,605,606,717,762,763,802,823,872,904,936,949,950,965,3,107,117,118,119,122,123,124,126,128,129,130,131,132,133,134,136,137,138,142,145,152,154,155,157,458,501,502,512,518,529,531,546,574,577,578,580,582,589,590,592,594,628,630,632,634,635,636,638,640,642,644,663,664,665,710,719,873,161,948,559,562,565,566,660,795,801,814,816,389,410,445,448,476,507,508,997,120,583,584,586,588,169,620,678,684,121,125])). % 2.19/2.14 cnf(1469,plain, % 2.19/2.14 (E(x14691,f26(f30(x14691,f4(f42(x14692,a1)),x14692),x14692))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1471,plain, % 2.19/2.14 (E(x14711,f26(f30(x14711,f4(f42(x14712,a1)),x14712),x14712))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1474,plain, % 2.19/2.14 (~E(x14741,f3(x14741))), % 2.19/2.14 inference(rename_variables,[],[1268])). % 2.19/2.14 cnf(1477,plain, % 2.19/2.14 (~E(x14771,f3(x14771))), % 2.19/2.14 inference(rename_variables,[],[1268])). % 2.19/2.14 cnf(1480,plain, % 2.19/2.14 (~E(x14801,f3(x14801))), % 2.19/2.14 inference(rename_variables,[],[1268])). % 2.19/2.14 cnf(1483,plain, % 2.19/2.14 (~E(x14831,f3(x14831))), % 2.19/2.14 inference(rename_variables,[],[1268])). % 2.19/2.14 cnf(1493,plain, % 2.19/2.14 (~E(f3(f3(x14931)),x14931)), % 2.19/2.14 inference(rename_variables,[],[1270])). % 2.19/2.14 cnf(1498,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x14981,a1)),x14982),x14983),x14982,f42(x14981,a1)),x14983,f42(x14981,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1504,plain, % 2.19/2.14 (P8(x15041,f30(x15042,f39(f39(f25(f42(x15043,a1)),x15044),x15041),x15043),f42(x15043,a1))), % 2.19/2.14 inference(rename_variables,[],[1181])). % 2.19/2.14 cnf(1507,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x15071,a1)),x15072),x15073),x15072,f42(x15071,a1)),x15073,f42(x15071,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1510,plain, % 2.19/2.14 (P9(x15101,f3(f39(f39(f29(a41),x15102),f3(x15101))),a41)), % 2.19/2.14 inference(rename_variables,[],[1400])). % 2.19/2.14 cnf(1516,plain, % 2.19/2.14 (P8(f39(x15161,a46),f30(x15162,f12(a43,x15161,a2,f42(x15163,a1)),x15163),f42(x15163,a1))), % 2.19/2.14 inference(rename_variables,[],[1254])). % 2.19/2.14 cnf(1525,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x15251,a1)),x15252),x15253),x15252,f42(x15251,a1)),x15253,f42(x15251,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1540,plain, % 2.19/2.14 (~P46(f37(x15401,f35(x15402,f36(x15403,f4(f42(x15404,a1)),x15405,x15404),x15405,x15406),x15406))), % 2.19/2.14 inference(rename_variables,[],[1216])). % 2.19/2.14 cnf(1543,plain, % 2.19/2.14 (~E(f3(f3(x15431)),x15431)), % 2.19/2.14 inference(rename_variables,[],[1270])). % 2.19/2.14 cnf(1548,plain, % 2.19/2.14 (E(f5(x15481,f4(f42(x15482,a1)),f42(x15482,a1)),x15481)), % 2.19/2.14 inference(rename_variables,[],[221])). % 2.19/2.14 cnf(1553,plain, % 2.19/2.14 (P9(x15531,f3(f39(f39(f29(a41),x15532),f3(x15531))),a41)), % 2.19/2.14 inference(rename_variables,[],[1400])). % 2.19/2.14 cnf(1556,plain, % 2.19/2.14 (P46(f39(f17(x15561,x15562,f4(f42(x15563,a1)),x15563,x15564),x15562))), % 2.19/2.14 inference(rename_variables,[],[324])). % 2.19/2.14 cnf(1562,plain, % 2.19/2.14 (~P46(f37(x15621,f35(x15622,f35(x15623,f4(f42(x15624,a1)),x15624,x15625),x15625,x15626),x15626))), % 2.19/2.14 inference(rename_variables,[],[1218])). % 2.19/2.14 cnf(1567,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x15671,a1)),x15672),x15673),x15672,f42(x15671,a1)),x15673,f42(x15671,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1574,plain, % 2.19/2.14 (P8(f39(x15741,a46),f30(x15742,f12(a43,x15741,a2,f42(x15743,a1)),x15743),f42(x15743,a1))), % 2.19/2.14 inference(rename_variables,[],[1254])). % 2.19/2.14 cnf(1577,plain, % 2.19/2.14 (~P46(f37(x15771,f35(x15772,f36(x15773,f4(f42(x15774,a1)),x15775,x15774),x15775,x15776),x15776))), % 2.19/2.14 inference(rename_variables,[],[1216])). % 2.19/2.14 cnf(1580,plain, % 2.19/2.14 (~P46(f37(x15801,f35(x15802,f36(x15803,f4(f42(x15804,a1)),x15805,x15804),x15805,x15806),x15806))), % 2.19/2.14 inference(rename_variables,[],[1216])). % 2.19/2.14 cnf(1589,plain, % 2.19/2.14 (E(x15891,f26(f30(x15891,f4(f42(x15892,a1)),x15892),x15892))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1591,plain, % 2.19/2.14 (E(x15911,f26(f30(x15911,f4(f42(x15912,a1)),x15912),x15912))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1593,plain, % 2.19/2.14 (E(x15931,f26(f30(x15931,f4(f42(x15932,a1)),x15932),x15932))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1595,plain, % 2.19/2.14 (E(x15951,f26(f30(x15951,f4(f42(x15952,a1)),x15952),x15952))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1597,plain, % 2.19/2.14 (E(x15971,f26(f30(x15971,f4(f42(x15972,a1)),x15972),x15972))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1599,plain, % 2.19/2.14 (E(x15991,f26(f30(x15991,f4(f42(x15992,a1)),x15992),x15992))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1601,plain, % 2.19/2.14 (E(x16011,f26(f30(x16011,f4(f42(x16012,a1)),x16012),x16012))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1603,plain, % 2.19/2.14 (E(x16031,f26(f30(x16031,f4(f42(x16032,a1)),x16032),x16032))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1608,plain, % 2.19/2.14 (~P9(f3(x16081),f39(f39(f29(a41),f3(x16081)),x16081),a41)), % 2.19/2.14 inference(rename_variables,[],[1455])). % 2.19/2.14 cnf(1613,plain, % 2.19/2.14 (P9(f4(f42(x16131,a1)),f30(x16132,f30(x16133,f4(f42(x16131,a1)),x16131),x16131),f42(x16131,a1))), % 2.19/2.14 inference(rename_variables,[],[1415])). % 2.19/2.14 cnf(1614,plain, % 2.19/2.14 (~P9(x16141,f5(x16141,x16142,f42(x16143,a1)),f42(x16143,a1))), % 2.19/2.14 inference(rename_variables,[],[1375])). % 2.19/2.14 cnf(1617,plain, % 2.19/2.14 (P6(x16171,a1)), % 2.19/2.14 inference(rename_variables,[],[1120])). % 2.19/2.14 cnf(1620,plain, % 2.19/2.14 (P6(x16201,a1)), % 2.19/2.14 inference(rename_variables,[],[1120])). % 2.19/2.14 cnf(1623,plain, % 2.19/2.14 (~P9(f3(x16231),f39(f39(f29(a41),f3(x16231)),x16231),a41)), % 2.19/2.14 inference(rename_variables,[],[1455])). % 2.19/2.14 cnf(1627,plain, % 2.19/2.14 (P9(x16271,f3(f39(f39(f29(a41),x16271),x16272)),a41)), % 2.19/2.14 inference(rename_variables,[],[1357])). % 2.19/2.14 cnf(1636,plain, % 2.19/2.14 (~P46(f37(a46,f5(x16361,a43,f42(a2,a1)),a2))), % 2.19/2.14 inference(rename_variables,[],[1241])). % 2.19/2.14 cnf(1637,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x16371,a1)),x16372),x16373),x16372,f42(x16371,a1)),x16373,f42(x16371,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1642,plain, % 2.19/2.14 (P46(f37(x16421,f36(x16422,f30(f39(x16422,x16421),f4(f42(x16423,a1)),x16423),x16424,x16423),x16424))), % 2.19/2.14 inference(rename_variables,[],[312])). % 2.19/2.14 cnf(1643,plain, % 2.19/2.14 (P8(x16431,f30(x16432,f39(f39(f25(f42(x16433,a1)),x16434),x16431),x16433),f42(x16433,a1))), % 2.19/2.14 inference(rename_variables,[],[1181])). % 2.19/2.14 cnf(1646,plain, % 2.19/2.14 (P8(f13(f30(x16461,x16462,a1),a1),x16461,a1)), % 2.19/2.14 inference(rename_variables,[],[1226])). % 2.19/2.14 cnf(1649,plain, % 2.19/2.14 (P8(f13(f30(x16491,x16492,a1),a1),x16491,a1)), % 2.19/2.14 inference(rename_variables,[],[1226])). % 2.19/2.14 cnf(1655,plain, % 2.19/2.14 (~P8(f3(f3(x16551)),x16551,a41)), % 2.19/2.14 inference(rename_variables,[],[1136])). % 2.19/2.14 cnf(1658,plain, % 2.19/2.14 (~P9(f3(x16581),x16581,a41)), % 2.19/2.14 inference(rename_variables,[],[1132])). % 2.19/2.14 cnf(1663,plain, % 2.19/2.14 (P8(x16631,f30(x16632,f39(f39(f25(f42(x16633,a1)),x16634),x16631),x16633),f42(x16633,a1))), % 2.19/2.14 inference(rename_variables,[],[1181])). % 2.19/2.14 cnf(1668,plain, % 2.19/2.14 (P46(f37(x16681,f36(x16682,f30(f39(x16682,x16681),f4(f42(x16683,a1)),x16683),x16684,x16683),x16684))), % 2.19/2.14 inference(rename_variables,[],[312])). % 2.19/2.14 cnf(1671,plain, % 2.19/2.14 (P8(x16711,f3(x16711),a41)), % 2.19/2.14 inference(rename_variables,[],[1130])). % 2.19/2.14 cnf(1674,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x16741,a1)),x16742),x16743),x16742,f42(x16741,a1)),x16743,f42(x16741,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1678,plain, % 2.19/2.14 (~P9(x16781,x16781,f26(f30(a1,f4(f42(x16782,a1)),x16782),x16782))), % 2.19/2.14 inference(rename_variables,[],[1425])). % 2.19/2.14 cnf(1681,plain, % 2.19/2.14 (P9(x16811,f3(f3(x16811)),a41)), % 2.19/2.14 inference(rename_variables,[],[1140])). % 2.19/2.14 cnf(1687,plain, % 2.19/2.14 (~P8(f3(f3(x16871)),x16871,a41)), % 2.19/2.14 inference(rename_variables,[],[1136])). % 2.19/2.14 cnf(1690,plain, % 2.19/2.14 (~P9(x16901,f39(f39(f21(a41),x16902),x16901),a41)), % 2.19/2.14 inference(rename_variables,[],[1330])). % 2.19/2.14 cnf(1693,plain, % 2.19/2.14 (P8(x16931,f14(f30(x16931,x16932,a1),a1),a1)), % 2.19/2.14 inference(rename_variables,[],[1223])). % 2.19/2.14 cnf(1696,plain, % 2.19/2.14 (P8(f39(f39(f28(a41),x16961),x16962),x16962,a41)), % 2.19/2.14 inference(rename_variables,[],[1342])). % 2.19/2.14 cnf(1703,plain, % 2.19/2.14 (P8(x17031,f3(x17031),a41)), % 2.19/2.14 inference(rename_variables,[],[1130])). % 2.19/2.14 cnf(1706,plain, % 2.19/2.14 (P46(f37(x17061,f36(x17062,f30(f39(x17062,x17061),f4(f42(x17063,a1)),x17063),x17064,x17063),x17064))), % 2.19/2.14 inference(rename_variables,[],[312])). % 2.19/2.14 cnf(1709,plain, % 2.19/2.14 (E(x17091,f26(f30(x17091,f4(f42(x17092,a1)),x17092),x17092))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1711,plain, % 2.19/2.14 (E(x17111,f26(f30(x17111,f4(f42(x17112,a1)),x17112),x17112))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1713,plain, % 2.19/2.14 (~P9(x17131,x17131,f26(f30(a1,f4(f42(x17132,a1)),x17132),x17132))), % 2.19/2.14 inference(rename_variables,[],[1425])). % 2.19/2.14 cnf(1716,plain, % 2.19/2.14 (E(f5(x17161,f4(f42(x17162,a1)),f42(x17162,a1)),x17161)), % 2.19/2.14 inference(rename_variables,[],[221])). % 2.19/2.14 cnf(1718,plain, % 2.19/2.14 (E(x17181,f26(f30(x17181,f4(f42(x17182,a1)),x17182),x17182))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1720,plain, % 2.19/2.14 (E(f5(x17201,f4(f42(x17202,a1)),f42(x17202,a1)),x17201)), % 2.19/2.14 inference(rename_variables,[],[221])). % 2.19/2.14 cnf(1724,plain, % 2.19/2.14 (P9(x17241,f3(f3(x17241)),a41)), % 2.19/2.14 inference(rename_variables,[],[1140])). % 2.19/2.14 cnf(1727,plain, % 2.19/2.14 (E(x17271,f26(f30(x17271,f4(f42(x17272,a1)),x17272),x17272))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1729,plain, % 2.19/2.14 (~P8(f3(f3(x17291)),x17291,a41)), % 2.19/2.14 inference(rename_variables,[],[1136])). % 2.19/2.14 cnf(1732,plain, % 2.19/2.14 (P1(f26(f30(a1,f4(f42(x17321,a1)),x17321),x17321))), % 2.19/2.14 inference(rename_variables,[],[1262])). % 2.19/2.14 cnf(1735,plain, % 2.19/2.14 (E(x17351,f26(f30(x17351,f4(f42(x17352,a1)),x17352),x17352))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1737,plain, % 2.19/2.14 (~P9(x17371,x17371,f26(f30(a1,f4(f42(x17372,a1)),x17372),x17372))), % 2.19/2.14 inference(rename_variables,[],[1425])). % 2.19/2.14 cnf(1740,plain, % 2.19/2.14 (~P9(f30(x17401,x17402,x17403),x17402,f42(x17403,a1))), % 2.19/2.14 inference(rename_variables,[],[1372])). % 2.19/2.14 cnf(1743,plain, % 2.19/2.14 (E(x17431,f26(f30(x17431,f4(f42(x17432,a1)),x17432),x17432))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1751,plain, % 2.19/2.14 (~E(f3(f3(x17511)),x17511)), % 2.19/2.14 inference(rename_variables,[],[1270])). % 2.19/2.14 cnf(1754,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x17541,a1)),x17542),x17543),x17542,f42(x17541,a1)),x17543,f42(x17541,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1759,plain, % 2.19/2.14 (~P9(x17591,f5(x17591,x17592,f42(x17593,a1)),f42(x17593,a1))), % 2.19/2.14 inference(rename_variables,[],[1375])). % 2.19/2.14 cnf(1762,plain, % 2.19/2.14 (P8(f5(f39(f39(f25(f42(x17621,a1)),x17622),x17623),x17622,f42(x17621,a1)),x17623,f42(x17621,a1))), % 2.19/2.14 inference(rename_variables,[],[1189])). % 2.19/2.14 cnf(1766,plain, % 2.19/2.14 (~P9(f30(x17661,x17662,x17663),x17662,f42(x17663,a1))), % 2.19/2.14 inference(rename_variables,[],[1372])). % 2.19/2.14 cnf(1769,plain, % 2.19/2.14 (E(f5(x17691,f4(f42(x17692,a1)),f42(x17692,a1)),x17691)), % 2.19/2.14 inference(rename_variables,[],[221])). % 2.19/2.14 cnf(1771,plain, % 2.19/2.14 (P8(f39(x17711,a46),f30(x17712,f12(a43,x17711,a2,f42(x17713,a1)),x17713),f42(x17713,a1))), % 2.19/2.14 inference(rename_variables,[],[1254])). % 2.19/2.14 cnf(1772,plain, % 2.19/2.14 (~P9(f30(x17721,x17722,x17723),x17722,f42(x17723,a1))), % 2.19/2.14 inference(rename_variables,[],[1372])). % 2.19/2.14 cnf(1775,plain, % 2.19/2.14 (E(x17751,f26(f30(x17751,f4(f42(x17752,a1)),x17752),x17752))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1780,plain, % 2.19/2.14 (P8(f39(f39(f28(a41),x17801),x17802),x17802,a41)), % 2.19/2.14 inference(rename_variables,[],[1342])). % 2.19/2.14 cnf(1794,plain, % 2.19/2.14 (E(x17941,f26(f30(x17941,f4(f42(x17942,a1)),x17942),x17942))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1801,plain, % 2.19/2.14 (E(x18011,f26(f30(x18011,f4(f42(x18012,a1)),x18012),x18012))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1813,plain, % 2.19/2.14 (E(x18131,f26(f30(x18131,f4(f42(x18132,a1)),x18132),x18132))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1815,plain, % 2.19/2.14 (E(x18151,f26(f30(x18151,f4(f42(x18152,a1)),x18152),x18152))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1819,plain, % 2.19/2.14 (E(x18191,f26(f30(x18191,f4(f42(x18192,a1)),x18192),x18192))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1821,plain, % 2.19/2.14 (E(x18211,f26(f30(x18211,f4(f42(x18212,a1)),x18212),x18212))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1823,plain, % 2.19/2.14 (E(x18231,f26(f30(x18231,f4(f42(x18232,a1)),x18232),x18232))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1825,plain, % 2.19/2.14 (E(x18251,f26(f30(x18251,f4(f42(x18252,a1)),x18252),x18252))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1827,plain, % 2.19/2.14 (E(x18271,f26(f30(x18271,f4(f42(x18272,a1)),x18272),x18272))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1829,plain, % 2.19/2.14 (E(x18291,f26(f30(x18291,f4(f42(x18292,a1)),x18292),x18292))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1833,plain, % 2.19/2.14 (E(x18331,f26(f30(x18331,f4(f42(x18332,a1)),x18332),x18332))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1835,plain, % 2.19/2.14 (E(x18351,f26(f30(x18351,f4(f42(x18352,a1)),x18352),x18352))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1837,plain, % 2.19/2.14 (E(x18371,f26(f30(x18371,f4(f42(x18372,a1)),x18372),x18372))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1839,plain, % 2.19/2.14 (E(x18391,f26(f30(x18391,f4(f42(x18392,a1)),x18392),x18392))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1841,plain, % 2.19/2.14 (E(x18411,f26(f30(x18411,f4(f42(x18412,a1)),x18412),x18412))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1844,plain, % 2.19/2.14 (~P9(x18441,f5(x18441,x18442,f42(x18443,a1)),f42(x18443,a1))), % 2.19/2.14 inference(rename_variables,[],[1375])). % 2.19/2.14 cnf(1846,plain, % 2.19/2.14 (E(x18461,f26(f30(x18461,f4(f42(x18462,a1)),x18462),x18462))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1848,plain, % 2.19/2.14 (E(x18481,f26(f30(x18481,f4(f42(x18482,a1)),x18482),x18482))), % 2.19/2.14 inference(rename_variables,[],[1187])). % 2.19/2.14 cnf(1855,plain, % 2.19/2.14 (P8(x18551,f3(x18551),a41)), % 2.19/2.14 inference(rename_variables,[],[1130])). % 2.19/2.14 cnf(1861,plain, % 2.19/2.14 (P8(x18611,f3(x18611),a41)), % 2.19/2.14 inference(rename_variables,[],[1130])). % 2.19/2.14 cnf(1865,plain, % 2.19/2.14 (~P8(f39(f39(f29(a41),x18651),f3(x18652)),x18652,a41)), % 2.19/2.14 inference(rename_variables,[],[1437])). % 2.19/2.14 cnf(1868,plain, % 2.19/2.14 (P46(f37(x18681,f30(x18681,x18682,x18683),x18684))), % 2.19/2.14 inference(rename_variables,[],[1147])). % 2.19/2.14 cnf(1869,plain, % 2.19/2.14 (~P46(f37(f30(f39(a47,a46),f4(f42(a40,a1)),a40),f39(a45,f35(a47,a43,a2,a40)),x18691))), % 2.19/2.14 inference(rename_variables,[],[1113])). % 2.19/2.14 cnf(1873,plain, % 2.19/2.14 (P8(x18731,x18731,f42(x18732,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1874,plain, % 2.19/2.14 (P2(f26(f30(a1,f4(f42(x18741,a1)),x18741),x18741))), % 2.19/2.14 inference(rename_variables,[],[1263])). % 2.19/2.14 cnf(1879,plain, % 2.19/2.14 (P9(x18791,f3(f3(x18791)),a41)), % 2.19/2.14 inference(rename_variables,[],[1140])). % 2.19/2.14 cnf(1887,plain, % 2.19/2.14 (P8(x18871,x18871,f42(x18872,a1))), % 2.19/2.14 inference(rename_variables,[],[215])). % 2.19/2.14 cnf(1913,plain, % 2.19/2.14 (P6(x19131,a1)), % 2.19/2.14 inference(rename_variables,[],[1120])). % 2.19/2.14 cnf(1915,plain, % 2.19/2.14 ($false), % 2.19/2.14 inference(scs_inference,[],[207,216,341,241,1268,1474,1477,1480,1483,1270,1493,1543,1751,1235,1262,1732,1263,1874,1266,1267,1271,1276,1283,1287,1288,1289,1290,1291,1113,1869,1292,1254,1516,1574,1771,1275,1393,1241,1636,1223,1693,1226,1646,1649,1257,1452,1272,179,312,1642,1668,1706,174,303,221,1548,1716,1720,1769,333,324,1556,176,1195,1147,1868,1216,1540,1577,1580,1218,1562,1211,1187,1469,1471,1589,1591,1593,1595,1597,1599,1601,1603,1709,1711,1718,1727,1735,1743,1775,1794,1801,1813,1815,1819,1821,1823,1825,1827,1829,1833,1835,1837,1839,1841,1846,1848,1198,1425,1678,1713,1737,1391,1450,1189,1498,1507,1525,1567,1637,1674,1754,1762,1181,1504,1643,1663,1375,1614,1759,1844,1157,1415,1613,1410,1166,1372,1740,1766,1772,1306,1130,1671,1703,1855,1861,1132,1658,1134,1136,1655,1687,1729,1140,1681,1724,1879,1145,1138,1400,1510,1553,1357,1627,1458,1429,1435,1437,1865,1455,1608,1623,1318,1327,1330,1690,1342,1696,1780,1345,1348,1363,1433,1397,1442,1444,1120,1617,1620,1913,178,186,188,189,190,191,195,196,197,198,209,215,1873,1887,335,180,182,199,200,336,187,302,175,181,1462,387,1067,1068,1069,1070,396,718,431,751,479,985,428,703,844,476,449,845,997,429,843,555,886,448,712,508,1026,556,624,386,535,446,933,987,1049,424,882,344,507,846,1047,996,410,1050,2,140,141,146,147,148,149,150,151,547,554,570,662,899,945,398,463,1032,459,761,713,932,634,632,949,583,580,717,965,872,606,640,574,589,635,582,588,594,642,628,719,638,605,122,127,578,118,131,157,458,636,155,584,512,129,590,802,107,502,529,710,904,3,663,873,762,161,664,121,577,630,481,763,169,665,644,145,546,950,117,531,586,592,137,134,133,139,125,154,128,135,126,123,119,136,152,132,142,124,120,138,130,560,561,563,564,700,973,816,678,562,684,566,814,559,620,795,565,948,798,796]), % 2.19/2.14 ['proof']). % 2.19/2.14 % SZS output end Proof % 2.19/2.14 % Total time :1.150000s %------------------------------------------------------------------------------