%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:54 AM UTC 2026 % Result : Unsatisfiable 0.96s 1.05s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL813-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.08/0.35 % Computer : n013.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sun Sep 6 01:36:35 UTC 2026 % 0.08/0.35 % CPUTime : % 0.24/0.53 start to proof:theBenchmark % 0.75/0.98 %------------------------------------------- % 0.75/0.98 % File :CSE---1.7 % 0.75/0.98 % Problem :theBenchmark % 0.75/0.98 % Transform :cnf % 0.75/0.98 % Format :tptp:raw % 0.75/0.98 % Command :java -jar mcs_scs.jar %d %s % 0.75/0.98 % 0.75/0.98 % Result :Theorem 0.167863s % 0.75/0.98 % Output :CNFRefutation 0.167863s % 0.75/0.98 %------------------------------------------- % 0.75/0.99 %------------------------------------------------------------------------------ % 0.75/0.99 % File : LCL813-1 : TPTP v9.3.1. Released v4.1.0. % 0.75/0.99 % Domain : Logic Calculi % 0.75/0.99 % Problem : Strong normalization of typed lambda calculus 176_15 % 0.75/0.99 % Version : Especial. % 0.75/0.99 % English : % 0.75/0.99 % 0.75/0.99 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.75/0.99 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.75/0.99 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.75/0.99 % Source : [Nip10] % 0.75/0.99 % Names : StrongNorm-176_15 [Nip10] % 0.75/0.99 % 0.75/0.99 % Status : Unsatisfiable % 0.75/0.99 % Rating : 0.25 v9.3.0, 0.09 v9.1.0, 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.24 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.40 v6.3.0, 0.27 v6.2.0, 0.50 v5.5.0, 0.60 v5.3.0, 0.61 v5.2.0, 0.50 v5.1.0, 0.59 v5.0.0, 0.64 v4.1.0 % 0.75/0.99 % Syntax : Number of clauses : 936 ( 218 unt; 95 nHn; 530 RR) % 0.75/0.99 % Number of literals : 2217 ( 590 equ;1225 neg) % 0.75/0.99 % Maximal clause size : 6 ( 2 avg) % 0.75/0.99 % Maximal term depth : 7 ( 1 avg) % 0.75/0.99 % Number of predicates : 59 ( 58 usr; 0 prp; 1-6 aty) % 0.75/0.99 % Number of functors : 69 ( 69 usr; 18 con; 0-5 aty) % 0.75/0.99 % Number of variables : 2952 ( 485 sgn) % 0.75/0.99 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.75/0.99 % 0.75/0.99 % Comments : % 0.75/0.99 %------------------------------------------------------------------------------ % 0.75/0.99 cnf(cls_nat__less__add__iff2_1,axiom, % 0.75/0.99 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat) % 0.75/0.99 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_nat__less__add__iff2_0,axiom, % 0.75/0.99 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/0.99 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_nat__less__add__iff1_1,axiom, % 0.75/0.99 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat) % 0.75/0.99 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_nat__less__add__iff1_0,axiom, % 0.75/0.99 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/0.99 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_eq__add__iff2_1,axiom, % 0.75/0.99 ( ~ class_Ring__and__Field_Oring(T_a) % 0.75/0.99 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_add__Suc_0,axiom, % 0.75/0.99 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_add__Suc__right_0,axiom, % 0.75/0.99 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_power__0__Suc_0,axiom, % 0.75/0.99 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.75/0.99 | ~ class_Power_Opower(T_a) % 0.75/0.99 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_mult__strict__mono_0,axiom, % 0.75/0.99 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/0.99 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.75/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_nat_Oinduct_1,axiom, % 0.75/0.99 ( hBOOL(hAPP(V_P,V_nat)) % 0.75/0.99 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinduct__1(V_P)))) % 0.75/0.99 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_min__max_Oinf__le1_0,axiom, % 0.75/0.99 ( ~ class_Orderings_Olinorder(T_a) % 0.75/0.99 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_min__max_Oinf__le2_0,axiom, % 0.75/0.99 ( ~ class_Orderings_Olinorder(T_a) % 0.75/0.99 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_min__max_Ole__infI_0,axiom, % 0.75/0.99 ( ~ class_Orderings_Olinorder(T_a) % 0.75/0.99 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 0.75/0.99 | ~ c_lessequals(V_x,V_b,T_a) % 0.75/0.99 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 0.75/0.99 ( ~ class_Orderings_Olinorder(T_a) % 0.75/0.99 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.75/0.99 | ~ c_lessequals(V_x,V_z,T_a) % 0.75/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_min__max_Oinf__greatest_0,axiom, % 0.75/0.99 ( ~ class_Orderings_Olinorder(T_a) % 0.75/0.99 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 0.75/0.99 | ~ c_lessequals(V_x,V_z,T_a) % 0.75/0.99 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_eq__add__iff1_1,axiom, % 0.75/0.99 ( ~ class_Ring__and__Field_Oring(T_a) % 0.75/0.99 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c)) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_zero__le__power_0,axiom, % 0.75/0.99 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.75/0.99 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.75/0.99 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_diff__is__0__eq_1,axiom, % 0.75/0.99 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) % 0.75/0.99 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_diff__is__0__eq_0,axiom, % 0.75/0.99 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.75/0.99 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_min__diff__distrib__left_0,axiom, % 0.75/0.99 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.75/0.99 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_max__less__iff__conj_2,axiom, % 0.75/0.99 ( ~ class_Orderings_Olinorder(T_a) % 0.75/0.99 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.75/0.99 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.75/0.99 % 0.75/0.99 cnf(cls_same__append__eq_0,axiom, % 0.75/1.00 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) % 0.75/1.00 | V_ys = V_zs ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_append__same__eq_0,axiom, % 0.75/1.00 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) % 0.75/1.00 | V_ys = V_zs ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_diff__Suc__diff__eq2_0,axiom, % 0.75/1.00 ( c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_m,tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(V_j),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),tc_nat) % 0.75/1.00 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_replicate__eq__replicate_0,axiom, % 0.75/1.00 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.75/1.00 | V_m = V_n ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_add__strict__increasing_0,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.75/1.00 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.75/1.00 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.75/1.00 | ~ c_lessequals(V_b,V_c,T_a) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_lem0_0,axiom, % 0.75/1.00 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) % 0.75/1.00 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_add__is__1_4,axiom, % 0.75/1.00 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_of__nat__le__iff_0,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.75/1.00 | c_lessequals(V_m,V_n,tc_nat) % 0.75/1.00 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_of__nat__le__iff_1,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.75/1.00 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.75/1.00 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_subst__preserves__beta_0,axiom, % 0.75/1.00 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i)) % 0.75/1.00 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_dB_Osimps_I12_J_0,axiom, % 0.75/1.00 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_min__less__iff__conj_2,axiom, % 0.75/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.00 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_natgb_Oadd__mul__solve_1,axiom, % 0.75/1.00 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_natgb_Onoteq__reduce_1,axiom, % 0.75/1.00 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_x,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_c,tc_nat)) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__ringb_Onoteq__reduce_1,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.75/1.00 | ~ class_Int_Onumber__ring(T_a) % 0.75/1.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a)) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__ringb_Oadd__mul__solve_1,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.75/1.00 | ~ class_Int_Onumber__ring(T_a) % 0.75/1.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_max__Suc__Suc_0,axiom, % 0.75/1.00 c_Orderings_Oord__class_Omax(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omax(V_m,V_n,tc_nat)) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_less__Suc0_0,axiom, % 0.75/1.00 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.75/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.75/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.75/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.75/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 0.75/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.00 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_subst__Var_2,axiom, % 0.75/1.00 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.75/1.00 | V_i = V_k % 0.75/1.00 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat__diff__add__eq2_0,axiom, % 0.75/1.00 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat) % 0.75/1.00 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat__diff__add__eq1_0,axiom, % 0.75/1.00 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat) % 0.75/1.00 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_diff__add__cancel_0,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.75/1.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat__diff__split__asm_1,axiom, % 0.75/1.00 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_x),V_b,tc_nat))) % 0.75/1.00 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat__diff__split_1,axiom, % 0.75/1.00 ( ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_b),V_d),V_b,tc_nat))) % 0.75/1.00 | hBOOL(hAPP(V_P,V_d)) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_mult__le__cancel2_1,axiom, % 0.75/1.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.75/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_mult__le__cancel1_1,axiom, % 0.75/1.00 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.75/1.00 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__semiring_Opwr__pwr_0,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.00 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_x,V_p,T_a),V_q,T_a) = c_Power_Opower__class_Opower(V_x,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat),T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat_Oinducts_1,axiom, % 0.75/1.00 ( hBOOL(hAPP(V_P,V_nat)) % 0.75/1.00 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinducts__1(V_P)))) % 0.75/1.00 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_power__Suc2_0,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.75/1.00 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_power__Suc_0,axiom, % 0.75/1.00 ( ~ class_Power_Opower(T_a) % 0.75/1.00 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__semiring_Opwr__Suc_0,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.00 | c_Power_Opower__class_Opower(V_x,c_Suc(V_n),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_n,T_a),T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__semiring_Osemiring__rules_I35_J_0,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.00 | c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) = c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_add__le__mono_0,axiom, % 0.75/1.00 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat) % 0.75/1.00 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.75/1.00 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_add__mono_0,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.75/1.00 | 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) % 0.75/1.00 | ~ c_lessequals(V_c,V_d,T_a) % 0.75/1.00 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_less__Suc__eq__le_1,axiom, % 0.75/1.00 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.75/1.00 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_less__Suc__eq__le_0,axiom, % 0.75/1.00 ( c_lessequals(V_m,V_n,tc_nat) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_le__less__Suc__eq_1,axiom, % 0.75/1.00 ( ~ c_lessequals(V_x,V_x,tc_nat) % 0.75/1.00 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_listsum_0,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.75/1.00 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__semiring_Omul__c_0,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.00 | c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) = c_HOL_Otimes__class_Otimes(V_y,V_x,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat__mult__commute_0,axiom, % 0.75/1.00 c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) = c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.00 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__semiring_Osemiring__rules_I7_J_0,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.00 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) = c_HOL_Otimes__class_Otimes(V_b,V_a,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_diff__less__Suc_0,axiom, % 0.75/1.00 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_dB_Osimps_I11_J_0,axiom, % 0.75/1.00 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.00 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.75/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.00 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_order__less__trans_0,axiom, % 0.75/1.00 ( ~ class_Orderings_Opreorder(T_a) % 0.75/1.00 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_xt1_I10_J_0,axiom, % 0.75/1.00 ( ~ class_Orderings_Oorder(T_a) % 0.75/1.00 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.75/1.00 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_typing__elims_I2_J_1,axiom, % 0.75/1.00 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)) % 0.75/1.00 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.75/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.00 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.75/1.00 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.75/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.00 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.75/1.00 | c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.75/1.00 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.00 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.75/1.00 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.75/1.00 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.00 | 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) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_add__cancel__21_1,axiom, % 0.75/1.00 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.75/1.00 | 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)) ) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat__add__left__commute_0,axiom, % 0.75/1.00 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ). % 0.75/1.00 % 0.75/1.00 cnf(cls_nat__add__assoc_0,axiom, % 0.75/1.01 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.75/1.01 | 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)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.75/1.01 | 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)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.75/1.01 | 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)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.01 | 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) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.01 | 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) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.01 | 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)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.01 | 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)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_add__gr__0_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.75/1.01 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_power__add_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.75/1.01 | c_Power_Opower__class_Opower(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_one__le__mult__iff_1,axiom, % 0.75/1.01 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) % 0.75/1.01 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_one__le__mult__iff_0,axiom, % 0.75/1.01 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.75/1.01 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_drop__Cons_H_0,axiom, % 0.75/1.01 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_replicate__Suc_0,axiom, % 0.75/1.01 c_List_Oreplicate(c_Suc(V_n),V_x,T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_add__cancel__21_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.75/1.01 | 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) % 0.75/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_trans__le__add2_0,axiom, % 0.75/1.01 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.75/1.01 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_trans__le__add1_0,axiom, % 0.75/1.01 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.75/1.01 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_eq__add__iff2_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Oring(T_a) % 0.75/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d) % 0.75/1.01 | V_c = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_eq__add__iff1_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Oring(T_a) % 0.75/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d) % 0.75/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c) = V_d ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_infinite__descent0_2,axiom, % 0.75/1.01 ( hBOOL(hAPP(V_P,V_n)) % 0.75/1.01 | hBOOL(hAPP(V_P,V_x)) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_x,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat) % 0.75/1.01 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_less__add__Suc1_0,axiom, % 0.75/1.01 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_less__add__Suc2_0,axiom, % 0.75/1.01 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_less__iff__Suc__add_1,axiom, % 0.75/1.01 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__diff__conv2_0,axiom, % 0.75/1.01 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.75/1.01 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.75/1.01 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__diff__conv2_1,axiom, % 0.75/1.01 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.75/1.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.75/1.01 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.75/1.01 | ~ c_lessequals(V_y,V_z,T_a) % 0.75/1.01 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Osup__least_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.75/1.01 | ~ c_lessequals(V_z,V_x,T_a) % 0.75/1.01 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__supI_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.75/1.01 | ~ c_lessequals(V_b,V_x,T_a) % 0.75/1.01 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__maxI1_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__maxI2_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_append__Nil2_0,axiom, % 0.75/1.01 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 0.75/1.01 % 0.75/1.01 cnf(cls_eq__Nil__appendI_0,axiom, % 0.75/1.01 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_self__append__conv_1,axiom, % 0.75/1.01 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_append__Nil_0,axiom, % 0.75/1.01 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 0.75/1.01 % 0.75/1.01 cnf(cls_self__append__conv2_1,axiom, % 0.75/1.01 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_bot__least_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Obot(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_gb__semiring_Opwr__pwr_0,axiom, % 0.75/1.01 ( hAPP(hAPP(V_pwr,hAPP(hAPP(V_pwr,V_x),V_p)),V_q) = hAPP(hAPP(V_pwr,V_x),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_nat)) % 0.75/1.01 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Oinf__sup__distrib2_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_x,T_a),c_Orderings_Oord__class_Omin(V_z,V_x,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Oinf__sup__distrib1_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_add__increasing_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.75/1.01 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.75/1.01 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.75/1.01 | ~ c_lessequals(V_b,V_c,T_a) % 0.75/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_add__increasing2_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.75/1.01 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.75/1.01 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.75/1.01 | ~ c_lessequals(V_b,V_a,T_a) % 0.75/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_upt_Oinduct_1,axiom, % 0.75/1.01 ( hBOOL(hAPP(V_P,V_nat)) % 0.75/1.01 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xupt__Xinduct__1(V_P)))) % 0.75/1.01 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_type_Osimps_I1_J_0,axiom, % 0.75/1.01 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H) % 0.75/1.01 | V_nat = V_nat_H ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_replicate_Oinduct_1,axiom, % 0.75/1.01 ( hBOOL(hAPP(V_P,V_nat)) % 0.75/1.01 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xreplicate__Xinduct__1(V_P)))) % 0.75/1.01 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_Suc__leI_0,axiom, % 0.75/1.01 ( c_lessequals(c_Suc(V_m),V_n,tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_Suc__le__eq_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.75/1.01 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_less__eq__Suc__le_0,axiom, % 0.75/1.01 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_less__eq__Suc__le_1,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.75/1.01 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_add__lessD1_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_trans__less__add1_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_trans__less__add2_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__add__iff2_1,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.01 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) % 0.75/1.01 | ~ c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__add__iff2_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.01 | c_lessequals(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a) % 0.75/1.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__add__iff1_1,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.01 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) % 0.75/1.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__add__iff1_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.01 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a) % 0.75/1.01 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_Suc__diff__le_0,axiom, % 0.75/1.01 ( c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) % 0.75/1.01 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.75/1.01 c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_sum__squares__ge__zero_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.01 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.01 | 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) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.75/1.01 | 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) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_nat__add__commute_0,axiom, % 0.75/1.01 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_less__add__eq__less_0,axiom, % 0.75/1.01 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.75/1.01 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.01 | 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) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_mult__eq__1__iff_0,axiom, % 0.75/1.01 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.75/1.01 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_mult__eq__1__iff_1,axiom, % 0.75/1.01 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.75/1.01 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_foldl__assoc_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.75/1.01 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_diff__less__mono2_0,axiom, % 0.75/1.01 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_of__nat__eq__iff_0,axiom, % 0.75/1.01 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.75/1.01 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.75/1.01 | V_m = V_n ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_mult__less__imp__less__right_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/1.01 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.75/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_mult__less__imp__less__left_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/1.01 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.75/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_mult__right__less__imp__less_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.75/1.01 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.75/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_mult__left__less__imp__less_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Oordered__semiring(T_a) % 0.75/1.01 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.75/1.01 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.75/1.01 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_power__commutes_0,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.75/1.01 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),V_a,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_le__max__iff__disj_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(V_z,V_y,T_a) % 0.75/1.01 | c_lessequals(V_z,V_x,T_a) % 0.75/1.01 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_class__semiring_Omul__pwr_0,axiom, % 0.75/1.01 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.01 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_p,T_a),c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_drop__Nil_0,axiom, % 0.75/1.01 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_gb__semiring_Omul__pwr_0,axiom, % 0.75/1.01 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_p)),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_p),V_q)) % 0.75/1.01 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_nat__eq__add__iff1_1,axiom, % 0.75/1.01 ( ~ c_lessequals(V_j,V_i,tc_nat) % 0.75/1.01 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m)) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(V_x,V_z,T_a) % 0.75/1.01 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(V_x,V_y,T_a) % 0.75/1.01 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__le__iff__disj_2,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.75/1.01 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__le__iff__disj_1,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.75/1.01 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__infI2_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.75/1.01 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__infI1_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.75/1.01 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__infE_1,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(V_x,V_b,T_a) % 0.75/1.01 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_min__max_Ole__infE_0,axiom, % 0.75/1.01 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.01 | c_lessequals(V_x,V_a,T_a) % 0.75/1.01 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 0.75/1.01 % 0.75/1.01 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.75/1.01 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.75/1.02 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.75/1.02 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_Suc__inject_0,axiom, % 0.75/1.02 ( c_Suc(V_x) != c_Suc(V_y) % 0.75/1.02 | V_x = V_y ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat_Oinject_0,axiom, % 0.75/1.02 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.75/1.02 | V_nat = V_nat_H ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_foldr__conv__foldl_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.75/1.02 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__add__iff2_1,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__add__iff2_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_c,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a)),V_d),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__add__iff1_1,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__add__iff1_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a)),V_c),V_d,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_d),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_True_0,axiom, % 0.75/1.02 v_n____ = v_i____ ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__eq__add__iff1_0,axiom, % 0.75/1.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n) % 0.75/1.02 | ~ c_lessequals(V_j,V_i,tc_nat) % 0.75/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m) = V_n ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__eq__add__iff2_0,axiom, % 0.75/1.02 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n) % 0.75/1.02 | ~ c_lessequals(V_i,V_j,tc_nat) % 0.75/1.02 | V_m = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__le__iff__disj_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_lessequals(V_y,V_z,T_a) % 0.75/1.02 | c_lessequals(V_x,V_z,T_a) % 0.75/1.02 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__eq__add__iff2_1,axiom, % 0.75/1.02 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.75/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__Suc0_1,axiom, % 0.75/1.02 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_even__less__0__iff_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_even__less__0__iff_1,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_one__is__add_1,axiom, % 0.75/1.02 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.75/1.02 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.75/1.02 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_one__is__add_2,axiom, % 0.75/1.02 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.75/1.02 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.75/1.02 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_zero__less__mult__pos2_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_zero__less__mult__pos_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__pos__pos_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__neg__neg_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__0__less__mult__iff_2,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_power__less__imp__less__base_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_foldl__absorb0_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.75/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_lessequals(V_y,V_z,T_a) % 0.75/1.02 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__leE_1,axiom, % 0.75/1.02 ( c_lessequals(V_k,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__leE_0,axiom, % 0.75/1.02 ( c_lessequals(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_termination__basic__simps_I4_J_0,axiom, % 0.75/1.02 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_x,V_z,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_termination__basic__simps_I3_J_0,axiom, % 0.75/1.02 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_x,V_y,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 0.75/1.02 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 0.75/1.02 | c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 0.75/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_max__diff__distrib__left_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.75/1.02 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_list__app__typeE_1,axiom, % 0.75/1.02 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts)) % 0.75/1.02 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_not__leE_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.75/1.02 | c_lessequals(V_y,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | ~ c_lessequals(V_x,V_x,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.75/1.02 | c_lessequals(V_x,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_linorder__not__less_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.75/1.02 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_linorder__not__less_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_lessequals(V_y,V_x,T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_linorder__not__le_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | ~ c_lessequals(V_x,V_y,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_linorder__not__le_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.75/1.02 | c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__le__not__le_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Opreorder(T_a) % 0.75/1.02 | ~ c_lessequals(V_y,V_x,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_infinite__descent0_0,axiom, % 0.75/1.02 ( hBOOL(hAPP(V_P,V_n)) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat) % 0.75/1.02 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_subst__Var_1,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.75/1.02 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_type__induct_2,axiom, % 0.75/1.02 ( hBOOL(hAPP(V_P,V_T)) % 0.75/1.02 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oinf__assoc_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_one__is__add_5,axiom, % 0.75/1.02 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__strict__increasing2_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.75/1.02 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__le__mono2_0,axiom, % 0.75/1.02 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__le__mono_0,axiom, % 0.75/1.02 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_l,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_l,tc_nat),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_le__diff__iff_1,axiom, % 0.75/1.02 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_le__diff__iff_0,axiom, % 0.75/1.02 ( c_lessequals(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__add__0_0,axiom, % 0.75/1.02 c_HOL_Ominus__class_Ominus(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__diff__left_0,axiom, % 0.75/1.02 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_power__mono_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.75/1.02 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.75/1.02 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_eq__eqI_1,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.75/1.02 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.75/1.02 | V_xa = V_y ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_eq__eqI_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.75/1.02 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.75/1.02 | V_x_H = V_y_H ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_eq__diff__iff_0,axiom, % 0.75/1.02 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_m,tc_nat) % 0.75/1.02 | V_m = V_n ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oinf__sup__absorb_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = V_x ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__mult__eq__cancel1_0,axiom, % 0.75/1.02 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.75/1.02 | V_m = V_n ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_one__is__add_3,axiom, % 0.75/1.02 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.75/1.02 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.75/1.02 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_one__is__add_0,axiom, % 0.75/1.02 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.75/1.02 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.75/1.02 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__less__cancel2_0,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__less__cancel1_0,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_foldl__Cons_0,axiom, % 0.75/1.02 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__Suc__shift_0,axiom, % 0.75/1.02 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_drop__Suc__Cons_0,axiom, % 0.75/1.02 c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__cancel2_0,axiom, % 0.75/1.02 ( c_lessequals(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.75/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__cancel1_0,axiom, % 0.75/1.02 ( c_lessequals(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.75/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__mult__le__cancel1_0,axiom, % 0.75/1.02 ( c_lessequals(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__mult__le__cancel1_1,axiom, % 0.75/1.02 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__cancel__left__neg_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | c_lessequals(V_b,V_a,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__cancel__left__neg_1,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_b,V_a,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__cancel__left__pos_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | c_lessequals(V_a,V_b,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__cancel__left__pos_1,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_a,V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__left__le__imp__le_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/1.02 | c_lessequals(V_a,V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__right__le__imp__le_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.75/1.02 | c_lessequals(V_a,V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_one__less__mult_0,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__cancel2_0,axiom, % 0.75/1.02 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__cancel_0,axiom, % 0.75/1.02 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_zero__less__Suc_0,axiom, % 0.75/1.02 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_gr0__conv__Suc_1,axiom, % 0.75/1.02 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_dB_Osize_I5_J_0,axiom, % 0.75/1.02 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__max__iff__disj_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_less__max__iff__disj_2,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_max__less__iff__conj_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_max__less__iff__conj_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_listsum_Osimps_I1_J_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.75/1.02 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oinf__commute_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_left__add__mult__distrib_0,axiom, % 0.75/1.02 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_k)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_u,tc_nat)),V_k) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_combine__common__factor_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Osemiring(T_a) % 0.75/1.02 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_e,T_a)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_b,V_e,T_a)),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_e,T_a)),V_c) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__le__self_0,axiom, % 0.75/1.02 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_Abs__eq__apps__conv_0,axiom, % 0.75/1.02 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.75/1.02 | c_Lambda_OdB_OAbs(V_r) = V_s ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__0__less__mult__iff_1,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat__0__less__mult__iff_0,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__neg__neg_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_power__strict__mono_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_sum__squares__le__zero__iff_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | V_x = c_HOL_Ozero__class_Ozero(T_a) % 0.75/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_sum__squares__le__zero__iff_1,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | V_y = c_HOL_Ozero__class_Ozero(T_a) % 0.75/1.02 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_append__eq__Cons__conv_5,axiom, % 0.75/1.02 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_append__Cons_0,axiom, % 0.75/1.02 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat_Osplit__asm_1,axiom, % 0.75/1.02 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_xa),t_a))) % 0.75/1.02 | hBOOL(hAPP(V_P,hAPP(V_f2,V_xa))) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_nat_Osplit_1,axiom, % 0.75/1.02 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),t_a))) % 0.75/1.02 | hBOOL(hAPP(V_P,hAPP(V_f2,V_nat))) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__mult__distrib2_0,axiom, % 0.75/1.02 c_HOL_Otimes__class_Otimes(V_k,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__mult__distrib_0,axiom, % 0.75/1.02 c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oless__infI1_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Oless__infI2_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__less__iff__conj_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__less__iff__conj_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__less__iff__disj_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__less__iff__disj_2,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_Nat_Odiff__diff__eq_0,axiom, % 0.75/1.02 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.75/1.02 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__commute_0,axiom, % 0.75/1.02 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__nonneg__pos_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_add__pos__nonneg_0,axiom, % 0.75/1.02 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.02 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_diff__less__mono_0,axiom, % 0.75/1.02 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_c,tc_nat),c_HOL_Ominus__class_Ominus(V_b,V_c,tc_nat),tc_nat) % 0.75/1.02 | ~ c_lessequals(V_c,V_a,tc_nat) % 0.75/1.02 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__0__iff_4,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__le__0__iff_5,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_split__mult__neg__le_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_split__mult__neg__le_1,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__nonneg__nonpos_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_mult__nonpos__nonneg_0,axiom, % 0.75/1.02 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.75/1.02 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.02 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.02 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_lessequals(V_x,V_z,T_a) % 0.75/1.02 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_le__max__iff__disj_2,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_le__max__iff__disj_1,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.75/1.02 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.02 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.75/1.02 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.75/1.02 % 0.75/1.02 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.75/1.03 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_min__max_Ole__supE_1,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_lessequals(V_b,V_x,T_a) % 0.75/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_min__max_Ole__supE_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_lessequals(V_a,V_x,T_a) % 0.75/1.03 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__diff__conv_0,axiom, % 0.75/1.03 ( c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) % 0.75/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__diff__conv_1,axiom, % 0.75/1.03 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) % 0.75/1.03 | ~ c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_zero__less__power_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__max__iff__disj_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_mult__Suc__right_0,axiom, % 0.75/1.03 c_HOL_Otimes__class_Otimes(V_m,c_Suc(V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_mult__Suc_0,axiom, % 0.75/1.03 c_HOL_Otimes__class_Otimes(c_Suc(V_m),V_n,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat)) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Beta_0,axiom, % 0.75/1.03 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)) % 0.75/1.03 | ~ c_InductTermi_OIT(V_s) % 0.75/1.03 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_foldl__Nil_0,axiom, % 0.75/1.03 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ). % 0.75/1.03 % 0.75/1.03 cnf(cls_lift__IT_0,axiom, % 0.75/1.03 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) % 0.75/1.03 | ~ c_InductTermi_OIT(V_t) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Var__apps__neq__Abs__apps_0,axiom, % 0.75/1.03 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__case__Suc_0,axiom, % 0.75/1.03 c_Nat_Onat_Onat__case(V_f1,V_f2,c_Suc(V_nat),T_a) = hAPP(V_f2,V_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Nil__is__append__conv_0,axiom, % 0.75/1.03 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.75/1.03 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Nil__is__append__conv_1,axiom, % 0.75/1.03 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.75/1.03 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.75/1.03 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.75/1.03 | V_dB = V_dB_H ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_not__sum__squares__lt__zero_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__le__add__iff1_0,axiom, % 0.75/1.03 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat) % 0.75/1.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/1.03 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__le__add__iff1_1,axiom, % 0.75/1.03 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/1.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_u,tc_nat)),V_m),V_n,tc_nat) % 0.75/1.03 | ~ c_lessequals(V_j,V_i,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__le__add__iff2_0,axiom, % 0.75/1.03 ( c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat) % 0.75/1.03 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/1.03 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__le__add__iff2_1,axiom, % 0.75/1.03 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_i,V_u,tc_nat)),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_u,tc_nat)),V_n),tc_nat) % 0.75/1.03 | ~ c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat),V_u,tc_nat)),V_n),tc_nat) % 0.75/1.03 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_of__nat__mult_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.75/1.03 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_append__is__Nil__conv_0,axiom, % 0.75/1.03 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.75/1.03 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_append__is__Nil__conv_1,axiom, % 0.75/1.03 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.75/1.03 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_min__less__iff__disj_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_class__ringb_Oadd__mul__solve_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.75/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.75/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_w,V_z,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)) % 0.75/1.03 | V_y = V_z % 0.75/1.03 | V_w = V_x ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_class__ringb_Onoteq__reduce_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.75/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.75/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_d,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) % 0.75/1.03 | V_c = V_d % 0.75/1.03 | V_a = V_b ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_natgb_Onoteq__reduce_0,axiom, % 0.75/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_c,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_d,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_a,V_d,tc_nat)),c_HOL_Otimes__class_Otimes(V_b,V_c,tc_nat)) % 0.75/1.03 | V_c = V_d % 0.75/1.03 | V_a = V_b ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_natgb_Oadd__mul__solve_0,axiom, % 0.75/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_y,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_z,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_w,V_z,tc_nat)),c_HOL_Otimes__class_Otimes(V_x,V_y,tc_nat)) % 0.75/1.03 | V_y = V_z % 0.75/1.03 | V_w = V_x ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_diff__Suc__Suc_0,axiom, % 0.75/1.03 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__nonpos__neg_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__neg__nonpos_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__SucE_0,axiom, % 0.75/1.03 ( V_m = V_n % 0.75/1.03 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__antisym_0,axiom, % 0.75/1.03 ( V_m = V_n % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_not__less__less__Suc__eq_0,axiom, % 0.75/1.03 ( V_n = V_m % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_sum__squares__le__zero__iff_2,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.03 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_diff__add__assoc_0,axiom, % 0.75/1.03 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)) % 0.75/1.03 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_diff__add__assoc2_0,axiom, % 0.75/1.03 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_i) % 0.75/1.03 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_mult__eq__1__iff_2,axiom, % 0.75/1.03 c_HOL_Otimes__class_Otimes(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_class__semiring_Osemiring__rules_I13_J_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_class__semiring_Osemiring__rules_I14_J_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_class__semiring_Osemiring__rules_I15_J_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.75/1.03 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_diff__diff__right_0,axiom, % 0.75/1.03 ( c_HOL_Ominus__class_Ominus(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.75/1.03 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__imp__diff__less_0,axiom, % 0.75/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Var__eq__apps__conv_0,axiom, % 0.75/1.03 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.75/1.03 | c_Lambda_OdB_OVar(V_m) = V_s ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_type_Orecs_I1_J_0,axiom, % 0.75/1.03 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_apps__preserves__beta_0,axiom, % 0.75/1.03 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB)) % 0.75/1.03 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_empty__replicate_1,axiom, % 0.75/1.03 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_one__is__add_4,axiom, % 0.75/1.03 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__le__not__le_2,axiom, % 0.75/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.75/1.03 | c_lessequals(V_y,V_x,T_a) % 0.75/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__less__le_1,axiom, % 0.75/1.03 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__not__refl_0,axiom, % 0.75/1.03 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_order__less__le_1,axiom, % 0.75/1.03 ( ~ class_Orderings_Oorder(T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_linorder__neq__iff_1,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_order__less__irrefl_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__imp__diff__is__add_1,axiom, % 0.75/1.03 ( ~ c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),tc_nat) % 0.75/1.03 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),V_i,tc_nat) = V_k ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_min__max_Oinf__idem_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_beta_0,axiom, % 0.75/1.03 c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__pos__pos_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__add1_0,axiom, % 0.75/1.03 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__add2_0,axiom, % 0.75/1.03 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__iff__add_1,axiom, % 0.75/1.03 c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x),tc_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__minus__add__max_0,axiom, % 0.75/1.03 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat)),V_m) = c_Orderings_Oord__class_Omax(V_n,V_m,tc_nat) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_listsum_Osimps_I2_J_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.75/1.03 | c_List_Olistsum(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Olistsum(V_xs,T_a)) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.75/1.03 | V_x = V_y ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | V_x = V_y % 0.75/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__antisym_0,axiom, % 0.75/1.03 ( V_m = V_n % 0.75/1.03 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.75/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__neq__iff_0,axiom, % 0.75/1.03 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.75/1.03 | V_m = V_n ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__less__cases_0,axiom, % 0.75/1.03 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.75/1.03 | V_m = V_n % 0.75/1.03 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_linorder__neqE__nat_0,axiom, % 0.75/1.03 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.75/1.03 | V_x = V_y ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_order__eq__iff_2,axiom, % 0.75/1.03 ( ~ class_Orderings_Oorder(T_a) % 0.75/1.03 | V_x = V_y % 0.75/1.03 | ~ c_lessequals(V_y,V_x,T_a) % 0.75/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_linorder__neqE_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.75/1.03 | V_x = V_y ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_order__antisym_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Oorder(T_a) % 0.75/1.03 | V_x = V_y % 0.75/1.03 | ~ c_lessequals(V_y,V_x,T_a) % 0.75/1.03 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_order__antisym__conv_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Oorder(T_a) % 0.75/1.03 | V_x = V_y % 0.75/1.03 | ~ c_lessequals(V_x,V_y,T_a) % 0.75/1.03 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_append__replicate__commute_0,axiom, % 0.75/1.03 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_linorder__less__linear_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.75/1.03 | V_x = V_y % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | V_x = V_y % 0.75/1.03 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.75/1.03 | c_lessequals(V_a,V_b,T_a) % 0.75/1.03 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.75/1.03 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_min__max_Osup__idem_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.75/1.03 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.75/1.03 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.75/1.03 | V_dB2 = V_dB2_H ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.75/1.03 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.75/1.03 | V_dB1 = V_dB1_H ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__strict__mono_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.75/1.03 | 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) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__less__mono_0,axiom, % 0.75/1.03 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_termination__basic__simps_I5_J_0,axiom, % 0.75/1.03 ( c_lessequals(V_x,V_y,tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__less__le_0,axiom, % 0.75/1.03 ( c_lessequals(V_m,V_n,tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_order__le__less_1,axiom, % 0.75/1.03 ( ~ class_Orderings_Oorder(T_a) % 0.75/1.03 | c_lessequals(V_x,V_y,T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_order__less__imp__le_0,axiom, % 0.75/1.03 ( ~ class_Orderings_Opreorder(T_a) % 0.75/1.03 | c_lessequals(V_x,V_y,T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom, % 0.75/1.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.75/1.03 | V_rs = V_ss ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom, % 0.75/1.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.75/1.03 | V_r = V_s ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_apps__eq__Abs__conv_0,axiom, % 0.75/1.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.75/1.03 | V_s = c_Lambda_OdB_OAbs(V_r) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_list_Osimps_I2_J_0,axiom, % 0.75/1.03 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_diff__Suc__diff__eq1_0,axiom, % 0.75/1.03 ( c_HOL_Ominus__class_Ominus(V_m,c_Suc(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),c_Suc(V_j),tc_nat) % 0.75/1.03 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.75/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_mult__nonneg__nonpos2_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.75/1.03 | c_lessequals(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.75/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_not__square__less__zero_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_dB_Orecs_I2_J_0,axiom, % 0.75/1.03 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Suc__mult__less__cancel1_1,axiom, % 0.75/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Suc__mult__less__cancel1_0,axiom, % 0.75/1.03 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Suc__lessI_0,axiom, % 0.75/1.03 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 0.75/1.03 | c_Suc(V_m) = V_n % 0.75/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_not__less__eq__eq_1,axiom, % 0.75/1.03 ( ~ c_lessequals(V_m,V_n,tc_nat) % 0.75/1.03 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_not__less__eq__eq_0,axiom, % 0.75/1.03 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.75/1.03 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.75/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z) % 0.75/1.03 | V_y = V_z ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__add__right__cancel_0,axiom, % 0.75/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k) % 0.75/1.03 | V_m = V_n ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_nat__add__left__cancel_0,axiom, % 0.75/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n) % 0.75/1.03 | V_m = V_n ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.75/1.03 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.75/1.03 | ~ class_Int_Onumber__ring(T_a) % 0.75/1.03 | 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) % 0.75/1.03 | V_y = V_z ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__imp__eq_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.75/1.03 | 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) % 0.75/1.03 | V_b = V_c ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__left__cancel_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.75/1.03 | 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) % 0.75/1.03 | V_b = V_c ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_add__right__cancel_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.75/1.03 | 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) % 0.75/1.03 | V_b = V_c ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Cons__eq__append__conv_5,axiom, % 0.75/1.03 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_Cons__eq__appendI_0,axiom, % 0.75/1.03 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_min__add__distrib__left_0,axiom, % 0.75/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.75/1.03 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Orderings_Oord__class_Omin(V_x,V_y,T_a)),V_z) = c_Orderings_Oord__class_Omin(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),T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_le__add__diff_0,axiom, % 0.75/1.03 ( c_lessequals(V_m,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_k,tc_nat),tc_nat) % 0.75/1.03 | ~ c_lessequals(V_k,V_n,tc_nat) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_neq__Nil__conv_1,axiom, % 0.75/1.03 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_list_Osimps_I3_J_0,axiom, % 0.75/1.03 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Opwr__mul_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_pwr,hAPP(hAPP(V_mul,V_x),V_y)),V_q) = hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),hAPP(hAPP(V_pwr,V_y),V_q)) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Omul__d_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_x),V_y)),hAPP(hAPP(V_mul,V_x),V_z)) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Omul__c_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Omul__a_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_mul,V_y),V_z)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_x),V_y)),V_z) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Omul__1_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Omul__0_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0 % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Oadd__c_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Oadd__a_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_add,V_x),hAPP(hAPP(V_add,V_y),V_z)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_x),V_y)),V_z) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Oadd__0_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_d) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a) % 0.75/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.75/1.03 % 0.75/1.03 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom, % 0.75/1.03 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),V_b) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,V_c),hAPP(hAPP(V_add,V_a),V_d)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,V_a),hAPP(hAPP(V_add,V_b),V_c)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_b)),hAPP(hAPP(V_add,V_c),V_d)) = hAPP(hAPP(V_add,hAPP(hAPP(V_add,V_a),V_c)),hAPP(hAPP(V_add,V_b),V_d)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,V_lx),V_ry)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ry) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),V_rx)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_rx) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),V_ly) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_rx),hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),V_ry)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,V_lx),hAPP(hAPP(V_mul,V_ly),hAPP(hAPP(V_mul,V_rx),V_ry))) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_ly)),hAPP(hAPP(V_mul,V_rx),V_ry)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_mul,V_lx),V_rx)),hAPP(hAPP(V_mul,V_ly),V_ry)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0 % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0 % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_c) = hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_c)),hAPP(hAPP(V_mul,V_b),V_c)) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,V_m),hAPP(hAPP(V_mul,V_a),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_r1)),V_m) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom, % 0.96/1.03 ( hAPP(hAPP(V_add,hAPP(hAPP(V_mul,V_a),V_m)),hAPP(hAPP(V_mul,V_b),V_m)) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_a),V_b)),V_m) % 0.96/1.03 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_type_Osplit__asm_0,axiom, % 0.96/1.03 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a))) % 0.96/1.03 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_type_Osplit_0,axiom, % 0.96/1.03 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a))) % 0.96/1.03 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_apps__eq__tail__conv_0,axiom, % 0.96/1.03 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) % 0.96/1.03 | V_r = V_s ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_var__app__types_1,axiom, % 0.96/1.03 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us)) % 0.96/1.03 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U) % 0.96/1.03 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.96/1.03 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_add__is__1_3,axiom, % 0.96/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.96/1.03 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.96/1.03 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_add__is__1_0,axiom, % 0.96/1.03 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.96/1.03 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.03 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_Suc__diff__diff_0,axiom, % 0.96/1.03 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_Suc__mult__le__cancel1_1,axiom, % 0.96/1.03 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) % 0.96/1.03 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_Suc__mult__le__cancel1_0,axiom, % 0.96/1.03 ( c_lessequals(V_m,V_n,tc_nat) % 0.96/1.03 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat),tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_sum__squares__gt__zero__iff_1,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a) % 0.96/1.03 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_sum__squares__gt__zero__iff_2,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)),T_a) % 0.96/1.03 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_Lambda_0,axiom, % 0.96/1.03 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r)) % 0.96/1.03 | ~ c_InductTermi_OIT(V_r) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.03 | 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)) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_appR_0,axiom, % 0.96/1.03 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)) % 0.96/1.03 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_appL_0,axiom, % 0.96/1.03 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)) % 0.96/1.03 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_dB_Osize_I6_J_0,axiom, % 0.96/1.03 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_min__max_Osup__commute_0,axiom, % 0.96/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.03 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_uIT_0,axiom, % 0.96/1.03 c_InductTermi_OIT(v_u____) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_power__eq__imp__eq__base_0,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.03 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 0.96/1.03 | V_a = V_b % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.96/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.03 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_le__Suc__eq_2,axiom, % 0.96/1.03 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_drop__replicate_0,axiom, % 0.96/1.03 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_min__max_Odistrib__inf__le_0,axiom, % 0.96/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.03 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a),T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_replicate__empty_1,axiom, % 0.96/1.03 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_nat_Osize_I2_J_0,axiom, % 0.96/1.03 c_nat_Onat__size(c_Suc(V_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_nat_Onat__size(V_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_min__max_Osup__inf__absorb_0,axiom, % 0.96/1.03 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.03 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = V_x ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_le__square_0,axiom, % 0.96/1.03 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_subst__lift_0,axiom, % 0.96/1.03 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ). % 0.96/1.03 % 0.96/1.03 cnf(cls_mult__less__cancel__left__disj_0,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_mult__less__cancel__left__disj_3,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_mult__less__cancel__right__disj_0,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_mult__less__cancel__right__disj_3,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_diff__diff__cancel_0,axiom, % 0.96/1.03 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i % 0.96/1.03 | ~ c_lessequals(V_i,V_n,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.96/1.03 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_lift__preserves__beta_0,axiom, % 0.96/1.03 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i)) % 0.96/1.03 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_not__Cons__self2_0,axiom, % 0.96/1.03 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 0.96/1.03 % 0.96/1.03 cnf(cls_not__Cons__self_0,axiom, % 0.96/1.03 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_min__Suc__Suc_0,axiom, % 0.96/1.03 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_le__SucE_0,axiom, % 0.96/1.03 ( V_m = c_Suc(V_n) % 0.96/1.03 | c_lessequals(V_m,V_n,tc_nat) % 0.96/1.03 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_not__less__less__Suc__eq_1,axiom, % 0.96/1.03 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_not__less__eq_1,axiom, % 0.96/1.03 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_not__less__eq_0,axiom, % 0.96/1.03 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_mult__less__cancel2_2,axiom, % 0.96/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_mult__less__cancel1_2,axiom, % 0.96/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_mult__less__mono2_0,axiom, % 0.96/1.03 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_of__nat__less__iff_1,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_of__nat__less__iff_0,axiom, % 0.96/1.03 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.03 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_lessI_0,axiom, % 0.96/1.03 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_less__Suc__eq_2,axiom, % 0.96/1.03 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_less__trans__Suc_0,axiom, % 0.96/1.03 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 0.96/1.03 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_add__le__cancel__right_1,axiom, % 0.96/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.03 | 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) % 0.96/1.03 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_add__le__cancel__right_0,axiom, % 0.96/1.03 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.03 | c_lessequals(V_a,V_b,T_a) % 0.96/1.03 | ~ 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) ) ). % 0.96/1.03 % 0.96/1.03 cnf(cls_add__le__cancel__left_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__le__cancel__left_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.04 | c_lessequals(V_a,V_b,T_a) % 0.96/1.04 | ~ 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) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__right__mono_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__left__mono_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__le__mono1_0,axiom, % 0.96/1.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat) % 0.96/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat__add__left__cancel__le_0,axiom, % 0.96/1.04 ( c_lessequals(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat__add__left__cancel__le_1,axiom, % 0.96/1.04 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) % 0.96/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__imp__diff__is__add_0,axiom, % 0.96/1.04 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.96/1.04 | V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_i) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__add__diff__inverse_0,axiom, % 0.96/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 0.96/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__add__diff__inverse2_0,axiom, % 0.96/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_n) = V_m % 0.96/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom, % 0.96/1.04 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) % 0.96/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom, % 0.96/1.04 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) % 0.96/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom, % 0.96/1.04 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) % 0.96/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_gb__semiring_Opwr__Suc_0,axiom, % 0.96/1.04 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n)) % 0.96/1.04 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel1_1,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel2_1,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__diff__assoc_0,axiom, % 0.96/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__diff__assoc2_0,axiom, % 0.96/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat)),V_i) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_k,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_drop__drop_0,axiom, % 0.96/1.04 c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_xs,T_a) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_power__le__imp__le__base_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.04 | c_lessequals(V_a,V_b,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_replicate__add_0,axiom, % 0.96/1.04 c_List_Oreplicate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__left__idem_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_x,V_y,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_of__nat__0__less__iff_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_of__nat__0__less__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__le__imp__less_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__le__less__imp__less_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_replicate__empty_0,axiom, % 0.96/1.04 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a) % 0.96/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_dB_Orecs_I3_J_0,axiom, % 0.96/1.04 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Osemiring__rules_I27_J_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_x,c_Power_Opower__class_Opower(V_x,V_q,T_a),T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Osemiring__rules_I28_J_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),V_x,T_a) = c_Power_Opower__class_Opower(V_x,c_Suc(V_q),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_empty__replicate_0,axiom, % 0.96/1.04 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a) % 0.96/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__le__0__iff_3,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__le__0__iff_2,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__le__0__iff_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__le__0__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__pos__neg2_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__pos__neg_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__neg__pos_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Suc__leD_0,axiom, % 0.96/1.04 ( c_lessequals(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__SucI_0,axiom, % 0.96/1.04 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 0.96/1.04 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_list__app__typeD_1,axiom, % 0.96/1.04 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts)) % 0.96/1.04 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_n__less__m__mult__n_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_n__less__n__mult__m_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_n,c_HOL_Otimes__class_Otimes(V_n,V_m,tc_nat),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Suc__n__not__le__n_0,axiom, % 0.96/1.04 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_less__diff__iff_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.96/1.04 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_less__diff__iff_1,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_pos__add__strict_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_subst__lt_0,axiom, % 0.96/1.04 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_dB_Osplit_2,axiom, % 0.96/1.04 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a))) % 0.96/1.04 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_dB_Osplit__asm_2,axiom, % 0.96/1.04 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a))) % 0.96/1.04 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_subst__Var__IT_0,axiom, % 0.96/1.04 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)) % 0.96/1.04 | ~ c_InductTermi_OIT(V_r) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.96/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.96/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_not__add__less1_0,axiom, % 0.96/1.04 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_not__add__less2_0,axiom, % 0.96/1.04 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_of__nat__diff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.96/1.04 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),T_a) = c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__right__mono__neg_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__left__mono__neg_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__right__mono_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__left__mono_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Omult__mono(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__mono1_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Omult__mono1(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_append__self__conv_0,axiom, % 0.96/1.04 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs % 0.96/1.04 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_self__append__conv_0,axiom, % 0.96/1.04 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a) % 0.96/1.04 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_append__self__conv2_0,axiom, % 0.96/1.04 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys % 0.96/1.04 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_self__append__conv2_0,axiom, % 0.96/1.04 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a) % 0.96/1.04 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__ringb_Oadd__scale__eq__noteq_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.96/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,T_a)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,T_a)) % 0.96/1.04 | V_c = V_d % 0.96/1.04 | V_r = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_natgb_Oadd__scale__eq__noteq_0,axiom, % 0.96/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_c,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Otimes__class_Otimes(V_r,V_d,tc_nat)) % 0.96/1.04 | V_c = V_d % 0.96/1.04 | V_r = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_append__eq__Cons__conv_4,axiom, % 0.96/1.04 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_sum__squares__eq__zero__iff_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_sum__squares__eq__zero__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a)) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_less__diff__conv_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_less__diff__conv_1,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Suc__n__not__n_0,axiom, % 0.96/1.04 c_Suc(V_n) != V_n ). % 0.96/1.04 % 0.96/1.04 cnf(cls_n__not__Suc__n_0,axiom, % 0.96/1.04 V_n != c_Suc(V_n) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__strict__right__mono_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__less__cancel__right_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__less__cancel__right_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.04 | ~ 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) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__strict__left__mono_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__less__cancel__left_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__less__cancel__left_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.04 | ~ 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) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__less__mono1_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat__add__left__cancel__less_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat__add__left__cancel__less_1,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_one__le__mult__iff_2,axiom, % 0.96/1.04 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),tc_nat) % 0.96/1.04 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_n,tc_nat) % 0.96/1.04 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),V_m,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_xt1_I6_J_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.04 | c_lessequals(V_z,V_x,T_a) % 0.96/1.04 | ~ c_lessequals(V_z,V_y,T_a) % 0.96/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_xt1_I7_J_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.96/1.04 | ~ c_lessequals(V_z,V_y,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_xt1_I8_J_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.96/1.04 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.96/1.04 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_order__trans_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.96/1.04 | c_lessequals(V_x,V_z,T_a) % 0.96/1.04 | ~ c_lessequals(V_y,V_z,T_a) % 0.96/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__refl_0,axiom, % 0.96/1.04 c_lessequals(V_n,V_n,tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__trans_0,axiom, % 0.96/1.04 ( c_lessequals(V_i,V_k,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_j,V_k,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_eq__imp__le_0,axiom, % 0.96/1.04 c_lessequals(V_x,V_x,tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_order__eq__iff_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.04 | c_lessequals(V_x,V_x,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__mono1_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat__mult__less__cancel1_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat__mult__less__cancel1_1,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__left__neg_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__left__neg_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__left__pos_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__left__pos_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__strict__left__mono__neg_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__strict__left__mono_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__left__disj_4,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__left__disj_5,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__strict__right__mono__neg_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__strict__right__mono_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__right__disj_4,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__less__cancel__right__disj_5,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__strict__left__mono__comm_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Cons__eq__append__conv_4,axiom, % 0.96/1.04 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_max__add__distrib__left_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Orderings_Oord__class_Omax(V_x,V_y,T_a)),V_z) = c_Orderings_Oord__class_Omax(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),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_app__Var__IT_0,axiom, % 0.96/1.04 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))) % 0.96/1.04 | ~ c_InductTermi_OIT(V_t) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_power__inject__base_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.04 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a) % 0.96/1.04 | V_a = V_b % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__le__mono_0,axiom, % 0.96/1.04 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_l,tc_nat),tc_nat) % 0.96/1.04 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.96/1.04 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__cube_0,axiom, % 0.96/1.04 c_lessequals(V_m,c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_m,V_m,tc_nat),tc_nat),tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__mono_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__mono_H_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Opordered__semiring(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.04 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.04 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omax(V_y,c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Nil__is__append__conv_2,axiom, % 0.96/1.04 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Osemiring__rules_I1_J_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_m,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_m,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Abs__App__neq__Var__apps_0,axiom, % 0.96/1.04 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_sum__squares__gt__zero__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_abs_0,axiom, % 0.96/1.04 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t)) % 0.96/1.04 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.04 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omax(V_x,V_y,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_replicate__append__same_0,axiom, % 0.96/1.04 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_zero__le__mult__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_zero__le__mult__iff_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_zero__le__mult__iff_2,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_zero__le__mult__iff_3,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.04 | c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.04 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.04 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_diff__add__inverse2_0,axiom, % 0.96/1.04 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ). % 0.96/1.04 % 0.96/1.04 cnf(cls_diff__add__inverse_0,axiom, % 0.96/1.04 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__diff__cancel_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_foldl__append_0,axiom, % 0.96/1.04 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_type_Osimps_I5_J_0,axiom, % 0.96/1.04 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__le__less__mono_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__less__le__mono_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.96/1.04 | 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) % 0.96/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Suc__less__eq_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Suc__mono_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__gr__0_2,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__gr__0_1,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_typing__elims_I3_J_0,axiom, % 0.96/1.04 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t)) % 0.96/1.04 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_power__eq__0__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.96/1.04 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.96/1.04 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.96/1.04 | ~ class_Power_Opower(T_a) % 0.96/1.04 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_field__power__not__zero_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.96/1.04 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Omul__0_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__zero__left_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__zero__right_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Omult__zero(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__eq__0__iff_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__eq__0__iff_2,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Osemiring__rules_I10_J_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Osemiring__rules_I9_J_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_no__zero__divirors__neq0_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_b = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_no__zero__divisors_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__eq__0__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(T_a) % 0.96/1.04 | c_HOL_Otimes__class_Otimes(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_b = c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_double__eq__0__iff_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.96/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_diff__self_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_diff__0__right_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_right__minus__eq_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.96/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.96/1.04 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.96/1.04 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_double__eq__0__iff_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.96/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_x = V_y ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_right__minus__eq_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = V_b ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.04 | V_a = V_b ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.96/1.04 | ~ class_Int_Onumber__ring(T_a) % 0.96/1.04 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__0__left_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.96/1.04 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_argT_0,axiom, % 0.96/1.04 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__0__eq_1,axiom, % 0.96/1.04 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__cancel2_1,axiom, % 0.96/1.04 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__cancel1_1,axiom, % 0.96/1.04 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_neq0__conv_1,axiom, % 0.96/1.04 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_gr0I_0,axiom, % 0.96/1.04 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.96/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Suc__neq__Zero_0,axiom, % 0.96/1.04 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.96/1.04 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_diffs0__imp__equal_0,axiom, % 0.96/1.04 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.04 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.04 | V_m = V_n ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__0__eq_0,axiom, % 0.96/1.04 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.04 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__is__0_2,axiom, % 0.96/1.04 c_HOL_Otimes__class_Otimes(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__is__0_1,axiom, % 0.96/1.04 c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_mult__is__0_0,axiom, % 0.96/1.04 ( c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.04 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__is__0_1,axiom, % 0.96/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.04 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_add__is__0_0,axiom, % 0.96/1.04 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.04 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_order__eq__refl_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.96/1.04 | c_lessequals(V_x,V_x,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_order__le__less__trans_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.96/1.04 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_order__less__le__trans_0,axiom, % 0.96/1.04 ( ~ class_Orderings_Opreorder(T_a) % 0.96/1.04 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.96/1.04 | ~ c_lessequals(V_y,V_z,T_a) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_le__add__right__mono_0,axiom, % 0.96/1.04 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.96/1.04 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.96/1.04 | ~ c_lessequals(V_c,V_d,T_a) % 0.96/1.04 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_dB_Osplit_1,axiom, % 0.96/1.04 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a))) % 0.96/1.04 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_dB_Osplit__asm_1,axiom, % 0.96/1.04 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a))) % 0.96/1.04 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_list_Oinject_0,axiom, % 0.96/1.04 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.96/1.04 | V_a = V_a_H ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_list_Oinject_1,axiom, % 0.96/1.04 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.96/1.04 | V_list = V_list_H ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom, % 0.96/1.04 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.96/1.04 | V_rs = V_ss ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom, % 0.96/1.04 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.96/1.04 | V_m = V_n ) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.96/1.04 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_min__diff_0,axiom, % 0.96/1.04 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ). % 0.96/1.04 % 0.96/1.04 cnf(cls_nat__diff__split_0,axiom, % 0.96/1.04 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) % 0.96/1.04 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) % 0.96/1.04 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__is__1_5,axiom, % 0.96/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__idem_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(V_x,V_x,T_a) = V_x ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__strict__mono_H_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__semiring__strict(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_le__less__Suc__eq_0,axiom, % 0.96/1.05 ( V_n = V_m % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.96/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_var__app__typesE_1,axiom, % 0.96/1.05 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.96/1.05 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__le__mono1_0,axiom, % 0.96/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_i,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_j,V_k,tc_nat),tc_nat) % 0.96/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__le__mono2_0,axiom, % 0.96/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_i,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_j,tc_nat),tc_nat) % 0.96/1.05 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__le__cancel1_2,axiom, % 0.96/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat),tc_nat) % 0.96/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__le__cancel2_2,axiom, % 0.96/1.05 ( c_lessequals(c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) % 0.96/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_replicate__app__Cons__same_0,axiom, % 0.96/1.05 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_zero__less__diff_0,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_zero__less__diff_1,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Suc__lessD_0,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_less__SucI_0,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_sum__squares__eq__zero__iff_2,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__less__cancel__right__disj_2,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__less__cancel__right__disj_1,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__less__cancel__left__disj_2,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_c,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__less__cancel__left__disj_1,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_subst__App_0,axiom, % 0.96/1.05 c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Suc__mult__cancel1_0,axiom, % 0.96/1.05 ( c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_m,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(V_k),V_n,tc_nat) % 0.96/1.05 | V_m = V_n ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Suc__pred_0,axiom, % 0.96/1.05 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_of__nat__add_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.96/1.05 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_diff__less_0,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_min__max_Odistrib__sup__le_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.05 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_le__eqI_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.96/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.96/1.05 | c_lessequals(V_y_H,V_x_H,T_a) % 0.96/1.05 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_le__eqI_1,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.96/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.96/1.05 | c_lessequals(V_y,V_x,T_a) % 0.96/1.05 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_less__eqI_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.96/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_less__eqI_1,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.96/1.05 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_power__mult__distrib_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Ocomm__monoid__mult(T_a) % 0.96/1.05 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Opwr__mul_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_q,T_a) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(V_x,V_q,T_a),c_Power_Opower__class_Opower(V_y,V_q,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_listsum__append_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.96/1.05 | c_List_Olistsum(c_List_Oappend(V_xs,V_ys,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_List_Olistsum(V_xs,T_a)),c_List_Olistsum(V_ys,T_a)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__diff__inverse_0,axiom, % 0.96/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 0.96/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_diff__Suc__less_0,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_append1__eq__conv_0,axiom, % 0.96/1.05 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) % 0.96/1.05 | V_xs = V_ys ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_append1__eq__conv_1,axiom, % 0.96/1.05 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) % 0.96/1.05 | V_x = V_y ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__is__1_1,axiom, % 0.96/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.96/1.05 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.96/1.05 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__is__1_2,axiom, % 0.96/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.96/1.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_min__max_Osup__inf__distrib2_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.05 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(V_y,V_z,T_a),V_x,T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_y,V_x,T_a),c_Orderings_Oord__class_Omax(V_z,V_x,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_min__max_Osup__inf__distrib1_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.05 | c_Orderings_Oord__class_Omax(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),c_Orderings_Oord__class_Omax(V_x,V_z,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_power__mult_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.96/1.05 | c_Power_Opower__class_Opower(V_a,c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),T_a) = c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(V_a,V_m,T_a),V_n,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_xt1_I11_J_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.05 | V_a = V_b % 0.96/1.05 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_xt1_I12_J_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.05 | ~ c_lessequals(V_b,V_a,T_a) % 0.96/1.05 | V_a = V_b ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat__less__le_2,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.05 | V_m = V_n % 0.96/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_le__eq__less__or__eq_0,axiom, % 0.96/1.05 ( V_m = V_n % 0.96/1.05 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_le__neq__implies__less_0,axiom, % 0.96/1.05 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.96/1.05 | V_m = V_n % 0.96/1.05 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_order__le__less_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.05 | V_x = V_y % 0.96/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.96/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_order__less__le_2,axiom, % 0.96/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.96/1.05 | V_x = V_y % 0.96/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_order__le__neq__trans_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.05 | V_a = V_b % 0.96/1.05 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_order__neq__le__trans_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.05 | ~ c_lessequals(V_a,V_b,T_a) % 0.96/1.05 | V_a = V_b ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.05 | V_x = V_y % 0.96/1.05 | ~ c_lessequals(V_x,V_y,T_a) % 0.96/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.05 | V_x = V_y % 0.96/1.05 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.96/1.05 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__nonneg__nonneg_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) % 0.96/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_zero__le__mult__iff_5,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.96/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_zero__le__mult__iff_4,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_zero__le__square_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Oordered__ring__strict(T_a) % 0.96/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_a,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__nonpos__nonpos_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.96/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.96/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_split__mult__pos__le_1,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.96/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.96/1.05 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.96/1.05 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_split__mult__pos__le_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Opordered__ring(T_a) % 0.96/1.05 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.96/1.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osize_I2_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_append__is__Nil__conv_2,axiom, % 0.96/1.05 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Suc__le__mono_0,axiom, % 0.96/1.05 ( c_lessequals(V_n,V_m,tc_nat) % 0.96/1.05 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Suc__le__mono_1,axiom, % 0.96/1.05 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 0.96/1.05 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osize_I3_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Oab__semigroup__mult(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a) = c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Osemiring__rules_I16_J_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Osemiring__rules_I17_J_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a) = c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Osemiring__rules_I18_J_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Osemiring__rules_I19_J_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a) = c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_append__assoc_0,axiom, % 0.96/1.05 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat__mult__assoc_0,axiom, % 0.96/1.05 c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Otimes__class_Otimes(V_m,c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat),tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_append__eq__appendI_0,axiom, % 0.96/1.05 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_append__eq__append__conv2_4,axiom, % 0.96/1.05 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_append__eq__append__conv2_5,axiom, % 0.96/1.05 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Omul__a_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Osemiring__rules_I8_J_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_comm__semiring__class_Odistrib_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_c,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_a,V_c,T_a)),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__mult__distrib_0,axiom, % 0.96/1.05 c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_k,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat)),c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__mult__distrib2_0,axiom, % 0.96/1.05 c_HOL_Otimes__class_Otimes(V_k,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat)),c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_class__semiring_Omul__d_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.96/1.05 | c_HOL_Otimes__class_Otimes(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_xt1_I9_J_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Oorder(T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.96/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat__le__linear_0,axiom, % 0.96/1.05 ( c_lessequals(V_n,V_m,tc_nat) % 0.96/1.05 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_linorder__linear_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Olinorder(T_a) % 0.96/1.05 | c_lessequals(V_y,V_x,T_a) % 0.96/1.05 | c_lessequals(V_x,V_y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_order__less__asym_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_order__less__asym_H_0,axiom, % 0.96/1.05 ( ~ class_Orderings_Opreorder(T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Nitpick_Onat__case__def_0,axiom, % 0.96/1.05 c_Nat_Onat_Onat__case(V_x,V_f,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_x ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat__case__0_0,axiom, % 0.96/1.05 c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = V_f1 ). % 0.96/1.05 % 0.96/1.05 cnf(cls_min__0R_0,axiom, % 0.96/1.05 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_min__0L_0,axiom, % 0.96/1.05 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__cancel2_0,axiom, % 0.96/1.05 ( c_HOL_Otimes__class_Otimes(V_m,V_k,tc_nat) != c_HOL_Otimes__class_Otimes(V_n,V_k,tc_nat) % 0.96/1.05 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.05 | V_m = V_n ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_mult__cancel1_0,axiom, % 0.96/1.05 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.96/1.05 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) % 0.96/1.05 | V_m = V_n ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat__mult__eq__cancel__disj_0,axiom, % 0.96/1.05 ( c_HOL_Otimes__class_Otimes(V_k,V_m,tc_nat) != c_HOL_Otimes__class_Otimes(V_k,V_n,tc_nat) % 0.96/1.05 | V_m = V_n % 0.96/1.05 | V_k = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_minus__nat_Odiff__0_0,axiom, % 0.96/1.05 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.96/1.05 % 0.96/1.05 cnf(cls_diff__self__eq__0_0,axiom, % 0.96/1.05 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.96/1.05 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) % 0.96/1.05 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__eq__self__zero_0,axiom, % 0.96/1.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m % 0.96/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_replicate_Oinduct_0,axiom, % 0.96/1.05 ( hBOOL(hAPP(V_P,V_nat)) % 0.96/1.05 | hBOOL(hAPP(V_P,v_sko__List__Xreplicate__Xinduct__1(V_P))) % 0.96/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Zero__neq__Suc_0,axiom, % 0.96/1.05 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.96/1.05 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat_Osplit_0,axiom, % 0.96/1.05 ( ~ hBOOL(hAPP(V_P,c_Nat_Onat_Onat__case(V_f1,V_f2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) % 0.96/1.05 | hBOOL(hAPP(V_P,V_f1)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat_Oinducts_0,axiom, % 0.96/1.05 ( hBOOL(hAPP(V_P,V_nat)) % 0.96/1.05 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinducts__1(V_P))) % 0.96/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat__gcd_Osimps_0,axiom, % 0.96/1.05 c_Nitpick_Onat__gcd(V_x,c_HOL_Ozero__class_Ozero(tc_nat)) = V_x ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat_Osize_I1_J_0,axiom, % 0.96/1.05 c_nat_Onat__size(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_char__size_0,axiom, % 0.96/1.05 c_String_Ochar_Ochar__size(V_c) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_add__is__0_2,axiom, % 0.96/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nat_Oinduct_0,axiom, % 0.96/1.05 ( hBOOL(hAPP(V_P,V_nat)) % 0.96/1.05 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinduct__1(V_P))) % 0.96/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_gr__implies__not0_0,axiom, % 0.96/1.05 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_not__less0_0,axiom, % 0.96/1.05 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_bot__nat__def_0,axiom, % 0.96/1.05 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_upt_Oinduct_0,axiom, % 0.96/1.05 ( hBOOL(hAPP(V_P,V_nat)) % 0.96/1.05 | hBOOL(hAPP(V_P,v_sko__List__Xupt__Xinduct__1(V_P))) % 0.96/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_drop__0_0,axiom, % 0.96/1.05 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ). % 0.96/1.05 % 0.96/1.05 cnf(cls_diff__0__eq__0_0,axiom, % 0.96/1.05 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_infinite__descent0_1,axiom, % 0.96/1.05 ( hBOOL(hAPP(V_P,V_n)) % 0.96/1.05 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P))) % 0.96/1.05 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_le0_0,axiom, % 0.96/1.05 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_size__char_0,axiom, % 0.96/1.05 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_replicate__eq__replicate_2,axiom, % 0.96/1.05 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_max__0R_0,axiom, % 0.96/1.05 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ). % 0.96/1.05 % 0.96/1.05 cnf(cls_max__0L_0,axiom, % 0.96/1.05 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 0.96/1.05 % 0.96/1.05 cnf(cls_replicate__eq__replicate_1,axiom, % 0.96/1.05 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.96/1.05 | V_x = V_y % 0.96/1.05 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.96/1.05 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.96/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.96/1.05 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ). % 0.96/1.05 % 0.96/1.05 cnf(cls_gb__semiring_Opwr__0_0,axiom, % 0.96/1.05 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1 % 0.96/1.05 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_listsum__foldr_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.96/1.05 | c_List_Olistsum(V_xs,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_foldl__foldr1_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.96/1.05 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_foldl__foldr1__lemma_0,axiom, % 0.96/1.05 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.96/1.05 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osplit__asm_0,axiom, % 0.96/1.05 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a))) % 0.96/1.05 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osplit_0,axiom, % 0.96/1.05 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a))) % 0.96/1.05 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_subst__eq_0,axiom, % 0.96/1.05 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ). % 0.96/1.05 % 0.96/1.05 cnf(cls_beta__cases_I1_J_0,axiom, % 0.96/1.05 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Orecs_I1_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Var__IT_0,axiom, % 0.96/1.05 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osimps_I10_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.96/1.05 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_argsT_0,axiom, % 0.96/1.05 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_nT_0,axiom, % 0.96/1.05 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_var__app__type__eq_0,axiom, % 0.96/1.05 ( V_T = V_U % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_subject__reduction_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_e,V_t_H,V_T) % 0.96/1.05 | ~ c_Lambda_Obeta(V_t,V_t_H) % 0.96/1.05 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_abs__typeE_0,axiom, % 0.96/1.05 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xabs__typeE__1__2(V_e,V_t)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_typing__elims_I3_J_1,axiom, % 0.96/1.05 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_typing__elims_I2_J_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Osimps_I4_J_0,axiom, % 0.96/1.05 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type__induct_1,axiom, % 0.96/1.05 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.96/1.05 | hBOOL(hAPP(V_P,V_T)) % 0.96/1.05 | hBOOL(hAPP(V_P,V_T2)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type__induct_0,axiom, % 0.96/1.05 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x) % 0.96/1.05 | hBOOL(hAPP(V_P,V_T)) % 0.96/1.05 | hBOOL(hAPP(V_P,V_T1a)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Orecs_I2_J_0,axiom, % 0.96/1.05 c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Osimps_I6_J_0,axiom, % 0.96/1.05 c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Osplit__asm_1,axiom, % 0.96/1.05 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_xa),V_xb),t_a))) % 0.96/1.05 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Osplit_1,axiom, % 0.96/1.05 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),t_a))) % 0.96/1.05 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Osimps_I3_J_0,axiom, % 0.96/1.05 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_foldr_Osimps_I2_J_0,axiom, % 0.96/1.05 c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_foldr__append_0,axiom, % 0.96/1.05 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_foldr_Osimps_I1_J_0,axiom, % 0.96/1.05 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ). % 0.96/1.05 % 0.96/1.05 cnf(cls_MI2_0,axiom, % 0.96/1.05 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.96/1.05 | c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,V_u,V_T2) % 0.96/1.05 | ~ c_InductTermi_OIT(V_u) % 0.96/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta) % 0.96/1.05 | ~ c_InductTermi_OIT(V_t) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_MI1_0,axiom, % 0.96/1.05 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.96/1.05 | c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,V_u,V_T1) % 0.96/1.05 | ~ c_InductTermi_OIT(V_u) % 0.96/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta) % 0.96/1.05 | ~ c_InductTermi_OIT(V_t) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_var__app__types_0,axiom, % 0.96/1.05 ( V_U = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U) % 0.96/1.05 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_shift__gt_0,axiom, % 0.96/1.05 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j) % 0.96/1.05 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_list__app__typeE_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_list__app__typeI_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) % 0.96/1.05 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.96/1.05 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_list__app__typeD_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_uT_0,axiom, % 0.96/1.05 c_Type_Otyping(v_e____,v_u____,v_T____) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_var__app__typesE_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_power__eq__0__iff_2,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.96/1.05 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.96/1.05 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.96/1.05 | ~ class_Power_Opower(T_a) % 0.96/1.05 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_power__0__left_1,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.96/1.05 | ~ class_Power_Opower(T_a) % 0.96/1.05 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.96/1.05 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_power__eq__0__iff_1,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.96/1.05 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.96/1.05 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.96/1.05 | ~ class_Power_Opower(T_a) % 0.96/1.05 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_of__nat__0_0,axiom, % 0.96/1.05 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.96/1.05 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osize_I4_J_0,axiom, % 0.96/1.05 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osize_I1_J_0,axiom, % 0.96/1.05 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_headT_0,axiom, % 0.96/1.05 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_shift__commute_0,axiom, % 0.96/1.05 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_App_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U) % 0.96/1.05 | ~ c_Type_Otyping(V_env,V_t,V_T) % 0.96/1.05 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_lift__type_0,axiom, % 0.96/1.05 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T) % 0.96/1.05 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_subst__lemma_0,axiom, % 0.96/1.05 ( ~ c_Type_Otyping(V_e_H,V_u,V_U) % 0.96/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T) % 0.96/1.05 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_varT_0,axiom, % 0.96/1.05 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_T_0,axiom, % 0.96/1.05 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_uT_H_0,axiom, % 0.96/1.05 c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_Abs_0,axiom, % 0.96/1.05 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) % 0.96/1.05 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.96/1.05 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.96/1.05 | V_nat = V_nat_H ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Osimps_I2_J_0,axiom, % 0.96/1.05 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.96/1.05 | V_type1 = V_type1_H ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_type_Osimps_I2_J_1,axiom, % 0.96/1.05 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.96/1.05 | V_type2 = V_type2_H ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_shift__eq_0,axiom, % 0.96/1.05 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ). % 0.96/1.05 % 0.96/1.05 cnf(cls_typing__elims_I1_J_0,axiom, % 0.96/1.05 ( hAPP(V_e,V_i) = V_T % 0.96/1.05 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_typing_OVar_0,axiom, % 0.96/1.05 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_conjecture_0,negated_conjecture, % 0.96/1.05 ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.96/1.05 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.96/1.05 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.96/1.05 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.96/1.05 | ~ class_Orderings_Oorder(T_1) ) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.96/1.05 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.96/1.05 | ~ class_Orderings_Obot(T_1) ) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.96/1.05 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.96/1.05 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict,axiom, % 0.96/1.05 class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Opordered__cancel__semiring,axiom, % 0.96/1.05 class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring__strict,axiom, % 0.96/1.05 class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.96/1.05 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.96/1.05 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.96/1.05 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.96/1.05 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Opordered__semiring,axiom, % 0.96/1.05 class_Ring__and__Field_Opordered__semiring(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semiring,axiom, % 0.96/1.05 class_Ring__and__Field_Oordered__semiring(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.96/1.05 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.96/1.05 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.96/1.05 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__mult,axiom, % 0.96/1.05 class_OrderedGroup_Oab__semigroup__mult(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__mult,axiom, % 0.96/1.05 class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.96/1.05 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring,axiom, % 0.96/1.05 class_Ring__and__Field_Ocomm__semiring(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.96/1.05 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.96/1.05 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 0.96/1.05 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.96/1.05 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.96/1.05 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom, % 0.96/1.05 class_Ring__and__Field_Omult__mono1(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.96/1.05 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Omult__mono,axiom, % 0.96/1.05 class_Ring__and__Field_Omult__mono(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.96/1.05 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Ring__and__Field_Osemiring,axiom, % 0.96/1.05 class_Ring__and__Field_Osemiring(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.96/1.05 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.96/1.05 class_Nat_Osemiring__char__0(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.96/1.05 class_Orderings_Opreorder(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.96/1.05 class_Orderings_Olinorder(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.96/1.05 class_Orderings_Oorder(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.96/1.05 class_Orderings_Obot(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(clsarity_nat__Power_Opower,axiom, % 0.96/1.05 class_Power_Opower(tc_nat) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.96/1.05 c_fequal(V_x,V_x,T_a) ). % 0.96/1.05 % 0.96/1.05 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.96/1.05 ( V_X = V_Y % 0.96/1.05 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.96/1.05 % 0.96/1.05 %------------------------------------------------------------------------------ % 0.96/1.05 %------------------------------------------- % 0.96/1.05 % Proof found % 0.96/1.05 % SZS status Theorem for theBenchmark % 0.96/1.05 % SZS output start Proof % 0.96/1.05 %ClaNum:1138(EqnAxiom:203) % 0.96/1.05 %VarNum:6084(SingletonVarNum:2386) % 0.96/1.05 %MaxLitNum:6 % 0.96/1.05 %MaxfuncDepth:6 % 0.96/1.05 %SharedTerms:93 % 0.96/1.05 %goalClause: 420 % 0.96/1.05 %singleGoalClaCount:1 % 0.96/1.05 [204]E(a1,a62) % 0.96/1.05 [205]P1(a2) % 0.96/1.05 [206]P2(a2) % 0.96/1.05 [207]P35(a2) % 0.96/1.05 [208]P3(a2) % 0.96/1.05 [209]P36(a2) % 0.96/1.05 [210]P4(a2) % 0.96/1.05 [211]P5(a2) % 0.96/1.05 [212]P37(a2) % 0.96/1.05 [213]P22(a2) % 0.96/1.05 [214]P27(a2) % 0.96/1.05 [215]P23(a2) % 0.96/1.05 [216]P29(a2) % 0.96/1.05 [217]P33(a2) % 0.96/1.05 [218]P34(a2) % 0.96/1.05 [219]P6(a2) % 0.96/1.05 [220]P31(a2) % 0.96/1.05 [221]P32(a2) % 0.96/1.05 [222]P7(a2) % 0.96/1.05 [223]P47(a2) % 0.96/1.05 [224]P48(a2) % 0.96/1.05 [225]P49(a2) % 0.96/1.05 [226]P8(a63) % 0.96/1.05 [227]P56(a2) % 0.96/1.05 [228]P30(a2) % 0.96/1.05 [229]P18(a2) % 0.96/1.05 [230]P21(a2) % 0.96/1.05 [231]P39(a2) % 0.96/1.05 [232]P41(a2) % 0.96/1.05 [233]P42(a2) % 0.96/1.05 [234]P50(a2) % 0.96/1.05 [235]P57(a2) % 0.96/1.05 [236]P43(a2) % 0.96/1.05 [237]P44(a2) % 0.96/1.05 [238]P24(a2) % 0.96/1.05 [239]P19(a2) % 0.96/1.05 [240]P38(a2) % 0.96/1.05 [248]P11(a55,a63,a56) % 0.96/1.05 [241]E(f3(a2),f8(a2)) % 0.96/1.05 [363]P11(f35(a55,a1,a56,a53),a59,a57) % 0.96/1.05 [364]P15(f35(a55,a1,a56,a53),a61,a60) % 0.96/1.05 [242]E(f29(f3(a2)),f3(a2)) % 0.96/1.05 [379]E(f51(f51(a48,a57),f23(a48,a60,a58,a53,a53)),a56) % 0.96/1.05 [381]P11(f35(a55,a1,a56,a53),f22(a11,f9(a62),a64,a50,a50),a58) % 0.96/1.05 [385]P11(a55,a63,f51(f51(a48,a57),f23(a48,a60,a58,a53,a53))) % 0.96/1.05 [388]P11(f35(a55,a1,a56,a53),f9(a62),f51(f51(a48,a57),f23(a48,a60,a58,a53,a53))) % 0.96/1.05 [420]~P11(f35(a55,f3(a2),f23(a48,a60,a58,a53,a53),a53),f9(f3(a2)),f23(a48,a60,a58,a53,a53)) % 0.96/1.05 [292]E(f7(f32(f3(a2)),f32(f3(a2)),a2),f32(f3(a2))) % 0.96/1.05 [382]P11(f35(a55,a1,a56,a53),f51(f51(a11,f9(a62)),a59),f23(a48,a60,a58,a53,a53)) % 0.96/1.05 [252]P13(x2521,x2521,a2) % 0.96/1.05 [406]~P9(x4061,x4061,a2) % 0.96/1.05 [243]P8(f9(x2431)) % 0.96/1.05 [245]E(f15(x2451,a49),f3(a2)) % 0.96/1.05 [255]E(f5(x2551,x2551,a2),f3(a2)) % 0.96/1.05 [256]P13(f3(a2),x2561,a2) % 0.96/1.05 [268]P9(x2681,f32(x2681),a2) % 0.96/1.05 [279]P9(f3(a2),f32(x2791),a2) % 0.96/1.05 [310]P13(x3101,f7(x3101,x3101,a2),a2) % 0.96/1.05 [391]~E(f32(x3911),x3911) % 0.96/1.05 [395]~E(f32(x3951),f3(a2)) % 0.96/1.05 [410]~P9(x4101,f3(a2),a2) % 0.96/1.05 [414]~P13(f32(x4141),x4141,a2) % 0.96/1.05 [244]E(f12(f9(x2441)),f3(a2)) % 0.96/1.05 [246]E(f28(x2461,f3(a2)),x2461) % 0.96/1.05 [247]E(f15(f9(x2471),a50),f3(a2)) % 0.96/1.05 [250]E(f51(f51(f4(a2),x2501),f3(a2)),x2501) % 0.96/1.05 [257]E(f5(x2571,f3(a2),a2),x2571) % 0.96/1.05 [258]E(f30(x2581,f3(a2),a2),x2581) % 0.96/1.05 [259]E(f30(f3(a2),x2591,a2),x2591) % 0.96/1.05 [262]E(f7(x2621,f3(a2),a2),f3(a2)) % 0.96/1.05 [263]E(f31(x2631,f3(a2),a2),f3(a2)) % 0.96/1.05 [264]E(f7(f3(a2),x2641,a2),f3(a2)) % 0.96/1.05 [265]E(f5(f3(a2),x2651,a2),f3(a2)) % 0.96/1.05 [266]E(f31(f3(a2),x2661,a2),f3(a2)) % 0.96/1.05 [352]P13(x3521,f7(x3521,f7(x3521,x3521,a2),a2),a2) % 0.96/1.05 [253]E(f51(f51(f4(a2),f3(a2)),x2531),x2531) % 0.96/1.05 [287]E(f51(f51(f4(a2),f29(x2871)),f32(f3(a2))),f29(f32(x2871))) % 0.96/1.05 [288]E(f51(f51(f4(a2),f12(x2881)),f32(f3(a2))),f12(f10(x2881))) % 0.96/1.05 [301]E(f51(f51(f4(a2),f15(x3011,a50)),f32(f3(a2))),f15(f10(x3011),a50)) % 0.96/1.05 [254]P14(x2541,x2541,x2542) % 0.96/1.05 [293]P11(x2931,f9(x2932),f51(x2931,x2932)) % 0.96/1.05 [295]E(f7(x2951,x2952,a2),f7(x2952,x2951,a2)) % 0.96/1.05 [311]P13(f5(x3111,x3112,a2),x3111,a2) % 0.96/1.05 [312]P9(f5(x3121,x3122,a2),f32(x3121),a2) % 0.96/1.05 [397]~E(f9(x3971),f10(x3972)) % 0.96/1.05 [398]~P12(f9(x3981),x3982) % 0.96/1.05 [261]E(f16(f3(a2),x2611,x2612),x2611) % 0.96/1.05 [273]E(f17(x2731,f20(x2732),x2732),x2731) % 0.96/1.05 [274]E(f17(f20(x2741),x2742,x2741),x2742) % 0.96/1.05 [275]E(f18(f9(x2751),x2752,x2751),x2752) % 0.96/1.05 [277]E(f24(f3(a2),x2771,x2772),f20(x2772)) % 0.96/1.05 [280]E(f16(x2801,f20(x2802),x2802),f20(x2802)) % 0.96/1.05 [297]E(f7(x2971,f3(a2),a2),f7(x2972,f3(a2),a2)) % 0.96/1.05 [298]E(f7(f3(a2),x2981,a2),f7(f3(a2),x2982,a2)) % 0.96/1.05 [300]E(f5(f32(x3001),f32(x3002),a2),f5(x3001,x3002,a2)) % 0.96/1.05 [313]E(f31(f32(x3131),f32(x3132),a2),f32(f31(x3131,x3132,a2))) % 0.96/1.05 [314]E(f30(f32(x3141),f32(x3142),a2),f32(f30(x3141,x3142,a2))) % 0.96/1.05 [316]E(f51(f51(f4(a2),x3161),f7(x3161,x3162,a2)),f7(x3161,f32(x3162),a2)) % 0.96/1.05 [317]E(f51(f51(f4(a2),x3171),f7(x3172,x3171,a2)),f7(f32(x3172),x3171,a2)) % 0.96/1.05 [294]E(f51(f51(f4(a2),x2941),x2942),f51(f51(f4(a2),x2942),x2941)) % 0.96/1.05 [296]E(f51(f51(f4(a2),f32(x2961)),x2962),f51(f51(f4(a2),x2961),f32(x2962))) % 0.96/1.05 [302]P13(x3021,f51(f51(f4(a2),x3022),x3021),a2) % 0.96/1.05 [304]P13(x3041,f51(f51(f4(a2),x3041),x3042),a2) % 0.96/1.05 [323]P12(f51(f51(a11,f10(x3231)),x3232),f18(x3231,x3232,f3(a2))) % 0.96/1.05 [337]E(f51(f51(f4(a2),f5(x3371,x3372,a2)),x3372),f30(x3371,x3372,a2)) % 0.96/1.05 [353]E(f51(f51(f4(a2),f51(f51(f4(a2),f12(x3531)),f12(x3532))),f32(f3(a2))),f12(f51(f51(a11,x3531),x3532))) % 0.96/1.05 [366]E(f51(f51(f4(a2),f51(f51(f4(a2),f15(x3661,a50)),f15(x3662,a50))),f32(f3(a2))),f15(f51(f51(a11,x3661),x3662),a50)) % 0.96/1.05 [416]~P9(f51(f51(f4(a2),x4161),x4162),x4162,a2) % 0.96/1.05 [417]~P9(f51(f51(f4(a2),x4171),x4172),x4171,a2) % 0.96/1.05 [305]E(f5(f51(f51(f4(a2),x3051),x3052),x3052,a2),x3051) % 0.96/1.05 [306]E(f5(f51(f51(f4(a2),x3061),x3062),x3061,a2),x3062) % 0.96/1.05 [307]E(f5(x3071,f51(f51(f4(a2),x3071),x3072),a2),f3(a2)) % 0.96/1.05 [308]E(f32(f51(f51(f4(a2),x3081),x3082)),f51(f51(f4(a2),x3081),f32(x3082))) % 0.96/1.05 [309]E(f32(f51(f51(f4(a2),x3091),x3092)),f51(f51(f4(a2),f32(x3091)),x3092)) % 0.96/1.05 [324]P9(x3241,f32(f51(f51(f4(a2),x3242),x3241)),a2) % 0.96/1.05 [326]P9(x3261,f32(f51(f51(f4(a2),x3261),x3262)),a2) % 0.96/1.05 [408]~E(f21(x4081,x4082,x4083),x4082) % 0.96/1.05 [413]~E(f21(x4131,x4132,x4133),f20(x4133)) % 0.96/1.05 [291]E(f18(f19(x2911,x2912),x2913,x2912),x2911) % 0.96/1.05 [299]E(f24(f3(a2),x2991,x2992),f24(f3(a2),x2993,x2992)) % 0.96/1.05 [320]E(f21(x3201,f24(x3202,x3201,x3203),x3203),f24(f32(x3202),x3201,x3203)) % 0.96/1.05 [328]E(f26(x3281,x3282,f3(a2),x3283),x3281) % 0.96/1.05 [338]E(f7(f7(x3381,x3382,a2),x3383,a2),f7(x3381,f7(x3382,x3383,a2),a2)) % 0.96/1.05 [339]E(f5(f5(x3391,x3392,a2),x3393,a2),f5(f5(x3391,x3393,a2),x3392,a2)) % 0.96/1.05 [349]E(f5(f5(f32(x3491),x3492,a2),f32(x3493),a2),f5(f5(x3491,x3492,a2),x3493,a2)) % 0.96/1.05 [355]E(f5(f7(x3551,x3552,a2),f7(x3551,x3553,a2),a2),f7(x3551,f5(x3552,x3553,a2),a2)) % 0.96/1.05 [356]E(f5(f7(x3561,x3562,a2),f7(x3563,x3562,a2),a2),f7(f5(x3561,x3563,a2),x3562,a2)) % 0.96/1.05 [357]E(f31(f5(x3571,x3572,a2),f5(x3573,x3572,a2),a2),f5(f31(x3571,x3573,a2),x3572,a2)) % 0.96/1.05 [399]~E(f10(x3991),f51(f51(a11,x3992),x3993)) % 0.96/1.05 [400]~E(f9(x4001),f51(f51(a11,x4002),x4003)) % 0.96/1.05 [401]~E(f34(x4011),f51(f51(a48,x4012),x4013)) % 0.96/1.05 [402]~E(f51(f51(a11,x4021),x4022),f10(x4023)) % 0.96/1.05 [403]~E(f51(f51(a11,x4031),x4032),f9(x4033)) % 0.96/1.05 [404]~E(f51(f51(a48,x4041),x4042),f34(x4043)) % 0.96/1.05 [315]E(f51(f51(a11,f19(x3151,x3152)),f19(x3153,x3152)),f19(f51(f51(a11,x3151),x3153),x3152)) % 0.96/1.05 [358]E(f17(f24(x3581,x3582,x3583),f21(x3582,f20(x3583),x3583),x3583),f21(x3582,f24(x3581,x3582,x3583),x3583)) % 0.96/1.05 [332]E(f51(f51(f4(a2),x3321),f51(f51(f4(a2),x3322),x3323)),f51(f51(f4(a2),x3322),f51(f51(f4(a2),x3321),x3323))) % 0.96/1.05 [333]E(f5(f51(f51(f4(a2),x3331),x3332),f51(f51(f4(a2),x3333),x3332),a2),f5(x3331,x3333,a2)) % 0.96/1.05 [334]E(f5(f51(f51(f4(a2),x3341),x3342),f51(f51(f4(a2),x3341),x3343),a2),f5(x3342,x3343,a2)) % 0.96/1.05 [335]E(f5(x3351,f51(f51(f4(a2),x3352),x3353),a2),f5(f5(x3351,x3352,a2),x3353,a2)) % 0.96/1.05 [360]E(f51(f51(f4(a2),f7(x3601,x3602,a2)),f7(x3601,x3603,a2)),f7(x3601,f51(f51(f4(a2),x3602),x3603),a2)) % 0.96/1.05 [361]E(f51(f51(f4(a2),f7(x3611,x3612,a2)),f7(x3613,x3612,a2)),f7(f51(f51(f4(a2),x3611),x3613),x3612,a2)) % 0.96/1.05 [351]E(f51(f51(f4(a2),f51(f51(f4(a2),x3511),x3512)),x3513),f51(f51(f4(a2),x3511),f51(f51(f4(a2),x3512),x3513))) % 0.96/1.05 [322]E(f16(f32(x3221),f21(x3222,x3223,x3224),x3224),f16(x3221,x3223,x3224)) % 0.96/1.05 [329]E(f26(x3291,x3292,f32(x3293),x3294),f51(x3292,x3293)) % 0.96/1.05 [330]E(f46(x3301,x3302,f34(x3303),x3304),f51(x3301,x3303)) % 0.96/1.05 [331]E(f47(x3311,x3312,f34(x3313),x3314),f51(x3311,x3313)) % 0.96/1.05 [340]E(f16(x3401,f24(x3402,x3403,x3404),x3404),f24(f5(x3402,x3401,a2),x3403,x3404)) % 0.96/1.05 [346]E(f17(f17(x3461,x3462,x3463),x3464,x3463),f17(x3461,f17(x3462,x3464,x3463),x3463)) % 0.96/1.05 [348]E(f21(x3481,f17(x3482,x3483,x3484),x3484),f17(f21(x3481,x3482,x3484),x3483,x3484)) % 0.96/1.05 [362]E(f51(f35(x3621,x3622,x3623,x3624),x3622),x3623) % 0.96/1.05 [365]E(f17(f24(x3651,x3652,x3653),f24(x3654,x3652,x3653),x3653),f17(f24(x3654,x3652,x3653),f24(x3651,x3652,x3653),x3653)) % 0.96/1.05 [370]E(f22(x3701,x3702,f20(x3703),x3704,x3703),x3702) % 0.96/1.05 [371]E(f23(x3711,f20(x3712),x3713,x3712,x3714),x3713) % 0.96/1.05 [419]~E(f22(a11,f9(x4191),x4192,a50,a50),f22(a11,f10(x4193),x4194,a50,a50)) % 0.96/1.05 [359]E(f51(f51(a11,f18(x3591,x3592,x3593)),f18(x3594,x3592,x3593)),f18(f51(f51(a11,x3591),x3594),x3592,x3593)) % 0.96/1.05 [367]E(f21(x3671,f17(f24(x3672,x3671,x3673),x3674,x3673),x3673),f17(f24(x3672,x3671,x3673),f21(x3671,x3674,x3673),x3673)) % 0.96/1.05 [418]~E(f51(f51(a11,f10(x4181)),x4182),f22(a11,f9(x4183),x4184,a50,a50)) % 0.96/1.05 [336]E(f16(x3361,f16(x3362,x3363,x3364),x3364),f16(f51(f51(f4(a2),x3361),x3362),x3363,x3364)) % 0.96/1.05 [354]E(f17(f24(x3541,x3542,x3543),f24(x3544,x3542,x3543),x3543),f24(f51(f51(f4(a2),x3541),x3544),x3542,x3543)) % 0.96/1.05 [376]E(f51(f51(f4(a2),f7(x3761,x3762,a2)),f51(f51(f4(a2),f7(x3763,x3762,a2)),x3764)),f51(f51(f4(a2),f7(f51(f51(f4(a2),x3761),x3763),x3762,a2)),x3764)) % 0.96/1.05 [372]E(f13(x3721,x3722,x3723,f10(x3724),x3725),f51(x3723,x3724)) % 0.96/1.05 [373]E(f13(x3731,x3732,x3733,f9(x3734),x3735),f51(x3731,x3734)) % 0.96/1.05 [374]E(f14(x3741,x3742,x3743,f9(x3744),x3745),f51(x3741,x3744)) % 0.96/1.05 [377]E(f35(f35(x3771,f3(a2),x3772,x3773),f32(x3774),x3775,x3773),f35(f35(x3771,x3774,x3775,x3773),f3(a2),x3772,x3773)) % 0.96/1.05 [383]E(f51(f51(x3831,x3832),f14(x3833,x3834,x3831,x3832,x3835)),f14(x3833,x3834,x3831,f10(x3832),x3835)) % 0.96/1.05 [350]E(f47(x3501,x3502,f51(f51(a48,x3503),x3504),x3505),f51(f51(x3502,x3503),x3504)) % 0.96/1.05 [378]E(f51(f51(f51(f51(x3781,x3782),x3783),f46(x3784,x3781,x3782,x3785)),f46(x3784,x3781,x3783,x3785)),f46(x3784,x3781,f51(f51(a48,x3782),x3783),x3785)) % 0.96/1.05 [384]E(f23(x3841,f21(x3842,x3843,x3844),x3845,x3844,x3846),f51(f51(x3841,x3842),f23(x3841,x3843,x3845,x3844,x3846))) % 0.96/1.05 [386]E(f22(x3861,f22(x3861,x3862,x3863,x3864,x3865),x3866,x3864,x3865),f22(x3861,x3862,f17(x3863,x3866,x3865),x3864,x3865)) % 0.96/1.05 [387]E(f23(x3871,x3872,f23(x3871,x3873,x3874,x3875,x3876),x3875,x3876),f23(x3871,f17(x3872,x3873,x3875),x3874,x3875,x3876)) % 0.96/1.05 [375]E(f13(x3751,x3752,x3753,f51(f51(a11,x3754),x3755),x3756),f51(f51(x3752,x3754),x3755)) % 0.96/1.05 [380]E(f22(x3801,x3802,f21(x3803,x3804,x3805),x3806,x3805),f22(x3801,f51(f51(x3801,x3802),x3803),x3804,x3806,x3805)) % 0.96/1.05 [389]E(f51(f51(f51(f51(x3891,x3892),x3893),f14(x3894,x3891,x3895,x3892,x3896)),f14(x3894,x3891,x3895,x3893,x3896)),f14(x3894,x3891,x3895,f51(f51(a11,x3892),x3893),x3896)) % 0.96/1.05 [426]~P8(x4261)+P8(f10(x4261)) % 0.96/1.05 [435]E(x4351,f3(a2))+P9(f3(a2),x4351,a2) % 0.96/1.05 [473]E(x4731,f3(a2))+~P13(x4731,f3(a2),a2) % 0.96/1.05 [427]~P56(x4271)+E(f27(f3(a2),x4271),f3(x4271)) % 0.96/1.05 [428]~P23(x4281)+E(f25(f20(x4281),x4281),f3(x4281)) % 0.96/1.05 [466]~P26(x4661)+E(f51(f51(f4(x4661),f3(x4661)),f3(x4661)),f3(x4661)) % 0.96/1.05 [507]E(x5071,f3(a2))+~P9(x5071,f32(f3(a2)),a2) % 0.96/1.05 [911]~P46(x9111)+E(f51(f51(f4(x9111),f7(f3(x9111),f3(x9111),x9111)),f7(f3(x9111),f3(x9111),x9111)),f3(x9111)) % 0.96/1.05 [1014]~P46(x10141)+P13(f51(f51(f4(x10141),f7(f3(x10141),f3(x10141),x10141)),f7(f3(x10141),f3(x10141),x10141)),f3(x10141),x10141) % 0.96/1.05 [1032]~P46(x10321)+~P9(f3(x10321),f51(f51(f4(x10321),f7(f3(x10321),f3(x10321),x10321)),f7(f3(x10321),f3(x10321),x10321)),x10321) % 0.96/1.05 [660]~P9(f3(a2),x6601,a2)+E(f32(f5(x6601,f32(f3(a2)),a2)),x6601) % 0.96/1.05 [436]~P33(x4362)+P13(x4361,x4361,x4362) % 0.96/1.05 [437]~P34(x4372)+P13(x4371,x4371,x4372) % 0.96/1.05 [478]~P9(x4782,x4782,x4781)+~P3(x4781) % 0.96/1.05 [479]~P9(x4792,x4792,x4791)+~P33(x4791) % 0.96/1.05 [480]~P9(x4802,x4802,x4801)+~P34(x4801) % 0.96/1.05 [506]P13(x5062,x5061,a2)+P13(x5061,x5062,a2) % 0.96/1.05 [552]~P9(x5521,x5522,a2)+P13(x5521,x5522,a2) % 0.96/1.05 [422]E(x4221,x4222)+~E(f32(x4221),f32(x4222)) % 0.96/1.05 [423]E(x4231,x4232)+~E(f10(x4231),f10(x4232)) % 0.96/1.05 [424]E(x4241,x4242)+~E(f9(x4241),f9(x4242)) % 0.96/1.05 [425]E(x4251,x4252)+~E(f34(x4251),f34(x4252)) % 0.96/1.05 [429]~P33(x4292)+P33(f54(x4291,x4292)) % 0.96/1.05 [430]~P34(x4302)+P34(f54(x4301,x4302)) % 0.96/1.05 [431]~P31(x4312)+P31(f54(x4311,x4312)) % 0.96/1.05 [432]~P8(x4321)+P8(f19(x4321,x4322)) % 0.96/1.05 [433]~P12(x4331,x4332)+P12(f10(x4331),f10(x4332)) % 0.96/1.05 [438]~P20(x4382)+E(f7(x4381,x4381,x4382),x4381) % 0.96/1.05 [439]~P3(x4392)+E(f31(x4391,x4391,x4392),x4391) % 0.96/1.05 [440]~P3(x4402)+E(f30(x4401,x4401,x4402),x4401) % 0.96/1.05 [442]~P25(x4422)+E(f5(x4421,x4421,x4422),f3(x4422)) % 0.96/1.05 [443]~P17(x4432)+E(f5(x4431,x4431,x4432),f3(x4432)) % 0.96/1.05 [447]~P31(x4471)+P13(f8(x4471),x4472,x4471) % 0.96/1.05 [482]~P36(x4821)+P13(f3(x4821),f27(x4822,x4821),x4821) % 0.96/1.05 [519]P9(x5191,x5192,a2)+P9(x5192,f32(x5191),a2) % 0.96/1.05 [521]P13(x5211,x5212,a2)+P13(f32(x5212),x5211,a2) % 0.96/1.05 [553]~P13(x5531,x5532,a2)+E(f5(x5531,x5532,a2),f3(a2)) % 0.96/1.05 [557]P13(x5571,x5572,a2)+~E(f5(x5571,x5572,a2),f3(a2)) % 0.96/1.05 [558]~P9(x5581,x5582,a2)+P9(x5581,f32(x5582),a2) % 0.96/1.05 [559]~P13(x5591,x5592,a2)+P9(x5591,f32(x5592),a2) % 0.96/1.05 [561]~P13(x5611,x5612,a2)+P13(x5611,f32(x5612),a2) % 0.96/1.05 [563]~P9(x5631,x5632,a2)+P13(f32(x5631),x5632,a2) % 0.96/1.05 [564]~P36(x5641)+~P9(f27(x5642,x5641),f3(x5641),x5641) % 0.96/1.05 [565]P13(x5651,x5652,a2)+~P9(x5651,f32(x5652),a2) % 0.96/1.05 [566]P9(x5661,x5662,a2)+~P9(f32(x5661),x5662,a2) % 0.96/1.05 [568]P9(x5681,x5682,a2)+~P13(f32(x5681),x5682,a2) % 0.96/1.05 [569]P13(x5691,x5692,a2)+~P13(f32(x5691),x5692,a2) % 0.96/1.05 [585]~P9(x5851,x5852,a2)+P9(f32(x5851),f32(x5852),a2) % 0.96/1.05 [586]~P13(x5861,x5862,a2)+P13(f32(x5861),f32(x5862),a2) % 0.96/1.05 [600]P9(x6001,x6002,a2)+~P9(f32(x6001),f32(x6002),a2) % 0.96/1.05 [601]P13(x6011,x6012,a2)+~P13(f32(x6011),f32(x6012),a2) % 0.96/1.05 [622]~P46(x6221)+P13(f3(x6221),f7(x6222,x6222,x6221),x6221) % 0.96/1.05 [624]~P9(x6241,x6242,a2)+~P9(x6242,f32(x6241),a2) % 0.96/1.05 [625]~P13(x6251,x6252,a2)+~P13(f32(x6252),x6251,a2) % 0.96/1.05 [696]~P9(x6962,x6961,a2)+P9(f3(a2),f5(x6961,x6962,a2),a2) % 0.96/1.05 [727]~P46(x7271)+~P9(f7(x7272,x7272,x7271),f3(x7271),x7271) % 0.96/1.05 [735]P9(x7351,x7352,a2)+~P9(f3(a2),f5(x7352,x7351,a2),a2) % 0.96/1.05 [736]P9(f3(a2),x7361,a2)+~P9(f3(a2),f7(x7362,x7361,a2),a2) % 0.96/1.05 [737]P9(f3(a2),x7371,a2)+~P9(f3(a2),f7(x7371,x7372,a2),a2) % 0.96/1.05 [444]~P5(x4441)+E(f51(f51(f4(x4441),x4442),f3(x4441)),x4442) % 0.96/1.05 [445]~P37(x4451)+E(f51(f51(f4(x4451),x4452),f3(x4451)),x4452) % 0.96/1.05 [446]~P23(x4461)+E(f51(f51(f4(x4461),x4462),f3(x4461)),x4462) % 0.96/1.05 [448]~P25(x4482)+E(f5(x4481,f3(x4482),x4482),x4481) % 0.96/1.05 [449]~P37(x4492)+E(f7(x4491,f3(x4492),x4492),f3(x4492)) % 0.96/1.05 [450]~P44(x4502)+E(f7(x4501,f3(x4502),x4502),f3(x4502)) % 0.96/1.05 [451]~P52(x4512)+E(f7(x4511,f3(x4512),x4512),f3(x4512)) % 0.96/1.05 [453]~P37(x4531)+E(f7(f3(x4531),x4532,x4531),f3(x4531)) % 0.96/1.05 [454]~P44(x4541)+E(f7(f3(x4541),x4542,x4541),f3(x4541)) % 0.96/1.05 [455]~P52(x4551)+E(f7(f3(x4551),x4552,x4551),f3(x4551)) % 0.96/1.05 [484]~P8(x4841)+P8(f51(f51(a11,x4841),f9(x4842))) % 0.96/1.05 [496]P58(f51(x4961,x4962))+~P58(f51(x4961,f36(x4961))) % 0.96/1.05 [502]E(x5021,f32(f3(a2)))+~E(f7(x5022,x5021,a2),f32(f3(a2))) % 0.96/1.05 [503]E(x5031,f32(f3(a2)))+~E(f7(x5031,x5032,a2),f32(f3(a2))) % 0.96/1.05 [508]~P9(x5081,x5082,a2)+E(f19(f9(x5081),x5082),f9(x5081)) % 0.96/1.05 [656]P9(x6562,x6561,a2)+E(f51(f51(f4(a2),x6561),f5(x6562,x6561,a2)),x6562) % 0.96/1.05 [690]~P13(x6901,x6902,a2)+E(f51(f51(f4(a2),x6901),f5(x6902,x6901,a2)),x6902) % 0.96/1.05 [695]~P13(x6952,x6951,a2)+E(f5(x6951,f5(x6951,x6952,a2),a2),x6952) % 0.96/1.05 [698]~P13(x6982,x6981,a2)+E(f32(f5(x6981,x6982,a2)),f5(f32(x6981),x6982,a2)) % 0.96/1.05 [716]~P9(f3(a2),x7161,a2)+P9(f5(x7161,f32(x7162),a2),x7161,a2) % 0.96/1.05 [785]P13(f32(f3(a2)),x7851,a2)+~P13(f32(f3(a2)),f7(x7852,x7851,a2),a2) % 0.96/1.05 [786]P13(f32(f3(a2)),x7861,a2)+~P13(f32(f3(a2)),f7(x7861,x7862,a2),a2) % 0.96/1.05 [1026]~P23(x10261)+E(f23(f4(x10261),x10262,f3(x10261),x10261,x10261),f25(x10262,x10261)) % 0.96/1.05 [1027]~P23(x10271)+E(f22(f4(x10271),f3(x10271),x10272,x10271,x10271),f25(x10272,x10271)) % 0.96/1.05 [1053]~P23(x10531)+E(f23(f4(x10531),x10532,f3(x10531),x10531,x10531),f22(f4(x10531),f3(x10531),x10532,x10531,x10531)) % 0.96/1.05 [456]~P5(x4561)+E(f51(f51(f4(x4561),f3(x4561)),x4562),x4562) % 0.96/1.05 [458]~P37(x4581)+E(f51(f51(f4(x4581),f3(x4581)),x4582),x4582) % 0.96/1.06 [459]~P23(x4591)+E(f51(f51(f4(x4591),f3(x4591)),x4592),x4592) % 0.96/1.06 [463]E(x4631,f3(a2))+~E(f51(f51(f4(a2),x4632),x4631),x4632) % 0.96/1.06 [464]E(x4641,f3(a2))+~E(f51(f51(f4(a2),x4642),x4641),f3(a2)) % 0.96/1.06 [465]E(x4651,f3(a2))+~E(f51(f51(f4(a2),x4651),x4652),f3(a2)) % 0.96/1.06 [791]~P13(x7912,x7911,a2)+E(f51(f51(f4(a2),f5(x7911,x7912,a2)),x7912),x7911) % 0.96/1.06 [469]E(x4691,x4692)+~P14(x4691,x4692,x4693) % 0.96/1.06 [470]~P12(x4701,x4703)+P12(f19(x4701,x4702),f19(x4703,x4702)) % 0.96/1.06 [476]~E(f17(x4763,x4761,x4762),x4763)+E(x4761,f20(x4762)) % 0.96/1.06 [477]~E(f17(x4771,x4773,x4772),x4773)+E(x4771,f20(x4772)) % 0.96/1.06 [486]~E(f24(x4861,x4862,x4863),f20(x4863))+E(x4861,f3(a2)) % 0.96/1.06 [494]~E(f17(x4943,x4941,x4942),f20(x4942))+E(x4941,f20(x4942)) % 0.96/1.06 [495]~E(f17(x4951,x4953,x4952),f20(x4952))+E(x4951,f20(x4952)) % 0.96/1.06 [515]~P11(x5151,f9(x5152),x5153)+E(f51(x5151,x5152),x5153) % 0.96/1.06 [524]~P37(x5243)+E(f7(x5241,x5242,x5243),f7(x5242,x5241,x5243)) % 0.96/1.06 [525]~P3(x5253)+E(f31(x5251,x5252,x5253),f31(x5252,x5251,x5253)) % 0.96/1.06 [526]~P3(x5263)+E(f30(x5261,x5262,x5263),f30(x5262,x5261,x5263)) % 0.96/1.06 [604]~P3(x6043)+P13(x6041,f30(x6042,x6041,x6043),x6043) % 0.96/1.06 [605]~P3(x6053)+P13(x6051,f30(x6051,x6052,x6053),x6053) % 0.96/1.06 [606]~P3(x6063)+P13(f31(x6061,x6062,x6063),x6062,x6063) % 0.96/1.06 [607]~P3(x6073)+P13(f31(x6071,x6072,x6073),x6071,x6073) % 0.96/1.06 [693]~P9(x6931,x6933,a2)+P9(f5(x6931,x6932,a2),x6933,a2) % 0.96/1.06 [755]P13(f7(x7552,x7551,a2),f7(x7553,x7551,a2),a2)+P9(f3(a2),x7551,a2) % 0.96/1.06 [756]P13(f7(x7561,x7562,a2),f7(x7561,x7563,a2),a2)+P9(f3(a2),x7561,a2) % 0.96/1.06 [802]~P13(x8021,x8023,a2)+P13(f7(x8021,x8022,a2),f7(x8023,x8022,a2),a2) % 0.96/1.06 [804]~P13(x8042,x8043,a2)+P13(f7(x8041,x8042,a2),f7(x8041,x8043,a2),a2) % 0.96/1.06 [805]~P13(x8051,x8053,a2)+P13(f5(x8051,x8052,a2),f5(x8053,x8052,a2),a2) % 0.96/1.06 [806]~P13(x8063,x8062,a2)+P13(f5(x8061,x8062,a2),f5(x8061,x8063,a2),a2) % 0.96/1.06 [932]P9(x9321,x9322,a2)+~P9(f7(x9323,x9321,a2),f7(x9323,x9322,a2),a2) % 0.96/1.06 [933]P9(x9331,x9332,a2)+~P9(f7(x9331,x9333,a2),f7(x9332,x9333,a2),a2) % 0.96/1.06 [934]~P9(f7(x9342,x9341,a2),f7(x9343,x9341,a2),a2)+P9(f3(a2),x9341,a2) % 0.96/1.06 [935]~P9(f7(x9351,x9352,a2),f7(x9351,x9353,a2),a2)+P9(f3(a2),x9351,a2) % 0.96/1.06 [1042]E(x10421,f10(x10422))+~E(f22(a11,x10421,x10423,a50,a50),f10(x10422)) % 0.96/1.06 [1043]E(f10(x10431),x10432)+~E(f10(x10431),f22(a11,x10432,x10433,a50,a50)) % 0.96/1.06 [1044]E(f9(x10441),x10442)+~E(f9(x10441),f22(a11,x10442,x10443,a50,a50)) % 0.96/1.06 [1074]E(x10741,x10742)+~E(f22(a11,x10741,x10743,a50,a50),f22(a11,x10742,x10743,a50,a50)) % 0.96/1.06 [1083]~P12(x10831,x10833)+P12(f22(a11,x10831,x10832,a50,a50),f22(a11,x10833,x10832,a50,a50)) % 0.96/1.06 [546]~P8(x5461)+P8(f18(x5461,f9(x5462),x5463)) % 0.96/1.06 [575]~P9(x5751,x5753,a2)+E(f18(f9(x5751),x5752,x5753),f9(x5751)) % 0.96/1.06 [608]~P3(x6083)+E(f31(x6081,f30(x6081,x6082,x6083),x6083),x6081) % 0.96/1.06 [609]~P3(x6093)+E(f30(x6091,f31(x6091,x6092,x6093),x6093),x6091) % 0.96/1.06 [636]~P12(x6361,x6363)+P12(f51(f51(a11,x6361),x6362),f51(f51(a11,x6363),x6362)) % 0.96/1.06 [637]~P12(x6372,x6373)+P12(f51(f51(a11,x6371),x6372),f51(f51(a11,x6371),x6373)) % 0.96/1.06 [646]E(x6461,x6462)+~E(f7(f32(x6463),x6461,a2),f7(f32(x6463),x6462,a2)) % 0.96/1.06 [657]~P23(x6571)+E(f51(f51(f4(x6571),x6572),f25(x6573,x6571)),f25(f21(x6572,x6573,x6571),x6571)) % 0.96/1.06 [661]~P20(x6613)+E(f7(x6611,f7(x6611,x6612,x6613),x6613),f7(x6611,x6612,x6613)) % 0.96/1.06 [662]~P3(x6623)+E(f31(x6621,f31(x6621,x6622,x6623),x6623),f31(x6621,x6622,x6623)) % 0.96/1.06 [663]~P3(x6633)+E(f30(x6631,f30(x6631,x6632,x6633),x6633),f30(x6631,x6632,x6633)) % 0.96/1.06 [675]~P2(x6753)+E(f7(x6751,f33(x6751,x6752,x6753),x6753),f33(x6751,f32(x6752),x6753)) % 0.96/1.06 [678]~P22(x6783)+E(f7(f33(x6781,x6782,x6783),x6781,x6783),f33(x6781,f32(x6782),x6783)) % 0.96/1.06 [679]~P37(x6793)+E(f7(x6791,f33(x6791,x6792,x6793),x6793),f33(x6791,f32(x6792),x6793)) % 0.96/1.06 [680]~P37(x6803)+E(f7(f33(x6801,x6802,x6803),x6801,x6803),f33(x6801,f32(x6802),x6803)) % 0.96/1.06 [681]~P56(x6812)+E(f7(f27(x6811,x6812),f27(x6813,x6812),x6812),f27(f7(x6811,x6813,a2),x6812)) % 0.96/1.06 [717]~P23(x7171)+E(f51(f51(f4(x7171),f25(x7172,x7171)),f25(x7173,x7171)),f25(f17(x7172,x7173,x7171),x7171)) % 0.96/1.06 [781]~P22(x7813)+E(f7(f33(x7811,x7812,x7813),x7811,x7813),f7(x7811,f33(x7811,x7812,x7813),x7813)) % 0.96/1.06 [848]~P9(x8482,x8483,a2)+P9(f7(f32(x8481),x8482,a2),f7(f32(x8481),x8483,a2),a2) % 0.96/1.06 [910]~P11(x9102,f10(x9103),x9101)+E(f51(f51(a48,f41(x9101,x9102,x9103)),f43(x9101,x9102,x9103)),x9101) % 0.96/1.06 [951]P13(x9511,x9512,a2)+~P13(f7(f32(x9513),x9511,a2),f7(f32(x9513),x9512,a2),a2) % 0.96/1.06 [1004]~P11(x10041,f10(x10042),x10043)+P11(f35(x10041,f3(a2),f37(x10041,x10042),a53),x10042,f38(x10041,x10042)) % 0.96/1.06 [1009]~P46(x10091)+P13(f3(x10091),f51(f51(f4(x10091),f7(x10092,x10092,x10091)),f7(x10093,x10093,x10091)),x10091) % 0.96/1.06 [1015]~P11(x10151,f10(x10153),x10152)+P11(f35(x10151,f3(a2),f41(x10152,x10151,x10153),a53),x10153,f43(x10152,x10151,x10153)) % 0.96/1.06 [1028]~P46(x10281)+~P9(f51(f51(f4(x10281),f7(x10282,x10282,x10281)),f7(x10283,x10283,x10281)),f3(x10281),x10281) % 0.96/1.06 [1052]~P6(x10521)+E(f23(f4(x10521),x10522,x10523,x10521,x10521),f22(f4(x10521),x10523,x10522,x10521,x10521)) % 0.96/1.06 [516]~P5(x5161)+E(f51(f51(f4(x5161),x5162),x5163),f51(f51(f4(x5161),x5163),x5162)) % 0.96/1.06 [518]~P37(x5181)+E(f51(f51(f4(x5181),x5182),x5183),f51(f51(f4(x5181),x5183),x5182)) % 0.96/1.06 [571]E(x5711,x5712)+~E(f51(f51(f4(a2),x5713),x5711),f51(f51(f4(a2),x5713),x5712)) % 0.96/1.06 [572]E(x5721,x5722)+~E(f51(f51(f4(a2),x5721),x5723),f51(f51(f4(a2),x5722),x5723)) % 0.96/1.06 [665]~P9(x6651,x6653,a2)+P9(x6651,f51(f51(f4(a2),x6652),x6653),a2) % 0.96/1.06 [667]~P9(x6671,x6672,a2)+P9(x6671,f51(f51(f4(a2),x6672),x6673),a2) % 0.96/1.06 [669]~P13(x6691,x6693,a2)+P13(x6691,f51(f51(f4(a2),x6692),x6693),a2) % 0.96/1.06 [671]~P13(x6711,x6712,a2)+P13(x6711,f51(f51(f4(a2),x6712),x6713),a2) % 0.96/1.06 [728]~P25(x7281)+E(f51(f51(f4(x7281),f5(x7282,x7283,x7281)),x7283),x7282) % 0.96/1.06 [729]P9(x7291,x7292,a2)+~P9(f51(f51(f4(a2),x7291),x7293),x7292,a2) % 0.96/1.06 [730]P13(x7301,x7302,a2)+~P13(f51(f51(f4(a2),x7303),x7301),x7302,a2) % 0.96/1.06 [731]P13(x7311,x7312,a2)+~P13(f51(f51(f4(a2),x7311),x7313),x7312,a2) % 0.96/1.06 [757]~P9(x7571,x7573,a2)+P9(f51(f51(f4(a2),x7571),x7572),f51(f51(f4(a2),x7573),x7572),a2) % 0.96/1.06 [758]~P9(x7582,x7583,a2)+P9(f51(f51(f4(a2),x7581),x7582),f51(f51(f4(a2),x7581),x7583),a2) % 0.96/1.06 [759]~P13(x7591,x7593,a2)+P13(f51(f51(f4(a2),x7591),x7592),f51(f51(f4(a2),x7593),x7592),a2) % 0.96/1.06 [760]~P13(x7602,x7603,a2)+P13(f51(f51(f4(a2),x7601),x7602),f51(f51(f4(a2),x7601),x7603),a2) % 0.96/1.06 [859]P9(x8591,f5(x8592,x8593,a2),a2)+~P9(f51(f51(f4(a2),x8591),x8593),x8592,a2) % 0.96/1.06 [860]P13(f5(x8601,x8602,a2),x8603,a2)+~P13(x8601,f51(f51(f4(a2),x8603),x8602),a2) % 0.96/1.06 [863]~P13(f5(x8631,x8633,a2),x8632,a2)+P13(x8631,f51(f51(f4(a2),x8632),x8633),a2) % 0.96/1.06 [864]~P9(x8641,f5(x8643,x8642,a2),a2)+P9(f51(f51(f4(a2),x8641),x8642),x8643,a2) % 0.96/1.06 [884]P9(x8841,x8842,a2)+~P9(f51(f51(f4(a2),x8843),x8841),f51(f51(f4(a2),x8843),x8842),a2) % 0.96/1.06 [885]P13(x8851,x8852,a2)+~P13(f51(f51(f4(a2),x8853),x8851),f51(f51(f4(a2),x8853),x8852),a2) % 0.96/1.06 [948]~P13(x9482,x9483,a2)+E(f5(f51(f51(f4(a2),x9481),x9482),f32(x9483),a2),f5(x9481,f32(f5(x9483,x9482,a2)),a2)) % 0.96/1.06 [1037]P58(f51(x10371,x10372))+~P58(f51(x10371,f26(x10372,x10373,f3(a2),a52))) % 0.96/1.06 [1072]~P23(x10721)+E(f51(f51(f4(x10721),x10722),f23(f4(x10721),x10723,f3(x10721),x10721,x10721)),f22(f4(x10721),x10722,x10723,x10721,x10721)) % 0.96/1.06 [1073]~P23(x10731)+E(f51(f51(f4(x10731),x10732),f22(f4(x10731),f3(x10731),x10733,x10731,x10731)),f22(f4(x10731),x10732,x10733,x10731,x10731)) % 0.96/1.06 [603]~P25(x6031)+E(f5(f51(f51(f4(x6031),x6032),x6033),x6033,x6031),x6032) % 0.96/1.06 [694]~P56(x6941)+E(f51(f51(f4(x6941),f27(x6942,x6941)),f27(x6943,x6941)),f27(f51(f51(f4(a2),x6942),x6943),x6941)) % 0.96/1.06 [858]~P13(x8583,x8582,a2)+E(f5(f51(f51(f4(a2),x8581),x8582),x8583,a2),f51(f51(f4(a2),x8581),f5(x8582,x8583,a2))) % 0.96/1.06 [861]~P13(x8612,x8613,a2)+E(f5(f51(f51(f4(a2),x8611),x8612),x8613,a2),f5(x8611,f5(x8613,x8612,a2),a2)) % 0.96/1.06 [886]~P13(x8863,x8862,a2)+P13(x8861,f5(f51(f51(f4(a2),x8862),x8861),x8863,a2),a2) % 0.96/1.06 [944]~P13(x9443,x9441,a2)+E(f5(f51(f51(f4(a2),x9441),x9442),x9443,a2),f51(f51(f4(a2),f5(x9441,x9443,a2)),x9442)) % 0.96/1.06 [949]~P13(x9492,x9491,a2)+E(f5(f32(x9491),f51(f51(f4(a2),x9492),x9493),a2),f5(f32(f5(x9491,x9492,a2)),x9493,a2)) % 0.96/1.06 [1017]P58(f51(x10171,x10172))+~P58(f51(x10171,f5(f51(f51(f4(a2),x10173),x10172),x10173,a2))) % 0.96/1.06 [615]E(x6151,x6152)+~E(f17(x6153,x6151,x6154),f17(x6153,x6152,x6154)) % 0.96/1.06 [616]E(x6161,x6162)+~E(f17(x6161,x6163,x6164),f17(x6162,x6163,x6164)) % 0.96/1.06 [697]~P12(x6971,x6974)+P12(f18(x6971,x6972,x6973),f18(x6974,x6972,x6973)) % 0.96/1.06 [1080]P15(x10801,x10802,f39(x10803,x10801,x10804,x10802))+~P11(x10801,f22(a11,x10804,x10802,a50,a50),x10803) % 0.96/1.06 [1081]P15(x10811,x10812,f40(x10813,x10811,x10814,x10812))+~P11(x10811,f22(a11,x10814,x10812,a50,a50),x10813) % 0.96/1.06 [532]E(x5321,x5322)+~E(f51(f51(a11,x5323),x5321),f51(f51(a11,x5324),x5322)) % 0.96/1.06 [533]E(x5331,x5332)+~E(f51(f51(a48,x5333),x5331),f51(f51(a48,x5334),x5332)) % 0.96/1.06 [534]E(x5341,x5342)+~E(f51(f51(a11,x5341),x5343),f51(f51(a11,x5342),x5344)) % 0.96/1.06 [535]E(x5351,x5352)+~E(f51(f51(a48,x5351),x5353),f51(f51(a48,x5352),x5354)) % 0.96/1.06 [772]~P37(x7723)+E(f33(f33(x7721,x7722,x7723),x7724,x7723),f33(x7721,f7(x7722,x7724,a2),x7723)) % 0.96/1.06 [773]~P22(x7733)+E(f33(f33(x7731,x7732,x7733),x7734,x7733),f33(x7731,f7(x7732,x7734,a2),x7733)) % 0.96/1.06 [774]~P37(x7744)+E(f7(x7741,f7(x7742,x7743,x7744),x7744),f7(x7742,f7(x7741,x7743,x7744),x7744)) % 0.96/1.06 [775]~P3(x7754)+E(f31(x7751,f31(x7752,x7753,x7754),x7754),f31(x7752,f31(x7751,x7753,x7754),x7754)) % 0.96/1.06 [776]~P3(x7764)+E(f30(x7761,f30(x7762,x7763,x7764),x7764),f30(x7762,f30(x7761,x7763,x7764),x7764)) % 0.96/1.06 [779]~P37(x7793)+E(f7(f7(x7791,x7792,x7793),x7794,x7793),f7(x7791,f7(x7792,x7794,x7793),x7793)) % 0.96/1.06 [780]~P19(x7803)+E(f7(f7(x7801,x7802,x7803),x7804,x7803),f7(x7801,f7(x7802,x7804,x7803),x7803)) % 0.96/1.06 [782]~P3(x7823)+E(f31(f31(x7821,x7822,x7823),x7824,x7823),f31(x7821,f31(x7822,x7824,x7823),x7823)) % 0.96/1.06 [783]~P3(x7833)+E(f30(f30(x7831,x7832,x7833),x7834,x7833),f30(x7831,f30(x7832,x7834,x7833),x7833)) % 0.96/1.06 [784]~P37(x7843)+E(f7(f7(x7841,x7842,x7843),x7844,x7843),f7(f7(x7841,x7844,x7843),x7842,x7843)) % 0.96/1.06 [898]~P3(x8983)+E(f30(f31(x8981,x8982,x8983),f31(x8981,x8984,x8983),x8983),f31(x8981,f30(x8982,x8984,x8983),x8983)) % 0.96/1.06 [899]~P3(x8993)+E(f31(f30(x8991,x8992,x8993),f30(x8991,x8994,x8993),x8993),f30(x8991,f31(x8992,x8994,x8993),x8993)) % 0.96/1.06 [900]~P28(x9003)+E(f31(f5(x9001,x9002,x9003),f5(x9004,x9002,x9003),x9003),f5(f31(x9001,x9004,x9003),x9002,x9003)) % 0.96/1.06 [901]~P28(x9013)+E(f30(f5(x9011,x9012,x9013),f5(x9014,x9012,x9013),x9013),f5(f30(x9011,x9014,x9013),x9012,x9013)) % 0.96/1.06 [902]~P37(x9023)+E(f7(f33(x9021,x9022,x9023),f33(x9024,x9022,x9023),x9023),f33(f7(x9021,x9024,x9023),x9022,x9023)) % 0.96/1.06 [903]~P24(x9033)+E(f7(f33(x9031,x9032,x9033),f33(x9034,x9032,x9033),x9033),f33(f7(x9031,x9034,x9033),x9032,x9033)) % 0.96/1.06 [904]~P3(x9043)+E(f30(f31(x9041,x9042,x9043),f31(x9044,x9042,x9043),x9043),f31(f30(x9041,x9044,x9043),x9042,x9043)) % 0.96/1.06 [905]~P3(x9053)+E(f31(f30(x9051,x9052,x9053),f30(x9054,x9052,x9053),x9053),f30(f31(x9051,x9054,x9053),x9052,x9053)) % 0.96/1.06 [1006]P11(x10061,x10062,f42(x10063,x10061,x10064,x10062))+~P11(x10061,f51(f51(a11,x10064),x10062),x10063) % 0.96/1.06 [1012]~P3(x10124)+P13(f30(x10121,f31(x10122,x10123,x10124),x10124),f31(f30(x10121,x10122,x10124),f30(x10121,x10123,x10124),x10124),x10124) % 0.96/1.06 [1013]~P3(x10133)+P13(f30(f31(x10131,x10132,x10133),f31(x10131,x10134,x10133),x10133),f31(x10131,f30(x10132,x10134,x10133),x10133),x10133) % 0.96/1.06 [1018]P11(x10181,f10(x10182),f51(f51(a48,x10183),x10184))+~P11(f35(x10181,f3(a2),x10183,a53),x10182,x10184) % 0.96/1.06 [1076]E(x10761,x10762)+~E(f22(a11,f10(x10763),x10761,a50,a50),f22(a11,f10(x10764),x10762,a50,a50)) % 0.96/1.06 [1077]E(x10771,x10772)+~E(f22(a11,f9(x10773),x10771,a50,a50),f22(a11,f9(x10774),x10772,a50,a50)) % 0.96/1.06 [1078]E(x10781,x10782)+~E(f22(a11,f10(x10781),x10783,a50,a50),f22(a11,f10(x10782),x10784,a50,a50)) % 0.96/1.06 [1079]E(x10791,x10792)+~E(f22(a11,f9(x10791),x10793,a50,a50),f22(a11,f9(x10792),x10794,a50,a50)) % 0.96/1.06 [1082]P15(x10821,x10822,f44(x10823,x10821,x10824,x10822))+~P11(x10821,f22(a11,f9(x10824),x10822,a50,a50),x10823) % 0.96/1.06 [1086]~P11(x10861,f22(a11,x10862,x10864,a50,a50),x10863)+P11(x10861,x10862,f23(a48,f39(x10863,x10861,x10862,x10864),x10863,a53,a53)) % 0.96/1.06 [1087]~P11(x10871,f22(a11,x10872,x10874,a50,a50),x10873)+P11(x10871,x10872,f23(a48,f40(x10873,x10871,x10872,x10874),x10873,a53,a53)) % 0.96/1.06 [1088]~P11(x10881,f22(a11,f9(x10882),x10884,a50,a50),x10883)+P11(x10881,f9(x10882),f23(a48,f44(x10883,x10881,x10882,x10884),x10883,a53,a53)) % 0.96/1.06 [1039]P58(f51(x10391,f51(x10392,x10393)))+~P58(f51(x10391,f26(x10394,x10392,f32(x10393),a52))) % 0.96/1.06 [1041]P58(f51(x10411,f51(x10412,x10413)))+~P58(f51(x10411,f47(x10412,x10414,f34(x10413),a52))) % 0.96/1.06 [1051]~P11(x10511,f51(f51(a11,x10512),x10514),x10513)+P11(x10511,x10512,f51(f51(a48,f42(x10513,x10511,x10512,x10514)),x10513)) % 0.96/1.06 [740]~P5(x7401)+E(f51(f51(f4(x7401),x7402),f51(f51(f4(x7401),x7403),x7404)),f51(f51(f4(x7401),x7403),f51(f51(f4(x7401),x7402),x7404))) % 0.96/1.06 [741]~P37(x7411)+E(f51(f51(f4(x7411),x7412),f51(f51(f4(x7411),x7413),x7414)),f51(f51(f4(x7411),x7413),f51(f51(f4(x7411),x7412),x7414))) % 0.96/1.06 [742]~P17(x7421)+E(f51(f51(f4(x7421),x7422),f51(f51(f4(x7421),x7423),x7424)),f51(f51(f4(x7421),x7423),f51(f51(f4(x7421),x7422),x7424))) % 0.96/1.06 [882]~P37(x8823)+E(f7(f33(x8821,x8822,x8823),f33(x8821,x8824,x8823),x8823),f33(x8821,f51(f51(f4(a2),x8822),x8824),x8823)) % 0.96/1.06 [883]~P22(x8833)+E(f7(f33(x8831,x8832,x8833),f33(x8831,x8834,x8833),x8833),f33(x8831,f51(f51(f4(a2),x8832),x8834),x8833)) % 0.96/1.06 [956]~P4(x9561)+E(f31(f51(f51(f4(x9561),x9562),x9563),f51(f51(f4(x9561),x9564),x9563),x9561),f51(f51(f4(x9561),f31(x9562,x9564,x9561)),x9563)) % 0.96/1.06 [957]~P4(x9571)+E(f30(f51(f51(f4(x9571),x9572),x9573),f51(f51(f4(x9571),x9574),x9573),x9571),f51(f51(f4(x9571),f30(x9572,x9574,x9571)),x9573)) % 0.96/1.06 [958]~P37(x9581)+E(f51(f51(f4(x9581),f7(x9582,x9583,x9581)),f7(x9582,x9584,x9581)),f7(x9582,f51(f51(f4(x9581),x9583),x9584),x9581)) % 0.96/1.06 [960]~P38(x9601)+E(f51(f51(f4(x9601),f7(x9602,x9603,x9601)),f7(x9604,x9603,x9601)),f7(f51(f51(f4(x9601),x9602),x9604),x9603,x9601)) % 0.96/1.06 [961]~P37(x9611)+E(f51(f51(f4(x9611),f7(x9612,x9613,x9611)),f7(x9614,x9613,x9611)),f7(f51(f51(f4(x9611),x9612),x9614),x9613,x9611)) % 0.96/1.06 [1075]~P32(x10751)+E(f22(f4(x10751),f51(f51(f4(x10751),x10752),x10753),x10754,x10751,x10751),f51(f51(f4(x10751),x10752),f22(f4(x10751),x10753,x10754,x10751,x10751))) % 0.96/1.06 [879]~P5(x8791)+E(f51(f51(f4(x8791),f51(f51(f4(x8791),x8792),x8793)),x8794),f51(f51(f4(x8791),x8792),f51(f51(f4(x8791),x8793),x8794))) % 0.96/1.06 [880]~P37(x8801)+E(f51(f51(f4(x8801),f51(f51(f4(x8801),x8802),x8803)),x8804),f51(f51(f4(x8801),x8802),f51(f51(f4(x8801),x8803),x8804))) % 0.96/1.06 [881]~P6(x8811)+E(f51(f51(f4(x8811),f51(f51(f4(x8811),x8812),x8813)),x8814),f51(f51(f4(x8811),x8812),f51(f51(f4(x8811),x8813),x8814))) % 0.96/1.06 [954]~P37(x9541)+E(f51(f51(f4(x9541),f51(f51(f4(x9541),x9542),x9543)),x9544),f51(f51(f4(x9541),f51(f51(f4(x9541),x9542),x9544)),x9543)) % 0.96/1.06 [1048]~P13(x10481,x10483,a2)+E(f51(f51(f4(a2),f7(x10481,x10482,a2)),f51(f51(f4(a2),f7(f5(x10483,x10481,a2),x10482,a2)),x10484)),f51(f51(f4(a2),f7(x10483,x10482,a2)),x10484)) % 0.96/1.06 [614]E(x6141,x6142)+~E(f21(x6143,x6141,x6144),f21(x6145,x6142,x6144)) % 0.96/1.06 [617]E(x6171,x6172)+~E(f24(x6171,x6173,x6174),f24(x6172,x6175,x6174)) % 0.96/1.06 [618]E(x6181,x6182)+~E(f21(x6181,x6183,x6184),f21(x6182,x6185,x6184)) % 0.96/1.06 [1003]~P11(x10031,x10034,x10035)+P11(f35(x10031,x10032,x10033,a53),f19(x10034,x10032),x10035) % 0.96/1.06 [964]~P37(x9643)+E(f7(f7(x9641,x9642,x9643),f7(x9644,x9645,x9643),x9643),f7(f7(x9641,x9644,x9643),f7(x9642,x9645,x9643),x9643)) % 0.96/1.06 [991]~P9(x9915,x9912,a2)+E(f51(f35(x9911,x9912,x9913,x9914),x9915),f51(x9911,x9915)) % 0.96/1.06 [970]E(x9701,x9702)+~E(f17(x9703,f21(x9701,f20(x9704),x9704),x9704),f17(x9705,f21(x9702,f20(x9704),x9704),x9704)) % 0.96/1.06 [971]E(x9711,x9712)+~E(f17(x9711,f21(x9713,f20(x9714),x9714),x9714),f17(x9712,f21(x9715,f20(x9714),x9714),x9714)) % 0.96/1.06 [1090]P58(f51(x10901,f51(x10902,x10903)))+~P58(f51(x10901,f13(x10904,x10905,x10902,f10(x10903),a52))) % 0.96/1.06 [1092]P58(f51(x10921,f51(x10922,x10923)))+~P58(f51(x10921,f13(x10922,x10924,x10925,f9(x10923),a52))) % 0.96/1.06 [1005]~P37(x10051)+E(f51(f51(f4(x10051),f51(f51(f4(x10051),x10052),x10053)),f51(f51(f4(x10051),x10054),x10055)),f51(f51(f4(x10051),f51(f51(f4(x10051),x10052),x10054)),f51(f51(f4(x10051),x10053),x10055))) % 0.96/1.06 [1050]P58(f51(x10501,f51(f51(x10502,x10503),x10504)))+~P58(f51(x10501,f47(x10505,x10502,f51(f51(a48,x10503),x10504),a52))) % 0.96/1.06 [1046]~P55(x10461)+E(f51(f51(f4(x10461),f7(x10462,x10463,x10461)),f51(f51(f4(x10461),f7(f5(x10464,x10462,x10461),x10463,x10461)),x10465)),f51(f51(f4(x10461),f7(x10464,x10463,x10461)),x10465)) % 0.96/1.06 [1054]~P13(x10541,x10544,a2)+E(f5(f51(f51(f4(a2),f7(x10541,x10542,a2)),x10543),f51(f51(f4(a2),f7(x10544,x10542,a2)),x10545),a2),f5(x10543,f51(f51(f4(a2),f7(f5(x10544,x10541,a2),x10542,a2)),x10545),a2)) % 0.96/1.06 [1055]~P13(x10554,x10551,a2)+E(f5(f51(f51(f4(a2),f7(x10551,x10552,a2)),x10553),f51(f51(f4(a2),f7(x10554,x10552,a2)),x10555),a2),f5(f51(f51(f4(a2),f7(f5(x10551,x10554,a2),x10552,a2)),x10553),x10555,a2)) % 0.96/1.06 [1031]~P48(x10311)+E(f51(f51(f4(x10311),f7(x10312,x10313,x10311)),f51(f51(f4(x10311),f7(x10314,x10313,x10311)),x10315)),f51(f51(f4(x10311),f7(f51(f51(f4(x10311),x10312),x10314),x10313,x10311)),x10315)) % 0.96/1.06 [1095]P58(f51(x10951,f51(f51(x10952,x10953),x10954)))+~P58(f51(x10951,f13(x10955,x10952,x10956,f51(f51(a11,x10953),x10954),a52))) % 0.96/1.06 [1097]~P10(x10974,x10971,x10975,x10976,x10972,x10977)+E(f51(f51(x10971,x10972),x10973),x10973) % 0.96/1.06 [1098]~P10(x10984,x10981,x10985,x10983,x10986,x10987)+E(f51(f51(x10981,x10982),x10983),x10983) % 0.96/1.06 [1100]~P10(x11001,x11004,x11005,x11002,x11006,x11007)+E(f51(f51(x11001,x11002),x11003),x11003) % 0.96/1.06 [1101]~P10(x11014,x11011,x11015,x11016,x11013,x11017)+E(f51(f51(x11011,x11012),x11013),x11012) % 0.96/1.06 [1103]~P10(x11034,x11031,x11035,x11032,x11036,x11037)+E(f51(f51(x11031,x11032),x11033),x11032) % 0.96/1.06 [1104]~P10(x11041,x11044,x11045,x11043,x11046,x11047)+E(f51(f51(x11041,x11042),x11043),x11042) % 0.96/1.06 [1105]~P10(x11054,x11055,x11051,x11056,x11053,x11057)+E(f51(f51(x11051,x11052),f3(a2)),x11053) % 0.96/1.06 [1113]~P10(x11131,x11133,x11135,x11136,x11134,x11137)+E(f51(f51(x11131,x11132),x11132),f51(f51(x11133,f51(f51(x11131,x11134),x11134)),x11132)) % 0.96/1.06 [1107]~P10(x11074,x11071,x11075,x11076,x11077,x11078)+E(f51(f51(x11071,x11072),x11073),f51(f51(x11071,x11073),x11072)) % 0.96/1.06 [1109]~P10(x11091,x11094,x11095,x11096,x11097,x11098)+E(f51(f51(x11091,x11092),x11093),f51(f51(x11091,x11093),x11092)) % 0.96/1.06 [1112]~P10(x11125,x11121,x11123,x11126,x11127,x11128)+E(f51(f51(x11121,x11122),f51(f51(x11123,x11122),x11124)),f51(f51(x11123,x11122),f32(x11124))) % 0.96/1.06 [1116]~P10(x11165,x11161,x11162,x11166,x11167,x11168)+E(f51(f51(x11161,f51(f51(x11162,x11163),x11164)),x11163),f51(f51(x11162,x11163),f32(x11164))) % 0.96/1.06 [1117]~P10(x11171,x11173,x11176,x11177,x11175,x11178)+E(f51(f51(x11171,x11172),f51(f51(x11173,x11174),x11172)),f51(f51(x11173,f51(f51(x11171,x11174),x11175)),x11172)) % 0.96/1.06 [1125]~P10(x11251,x11252,x11256,x11257,x11255,x11258)+E(f51(f51(x11251,f51(f51(x11252,x11253),x11254)),x11254),f51(f51(x11252,f51(f51(x11251,x11253),x11255)),x11254)) % 0.96/1.06 [1114]~P10(x11145,x11141,x11146,x11147,x11148,x11149)+E(f51(f51(x11141,x11142),f51(f51(x11141,x11143),x11144)),f51(f51(x11141,x11143),f51(f51(x11141,x11142),x11144))) % 0.96/1.06 [1115]~P10(x11151,x11155,x11156,x11157,x11158,x11159)+E(f51(f51(x11151,x11152),f51(f51(x11151,x11153),x11154)),f51(f51(x11151,x11153),f51(f51(x11151,x11152),x11154))) % 0.96/1.06 [1128]~P10(x11281,x11282,x11286,x11287,x11288,x11289)+E(f51(f51(x11281,f51(f51(x11282,x11283),x11284)),f51(f51(x11282,x11283),x11285)),f51(f51(x11282,x11283),f51(f51(x11281,x11284),x11285))) % 0.96/1.06 [1122]~P10(x11225,x11221,x11226,x11227,x11228,x11229)+E(f51(f51(x11221,f51(f51(x11221,x11222),x11223)),x11224),f51(f51(x11221,x11222),f51(f51(x11221,x11223),x11224))) % 0.96/1.06 [1123]~P10(x11231,x11235,x11236,x11237,x11238,x11239)+E(f51(f51(x11231,f51(f51(x11231,x11232),x11233)),x11234),f51(f51(x11231,x11232),f51(f51(x11231,x11233),x11234))) % 0.96/1.06 [1124]~P10(x11245,x11246,x11241,x11247,x11248,x11249)+E(f51(f51(x11241,f51(f51(x11241,x11242),x11243)),x11244),f51(f51(x11241,x11242),f7(x11243,x11244,a2))) % 0.96/1.06 [1126]~P10(x11265,x11261,x11266,x11267,x11268,x11269)+E(f51(f51(x11261,f51(f51(x11261,x11262),x11263)),x11264),f51(f51(x11261,f51(f51(x11261,x11262),x11264)),x11263)) % 0.96/1.06 [1127]~P10(x11271,x11275,x11276,x11277,x11278,x11279)+E(f51(f51(x11271,f51(f51(x11271,x11272),x11273)),x11274),f51(f51(x11271,f51(f51(x11271,x11272),x11274)),x11273)) % 0.96/1.06 [1129]~P10(x11296,x11291,x11292,x11297,x11298,x11299)+E(f51(f51(x11291,f51(f51(x11292,x11293),x11294)),f51(f51(x11292,x11293),x11295)),f51(f51(x11292,x11293),f51(f51(f4(a2),x11294),x11295))) % 0.96/1.06 [1130]~P10(x11306,x11301,x11302,x11307,x11308,x11309)+E(f51(f51(x11301,f51(f51(x11302,x11303),x11304)),f51(f51(x11302,x11305),x11304)),f51(f51(x11302,f51(f51(x11301,x11303),x11305)),x11304)) % 0.96/1.06 [1132]~P10(x11321,x11322,x11326,x11327,x11328,x11329)+E(f51(f51(x11321,f51(f51(x11322,x11323),x11324)),f51(f51(x11322,x11325),x11324)),f51(f51(x11322,f51(f51(x11321,x11323),x11325)),x11324)) % 0.96/1.06 [1134]~P10(x11346,x11341,x11347,x11348,x11349,x113410)+E(f51(f51(x11341,f51(f51(x11341,x11342),x11343)),f51(f51(x11341,x11344),x11345)),f51(f51(x11341,f51(f51(x11341,x11342),x11344)),f51(f51(x11341,x11343),x11345))) % 0.96/1.06 [1135]~P10(x11351,x11356,x11357,x11358,x11359,x113510)+E(f51(f51(x11351,f51(f51(x11351,x11352),x11353)),f51(f51(x11351,x11354),x11355)),f51(f51(x11351,f51(f51(x11351,x11352),x11354)),f51(f51(x11351,x11353),x11355))) % 0.96/1.06 [645]~P29(x6451)+~P13(f3(x6451),f3(x6451),x6451)+E(f51(f51(f4(x6451),f3(x6451)),f3(x6451)),f3(x6451)) % 0.96/1.06 [511]E(x5111,x5112)+P9(x5112,x5111,a2)+P9(x5111,x5112,a2) % 0.96/1.06 [556]E(x5561,x5562)+P9(x5561,x5562,a2)+~P13(x5561,x5562,a2) % 0.96/1.06 [610]E(x6101,x6102)+~P13(x6102,x6101,a2)+~P13(x6101,x6102,a2) % 0.96/1.06 [460]~P40(x4602)+~P16(x4602)+E(f5(x4601,x4601,x4602),f3(x4602)) % 0.96/1.06 [483]E(x4831,f3(a2))+E(x4832,f3(a2))+~E(f7(x4832,x4831,a2),f3(a2)) % 0.96/1.06 [576]~P9(x5761,x5762,a2)+E(f32(x5761),x5762)+P9(f32(x5761),x5762,a2) % 0.96/1.06 [577]E(x5771,x5772)+P9(x5772,x5771,a2)+~P9(x5772,f32(x5771),a2) % 0.96/1.06 [579]E(x5791,x5792)+P9(x5791,x5792,a2)+~P9(x5791,f32(x5792),a2) % 0.96/1.06 [598]P13(x5981,x5982,a2)+E(x5981,f32(x5982))+~P13(x5981,f32(x5982),a2) % 0.96/1.06 [623]E(x6231,x6232)+~E(f5(x6232,x6231,a2),f3(a2))+~E(f5(x6231,x6232,a2),f3(a2)) % 0.96/1.06 [627]E(x6271,x6272)+~P13(x6272,x6271,a2)+~P9(x6271,f32(x6272),a2) % 0.96/1.06 [644]~P36(x6441)+P9(f3(x6441),f27(x6442,x6441),x6441)+~P9(f3(a2),x6442,a2) % 0.96/1.06 [654]~P36(x6542)+~P9(f3(x6542),f27(x6541,x6542),x6542)+P9(f3(a2),x6541,a2) % 0.96/1.06 [787]P9(f5(x7871,x7872,a2),x7871,a2)+~P9(f3(a2),x7872,a2)+~P9(f3(a2),x7871,a2) % 0.96/1.06 [789]~P9(f3(a2),x7892,a2)+~P9(f3(a2),x7891,a2)+P9(f3(a2),f7(x7891,x7892,a2),a2) % 0.96/1.06 [461]~P40(x4611)+~P16(x4611)+E(f51(f51(f4(x4611),x4612),f3(x4611)),x4612) % 0.96/1.06 [468]~P1(x4681)+~P2(x4681)+E(f33(f3(x4681),f32(x4682),x4681),f3(x4681)) % 0.96/1.06 [547]P58(f51(x5471,x5472))+P58(f51(x5471,f65(x5471)))+~P58(f51(x5471,f3(a2))) % 0.96/1.06 [548]P58(f51(x5481,x5482))+P58(f51(x5481,f68(x5481)))+~P58(f51(x5481,f3(a2))) % 0.96/1.06 [549]P58(f51(x5491,x5492))+P58(f51(x5491,f66(x5491)))+~P58(f51(x5491,f3(a2))) % 0.96/1.06 [550]P58(f51(x5501,x5502))+P58(f51(x5501,f67(x5501)))+~P58(f51(x5501,f3(a2))) % 0.96/1.06 [589]P9(f3(a2),f6(x5891),a2)+P58(f51(x5891,x5892))+~P58(f51(x5891,f3(a2))) % 0.96/1.06 [599]P58(f51(x5991,x5992))+~P58(f51(x5991,f6(x5991)))+~P58(f51(x5991,f3(a2))) % 0.96/1.06 [828]P9(x8281,f7(x8282,x8281,a2),a2)+~P9(f32(f3(a2)),x8282,a2)+~P9(f32(f3(a2)),x8281,a2) % 0.96/1.06 [829]P9(x8291,f7(x8291,x8292,a2),a2)+~P9(f32(f3(a2)),x8292,a2)+~P9(f32(f3(a2)),x8291,a2) % 0.96/1.06 [855]~P9(f32(f3(a2)),x8552,a2)+~P9(f32(f3(a2)),x8551,a2)+P9(f32(f3(a2)),f7(x8551,x8552,a2),a2) % 0.96/1.06 [856]~P13(f32(f3(a2)),x8562,a2)+~P13(f32(f3(a2)),x8561,a2)+P13(f32(f3(a2)),f7(x8561,x8562,a2),a2) % 0.96/1.06 [472]E(x4721,f3(a2))+E(x4722,f3(a2))+~E(f51(f51(f4(a2),x4722),x4721),f32(f3(a2))) % 0.96/1.06 [489]E(x4891,f3(a2))+E(x4891,f32(f3(a2)))+~E(f51(f51(f4(a2),x4892),x4891),f32(f3(a2))) % 0.96/1.06 [490]E(x4901,f3(a2))+E(x4901,f32(f3(a2)))+~E(f51(f51(f4(a2),x4901),x4902),f32(f3(a2))) % 0.96/1.06 [498]E(x4981,f32(f3(a2)))+E(x4982,f32(f3(a2)))+~E(f51(f51(f4(a2),x4982),x4981),f32(f3(a2))) % 0.96/1.06 [499]~P26(x4992)+E(x4991,f3(x4992))+~E(f51(f51(f4(x4992),x4991),x4991),f3(x4992)) % 0.96/1.06 [648]P58(f51(x6481,x6482))+~P58(f51(x6481,f3(a2)))+~P58(f51(x6481,f32(f65(x6481)))) % 0.96/1.06 [649]P58(f51(x6491,x6492))+~P58(f51(x6491,f3(a2)))+~P58(f51(x6491,f32(f68(x6491)))) % 0.96/1.06 [650]P58(f51(x6501,x6502))+~P58(f51(x6501,f3(a2)))+~P58(f51(x6501,f32(f66(x6501)))) % 0.96/1.06 [651]P58(f51(x6511,x6512))+~P58(f51(x6511,f3(a2)))+~P58(f51(x6511,f32(f67(x6511)))) % 0.96/1.06 [720]~P26(x7201)+~P9(f3(x7201),x7202,x7201)+P9(f3(x7201),f51(f51(f4(x7201),x7202),x7202),x7201) % 0.96/1.06 [721]~P26(x7211)+~P13(f3(x7211),x7212,x7211)+P13(f3(x7211),f51(f51(f4(x7211),x7212),x7212),x7211) % 0.96/1.06 [722]~P26(x7221)+~P9(x7222,f3(x7221),x7221)+P9(f51(f51(f4(x7221),x7222),x7222),f3(x7221),x7221) % 0.96/1.06 [723]~P45(x7231)+~P9(x7232,f3(x7231),x7231)+P9(f51(f51(f4(x7231),x7232),x7232),f3(x7231),x7231) % 0.96/1.06 [724]~P26(x7241)+~P13(x7242,f3(x7241),x7241)+P13(f51(f51(f4(x7241),x7242),x7242),f3(x7241),x7241) % 0.96/1.06 [765]~P26(x7652)+P9(x7651,f3(x7652),x7652)+~P9(f51(f51(f4(x7652),x7651),x7651),f3(x7652),x7652) % 0.96/1.06 [766]~P45(x7662)+P9(x7661,f3(x7662),x7662)+~P9(f51(f51(f4(x7662),x7661),x7661),f3(x7662),x7662) % 0.96/1.06 [767]~P26(x7672)+P13(x7671,f3(x7672),x7672)+~P13(f51(f51(f4(x7672),x7671),x7671),f3(x7672),x7672) % 0.96/1.06 [768]~P26(x7681)+P9(f3(x7681),x7682,x7681)+~P9(f3(x7681),f51(f51(f4(x7681),x7682),x7682),x7681) % 0.96/1.06 [769]~P26(x7691)+P13(f3(x7691),x7692,x7691)+~P13(f3(x7691),f51(f51(f4(x7691),x7692),x7692),x7691) % 0.96/1.06 [800]P9(f3(a2),x8001,a2)+P9(f3(a2),x8002,a2)+~P9(f3(a2),f51(f51(f4(a2),x8001),x8002),a2) % 0.96/1.06 [529]P13(x5292,x5291,x5293)+~P3(x5293)+P9(x5291,x5292,x5293) % 0.96/1.06 [531]P13(x5312,x5311,x5313)+~P3(x5313)+P13(x5311,x5312,x5313) % 0.96/1.06 [573]~P33(x5733)+~P9(x5731,x5732,x5733)+P13(x5731,x5732,x5733) % 0.96/1.06 [574]~P34(x5743)+~P9(x5741,x5742,x5743)+P13(x5741,x5742,x5743) % 0.96/1.06 [628]~P9(x6283,x6282,x6281)+~P3(x6281)+~P9(x6282,x6283,x6281) % 0.96/1.06 [630]~P13(x6303,x6302,x6301)+~P3(x6301)+~P9(x6302,x6303,x6301) % 0.96/1.06 [633]~P9(x6333,x6332,x6331)+~P33(x6331)+~P9(x6332,x6333,x6331) % 0.96/1.06 [634]~P13(x6343,x6342,x6341)+~P33(x6341)+~P9(x6342,x6343,x6341) % 0.96/1.06 [635]~P9(x6353,x6352,x6351)+~P34(x6351)+~P9(x6352,x6353,x6351) % 0.96/1.06 [659]~P13(x6591,x6593,a2)+P13(x6591,x6592,a2)+~P13(x6593,x6592,a2) % 0.96/1.06 [434]~P7(x4343)+E(x4341,x4342)+~E(f27(x4341,x4343),f27(x4342,x4343)) % 0.96/1.06 [500]~P25(x5003)+E(x5001,x5002)+~E(f5(x5001,x5002,x5003),f3(x5003)) % 0.96/1.06 [501]~P17(x5013)+E(x5011,x5012)+~E(f5(x5011,x5012,x5013),f3(x5013)) % 0.96/1.06 [505]~P53(x5052)+~E(f33(x5051,x5053,x5052),f3(x5052))+E(x5051,f3(x5052)) % 0.96/1.06 [580]~P3(x5803)+~P13(x5802,x5801,x5803)+E(f31(x5801,x5802,x5803),x5802) % 0.96/1.06 [581]~P3(x5813)+~P13(x5811,x5812,x5813)+E(f31(x5811,x5812,x5813),x5811) % 0.96/1.06 [582]~P3(x5823)+~P13(x5821,x5822,x5823)+E(f30(x5821,x5822,x5823),x5822) % 0.96/1.06 [583]~P3(x5833)+~P13(x5832,x5831,x5833)+E(f30(x5831,x5832,x5833),x5831) % 0.96/1.06 [587]~P3(x5873)+P13(x5871,x5872,x5873)+~E(f31(x5871,x5872,x5873),x5871) % 0.96/1.06 [588]~P3(x5883)+P13(x5881,x5882,x5883)+~E(f30(x5881,x5882,x5883),x5882) % 0.96/1.06 [612]E(x6121,x6122)+~E(f7(x6123,x6121,a2),f7(x6123,x6122,a2))+E(x6123,f3(a2)) % 0.96/1.06 [613]E(x6131,x6132)+~E(f7(x6131,x6133,a2),f7(x6132,x6133,a2))+E(x6133,f3(a2)) % 0.96/1.06 [652]~P36(x6522)+~P9(x6521,x6523,a2)+P9(f27(x6521,x6522),f27(x6523,x6522),x6522) % 0.96/1.06 [653]~P36(x6532)+~P13(x6531,x6533,a2)+P13(f27(x6531,x6532),f27(x6533,x6532),x6532) % 0.96/1.06 [672]~P9(x6721,x6723,a2)+~P9(x6723,x6722,a2)+P9(f32(x6721),x6722,a2) % 0.96/1.06 [673]~P36(x6733)+~P9(f27(x6731,x6733),f27(x6732,x6733),x6733)+P9(x6731,x6732,a2) % 0.96/1.06 [674]~P36(x6743)+~P13(f27(x6741,x6743),f27(x6742,x6743),x6743)+P13(x6741,x6742,a2) % 0.96/1.06 [715]E(x7151,x7152)+~E(f7(x7153,x7151,a2),f7(x7153,x7152,a2))+~P9(f3(a2),x7153,a2) % 0.96/1.06 [718]~P28(x7183)+~P9(x7181,x7182,x7183)+P9(f5(x7181,x7182,x7183),f3(x7183),x7183) % 0.96/1.06 [719]~P28(x7193)+~P13(x7191,x7192,x7193)+P13(f5(x7191,x7192,x7193),f3(x7193),x7193) % 0.96/1.06 [725]~P36(x7251)+~P9(f3(x7251),x7252,x7251)+P9(f3(x7251),f33(x7252,x7253,x7251),x7251) % 0.96/1.06 [726]~P36(x7261)+~P13(f3(x7261),x7262,x7261)+P13(f3(x7261),f33(x7262,x7263,x7261),x7261) % 0.96/1.06 [770]~P28(x7703)+P9(x7701,x7702,x7703)+~P9(f5(x7701,x7702,x7703),f3(x7703),x7703) % 0.96/1.06 [771]~P28(x7713)+P13(x7711,x7712,x7713)+~P13(f5(x7711,x7712,x7713),f3(x7713),x7713) % 0.96/1.06 [889]~P9(x8891,x8893,a2)+~P13(x8892,x8891,a2)+P9(f5(x8891,x8892,a2),f5(x8893,x8892,a2),a2) % 0.96/1.06 [890]~P9(x8903,x8902,a2)+~P9(x8903,x8901,a2)+P9(f5(x8901,x8902,a2),f5(x8901,x8903,a2),a2) % 0.96/1.06 [893]~P9(x8931,x8933,a2)+P9(f7(x8931,x8932,a2),f7(x8933,x8932,a2),a2)+~P9(f3(a2),x8932,a2) % 0.96/1.06 [896]~P9(x8962,x8963,a2)+P9(f7(x8961,x8962,a2),f7(x8961,x8963,a2),a2)+~P9(f3(a2),x8961,a2) % 0.96/1.06 [976]P13(x9761,x9762,a2)+~P13(f7(x9763,x9761,a2),f7(x9763,x9762,a2),a2)+~P9(f3(a2),x9763,a2) % 0.96/1.06 [977]P13(x9771,x9772,a2)+~P13(f7(x9771,x9773,a2),f7(x9772,x9773,a2),a2)+~P9(f3(a2),x9773,a2) % 0.96/1.06 [541]E(x5411,x5412)+P9(x5412,x5411,a2)+E(f18(f9(x5411),x5413,x5412),f9(x5411)) % 0.96/1.06 [738]~P54(x7382)+~P13(x7383,x7381,a2)+E(f5(f27(x7381,x7382),f27(x7383,x7382),x7382),f27(f5(x7381,x7383,a2),x7382)) % 0.96/1.06 [945]~P13(x9452,x9453,a2)+~P13(x9452,x9451,a2)+E(f5(f5(x9451,x9452,a2),f5(x9453,x9452,a2),a2),f5(x9451,x9453,a2)) % 0.96/1.06 [946]~P9(x9462,x9463,a2)+~P58(f51(x9461,f5(x9462,x9463,a2)))+P58(f51(x9461,f3(a2))) % 0.96/1.06 [989]~P46(x9892)+E(x9891,f3(x9892))+~E(f51(f51(f4(x9892),f7(x9893,x9893,x9892)),f7(x9891,x9891,x9892)),f3(x9892)) % 0.96/1.06 [990]~P46(x9902)+E(x9901,f3(x9902))+~E(f51(f51(f4(x9902),f7(x9901,x9901,x9902)),f7(x9903,x9903,x9902)),f3(x9902)) % 0.96/1.06 [1010]~P46(x10102)+E(x10101,f3(x10102))+P9(f3(x10102),f51(f51(f4(x10102),f7(x10103,x10103,x10102)),f7(x10101,x10101,x10102)),x10102) % 0.96/1.06 [1011]~P46(x10112)+E(x10111,f3(x10112))+P9(f3(x10112),f51(f51(f4(x10112),f7(x10111,x10111,x10112)),f7(x10113,x10113,x10112)),x10112) % 0.96/1.06 [1029]~P46(x10292)+E(x10291,f3(x10292))+~P13(f51(f51(f4(x10292),f7(x10293,x10293,x10292)),f7(x10291,x10291,x10292)),f3(x10292),x10292) % 0.96/1.06 [1030]~P46(x10302)+E(x10301,f3(x10302))+~P13(f51(f51(f4(x10302),f7(x10301,x10301,x10302)),f7(x10303,x10303,x10302)),f3(x10302),x10302) % 0.96/1.06 [739]~P13(x7391,x7392,a2)+~P9(f3(a2),x7393,a2)+P9(x7391,f51(f51(f4(a2),x7392),x7393),a2) % 0.96/1.06 [936]~P13(x9363,x9362,a2)+P13(x9361,f5(x9362,x9363,a2),a2)+~P13(f51(f51(f4(a2),x9361),x9363),x9362,a2) % 0.96/1.06 [941]~P13(x9412,x9413,a2)+~P13(x9411,f5(x9413,x9412,a2),a2)+P13(f51(f51(f4(a2),x9411),x9412),x9413,a2) % 0.96/1.06 [1085]~P8(x10852)+~P8(f22(a11,f18(x10851,x10852,f3(a2)),x10853,a50,a50))+P8(f22(a11,f51(f51(a11,f10(x10851)),x10852),x10853,a50,a50)) % 0.96/1.06 [602]~P11(x6021,x6024,x6023)+P11(x6021,x6022,x6023)+~P12(x6024,x6022) % 0.96/1.06 [638]~P17(x6384)+E(x6381,x6382)+~E(f5(x6383,x6383,x6384),f5(x6381,x6382,x6384)) % 0.96/1.06 [639]~P17(x6393)+E(x6391,x6392)+~E(f5(x6391,x6392,x6393),f5(x6394,x6394,x6393)) % 0.96/1.06 [700]~P3(x7004)+~P9(x7001,x7003,x7004)+P9(x7001,f30(x7002,x7003,x7004),x7004) % 0.96/1.06 [702]~P3(x7024)+~P9(x7021,x7022,x7024)+P9(x7021,f30(x7022,x7023,x7024),x7024) % 0.96/1.06 [704]~P3(x7044)+~P13(x7041,x7043,x7044)+P13(x7041,f30(x7042,x7043,x7044),x7044) % 0.96/1.06 [706]~P3(x7064)+~P13(x7061,x7062,x7064)+P13(x7061,f30(x7062,x7063,x7064),x7064) % 0.96/1.06 [708]~P3(x7083)+~P9(x7082,x7084,x7083)+P9(f31(x7081,x7082,x7083),x7084,x7083) % 0.96/1.06 [710]~P3(x7103)+~P9(x7101,x7104,x7103)+P9(f31(x7101,x7102,x7103),x7104,x7103) % 0.96/1.06 [712]~P3(x7123)+~P13(x7122,x7124,x7123)+P13(f31(x7121,x7122,x7123),x7124,x7123) % 0.96/1.06 [714]~P3(x7143)+~P13(x7141,x7144,x7143)+P13(f31(x7141,x7142,x7143),x7144,x7143) % 0.96/1.06 [743]~P3(x7433)+P9(x7431,x7432,x7433)+~P9(x7431,f31(x7434,x7432,x7433),x7433) % 0.96/1.06 [744]~P3(x7443)+P9(x7441,x7442,x7443)+~P9(x7441,f31(x7442,x7444,x7443),x7443) % 0.96/1.06 [746]~P3(x7463)+P13(x7461,x7462,x7463)+~P13(x7461,f31(x7464,x7462,x7463),x7463) % 0.96/1.06 [748]~P3(x7483)+P13(x7481,x7482,x7483)+~P13(x7481,f31(x7482,x7484,x7483),x7483) % 0.96/1.06 [749]~P3(x7493)+P9(x7491,x7492,x7493)+~P9(f30(x7494,x7491,x7493),x7492,x7493) % 0.96/1.06 [750]~P3(x7503)+P9(x7501,x7502,x7503)+~P9(f30(x7501,x7504,x7503),x7502,x7503) % 0.96/1.06 [752]~P3(x7523)+P13(x7521,x7522,x7523)+~P13(f30(x7524,x7521,x7523),x7522,x7523) % 0.96/1.06 [754]~P3(x7543)+P13(x7541,x7542,x7543)+~P13(f30(x7541,x7544,x7543),x7542,x7543) % 0.96/1.06 [891]~P13(x8912,x8914,a2)+~P13(x8911,x8913,a2)+P13(f7(x8911,x8912,a2),f7(x8913,x8914,a2),a2) % 0.96/1.06 [542]P58(f51(x5421,x5422))+P58(f51(x5421,x5423))+~E(f36(x5421),f51(f51(a48,x5424),x5423)) % 0.96/1.06 [543]P58(f51(x5431,x5432))+P58(f51(x5431,x5433))+~E(f36(x5431),f51(f51(a48,x5433),x5434)) % 0.96/1.06 [942]E(x9421,x9422)+E(x9423,f3(a2))+~E(f51(f51(f4(a2),x9424),f7(x9423,x9421,a2)),f51(f51(f4(a2),x9424),f7(x9423,x9422,a2))) % 0.96/1.06 [1008]~P40(x10081)+~P16(x10081)+E(f51(f51(f4(x10081),f7(x10082,x10083,x10081)),f7(x10082,x10084,x10081)),f51(f51(f4(x10081),f7(x10082,x10084,x10081)),f7(x10082,x10083,x10081))) % 0.96/1.06 [1023]E(x10231,x10232)+E(x10233,x10234)+~E(f51(f51(f4(a2),f7(x10233,x10231,a2)),f7(x10234,x10232,a2)),f51(f51(f4(a2),f7(x10233,x10232,a2)),f7(x10234,x10231,a2))) % 0.96/1.06 [619]~P18(x6193)+E(x6191,x6192)+~E(f51(f51(f4(x6193),x6194),x6191),f51(f51(f4(x6193),x6194),x6192)) % 0.96/1.06 [620]~P21(x6203)+E(x6201,x6202)+~E(f51(f51(f4(x6203),x6204),x6201),f51(f51(f4(x6203),x6204),x6202)) % 0.96/1.06 [621]~P21(x6213)+E(x6211,x6212)+~E(f51(f51(f4(x6213),x6211),x6214),f51(f51(f4(x6213),x6212),x6214)) % 0.96/1.06 [732]~P9(x7324,x7323,a2)+P9(x7321,x7322,a2)+~E(f51(f51(f4(a2),x7321),x7323),f51(f51(f4(a2),x7324),x7322)) % 0.96/1.06 [808]~P4(x8081)+~P9(x8082,x8084,x8081)+P9(f51(f51(f4(x8081),x8082),x8083),f51(f51(f4(x8081),x8084),x8083),x8081) % 0.96/1.06 [809]~P30(x8091)+~P9(x8092,x8094,x8091)+P9(f51(f51(f4(x8091),x8092),x8093),f51(f51(f4(x8091),x8094),x8093),x8091) % 0.96/1.06 [810]~P4(x8101)+~P9(x8103,x8104,x8101)+P9(f51(f51(f4(x8101),x8102),x8103),f51(f51(f4(x8101),x8102),x8104),x8101) % 0.96/1.06 [811]~P30(x8111)+~P9(x8113,x8114,x8111)+P9(f51(f51(f4(x8111),x8112),x8113),f51(f51(f4(x8111),x8112),x8114),x8111) % 0.96/1.06 [812]~P4(x8121)+~P13(x8122,x8124,x8121)+P13(f51(f51(f4(x8121),x8122),x8123),f51(f51(f4(x8121),x8124),x8123),x8121) % 0.96/1.06 [813]~P27(x8131)+~P13(x8132,x8134,x8131)+P13(f51(f51(f4(x8131),x8132),x8133),f51(f51(f4(x8131),x8134),x8133),x8131) % 0.96/1.06 [814]~P4(x8141)+~P13(x8143,x8144,x8141)+P13(f51(f51(f4(x8141),x8142),x8143),f51(f51(f4(x8141),x8142),x8144),x8141) % 0.96/1.06 [815]~P27(x8151)+~P13(x8153,x8154,x8151)+P13(f51(f51(f4(x8151),x8152),x8153),f51(f51(f4(x8151),x8152),x8154),x8151) % 0.96/1.06 [874]~P9(x8742,x8744,a2)+~P9(x8741,x8743,a2)+P9(f51(f51(f4(a2),x8741),x8742),f51(f51(f4(a2),x8743),x8744),a2) % 0.96/1.06 [875]~P13(x8752,x8754,a2)+~P13(x8751,x8753,a2)+P13(f51(f51(f4(a2),x8751),x8752),f51(f51(f4(a2),x8753),x8754),a2) % 0.96/1.06 [937]~P4(x9373)+P9(x9371,x9372,x9373)+~P9(f51(f51(f4(x9373),x9374),x9371),f51(f51(f4(x9373),x9374),x9372),x9373) % 0.96/1.06 [938]~P4(x9383)+P9(x9381,x9382,x9383)+~P9(f51(f51(f4(x9383),x9381),x9384),f51(f51(f4(x9383),x9382),x9384),x9383) % 0.96/1.06 [939]~P4(x9393)+P13(x9391,x9392,x9393)+~P13(f51(f51(f4(x9393),x9394),x9391),f51(f51(f4(x9393),x9394),x9392),x9393) % 0.96/1.06 [940]~P4(x9403)+P13(x9401,x9402,x9403)+~P13(f51(f51(f4(x9403),x9401),x9404),f51(f51(f4(x9403),x9402),x9404),x9403) % 0.96/1.06 [626]E(x6261,x6262)+~E(f24(x6263,x6261,x6264),f24(x6265,x6262,x6264))+E(x6263,f3(a2)) % 0.96/1.06 [1084]~P15(x10841,x10843,x10845)+~P11(x10841,x10842,f23(a48,x10845,x10844,a53,a53))+P11(x10841,f22(a11,x10842,x10843,a50,a50),x10844) % 0.96/1.06 [876]~P11(x8761,x8763,x8765)+~P11(x8761,x8762,f51(f51(a48,x8765),x8764))+P11(x8761,f51(f51(a11,x8762),x8763),x8764) % 0.96/1.06 [1093]E(x10931,x10932)+~P11(x10933,f22(a11,f9(x10934),x10935,a50,a50),x10931)+~P11(x10933,f22(a11,f9(x10934),x10935,a50,a50),x10932) % 0.96/1.06 [862]~P17(x8621)+E(f51(f51(f4(x8621),x8622),x8623),x8624)+~E(f51(f51(f4(x8621),x8622),f51(f51(f4(x8621),x8625),x8623)),f51(f51(f4(x8621),x8625),x8624)) % 0.96/1.06 [1035]~P13(x10353,x10352,a2)+~E(f51(f51(f4(a2),f7(x10353,x10354,a2)),x10351),f51(f51(f4(a2),f7(x10352,x10354,a2)),x10355))+E(x10351,f51(f51(f4(a2),f7(f5(x10352,x10353,a2),x10354,a2)),x10355)) % 0.96/1.06 [1036]~P13(x10362,x10361,a2)+~E(f51(f51(f4(a2),f7(x10361,x10363,a2)),x10364),f51(f51(f4(a2),f7(x10362,x10363,a2)),x10365))+E(f51(f51(f4(a2),f7(f5(x10361,x10362,a2),x10363,a2)),x10364),x10365) % 0.96/1.06 [1056]~P13(x10563,x10562,a2)+~P9(f51(f51(f4(a2),f7(x10563,x10564,a2)),x10561),f51(f51(f4(a2),f7(x10562,x10564,a2)),x10565),a2)+P9(x10561,f51(f51(f4(a2),f7(f5(x10562,x10563,a2),x10564,a2)),x10565),a2) % 0.96/1.06 [1057]~P13(x10573,x10572,a2)+~P13(f51(f51(f4(a2),f7(x10573,x10574,a2)),x10571),f51(f51(f4(a2),f7(x10572,x10574,a2)),x10575),a2)+P13(x10571,f51(f51(f4(a2),f7(f5(x10572,x10573,a2),x10574,a2)),x10575),a2) % 0.96/1.06 [1058]~P13(x10582,x10581,a2)+~P9(f51(f51(f4(a2),f7(x10581,x10583,a2)),x10584),f51(f51(f4(a2),f7(x10582,x10583,a2)),x10585),a2)+P9(f51(f51(f4(a2),f7(f5(x10581,x10582,a2),x10583,a2)),x10584),x10585,a2) % 0.96/1.06 [1059]~P13(x10592,x10591,a2)+~P13(f51(f51(f4(a2),f7(x10591,x10593,a2)),x10594),f51(f51(f4(a2),f7(x10592,x10593,a2)),x10595),a2)+P13(f51(f51(f4(a2),f7(f5(x10591,x10592,a2),x10593,a2)),x10594),x10595,a2) % 0.96/1.06 [1064]~P13(x10641,x10644,a2)+P9(f51(f51(f4(a2),f7(x10641,x10642,a2)),x10643),f51(f51(f4(a2),f7(x10644,x10642,a2)),x10645),a2)+~P9(x10643,f51(f51(f4(a2),f7(f5(x10644,x10641,a2),x10642,a2)),x10645),a2) % 0.96/1.06 [1065]~P13(x10651,x10654,a2)+P13(f51(f51(f4(a2),f7(x10651,x10652,a2)),x10653),f51(f51(f4(a2),f7(x10654,x10652,a2)),x10655),a2)+~P13(x10653,f51(f51(f4(a2),f7(f5(x10654,x10651,a2),x10652,a2)),x10655),a2) % 0.96/1.06 [1066]~P13(x10664,x10661,a2)+P9(f51(f51(f4(a2),f7(x10661,x10662,a2)),x10663),f51(f51(f4(a2),f7(x10664,x10662,a2)),x10665),a2)+~P9(f51(f51(f4(a2),f7(f5(x10661,x10664,a2),x10662,a2)),x10663),x10665,a2) % 0.96/1.06 [1067]~P13(x10674,x10671,a2)+P13(f51(f51(f4(a2),f7(x10671,x10672,a2)),x10673),f51(f51(f4(a2),f7(x10674,x10672,a2)),x10675),a2)+~P13(f51(f51(f4(a2),f7(f5(x10671,x10674,a2),x10672,a2)),x10673),x10675,a2) % 0.96/1.06 [1019]~P11(x10191,x10193,x10196)+P11(x10191,f18(x10192,x10193,x10194),x10195)+~P11(f35(x10191,x10194,x10196,a53),x10192,x10195) % 0.96/1.06 [1033]~P55(x10332)+~E(f51(f51(f4(x10332),f7(x10334,x10335,x10332)),x10331),f51(f51(f4(x10332),f7(x10333,x10335,x10332)),x10336))+E(x10331,f51(f51(f4(x10332),f7(f5(x10333,x10334,x10332),x10335,x10332)),x10336)) % 0.96/1.06 [1034]~P55(x10341)+~E(f51(f51(f4(x10341),f7(x10342,x10344,x10341)),x10345),f51(f51(f4(x10341),f7(x10343,x10344,x10341)),x10346))+E(f51(f51(f4(x10341),f7(f5(x10342,x10343,x10341),x10344,x10341)),x10345),x10346) % 0.96/1.06 [1060]~P51(x10602)+~P9(f51(f51(f4(x10602),f7(x10604,x10605,x10602)),x10601),f51(f51(f4(x10602),f7(x10603,x10605,x10602)),x10606),x10602)+P9(x10601,f51(f51(f4(x10602),f7(f5(x10603,x10604,x10602),x10605,x10602)),x10606),x10602) % 0.96/1.06 [1061]~P51(x10612)+~P13(f51(f51(f4(x10612),f7(x10614,x10615,x10612)),x10611),f51(f51(f4(x10612),f7(x10613,x10615,x10612)),x10616),x10612)+P13(x10611,f51(f51(f4(x10612),f7(f5(x10613,x10614,x10612),x10615,x10612)),x10616),x10612) % 0.96/1.06 [1062]~P51(x10621)+~P9(f51(f51(f4(x10621),f7(x10622,x10624,x10621)),x10625),f51(f51(f4(x10621),f7(x10623,x10624,x10621)),x10626),x10621)+P9(f51(f51(f4(x10621),f7(f5(x10622,x10623,x10621),x10624,x10621)),x10625),x10626,x10621) % 0.96/1.06 [1063]~P51(x10631)+~P13(f51(f51(f4(x10631),f7(x10632,x10634,x10631)),x10635),f51(f51(f4(x10631),f7(x10633,x10634,x10631)),x10636),x10631)+P13(f51(f51(f4(x10631),f7(f5(x10632,x10633,x10631),x10634,x10631)),x10635),x10636,x10631) % 0.96/1.06 [1068]~P51(x10681)+P9(f51(f51(f4(x10681),f7(x10682,x10683,x10681)),x10684),f51(f51(f4(x10681),f7(x10685,x10683,x10681)),x10686),x10681)+~P9(x10684,f51(f51(f4(x10681),f7(f5(x10685,x10682,x10681),x10683,x10681)),x10686),x10681) % 0.96/1.06 [1069]~P51(x10691)+P13(f51(f51(f4(x10691),f7(x10692,x10693,x10691)),x10694),f51(f51(f4(x10691),f7(x10695,x10693,x10691)),x10696),x10691)+~P13(x10694,f51(f51(f4(x10691),f7(f5(x10695,x10692,x10691),x10693,x10691)),x10696),x10691) % 0.96/1.06 [1070]~P51(x10701)+P9(f51(f51(f4(x10701),f7(x10702,x10703,x10701)),x10704),f51(f51(f4(x10701),f7(x10705,x10703,x10701)),x10706),x10701)+~P9(f51(f51(f4(x10701),f7(f5(x10702,x10705,x10701),x10703,x10701)),x10704),x10706,x10701) % 0.96/1.06 [1071]~P51(x10711)+P13(f51(f51(f4(x10711),f7(x10712,x10713,x10711)),x10714),f51(f51(f4(x10711),f7(x10715,x10713,x10711)),x10716),x10711)+~P13(f51(f51(f4(x10711),f7(f5(x10712,x10715,x10711),x10713,x10711)),x10714),x10716,x10711) % 0.96/1.06 [467]~P1(x4672)+~P2(x4672)+E(x4671,f3(a2))+E(f33(f3(x4672),x4671,x4672),f3(x4672)) % 0.96/1.06 [539]P9(x5391,x5392,x5393)+~P3(x5393)+E(x5391,x5392)+P9(x5392,x5391,x5393) % 0.96/1.06 [540]P9(x5401,x5402,x5403)+~P45(x5403)+E(x5401,x5402)+P9(x5402,x5401,x5403) % 0.96/1.06 [591]~P3(x5913)+~P13(x5911,x5912,x5913)+E(x5911,x5912)+P9(x5911,x5912,x5913) % 0.96/1.06 [597]~P34(x5973)+~P13(x5971,x5972,x5973)+E(x5971,x5972)+P9(x5971,x5972,x5973) % 0.96/1.06 [643]~P13(x6432,x6431,x6433)+~P13(x6431,x6432,x6433)+E(x6431,x6432)+~P34(x6433) % 0.96/1.06 [655]P13(x6552,x6551,x6553)+~P33(x6553)+~P13(x6551,x6552,x6553)+P9(x6551,x6552,x6553) % 0.96/1.06 [509]~P40(x5093)+~P16(x5093)+E(x5091,x5092)+~E(f5(x5091,x5092,x5093),f3(x5093)) % 0.96/1.06 [513]~P43(x5132)+~E(f7(x5133,x5131,x5132),f3(x5132))+E(x5131,f3(x5132))+E(x5133,f3(x5132)) % 0.96/1.06 [514]~P52(x5142)+~E(f7(x5143,x5141,x5142),f3(x5142))+E(x5141,f3(x5142))+E(x5143,f3(x5142)) % 0.96/1.06 [788]E(x7881,x7882)+~P13(x7883,x7882,a2)+~P13(x7883,x7881,a2)+~E(f5(x7881,x7883,a2),f5(x7882,x7883,a2)) % 0.96/1.06 [830]~P46(x8301)+~P9(x8303,f3(x8301),x8301)+~P9(x8302,f3(x8301),x8301)+P9(f3(x8301),f7(x8302,x8303,x8301),x8301) % 0.96/1.06 [832]~P51(x8321)+~P13(x8323,f3(x8321),x8321)+~P13(x8322,f3(x8321),x8321)+P13(f3(x8321),f7(x8322,x8323,x8321),x8321) % 0.96/1.06 [833]~P46(x8331)+~P13(x8333,f3(x8331),x8331)+~P13(x8332,f3(x8331),x8331)+P13(f3(x8331),f7(x8332,x8333,x8331),x8331) % 0.96/1.06 [834]~P35(x8341)+~P9(f3(x8341),x8343,x8341)+~P9(f3(x8341),x8342,x8341)+P9(f3(x8341),f7(x8342,x8343,x8341),x8341) % 0.96/1.06 [835]~P51(x8351)+~P13(f3(x8351),x8353,x8351)+~P13(f3(x8351),x8352,x8351)+P13(f3(x8351),f7(x8352,x8353,x8351),x8351) % 0.96/1.06 [836]~P46(x8361)+~P13(f3(x8361),x8363,x8361)+~P13(f3(x8361),x8362,x8361)+P13(f3(x8361),f7(x8362,x8363,x8361),x8361) % 0.96/1.06 [837]~P49(x8371)+~P13(f3(x8371),x8373,x8371)+~P13(f3(x8371),x8372,x8371)+P13(f3(x8371),f7(x8372,x8373,x8371),x8371) % 0.96/1.06 [838]~P35(x8383)+~P9(x8382,f3(x8383),x8383)+~P9(f3(x8383),x8381,x8383)+P9(f7(x8381,x8382,x8383),f3(x8383),x8383) % 0.96/1.06 [840]~P35(x8403)+~P9(x8401,f3(x8403),x8403)+~P9(f3(x8403),x8402,x8403)+P9(f7(x8401,x8402,x8403),f3(x8403),x8403) % 0.96/1.06 [841]~P46(x8413)+~P13(x8412,f3(x8413),x8413)+~P13(f3(x8413),x8411,x8413)+P13(f7(x8411,x8412,x8413),f3(x8413),x8413) % 0.96/1.06 [842]~P46(x8423)+~P13(x8421,f3(x8423),x8423)+~P13(f3(x8423),x8422,x8423)+P13(f7(x8421,x8422,x8423),f3(x8423),x8423) % 0.96/1.06 [844]~P49(x8443)+~P13(x8442,f3(x8443),x8443)+~P13(f3(x8443),x8441,x8443)+P13(f7(x8441,x8442,x8443),f3(x8443),x8443) % 0.96/1.06 [847]~P49(x8473)+~P13(x8471,f3(x8473),x8473)+~P13(f3(x8473),x8472,x8473)+P13(f7(x8471,x8472,x8473),f3(x8473),x8473) % 0.96/1.06 [866]~P46(x8662)+~P13(f7(x8663,x8661,x8662),f3(x8662),x8662)+P13(x8661,f3(x8662),x8662)+P13(x8663,f3(x8662),x8662) % 0.96/1.06 [867]~P46(x8672)+~P13(f3(x8672),f7(x8673,x8671,x8672),x8672)+P13(x8671,f3(x8672),x8672)+P13(f3(x8672),x8673,x8672) % 0.96/1.06 [868]~P46(x8682)+~P13(f3(x8682),f7(x8681,x8683,x8682),x8682)+P13(x8681,f3(x8682),x8682)+P13(f3(x8682),x8683,x8682) % 0.96/1.06 [869]~P46(x8692)+~P13(f3(x8692),f7(x8693,x8691,x8692),x8692)+P13(x8691,f3(x8692),x8692)+P13(f3(x8692),x8691,x8692) % 0.96/1.06 [870]~P46(x8702)+~P13(f3(x8702),f7(x8701,x8703,x8702),x8702)+P13(x8701,f3(x8702),x8702)+P13(f3(x8702),x8701,x8702) % 0.96/1.06 [871]~P46(x8712)+~P13(f7(x8713,x8711,x8712),f3(x8712),x8712)+P13(x8711,f3(x8712),x8712)+P13(f3(x8712),x8711,x8712) % 0.96/1.06 [872]~P46(x8722)+~P13(f7(x8721,x8723,x8722),f3(x8722),x8722)+P13(x8721,f3(x8722),x8722)+P13(f3(x8722),x8721,x8722) % 0.96/1.06 [873]~P46(x8731)+~P13(f7(x8732,x8733,x8731),f3(x8731),x8731)+P13(f3(x8731),x8732,x8731)+P13(f3(x8731),x8733,x8731) % 0.96/1.06 [887]~P35(x8871)+~P9(f3(x8871),f7(x8873,x8872,x8871),x8871)+P9(f3(x8871),x8872,x8871)+~P9(f3(x8871),x8873,x8871) % 0.96/1.06 [888]~P35(x8881)+~P9(f3(x8881),f7(x8882,x8883,x8881),x8881)+P9(f3(x8881),x8882,x8881)+~P9(f3(x8881),x8883,x8881) % 0.96/1.06 [993]~P13(x9933,x9931,a2)+P9(x9931,x9932,a2)+~P13(x9933,x9932,a2)+~P9(f5(x9931,x9933,a2),f5(x9932,x9933,a2),a2) % 0.96/1.06 [994]~P13(x9943,x9941,a2)+P13(x9941,x9942,a2)+~P13(x9943,x9942,a2)+~P13(f5(x9941,x9943,a2),f5(x9942,x9943,a2),a2) % 0.96/1.06 [658]~P9(x6582,f6(x6581),a2)+P58(f51(x6581,x6582))+P58(f51(x6581,x6583))+~P58(f51(x6581,f3(a2))) % 0.96/1.06 [504]~P40(x5042)+~P16(x5042)+E(x5041,f3(x5042))+~E(f51(f51(f4(x5042),x5043),x5041),x5043) % 0.96/1.06 [820]~P29(x8201)+~P9(f3(x8201),x8203,x8201)+~P9(f3(x8201),x8202,x8201)+P9(f3(x8201),f51(f51(f4(x8201),x8202),x8203),x8201) % 0.96/1.06 [821]~P29(x8211)+~P9(f3(x8211),x8213,x8211)+~P13(f3(x8211),x8212,x8211)+P9(f3(x8211),f51(f51(f4(x8211),x8212),x8213),x8211) % 0.96/1.06 [822]~P29(x8221)+~P9(f3(x8221),x8222,x8221)+~P13(f3(x8221),x8223,x8221)+P9(f3(x8221),f51(f51(f4(x8221),x8222),x8223),x8221) % 0.96/1.06 [823]~P29(x8231)+~P13(f3(x8231),x8233,x8231)+~P13(f3(x8231),x8232,x8231)+P13(f3(x8231),f51(f51(f4(x8231),x8232),x8233),x8231) % 0.96/1.06 [824]~P29(x8241)+~P9(x8243,f3(x8241),x8241)+~P9(x8242,f3(x8241),x8241)+P9(f51(f51(f4(x8241),x8242),x8243),f3(x8241),x8241) % 0.96/1.06 [825]~P29(x8251)+~P9(x8253,f3(x8251),x8251)+~P13(x8252,f3(x8251),x8251)+P9(f51(f51(f4(x8251),x8252),x8253),f3(x8251),x8251) % 0.96/1.06 [826]~P29(x8261)+~P9(x8262,f3(x8261),x8261)+~P13(x8263,f3(x8261),x8261)+P9(f51(f51(f4(x8261),x8262),x8263),f3(x8261),x8261) % 0.96/1.06 [827]~P29(x8271)+~P13(x8273,f3(x8271),x8271)+~P13(x8272,f3(x8271),x8271)+P13(f51(f51(f4(x8271),x8272),x8273),f3(x8271),x8271) % 0.96/1.06 [682]~P33(x6823)+~P9(x6821,x6824,x6823)+P9(x6821,x6822,x6823)+~P9(x6824,x6822,x6823) % 0.96/1.06 [683]~P33(x6833)+~P13(x6831,x6834,x6833)+P9(x6831,x6832,x6833)+~P9(x6834,x6832,x6833) % 0.96/1.06 [684]~P33(x6843)+~P13(x6844,x6842,x6843)+P9(x6841,x6842,x6843)+~P9(x6841,x6844,x6843) % 0.96/1.06 [685]~P34(x6853)+~P9(x6851,x6854,x6853)+P9(x6851,x6852,x6853)+~P9(x6854,x6852,x6853) % 0.96/1.06 [686]~P34(x6863)+~P13(x6861,x6864,x6863)+P9(x6861,x6862,x6863)+~P9(x6864,x6862,x6863) % 0.96/1.06 [687]~P34(x6873)+~P13(x6874,x6872,x6873)+P9(x6871,x6872,x6873)+~P9(x6871,x6874,x6873) % 0.96/1.06 [688]~P33(x6883)+~P13(x6881,x6884,x6883)+P13(x6881,x6882,x6883)+~P13(x6884,x6882,x6883) % 0.96/1.06 [689]~P34(x6893)+~P13(x6891,x6894,x6893)+P13(x6891,x6892,x6893)+~P13(x6894,x6892,x6893) % 0.96/1.06 [792]~P3(x7924)+~P9(x7921,x7923,x7924)+~P9(x7921,x7922,x7924)+P9(x7921,f31(x7922,x7923,x7924),x7924) % 0.96/1.06 [795]~P3(x7954)+~P13(x7951,x7953,x7954)+~P13(x7951,x7952,x7954)+P13(x7951,f31(x7952,x7953,x7954),x7954) % 0.96/1.06 [796]~P3(x7963)+~P9(x7962,x7964,x7963)+~P9(x7961,x7964,x7963)+P9(f30(x7961,x7962,x7963),x7964,x7963) % 0.96/1.06 [799]~P3(x7993)+~P13(x7992,x7994,x7993)+~P13(x7991,x7994,x7993)+P13(f30(x7991,x7992,x7993),x7994,x7993) % 0.96/1.06 [851]~P3(x8513)+P9(x8511,x8512,x8513)+P9(x8511,x8514,x8513)+~P9(x8511,f30(x8512,x8514,x8513),x8513) % 0.96/1.06 [852]~P3(x8523)+P13(x8521,x8522,x8523)+P13(x8521,x8524,x8523)+~P13(x8521,f30(x8522,x8524,x8523),x8523) % 0.96/1.06 [853]~P3(x8533)+P9(x8531,x8532,x8533)+P9(x8534,x8532,x8533)+~P9(f31(x8531,x8534,x8533),x8532,x8533) % 0.96/1.06 [854]~P3(x8543)+P13(x8541,x8542,x8543)+P13(x8544,x8542,x8543)+~P13(f31(x8541,x8544,x8543),x8542,x8543) % 0.96/1.06 [913]~P46(x9133)+~P9(x9134,x9131,x9133)+~P9(x9132,f3(x9133),x9133)+P9(f7(x9131,x9132,x9133),f7(x9134,x9132,x9133),x9133) % 0.96/1.06 [916]~P46(x9163)+~P9(x9164,x9162,x9163)+~P9(x9161,f3(x9163),x9163)+P9(f7(x9161,x9162,x9163),f7(x9161,x9164,x9163),x9163) % 0.96/1.06 [917]~P51(x9173)+~P13(x9174,x9171,x9173)+~P13(x9172,f3(x9173),x9173)+P13(f7(x9171,x9172,x9173),f7(x9174,x9172,x9173),x9173) % 0.96/1.06 [918]~P51(x9183)+~P13(x9184,x9182,x9183)+~P13(x9181,f3(x9183),x9183)+P13(f7(x9181,x9182,x9183),f7(x9181,x9184,x9183),x9183) % 0.96/1.06 [919]~P46(x9193)+~P13(x9194,x9192,x9193)+~P9(x9191,f3(x9193),x9193)+P13(f7(x9191,x9192,x9193),f7(x9191,x9194,x9193),x9193) % 0.96/1.06 [920]~P35(x9203)+~P9(x9201,x9204,x9203)+~P9(f3(x9203),x9202,x9203)+P9(f7(x9201,x9202,x9203),f7(x9204,x9202,x9203),x9203) % 0.96/1.06 [921]~P46(x9213)+~P9(x9211,x9214,x9213)+~P9(f3(x9213),x9212,x9213)+P9(f7(x9211,x9212,x9213),f7(x9214,x9212,x9213),x9213) % 0.96/1.06 [922]~P35(x9223)+~P9(x9222,x9224,x9223)+~P9(f3(x9223),x9221,x9223)+P9(f7(x9221,x9222,x9223),f7(x9221,x9224,x9223),x9223) % 0.96/1.06 [924]~P46(x9243)+~P9(x9242,x9244,x9243)+~P9(f3(x9243),x9241,x9243)+P9(f7(x9241,x9242,x9243),f7(x9241,x9244,x9243),x9243) % 0.96/1.06 [925]~P42(x9253)+~P9(x9252,x9254,x9253)+~P9(f3(x9253),x9251,x9253)+P9(f7(x9251,x9252,x9253),f7(x9251,x9254,x9253),x9253) % 0.96/1.06 [926]~P39(x9263)+~P13(x9261,x9264,x9263)+~P13(f3(x9263),x9262,x9263)+P13(f7(x9261,x9262,x9263),f7(x9264,x9262,x9263),x9263) % 0.96/1.06 [927]~P46(x9273)+~P13(x9272,x9274,x9273)+~P9(f3(x9273),x9271,x9273)+P13(f7(x9271,x9272,x9273),f7(x9271,x9274,x9273),x9273) % 0.96/1.06 [928]~P39(x9283)+~P13(x9282,x9284,x9283)+~P13(f3(x9283),x9281,x9283)+P13(f7(x9281,x9282,x9283),f7(x9281,x9284,x9283),x9283) % 0.96/1.06 [929]~P41(x9293)+~P13(x9292,x9294,x9293)+~P13(f3(x9293),x9291,x9293)+P13(f7(x9291,x9292,x9293),f7(x9291,x9294,x9293),x9293) % 0.96/1.06 [930]~P36(x9303)+~P13(x9301,x9304,x9303)+~P13(f3(x9303),x9301,x9303)+P13(f33(x9301,x9302,x9303),f33(x9304,x9302,x9303),x9303) % 0.96/1.06 [962]P9(x9622,x9621,x9623)+~P46(x9623)+P9(x9621,x9622,x9623)+~P9(f7(x9624,x9621,x9623),f7(x9624,x9622,x9623),x9623) % 0.96/1.06 [963]P9(x9632,x9631,x9633)+~P46(x9633)+P9(x9631,x9632,x9633)+~P9(f7(x9631,x9634,x9633),f7(x9632,x9634,x9633),x9633) % 0.96/1.06 [965]~P46(x9653)+P9(x9651,x9652,x9653)+~P9(f7(x9651,x9654,x9653),f7(x9652,x9654,x9653),x9653)+P9(x9654,f3(x9653),x9653) % 0.96/1.06 [966]~P46(x9663)+P9(x9661,x9662,x9663)+~P9(f7(x9664,x9661,x9663),f7(x9664,x9662,x9663),x9663)+P9(x9664,f3(x9663),x9663) % 0.96/1.06 [967]~P46(x9673)+P9(x9671,x9672,x9673)+~P9(f7(x9674,x9672,x9673),f7(x9674,x9671,x9673),x9673)+P9(f3(x9673),x9674,x9673) % 0.96/1.06 [968]~P46(x9683)+P9(x9681,x9682,x9683)+~P9(f7(x9682,x9684,x9683),f7(x9681,x9684,x9683),x9683)+P9(f3(x9683),x9684,x9683) % 0.96/1.06 [972]~P46(x9722)+~P9(f7(x9723,x9721,x9722),f7(x9724,x9721,x9722),x9722)+P9(x9721,f3(x9722),x9722)+P9(f3(x9722),x9721,x9722) % 0.96/1.06 [973]~P46(x9732)+~P9(f7(x9731,x9733,x9732),f7(x9731,x9734,x9732),x9732)+P9(x9731,f3(x9732),x9732)+P9(f3(x9732),x9731,x9732) % 0.96/1.06 [978]~P46(x9783)+P9(x9781,x9782,x9783)+~P9(f7(x9784,x9782,x9783),f7(x9784,x9781,x9783),x9783)+~P9(x9784,f3(x9783),x9783) % 0.96/1.06 [979]~P46(x9793)+P13(x9791,x9792,x9793)+~P13(f7(x9794,x9792,x9793),f7(x9794,x9791,x9793),x9793)+~P9(x9794,f3(x9793),x9793) % 0.96/1.06 [980]~P35(x9803)+P9(x9801,x9802,x9803)+~P9(f7(x9804,x9801,x9803),f7(x9804,x9802,x9803),x9803)+~P13(f3(x9803),x9804,x9803) % 0.96/1.06 [981]~P35(x9813)+P9(x9811,x9812,x9813)+~P9(f7(x9811,x9814,x9813),f7(x9812,x9814,x9813),x9813)+~P13(f3(x9813),x9814,x9813) % 0.96/1.06 [982]~P36(x9823)+P9(x9821,x9822,x9823)+~P13(f3(x9823),x9822,x9823)+~P9(f33(x9821,x9824,x9823),f33(x9822,x9824,x9823),x9823) % 0.96/1.06 [983]~P46(x9833)+P9(x9831,x9832,x9833)+~P9(f7(x9834,x9831,x9833),f7(x9834,x9832,x9833),x9833)+~P9(f3(x9833),x9834,x9833) % 0.96/1.06 [984]~P47(x9843)+P9(x9841,x9842,x9843)+~P9(f7(x9844,x9841,x9843),f7(x9844,x9842,x9843),x9843)+~P13(f3(x9843),x9844,x9843) % 0.96/1.06 [985]~P47(x9853)+P9(x9851,x9852,x9853)+~P9(f7(x9851,x9854,x9853),f7(x9852,x9854,x9853),x9853)+~P13(f3(x9853),x9854,x9853) % 0.96/1.06 [986]~P35(x9863)+P13(x9861,x9862,x9863)+~P13(f7(x9864,x9861,x9863),f7(x9864,x9862,x9863),x9863)+~P9(f3(x9863),x9864,x9863) % 0.96/1.06 [987]~P35(x9873)+P13(x9871,x9872,x9873)+~P13(f7(x9871,x9874,x9873),f7(x9872,x9874,x9873),x9873)+~P9(f3(x9873),x9874,x9873) % 0.96/1.06 [988]~P46(x9883)+P13(x9881,x9882,x9883)+~P13(f7(x9884,x9881,x9883),f7(x9884,x9882,x9883),x9883)+~P9(f3(x9883),x9884,x9883) % 0.96/1.06 [992]~P36(x9923)+P13(x9921,x9922,x9923)+~P13(f3(x9923),x9922,x9923)+~P13(f33(x9921,f32(x9924),x9923),f33(x9922,f32(x9924),x9923),x9923) % 0.96/1.06 [640]~P40(x6403)+~P16(x6403)+E(x6401,x6402)+~E(f51(f51(f4(x6403),x6404),x6401),f51(f51(f4(x6403),x6404),x6402)) % 0.96/1.06 [807]~P36(x8072)+~P9(x8071,x8074,x8072)+~P9(f3(x8072),x8073,x8072)+P9(x8071,f51(f51(f4(x8072),x8073),x8074),x8072) % 0.96/1.06 [761]~P28(x7613)+~P9(x7614,x7615,x7613)+P9(x7611,x7612,x7613)+~E(f5(x7614,x7615,x7613),f5(x7611,x7612,x7613)) % 0.96/1.06 [762]~P28(x7623)+~P9(x7624,x7625,x7623)+P9(x7621,x7622,x7623)+~E(f5(x7621,x7622,x7623),f5(x7624,x7625,x7623)) % 0.96/1.06 [763]~P28(x7633)+~P13(x7635,x7634,x7633)+P13(x7631,x7632,x7633)+~E(f5(x7634,x7635,x7633),f5(x7632,x7631,x7633)) % 0.96/1.06 [764]~P28(x7643)+~P13(x7645,x7644,x7643)+P13(x7641,x7642,x7643)+~E(f5(x7642,x7641,x7643),f5(x7644,x7645,x7643)) % 0.96/1.06 [906]~P30(x9061)+~P9(x9063,x9065,x9061)+~P9(x9062,x9064,x9061)+P9(f51(f51(f4(x9061),x9062),x9063),f51(f51(f4(x9061),x9064),x9065),x9061) % 0.96/1.06 [907]~P30(x9071)+~P9(x9073,x9075,x9071)+~P13(x9072,x9074,x9071)+P9(f51(f51(f4(x9071),x9072),x9073),f51(f51(f4(x9071),x9074),x9075),x9071) % 0.96/1.06 [908]~P30(x9081)+~P9(x9082,x9084,x9081)+~P13(x9083,x9085,x9081)+P9(f51(f51(f4(x9081),x9082),x9083),f51(f51(f4(x9081),x9084),x9085),x9081) % 0.96/1.06 [909]~P27(x9091)+~P13(x9093,x9095,x9091)+~P13(x9092,x9094,x9091)+P13(f51(f51(f4(x9091),x9092),x9093),f51(f51(f4(x9091),x9094),x9095),x9091) % 0.96/1.06 [947]~P28(x9472)+~P13(x9475,x9474,x9472)+~P13(x9471,f51(f51(f4(x9472),x9473),x9475),x9472)+P13(x9471,f51(f51(f4(x9472),x9473),x9474),x9472) % 0.96/1.06 [1137]~P15(x11371,x11375,x11376)+P15(x11371,x11372,f45(x11373,x11374,x11371,x11372))+~P11(x11371,f22(a11,f9(x11377),x11375,a50,a50),x11374)+~P11(x11371,f22(a11,f22(a11,f9(x11377),x11375,a50,a50),x11372,a50,a50),x11373) % 0.96/1.06 [1138]~P15(x11383,x11385,x11386)+~P11(x11383,f22(a11,f9(x11387),x11385,a50,a50),x11382)+~P11(x11383,f22(a11,f22(a11,f9(x11387),x11385,a50,a50),x11384,a50,a50),x11381)+E(f23(a48,f45(x11381,x11382,x11383,x11384),x11381,a53,a53),x11382) % 0.96/1.06 [544]~P2(x5442)+~P57(x5442)+~P43(x5442)+~P44(x5442)+~E(f33(x5441,f3(a2),x5442),f3(x5442)) % 0.96/1.06 [733]~P29(x7332)+~P13(f3(x7332),x7331,x7332)+~P13(f3(x7332),x7333,x7332)+E(x7331,f3(x7332))+~E(f51(f51(f4(x7332),x7333),x7331),f3(x7332)) % 0.96/1.06 [734]~P29(x7342)+~P13(f3(x7342),x7343,x7342)+~P13(f3(x7342),x7341,x7342)+E(x7341,f3(x7342))+~E(f51(f51(f4(x7342),x7341),x7343),f3(x7342)) % 0.96/1.06 [969]~P36(x9693)+~P9(x9691,x9694,x9693)+~P13(f3(x9693),x9691,x9693)+P9(f33(x9691,x9692,x9693),f33(x9694,x9692,x9693),x9693)+~P9(f3(a2),x9692,a2) % 0.96/1.06 [865]~P36(x8654)+E(x8651,x8652)+~P13(f3(x8654),x8652,x8654)+~P13(f3(x8654),x8651,x8654)+~E(f33(x8651,f32(x8653),x8654),f33(x8652,f32(x8653),x8654)) % 0.96/1.06 [816]~P4(x8162)+~P5(x8162)+~P9(x8161,x8164,x8162)+~P13(f3(x8162),x8163,x8162)+P9(x8161,f51(f51(f4(x8162),x8163),x8164),x8162) % 0.96/1.06 [817]~P4(x8172)+~P5(x8172)+~P13(x8171,x8174,x8172)+~P9(f3(x8172),x8173,x8172)+P9(x8171,f51(f51(f4(x8172),x8173),x8174),x8172) % 0.96/1.06 [818]~P4(x8182)+~P5(x8182)+~P13(x8181,x8184,x8182)+~P13(f3(x8182),x8183,x8182)+P13(x8181,f51(f51(f4(x8182),x8183),x8184),x8182) % 0.96/1.06 [819]~P4(x8192)+~P5(x8192)+~P13(x8191,x8193,x8192)+~P13(f3(x8192),x8194,x8192)+P13(x8191,f51(f51(f4(x8192),x8193),x8194),x8192) % 0.96/1.06 [955]~P40(x9554)+~P16(x9554)+E(x9551,x9552)+E(x9553,f3(x9554))+~E(f51(f51(f4(x9554),x9555),f7(x9553,x9551,x9554)),f51(f51(f4(x9554),x9555),f7(x9553,x9552,x9554))) % 0.96/1.06 [1025]~P40(x10255)+~P16(x10255)+E(x10251,x10252)+E(x10253,x10254)+~E(f51(f51(f4(x10255),f7(x10253,x10251,x10255)),f7(x10254,x10252,x10255)),f51(f51(f4(x10255),f7(x10253,x10252,x10255)),f7(x10254,x10251,x10255))) % 0.96/1.06 [491]~P2(x4912)+~P57(x4912)+~P43(x4912)+~P44(x4912)+E(x4911,f3(a2))+E(f33(f3(x4912),x4911,x4912),f3(x4912)) % 0.96/1.06 [545]~P2(x5452)+~P57(x5452)+~P43(x5452)+~P44(x5452)+~E(f33(x5451,x5453,x5452),f3(x5452))+E(x5451,f3(x5452)) % 0.96/1.06 [931]~P36(x9314)+E(x9311,x9312)+~P13(f3(x9314),x9312,x9314)+~P13(f3(x9314),x9311,x9314)+~E(f33(x9311,x9313,x9314),f33(x9312,x9313,x9314))+~P9(f3(a2),x9313,a2) % 0.96/1.06 [995]~P35(x9953)+~P9(x9952,x9955,x9953)+~P9(x9951,x9954,x9953)+~P9(f3(x9953),x9954,x9953)+~P13(f3(x9953),x9952,x9953)+P9(f7(x9951,x9952,x9953),f7(x9954,x9955,x9953),x9953) % 0.96/1.06 [996]~P35(x9963)+~P9(x9962,x9965,x9963)+~P9(x9961,x9964,x9963)+~P13(f3(x9963),x9962,x9963)+~P13(f3(x9963),x9961,x9963)+P9(f7(x9961,x9962,x9963),f7(x9964,x9965,x9963),x9963) % 0.96/1.06 [997]~P35(x9973)+~P9(x9972,x9975,x9973)+~P13(x9971,x9974,x9973)+~P9(f3(x9973),x9971,x9973)+~P13(f3(x9973),x9972,x9973)+P9(f7(x9971,x9972,x9973),f7(x9974,x9975,x9973),x9973) % 0.96/1.06 [998]~P35(x9983)+~P9(x9981,x9984,x9983)+~P13(x9982,x9985,x9983)+~P9(f3(x9983),x9982,x9983)+~P13(f3(x9983),x9981,x9983)+P9(f7(x9981,x9982,x9983),f7(x9984,x9985,x9983),x9983) % 0.96/1.06 [999]~P50(x9993)+~P13(x9992,x9995,x9993)+~P13(x9991,x9994,x9993)+~P13(f3(x9993),x9994,x9993)+~P13(f3(x9993),x9992,x9993)+P13(f7(x9991,x9992,x9993),f7(x9994,x9995,x9993),x9993) % 0.96/1.06 [1000]~P50(x10003)+~P13(x10002,x10005,x10003)+~P13(x10001,x10004,x10003)+~P13(f3(x10003),x10002,x10003)+~P13(f3(x10003),x10001,x10003)+P13(f7(x10001,x10002,x10003),f7(x10004,x10005,x10003),x10003) % 0.96/1.06 [1020]~P8(x10202)+~P8(x10201)+~P11(x10206,x10202,x10205)+~P11(f35(x10206,x10203,x10205,a53),x10201,x10207)+P8(f18(x10201,x10202,x10203))+~E(f51(f51(a48,x10204),x10205),a56) % 0.96/1.06 [1021]~P8(x10212)+~P8(x10211)+~P11(x10216,x10212,x10214)+~P11(f35(x10216,x10213,x10214,a53),x10211,x10217)+P8(f18(x10211,x10212,x10213))+~E(f51(f51(a48,x10214),x10215),a56) % 0.96/1.06 %EqnAxiom % 0.96/1.06 [1]E(x11,x11) % 0.96/1.06 [2]E(x22,x21)+~E(x21,x22) % 0.96/1.06 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.96/1.06 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.96/1.06 [5]~E(x51,x52)+E(f8(x51),f8(x52)) % 0.96/1.06 [6]~E(x61,x62)+E(f22(x61,x63,x64,x65,x66),f22(x62,x63,x64,x65,x66)) % 0.96/1.06 [7]~E(x71,x72)+E(f22(x73,x71,x74,x75,x76),f22(x73,x72,x74,x75,x76)) % 0.96/1.06 [8]~E(x81,x82)+E(f22(x83,x84,x81,x85,x86),f22(x83,x84,x82,x85,x86)) % 0.96/1.06 [9]~E(x91,x92)+E(f22(x93,x94,x95,x91,x96),f22(x93,x94,x95,x92,x96)) % 0.96/1.06 [10]~E(x101,x102)+E(f22(x103,x104,x105,x106,x101),f22(x103,x104,x105,x106,x102)) % 0.96/1.06 [11]~E(x111,x112)+E(f29(x111),f29(x112)) % 0.96/1.06 [12]~E(x121,x122)+E(f51(x121,x123),f51(x122,x123)) % 0.96/1.06 [13]~E(x131,x132)+E(f51(x133,x131),f51(x133,x132)) % 0.96/1.06 [14]~E(x141,x142)+E(f9(x141),f9(x142)) % 0.96/1.06 [15]~E(x151,x152)+E(f4(x151),f4(x152)) % 0.96/1.06 [16]~E(x161,x162)+E(f12(x161),f12(x162)) % 0.96/1.06 [17]~E(x171,x172)+E(f5(x171,x173,x174),f5(x172,x173,x174)) % 0.96/1.06 [18]~E(x181,x182)+E(f5(x183,x181,x184),f5(x183,x182,x184)) % 0.96/1.06 [19]~E(x191,x192)+E(f5(x193,x194,x191),f5(x193,x194,x192)) % 0.96/1.06 [20]~E(x201,x202)+E(f15(x201,x203),f15(x202,x203)) % 0.96/1.06 [21]~E(x211,x212)+E(f15(x213,x211),f15(x213,x212)) % 0.96/1.06 [22]~E(x221,x222)+E(f7(x221,x223,x224),f7(x222,x223,x224)) % 0.96/1.06 [23]~E(x231,x232)+E(f7(x233,x231,x234),f7(x233,x232,x234)) % 0.96/1.06 [24]~E(x241,x242)+E(f7(x243,x244,x241),f7(x243,x244,x242)) % 0.96/1.06 [25]~E(x251,x252)+E(f40(x251,x253,x254,x255),f40(x252,x253,x254,x255)) % 0.96/1.06 [26]~E(x261,x262)+E(f40(x263,x261,x264,x265),f40(x263,x262,x264,x265)) % 0.96/1.06 [27]~E(x271,x272)+E(f40(x273,x274,x271,x275),f40(x273,x274,x272,x275)) % 0.96/1.06 [28]~E(x281,x282)+E(f40(x283,x284,x285,x281),f40(x283,x284,x285,x282)) % 0.96/1.06 [29]~E(x291,x292)+E(f28(x291,x293),f28(x292,x293)) % 0.96/1.06 [30]~E(x301,x302)+E(f28(x303,x301),f28(x303,x302)) % 0.96/1.06 [31]~E(x311,x312)+E(f17(x311,x313,x314),f17(x312,x313,x314)) % 0.96/1.06 [32]~E(x321,x322)+E(f17(x323,x321,x324),f17(x323,x322,x324)) % 0.96/1.06 [33]~E(x331,x332)+E(f17(x333,x334,x331),f17(x333,x334,x332)) % 0.96/1.06 [34]~E(x341,x342)+E(f21(x341,x343,x344),f21(x342,x343,x344)) % 0.96/1.06 [35]~E(x351,x352)+E(f21(x353,x351,x354),f21(x353,x352,x354)) % 0.96/1.06 [36]~E(x361,x362)+E(f21(x363,x364,x361),f21(x363,x364,x362)) % 0.96/1.06 [37]~E(x371,x372)+E(f23(x371,x373,x374,x375,x376),f23(x372,x373,x374,x375,x376)) % 0.96/1.06 [38]~E(x381,x382)+E(f23(x383,x381,x384,x385,x386),f23(x383,x382,x384,x385,x386)) % 0.96/1.06 [39]~E(x391,x392)+E(f23(x393,x394,x391,x395,x396),f23(x393,x394,x392,x395,x396)) % 0.96/1.06 [40]~E(x401,x402)+E(f23(x403,x404,x405,x401,x406),f23(x403,x404,x405,x402,x406)) % 0.96/1.06 [41]~E(x411,x412)+E(f23(x413,x414,x415,x416,x411),f23(x413,x414,x415,x416,x412)) % 0.96/1.06 [42]~E(x421,x422)+E(f31(x421,x423,x424),f31(x422,x423,x424)) % 0.96/1.06 [43]~E(x431,x432)+E(f31(x433,x431,x434),f31(x433,x432,x434)) % 0.96/1.06 [44]~E(x441,x442)+E(f31(x443,x444,x441),f31(x443,x444,x442)) % 0.96/1.06 [45]~E(x451,x452)+E(f10(x451),f10(x452)) % 0.96/1.06 [46]~E(x461,x462)+E(f45(x461,x463,x464,x465),f45(x462,x463,x464,x465)) % 0.96/1.06 [47]~E(x471,x472)+E(f45(x473,x471,x474,x475),f45(x473,x472,x474,x475)) % 0.96/1.06 [48]~E(x481,x482)+E(f45(x483,x484,x481,x485),f45(x483,x484,x482,x485)) % 0.96/1.06 [49]~E(x491,x492)+E(f45(x493,x494,x495,x491),f45(x493,x494,x495,x492)) % 0.96/1.06 [50]~E(x501,x502)+E(f32(x501),f32(x502)) % 0.96/1.06 [51]~E(x511,x512)+E(f33(x511,x513,x514),f33(x512,x513,x514)) % 0.96/1.06 [52]~E(x521,x522)+E(f33(x523,x521,x524),f33(x523,x522,x524)) % 0.96/1.06 [53]~E(x531,x532)+E(f33(x533,x534,x531),f33(x533,x534,x532)) % 0.96/1.06 [54]~E(x541,x542)+E(f39(x541,x543,x544,x545),f39(x542,x543,x544,x545)) % 0.96/1.06 [55]~E(x551,x552)+E(f39(x553,x551,x554,x555),f39(x553,x552,x554,x555)) % 0.96/1.06 [56]~E(x561,x562)+E(f39(x563,x564,x561,x565),f39(x563,x564,x562,x565)) % 0.96/1.06 [57]~E(x571,x572)+E(f39(x573,x574,x575,x571),f39(x573,x574,x575,x572)) % 0.96/1.06 [58]~E(x581,x582)+E(f16(x581,x583,x584),f16(x582,x583,x584)) % 0.96/1.06 [59]~E(x591,x592)+E(f16(x593,x591,x594),f16(x593,x592,x594)) % 0.96/1.06 [60]~E(x601,x602)+E(f16(x603,x604,x601),f16(x603,x604,x602)) % 0.96/1.06 [61]~E(x611,x612)+E(f30(x611,x613,x614),f30(x612,x613,x614)) % 0.96/1.06 [62]~E(x621,x622)+E(f30(x623,x621,x624),f30(x623,x622,x624)) % 0.96/1.06 [63]~E(x631,x632)+E(f30(x633,x634,x631),f30(x633,x634,x632)) % 0.96/1.06 [64]~E(x641,x642)+E(f37(x641,x643),f37(x642,x643)) % 0.96/1.06 [65]~E(x651,x652)+E(f37(x653,x651),f37(x653,x652)) % 0.96/1.06 [66]~E(x661,x662)+E(f18(x661,x663,x664),f18(x662,x663,x664)) % 0.96/1.06 [67]~E(x671,x672)+E(f18(x673,x671,x674),f18(x673,x672,x674)) % 0.96/1.06 [68]~E(x681,x682)+E(f18(x683,x684,x681),f18(x683,x684,x682)) % 0.96/1.06 [69]~E(x691,x692)+E(f20(x691),f20(x692)) % 0.96/1.06 [70]~E(x701,x702)+E(f34(x701),f34(x702)) % 0.96/1.06 [71]~E(x711,x712)+E(f25(x711,x713),f25(x712,x713)) % 0.96/1.06 [72]~E(x721,x722)+E(f25(x723,x721),f25(x723,x722)) % 0.96/1.06 [73]~E(x731,x732)+E(f24(x731,x733,x734),f24(x732,x733,x734)) % 0.96/1.06 [74]~E(x741,x742)+E(f24(x743,x741,x744),f24(x743,x742,x744)) % 0.96/1.06 [75]~E(x751,x752)+E(f24(x753,x754,x751),f24(x753,x754,x752)) % 0.96/1.06 [76]~E(x761,x762)+E(f14(x761,x763,x764,x765,x766),f14(x762,x763,x764,x765,x766)) % 0.96/1.06 [77]~E(x771,x772)+E(f14(x773,x771,x774,x775,x776),f14(x773,x772,x774,x775,x776)) % 0.96/1.06 [78]~E(x781,x782)+E(f14(x783,x784,x781,x785,x786),f14(x783,x784,x782,x785,x786)) % 0.96/1.06 [79]~E(x791,x792)+E(f14(x793,x794,x795,x791,x796),f14(x793,x794,x795,x792,x796)) % 0.96/1.06 [80]~E(x801,x802)+E(f14(x803,x804,x805,x806,x801),f14(x803,x804,x805,x806,x802)) % 0.96/1.06 [81]~E(x811,x812)+E(f13(x811,x813,x814,x815,x816),f13(x812,x813,x814,x815,x816)) % 0.96/1.06 [82]~E(x821,x822)+E(f13(x823,x821,x824,x825,x826),f13(x823,x822,x824,x825,x826)) % 0.96/1.06 [83]~E(x831,x832)+E(f13(x833,x834,x831,x835,x836),f13(x833,x834,x832,x835,x836)) % 0.96/1.06 [84]~E(x841,x842)+E(f13(x843,x844,x845,x841,x846),f13(x843,x844,x845,x842,x846)) % 0.96/1.06 [85]~E(x851,x852)+E(f13(x853,x854,x855,x856,x851),f13(x853,x854,x855,x856,x852)) % 0.96/1.06 [86]~E(x861,x862)+E(f27(x861,x863),f27(x862,x863)) % 0.96/1.06 [87]~E(x871,x872)+E(f27(x873,x871),f27(x873,x872)) % 0.96/1.06 [88]~E(x881,x882)+E(f41(x881,x883,x884),f41(x882,x883,x884)) % 0.96/1.06 [89]~E(x891,x892)+E(f41(x893,x891,x894),f41(x893,x892,x894)) % 0.96/1.06 [90]~E(x901,x902)+E(f41(x903,x904,x901),f41(x903,x904,x902)) % 0.96/1.06 [91]~E(x911,x912)+E(f26(x911,x913,x914,x915),f26(x912,x913,x914,x915)) % 0.96/1.06 [92]~E(x921,x922)+E(f26(x923,x921,x924,x925),f26(x923,x922,x924,x925)) % 0.96/1.06 [93]~E(x931,x932)+E(f26(x933,x934,x931,x935),f26(x933,x934,x932,x935)) % 0.96/1.06 [94]~E(x941,x942)+E(f26(x943,x944,x945,x941),f26(x943,x944,x945,x942)) % 0.96/1.06 [95]~E(x951,x952)+E(f35(x951,x953,x954,x955),f35(x952,x953,x954,x955)) % 0.96/1.06 [96]~E(x961,x962)+E(f35(x963,x961,x964,x965),f35(x963,x962,x964,x965)) % 0.96/1.06 [97]~E(x971,x972)+E(f35(x973,x974,x971,x975),f35(x973,x974,x972,x975)) % 0.96/1.06 [98]~E(x981,x982)+E(f35(x983,x984,x985,x981),f35(x983,x984,x985,x982)) % 0.96/1.06 [99]~E(x991,x992)+E(f46(x991,x993,x994,x995),f46(x992,x993,x994,x995)) % 0.96/1.06 [100]~E(x1001,x1002)+E(f46(x1003,x1001,x1004,x1005),f46(x1003,x1002,x1004,x1005)) % 0.96/1.06 [101]~E(x1011,x1012)+E(f46(x1013,x1014,x1011,x1015),f46(x1013,x1014,x1012,x1015)) % 0.96/1.06 [102]~E(x1021,x1022)+E(f46(x1023,x1024,x1025,x1021),f46(x1023,x1024,x1025,x1022)) % 0.96/1.06 [103]~E(x1031,x1032)+E(f68(x1031),f68(x1032)) % 0.96/1.06 [104]~E(x1041,x1042)+E(f19(x1041,x1043),f19(x1042,x1043)) % 0.96/1.06 [105]~E(x1051,x1052)+E(f19(x1053,x1051),f19(x1053,x1052)) % 0.96/1.06 [106]~E(x1061,x1062)+E(f43(x1061,x1063,x1064),f43(x1062,x1063,x1064)) % 0.96/1.06 [107]~E(x1071,x1072)+E(f43(x1073,x1071,x1074),f43(x1073,x1072,x1074)) % 0.96/1.06 [108]~E(x1081,x1082)+E(f43(x1083,x1084,x1081),f43(x1083,x1084,x1082)) % 0.96/1.06 [109]~E(x1091,x1092)+E(f47(x1091,x1093,x1094,x1095),f47(x1092,x1093,x1094,x1095)) % 0.96/1.06 [110]~E(x1101,x1102)+E(f47(x1103,x1101,x1104,x1105),f47(x1103,x1102,x1104,x1105)) % 0.96/1.06 [111]~E(x1111,x1112)+E(f47(x1113,x1114,x1111,x1115),f47(x1113,x1114,x1112,x1115)) % 0.96/1.06 [112]~E(x1121,x1122)+E(f47(x1123,x1124,x1125,x1121),f47(x1123,x1124,x1125,x1122)) % 0.96/1.06 [113]~E(x1131,x1132)+E(f36(x1131),f36(x1132)) % 0.96/1.06 [114]~E(x1141,x1142)+E(f42(x1141,x1143,x1144,x1145),f42(x1142,x1143,x1144,x1145)) % 0.96/1.06 [115]~E(x1151,x1152)+E(f42(x1153,x1151,x1154,x1155),f42(x1153,x1152,x1154,x1155)) % 0.96/1.06 [116]~E(x1161,x1162)+E(f42(x1163,x1164,x1161,x1165),f42(x1163,x1164,x1162,x1165)) % 0.96/1.06 [117]~E(x1171,x1172)+E(f42(x1173,x1174,x1175,x1171),f42(x1173,x1174,x1175,x1172)) % 0.96/1.06 [118]~E(x1181,x1182)+E(f44(x1181,x1183,x1184,x1185),f44(x1182,x1183,x1184,x1185)) % 0.96/1.06 [119]~E(x1191,x1192)+E(f44(x1193,x1191,x1194,x1195),f44(x1193,x1192,x1194,x1195)) % 0.96/1.06 [120]~E(x1201,x1202)+E(f44(x1203,x1204,x1201,x1205),f44(x1203,x1204,x1202,x1205)) % 0.96/1.06 [121]~E(x1211,x1212)+E(f44(x1213,x1214,x1215,x1211),f44(x1213,x1214,x1215,x1212)) % 0.96/1.06 [122]~E(x1221,x1222)+E(f67(x1221),f67(x1222)) % 0.96/1.06 [123]~E(x1231,x1232)+E(f38(x1231,x1233),f38(x1232,x1233)) % 0.96/1.06 [124]~E(x1241,x1242)+E(f38(x1243,x1241),f38(x1243,x1242)) % 0.96/1.06 [125]~E(x1251,x1252)+E(f6(x1251),f6(x1252)) % 0.96/1.06 [126]~E(x1261,x1262)+E(f65(x1261),f65(x1262)) % 0.96/1.06 [127]~E(x1271,x1272)+E(f54(x1271,x1273),f54(x1272,x1273)) % 0.96/1.06 [128]~E(x1281,x1282)+E(f54(x1283,x1281),f54(x1283,x1282)) % 0.96/1.06 [129]~E(x1291,x1292)+E(f66(x1291),f66(x1292)) % 0.96/1.06 [130]~P1(x1301)+P1(x1302)+~E(x1301,x1302) % 0.96/1.06 [131]~P2(x1311)+P2(x1312)+~E(x1311,x1312) % 0.96/1.06 [132]~P35(x1321)+P35(x1322)+~E(x1321,x1322) % 0.96/1.06 [133]~P3(x1331)+P3(x1332)+~E(x1331,x1332) % 0.96/1.06 [134]~P36(x1341)+P36(x1342)+~E(x1341,x1342) % 0.96/1.06 [135]~P4(x1351)+P4(x1352)+~E(x1351,x1352) % 0.96/1.06 [136]~P5(x1361)+P5(x1362)+~E(x1361,x1362) % 0.96/1.06 [137]~P37(x1371)+P37(x1372)+~E(x1371,x1372) % 0.96/1.06 [138]~P22(x1381)+P22(x1382)+~E(x1381,x1382) % 0.96/1.06 [139]~P27(x1391)+P27(x1392)+~E(x1391,x1392) % 0.96/1.06 [140]~P23(x1401)+P23(x1402)+~E(x1401,x1402) % 0.96/1.06 [141]~P29(x1411)+P29(x1412)+~E(x1411,x1412) % 0.96/1.06 [142]~P33(x1421)+P33(x1422)+~E(x1421,x1422) % 0.96/1.06 [143]~P34(x1431)+P34(x1432)+~E(x1431,x1432) % 0.96/1.06 [144]~P6(x1441)+P6(x1442)+~E(x1441,x1442) % 0.96/1.06 [145]~P31(x1451)+P31(x1452)+~E(x1451,x1452) % 0.96/1.06 [146]~P32(x1461)+P32(x1462)+~E(x1461,x1462) % 0.96/1.06 [147]~P7(x1471)+P7(x1472)+~E(x1471,x1472) % 0.96/1.06 [148]~P47(x1481)+P47(x1482)+~E(x1481,x1482) % 0.96/1.06 [149]~P48(x1491)+P48(x1492)+~E(x1491,x1492) % 0.96/1.06 [150]~P49(x1501)+P49(x1502)+~E(x1501,x1502) % 0.96/1.06 [151]~P8(x1511)+P8(x1512)+~E(x1511,x1512) % 0.96/1.06 [152]~P56(x1521)+P56(x1522)+~E(x1521,x1522) % 0.96/1.06 [153]~P30(x1531)+P30(x1532)+~E(x1531,x1532) % 0.96/1.06 [154]~P18(x1541)+P18(x1542)+~E(x1541,x1542) % 0.96/1.06 [155]~P21(x1551)+P21(x1552)+~E(x1551,x1552) % 0.96/1.06 [156]~P39(x1561)+P39(x1562)+~E(x1561,x1562) % 0.96/1.06 [157]~P41(x1571)+P41(x1572)+~E(x1571,x1572) % 0.96/1.06 [158]~P42(x1581)+P42(x1582)+~E(x1581,x1582) % 0.96/1.06 [159]~P50(x1591)+P50(x1592)+~E(x1591,x1592) % 0.96/1.06 [160]~P57(x1601)+P57(x1602)+~E(x1601,x1602) % 0.96/1.06 [161]~P43(x1611)+P43(x1612)+~E(x1611,x1612) % 0.96/1.06 [162]~P44(x1621)+P44(x1622)+~E(x1621,x1622) % 0.96/1.06 [163]~P24(x1631)+P24(x1632)+~E(x1631,x1632) % 0.96/1.06 [164]~P19(x1641)+P19(x1642)+~E(x1641,x1642) % 0.96/1.06 [165]~P38(x1651)+P38(x1652)+~E(x1651,x1652) % 0.96/1.06 [166]P13(x1662,x1663,x1664)+~E(x1661,x1662)+~P13(x1661,x1663,x1664) % 0.96/1.06 [167]P13(x1673,x1672,x1674)+~E(x1671,x1672)+~P13(x1673,x1671,x1674) % 0.96/1.06 [168]P13(x1683,x1684,x1682)+~E(x1681,x1682)+~P13(x1683,x1684,x1681) % 0.96/1.06 [169]P11(x1692,x1693,x1694)+~E(x1691,x1692)+~P11(x1691,x1693,x1694) % 0.96/1.06 [170]P11(x1703,x1702,x1704)+~E(x1701,x1702)+~P11(x1703,x1701,x1704) % 0.96/1.06 [171]P11(x1713,x1714,x1712)+~E(x1711,x1712)+~P11(x1713,x1714,x1711) % 0.96/1.06 [172]P9(x1722,x1723,x1724)+~E(x1721,x1722)+~P9(x1721,x1723,x1724) % 0.96/1.06 [173]P9(x1733,x1732,x1734)+~E(x1731,x1732)+~P9(x1733,x1731,x1734) % 0.96/1.06 [174]P9(x1743,x1744,x1742)+~E(x1741,x1742)+~P9(x1743,x1744,x1741) % 0.96/1.06 [175]~P46(x1751)+P46(x1752)+~E(x1751,x1752) % 0.96/1.06 [176]P14(x1762,x1763,x1764)+~E(x1761,x1762)+~P14(x1761,x1763,x1764) % 0.96/1.06 [177]P14(x1773,x1772,x1774)+~E(x1771,x1772)+~P14(x1773,x1771,x1774) % 0.96/1.06 [178]P14(x1783,x1784,x1782)+~E(x1781,x1782)+~P14(x1783,x1784,x1781) % 0.96/1.06 [179]~P51(x1791)+P51(x1792)+~E(x1791,x1792) % 0.96/1.06 [180]P10(x1802,x1803,x1804,x1805,x1806,x1807)+~E(x1801,x1802)+~P10(x1801,x1803,x1804,x1805,x1806,x1807) % 0.96/1.06 [181]P10(x1813,x1812,x1814,x1815,x1816,x1817)+~E(x1811,x1812)+~P10(x1813,x1811,x1814,x1815,x1816,x1817) % 0.96/1.06 [182]P10(x1823,x1824,x1822,x1825,x1826,x1827)+~E(x1821,x1822)+~P10(x1823,x1824,x1821,x1825,x1826,x1827) % 0.96/1.06 [183]P10(x1833,x1834,x1835,x1832,x1836,x1837)+~E(x1831,x1832)+~P10(x1833,x1834,x1835,x1831,x1836,x1837) % 0.96/1.06 [184]P10(x1843,x1844,x1845,x1846,x1842,x1847)+~E(x1841,x1842)+~P10(x1843,x1844,x1845,x1846,x1841,x1847) % 0.96/1.06 [185]P10(x1853,x1854,x1855,x1856,x1857,x1852)+~E(x1851,x1852)+~P10(x1853,x1854,x1855,x1856,x1857,x1851) % 0.96/1.06 [186]~P16(x1861)+P16(x1862)+~E(x1861,x1862) % 0.96/1.06 [187]~P58(x1871)+P58(x1872)+~E(x1871,x1872) % 0.96/1.06 [188]~P55(x1881)+P55(x1882)+~E(x1881,x1882) % 0.96/1.06 [189]P12(x1892,x1893)+~E(x1891,x1892)+~P12(x1891,x1893) % 0.96/1.06 [190]P12(x1903,x1902)+~E(x1901,x1902)+~P12(x1903,x1901) % 0.96/1.06 [191]~P26(x1911)+P26(x1912)+~E(x1911,x1912) % 0.96/1.06 [192]~P28(x1921)+P28(x1922)+~E(x1921,x1922) % 0.96/1.06 [193]~P40(x1931)+P40(x1932)+~E(x1931,x1932) % 0.96/1.06 [194]~P45(x1941)+P45(x1942)+~E(x1941,x1942) % 0.96/1.06 [195]~P17(x1951)+P17(x1952)+~E(x1951,x1952) % 0.96/1.06 [196]~P20(x1961)+P20(x1962)+~E(x1961,x1962) % 0.96/1.06 [197]~P25(x1971)+P25(x1972)+~E(x1971,x1972) % 0.96/1.06 [198]P15(x1982,x1983,x1984)+~E(x1981,x1982)+~P15(x1981,x1983,x1984) % 0.96/1.06 [199]P15(x1993,x1992,x1994)+~E(x1991,x1992)+~P15(x1993,x1991,x1994) % 0.96/1.06 [200]P15(x2003,x2004,x2002)+~E(x2001,x2002)+~P15(x2003,x2004,x2001) % 0.96/1.06 [201]~P52(x2011)+P52(x2012)+~E(x2011,x2012) % 0.96/1.06 [202]~P54(x2021)+P54(x2022)+~E(x2021,x2022) % 0.96/1.06 [203]~P53(x2031)+P53(x2032)+~E(x2031,x2032) % 0.96/1.06 % 0.96/1.06 %------------------------------------------- % 0.96/1.06 cnf(1182,plain, % 0.96/1.06 (~P13(x11821,x11821,a2)+E(x11823,f51(f51(f4(a2),f7(f5(x11821,x11821,a2),x11822,a2)),x11823))), % 0.96/1.06 inference(equality_inference,[],[1035])). % 0.96/1.06 cnf(1183,plain, % 0.96/1.06 (~P13(x11831,x11831,a2)+E(f51(f51(f4(a2),f7(f5(x11831,x11831,a2),x11832,a2)),x11833),x11833)), % 0.96/1.06 inference(equality_inference,[],[1036])). % 0.96/1.06 cnf(1192,plain, % 0.96/1.06 (~E(f32(x11921),x11921)), % 0.96/1.06 inference(rename_variables,[],[391])). % 0.96/1.06 cnf(1195,plain, % 0.96/1.06 (~E(f32(x11951),x11951)), % 0.96/1.06 inference(rename_variables,[],[391])). % 0.96/1.06 cnf(1198,plain, % 0.96/1.06 (~E(f32(x11981),x11981)), % 0.96/1.06 inference(rename_variables,[],[391])). % 0.96/1.06 cnf(1201,plain, % 0.96/1.06 (~E(f32(x12011),x12011)), % 0.96/1.06 inference(rename_variables,[],[391])). % 0.96/1.06 cnf(1209,plain, % 0.96/1.06 (~E(f51(f51(a48,x12091),x12092),f34(x12093))), % 0.96/1.06 inference(rename_variables,[],[404])). % 0.96/1.06 cnf(1214,plain, % 0.96/1.06 (P11(x12141,f9(x12142),f51(x12141,x12142))), % 0.96/1.06 inference(rename_variables,[],[293])). % 0.96/1.06 cnf(1223,plain, % 0.96/1.06 (~E(f51(f51(a11,x12231),x12232),f10(x12233))), % 0.96/1.06 inference(rename_variables,[],[402])). % 0.96/1.06 cnf(1226,plain, % 0.96/1.06 (~E(f51(f51(a48,x12261),x12262),f34(x12263))), % 0.96/1.06 inference(rename_variables,[],[404])). % 0.96/1.06 cnf(1229,plain, % 0.96/1.06 (~E(f51(f51(a11,x12291),x12292),f10(x12293))), % 0.96/1.06 inference(rename_variables,[],[402])). % 0.96/1.06 cnf(1232,plain, % 0.96/1.06 (~E(f51(f51(a48,x12321),x12322),f34(x12323))), % 0.96/1.06 inference(rename_variables,[],[404])). % 0.96/1.06 cnf(1248,plain, % 0.96/1.06 (~P9(f51(f51(f4(a2),x12481),x12482),x12482,a2)), % 0.96/1.06 inference(rename_variables,[],[416])). % 0.96/1.06 cnf(1256,plain, % 0.96/1.06 (~P9(f51(f51(f4(a2),x12561),x12562),x12562,a2)), % 0.96/1.06 inference(rename_variables,[],[416])). % 0.96/1.06 cnf(1259,plain, % 0.96/1.06 (~P9(f51(f51(f4(a2),x12591),x12592),x12592,a2)), % 0.96/1.06 inference(rename_variables,[],[416])). % 0.96/1.06 cnf(1262,plain, % 0.96/1.06 (~P13(f32(x12621),x12621,a2)), % 0.96/1.06 inference(rename_variables,[],[414])). % 0.96/1.06 cnf(1265,plain, % 0.96/1.06 (P9(x12651,f32(x12651),a2)), % 0.96/1.06 inference(rename_variables,[],[268])). % 0.96/1.06 cnf(1268,plain, % 0.96/1.06 (P13(x12681,f7(x12681,x12681,a2),a2)), % 0.96/1.06 inference(rename_variables,[],[310])). % 0.96/1.06 cnf(1271,plain, % 0.96/1.06 (P13(x12711,f7(x12711,x12711,a2),a2)), % 0.96/1.06 inference(rename_variables,[],[310])). % 0.96/1.06 cnf(1279,plain, % 0.96/1.06 (P13(x12791,f7(x12791,x12791,a2),a2)), % 0.96/1.06 inference(rename_variables,[],[310])). % 0.96/1.06 cnf(1282,plain, % 0.96/1.06 (~P9(f51(f51(f4(a2),x12821),x12822),x12822,a2)), % 0.96/1.06 inference(rename_variables,[],[416])). % 0.96/1.06 cnf(1288,plain, % 0.96/1.06 (~P13(f32(x12881),x12881,a2)), % 0.96/1.06 inference(rename_variables,[],[414])). % 0.96/1.06 cnf(1291,plain, % 0.96/1.06 (~P13(f32(x12911),x12911,a2)), % 0.96/1.06 inference(rename_variables,[],[414])). % 0.96/1.06 cnf(1301,plain, % 0.96/1.06 (P13(x13011,f7(x13011,x13011,a2),a2)), % 0.96/1.06 inference(rename_variables,[],[310])). % 0.96/1.06 cnf(1307,plain, % 0.96/1.06 (~P9(x13071,x13071,a2)), % 0.96/1.06 inference(rename_variables,[],[406])). % 0.96/1.06 cnf(1310,plain, % 0.96/1.06 (~P9(x13101,x13101,a2)), % 0.96/1.06 inference(rename_variables,[],[406])). % 0.96/1.06 cnf(1324,plain, % 0.96/1.06 (~P9(x13241,x13241,a2)), % 0.96/1.06 inference(rename_variables,[],[406])). % 0.96/1.06 cnf(1327,plain, % 0.96/1.06 (~P9(x13271,x13271,a2)), % 0.96/1.06 inference(rename_variables,[],[406])). % 0.96/1.06 cnf(1333,plain, % 0.96/1.06 ($false), % 0.96/1.06 inference(scs_inference,[],[420,248,293,1214,255,362,382,381,305,402,1223,1229,404,1209,1226,1232,252,406,1307,1310,1324,1327,391,1192,1195,1198,1201,268,1265,414,1262,1288,1291,310,1268,1271,1279,1301,312,416,1248,1256,1259,1282,324,326,469,476,477,486,494,495,515,910,1006,1018,1080,1081,1082,1097,1098,1100,1101,1104,1105,1182,1183,2,506,519,552,557,558,559,561,566,568,569,600,624,625,665,667,669,671,693,696,729,730,731,755,756,758,859,860,863,864,934,935,169,171]), % 0.96/1.06 ['proof']). % 0.96/1.06 % SZS output end Proof % 0.96/1.06 % Total time :0.167863s %------------------------------------------------------------------------------