%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL815-1 : 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 : n012.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 0.33s 0.60s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL815-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.01 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.02/0.28 % Computer : n012.cluster.edu % 0.02/0.28 % Model : x86_64 x86_64 % 0.02/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.02/0.28 % Memory : 8046.5625MB % 0.02/0.28 % OS : Linux 6.8.0-71-generic % 0.02/0.28 % CPULimit : 300 % 0.02/0.28 % WCLimit : 300 % 0.02/0.28 % DateTime : Sat Sep 5 17:20:27 UTC 2026 % 0.02/0.29 % CPUTime : % 0.10/0.40 start to proof:theBenchmark % 0.33/0.56 %------------------------------------------- % 0.33/0.56 % File :CSE---1.7 % 0.33/0.56 % Problem :theBenchmark % 0.33/0.56 % Transform :cnf % 0.33/0.56 % Format :tptp:raw % 0.33/0.56 % Command :java -jar mcs_scs.jar %d %s % 0.33/0.56 % 0.33/0.56 % Result :Theorem 0.040525s % 0.33/0.56 % Output :CNFRefutation 0.040525s % 0.33/0.56 %------------------------------------------- % 0.33/0.56 %------------------------------------------------------------------------------ % 0.33/0.56 % File : LCL815-1 : TPTP v9.3.1. Released v4.1.0. % 0.33/0.56 % Domain : Logic Calculi % 0.33/0.56 % Problem : Strong normalization of typed lambda calculus 180_15 % 0.33/0.56 % Version : Especial. % 0.33/0.56 % English : % 0.33/0.56 % 0.33/0.56 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.33/0.56 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.33/0.56 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.33/0.56 % Source : [Nip10] % 0.33/0.56 % Names : StrongNorm-180_15 [Nip10] % 0.33/0.56 % 0.33/0.56 % Status : Unsatisfiable % 0.33/0.56 % Rating : 0.17 v9.3.0, 0.09 v9.1.0, 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.36 v4.1.0 % 0.33/0.56 % Syntax : Number of clauses : 817 ( 258 unt; 72 nHn; 404 RR) % 0.33/0.56 % Number of literals : 1726 ( 616 equ; 878 neg) % 0.33/0.56 % Maximal clause size : 6 ( 2 avg) % 0.33/0.56 % Maximal term depth : 8 ( 2 avg) % 0.33/0.56 % Number of predicates : 44 ( 43 usr; 0 prp; 1-6 aty) % 0.33/0.56 % Number of functors : 66 ( 66 usr; 20 con; 0-6 aty) % 0.33/0.56 % Number of variables : 2547 ( 479 sgn) % 0.33/0.56 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.33/0.56 % 0.33/0.56 % Comments : % 0.33/0.56 %------------------------------------------------------------------------------ % 0.33/0.56 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.33/0.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.56 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.33/0.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.56 % 0.33/0.56 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.33/0.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.56 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.33/0.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.33/0.56 % 0.33/0.56 cnf(cls_less__Suc0_0,axiom, % 0.33/0.56 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.56 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 0.33/0.56 % 0.33/0.56 cnf(cls_max__Suc__Suc_0,axiom, % 0.33/0.57 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)) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_Suc__eq__plus1_0,axiom, % 0.33/0.57 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_Suc__eq__plus1__left_0,axiom, % 0.33/0.57 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_of__nat__le__iff_1,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.57 | 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) % 0.33/0.57 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_of__nat__le__iff_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.57 | c_lessequals(V_m,V_n,tc_nat) % 0.33/0.57 | ~ 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) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__is__1_4,axiom, % 0.33/0.57 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)) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_list_Osize_I4_J_0,axiom, % 0.33/0.57 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_list,tc_List_Olist(T_a))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_lem0_0,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) % 0.33/0.57 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__strict__increasing_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.57 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.57 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.33/0.57 | ~ c_lessequals(V_b,V_c,T_a) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_listsp_ONil_0,axiom, % 0.33/0.57 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_replicate__eq__replicate_0,axiom, % 0.33/0.57 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.33/0.57 | V_m = V_n ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_drop__append_0,axiom, % 0.33/0.57 c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_diff__Suc__diff__eq2_0,axiom, % 0.33/0.57 ( 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) % 0.33/0.57 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__same__eq_0,axiom, % 0.33/0.57 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) % 0.33/0.57 | V_ys = V_zs ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_same__append__eq_0,axiom, % 0.33/0.57 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) % 0.33/0.57 | V_ys = V_zs ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_max__less__iff__conj_2,axiom, % 0.33/0.57 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.57 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_diff__is__0__eq_0,axiom, % 0.33/0.57 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.57 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_diff__is__0__eq_1,axiom, % 0.33/0.57 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.57 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_zero__le__power_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.57 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.33/0.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_nat_Oinduct_1,axiom, % 0.33/0.57 ( hBOOL(hAPP(V_P,V_nat)) % 0.33/0.57 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinduct__1(V_P)))) % 0.33/0.57 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_take__eq__Nil_2,axiom, % 0.33/0.57 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__eq__append__conv__if_3,axiom, % 0.33/0.57 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) % 0.33/0.57 | c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a) = V_ys_092_060_094isub_0622 % 0.33/0.57 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_one__le__power_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.57 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.33/0.57 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_power__0__Suc_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.33/0.57 | ~ class_Power_Opower(T_a) % 0.33/0.57 | 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) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__Suc__right_0,axiom, % 0.33/0.57 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)) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__Suc_0,axiom, % 0.33/0.57 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)) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_rev__update_0,axiom, % 0.33/0.57 ( c_List_Orev(c_List_Olist__update(V_xs,V_k,V_y,T_a),T_a) = c_List_Olist__update(c_List_Orev(V_xs,T_a),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_k,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_y,T_a) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_k,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_infinite__descent0_2,axiom, % 0.33/0.57 ( hBOOL(hAPP(V_P,V_n)) % 0.33/0.57 | hBOOL(hAPP(V_P,V_x)) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_x,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat) % 0.33/0.57 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__add__Suc1_0,axiom, % 0.33/0.57 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__add__Suc2_0,axiom, % 0.33/0.57 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__iff__Suc__add_1,axiom, % 0.33/0.57 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_le__diff__conv2_0,axiom, % 0.33/0.57 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.33/0.57 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.33/0.57 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_le__diff__conv2_1,axiom, % 0.33/0.57 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.33/0.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.33/0.57 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.33/0.57 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.57 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.33/0.57 | ~ c_lessequals(V_y,V_z,T_a) % 0.33/0.57 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_min__max_Osup__least_0,axiom, % 0.33/0.57 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.57 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.33/0.57 | ~ c_lessequals(V_z,V_x,T_a) % 0.33/0.57 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_min__max_Ole__supI_0,axiom, % 0.33/0.57 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.57 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.33/0.57 | ~ c_lessequals(V_b,V_x,T_a) % 0.33/0.57 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_le__maxI1_0,axiom, % 0.33/0.57 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.57 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_le__maxI2_0,axiom, % 0.33/0.57 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.57 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__Nil2_0,axiom, % 0.33/0.57 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 0.33/0.57 % 0.33/0.57 cnf(cls_eq__Nil__appendI_0,axiom, % 0.33/0.57 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_self__append__conv_1,axiom, % 0.33/0.57 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__Nil_0,axiom, % 0.33/0.57 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 0.33/0.57 % 0.33/0.57 cnf(cls_self__append__conv2_1,axiom, % 0.33/0.57 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_bot__least_0,axiom, % 0.33/0.57 ( ~ class_Orderings_Obot(T_a) % 0.33/0.57 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_distinct__append_0,axiom, % 0.33/0.57 ( c_List_Odistinct(V_xs,T_a) % 0.33/0.57 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_distinct__append_1,axiom, % 0.33/0.57 ( c_List_Odistinct(V_ys,T_a) % 0.33/0.57 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_rev__swap_0,axiom, % 0.33/0.57 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_rev__swap_1,axiom, % 0.33/0.57 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ). % 0.33/0.57 % 0.33/0.57 cnf(cls_rev__rev__ident_0,axiom, % 0.33/0.57 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ). % 0.33/0.57 % 0.33/0.57 cnf(cls_power__strict__decreasing_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.57 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__eq__conv__conj_0,axiom, % 0.33/0.57 V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__increasing_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.57 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.57 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.33/0.57 | ~ c_lessequals(V_b,V_c,T_a) % 0.33/0.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__increasing2_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.57 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.57 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.33/0.57 | ~ c_lessequals(V_b,V_a,T_a) % 0.33/0.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_upt_Oinduct_1,axiom, % 0.33/0.57 ( hBOOL(hAPP(V_P,V_nat)) % 0.33/0.57 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xupt__Xinduct__1(V_P)))) % 0.33/0.57 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_type_Osimps_I1_J_0,axiom, % 0.33/0.57 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H) % 0.33/0.57 | V_nat = V_nat_H ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_Suc__leI_0,axiom, % 0.33/0.57 ( c_lessequals(c_Suc(V_m),V_n,tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_Suc__le__eq_0,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.57 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__eq__Suc__le_0,axiom, % 0.33/0.57 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__eq__Suc__le_1,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.33/0.57 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__lessD1_0,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_trans__less__add1_0,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_trans__less__add2_0,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_power__decreasing_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.57 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.33/0.57 | ~ c_lessequals(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.33/0.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.33/0.57 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_diff__Suc__1_0,axiom, % 0.33/0.57 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ). % 0.33/0.57 % 0.33/0.57 cnf(cls_Suc__diff__le_0,axiom, % 0.33/0.57 ( 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)) % 0.33/0.57 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_substn_Osimps_I3_J_0,axiom, % 0.33/0.57 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.57 | 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) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.57 | 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) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_nat__add__commute_0,axiom, % 0.33/0.57 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) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__add__eq__less_0,axiom, % 0.33/0.57 ( 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) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.33/0.57 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.33/0.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.57 | 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) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_foldl__assoc_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.33/0.57 | 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)) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_rev__replicate_0,axiom, % 0.33/0.57 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_diff__less__mono2_0,axiom, % 0.33/0.57 ( 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) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_of__nat__eq__iff_0,axiom, % 0.33/0.57 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.33/0.57 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.33/0.57 | V_m = V_n ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_rev__singleton__conv_0,axiom, % 0.33/0.57 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) % 0.33/0.57 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_typing__elims_I1_J_0,axiom, % 0.33/0.57 ( hAPP(V_e,V_i) = V_T % 0.33/0.57 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_take__Suc__Cons_0,axiom, % 0.33/0.57 c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_le__max__iff__disj_0,axiom, % 0.33/0.57 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.57 | c_lessequals(V_z,V_y,T_a) % 0.33/0.57 | c_lessequals(V_z,V_x,T_a) % 0.33/0.57 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__in__listsp__conv_1,axiom, % 0.33/0.57 ( c_List_Olistsp(V_A,V_ys,T_a) % 0.33/0.57 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__in__listsp__conv_0,axiom, % 0.33/0.57 ( c_List_Olistsp(V_A,V_xs,T_a) % 0.33/0.57 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_subst__Var_2,axiom, % 0.33/0.57 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i) % 0.33/0.57 | V_i = V_k % 0.33/0.57 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_diff__add__cancel_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.33/0.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_Suc__length__conv_2,axiom, % 0.33/0.57 c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_nat__diff__split__asm_1,axiom, % 0.33/0.57 ( ~ 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))) % 0.33/0.57 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_nat__diff__split_1,axiom, % 0.33/0.57 ( ~ 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))) % 0.33/0.57 | hBOOL(hAPP(V_P,V_d)) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_take__1__Cons_0,axiom, % 0.33/0.57 c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_singleton__rev__conv_0,axiom, % 0.33/0.57 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a) % 0.33/0.57 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__le__mono_0,axiom, % 0.33/0.57 ( 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) % 0.33/0.57 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.33/0.57 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__mono_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.33/0.57 | 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) % 0.33/0.57 | ~ c_lessequals(V_c,V_d,T_a) % 0.33/0.57 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_length__Suc__conv_2,axiom, % 0.33/0.57 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_list__update__append_1,axiom, % 0.33/0.57 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(V_xs,c_List_Olist__update(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_x,T_a),T_a) % 0.33/0.57 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_take__all_0,axiom, % 0.33/0.57 ( c_List_Otake(V_n,V_xs,T_a) = V_xs % 0.33/0.57 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__Suc__eq__le_1,axiom, % 0.33/0.57 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.33/0.57 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_less__Suc__eq__le_0,axiom, % 0.33/0.57 ( c_lessequals(V_m,V_n,tc_nat) % 0.33/0.57 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_le__less__Suc__eq_1,axiom, % 0.33/0.57 ( ~ c_lessequals(V_x,V_x,tc_nat) % 0.33/0.57 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_listsum_0,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.57 | 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) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_append__eq__append__conv__if_5,axiom, % 0.33/0.57 ( V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a) % 0.33/0.57 | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) % 0.33/0.57 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.33/0.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.57 | 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) ) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_diff__less__Suc_0,axiom, % 0.33/0.57 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 0.33/0.57 % 0.33/0.57 cnf(cls_drop__take_0,axiom, % 0.33/0.57 c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a) ). % 0.33/0.57 % 0.33/0.58 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.58 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_power__Suc__less__one_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_order__less__trans_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_xt1_I10_J_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.33/0.58 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.33/0.58 | c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.33/0.58 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.58 | 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__cancel__21_1,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.33/0.58 | 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)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_nat__add__left__commute_0,axiom, % 0.33/0.58 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)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_nat__add__assoc_0,axiom, % 0.33/0.58 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)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.58 | 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)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.58 | 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)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.33/0.58 | 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)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.58 | 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.58 | 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.58 | 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)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.58 | 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)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__gr__0_0,axiom, % 0.33/0.58 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.33/0.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.33/0.58 | ~ 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_drop__Cons_H_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_take__drop_0,axiom, % 0.33/0.58 c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(V_m,c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_xs,T_a),T_a) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_replicate__Suc_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__cancel__21_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_trans__le__add2_0,axiom, % 0.33/0.58 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.33/0.58 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_trans__le__add1_0,axiom, % 0.33/0.58 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.33/0.58 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__leE_1,axiom, % 0.33/0.58 ( c_lessequals(V_k,V_n,tc_nat) % 0.33/0.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__leE_0,axiom, % 0.33/0.58 ( c_lessequals(V_m,V_n,tc_nat) % 0.33/0.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_termination__basic__simps_I4_J_0,axiom, % 0.33/0.58 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.33/0.58 | ~ c_lessequals(V_x,V_z,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_termination__basic__simps_I3_J_0,axiom, % 0.33/0.58 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.33/0.58 | ~ c_lessequals(V_x,V_y,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_rev__take_0,axiom, % 0.33/0.58 c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_lift_Osimps_I1_J_1,axiom, % 0.33/0.58 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat))) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_power__one_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.33/0.58 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_max__diff__distrib__left_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.58 | 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_COMBK__def_0,axiom, % 0.33/0.58 hAPP(c_COMBK(V_P,T_a,T_b),V_Q) = V_P ). % 0.33/0.58 % 0.33/0.58 cnf(cls_rev__drop_0,axiom, % 0.33/0.58 c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_not__leE_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.58 | c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | ~ c_lessequals(V_x,V_x,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.33/0.58 | c_lessequals(V_x,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__not__less_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.58 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__not__less_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_y,V_x,T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__not__le_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | ~ c_lessequals(V_x,V_y,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__not__le_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.33/0.58 | c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__le__not__le_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.58 | ~ c_lessequals(V_y,V_x,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_infinite__descent0_0,axiom, % 0.33/0.58 ( hBOOL(hAPP(V_P,V_n)) % 0.33/0.58 | 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) % 0.33/0.58 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_subst__Var_1,axiom, % 0.33/0.58 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.33/0.58 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_type__induct_2,axiom, % 0.33/0.58 ( hBOOL(hAPP(V_P,V_T)) % 0.33/0.58 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_one__is__add_5,axiom, % 0.33/0.58 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))) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__strict__increasing2_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.58 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_power__increasing_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.33/0.58 | ~ c_lessequals(V_n,V_N,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__le__mono2_0,axiom, % 0.33/0.58 ( 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) % 0.33/0.58 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__le__mono_0,axiom, % 0.33/0.58 ( 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) % 0.33/0.58 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__diff__iff_1,axiom, % 0.33/0.58 ( 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) % 0.33/0.58 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.33/0.58 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.33/0.58 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__diff__iff_0,axiom, % 0.33/0.58 ( c_lessequals(V_m,V_n,tc_nat) % 0.33/0.58 | ~ 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) % 0.33/0.58 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.33/0.58 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__add__0_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__diff__left_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_power__mono_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.33/0.58 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_of__nat__1_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.33/0.58 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_eq__eqI_1,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.33/0.58 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.33/0.58 | V_xa = V_y ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_eq__eqI_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.33/0.58 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.33/0.58 | V_x_H = V_y_H ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_eq__diff__iff_0,axiom, % 0.33/0.58 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat) % 0.33/0.58 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.33/0.58 | ~ c_lessequals(V_k,V_m,tc_nat) % 0.33/0.58 | V_m = V_n ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_rev_Osimps_I2_J_0,axiom, % 0.33/0.58 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_one__is__add_3,axiom, % 0.33/0.58 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.33/0.58 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.58 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_one__is__add_0,axiom, % 0.33/0.58 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.33/0.58 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.58 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_of__nat__Suc_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.33/0.58 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_foldl__Cons_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__Suc__shift_0,axiom, % 0.33/0.58 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)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_drop__Suc__Cons_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__cancel2_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__cancel_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_zero__less__Suc_0,axiom, % 0.33/0.58 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_gr0__conv__Suc_1,axiom, % 0.33/0.58 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_rev__singleton__conv_1,axiom, % 0.33/0.58 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_rev__eq__Cons__iff_0,axiom, % 0.33/0.58 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) % 0.33/0.58 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__max__iff__disj_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__max__iff__disj_2,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_max__less__iff__conj_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_drop__Nil_0,axiom, % 0.33/0.58 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_gb__semiring_Omul__pwr_0,axiom, % 0.33/0.58 ( 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)) % 0.33/0.58 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_liftn__lift_0,axiom, % 0.33/0.58 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = hAPP(hAPP(c_Lambda_Olift,c_Lambda_Oliftn(V_n,V_t,V_k)),V_k) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Var__IT_0,axiom, % 0.33/0.58 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_append__eq__append__conv__if_1,axiom, % 0.33/0.58 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) % 0.33/0.58 | V_xs_092_060_094isub_0622 = c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a) % 0.33/0.58 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_o__apply_0,axiom, % 0.33/0.58 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_o__eq__dest__lhs_0,axiom, % 0.33/0.58 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.33/0.58 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.33/0.58 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Suc__inject_0,axiom, % 0.33/0.58 ( c_Suc(V_x) != c_Suc(V_y) % 0.33/0.58 | V_x = V_y ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_nat_Oinject_0,axiom, % 0.33/0.58 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.33/0.58 | V_nat = V_nat_H ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_take__add_0,axiom, % 0.33/0.58 ( c_List_Otake(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_xs,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Otake(V_j,c_List_Odrop(V_i,V_xs,T_a),T_a),T_a) % 0.33/0.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_foldr__conv__foldl_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.33/0.58 | 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_One__nat__def_0,axiom, % 0.33/0.58 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.33/0.58 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.58 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_power__one__right_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.33/0.58 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__Suc0_1,axiom, % 0.33/0.58 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.58 | ~ 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_even__less__0__iff_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.58 | ~ 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_even__less__0__iff_1,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_one__is__add_1,axiom, % 0.33/0.58 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.33/0.58 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.58 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_one__is__add_2,axiom, % 0.33/0.58 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.33/0.58 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.58 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_power__less__imp__less__base_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.58 | ~ 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_foldl__absorb0_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.58 | 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_y,V_z,T_a) % 0.33/0.58 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_x,V_z,T_a) % 0.33/0.58 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__max__iff__disj_2,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.33/0.58 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__max__iff__disj_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.33/0.58 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.33/0.58 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.33/0.58 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__supE_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_b,V_x,T_a) % 0.33/0.58 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_min__max_Ole__supE_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_lessequals(V_a,V_x,T_a) % 0.33/0.58 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__diff__conv_0,axiom, % 0.33/0.58 ( c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__diff__conv_1,axiom, % 0.33/0.58 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) % 0.33/0.58 | ~ c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_zero__less__power_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__max__iff__disj_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Beta_0,axiom, % 0.33/0.58 ( hBOOL(hAPP(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))) % 0.33/0.58 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s)) % 0.33/0.58 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_foldl__Nil_0,axiom, % 0.33/0.58 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ). % 0.33/0.58 % 0.33/0.58 cnf(cls_substn_Osimps_I1_J_2,axiom, % 0.33/0.58 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.33/0.58 | V_i = V_k % 0.33/0.58 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_not__one__less__zero_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Var__apps__neq__Abs__apps_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Nil__is__append__conv_0,axiom, % 0.33/0.58 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.33/0.58 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Nil__is__append__conv_1,axiom, % 0.33/0.58 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.33/0.58 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.33/0.58 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.33/0.58 | V_dB = V_dB_H ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_impossible__Cons_0,axiom, % 0.33/0.58 ~ c_lessequals(c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_ys,T_a),tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_append__eq__append__conv__if_4,axiom, % 0.33/0.58 ( c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621 % 0.33/0.58 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) % 0.33/0.58 | c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),V_xs_092_060_094isub_0622,T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_append__is__Nil__conv_0,axiom, % 0.33/0.58 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.58 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_append__is__Nil__conv_1,axiom, % 0.33/0.58 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.58 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_length__0__conv_1,axiom, % 0.33/0.58 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_append__eq__conv__conj_2,axiom, % 0.33/0.58 ( V_xs != c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a) % 0.33/0.58 | c_List_Oappend(V_xs,c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a),T_a) = V_zs ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__Suc__Suc_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.33/0.58 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__nonpos__neg_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.58 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__neg__nonpos_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__SucE_0,axiom, % 0.33/0.58 ( V_m = V_n % 0.33/0.58 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__antisym_0,axiom, % 0.33/0.58 ( V_m = V_n % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_not__less__less__Suc__eq_0,axiom, % 0.33/0.58 ( V_n = V_m % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__add__assoc_0,axiom, % 0.33/0.58 ( 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)) % 0.33/0.58 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__add__assoc2_0,axiom, % 0.33/0.58 ( 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) % 0.33/0.58 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_zero__le__one_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_list__update__append_0,axiom, % 0.33/0.58 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_list__update__append1_0,axiom, % 0.33/0.58 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__diff__right_0,axiom, % 0.33/0.58 ( 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) % 0.33/0.58 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__eq__if_1,axiom, % 0.33/0.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),V_n)) % 0.33/0.58 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__imp__diff__less_0,axiom, % 0.33/0.58 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Var__eq__apps__conv_0,axiom, % 0.33/0.58 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.33/0.58 | c_Lambda_OdB_OVar(V_m) = V_s ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_type_Orecs_I1_J_0,axiom, % 0.33/0.58 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_apps__preserves__beta_0,axiom, % 0.33/0.58 ( 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)) % 0.33/0.58 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_length__rotate_0,axiom, % 0.33/0.58 c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_empty__replicate_1,axiom, % 0.33/0.58 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_one__is__add_4,axiom, % 0.33/0.58 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)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__le__not__le_2,axiom, % 0.33/0.58 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.58 | c_lessequals(V_y,V_x,T_a) % 0.33/0.58 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_nat__less__le_1,axiom, % 0.33/0.58 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_less__not__refl_0,axiom, % 0.33/0.58 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_order__less__le_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__neq__iff_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_order__less__irrefl_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__imp__diff__is__add_1,axiom, % 0.33/0.58 ( ~ c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),tc_nat) % 0.33/0.58 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),V_i,tc_nat) = V_k ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_liftn_Osimps_I1_J_1,axiom, % 0.33/0.58 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_n)) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_beta_0,axiom, % 0.33/0.58 c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_length__append_0,axiom, % 0.33/0.58 c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a))) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_length__drop_0,axiom, % 0.33/0.58 c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__pos__pos_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__add1_0,axiom, % 0.33/0.58 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__add2_0,axiom, % 0.33/0.58 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__iff__add_1,axiom, % 0.33/0.58 c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x),tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_nat__minus__add__max_0,axiom, % 0.33/0.58 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) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_take__Cons_H_1,axiom, % 0.33/0.58 ( c_List_Otake(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a) % 0.33/0.58 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_not__one__le__zero_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_listsum_Osimps_I2_J_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.58 | 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)) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_liftn_Osimps_I3_J_0,axiom, % 0.33/0.58 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_gb__semiring_Osemiring__rules_I33_J_0,axiom, % 0.33/0.58 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Oone__class_Oone(tc_nat)) = V_x % 0.33/0.58 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.58 | V_x = V_y ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | V_x = V_y % 0.33/0.58 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_le__antisym_0,axiom, % 0.33/0.58 ( V_m = V_n % 0.33/0.58 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.33/0.58 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_nat__neq__iff_0,axiom, % 0.33/0.58 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.58 | V_m = V_n ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_nat__less__cases_0,axiom, % 0.33/0.58 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.33/0.58 | V_m = V_n % 0.33/0.58 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_var__app__type__eq_0,axiom, % 0.33/0.58 ( V_T = V_U % 0.33/0.58 | ~ 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) % 0.33/0.58 | ~ 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) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_max__less__iff__conj_1,axiom, % 0.33/0.58 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_listsum_Osimps_I1_J_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.58 | c_List_Olistsum(c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_one__less__power_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_rotate__length01_0,axiom, % 0.33/0.58 ( c_List_Orotate(V_n,V_xs,T_a) = V_xs % 0.33/0.58 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_lift__subst__lt_0,axiom, % 0.33/0.58 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat))) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_diff__le__self_0,axiom, % 0.33/0.58 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_typing_OVar_0,axiom, % 0.33/0.58 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_Abs__eq__apps__conv_0,axiom, % 0.33/0.58 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.33/0.58 | c_Lambda_OdB_OAbs(V_r) = V_s ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_add__neg__neg_0,axiom, % 0.33/0.58 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.58 % 0.33/0.58 cnf(cls_power__strict__mono_0,axiom, % 0.33/0.58 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.58 | 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) % 0.33/0.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.33/0.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__eq__Cons__conv_5,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__Cons_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__eq__conv__conj_1,axiom, % 0.33/0.59 V_ys = c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Nat_Odiff__diff__eq_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__commute_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_take__eq__Nil_0,axiom, % 0.33/0.59 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_map__replicate__const_0,axiom, % 0.33/0.59 c_List_Omap(c_COMBK(V_k,T_a,T_b),V_lst,T_b,T_a) = c_List_Oreplicate(c_Nat_Osize__class_Osize(V_lst,tc_List_Olist(T_b)),V_k,T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__nonneg__pos_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__pos__nonneg_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__nonempty_1,axiom, % 0.33/0.59 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__code_I1_J_0,axiom, % 0.33/0.59 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update_Osimps_I1_J_0,axiom, % 0.33/0.59 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__less__mono_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_c,V_a,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__lessI_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 0.33/0.59 | c_Suc(V_m) = V_n % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__less__eq__eq_1,axiom, % 0.33/0.59 ( ~ c_lessequals(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__less__eq__eq_0,axiom, % 0.33/0.59 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.33/0.59 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_y = V_z ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__add__right__cancel_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_m = V_n ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__add__left__cancel_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_m = V_n ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.33/0.59 | ~ class_Int_Onumber__ring(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | V_y = V_z ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__imp__eq_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | V_b = V_c ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__left__cancel_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | V_b = V_c ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__right__cancel_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | V_b = V_c ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Cons__eq__append__conv_5,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Cons__eq__appendI_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__add__diff_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_k,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_neq__Nil__conv_1,axiom, % 0.33/0.59 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list_Osimps_I3_J_0,axiom, % 0.33/0.59 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_length__greater__0__conv_1,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Opwr__mul_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Omul__d_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Omul__c_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Omul__a_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Omul__1_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Omul__0_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0 % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Oadd__c_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Oadd__a_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Oadd__0_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom, % 0.33/0.59 ( 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))) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0 % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0 % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom, % 0.33/0.59 ( 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)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_type_Osplit__asm_0,axiom, % 0.33/0.59 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a))) % 0.33/0.59 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_type_Osplit_0,axiom, % 0.33/0.59 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a))) % 0.33/0.59 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_drop__1__Cons_0,axiom, % 0.33/0.59 c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ). % 0.33/0.59 % 0.33/0.59 cnf(cls_subst__subst_0,axiom, % 0.33/0.59 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_v),V_i)),c_Suc(V_j))),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_v),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i)),V_v),V_j) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_apps__eq__tail__conv_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_r = V_s ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__is__1_3,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.59 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__is__1_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.59 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__take__drop__id_0,axiom, % 0.33/0.59 c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__diff__diff_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__Suc__eq__diff__pred_0,axiom, % 0.33/0.59 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Lambda_0,axiom, % 0.33/0.59 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r))) % 0.33/0.59 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.59 | 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)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_appR_0,axiom, % 0.33/0.59 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)) % 0.33/0.59 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_appL_0,axiom, % 0.33/0.59 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)) % 0.33/0.59 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rev__eq__Cons__iff_1,axiom, % 0.33/0.59 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_substn_Osimps_I1_J_0,axiom, % 0.33/0.59 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_min__max_Osup__commute_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__eq__imp__eq__base_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 0.33/0.59 | V_a = V_b % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_liftn_Osimps_I1_J_0,axiom, % 0.33/0.59 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_drop__eq__Nil_0,axiom, % 0.33/0.59 ( c_List_Odrop(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.59 | c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_drop__all_0,axiom, % 0.33/0.59 ( c_List_Odrop(V_n,V_xs,T_a) = c_List_Olist_ONil(T_a) % 0.33/0.59 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__Suc__eq_2,axiom, % 0.33/0.59 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct__drop_0,axiom, % 0.33/0.59 ( c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a) % 0.33/0.59 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct__rev_1,axiom, % 0.33/0.59 ( c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) % 0.33/0.59 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct__rev_0,axiom, % 0.33/0.59 ( c_List_Odistinct(V_xs,T_a) % 0.33/0.59 | ~ c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_drop__replicate_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_linorder__neqE__nat_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.33/0.59 | V_x = V_y ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__eq__iff_2,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | V_x = V_y % 0.33/0.59 | ~ c_lessequals(V_y,V_x,T_a) % 0.33/0.59 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_linorder__neqE_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.59 | V_x = V_y ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__antisym_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | V_x = V_y % 0.33/0.59 | ~ c_lessequals(V_y,V_x,T_a) % 0.33/0.59 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__antisym__conv_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | V_x = V_y % 0.33/0.59 | ~ c_lessequals(V_x,V_y,T_a) % 0.33/0.59 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__replicate__commute_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_linorder__less__linear_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.33/0.59 | V_x = V_y % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | V_x = V_y % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_lessequals(V_a,V_b,T_a) % 0.33/0.59 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.59 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__diff__1_0,axiom, % 0.33/0.59 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__pred_H_0,axiom, % 0.33/0.59 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_min__max_Osup__idem_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.33/0.59 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.33/0.59 | V_dB2 = V_dB2_H ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.33/0.59 | V_dB1 = V_dB1_H ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__strict__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__less__mono_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_IT_OVar_0,axiom, % 0.33/0.59 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB))) % 0.33/0.59 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_termination__basic__simps_I5_J_0,axiom, % 0.33/0.59 ( c_lessequals(V_x,V_y,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__less__le_0,axiom, % 0.33/0.59 ( c_lessequals(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__le__less_1,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | c_lessequals(V_x,V_y,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__less__imp__le_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.59 | c_lessequals(V_x,V_y,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_rs = V_ss ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_r = V_s ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_apps__eq__Abs__conv_0,axiom, % 0.33/0.59 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.33/0.59 | V_s = c_Lambda_OdB_OAbs(V_r) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list_Osimps_I2_J_0,axiom, % 0.33/0.59 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_App_0,axiom, % 0.33/0.59 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U) % 0.33/0.59 | ~ c_Type_Otyping(V_env,V_t,V_T) % 0.33/0.59 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct_Osimps_I1_J_0,axiom, % 0.33/0.59 c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_upd__conv__take__nth__drop_0,axiom, % 0.33/0.59 ( c_List_Olist__update(V_xs,V_i,V_a,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__gt1_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_beta__cases_I1_J_0,axiom, % 0.33/0.59 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__Suc__diff__eq1_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__less__iff_1,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__less__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_lessI_0,axiom, % 0.33/0.59 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__Suc__eq_2,axiom, % 0.33/0.59 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__trans__Suc_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__le__cancel__right_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__le__cancel__right_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | c_lessequals(V_a,V_b,T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__le__cancel__left_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__le__cancel__left_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | c_lessequals(V_a,V_b,T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__right__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__left__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__le__mono1_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__add__left__cancel__le_0,axiom, % 0.33/0.59 ( c_lessequals(V_m,V_n,tc_nat) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__add__left__cancel__le_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__less__one_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__beyond_0,axiom, % 0.33/0.59 ( c_List_Olist__update(V_xs,V_i,V_x,T_a) = V_xs % 0.33/0.59 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__imp__diff__is__add_0,axiom, % 0.33/0.59 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.33/0.59 | V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_i) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__add__diff__inverse_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 0.33/0.59 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__add__diff__inverse2_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_n) = V_m % 0.33/0.59 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_shift__lt_0,axiom, % 0.33/0.59 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gb__semiring_Opwr__Suc_0,axiom, % 0.33/0.59 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n)) % 0.33/0.59 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__add__one_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__diff__assoc_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__diff__assoc2_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_drop__drop_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__le__imp__le__base_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_lessequals(V_a,V_b,T_a) % 0.33/0.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_replicate__add_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_take__0_0,axiom, % 0.33/0.59 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_take__append_0,axiom, % 0.33/0.59 c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rev__is__rev__conv_0,axiom, % 0.33/0.59 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a) % 0.33/0.59 | V_xs = V_ys ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__0__less__iff_1,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__0__less__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__inject__exp_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.33/0.59 | V_m = V_n ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_take__Cons_H_0,axiom, % 0.33/0.59 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__0_0,axiom, % 0.33/0.59 ( ~ class_Power_Opower(T_a) % 0.33/0.59 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__semiring_Opwr__0_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.59 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct__rotate_0,axiom, % 0.33/0.59 ( c_List_Odistinct(V_xs,T_a) % 0.33/0.59 | ~ c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct__rotate_1,axiom, % 0.33/0.59 ( c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) % 0.33/0.59 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_replicate__empty_0,axiom, % 0.33/0.59 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_listsum__rev_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.59 | c_List_Olistsum(c_List_Orev(V_xs,T_a),T_a) = c_List_Olistsum(V_xs,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__in__listsp__conv_2,axiom, % 0.33/0.59 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) % 0.33/0.59 | ~ c_List_Olistsp(V_A,V_ys,T_a) % 0.33/0.59 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_o__assoc_0,axiom, % 0.33/0.59 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_subst__gt_0,axiom, % 0.33/0.59 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_subst__Var_0,axiom, % 0.33/0.59 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_length__replicate_0,axiom, % 0.33/0.59 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ). % 0.33/0.59 % 0.33/0.59 cnf(cls_empty__replicate_0,axiom, % 0.33/0.59 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_length__0__conv_0,axiom, % 0.33/0.59 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Nil__is__rev__conv_0,axiom, % 0.33/0.59 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__leD_0,axiom, % 0.33/0.59 ( c_lessequals(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__SucI_0,axiom, % 0.33/0.59 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 0.33/0.59 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__n__not__le__n_0,axiom, % 0.33/0.59 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__diff__iff_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ 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) % 0.33/0.59 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__diff__iff_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_pos__add__strict_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_subst__lt_0,axiom, % 0.33/0.59 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rotate__is__Nil__conv_0,axiom, % 0.33/0.59 ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_subst__Var__IT_0,axiom, % 0.33/0.59 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j))) % 0.33/0.59 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.59 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.59 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.59 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__strict__increasing__iff_1,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__strict__increasing__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__strict__increasing_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__less__imp__less__exp_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_liftn_Osimps_I2_J_0,axiom, % 0.33/0.59 c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_replicate__empty_1,axiom, % 0.33/0.59 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_drop__Cons_H_1,axiom, % 0.33/0.59 ( c_List_Odrop(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rev__is__Nil__conv_0,axiom, % 0.33/0.59 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__diff__cancel_0,axiom, % 0.33/0.59 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i % 0.33/0.59 | ~ c_lessequals(V_i,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rotate__is__Nil__conv_1,axiom, % 0.33/0.59 c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__Cons__self2_0,axiom, % 0.33/0.59 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__Cons__self_0,axiom, % 0.33/0.59 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__code_I2_J_0,axiom, % 0.33/0.59 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_substn_Osimps_I1_J_1,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.33/0.59 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_length__list__update_0,axiom, % 0.33/0.59 c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__SucE_0,axiom, % 0.33/0.59 ( V_m = c_Suc(V_n) % 0.33/0.59 | c_lessequals(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__less__less__Suc__eq_1,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__less__eq_1,axiom, % 0.33/0.59 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__less__eq_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__eq__append__conv__if_0,axiom, % 0.33/0.59 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) % 0.33/0.59 | V_xs_092_060_094isub_0621 = c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a) % 0.33/0.59 | ~ c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_lift__subst_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_j)),V_i) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)),V_j) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_lift__lift_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,V_t),V_i)),c_Suc(V_k)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_i) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Cons__eq__append__conv_4,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_singleton__rev__conv_1,axiom, % 0.33/0.59 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_max__add__distrib__left_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_app__Var__IT_0,axiom, % 0.33/0.59 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i)))) % 0.33/0.59 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__inject__base_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | V_a = V_b % 0.33/0.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.33/0.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__less__two_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Nil__is__append__conv_2,axiom, % 0.33/0.59 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Abs__App__neq__Var__apps_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct__take_0,axiom, % 0.33/0.59 ( c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a) % 0.33/0.59 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_abs_0,axiom, % 0.33/0.59 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t)) % 0.33/0.59 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.59 | 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_replicate__append__same_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rev__is__Nil__conv_1,axiom, % 0.33/0.59 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_substn_Osimps_I2_J_0,axiom, % 0.33/0.59 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__add__inverse2_0,axiom, % 0.33/0.59 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__add__inverse_0,axiom, % 0.33/0.59 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__diff__cancel_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rev__append_0,axiom, % 0.33/0.59 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_foldl__append_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__le__imp__le__exp_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_lessequals(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__increasing__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_lessequals(V_x,V_y,tc_nat) % 0.33/0.59 | ~ c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__increasing__iff_1,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.33/0.59 | c_lessequals(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.33/0.59 | ~ c_lessequals(V_x,V_y,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_rotate__rotate_0,axiom, % 0.33/0.59 c_List_Orotate(V_m,c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_xs,T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_type_Osimps_I5_J_0,axiom, % 0.33/0.59 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_length__greater__0__conv_0,axiom, % 0.33/0.59 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_distinct_Osimps_I2_J_1,axiom, % 0.33/0.59 ( c_List_Odistinct(V_xs,T_a) % 0.33/0.59 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__le__less__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.33/0.59 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__less__le__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_lessequals(V_c,V_d,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.33/0.59 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__less__eq_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__mono_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__gr__0_2,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__gr__0_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__nonempty_0,axiom, % 0.33/0.59 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__eq__0__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.33/0.59 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.33/0.59 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.33/0.59 | ~ class_Power_Opower(T_a) % 0.33/0.59 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.59 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_field__power__not__zero_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.33/0.59 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.59 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_one__neq__zero_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.33/0.59 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_double__eq__0__iff_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.59 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.33/0.59 | ~ class_Int_Onumber__ring(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__self_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__0__right_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_right__minus__eq_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.33/0.59 | ~ class_Int_Onumber__ring(T_a) % 0.33/0.59 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.33/0.59 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_double__eq__0__iff_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.33/0.59 | 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__neq__one_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.33/0.59 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.33/0.59 | ~ class_Int_Onumber__ring(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.59 | V_x = V_y ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_right__minus__eq_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.59 | V_a = V_b ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.59 | V_a = V_b ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.33/0.59 | ~ class_Int_Onumber__ring(T_a) % 0.33/0.59 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__0__left_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.33/0.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_power__0__left_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.33/0.59 | ~ class_Power_Opower(T_a) % 0.33/0.59 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__0__eq_1,axiom, % 0.33/0.59 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_neq0__conv_1,axiom, % 0.33/0.59 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_liftn__0_0,axiom, % 0.33/0.59 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ). % 0.33/0.59 % 0.33/0.59 cnf(cls_gr0I_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__neq__Zero_0,axiom, % 0.33/0.59 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.33/0.59 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diffs0__imp__equal_0,axiom, % 0.33/0.59 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | V_m = V_n ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__0__eq_0,axiom, % 0.33/0.59 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__is__0_1,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__is__0_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_minus__nat_Odiff__0_0,axiom, % 0.33/0.59 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__self__eq__0_0,axiom, % 0.33/0.59 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.33/0.59 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) % 0.33/0.59 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__eq__self__zero_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Zero__neq__Suc_0,axiom, % 0.33/0.59 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.33/0.59 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__length_0,axiom, % 0.33/0.59 c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__add__less1_0,axiom, % 0.33/0.59 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_not__add__less2_0,axiom, % 0.33/0.59 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__diff_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__self__conv_0,axiom, % 0.33/0.59 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs % 0.33/0.59 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_self__append__conv_0,axiom, % 0.33/0.59 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a) % 0.33/0.59 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__self__conv2_0,axiom, % 0.33/0.59 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_self__append__conv2_0,axiom, % 0.33/0.59 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a) % 0.33/0.59 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__eq__Cons__conv_4,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__diff__conv_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__diff__conv_1,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__n__not__n_0,axiom, % 0.33/0.59 c_Suc(V_n) != V_n ). % 0.33/0.59 % 0.33/0.59 cnf(cls_n__not__Suc__n_0,axiom, % 0.33/0.59 V_n != c_Suc(V_n) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__strict__right__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__less__cancel__right_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__less__cancel__right_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__strict__left__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__less__cancel__left_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__less__cancel__left_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__less__mono1_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__add__left__cancel__less_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__add__left__cancel__less_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__eq__append__conv__if_6,axiom, % 0.33/0.59 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) != V_ys_092_060_094isub_0622 % 0.33/0.59 | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621 % 0.33/0.59 | V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a) % 0.33/0.59 | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_xt1_I6_J_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | c_lessequals(V_z,V_x,T_a) % 0.33/0.59 | ~ c_lessequals(V_z,V_y,T_a) % 0.33/0.59 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_xt1_I7_J_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.33/0.59 | ~ c_lessequals(V_z,V_y,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_xt1_I8_J_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.33/0.59 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.33/0.59 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.59 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.33/0.59 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__trans_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.59 | c_lessequals(V_x,V_z,T_a) % 0.33/0.59 | ~ c_lessequals(V_y,V_z,T_a) % 0.33/0.59 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__refl_0,axiom, % 0.33/0.59 c_lessequals(V_n,V_n,tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__trans_0,axiom, % 0.33/0.59 ( c_lessequals(V_i,V_k,tc_nat) % 0.33/0.59 | ~ c_lessequals(V_j,V_k,tc_nat) % 0.33/0.59 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_eq__imp__le_0,axiom, % 0.33/0.59 c_lessequals(V_x,V_x,tc_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__eq__iff_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | c_lessequals(V_x,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__eq__refl_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.59 | c_lessequals(V_x,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__le__less__trans_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.33/0.59 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_order__less__le__trans_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.33/0.59 | ~ c_lessequals(V_y,V_z,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__add__right__mono_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.33/0.59 | ~ c_lessequals(V_c,V_d,T_a) % 0.33/0.59 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list_Oinject_0,axiom, % 0.33/0.59 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.33/0.59 | V_a = V_a_H ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list_Oinject_1,axiom, % 0.33/0.59 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.33/0.59 | V_list = V_list_H ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_rs = V_ss ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_m = V_n ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_subject__reduction_0,axiom, % 0.33/0.59 ( c_Type_Otyping(V_e,V_t_H,V_T) % 0.33/0.59 | ~ c_Lambda_Obeta(V_t,V_t_H) % 0.33/0.59 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.33/0.59 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__diff__split_0,axiom, % 0.33/0.59 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) % 0.33/0.59 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__is__1_5,axiom, % 0.33/0.59 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)) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__swap_0,axiom, % 0.33/0.59 ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a) % 0.33/0.59 | V_i = V_i_H ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.33/0.59 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.33/0.59 | V_nat = V_nat_H ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__less__Suc__eq_0,axiom, % 0.33/0.59 ( V_n = V_m % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.33/0.59 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.33/0.59 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.33/0.59 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_replicate__app__Cons__same_0,axiom, % 0.33/0.59 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) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_o__eq__dest_0,axiom, % 0.33/0.59 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a) % 0.33/0.59 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_comp__cong_0,axiom, % 0.33/0.59 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H)) % 0.33/0.59 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Nil__is__rev__conv_1,axiom, % 0.33/0.59 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__less__diff_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ 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) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_zero__less__diff_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__lessD_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__SucI_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append__eq__append__conv__if_2,axiom, % 0.33/0.59 ( c_List_Oappend(V_xs_092_060_094isub_0621,V_xs_092_060_094isub_0622,T_a) != c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) % 0.33/0.59 | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) = V_ys_092_060_094isub_0621 % 0.33/0.59 | c_lessequals(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_length__rev_0,axiom, % 0.33/0.59 c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_Suc__pred_0,axiom, % 0.33/0.59 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_list__update__code_I3_J_0,axiom, % 0.33/0.59 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a) = c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_of__nat__add_0,axiom, % 0.33/0.59 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.33/0.59 | 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)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__less_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__eqI_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.33/0.59 | c_lessequals(V_y_H,V_x_H,T_a) % 0.33/0.59 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__eqI_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.33/0.59 | c_lessequals(V_y,V_x,T_a) % 0.33/0.59 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__eqI_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_less__eqI_1,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.33/0.59 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_listsum__append_0,axiom, % 0.33/0.59 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.59 | 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)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__diff__inverse_0,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 0.33/0.59 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_diff__Suc__less_0,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 0.33/0.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append1__eq__conv_0,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_xs = V_ys ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_append1__eq__conv_1,axiom, % 0.33/0.59 ( 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) % 0.33/0.59 | V_x = V_y ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__is__1_1,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.59 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.59 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_add__is__1_2,axiom, % 0.33/0.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.33/0.59 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.33/0.59 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_xt1_I11_J_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.33/0.59 | V_a = V_b % 0.33/0.59 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_xt1_I12_J_0,axiom, % 0.33/0.59 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.59 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.33/0.59 | ~ c_lessequals(V_b,V_a,T_a) % 0.33/0.59 | V_a = V_b ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_nat__less__le_2,axiom, % 0.33/0.59 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.59 | V_m = V_n % 0.33/0.59 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.59 % 0.33/0.59 cnf(cls_le__eq__less__or__eq_0,axiom, % 0.33/0.59 ( V_m = V_n % 0.33/0.59 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.60 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_le__neq__implies__less_0,axiom, % 0.33/0.60 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.33/0.60 | V_m = V_n % 0.33/0.60 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_order__le__less_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.60 | V_x = V_y % 0.33/0.60 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.60 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_order__less__le_2,axiom, % 0.33/0.60 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.60 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.60 | V_x = V_y % 0.33/0.60 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_order__le__neq__trans_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.60 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.33/0.60 | V_a = V_b % 0.33/0.60 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_order__neq__le__trans_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.60 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.33/0.60 | ~ c_lessequals(V_a,V_b,T_a) % 0.33/0.60 | V_a = V_b ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.60 | V_x = V_y % 0.33/0.60 | ~ c_lessequals(V_x,V_y,T_a) % 0.33/0.60 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.60 | V_x = V_y % 0.33/0.60 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.60 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_append__is__Nil__conv_2,axiom, % 0.33/0.60 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lift_Osimps_I3_J_0,axiom, % 0.33/0.60 hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OAbs(V_s)),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(c_Lambda_Olift,V_s),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_list__update__overwrite_0,axiom, % 0.33/0.60 c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_Suc__le__mono_0,axiom, % 0.33/0.60 ( c_lessequals(V_n,V_m,tc_nat) % 0.33/0.60 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_Suc__le__mono_1,axiom, % 0.33/0.60 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 0.33/0.60 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_append__assoc_0,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_append__eq__appendI_0,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_append__eq__append__conv2_4,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_append__eq__append__conv2_5,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_xt1_I9_J_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Oorder(T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.33/0.60 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_nat__le__linear_0,axiom, % 0.33/0.60 ( c_lessequals(V_n,V_m,tc_nat) % 0.33/0.60 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_linorder__linear_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Olinorder(T_a) % 0.33/0.60 | c_lessequals(V_y,V_x,T_a) % 0.33/0.60 | c_lessequals(V_x,V_y,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_order__less__asym_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_order__less__asym_H_0,axiom, % 0.33/0.60 ( ~ class_Orderings_Opreorder(T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_add__is__0_2,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_nat_Oinduct_0,axiom, % 0.33/0.60 ( hBOOL(hAPP(V_P,V_nat)) % 0.33/0.60 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinduct__1(V_P))) % 0.33/0.60 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_gr__implies__not0_0,axiom, % 0.33/0.60 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_not__less0_0,axiom, % 0.33/0.60 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_bot__nat__def_0,axiom, % 0.33/0.60 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_upt_Oinduct_0,axiom, % 0.33/0.60 ( hBOOL(hAPP(V_P,V_nat)) % 0.33/0.60 | hBOOL(hAPP(V_P,v_sko__List__Xupt__Xinduct__1(V_P))) % 0.33/0.60 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_drop__0_0,axiom, % 0.33/0.60 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ). % 0.33/0.60 % 0.33/0.60 cnf(cls_diff__0__eq__0_0,axiom, % 0.33/0.60 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_infinite__descent0_1,axiom, % 0.33/0.60 ( hBOOL(hAPP(V_P,V_n)) % 0.33/0.60 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P))) % 0.33/0.60 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_le0_0,axiom, % 0.33/0.60 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_size__char_0,axiom, % 0.33/0.60 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_replicate__eq__replicate_2,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_max__0R_0,axiom, % 0.33/0.60 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ). % 0.33/0.60 % 0.33/0.60 cnf(cls_max__0L_0,axiom, % 0.33/0.60 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 0.33/0.60 % 0.33/0.60 cnf(cls_replicate__eq__replicate_1,axiom, % 0.33/0.60 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.33/0.60 | V_x = V_y % 0.33/0.60 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.33/0.60 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.33/0.60 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ). % 0.33/0.60 % 0.33/0.60 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.33/0.60 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ). % 0.33/0.60 % 0.33/0.60 cnf(cls_gb__semiring_Opwr__0_0,axiom, % 0.33/0.60 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1 % 0.33/0.60 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_listsum__0_0,axiom, % 0.33/0.60 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.60 | c_List_Olistsum(c_List_Omap(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,T_b),V_xs,T_b,T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_substn__subst__n_0,axiom, % 0.33/0.60 c_Lambda_Osubstn(V_t,V_s,V_n) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat))),V_n) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__is__Nil__conv_0,axiom, % 0.33/0.60 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a) % 0.33/0.60 | V_xs = c_List_Olist_ONil(T_b) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_drop__map_0,axiom, % 0.33/0.60 c_List_Odrop(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Odrop(V_n,V_xs,T_b),T_b,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__idI_1,axiom, % 0.33/0.60 ( hAPP(V_f,c_List_Osko__List__Xmap__idI__1__1(V_f,V_xs,T_a)) != c_List_Osko__List__Xmap__idI__1__1(V_f,V_xs,T_a) % 0.33/0.60 | c_List_Omap(V_f,V_xs,T_a,T_a) = V_xs ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_distinct__map_0,axiom, % 0.33/0.60 ( c_List_Odistinct(V_xs,T_b) % 0.33/0.60 | ~ c_List_Odistinct(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__append_0,axiom, % 0.33/0.60 c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a) = c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__eq__imp__length__eq_0,axiom, % 0.33/0.60 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Omap(V_f,V_ys,T_b,T_a) % 0.33/0.60 | c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) = c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_b)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_Nil__is__map__conv_0,axiom, % 0.33/0.60 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a) % 0.33/0.60 | V_xs = c_List_Olist_ONil(T_b) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__replicate_0,axiom, % 0.33/0.60 c_List_Omap(V_f,c_List_Oreplicate(V_n,V_x,T_b),T_b,T_a) = c_List_Oreplicate(V_n,hAPP(V_f,V_x),T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_length__map_0,axiom, % 0.33/0.60 c_Nat_Osize__class_Osize(c_List_Omap(V_f,V_xs,T_b,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_b)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_rotate__map_0,axiom, % 0.33/0.60 c_List_Orotate(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orotate(V_n,V_xs,T_b),T_b,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_rev__map_0,axiom, % 0.33/0.60 c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__ext_1,axiom, % 0.33/0.60 ( hAPP(V_f,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b)) != hAPP(V_g,c_List_Osko__List__Xmap__ext__1__1(V_f,V_g,V_xs,T_a,T_b)) % 0.33/0.60 | c_List_Omap(V_f,V_xs,T_a,T_b) = c_List_Omap(V_g,V_xs,T_a,T_b) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_take__map_0,axiom, % 0.33/0.60 c_List_Otake(V_n,c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Otake(V_n,V_xs,T_b),T_b,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__is__Nil__conv_1,axiom, % 0.33/0.60 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__map_0,axiom, % 0.33/0.60 c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a) = c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__eq__Cons__conv_3,axiom, % 0.33/0.60 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_Cons__eq__map__conv_3,axiom, % 0.33/0.60 c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map_Osimps_I2_J_0,axiom, % 0.33/0.60 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__cong_1,axiom, % 0.33/0.60 ( hAPP(V_f,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b)) != hAPP(V_g,c_List_Osko__List__Xmap__cong__1__1(V_f,V_g,V_x,T_a,T_b)) % 0.33/0.60 | c_List_Omap(V_f,V_x,T_a,T_b) = c_List_Omap(V_g,V_x,T_a,T_b) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__eq__conv_2,axiom, % 0.33/0.60 ( hAPP(V_f,c_List_Osko__List__Xmap__eq__conv__1__1(V_f,V_g,V_xs,T_b,T_a)) != hAPP(V_g,c_List_Osko__List__Xmap__eq__conv__1__1(V_f,V_g,V_xs,T_b,T_a)) % 0.33/0.60 | c_List_Omap(V_f,V_xs,T_b,T_a) = c_List_Omap(V_g,V_xs,T_b,T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_map__update_0,axiom, % 0.33/0.60 c_List_Omap(V_f,c_List_Olist__update(V_xs,V_k,V_y,T_b),T_b,T_a) = c_List_Olist__update(c_List_Omap(V_f,V_xs,T_b,T_a),V_k,hAPP(V_f,V_y),T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_Nil__is__map__conv_1,axiom, % 0.33/0.60 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_listsum__foldr_0,axiom, % 0.33/0.60 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.60 | 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) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldl__foldr1_0,axiom, % 0.33/0.60 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.60 | 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) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldl__foldr1__lemma_0,axiom, % 0.33/0.60 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.33/0.60 | 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)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_subst__App_0,axiom, % 0.33/0.60 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_s),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_k)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_s),V_k)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_subst__eq_0,axiom, % 0.33/0.60 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ). % 0.33/0.60 % 0.33/0.60 cnf(cls_subst__preserves__beta_0,axiom, % 0.33/0.60 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i)) % 0.33/0.60 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_argT_0,axiom, % 0.33/0.60 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_subst__Abs_0,axiom, % 0.33/0.60 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OAbs(V_t)),V_s),V_k) = c_Lambda_OdB_OAbs(hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),hAPP(hAPP(c_Lambda_Olift,V_s),c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldr__foldl_0,axiom, % 0.33/0.60 c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a) = c_List_Ofoldl(c_COMBC(V_f,T_b,T_a,T_a),V_a,c_List_Orev(V_xs,T_b),T_a,T_b) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldl__foldr_0,axiom, % 0.33/0.60 c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b) = c_List_Ofoldr(c_COMBC(V_f,T_a,T_b,T_a),c_List_Orev(V_xs,T_b),V_a,T_b,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Osimps_I4_J_0,axiom, % 0.33/0.60 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type__induct_1,axiom, % 0.33/0.60 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.33/0.60 | hBOOL(hAPP(V_P,V_T)) % 0.33/0.60 | hBOOL(hAPP(V_P,V_T2)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type__induct_0,axiom, % 0.33/0.60 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x) % 0.33/0.60 | hBOOL(hAPP(V_P,V_T)) % 0.33/0.60 | hBOOL(hAPP(V_P,V_T1a)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Orecs_I2_J_0,axiom, % 0.33/0.60 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)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Osimps_I6_J_0,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Osplit__asm_1,axiom, % 0.33/0.60 ( ~ 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))) % 0.33/0.60 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Osplit_1,axiom, % 0.33/0.60 ( ~ 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))) % 0.33/0.60 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Osimps_I3_J_0,axiom, % 0.33/0.60 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_MI2_0,axiom, % 0.33/0.60 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.33/0.60 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i))) % 0.33/0.60 | ~ c_Type_Otyping(V_e,V_u,V_T2) % 0.33/0.60 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.33/0.60 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta) % 0.33/0.60 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_MI1_0,axiom, % 0.33/0.60 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.33/0.60 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i))) % 0.33/0.60 | ~ c_Type_Otyping(V_e,V_u,V_T1) % 0.33/0.60 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.33/0.60 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta) % 0.33/0.60 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldr_Osimps_I2_J_0,axiom, % 0.33/0.60 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)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldr__append_0,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldr_Osimps_I1_J_0,axiom, % 0.33/0.60 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lift__IT_0,axiom, % 0.33/0.60 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i))) % 0.33/0.60 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.33/0.60 hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_s),V_k)),hAPP(hAPP(c_Lambda_Olift,V_t),V_k)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lift__preserves__beta_0,axiom, % 0.33/0.60 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_Olift,V_r),V_i),hAPP(hAPP(c_Lambda_Olift,V_s),V_i)) % 0.33/0.60 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_shift__gt_0,axiom, % 0.33/0.60 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j) % 0.33/0.60 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_list__app__typeI_0,axiom, % 0.33/0.60 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) % 0.33/0.60 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.33/0.60 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_True_0,axiom, % 0.33/0.60 v_n____ = v_i____ ). % 0.33/0.60 % 0.33/0.60 cnf(cls_headT_0,axiom, % 0.33/0.60 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)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_uT_0,axiom, % 0.33/0.60 c_Type_Otyping(v_e____,v_u____,v_T____) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_Abs_0,axiom, % 0.33/0.60 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) % 0.33/0.60 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_uIT_0,axiom, % 0.33/0.60 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_power__eq__0__iff_2,axiom, % 0.33/0.60 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.33/0.60 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.33/0.60 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.33/0.60 | ~ class_Power_Opower(T_a) % 0.33/0.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.60 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_power__0__left_1,axiom, % 0.33/0.60 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.33/0.60 | ~ class_Power_Opower(T_a) % 0.33/0.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.33/0.60 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_power__eq__0__iff_1,axiom, % 0.33/0.60 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.33/0.60 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.33/0.60 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.33/0.60 | ~ class_Power_Opower(T_a) % 0.33/0.60 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_of__nat__0_0,axiom, % 0.33/0.60 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.33/0.60 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_varT_0,axiom, % 0.33/0.60 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))) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_substn__subst__0_0,axiom, % 0.33/0.60 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_shift__commute_0,axiom, % 0.33/0.60 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) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lift__map_0,axiom, % 0.33/0.60 hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_foldr__map_0,axiom, % 0.33/0.60 c_List_Ofoldr(V_g,c_List_Omap(V_f,V_xs,T_c,T_b),V_a,T_b,T_a) = c_List_Ofoldr(c_Fun_Ocomp(V_g,V_f,T_b,tc_fun(T_a,T_a),T_c),V_xs,V_a,T_c,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_subst__lemma_0,axiom, % 0.33/0.60 ( ~ c_Type_Otyping(V_e_H,V_u,V_U) % 0.33/0.60 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T) % 0.33/0.60 | c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lift__type_0,axiom, % 0.33/0.60 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,V_t),V_i),V_T) % 0.33/0.60 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lifts__IT_0,axiom, % 0.33/0.60 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) % 0.33/0.60 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_T_0,axiom, % 0.33/0.60 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)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_subst__map_0,axiom, % 0.33/0.60 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_uT_H_0,axiom, % 0.33/0.60 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))) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_calculation_0,axiom, % 0.33/0.60 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)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_substs__lemma_0,axiom, % 0.33/0.60 ( c_Type_Otypings(V_e,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts) % 0.33/0.60 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts) % 0.33/0.60 | ~ c_Type_Otyping(V_e,V_u,V_T) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_argsT_0,axiom, % 0.33/0.60 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Osimps_I2_J_0,axiom, % 0.33/0.60 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.33/0.60 | V_type1 = V_type1_H ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_type_Osimps_I2_J_1,axiom, % 0.33/0.60 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.33/0.60 | V_type2 = V_type2_H ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_shift__eq_0,axiom, % 0.33/0.60 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ). % 0.33/0.60 % 0.33/0.60 cnf(cls_COMBC__def_0,axiom, % 0.33/0.60 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_lift__types_0,axiom, % 0.33/0.60 ( c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts) % 0.33/0.60 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_subst__lift_0,axiom, % 0.33/0.60 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ). % 0.33/0.60 % 0.33/0.60 cnf(cls_CHAINED_0,axiom, % 0.33/0.60 c_Type_Otypings(v_e____,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_conjecture_0,negated_conjecture, % 0.33/0.60 ~ c_Type_Otypings(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_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.33/0.60 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.33/0.60 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.33/0.60 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.33/0.60 | ~ class_Orderings_Oorder(T_1) ) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.33/0.60 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.33/0.60 | ~ class_Orderings_Obot(T_1) ) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.33/0.60 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.33/0.60 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.33/0.60 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.33/0.60 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.33/0.60 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.33/0.60 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.33/0.60 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.33/0.60 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.33/0.60 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.33/0.60 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.33/0.60 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.33/0.60 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 0.33/0.60 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.33/0.60 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.33/0.60 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.33/0.60 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.33/0.60 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.33/0.60 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.33/0.60 class_Nat_Osemiring__char__0(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.33/0.60 class_Orderings_Opreorder(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.33/0.60 class_Orderings_Olinorder(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.33/0.60 class_Orderings_Oorder(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.33/0.60 class_Orderings_Obot(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(clsarity_nat__Power_Opower,axiom, % 0.33/0.60 class_Power_Opower(tc_nat) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom, % 0.33/0.60 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom, % 0.33/0.60 c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.33/0.60 c_fequal(V_x,V_x,T_a) ). % 0.33/0.60 % 0.33/0.60 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.33/0.60 ( V_X = V_Y % 0.33/0.60 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.33/0.60 % 0.33/0.60 %------------------------------------------------------------------------------ % 0.33/0.60 %------------------------------------------- % 0.33/0.60 % Proof found % 0.33/0.60 % SZS status Theorem for theBenchmark % 0.33/0.60 % SZS output start Proof % 0.33/0.60 %ClaNum:988(EqnAxiom:175) % 0.33/0.60 %VarNum:5023(SingletonVarNum:2067) % 0.33/0.60 %MaxLitNum:6 % 0.33/0.60 %MaxfuncDepth:7 % 0.33/0.60 %SharedTerms:96 % 0.33/0.60 %goalClause: 429 % 0.33/0.60 %singleGoalClaCount:1 % 0.33/0.60 [176]E(a1,a2) % 0.33/0.60 [177]P1(a3) % 0.33/0.60 [178]P2(a3) % 0.33/0.60 [179]P3(a3) % 0.33/0.60 [180]P25(a3) % 0.33/0.60 [181]P38(a3) % 0.33/0.60 [182]P30(a3) % 0.33/0.60 [183]P26(a3) % 0.33/0.60 [184]P33(a3) % 0.33/0.60 [185]P27(a3) % 0.33/0.60 [186]P4(a3) % 0.33/0.60 [187]P19(a3) % 0.33/0.60 [188]P20(a3) % 0.33/0.60 [189]P28(a3) % 0.33/0.60 [190]P31(a3) % 0.33/0.60 [191]P32(a3) % 0.33/0.60 [192]P15(a3) % 0.33/0.60 [193]P23(a3) % 0.33/0.60 [194]P41(a3) % 0.33/0.60 [195]P17(a3) % 0.33/0.60 [196]P18(a3) % 0.33/0.60 [197]P29(a3) % 0.33/0.60 [198]P42(a3) % 0.33/0.60 [199]P34(a3) % 0.33/0.60 [200]P35(a3) % 0.33/0.60 [212]P9(a53,a60,a54) % 0.33/0.60 [201]E(f4(a3),f12(a3)) % 0.33/0.60 [206]P43(f39(a15,a60)) % 0.33/0.60 [348]P9(f42(a53,a2,a54,a51),a57,a55) % 0.33/0.60 [349]P13(f42(a53,a2,a54,a51),a59,a58) % 0.33/0.60 [383]E(f39(f39(a47,a55),f25(f8(a47,a51,a51,a51),a56,f26(a58,a51),a51,a51)),a54) % 0.33/0.60 [385]P9(f42(a53,a2,a54,a51),f39(f39(a17,f16(a1)),a57),f25(f8(a47,a51,a51,a51),a56,f26(a58,a51),a51,a51)) % 0.33/0.60 [388]P9(a53,a60,f39(f39(a47,a55),f25(f8(a47,a51,a51,a51),a56,f26(a58,a51),a51,a51))) % 0.33/0.60 [391]P9(f42(a53,a2,a54,a51),f16(a1),f39(f39(a47,a55),f25(f8(a47,a51,a51,a51),a56,f26(a58,a51),a51,a51))) % 0.33/0.60 [394]P9(f42(a53,f4(a3),f25(f8(a47,a51,a51,a51),a56,f26(a58,a51),a51,a51),a51),f16(f4(a3)),f25(f8(a47,a51,a51,a51),a56,f26(a58,a51),a51,a51)) % 0.33/0.60 [395]P13(a53,f28(f39(f8(f39(f8(a23,a49,a49,f52(a3,a49)),a60),a49,a3,a49),a2),a59,a49,a49),a58) % 0.33/0.60 [429]~P13(f42(a53,f4(a3),f25(f8(a47,a51,a51,a51),a56,f26(a58,a51),a51,a51),a51),f28(f39(f8(a21,a49,a3,a49),f4(a3)),f28(f39(f8(f39(f8(a23,a49,a49,f52(a3,a49)),a60),a49,a3,a49),a2),a59,a49,a49),a49,a49),a58) % 0.33/0.60 [216]P11(x2161,x2161,a3) % 0.33/0.60 [413]~P6(x4131,x4131,a3) % 0.33/0.60 [202]E(f13(x2021,a38),f4(a3)) % 0.33/0.60 [203]P5(f14(x2031),x2031) % 0.33/0.60 [219]E(f6(x2191,x2191,a3),f4(a3)) % 0.33/0.60 [220]P11(f4(a3),x2201,a3) % 0.33/0.60 [417]~P6(x4171,f4(a3),a3) % 0.33/0.60 [205]E(f26(f14(x2051),x2051),f14(x2051)) % 0.33/0.60 [207]E(f13(f14(x2071),f48(x2071)),f4(a3)) % 0.33/0.60 [208]P43(f39(a15,f16(x2081))) % 0.33/0.60 [214]E(f39(f39(f5(a3),x2141),f4(a3)),x2141) % 0.33/0.60 [221]E(f40(x2211,f4(a3),a3),x2211) % 0.33/0.60 [222]E(f6(x2221,f4(a3),a3),x2221) % 0.33/0.60 [223]E(f40(f4(a3),x2231,a3),x2231) % 0.33/0.60 [228]E(f6(f4(a3),x2281,a3),f4(a3)) % 0.33/0.60 [260]P6(x2601,f39(f39(f5(a3),x2601),f11(a3)),a3) % 0.33/0.60 [262]P6(f4(a3),f39(f39(f5(a3),x2621),f11(a3)),a3) % 0.33/0.60 [407]~E(f39(f39(f5(a3),x4071),f11(a3)),x4071) % 0.33/0.60 [411]~E(f39(f39(f5(a3),x4111),f11(a3)),f4(a3)) % 0.33/0.60 [422]~P6(f4(a3),f13(f14(x4221),f48(x4221)),a3) % 0.33/0.60 [425]~P11(f39(f39(f5(a3),x4251),f11(a3)),x4251,a3) % 0.33/0.60 [217]E(f39(f39(f5(a3),f4(a3)),x2171),x2171) % 0.33/0.60 [218]P12(x2181,x2181,x2182) % 0.33/0.60 [230]P10(x2301,f14(x2302),x2302) % 0.33/0.60 [245]P9(x2451,f16(x2452),f39(x2451,x2452)) % 0.33/0.60 [264]P11(f6(x2641,x2642,a3),x2641,a3) % 0.33/0.60 [398]~E(f16(x3981),f18(x3982)) % 0.33/0.60 [399]~P8(f16(x3991),x3992) % 0.33/0.60 [211]E(f26(f26(x2111,x2112),x2112),x2111) % 0.33/0.60 [226]E(f19(f4(a3),x2261,x2262),x2261) % 0.33/0.60 [227]E(f20(f4(a3),x2271,x2272),x2271) % 0.33/0.60 [234]E(f22(x2341,f14(x2342),x2342),x2341) % 0.33/0.60 [235]E(f22(f14(x2351),x2352,x2351),x2352) % 0.33/0.60 [237]E(f27(f4(a3),x2371,x2372),f14(x2372)) % 0.33/0.60 [238]E(f31(f4(a3),x2381,x2382),f14(x2382)) % 0.33/0.60 [239]E(f19(x2391,f14(x2392),x2392),f14(x2392)) % 0.33/0.60 [240]E(f31(x2401,f14(x2402),x2402),f14(x2402)) % 0.33/0.60 [241]E(f32(x2411,f14(x2412),x2412),f14(x2412)) % 0.33/0.60 [242]E(f13(f26(x2421,x2422),f48(x2422)),f13(x2421,f48(x2422))) % 0.33/0.60 [284]P6(f6(x2841,x2842,a3),f39(f39(f5(a3),x2841),f11(a3)),a3) % 0.33/0.60 [332]E(f39(f39(f39(a23,x3321),f20(f4(a3),x3322,f4(a3))),f4(a3)),f39(f39(f39(a23,x3321),x3322),f4(a3))) % 0.33/0.60 [345]P6(x3451,f39(f39(f5(a3),f39(f39(f5(a3),x3452),x3451)),f11(a3)),a3) % 0.33/0.60 [347]P6(x3471,f39(f39(f5(a3),f39(f39(f5(a3),x3471),x3472)),f11(a3)),a3) % 0.33/0.60 [246]E(f39(f39(f5(a3),x2461),x2462),f39(f39(f5(a3),x2462),x2461)) % 0.33/0.60 [252]P11(x2521,f39(f39(f5(a3),x2522),x2521),a3) % 0.33/0.60 [254]P11(x2541,f39(f39(f5(a3),x2541),x2542),a3) % 0.33/0.60 [270]E(f26(f24(x2701,f14(x2702),x2702),x2702),f24(x2701,f14(x2702),x2702)) % 0.33/0.60 [294]P8(f39(f39(a17,f18(x2941)),x2942),f39(f39(f39(a23,x2941),x2942),f4(a3))) % 0.33/0.60 [302]E(f39(f39(f5(a3),f6(x3021,x3022,a3)),x3022),f40(x3021,x3022,a3)) % 0.33/0.60 [305]E(f6(x3051,f39(f39(f5(a3),x3052),f11(a3)),a3),f6(f6(x3051,f11(a3),a3),x3052,a3)) % 0.33/0.60 [342]E(f40(f39(f39(f5(a3),x3421),f11(a3)),f39(f39(f5(a3),x3422),f11(a3)),a3),f39(f39(f5(a3),f40(x3421,x3422,a3)),f11(a3))) % 0.33/0.60 [423]~P6(f39(f39(f5(a3),x4231),x4232),x4232,a3) % 0.33/0.60 [424]~P6(f39(f39(f5(a3),x4241),x4242),x4241,a3) % 0.33/0.60 [248]E(f39(f39(f39(a23,f16(x2481)),x2482),x2481),x2482) % 0.33/0.60 [255]E(f6(f39(f39(f5(a3),x2551),x2552),x2552,a3),x2551) % 0.33/0.60 [256]E(f6(f39(f39(f5(a3),x2561),x2562),x2561,a3),x2562) % 0.33/0.60 [257]E(f6(x2571,f39(f39(f5(a3),x2571),x2572),a3),f4(a3)) % 0.33/0.60 [307]E(f18(f39(f39(a21,x3071),f39(f39(f5(a3),x3072),f11(a3)))),f39(f39(a21,f18(x3071)),x3072)) % 0.33/0.60 [326]E(f39(f39(f5(a3),f39(f39(f5(a3),x3261),f11(a3))),x3262),f39(f39(f5(a3),x3261),f39(f39(f5(a3),x3262),f11(a3)))) % 0.33/0.60 [340]E(f39(f39(f5(a3),f39(f39(f5(a3),x3401),f11(a3))),x3402),f39(f39(f5(a3),f39(f39(f5(a3),x3401),x3402)),f11(a3))) % 0.33/0.60 [415]~E(f24(x4151,x4152,x4153),x4152) % 0.33/0.60 [420]~E(f24(x4201,x4202,x4203),f14(x4203)) % 0.33/0.60 [249]E(f27(f4(a3),x2491,x2492),f27(f4(a3),x2493,x2492)) % 0.33/0.60 [251]E(f13(f27(x2511,x2512,x2513),f48(x2513)),x2511) % 0.33/0.60 [258]E(f13(f32(x2581,x2582,x2583),f48(x2583)),f13(x2582,f48(x2583))) % 0.33/0.60 [266]E(f19(f11(a3),f24(x2661,x2662,x2663),x2663),x2662) % 0.33/0.60 [268]E(f26(f27(x2681,x2682,x2683),x2683),f27(x2681,x2682,x2683)) % 0.33/0.60 [271]E(f19(f13(x2711,f48(x2712)),f22(x2711,x2713,x2712),x2712),x2713) % 0.33/0.60 [272]E(f31(f13(x2721,f48(x2722)),f22(x2721,x2723,x2722),x2722),x2721) % 0.33/0.60 [279]E(f31(f11(a3),f24(x2791,x2792,x2793),x2793),f24(x2791,f14(x2793),x2793)) % 0.33/0.60 [280]E(f22(f26(x2801,x2802),f26(x2803,x2802),x2802),f26(f22(x2803,x2801,x2802),x2802)) % 0.33/0.60 [282]E(f13(f24(x2821,x2822,x2823),f48(x2823)),f39(f39(f5(a3),f13(x2822,f48(x2823))),f11(a3))) % 0.33/0.60 [283]E(f39(f39(f5(a3),f13(x2831,f48(x2832))),f11(a3)),f13(f24(x2833,x2831,x2832),f48(x2832))) % 0.33/0.60 [286]E(f28(x2861,f14(x2862),x2862,x2863),f14(x2863)) % 0.33/0.60 [289]E(f29(f14(x2891),x2892,x2893,x2891),f14(x2891)) % 0.33/0.60 [292]E(f22(f31(x2921,x2922,x2923),f19(x2921,x2922,x2923),x2923),x2922) % 0.33/0.60 [306]E(f6(f6(x3061,x3062,a3),x3063,a3),f6(f6(x3061,x3063,a3),x3062,a3)) % 0.33/0.60 [327]E(f31(f6(f13(x3271,f48(x3272)),x3273,a3),f26(x3271,x3272),x3272),f26(f19(x3273,x3271,x3272),x3272)) % 0.33/0.60 [328]E(f19(f6(f13(x3281,f48(x3282)),x3283,a3),f26(x3281,x3282),x3282),f26(f31(x3283,x3281,x3282),x3282)) % 0.33/0.60 [400]~E(f41(x4001),f39(f39(a47,x4002),x4003)) % 0.33/0.60 [401]~E(f18(x4011),f39(f39(a17,x4012),x4013)) % 0.33/0.60 [402]~E(f16(x4021),f39(f39(a17,x4022),x4023)) % 0.33/0.60 [403]~E(f39(f39(a17,x4031),x4032),f18(x4033)) % 0.33/0.60 [404]~E(f39(f39(a17,x4041),x4042),f16(x4043)) % 0.33/0.60 [405]~E(f39(f39(a47,x4051),x4052),f41(x4053)) % 0.33/0.60 [426]~P11(f13(f24(x4261,x4262,x4263),f48(x4263)),f13(x4262,f48(x4263)),a3) % 0.33/0.60 [275]E(f13(f19(x2751,x2752,x2753),f48(x2753)),f6(f13(x2752,f48(x2753)),x2751,a3)) % 0.33/0.60 [297]E(f39(f39(f5(a3),f13(x2971,f48(x2972))),f13(x2973,f48(x2972))),f13(f22(x2971,x2973,x2972),f48(x2972))) % 0.33/0.60 [303]E(f27(f39(f39(f5(a3),x3031),f11(a3)),x3032,x3033),f24(x3032,f27(x3031,x3032,x3033),x3033)) % 0.33/0.60 [309]E(f22(f26(x3091,x3092),f24(x3093,f14(x3092),x3092),x3092),f26(f24(x3093,x3091,x3092),x3092)) % 0.33/0.60 [320]E(f13(f24(x3201,x3202,x3203),f48(x3203)),f39(f39(f5(a3),f13(x3202,f48(x3203))),f39(f39(f5(a3),f4(a3)),f11(a3)))) % 0.33/0.60 [329]E(f20(f39(f39(f5(a3),x3291),f11(a3)),x3292,x3293),f39(f39(a21,f20(x3291,x3292,x3293)),x3293)) % 0.33/0.60 [337]E(f22(f27(x3371,x3372,x3373),f24(x3372,f14(x3373),x3373),x3373),f24(x3372,f27(x3371,x3372,x3373),x3373)) % 0.33/0.60 [353]E(f6(f6(f39(f39(f5(a3),x3531),f11(a3)),x3532,a3),f39(f39(f5(a3),x3533),f11(a3)),a3),f6(f6(x3531,x3532,a3),x3533,a3)) % 0.33/0.60 [293]E(f39(f39(f5(a3),x2931),f39(f39(f5(a3),x2932),x2933)),f39(f39(f5(a3),x2932),f39(f39(f5(a3),x2931),x2933))) % 0.33/0.60 [295]E(f6(f39(f39(f5(a3),x2951),x2952),f39(f39(f5(a3),x2953),x2952),a3),f6(x2951,x2953,a3)) % 0.33/0.60 [296]E(f6(f39(f39(f5(a3),x2961),x2962),f39(f39(f5(a3),x2961),x2963),a3),f6(x2962,x2963,a3)) % 0.33/0.60 [299]E(f6(x2991,f39(f39(f5(a3),x2992),x2993),a3),f6(f6(x2991,x2992,a3),x2993,a3)) % 0.33/0.60 [323]E(f18(f20(x3231,x3232,f39(f39(f5(a3),x3233),f11(a3)))),f20(x3231,f18(x3232),x3233)) % 0.33/0.60 [335]E(f39(f39(a17,f39(f39(a21,x3351),x3352)),f39(f39(a21,x3353),x3352)),f39(f39(a21,f39(f39(a17,x3351),x3353)),x3352)) % 0.33/0.60 [339]E(f26(f22(f26(x3391,x3392),f24(x3393,f14(x3392),x3392),x3392),x3392),f24(x3393,x3391,x3392)) % 0.33/0.60 [357]E(f18(f39(f39(f39(a23,x3571),f39(f39(a21,x3572),f4(a3))),f39(f39(f5(a3),x3573),f11(a3)))),f39(f39(f39(a23,f18(x3571)),x3572),x3573)) % 0.33/0.60 [376]E(f18(f39(f39(f39(a23,x3761),f20(f39(f39(f5(a3),x3762),f11(a3)),x3763,f4(a3))),f39(f39(f5(a3),x3762),f11(a3)))),f39(f39(f39(a23,f18(x3761)),f20(x3762,x3763,f4(a3))),x3762)) % 0.33/0.60 [392]E(f25(a17,f39(f39(a21,x3921),x3922),f28(f39(f8(a21,a49,a3,a49),x3922),x3923,a49,a49),a49,a49),f39(f39(a21,f25(a17,x3921,x3923,a49,a49)),x3922)) % 0.33/0.60 [322]E(f39(f39(f5(a3),f39(f39(f5(a3),x3221),x3222)),x3223),f39(f39(f5(a3),x3221),f39(f39(f5(a3),x3222),x3223))) % 0.33/0.60 [325]E(f39(f39(f39(a23,f39(f39(a21,x3251),x3252)),x3253),x3252),x3251) % 0.33/0.60 [250]E(f39(f7(x2501,x2502,x2503),x2504),x2501) % 0.33/0.60 [290]E(f45(x2901,x2902,f41(x2903),x2904),f39(x2901,x2903)) % 0.33/0.60 [291]E(f46(x2911,x2912,f41(x2913),x2914),f39(x2911,x2913)) % 0.33/0.60 [304]E(f19(f39(f39(f5(a3),x3041),f11(a3)),f24(x3042,x3043,x3044),x3044),f19(x3041,x3043,x3044)) % 0.33/0.60 [308]E(f19(x3081,f27(x3082,x3083,x3084),x3084),f27(f6(x3082,x3081,a3),x3083,x3084)) % 0.33/0.60 [317]E(f24(x3171,f22(x3172,x3173,x3174),x3174),f22(f24(x3171,x3172,x3174),x3173,x3174)) % 0.33/0.60 [319]E(f22(f22(x3191,x3192,x3193),x3194,x3193),f22(x3191,f22(x3192,x3194,x3193),x3193)) % 0.33/0.60 [330]E(f29(f24(x3301,x3302,x3303),f4(a3),x3304,x3303),f24(x3304,x3302,x3303)) % 0.33/0.60 [333]E(f31(f39(f39(f5(a3),x3331),f11(a3)),f24(x3332,x3333,x3334),x3334),f24(x3332,f31(x3331,x3333,x3334),x3334)) % 0.33/0.60 [334]E(f31(f6(x3341,x3342,a3),f19(x3342,x3343,x3344),x3344),f19(x3342,f31(x3341,x3343,x3344),x3344)) % 0.33/0.60 [344]E(f39(f42(x3441,x3442,x3443,x3444),x3442),x3443) % 0.33/0.60 [350]E(f13(f29(x3501,x3502,x3503,x3504),f48(x3504)),f13(x3501,f48(x3504))) % 0.33/0.60 [351]E(f13(f28(x3511,x3512,x3513,x3514),f48(x3514)),f13(x3512,f48(x3513))) % 0.33/0.60 [352]E(f22(f27(x3521,x3522,x3523),f27(x3524,x3522,x3523),x3523),f22(f27(x3524,x3522,x3523),f27(x3521,x3522,x3523),x3523)) % 0.33/0.60 [356]E(f26(f28(x3561,x3562,x3563,x3564),x3564),f28(x3561,f26(x3562,x3563),x3563,x3564)) % 0.33/0.60 [371]E(f25(x3711,x3712,f14(x3713),x3714,x3713),x3712) % 0.33/0.60 [428]~E(f25(a17,f16(x4281),x4282,a49,a49),f25(a17,f18(x4283),x4284,a49,a49)) % 0.33/0.60 [338]E(f28(f7(x3381,x3382,x3383),x3384,x3383,x3382),f27(f13(x3384,f48(x3383)),x3381,x3382)) % 0.33/0.60 [341]E(f39(f39(a17,f20(x3411,x3412,x3413)),f20(x3411,x3414,x3413)),f20(x3411,f39(f39(a17,x3412),x3414),x3413)) % 0.33/0.60 [354]E(f24(x3541,f22(f27(x3542,x3541,x3543),x3544,x3543),x3543),f22(f27(x3542,x3541,x3543),f24(x3541,x3544,x3543),x3543)) % 0.33/0.60 [375]E(f25(f8(x3751,x3752,x3753,x3753),x3754,f26(f14(x3752),x3752),x3753,x3752),x3754) % 0.33/0.60 [427]~E(f39(f39(a17,f18(x4271)),x4272),f25(a17,f16(x4273),x4274,a49,a49)) % 0.33/0.60 [300]E(f19(x3001,f19(x3002,x3003,x3004),x3004),f19(f39(f39(f5(a3),x3001),x3002),x3003,x3004)) % 0.33/0.60 [301]E(f32(x3011,f32(x3012,x3013,x3014),x3014),f32(f39(f39(f5(a3),x3011),x3012),x3013,x3014)) % 0.33/0.60 [331]E(f22(f27(x3311,x3312,x3313),f27(x3314,x3312,x3313),x3313),f27(f39(f39(f5(a3),x3311),x3314),x3312,x3313)) % 0.33/0.60 [343]E(f19(x3431,f31(f39(f39(f5(a3),x3432),x3431),x3433,x3434),x3434),f31(x3432,f19(x3431,x3433,x3434),x3434)) % 0.33/0.60 [358]E(f22(f19(x3581,x3582,x3583),f19(f6(x3581,f13(x3582,f48(x3583)),a3),x3584,x3583),x3583),f19(x3581,f22(x3582,x3584,x3583),x3583)) % 0.33/0.60 [359]E(f22(f31(x3591,x3592,x3593),f31(f6(x3591,f13(x3592,f48(x3593)),a3),x3594,x3593),x3593),f31(x3591,f22(x3592,x3594,x3593),x3593)) % 0.33/0.60 [363]E(f39(f39(a17,f39(f39(f39(a23,x3631),x3632),x3633)),f39(f39(f39(a23,x3634),x3632),x3633)),f39(f39(f39(a23,f39(f39(a17,x3631),x3634)),x3632),x3633)) % 0.33/0.60 [396]E(f25(a17,f39(f39(f39(a23,x3961),x3962),x3963),f28(f39(f8(f39(f8(a23,a49,a49,f52(a3,a49)),x3962),a49,a3,a49),x3963),x3964,a49,a49),a49,a49),f39(f39(f39(a23,f25(a17,x3961,x3964,a49,a49)),x3962),x3963)) % 0.33/0.60 [336]E(f28(x3361,f27(x3362,x3363,x3364),x3364,x3365),f27(x3362,f39(x3361,x3363),x3365)) % 0.33/0.60 [360]E(f19(x3601,f28(x3602,x3603,x3604,x3605),x3605),f28(x3602,f19(x3601,x3603,x3604),x3604,x3605)) % 0.33/0.60 [361]E(f31(x3611,f28(x3612,x3613,x3614,x3615),x3615),f28(x3612,f31(x3611,x3613,x3614),x3614,x3615)) % 0.33/0.60 [362]E(f32(x3621,f28(x3622,x3623,x3624,x3625),x3625),f28(x3622,f32(x3621,x3623,x3624),x3624,x3625)) % 0.33/0.60 [365]E(f28(x3651,f24(x3652,x3653,x3654),x3654,x3655),f24(f39(x3651,x3652),f28(x3651,x3653,x3654,x3655),x3655)) % 0.33/0.60 [366]E(f24(f39(x3661,x3662),f28(x3661,x3663,x3664,x3665),x3665),f28(x3661,f24(x3662,x3663,x3664),x3664,x3665)) % 0.33/0.60 [367]E(f29(f29(x3671,x3672,x3673,x3674),x3672,x3675,x3674),f29(x3671,x3672,x3675,x3674)) % 0.33/0.60 [372]E(f22(f28(x3721,x3722,x3723,x3724),f28(x3721,x3725,x3723,x3724),x3724),f28(x3721,f22(x3722,x3725,x3723),x3723,x3724)) % 0.33/0.60 [321]E(f46(x3211,x3212,f39(f39(a47,x3213),x3214),x3215),f39(f39(x3212,x3213),x3214)) % 0.33/0.60 [355]E(f29(f22(x3551,f24(x3552,x3553,x3554),x3554),f13(x3551,f48(x3554)),x3555,x3554),f22(x3551,f24(x3555,x3553,x3554),x3554)) % 0.33/0.60 [368]E(f29(f24(x3681,x3682,x3683),f39(f39(f5(a3),x3684),f11(a3)),x3685,x3683),f24(x3681,f29(x3682,x3684,x3685,x3683),x3683)) % 0.33/0.60 [374]E(f42(f42(x3741,f4(a3),x3742,x3743),f39(f39(f5(a3),x3744),f11(a3)),x3745,x3743),f42(f42(x3741,x3744,x3745,x3743),f4(a3),x3742,x3743)) % 0.33/0.60 [377]E(f39(f39(f39(f39(x3771,x3772),x3773),f45(x3774,x3771,x3772,x3775)),f45(x3774,x3771,x3773,x3775)),f45(x3774,x3771,f39(f39(a47,x3772),x3773),x3775)) % 0.33/0.60 [384]E(f25(f8(f8(x3841,x3842,x3843,x3842),x3843,x3842,x3842),x3844,f26(f26(x3845,x3843),x3843),x3842,x3843),f25(x3841,x3844,x3845,x3842,x3843)) % 0.33/0.60 [373]E(f28(x3731,f29(x3732,x3733,x3734,x3735),x3735,x3736),f29(f28(x3731,x3732,x3735,x3736),x3733,f39(x3731,x3734),x3736)) % 0.33/0.60 [379]E(f39(f10(x3791,x3792,x3793,x3794,x3795),x3796),f39(x3791,f39(x3792,x3796))) % 0.33/0.60 [382]E(f28(x3821,f28(x3822,x3823,x3824,x3825),x3825,x3826),f28(f10(x3821,x3822,x3825,x3826,x3824),x3823,x3824,x3826)) % 0.33/0.60 [386]E(f25(x3861,f25(x3861,x3862,x3863,x3864,x3865),x3866,x3864,x3865),f25(x3861,x3862,f22(x3863,x3866,x3865),x3864,x3865)) % 0.33/0.60 [370]E(f39(f39(f8(x3701,x3702,x3703,x3704),x3705),x3706),f39(f39(x3701,x3706),x3705)) % 0.33/0.60 [381]E(f25(x3811,x3812,f24(x3813,x3814,x3815),x3816,x3815),f25(x3811,f39(f39(x3811,x3812),x3813),x3814,x3816,x3815)) % 0.33/0.60 [387]E(f25(f8(x3871,x3872,x3873,x3873),x3874,f26(f24(x3875,x3876,x3872),x3872),x3873,x3872),f39(f39(x3871,x3875),f25(f8(x3871,x3872,x3873,x3873),x3874,f26(x3876,x3872),x3873,x3872))) % 0.33/0.60 [389]E(f25(f8(x3891,x3892,x3893,x3893),f25(f8(x3891,x3892,x3893,x3893),x3894,f26(x3895,x3892),x3893,x3892),f26(x3896,x3892),x3893,x3892),f25(f8(x3891,x3892,x3893,x3893),x3894,f26(f22(x3896,x3895,x3892),x3892),x3893,x3892)) % 0.33/0.60 [390]E(f10(x3901,f10(x3902,x3903,x3904,x3905,x3906),x3905,x3907,x3906),f10(f10(x3901,x3902,x3905,x3907,x3904),x3903,x3904,x3907,x3906)) % 0.33/0.60 [393]E(f25(f8(x3931,x3932,x3933,x3933),x3934,f26(f28(x3935,x3936,x3937,x3932),x3932),x3933,x3932),f25(f8(f10(x3931,x3935,x3932,f52(x3933,x3933),x3937),x3937,x3933,x3933),x3934,f26(x3936,x3937),x3933,x3937)) % 0.33/0.60 [434]~P42(x4341)+~E(f11(x4341),f4(x4341)) % 0.33/0.60 [447]E(x4471,f4(a3))+P6(f4(a3),x4471,a3) % 0.33/0.60 [472]~P1(x4721)+P11(f4(x4721),f11(x4721),x4721) % 0.33/0.60 [473]~P1(x4731)+P6(f4(x4731),f11(x4731),x4731) % 0.33/0.60 [484]E(x4841,f4(a3))+~P11(x4841,f4(a3),a3) % 0.33/0.60 [518]~P1(x5181)+~P11(f11(x5181),f4(x5181),x5181) % 0.33/0.60 [519]~P1(x5191)+~P6(f11(x5191),f4(x5191),x5191) % 0.33/0.60 [435]~P41(x4351)+E(f37(f4(a3),x4351),f4(x4351)) % 0.33/0.60 [436]~P41(x4361)+E(f37(f11(a3),x4361),f11(x4361)) % 0.33/0.60 [437]~P20(x4371)+E(f30(f14(x4371),x4371),f4(x4371)) % 0.33/0.60 [479]~P22(x4791)+E(f39(f39(f5(x4791),f4(x4791)),f4(x4791)),f4(x4791)) % 0.33/0.60 [481]~P43(f39(a15,x4811))+P43(f39(a15,f18(x4811))) % 0.33/0.60 [636]~P1(x6361)+P6(f4(x6361),f39(f39(f5(x6361),f11(x6361)),f11(x6361)),x6361) % 0.33/0.60 [687]E(x6871,f4(a3))+~P6(x6871,f39(f39(f5(a3),f4(a3)),f11(a3)),a3) % 0.33/0.60 [787]~P6(f4(a3),x7871,a3)+E(f39(f39(f5(a3),f6(x7871,f11(a3),a3)),f11(a3)),x7871) % 0.33/0.60 [890]~P6(f4(a3),x8901,a3)+E(f39(f39(f5(a3),f6(x8901,f39(f39(f5(a3),f4(a3)),f11(a3)),a3)),f11(a3)),x8901) % 0.33/0.60 [924]~P10(a15,x9241,a49)+P10(a15,f28(f39(f8(a21,a49,a3,a49),f4(a3)),x9241,a49,a49),a49) % 0.33/0.60 [449]~P31(x4492)+P11(x4491,x4491,x4492) % 0.33/0.60 [450]~P32(x4502)+P11(x4501,x4501,x4502) % 0.33/0.60 [489]~P6(x4892,x4892,x4891)+~P25(x4891) % 0.33/0.60 [490]~P6(x4902,x4902,x4901)+~P31(x4901) % 0.33/0.60 [491]~P6(x4912,x4912,x4911)+~P32(x4911) % 0.33/0.60 [510]P11(x5102,x5101,a3)+P11(x5101,x5102,a3) % 0.33/0.60 [542]~P6(x5421,x5422,a3)+P11(x5421,x5422,a3) % 0.33/0.60 [430]E(x4301,x4302)+~E(f41(x4301),f41(x4302)) % 0.33/0.60 [431]E(x4311,x4312)+~E(f18(x4311),f18(x4312)) % 0.33/0.60 [432]E(x4321,x4322)+~E(f16(x4321),f16(x4322)) % 0.33/0.60 [439]~E(f26(x4391,x4392),f14(x4392))+E(x4391,f14(x4392)) % 0.33/0.60 [440]~P26(x4402)+P26(f52(x4401,x4402)) % 0.33/0.60 [441]~P31(x4412)+P31(f52(x4411,x4412)) % 0.33/0.60 [442]~P32(x4422)+P32(f52(x4421,x4422)) % 0.33/0.60 [445]~P8(x4451,x4452)+P8(f18(x4451),f18(x4452)) % 0.33/0.60 [451]~P25(x4512)+E(f40(x4511,x4511,x4512),x4511) % 0.33/0.60 [452]~P5(x4521,x4522)+P5(f26(x4521,x4522),x4522) % 0.33/0.60 [454]~P21(x4542)+E(f6(x4541,x4541,x4542),f4(x4542)) % 0.33/0.60 [455]~P16(x4552)+E(f6(x4551,x4551,x4552),f4(x4552)) % 0.33/0.60 [461]~P26(x4611)+P11(f12(x4611),x4612,x4611) % 0.33/0.60 [474]P5(x4741,x4742)+~P5(f26(x4741,x4742),x4742) % 0.33/0.60 [493]~P1(x4931)+P11(f4(x4931),f37(x4932,x4931),x4931) % 0.33/0.60 [544]~P11(x5441,x5442,a3)+E(f6(x5441,x5442,a3),f4(a3)) % 0.33/0.60 [548]P11(x5481,x5482,a3)+~E(f6(x5481,x5482,a3),f4(a3)) % 0.33/0.60 [549]~P1(x5491)+~P6(f37(x5492,x5491),f4(x5491),x5491) % 0.33/0.60 [678]~P6(x6782,x6781,a3)+P6(f4(a3),f6(x6781,x6782,a3),a3) % 0.33/0.60 [718]P6(x7181,x7182,a3)+~P6(f4(a3),f6(x7182,x7181,a3),a3) % 0.33/0.60 [443]E(x4431,f14(x4432))+~E(f13(x4431,f48(x4432)),f4(a3)) % 0.33/0.60 [448]~P3(x4482)+E(f30(f26(x4481,x4482),x4482),f30(x4481,x4482)) % 0.33/0.60 [456]~P33(x4562)+E(f43(x4561,f11(a3),x4562),x4561) % 0.33/0.60 [457]~P23(x4572)+E(f43(x4571,f11(a3),x4572),x4571) % 0.33/0.60 [458]~P3(x4581)+E(f39(f39(f5(x4581),x4582),f4(x4581)),x4582) % 0.33/0.60 [459]~P33(x4591)+E(f39(f39(f5(x4591),x4592),f4(x4591)),x4592) % 0.33/0.60 [460]~P20(x4601)+E(f39(f39(f5(x4601),x4602),f4(x4601)),x4602) % 0.33/0.60 [462]~P21(x4622)+E(f6(x4621,f4(x4622),x4622),x4621) % 0.33/0.60 [463]~P30(x4632)+E(f43(x4631,f4(a3),x4632),f11(x4632)) % 0.33/0.60 [464]~P33(x4642)+E(f43(x4641,f4(a3),x4642),f11(x4642)) % 0.33/0.60 [465]~P23(x4651)+E(f43(f11(x4651),x4652,x4651),f11(x4651)) % 0.33/0.60 [502]P43(f39(x5021,x5022))+~P43(f39(x5021,f44(x5021))) % 0.33/0.60 [503]E(x5031,f14(x5032))+P6(f4(a3),f13(x5031,f48(x5032)),a3) % 0.33/0.60 [592]~P1(x5922)+P6(x5921,f39(f39(f5(x5922),x5921),f11(x5922)),x5922) % 0.33/0.60 [624]P6(x6241,x6242,a3)+P6(x6242,f39(f39(f5(a3),x6241),f11(a3)),a3) % 0.33/0.60 [626]P11(x6261,x6262,a3)+P11(f39(f39(f5(a3),x6262),f11(a3)),x6261,a3) % 0.33/0.60 [630]P6(x6302,x6301,a3)+E(f39(f39(f5(a3),x6301),f6(x6302,x6301,a3)),x6302) % 0.33/0.60 [658]~P11(x6581,x6582,a3)+P6(x6581,f39(f39(f5(a3),x6582),f11(a3)),a3) % 0.33/0.60 [662]~P6(x6621,x6622,a3)+P11(f39(f39(f5(a3),x6621),f11(a3)),x6622,a3) % 0.33/0.60 [671]~P11(x6711,x6712,a3)+E(f39(f39(f5(a3),x6711),f6(x6712,x6711,a3)),x6712) % 0.33/0.60 [677]~P11(x6772,x6771,a3)+E(f6(x6771,f6(x6771,x6772,a3),a3),x6772) % 0.33/0.60 [708]P11(x7081,x7082,a3)+~P6(x7081,f39(f39(f5(a3),x7082),f11(a3)),a3) % 0.33/0.60 [711]P6(x7111,x7112,a3)+~P11(f39(f39(f5(a3),x7111),f11(a3)),x7112,a3) % 0.33/0.60 [740]~P6(x7401,x7402,a3)+~P6(x7402,f39(f39(f5(a3),x7401),f11(a3)),a3) % 0.33/0.60 [741]~P11(x7411,x7412,a3)+~P11(f39(f39(f5(a3),x7412),f11(a3)),x7411,a3) % 0.33/0.60 [835]P11(x8351,x8352,a3)+~P11(f39(f39(f5(a3),x8351),f11(a3)),f39(f39(f5(a3),x8352),f11(a3)),a3) % 0.33/0.60 [836]P6(x8361,x8362,a3)+~P6(f39(f39(f5(a3),x8361),f11(a3)),f39(f39(f5(a3),x8362),f11(a3)),a3) % 0.33/0.60 [907]~P20(x9071)+E(f25(f5(x9071),f4(x9071),x9072,x9071,x9071),f30(x9072,x9071)) % 0.33/0.60 [916]~P20(x9161)+E(f25(f8(f5(x9161),x9161,x9161,x9161),f4(x9161),f26(x9162,x9161),x9161,x9161),f30(x9162,x9161)) % 0.33/0.60 [926]~P20(x9261)+E(f25(f8(f5(x9261),x9261,x9261,x9261),f4(x9261),f26(x9262,x9261),x9261,x9261),f25(f5(x9261),f4(x9261),x9262,x9261,x9261)) % 0.33/0.60 [466]~P3(x4661)+E(f39(f39(f5(x4661),f4(x4661)),x4662),x4662) % 0.33/0.60 [468]~P33(x4681)+E(f39(f39(f5(x4681),f4(x4681)),x4682),x4682) % 0.33/0.60 [469]~P20(x4691)+E(f39(f39(f5(x4691),f4(x4691)),x4692),x4692) % 0.33/0.60 [476]E(x4761,f4(a3))+~E(f39(f39(f5(a3),x4762),x4761),x4762) % 0.33/0.60 [477]E(x4771,f4(a3))+~E(f39(f39(f5(a3),x4772),x4771),f4(a3)) % 0.33/0.60 [478]E(x4781,f4(a3))+~E(f39(f39(f5(a3),x4781),x4782),f4(a3)) % 0.33/0.60 [543]~P6(x5431,x5432,a3)+E(f39(f39(a21,f16(x5431)),x5432),f16(x5431)) % 0.33/0.60 [627]P6(x6271,x6272,a3)+E(f39(f39(a21,f16(x6271)),x6272),f16(f39(f39(f5(a3),x6271),f11(a3)))) % 0.33/0.60 [637]~P41(x6372)+E(f37(f39(f39(f5(a3),x6371),f11(a3)),x6372),f39(f39(f5(x6372),f11(x6372)),f37(x6371,x6372))) % 0.33/0.60 [640]~P43(f39(a15,x6401))+P43(f39(a15,f39(f39(a21,x6401),x6402))) % 0.33/0.60 [674]~P43(f39(a15,x6741))+P43(f39(a15,f39(f39(a17,x6741),f16(x6742)))) % 0.33/0.60 [764]~P11(x7642,x7641,a3)+E(f39(f39(f5(a3),f6(x7641,x7642,a3)),x7642),x7641) % 0.33/0.60 [830]~P6(f4(a3),x8301,a3)+P6(f6(x8301,f39(f39(f5(a3),x8302),f11(a3)),a3),x8301,a3) % 0.33/0.60 [903]E(x9031,f4(a3))+E(f39(f39(f5(a3),f39(f39(f5(a3),f6(x9031,f11(a3),a3)),x9032)),f11(a3)),f39(f39(f5(a3),x9031),x9032)) % 0.33/0.60 [939]~P10(a15,x9392,a49)+P43(f39(a15,f25(a17,f16(x9391),x9392,a49,a49))) % 0.33/0.60 [483]E(x4831,x4832)+~P12(x4831,x4832,x4833) % 0.33/0.60 [444]E(x4441,x4442)+~E(f26(x4441,x4443),f26(x4442,x4443)) % 0.33/0.60 [487]~E(f22(x4873,x4871,x4872),x4873)+E(x4871,f14(x4872)) % 0.33/0.60 [488]~E(f22(x4881,x4883,x4882),x4883)+E(x4881,f14(x4882)) % 0.33/0.60 [495]~E(f27(x4951,x4952,x4953),f14(x4953))+E(x4951,f4(a3)) % 0.33/0.60 [499]~E(f22(x4993,x4991,x4992),f14(x4992))+E(x4991,f14(x4992)) % 0.33/0.60 [500]~E(f32(x5003,x5001,x5002),f14(x5002))+E(x5001,f14(x5002)) % 0.33/0.60 [501]~E(f22(x5011,x5013,x5012),f14(x5012))+E(x5011,f14(x5012)) % 0.33/0.60 [514]~P9(x5141,f16(x5142),x5143)+E(f39(x5141,x5142),x5143) % 0.33/0.60 [520]~P25(x5203)+E(f40(x5201,x5202,x5203),f40(x5202,x5201,x5203)) % 0.33/0.60 [550]~P5(x5502,x5503)+P5(f19(x5501,x5502,x5503),x5503) % 0.33/0.60 [551]~P5(x5512,x5513)+P5(f31(x5511,x5512,x5513),x5513) % 0.33/0.60 [552]~P5(x5522,x5523)+P5(f32(x5521,x5522,x5523),x5523) % 0.33/0.60 [579]~P25(x5793)+P11(x5791,f40(x5792,x5791,x5793),x5793) % 0.33/0.60 [580]~P25(x5803)+P11(x5801,f40(x5801,x5802,x5803),x5803) % 0.33/0.60 [631]P5(x6311,x6312)+~P5(f24(x6313,x6311,x6312),x6312) % 0.33/0.60 [632]P5(x6321,x6322)+~P5(f22(x6323,x6321,x6322),x6322) % 0.33/0.60 [633]P5(x6331,x6332)+~P5(f22(x6331,x6333,x6332),x6332) % 0.33/0.60 [634]P5(x6341,x6342)+~P5(f32(x6343,x6341,x6342),x6342) % 0.33/0.60 [675]~P6(x6751,x6753,a3)+P6(f6(x6751,x6752,a3),x6753,a3) % 0.33/0.60 [771]~P11(x7711,x7713,a3)+P11(f6(x7711,x7712,a3),f6(x7713,x7712,a3),a3) % 0.33/0.60 [772]~P11(x7723,x7722,a3)+P11(f6(x7721,x7722,a3),f6(x7721,x7723,a3),a3) % 0.33/0.60 [918]E(x9181,f18(x9182))+~E(f25(a17,x9181,x9183,a49,a49),f18(x9182)) % 0.33/0.60 [919]E(f18(x9191),x9192)+~E(f18(x9191),f25(a17,x9192,x9193,a49,a49)) % 0.33/0.60 [920]E(f16(x9201),x9202)+~E(f16(x9201),f25(a17,x9202,x9203,a49,a49)) % 0.33/0.60 [929]E(x9291,x9292)+~E(f25(a17,x9291,x9293,a49,a49),f25(a17,x9292,x9293,a49,a49)) % 0.33/0.60 [938]~P8(x9381,x9383)+P8(f25(a17,x9381,x9382,a49,a49),f25(a17,x9383,x9382,a49,a49)) % 0.33/0.60 [558]~P6(x5582,x5583,a3)+E(f20(x5581,f16(x5582),x5583),f16(x5582)) % 0.33/0.60 [595]~E(f26(x5951,x5953),f24(x5952,f14(x5953),x5953))+E(x5951,f24(x5952,f14(x5953),x5953)) % 0.33/0.60 [596]~E(f24(x5962,f14(x5963),x5963),f26(x5961,x5963))+E(x5961,f24(x5962,f14(x5963),x5963)) % 0.33/0.60 [605]~P8(x6051,x6053)+P8(f39(f39(a21,x6051),x6052),f39(f39(a21,x6053),x6052)) % 0.33/0.60 [606]~P8(x6061,x6063)+P8(f39(f39(a17,x6061),x6062),f39(f39(a17,x6063),x6062)) % 0.33/0.60 [607]~P8(x6072,x6073)+P8(f39(f39(a17,x6071),x6072),f39(f39(a17,x6071),x6073)) % 0.33/0.60 [615]~E(f19(x6153,x6151,x6152),f14(x6152))+P11(f13(x6151,f48(x6152)),x6153,a3) % 0.33/0.60 [621]E(f31(x6211,x6212,x6213),x6212)+~P11(f13(x6212,f48(x6213)),x6211,a3) % 0.33/0.60 [623]E(f19(x6231,x6232,x6233),f14(x6233))+~P11(f13(x6232,f48(x6233)),x6231,a3) % 0.33/0.60 [629]E(f32(x6291,x6292,x6293),x6292)+~P11(f13(x6292,f48(x6293)),f11(a3),a3) % 0.33/0.60 [635]~P20(x6351)+E(f39(f39(f5(x6351),x6352),f30(x6353,x6351)),f30(f24(x6352,x6353,x6351),x6351)) % 0.33/0.60 [646]~P25(x6463)+E(f40(x6461,f40(x6461,x6462,x6463),x6463),f40(x6461,x6462,x6463)) % 0.33/0.60 [688]~P20(x6881)+E(f39(f39(f5(x6881),f30(x6882,x6881)),f30(x6883,x6881)),f30(f22(x6882,x6883,x6881),x6881)) % 0.33/0.60 [864]E(f28(x8641,x8642,x8643,x8643),x8642)+~E(f39(x8641,f33(x8641,x8642,x8643)),f33(x8641,x8642,x8643)) % 0.33/0.60 [925]~P15(x9251)+E(f25(f8(f5(x9251),x9251,x9251,x9251),x9252,f26(x9253,x9251),x9251,x9251),f25(f5(x9251),x9252,x9253,x9251,x9251)) % 0.33/0.60 [515]~P3(x5151)+E(f39(f39(f5(x5151),x5152),x5153),f39(f39(f5(x5151),x5153),x5152)) % 0.33/0.60 [517]~P33(x5171)+E(f39(f39(f5(x5171),x5172),x5173),f39(f39(f5(x5171),x5173),x5172)) % 0.33/0.60 [554]E(x5541,x5542)+~E(f39(f39(f5(a3),x5543),x5541),f39(f39(f5(a3),x5543),x5542)) % 0.33/0.60 [555]E(x5551,x5552)+~E(f39(f39(f5(a3),x5551),x5553),f39(f39(f5(a3),x5552),x5553)) % 0.33/0.60 [648]~P11(x6481,x6483,a3)+P11(x6481,f39(f39(f5(a3),x6482),x6483),a3) % 0.33/0.60 [650]~P11(x6501,x6502,a3)+P11(x6501,f39(f39(f5(a3),x6502),x6503),a3) % 0.33/0.60 [652]~P6(x6521,x6523,a3)+P6(x6521,f39(f39(f5(a3),x6522),x6523),a3) % 0.33/0.60 [654]~P6(x6541,x6542,a3)+P6(x6541,f39(f39(f5(a3),x6542),x6543),a3) % 0.33/0.60 [701]~P21(x7011)+E(f39(f39(f5(x7011),f6(x7012,x7013,x7011)),x7013),x7012) % 0.33/0.60 [703]P11(x7031,x7032,a3)+~P11(f39(f39(f5(a3),x7033),x7031),x7032,a3) % 0.33/0.60 [704]P11(x7041,x7042,a3)+~P11(f39(f39(f5(a3),x7041),x7043),x7042,a3) % 0.33/0.60 [705]P6(x7051,x7052,a3)+~P6(f39(f39(f5(a3),x7051),x7053),x7052,a3) % 0.33/0.60 [735]~P11(x7351,x7353,a3)+P11(f39(f39(f5(a3),x7351),x7352),f39(f39(f5(a3),x7353),x7352),a3) % 0.33/0.60 [736]~P11(x7362,x7363,a3)+P11(f39(f39(f5(a3),x7361),x7362),f39(f39(f5(a3),x7361),x7363),a3) % 0.33/0.60 [737]~P6(x7371,x7373,a3)+P6(f39(f39(f5(a3),x7371),x7372),f39(f39(f5(a3),x7373),x7372),a3) % 0.33/0.60 [738]~P6(x7382,x7383,a3)+P6(f39(f39(f5(a3),x7381),x7382),f39(f39(f5(a3),x7381),x7383),a3) % 0.33/0.60 [803]P6(x8031,f6(x8032,x8033,a3),a3)+~P6(f39(f39(f5(a3),x8031),x8033),x8032,a3) % 0.33/0.60 [804]P11(f6(x8041,x8042,a3),x8043,a3)+~P11(x8041,f39(f39(f5(a3),x8043),x8042),a3) % 0.33/0.60 [808]~P11(f6(x8081,x8083,a3),x8082,a3)+P11(x8081,f39(f39(f5(a3),x8082),x8083),a3) % 0.33/0.60 [809]~P6(x8091,f6(x8093,x8092,a3),a3)+P6(f39(f39(f5(a3),x8091),x8092),x8093,a3) % 0.33/0.60 [824]P11(x8241,x8242,a3)+~P11(f39(f39(f5(a3),x8243),x8241),f39(f39(f5(a3),x8243),x8242),a3) % 0.33/0.60 [825]P6(x8251,x8252,a3)+~P6(f39(f39(f5(a3),x8253),x8251),f39(f39(f5(a3),x8253),x8252),a3) % 0.33/0.60 [894]~P11(x8942,x8943,a3)+E(f6(f39(f39(f5(a3),x8941),x8942),f39(f39(f5(a3),x8943),f11(a3)),a3),f6(x8941,f39(f39(f5(a3),f6(x8943,x8942,a3)),f11(a3)),a3)) % 0.33/0.60 [928]~P20(x9281)+E(f39(f39(f5(x9281),x9282),f25(f5(x9281),f4(x9281),x9283,x9281,x9281)),f25(f5(x9281),x9282,x9283,x9281,x9281)) % 0.33/0.60 [937]~P20(x9371)+E(f39(f39(f5(x9371),x9372),f25(f8(f5(x9371),x9371,x9371,x9371),f4(x9371),f26(x9373,x9371),x9371,x9371)),f25(f5(x9371),x9372,x9373,x9371,x9371)) % 0.33/0.60 [576]~P21(x5761)+E(f6(f39(f39(f5(x5761),x5762),x5763),x5763,x5761),x5762) % 0.33/0.60 [620]~P6(x6201,x6203,a3)+E(f39(f39(f39(a23,f16(x6201)),x6202),x6203),f16(x6201)) % 0.33/0.60 [638]P6(x6382,x6383,a3)+E(f20(x6381,f16(x6382),x6383),f16(f39(f39(f5(a3),x6382),x6381))) % 0.33/0.60 [676]~P41(x6761)+E(f39(f39(f5(x6761),f37(x6762,x6761)),f37(x6763,x6761)),f37(f39(f39(f5(a3),x6762),x6763),x6761)) % 0.33/0.60 [720]~P6(x7203,x7201,a3)+E(f39(f39(f39(a23,f16(x7201)),x7202),x7203),f16(f6(x7201,f11(a3),a3))) % 0.33/0.60 [802]~P11(x8023,x8022,a3)+E(f6(f39(f39(f5(a3),x8021),x8022),x8023,a3),f39(f39(f5(a3),x8021),f6(x8022,x8023,a3))) % 0.33/0.60 [805]~P11(x8052,x8053,a3)+E(f6(f39(f39(f5(a3),x8051),x8052),x8053,a3),f6(x8051,f6(x8053,x8052,a3),a3)) % 0.33/0.60 [807]~E(f31(f13(x8071,f48(x8072)),x8073,x8072),x8071)+E(f22(x8071,f19(f13(x8071,f48(x8072)),x8073,x8072),x8072),x8073) % 0.33/0.60 [826]~P11(x8263,x8262,a3)+P11(x8261,f6(f39(f39(f5(a3),x8262),x8261),x8263,a3),a3) % 0.33/0.60 [843]~P43(f39(a15,x8431))+P43(f39(a15,f39(f39(f39(a23,x8431),f16(x8432)),x8433))) % 0.33/0.60 [854]~P11(x8543,x8541,a3)+E(f6(f39(f39(f5(a3),x8541),x8542),x8543,a3),f39(f39(f5(a3),f6(x8541,x8543,a3)),x8542)) % 0.33/0.60 [885]~P6(x8852,f39(f39(f5(a3),x8853),f11(a3)),a3)+E(f39(f39(a21,f39(f39(a21,x8851),x8852)),f39(f39(f5(a3),x8853),f11(a3))),f39(f39(a21,f39(f39(a21,x8851),x8853)),x8852)) % 0.33/0.60 [889]~P20(x8891)+E(f30(f28(f7(f4(x8891),x8891,x8892),x8893,x8892,x8891),x8891),f4(x8891)) % 0.33/0.60 [895]~P11(x8952,x8951,a3)+E(f6(f39(f39(f5(a3),x8951),f11(a3)),f39(f39(f5(a3),x8952),x8953),a3),f6(f39(f39(f5(a3),f6(x8951,x8952,a3)),f11(a3)),x8953,a3)) % 0.33/0.60 [899]P43(f39(x8991,x8992))+~P43(f39(x8991,f6(f39(f39(f5(a3),x8993),x8992),x8993,a3))) % 0.33/0.60 [584]E(x5841,x5842)+~E(f22(x5843,x5841,x5844),f22(x5843,x5842,x5844)) % 0.33/0.60 [587]E(x5871,x5872)+~E(f22(x5871,x5873,x5874),f22(x5872,x5873,x5874)) % 0.33/0.60 [722]P10(x7221,x7222,x7223)+~P10(x7221,f22(x7224,x7222,x7223),x7223) % 0.33/0.60 [723]P10(x7231,x7232,x7233)+~P10(x7231,f22(x7232,x7234,x7233),x7233) % 0.33/0.60 [814]~E(f28(x8143,x8141,x8142,x8144),f14(x8144))+E(x8141,f14(x8142)) % 0.33/0.60 [815]~E(f29(x8151,x8153,x8154,x8152),f14(x8152))+E(x8151,f14(x8152)) % 0.33/0.60 [891]P5(x8911,x8912)+~P5(f28(x8913,x8911,x8912,x8914),x8914) % 0.33/0.60 [526]E(x5261,x5262)+~E(f39(f39(a17,x5263),x5261),f39(f39(a17,x5264),x5262)) % 0.33/0.60 [527]E(x5271,x5272)+~E(f39(f39(a47,x5273),x5271),f39(f39(a47,x5274),x5272)) % 0.33/0.60 [528]E(x5281,x5282)+~E(f39(f39(a17,x5281),x5283),f39(f39(a17,x5282),x5284)) % 0.33/0.60 [529]E(x5291,x5292)+~E(f39(f39(a47,x5291),x5293),f39(f39(a47,x5292),x5294)) % 0.33/0.60 [758]~P25(x7584)+E(f40(x7581,f40(x7582,x7583,x7584),x7584),f40(x7582,f40(x7581,x7583,x7584),x7584)) % 0.33/0.60 [759]~P25(x7593)+E(f40(f40(x7591,x7592,x7593),x7594,x7593),f40(x7591,f40(x7592,x7594,x7593),x7593)) % 0.33/0.60 [810]E(f29(x8101,x8102,x8103,x8104),x8101)+~P11(f13(x8101,f48(x8104)),x8102,a3) % 0.33/0.60 [829]~P24(x8293)+E(f40(f6(x8291,x8292,x8293),f6(x8294,x8292,x8293),x8293),f6(f40(x8291,x8294,x8293),x8292,x8293)) % 0.33/0.60 [900]P9(x9001,f18(x9002),f39(f39(a47,x9003),x9004))+~P9(f42(x9001,f4(a3),x9003,a51),x9002,x9004) % 0.33/0.60 [931]E(x9311,x9312)+~E(f25(a17,f18(x9313),x9311,a49,a49),f25(a17,f18(x9314),x9312,a49,a49)) % 0.33/0.60 [932]E(x9321,x9322)+~E(f25(a17,f16(x9323),x9321,a49,a49),f25(a17,f16(x9324),x9322,a49,a49)) % 0.33/0.60 [933]E(x9331,x9332)+~E(f25(a17,f18(x9331),x9333,a49,a49),f25(a17,f18(x9332),x9334,a49,a49)) % 0.33/0.60 [934]E(x9341,x9342)+~E(f25(a17,f16(x9341),x9343,a49,a49),f25(a17,f16(x9342),x9344,a49,a49)) % 0.33/0.60 [721]~E(f26(x7211,x7213),f24(x7214,x7212,x7213))+E(x7211,f22(f26(x7212,x7213),f24(x7214,f14(x7213),x7213),x7213)) % 0.33/0.60 [754]E(x7541,f4(a3))+E(f19(x7541,f24(x7542,x7543,x7544),x7544),f19(f6(x7541,f11(a3),a3),x7543,x7544)) % 0.33/0.60 [800]~P8(x8001,x8004)+P8(f39(f39(f39(a23,x8001),x8002),x8003),f39(f39(f39(a23,x8004),x8002),x8003)) % 0.33/0.60 [910]~P6(x9103,f13(x9101,f48(x9102)),a3)+E(f29(f26(x9101,x9102),f6(f6(f13(x9101,f48(x9102)),x9103,a3),f11(a3),a3),x9104,x9102),f26(f29(x9101,x9103,x9104,x9102),x9102)) % 0.33/0.60 [915]P43(f39(x9151,f39(x9152,x9153)))+~P43(f39(x9151,f46(x9152,x9154,f41(x9153),a50))) % 0.33/0.60 [726]~P3(x7261)+E(f39(f39(f5(x7261),x7262),f39(f39(f5(x7261),x7263),x7264)),f39(f39(f5(x7261),x7263),f39(f39(f5(x7261),x7262),x7264))) % 0.33/0.60 [727]~P33(x7271)+E(f39(f39(f5(x7271),x7272),f39(f39(f5(x7271),x7273),x7274)),f39(f39(f5(x7271),x7273),f39(f39(f5(x7271),x7272),x7274))) % 0.33/0.60 [728]~P16(x7281)+E(f39(f39(f5(x7281),x7282),f39(f39(f5(x7281),x7283),x7284)),f39(f39(f5(x7281),x7283),f39(f39(f5(x7281),x7282),x7284))) % 0.33/0.60 [865]~P2(x8651)+E(f40(f39(f39(f5(x8651),x8652),x8653),f39(f39(f5(x8651),x8654),x8653),x8651),f39(f39(f5(x8651),f40(x8652,x8654,x8651)),x8653)) % 0.33/0.60 [868]E(x8681,f4(a3))+E(f24(x8682,f31(f6(x8681,f11(a3),a3),x8683,x8684),x8684),f31(x8681,f24(x8682,x8683,x8684),x8684)) % 0.33/0.60 [896]~P11(f39(f39(f5(a3),x8961),x8964),f13(x8962,f48(x8963)),a3)+E(f22(f31(x8961,x8962,x8963),f31(x8964,f19(x8961,x8962,x8963),x8963),x8963),f31(f39(f39(f5(a3),x8961),x8964),x8962,x8963)) % 0.33/0.60 [930]~P27(x9301)+E(f25(f5(x9301),f39(f39(f5(x9301),x9302),x9303),x9304,x9301,x9301),f39(f39(f5(x9301),x9302),f25(f5(x9301),x9303,x9304,x9301,x9301))) % 0.33/0.60 [821]~P3(x8211)+E(f39(f39(f5(x8211),f39(f39(f5(x8211),x8212),x8213)),x8214),f39(f39(f5(x8211),x8212),f39(f39(f5(x8211),x8213),x8214))) % 0.33/0.60 [822]~P33(x8221)+E(f39(f39(f5(x8221),f39(f39(f5(x8221),x8222),x8223)),x8224),f39(f39(f5(x8221),x8222),f39(f39(f5(x8221),x8223),x8224))) % 0.33/0.60 [823]~P15(x8231)+E(f39(f39(f5(x8231),f39(f39(f5(x8231),x8232),x8233)),x8234),f39(f39(f5(x8231),x8232),f39(f39(f5(x8231),x8233),x8234))) % 0.33/0.60 [863]~P33(x8631)+E(f39(f39(f5(x8631),f39(f39(f5(x8631),x8632),x8633)),x8634),f39(f39(f5(x8631),f39(f39(f5(x8631),x8632),x8634)),x8633)) % 0.33/0.60 [906]~P6(x9062,f39(f39(f5(a3),x9064),f11(a3)),a3)+E(f39(f39(f39(a23,f39(f39(a21,x9061),x9062)),f39(f39(a21,x9063),x9062)),f39(f39(f5(a3),x9064),f11(a3))),f39(f39(a21,f39(f39(f39(a23,x9061),x9063),x9064)),x9062)) % 0.33/0.60 [908]~P6(x9081,f13(x9082,f48(x9083)),a3)+E(f22(f31(x9081,x9082,x9083),f24(x9084,f19(f39(f39(f5(a3),x9081),f11(a3)),x9082,x9083),x9083),x9083),f29(x9082,x9081,x9084,x9083)) % 0.33/0.60 [917]~P6(x9174,f39(f39(f5(a3),x9172),f11(a3)),a3)+E(f39(f39(f39(a23,f39(f39(a21,x9171),f39(f39(f5(a3),x9172),f11(a3)))),f39(f39(a21,x9173),x9172)),x9174),f39(f39(a21,f39(f39(f39(a23,x9171),x9173),x9174)),x9172)) % 0.33/0.60 [583]E(x5831,x5832)+~E(f24(x5833,x5831,x5834),f24(x5835,x5832,x5834)) % 0.33/0.60 [585]E(x5851,x5852)+~E(f24(x5851,x5853,x5854),f24(x5852,x5855,x5854)) % 0.33/0.60 [586]E(x5861,x5862)+~E(f27(x5861,x5863,x5864),f27(x5862,x5865,x5864)) % 0.33/0.60 [880]~P6(x8805,x8802,a3)+E(f39(f42(x8801,x8802,x8803,x8804),x8805),f39(x8801,x8805)) % 0.33/0.60 [886]~P9(x8861,x8864,x8865)+P9(f42(x8861,x8862,x8863,a51),f39(f39(a21,x8864),x8862),x8865) % 0.33/0.60 [892]~E(f28(x8924,x8921,x8922,x8925),f28(x8924,x8923,x8922,x8925))+E(f13(x8921,f48(x8922)),f13(x8923,f48(x8922))) % 0.33/0.60 [902]~P6(x9024,f13(x9021,f48(x9023)),a3)+E(f29(f22(x9021,x9022,x9023),x9024,x9025,x9023),f22(f29(x9021,x9024,x9025,x9023),x9022,x9023)) % 0.33/0.60 [943]E(f28(x9431,x9432,x9433,x9434),f28(x9435,x9432,x9433,x9434))+~E(f39(x9431,f34(x9431,x9435,x9432,x9433,x9434)),f39(x9435,f34(x9431,x9435,x9432,x9433,x9434))) % 0.33/0.60 [944]E(f28(x9441,x9442,x9443,x9444),f28(x9445,x9442,x9443,x9444))+~E(f39(x9441,f35(x9441,x9445,x9442,x9443,x9444)),f39(x9445,f35(x9441,x9445,x9442,x9443,x9444))) % 0.33/0.60 [945]E(f28(x9451,x9452,x9453,x9454),f28(x9455,x9452,x9453,x9454))+~E(f39(x9451,f36(x9451,x9455,x9452,x9453,x9454)),f39(x9455,f36(x9451,x9455,x9452,x9453,x9454))) % 0.33/0.60 [870]E(x8701,x8702)+~E(f22(x8703,f24(x8701,f14(x8704),x8704),x8704),f22(x8705,f24(x8702,f14(x8704),x8704),x8704)) % 0.33/0.60 [871]E(x8711,x8712)+~E(f22(x8711,f24(x8713,f14(x8714),x8714),x8714),f22(x8712,f24(x8715,f14(x8714),x8714),x8714)) % 0.33/0.60 [887]~P6(x8872,x8875,a3)+E(f39(f42(x8871,x8872,x8873,x8874),x8875),f39(x8871,f6(x8875,f11(a3),a3))) % 0.33/0.60 [927]~P13(x9271,x9274,x9275)+P13(f42(x9271,x9272,x9273,a51),f28(f39(f8(a21,a49,a3,a49),x9272),x9274,a49,a49),x9275) % 0.33/0.60 [888]~P33(x8881)+E(f39(f39(f5(x8881),f39(f39(f5(x8881),x8882),x8883)),f39(f39(f5(x8881),x8884),x8885)),f39(f39(f5(x8881),f39(f39(f5(x8881),x8882),x8884)),f39(f39(f5(x8881),x8883),x8885))) % 0.33/0.60 [923]P43(f39(x9231,f39(f39(x9232,x9233),x9234)))+~P43(f39(x9231,f46(x9235,x9232,f39(f39(a47,x9233),x9234),a50))) % 0.33/0.60 [909]P6(x9093,f13(x9091,f48(x9094)),a3)+E(f22(x9091,f29(x9092,f6(x9093,f13(x9091,f48(x9094)),a3),x9095,x9094),x9094),f29(f22(x9091,x9092,x9094),x9093,x9095,x9094)) % 0.33/0.60 [936]~P6(x9363,f39(f39(f5(a3),x9364),f11(a3)),a3)+E(f39(f39(f39(a23,f39(f39(f39(a23,x9361),f39(f39(a21,x9362),x9363)),f39(f39(f5(a3),x9364),f11(a3)))),f39(f39(f39(a23,x9365),x9362),x9364)),x9363),f39(f39(f39(a23,f39(f39(f39(a23,x9361),x9365),x9363)),x9362),x9364)) % 0.33/0.60 [913]E(x9131,x9132)+E(f29(f29(x9133,x9131,x9134,x9135),x9132,x9136,x9135),f29(f29(x9133,x9132,x9136,x9135),x9131,x9134,x9135)) % 0.33/0.60 [947]~P7(x9474,x9471,x9475,x9476,x9472,x9477)+E(f39(f39(x9471,x9472),x9473),x9473) % 0.33/0.60 [948]~P7(x9484,x9481,x9485,x9483,x9486,x9487)+E(f39(f39(x9481,x9482),x9483),x9483) % 0.33/0.60 [950]~P7(x9501,x9504,x9505,x9502,x9506,x9507)+E(f39(f39(x9501,x9502),x9503),x9503) % 0.33/0.60 [951]~P7(x9514,x9511,x9515,x9516,x9513,x9517)+E(f39(f39(x9511,x9512),x9513),x9512) % 0.33/0.60 [953]~P7(x9534,x9531,x9535,x9532,x9536,x9537)+E(f39(f39(x9531,x9532),x9533),x9532) % 0.33/0.60 [954]~P7(x9541,x9544,x9545,x9543,x9546,x9547)+E(f39(f39(x9541,x9542),x9543),x9542) % 0.33/0.60 [955]~P7(x9554,x9555,x9551,x9556,x9553,x9557)+E(f39(f39(x9551,x9552),f4(a3)),x9553) % 0.33/0.60 [956]~P7(x9563,x9564,x9561,x9565,x9566,x9567)+E(f39(f39(x9561,x9562),f11(a3)),x9562) % 0.33/0.60 [961]~P7(x9611,x9613,x9615,x9616,x9614,x9617)+E(f39(f39(x9611,x9612),x9612),f39(f39(x9613,f39(f39(x9611,x9614),x9614)),x9612)) % 0.33/0.60 [958]~P7(x9584,x9581,x9585,x9586,x9587,x9588)+E(f39(f39(x9581,x9582),x9583),f39(f39(x9581,x9583),x9582)) % 0.33/0.60 [960]~P7(x9601,x9604,x9605,x9606,x9607,x9608)+E(f39(f39(x9601,x9602),x9603),f39(f39(x9601,x9603),x9602)) % 0.33/0.60 [964]~P7(x9645,x9641,x9643,x9646,x9647,x9648)+E(f39(f39(x9641,x9642),f39(f39(x9643,x9642),x9644)),f39(f39(x9643,x9642),f39(f39(f5(a3),x9644),f11(a3)))) % 0.33/0.60 [966]~P7(x9665,x9664,x9661,x9666,x9667,x9668)+E(f39(f39(x9661,x9662),f39(f39(f5(a3),x9663),f11(a3))),f39(f39(x9664,x9662),f39(f39(x9661,x9662),x9663))) % 0.33/0.60 [967]~P7(x9671,x9673,x9676,x9677,x9675,x9678)+E(f39(f39(x9671,x9672),f39(f39(x9673,x9674),x9672)),f39(f39(x9673,f39(f39(x9671,x9674),x9675)),x9672)) % 0.33/0.60 [974]~P7(x9745,x9741,x9742,x9746,x9747,x9748)+E(f39(f39(x9741,f39(f39(x9742,x9743),x9744)),x9743),f39(f39(x9742,x9743),f39(f39(f5(a3),x9744),f11(a3)))) % 0.33/0.60 [975]~P7(x9751,x9752,x9756,x9757,x9755,x9758)+E(f39(f39(x9751,f39(f39(x9752,x9753),x9754)),x9754),f39(f39(x9752,f39(f39(x9751,x9753),x9755)),x9754)) % 0.33/0.60 [935]~E(f10(x9351,x9352,x9356,x9357,x9358),f10(x9354,x9355,x9359,x9357,x9358))+E(f39(x9351,f39(x9352,x9353)),f39(x9354,f39(x9355,x9353))) % 0.33/0.60 [962]~P7(x9625,x9621,x9626,x9627,x9628,x9629)+E(f39(f39(x9621,x9622),f39(f39(x9621,x9623),x9624)),f39(f39(x9621,x9623),f39(f39(x9621,x9622),x9624))) % 0.33/0.60 [963]~P7(x9631,x9635,x9636,x9637,x9638,x9639)+E(f39(f39(x9631,x9632),f39(f39(x9631,x9633),x9634)),f39(f39(x9631,x9633),f39(f39(x9631,x9632),x9634))) % 0.33/0.60 [978]~P7(x9781,x9782,x9786,x9787,x9788,x9789)+E(f39(f39(x9781,f39(f39(x9782,x9783),x9784)),f39(f39(x9782,x9783),x9785)),f39(f39(x9782,x9783),f39(f39(x9781,x9784),x9785))) % 0.33/0.60 [972]~P7(x9725,x9721,x9726,x9727,x9728,x9729)+E(f39(f39(x9721,f39(f39(x9721,x9722),x9723)),x9724),f39(f39(x9721,x9722),f39(f39(x9721,x9723),x9724))) % 0.33/0.60 [973]~P7(x9731,x9735,x9736,x9737,x9738,x9739)+E(f39(f39(x9731,f39(f39(x9731,x9732),x9733)),x9734),f39(f39(x9731,x9732),f39(f39(x9731,x9733),x9734))) % 0.33/0.60 [976]~P7(x9765,x9761,x9766,x9767,x9768,x9769)+E(f39(f39(x9761,f39(f39(x9761,x9762),x9763)),x9764),f39(f39(x9761,f39(f39(x9761,x9762),x9764)),x9763)) % 0.33/0.60 [977]~P7(x9771,x9775,x9776,x9777,x9778,x9779)+E(f39(f39(x9771,f39(f39(x9771,x9772),x9773)),x9774),f39(f39(x9771,f39(f39(x9771,x9772),x9774)),x9773)) % 0.33/0.60 [979]~P7(x9796,x9791,x9792,x9797,x9798,x9799)+E(f39(f39(x9791,f39(f39(x9792,x9793),x9794)),f39(f39(x9792,x9793),x9795)),f39(f39(x9792,x9793),f39(f39(f5(a3),x9794),x9795))) % 0.33/0.60 [980]~P7(x9806,x9801,x9802,x9807,x9808,x9809)+E(f39(f39(x9801,f39(f39(x9802,x9803),x9804)),f39(f39(x9802,x9805),x9804)),f39(f39(x9802,f39(f39(x9801,x9803),x9805)),x9804)) % 0.33/0.60 [982]~P7(x9821,x9822,x9826,x9827,x9828,x9829)+E(f39(f39(x9821,f39(f39(x9822,x9823),x9824)),f39(f39(x9822,x9825),x9824)),f39(f39(x9822,f39(f39(x9821,x9823),x9825)),x9824)) % 0.33/0.60 [984]~P7(x9846,x9841,x9847,x9848,x9849,x98410)+E(f39(f39(x9841,f39(f39(x9841,x9842),x9843)),f39(f39(x9841,x9844),x9845)),f39(f39(x9841,f39(f39(x9841,x9842),x9844)),f39(f39(x9841,x9843),x9845))) % 0.33/0.60 [985]~P7(x9851,x9856,x9857,x9858,x9859,x98510)+E(f39(f39(x9851,f39(f39(x9851,x9852),x9853)),f39(f39(x9851,x9854),x9855)),f39(f39(x9851,f39(f39(x9851,x9852),x9854)),f39(f39(x9851,x9853),x9855))) % 0.33/0.60 [940]~E(f39(x9401,f39(x9402,x9406)),f39(x9407,f39(x9408,x94011)))+E(f39(f10(x9401,x9402,x9403,x9404,x9405),x9406),f39(f10(x9407,x9408,x9409,x9404,x94010),x94011)) % 0.33/0.60 [616]~P28(x6161)+~P11(f4(x6161),f4(x6161),x6161)+E(f39(f39(f5(x6161),f4(x6161)),f4(x6161)),f4(x6161)) % 0.33/0.60 [513]E(x5131,x5132)+P6(x5132,x5131,a3)+P6(x5131,x5132,a3) % 0.33/0.60 [547]E(x5471,x5472)+P6(x5471,x5472,a3)+~P11(x5471,x5472,a3) % 0.33/0.60 [582]E(x5821,x5822)+~P11(x5822,x5821,a3)+~P11(x5821,x5822,a3) % 0.33/0.60 [470]~P36(x4702)+~P14(x4702)+E(f6(x4701,x4701,x4702),f4(x4702)) % 0.33/0.60 [593]E(x5931,x5932)+~E(f6(x5932,x5931,a3),f4(a3))+~E(f6(x5931,x5932,a3),f4(a3)) % 0.33/0.60 [614]~P1(x6141)+P6(f4(x6141),f37(x6142,x6141),x6141)+~P6(f4(a3),x6142,a3) % 0.33/0.60 [622]~P1(x6222)+~P6(f4(x6222),f37(x6221,x6222),x6222)+P6(f4(a3),x6221,a3) % 0.33/0.60 [761]P6(f6(x7611,x7612,a3),x7611,a3)+~P6(f4(a3),x7612,a3)+~P6(f4(a3),x7611,a3) % 0.33/0.60 [471]~P36(x4711)+~P14(x4711)+E(f39(f39(f5(x4711),x4712),f4(x4711)),x4712) % 0.33/0.60 [539]P43(f39(x5391,x5392))+P43(f39(x5391,f61(x5391)))+~P43(f39(x5391,f4(a3))) % 0.33/0.60 [540]P43(f39(x5401,x5402))+P43(f39(x5401,f62(x5401)))+~P43(f39(x5401,f4(a3))) % 0.33/0.60 [562]P6(f4(a3),f9(x5621),a3)+P43(f39(x5621,x5622))+~P43(f39(x5621,f4(a3))) % 0.33/0.60 [571]P43(f39(x5711,x5712))+~P43(f39(x5711,f9(x5711)))+~P43(f39(x5711,f4(a3))) % 0.33/0.60 [707]~P6(x7071,x7072,a3)+P6(f39(f39(f5(a3),x7071),f11(a3)),x7072,a3)+E(f39(f39(f5(a3),x7071),f11(a3)),x7072) % 0.33/0.60 [713]E(x7131,x7132)+P6(x7132,x7131,a3)+~P6(x7132,f39(f39(f5(a3),x7131),f11(a3)),a3) % 0.33/0.60 [715]E(x7151,x7152)+P6(x7151,x7152,a3)+~P6(x7151,f39(f39(f5(a3),x7152),f11(a3)),a3) % 0.33/0.60 [746]E(x7461,x7462)+~P11(x7462,x7461,a3)+~P6(x7461,f39(f39(f5(a3),x7462),f11(a3)),a3) % 0.33/0.60 [765]P11(x7651,x7652,a3)+~P11(x7651,f39(f39(f5(a3),x7652),f11(a3)),a3)+E(x7651,f39(f39(f5(a3),x7652),f11(a3))) % 0.33/0.60 [504]~P22(x5042)+E(x5041,f4(x5042))+~E(f39(f39(f5(x5042),x5041),x5041),f4(x5042)) % 0.33/0.60 [577]E(x5771,f4(a3))+E(x5772,f4(a3))+~E(f39(f39(f5(a3),x5772),x5771),f39(f39(f5(a3),f4(a3)),f11(a3))) % 0.33/0.60 [578]E(x5781,f4(a3))+E(x5782,f4(a3))+~E(f39(f39(f5(a3),f4(a3)),f11(a3)),f39(f39(f5(a3),x5782),x5781)) % 0.33/0.60 [591]~P38(x5911)+~P30(x5911)+E(f43(f4(x5911),f39(f39(f5(a3),x5912),f11(a3)),x5911),f4(x5911)) % 0.33/0.60 [641]E(x6411,f4(a3))+E(x6411,f39(f39(f5(a3),f4(a3)),f11(a3)))+~E(f39(f39(f5(a3),x6412),x6411),f39(f39(f5(a3),f4(a3)),f11(a3))) % 0.33/0.60 [642]E(x6421,f4(a3))+E(x6421,f39(f39(f5(a3),f4(a3)),f11(a3)))+~E(f39(f39(f5(a3),x6421),x6422),f39(f39(f5(a3),f4(a3)),f11(a3))) % 0.33/0.60 [643]E(x6431,f4(a3))+E(x6431,f39(f39(f5(a3),f4(a3)),f11(a3)))+~E(f39(f39(f5(a3),f4(a3)),f11(a3)),f39(f39(f5(a3),x6432),x6431)) % 0.33/0.60 [644]E(x6441,f4(a3))+E(x6441,f39(f39(f5(a3),f4(a3)),f11(a3)))+~E(f39(f39(f5(a3),f4(a3)),f11(a3)),f39(f39(f5(a3),x6441),x6442)) % 0.33/0.60 [691]~P22(x6911)+~P11(f4(x6911),x6912,x6911)+P11(f4(x6911),f39(f39(f5(x6911),x6912),x6912),x6911) % 0.33/0.60 [692]~P22(x6921)+~P6(f4(x6921),x6922,x6921)+P6(f4(x6921),f39(f39(f5(x6921),x6922),x6922),x6921) % 0.33/0.60 [693]~P22(x6931)+~P11(x6932,f4(x6931),x6931)+P11(f39(f39(f5(x6931),x6932),x6932),f4(x6931),x6931) % 0.33/0.60 [694]~P22(x6941)+~P6(x6942,f4(x6941),x6941)+P6(f39(f39(f5(x6941),x6942),x6942),f4(x6941),x6941) % 0.33/0.60 [695]~P37(x6951)+~P6(x6952,f4(x6951),x6951)+P6(f39(f39(f5(x6951),x6952),x6952),f4(x6951),x6951) % 0.33/0.60 [699]E(x6991,f39(f39(f5(a3),f4(a3)),f11(a3)))+E(x6992,f39(f39(f5(a3),f4(a3)),f11(a3)))+~E(f39(f39(f5(a3),x6992),x6991),f39(f39(f5(a3),f4(a3)),f11(a3))) % 0.33/0.60 [700]E(x7001,f39(f39(f5(a3),f4(a3)),f11(a3)))+E(x7002,f39(f39(f5(a3),f4(a3)),f11(a3)))+~E(f39(f39(f5(a3),f4(a3)),f11(a3)),f39(f39(f5(a3),x7002),x7001)) % 0.33/0.60 [747]~P22(x7472)+P11(x7471,f4(x7472),x7472)+~P11(f39(f39(f5(x7472),x7471),x7471),f4(x7472),x7472) % 0.33/0.60 [748]~P22(x7482)+P6(x7481,f4(x7482),x7482)+~P6(f39(f39(f5(x7482),x7481),x7481),f4(x7482),x7482) % 0.33/0.60 [749]~P37(x7492)+P6(x7491,f4(x7492),x7492)+~P6(f39(f39(f5(x7492),x7491),x7491),f4(x7492),x7492) % 0.33/0.60 [750]~P22(x7501)+P11(f4(x7501),x7502,x7501)+~P11(f4(x7501),f39(f39(f5(x7501),x7502),x7502),x7501) % 0.33/0.60 [751]~P22(x7511)+P6(f4(x7511),x7512,x7511)+~P6(f4(x7511),f39(f39(f5(x7511),x7512),x7512),x7511) % 0.33/0.60 [770]P6(f4(a3),x7701,a3)+P6(f4(a3),x7702,a3)+~P6(f4(a3),f39(f39(f5(a3),x7701),x7702),a3) % 0.33/0.60 [861]P43(f39(x8611,x8612))+~P43(f39(x8611,f4(a3)))+~P43(f39(x8611,f39(f39(f5(a3),f61(x8611)),f11(a3)))) % 0.33/0.60 [862]P43(f39(x8621,x8622))+~P43(f39(x8621,f4(a3)))+~P43(f39(x8621,f39(f39(f5(a3),f62(x8621)),f11(a3)))) % 0.33/0.60 [521]P11(x5212,x5211,x5213)+~P25(x5213)+P11(x5211,x5212,x5213) % 0.33/0.60 [524]P6(x5242,x5241,x5243)+~P25(x5243)+P11(x5241,x5242,x5243) % 0.33/0.60 [556]~P31(x5563)+~P6(x5561,x5562,x5563)+P11(x5561,x5562,x5563) % 0.33/0.60 [557]~P32(x5573)+~P6(x5571,x5572,x5573)+P11(x5571,x5572,x5573) % 0.33/0.60 [598]~P6(x5983,x5982,x5981)+~P25(x5981)+~P11(x5982,x5983,x5981) % 0.33/0.60 [600]~P6(x6003,x6002,x6001)+~P25(x6001)+~P6(x6002,x6003,x6001) % 0.33/0.60 [601]~P6(x6013,x6012,x6011)+~P31(x6011)+~P11(x6012,x6013,x6011) % 0.33/0.60 [603]~P6(x6033,x6032,x6031)+~P31(x6031)+~P6(x6032,x6033,x6031) % 0.33/0.60 [604]~P6(x6043,x6042,x6041)+~P32(x6041)+~P6(x6042,x6043,x6041) % 0.33/0.60 [645]~P11(x6451,x6453,a3)+P11(x6451,x6452,a3)+~P11(x6453,x6452,a3) % 0.33/0.60 [446]~P4(x4463)+E(x4461,x4462)+~E(f37(x4461,x4463),f37(x4462,x4463)) % 0.33/0.60 [505]~E(f31(x5053,x5051,x5052),f14(x5052))+E(x5051,f14(x5052))+E(x5053,f4(a3)) % 0.33/0.60 [506]~P21(x5063)+E(x5061,x5062)+~E(f6(x5061,x5062,x5063),f4(x5063)) % 0.33/0.60 [507]~P16(x5073)+E(x5071,x5072)+~E(f6(x5071,x5072,x5073),f4(x5073)) % 0.33/0.60 [509]~P39(x5092)+~E(f43(x5091,x5093,x5092),f4(x5092))+E(x5091,f4(x5092)) % 0.33/0.60 [559]~P25(x5593)+~P11(x5591,x5592,x5593)+E(f40(x5591,x5592,x5593),x5592) % 0.33/0.60 [560]~P25(x5603)+~P11(x5602,x5601,x5603)+E(f40(x5601,x5602,x5603),x5601) % 0.33/0.60 [561]~P25(x5613)+P11(x5611,x5612,x5613)+~E(f40(x5611,x5612,x5613),x5612) % 0.33/0.60 [618]~P1(x6182)+~P11(x6181,x6183,a3)+P11(f37(x6181,x6182),f37(x6183,x6182),x6182) % 0.33/0.60 [619]~P1(x6192)+~P6(x6191,x6193,a3)+P6(f37(x6191,x6192),f37(x6193,x6192),x6192) % 0.33/0.60 [655]~P1(x6553)+~P11(f37(x6551,x6553),f37(x6552,x6553),x6553)+P11(x6551,x6552,a3) % 0.33/0.60 [656]~P1(x6563)+~P6(f37(x6561,x6563),f37(x6562,x6563),x6563)+P6(x6561,x6562,a3) % 0.33/0.60 [689]~P24(x6893)+~P11(x6891,x6892,x6893)+P11(f6(x6891,x6892,x6893),f4(x6893),x6893) % 0.33/0.60 [690]~P24(x6903)+~P6(x6901,x6902,x6903)+P6(f6(x6901,x6902,x6903),f4(x6903),x6903) % 0.33/0.60 [696]~P1(x6961)+~P11(f4(x6961),x6962,x6961)+P11(f4(x6961),f43(x6962,x6963,x6961),x6961) % 0.33/0.60 [697]~P1(x6971)+~P11(f11(x6971),x6972,x6971)+P11(f11(x6971),f43(x6972,x6973,x6971),x6971) % 0.33/0.60 [698]~P1(x6981)+~P6(f4(x6981),x6982,x6981)+P6(f4(x6981),f43(x6982,x6983,x6981),x6981) % 0.33/0.60 [752]~P24(x7523)+P11(x7521,x7522,x7523)+~P11(f6(x7521,x7522,x7523),f4(x7523),x7523) % 0.33/0.60 [753]~P24(x7533)+P6(x7531,x7532,x7533)+~P6(f6(x7531,x7532,x7533),f4(x7533),x7533) % 0.33/0.60 [827]~P11(x8272,x8271,a3)+~P6(x8271,x8273,a3)+P6(f6(x8271,x8272,a3),f6(x8273,x8272,a3),a3) % 0.33/0.60 [828]~P6(x8283,x8282,a3)+~P6(x8283,x8281,a3)+P6(f6(x8281,x8282,a3),f6(x8281,x8283,a3),a3) % 0.33/0.60 [724]~P40(x7242)+~P11(x7243,x7241,a3)+E(f6(f37(x7241,x7242),f37(x7243,x7242),x7242),f37(f6(x7241,x7243,a3),x7242)) % 0.33/0.60 [739]~P6(x7391,x7393,a3)+~P6(x7393,x7392,a3)+P6(f39(f39(f5(a3),x7391),f11(a3)),x7392,a3) % 0.33/0.60 [855]~P11(x8552,x8553,a3)+~P11(x8552,x8551,a3)+E(f6(f6(x8551,x8552,a3),f6(x8553,x8552,a3),a3),f6(x8551,x8553,a3)) % 0.33/0.60 [857]~P6(x8572,x8573,a3)+~P43(f39(x8571,f6(x8572,x8573,a3)))+P43(f39(x8571,f4(a3))) % 0.33/0.60 [725]~P11(x7251,x7252,a3)+~P6(f4(a3),x7253,a3)+P6(x7251,f39(f39(f5(a3),x7252),x7253),a3) % 0.33/0.60 [845]~P1(x8451)+~P6(f11(x8451),x8452,x8451)+P6(f11(x8451),f43(x8452,f39(f39(f5(a3),x8453),f11(a3)),x8451),x8451) % 0.33/0.60 [846]~P11(x8463,x8462,a3)+P11(x8461,f6(x8462,x8463,a3),a3)+~P11(f39(f39(f5(a3),x8461),x8463),x8462,a3) % 0.33/0.60 [852]~P11(x8522,x8523,a3)+~P11(x8521,f6(x8523,x8522,a3),a3)+P11(f39(f39(f5(a3),x8521),x8522),x8523,a3) % 0.33/0.60 [581]E(x5811,x5812)+P6(x5812,x5811,a3)+E(f39(f39(f39(a23,f16(x5811)),x5813),x5812),f16(x5811)) % 0.33/0.60 [988]~P43(f39(a15,x9882))+~P43(f39(a15,f25(a17,f39(f39(f39(a23,x9881),x9882),f4(a3)),x9883,a49,a49)))+P43(f39(a15,f25(a17,f39(f39(a17,f18(x9881)),x9882),x9883,a49,a49))) % 0.33/0.60 [574]~P9(x5741,x5744,x5743)+P9(x5741,x5742,x5743)+~P8(x5744,x5742) % 0.33/0.60 [608]~P16(x6084)+E(x6081,x6082)+~E(f6(x6083,x6083,x6084),f6(x6081,x6082,x6084)) % 0.33/0.60 [609]~P16(x6093)+E(x6091,x6092)+~E(f6(x6091,x6092,x6093),f6(x6094,x6094,x6093)) % 0.33/0.60 [680]~P25(x6804)+~P11(x6801,x6803,x6804)+P11(x6801,f40(x6802,x6803,x6804),x6804) % 0.33/0.60 [682]~P25(x6824)+~P11(x6821,x6822,x6824)+P11(x6821,f40(x6822,x6823,x6824),x6824) % 0.33/0.60 [684]~P25(x6844)+~P6(x6841,x6843,x6844)+P6(x6841,f40(x6842,x6843,x6844),x6844) % 0.33/0.60 [686]~P25(x6864)+~P6(x6861,x6862,x6864)+P6(x6861,f40(x6862,x6863,x6864),x6864) % 0.33/0.60 [730]~P25(x7303)+P11(x7301,x7302,x7303)+~P11(f40(x7304,x7301,x7303),x7302,x7303) % 0.33/0.60 [732]~P25(x7323)+P11(x7321,x7322,x7323)+~P11(f40(x7321,x7324,x7323),x7322,x7323) % 0.33/0.60 [733]~P25(x7333)+P6(x7331,x7332,x7333)+~P6(f40(x7334,x7331,x7333),x7332,x7333) % 0.33/0.60 [734]~P25(x7343)+P6(x7341,x7342,x7343)+~P6(f40(x7341,x7344,x7343),x7342,x7343) % 0.33/0.60 [760]~P10(x7601,x7603,x7604)+~P10(x7601,x7602,x7604)+P10(x7601,f22(x7602,x7603,x7604),x7604) % 0.33/0.60 [535]P43(f39(x5351,x5352))+P43(f39(x5351,x5353))+~E(f44(x5351),f39(f39(a47,x5354),x5353)) % 0.33/0.60 [536]P43(f39(x5361,x5362))+P43(f39(x5361,x5363))+~E(f44(x5361),f39(f39(a47,x5363),x5364)) % 0.33/0.60 [588]~P17(x5883)+E(x5881,x5882)+~E(f39(f39(f5(x5883),x5884),x5881),f39(f39(f5(x5883),x5884),x5882)) % 0.33/0.60 [589]~P18(x5893)+E(x5891,x5892)+~E(f39(f39(f5(x5893),x5894),x5891),f39(f39(f5(x5893),x5894),x5892)) % 0.33/0.60 [590]~P18(x5903)+E(x5901,x5902)+~E(f39(f39(f5(x5903),x5901),x5904),f39(f39(f5(x5903),x5902),x5904)) % 0.33/0.60 [706]~P6(x7064,x7063,a3)+P6(x7061,x7062,a3)+~E(f39(f39(f5(a3),x7061),x7063),f39(f39(f5(a3),x7064),x7062)) % 0.33/0.60 [774]~P2(x7741)+~P11(x7742,x7744,x7741)+P11(f39(f39(f5(x7741),x7742),x7743),f39(f39(f5(x7741),x7744),x7743),x7741) % 0.33/0.60 [775]~P19(x7751)+~P11(x7752,x7754,x7751)+P11(f39(f39(f5(x7751),x7752),x7753),f39(f39(f5(x7751),x7754),x7753),x7751) % 0.33/0.60 [776]~P2(x7761)+~P11(x7763,x7764,x7761)+P11(f39(f39(f5(x7761),x7762),x7763),f39(f39(f5(x7761),x7762),x7764),x7761) % 0.33/0.60 [777]~P19(x7771)+~P11(x7773,x7774,x7771)+P11(f39(f39(f5(x7771),x7772),x7773),f39(f39(f5(x7771),x7772),x7774),x7771) % 0.33/0.60 [778]~P2(x7781)+~P6(x7782,x7784,x7781)+P6(f39(f39(f5(x7781),x7782),x7783),f39(f39(f5(x7781),x7784),x7783),x7781) % 0.33/0.60 [779]~P29(x7791)+~P6(x7792,x7794,x7791)+P6(f39(f39(f5(x7791),x7792),x7793),f39(f39(f5(x7791),x7794),x7793),x7791) % 0.33/0.60 [780]~P2(x7801)+~P6(x7803,x7804,x7801)+P6(f39(f39(f5(x7801),x7802),x7803),f39(f39(f5(x7801),x7802),x7804),x7801) % 0.33/0.60 [781]~P29(x7811)+~P6(x7813,x7814,x7811)+P6(f39(f39(f5(x7811),x7812),x7813),f39(f39(f5(x7811),x7812),x7814),x7811) % 0.33/0.60 [816]~P11(x8162,x8164,a3)+~P11(x8161,x8163,a3)+P11(f39(f39(f5(a3),x8161),x8162),f39(f39(f5(a3),x8163),x8164),a3) % 0.33/0.60 [817]~P6(x8172,x8174,a3)+~P6(x8171,x8173,a3)+P6(f39(f39(f5(a3),x8171),x8172),f39(f39(f5(a3),x8173),x8174),a3) % 0.33/0.60 [848]~P2(x8483)+P11(x8481,x8482,x8483)+~P11(f39(f39(f5(x8483),x8484),x8481),f39(f39(f5(x8483),x8484),x8482),x8483) % 0.33/0.60 [849]~P2(x8493)+P11(x8491,x8492,x8493)+~P11(f39(f39(f5(x8493),x8491),x8494),f39(f39(f5(x8493),x8492),x8494),x8493) % 0.33/0.60 [850]~P2(x8503)+P6(x8501,x8502,x8503)+~P6(f39(f39(f5(x8503),x8504),x8501),f39(f39(f5(x8503),x8504),x8502),x8503) % 0.33/0.60 [851]~P2(x8513)+P6(x8511,x8512,x8513)+~P6(f39(f39(f5(x8513),x8511),x8514),f39(f39(f5(x8513),x8512),x8514),x8513) % 0.33/0.60 [893]P11(f13(x8933,f48(x8932)),f13(x8931,f48(x8932)),a3)+~E(f31(f13(x8931,f48(x8932)),x8933,x8932),x8931)+E(f22(x8931,f22(f19(f13(x8931,f48(x8932)),x8933,x8932),x8934,x8932),x8932),f22(x8933,x8934,x8932)) % 0.33/0.60 [897]~P11(f13(x8971,f48(x8972)),f13(x8973,f48(x8972)),a3)+~E(f31(f13(x8971,f48(x8972)),x8973,x8972),x8971)+E(f22(x8971,f22(f19(f13(x8971,f48(x8972)),x8973,x8972),x8974,x8972),x8972),f22(x8973,x8974,x8972)) % 0.33/0.60 [594]E(x5941,x5942)+~E(f27(x5943,x5941,x5944),f27(x5945,x5942,x5944))+E(x5943,f4(a3)) % 0.33/0.60 [818]~P9(x8181,x8183,x8185)+~P9(x8181,x8182,f39(f39(a47,x8185),x8184))+P9(x8181,f39(f39(a17,x8182),x8183),x8184) % 0.33/0.60 [941]E(x9411,x9412)+~P9(x9413,f25(a17,f16(x9414),x9415,a49,a49),x9411)+~P9(x9413,f25(a17,f16(x9414),x9415,a49,a49),x9412) % 0.33/0.60 [942]~P13(x9421,x9423,x9425)+P9(x9421,f25(a17,x9422,x9423,a49,a49),x9424)+~P9(x9421,x9422,f25(f8(a47,a51,a51,a51),x9424,f26(x9425,a51),a51,a51)) % 0.33/0.60 [811]~E(f22(x8113,x8114,x8112),f22(x8111,x8115,x8112))+P11(f13(x8113,f48(x8112)),f13(x8111,f48(x8112)),a3)+E(f31(f13(x8111,f48(x8112)),x8113,x8112),x8111) % 0.33/0.60 [847]~E(f22(x8471,x8474,x8472),f22(x8473,x8475,x8472))+~P11(f13(x8471,f48(x8472)),f13(x8473,f48(x8472)),a3)+E(f31(f13(x8471,f48(x8472)),x8473,x8472),x8471) % 0.33/0.60 [806]~P16(x8061)+E(f39(f39(f5(x8061),x8062),x8063),x8064)+~E(f39(f39(f5(x8061),x8062),f39(f39(f5(x8061),x8065),x8063)),f39(f39(f5(x8061),x8065),x8064)) % 0.33/0.60 [867]~E(f22(x8673,x8674,x8672),f22(x8671,x8675,x8672))+P11(f13(x8673,f48(x8672)),f13(x8671,f48(x8672)),a3)+E(f22(f19(f13(x8671,f48(x8672)),x8673,x8672),x8674,x8672),x8675) % 0.33/0.60 [881]~E(f22(x8812,x8811,x8813),f22(x8814,x8815,x8813))+~P11(f13(x8812,f48(x8813)),f13(x8814,f48(x8813)),a3)+E(x8811,f22(f19(f13(x8812,f48(x8813)),x8814,x8813),x8815,x8813)) % 0.33/0.60 [904]~P9(x9041,x9043,x9046)+~P9(f42(x9041,x9044,x9046,a51),x9042,x9045)+P9(x9041,f39(f39(f39(a23,x9042),x9043),x9044),x9045) % 0.33/0.60 [987]~P9(x9871,x9872,x9876)+~P13(f42(x9871,x9873,x9876,a51),x9874,x9875)+P13(x9871,f28(f39(f8(f39(f8(a23,a49,a49,f52(a3,a49)),x9872),a49,a3,a49),x9873),x9874,a49,a49),x9875) % 0.33/0.60 [482]~P38(x4822)+~P30(x4822)+E(x4821,f4(a3))+E(f43(f4(x4822),x4821,x4822),f4(x4822)) % 0.33/0.60 [533]P6(x5331,x5332,x5333)+~P25(x5333)+E(x5331,x5332)+P6(x5332,x5331,x5333) % 0.33/0.60 [534]P6(x5341,x5342,x5343)+~P37(x5343)+E(x5341,x5342)+P6(x5342,x5341,x5343) % 0.33/0.60 [564]~P25(x5643)+~P11(x5641,x5642,x5643)+E(x5641,x5642)+P6(x5641,x5642,x5643) % 0.33/0.60 [570]~P32(x5703)+~P11(x5701,x5702,x5703)+E(x5701,x5702)+P6(x5701,x5702,x5703) % 0.33/0.60 [613]~P11(x6132,x6131,x6133)+~P11(x6131,x6132,x6133)+E(x6131,x6132)+~P32(x6133) % 0.33/0.60 [628]P6(x6282,x6281,x6283)+~P31(x6283)+~P11(x6282,x6281,x6283)+P11(x6281,x6282,x6283) % 0.33/0.60 [511]~P36(x5113)+~P14(x5113)+E(x5111,x5112)+~E(f6(x5111,x5112,x5113),f4(x5113)) % 0.33/0.60 [762]E(x7621,x7622)+~P11(x7623,x7622,a3)+~P11(x7623,x7621,a3)+~E(f6(x7621,x7623,a3),f6(x7622,x7623,a3)) % 0.33/0.60 [788]~P1(x7881)+~P6(f11(x7881),x7882,x7881)+P6(f11(x7881),f43(x7882,x7883,x7881),x7881)+~P6(f4(a3),x7883,a3) % 0.33/0.60 [882]~P11(x8823,x8821,a3)+P11(x8821,x8822,a3)+~P11(x8823,x8822,a3)+~P11(f6(x8821,x8823,a3),f6(x8822,x8823,a3),a3) % 0.33/0.60 [883]~P11(x8833,x8831,a3)+P6(x8831,x8832,a3)+~P11(x8833,x8832,a3)+~P6(f6(x8831,x8833,a3),f6(x8832,x8833,a3),a3) % 0.33/0.60 [639]~P6(x6392,f9(x6391),a3)+P43(f39(x6391,x6392))+P43(f39(x6391,x6393))+~P43(f39(x6391,f4(a3))) % 0.33/0.60 [508]~P36(x5082)+~P14(x5082)+E(x5081,f4(x5082))+~E(f39(f39(f5(x5082),x5083),x5081),x5083) % 0.33/0.60 [789]~P28(x7891)+~P11(f4(x7891),x7893,x7891)+~P11(f4(x7891),x7892,x7891)+P11(f4(x7891),f39(f39(f5(x7891),x7892),x7893),x7891) % 0.33/0.60 [790]~P28(x7901)+~P11(f4(x7901),x7903,x7901)+~P6(f4(x7901),x7902,x7901)+P6(f4(x7901),f39(f39(f5(x7901),x7902),x7903),x7901) % 0.33/0.60 [791]~P28(x7911)+~P11(f4(x7911),x7912,x7911)+~P6(f4(x7911),x7913,x7911)+P6(f4(x7911),f39(f39(f5(x7911),x7912),x7913),x7911) % 0.33/0.60 [792]~P28(x7921)+~P6(f4(x7921),x7923,x7921)+~P6(f4(x7921),x7922,x7921)+P6(f4(x7921),f39(f39(f5(x7921),x7922),x7923),x7921) % 0.33/0.60 [793]~P28(x7931)+~P11(x7933,f4(x7931),x7931)+~P11(x7932,f4(x7931),x7931)+P11(f39(f39(f5(x7931),x7932),x7933),f4(x7931),x7931) % 0.33/0.60 [794]~P28(x7941)+~P11(x7943,f4(x7941),x7941)+~P6(x7942,f4(x7941),x7941)+P6(f39(f39(f5(x7941),x7942),x7943),f4(x7941),x7941) % 0.33/0.60 [795]~P28(x7951)+~P11(x7952,f4(x7951),x7951)+~P6(x7953,f4(x7951),x7951)+P6(f39(f39(f5(x7951),x7952),x7953),f4(x7951),x7951) % 0.33/0.60 [796]~P28(x7961)+~P6(x7963,f4(x7961),x7961)+~P6(x7962,f4(x7961),x7961)+P6(f39(f39(f5(x7961),x7962),x7963),f4(x7961),x7961) % 0.33/0.60 [874]~P1(x8743)+~P6(x8741,f11(x8743),x8743)+~P6(f4(x8743),x8741,x8743)+P6(f43(x8741,f39(f39(f5(a3),x8742),f11(a3)),x8743),f11(x8743),x8743) % 0.33/0.60 [663]~P31(x6633)+~P11(x6631,x6634,x6633)+P11(x6631,x6632,x6633)+~P11(x6634,x6632,x6633) % 0.33/0.60 [664]~P32(x6643)+~P11(x6641,x6644,x6643)+P11(x6641,x6642,x6643)+~P11(x6644,x6642,x6643) % 0.33/0.60 [665]~P31(x6653)+~P6(x6651,x6654,x6653)+P6(x6651,x6652,x6653)+~P11(x6654,x6652,x6653) % 0.33/0.60 [666]~P31(x6663)+~P6(x6664,x6662,x6663)+P6(x6661,x6662,x6663)+~P11(x6661,x6664,x6663) % 0.33/0.60 [667]~P31(x6673)+~P6(x6671,x6674,x6673)+P6(x6671,x6672,x6673)+~P6(x6674,x6672,x6673) % 0.33/0.60 [668]~P32(x6683)+~P6(x6681,x6684,x6683)+P6(x6681,x6682,x6683)+~P11(x6684,x6682,x6683) % 0.33/0.60 [669]~P32(x6693)+~P6(x6694,x6692,x6693)+P6(x6691,x6692,x6693)+~P11(x6691,x6694,x6693) % 0.33/0.60 [670]~P32(x6703)+~P6(x6701,x6704,x6703)+P6(x6701,x6702,x6703)+~P6(x6704,x6702,x6703) % 0.33/0.60 [702]~P1(x7024)+E(x7021,x7022)+~P6(f11(x7024),x7023,x7024)+~E(f43(x7023,x7021,x7024),f43(x7023,x7022,x7024)) % 0.33/0.60 [768]~P25(x7683)+~P11(x7682,x7684,x7683)+~P11(x7681,x7684,x7683)+P11(f40(x7681,x7682,x7683),x7684,x7683) % 0.33/0.60 [769]~P25(x7693)+~P6(x7692,x7694,x7693)+~P6(x7691,x7694,x7693)+P6(f40(x7691,x7692,x7693),x7694,x7693) % 0.33/0.60 [798]~P25(x7983)+P11(x7981,x7982,x7983)+P11(x7981,x7984,x7983)+~P11(x7981,f40(x7982,x7984,x7983),x7983) % 0.33/0.60 [799]~P25(x7993)+P6(x7991,x7992,x7993)+P6(x7991,x7994,x7993)+~P6(x7991,f40(x7992,x7994,x7993),x7993) % 0.33/0.60 [838]~P1(x8383)+~P11(x8382,x8384,a3)+~P11(f11(x8383),x8381,x8383)+P11(f43(x8381,x8382,x8383),f43(x8381,x8384,x8383),x8383) % 0.33/0.60 [839]~P1(x8393)+~P11(x8392,x8394,a3)+~P6(f11(x8393),x8391,x8393)+P11(f43(x8391,x8392,x8393),f43(x8391,x8394,x8393),x8393) % 0.33/0.60 [841]~P1(x8413)+~P6(x8412,x8414,a3)+~P6(f11(x8413),x8411,x8413)+P6(f43(x8411,x8412,x8413),f43(x8411,x8414,x8413),x8413) % 0.33/0.60 [842]~P1(x8423)+~P11(x8421,x8424,x8423)+~P11(f4(x8423),x8421,x8423)+P11(f43(x8421,x8422,x8423),f43(x8424,x8422,x8423),x8423) % 0.33/0.60 [876]~P1(x8763)+~P11(f43(x8764,x8761,x8763),f43(x8764,x8762,x8763),x8763)+P11(x8761,x8762,a3)+~P6(f11(x8763),x8764,x8763) % 0.33/0.60 [878]~P1(x8783)+~P6(f43(x8784,x8781,x8783),f43(x8784,x8782,x8783),x8783)+P6(x8781,x8782,a3)+~P6(f11(x8783),x8784,x8783) % 0.33/0.60 [879]~P1(x8793)+P6(x8791,x8792,x8793)+~P11(f4(x8793),x8792,x8793)+~P6(f43(x8791,x8794,x8793),f43(x8792,x8794,x8793),x8793) % 0.33/0.60 [610]~P36(x6103)+~P14(x6103)+E(x6101,x6102)+~E(f39(f39(f5(x6103),x6104),x6101),f39(f39(f5(x6103),x6104),x6102)) % 0.33/0.60 [773]~P1(x7732)+~P6(x7731,x7734,x7732)+~P6(f4(x7732),x7733,x7732)+P6(x7731,f39(f39(f5(x7732),x7733),x7734),x7732) % 0.33/0.60 [905]~P1(x9053)+P11(x9051,x9052,x9053)+~P11(f4(x9053),x9052,x9053)+~P11(f43(x9051,f39(f39(f5(a3),x9054),f11(a3)),x9053),f43(x9052,f39(f39(f5(a3),x9054),f11(a3)),x9053),x9053) % 0.33/0.60 [921]~E(f31(f13(x9211,f48(x9212)),x9213,x9212),x9211)+~E(f31(f13(x9213,f48(x9212)),x9211,x9212),x9213)+~E(f22(f19(f13(x9213,f48(x9212)),x9211,x9212),f22(f19(f13(x9211,f48(x9212)),x9213,x9212),x9214,x9212),x9212),x9214)+E(f22(x9211,f22(f19(f13(x9211,f48(x9212)),x9213,x9212),x9214,x9212),x9212),f22(x9213,x9214,x9212)) % 0.33/0.60 [742]~P24(x7423)+~P11(x7425,x7424,x7423)+P11(x7421,x7422,x7423)+~E(f6(x7424,x7425,x7423),f6(x7422,x7421,x7423)) % 0.33/0.60 [743]~P24(x7433)+~P11(x7435,x7434,x7433)+P11(x7431,x7432,x7433)+~E(f6(x7432,x7431,x7433),f6(x7434,x7435,x7433)) % 0.33/0.60 [744]~P24(x7443)+~P6(x7444,x7445,x7443)+P6(x7441,x7442,x7443)+~E(f6(x7444,x7445,x7443),f6(x7441,x7442,x7443)) % 0.33/0.60 [745]~P24(x7453)+~P6(x7454,x7455,x7453)+P6(x7451,x7452,x7453)+~E(f6(x7451,x7452,x7453),f6(x7454,x7455,x7453)) % 0.33/0.60 [831]~P19(x8311)+~P11(x8313,x8315,x8311)+~P11(x8312,x8314,x8311)+P11(f39(f39(f5(x8311),x8312),x8313),f39(f39(f5(x8311),x8314),x8315),x8311) % 0.33/0.60 [832]~P29(x8321)+~P11(x8323,x8325,x8321)+~P6(x8322,x8324,x8321)+P6(f39(f39(f5(x8321),x8322),x8323),f39(f39(f5(x8321),x8324),x8325),x8321) % 0.33/0.60 [833]~P29(x8331)+~P11(x8332,x8334,x8331)+~P6(x8333,x8335,x8331)+P6(f39(f39(f5(x8331),x8332),x8333),f39(f39(f5(x8331),x8334),x8335),x8331) % 0.33/0.60 [834]~P29(x8341)+~P6(x8343,x8345,x8341)+~P6(x8342,x8344,x8341)+P6(f39(f39(f5(x8341),x8342),x8343),f39(f39(f5(x8341),x8344),x8345),x8341) % 0.33/0.60 [858]~P24(x8582)+~P11(x8585,x8584,x8582)+~P11(x8581,f39(f39(f5(x8582),x8583),x8585),x8582)+P11(x8581,f39(f39(f5(x8582),x8583),x8584),x8582) % 0.33/0.60 [537]~P30(x5372)+~P42(x5372)+~P34(x5372)+~P35(x5372)+~E(f43(x5371,f4(a3),x5372),f4(x5372)) % 0.33/0.60 [716]~P28(x7162)+~P11(f4(x7162),x7161,x7162)+~P11(f4(x7162),x7163,x7162)+E(x7161,f4(x7162))+~E(f39(f39(f5(x7162),x7163),x7161),f4(x7162)) % 0.33/0.60 [717]~P28(x7172)+~P11(f4(x7172),x7173,x7172)+~P11(f4(x7172),x7171,x7172)+E(x7171,f4(x7172))+~E(f39(f39(f5(x7172),x7171),x7173),f4(x7172)) % 0.33/0.60 [869]~P1(x8693)+~P6(x8691,x8694,x8693)+~P11(f4(x8693),x8691,x8693)+P6(f43(x8691,x8692,x8693),f43(x8694,x8692,x8693),x8693)+~P6(f4(a3),x8692,a3) % 0.33/0.60 [872]~P1(x8723)+~P11(x8724,x8722,a3)+~P11(x8721,f11(x8723),x8723)+~P11(f4(x8723),x8721,x8723)+P11(f43(x8721,x8722,x8723),f43(x8721,x8724,x8723),x8723) % 0.33/0.60 [873]~P1(x8733)+~P6(x8734,x8732,a3)+~P6(x8731,f11(x8733),x8733)+~P6(f4(x8733),x8731,x8733)+P6(f43(x8731,x8732,x8733),f43(x8731,x8734,x8733),x8733) % 0.33/0.60 [782]~P2(x7822)+~P3(x7822)+~P11(x7821,x7824,x7822)+~P11(f4(x7822),x7823,x7822)+P11(x7821,f39(f39(f5(x7822),x7823),x7824),x7822) % 0.33/0.60 [783]~P2(x7832)+~P3(x7832)+~P11(x7831,x7833,x7832)+~P11(f4(x7832),x7834,x7832)+P11(x7831,f39(f39(f5(x7832),x7833),x7834),x7832) % 0.33/0.60 [784]~P2(x7842)+~P3(x7842)+~P11(x7841,x7844,x7842)+~P6(f4(x7842),x7843,x7842)+P6(x7841,f39(f39(f5(x7842),x7843),x7844),x7842) % 0.33/0.60 [785]~P2(x7852)+~P3(x7852)+~P6(x7851,x7854,x7852)+~P11(f4(x7852),x7853,x7852)+P6(x7851,f39(f39(f5(x7852),x7853),x7854),x7852) % 0.33/0.60 [884]~P1(x8844)+E(x8841,x8842)+~P11(f4(x8844),x8842,x8844)+~P11(f4(x8844),x8841,x8844)+~E(f43(x8841,f39(f39(f5(a3),x8843),f11(a3)),x8844),f43(x8842,f39(f39(f5(a3),x8843),f11(a3)),x8844)) % 0.33/0.60 [496]~P30(x4962)+~P42(x4962)+~P34(x4962)+~P35(x4962)+E(x4961,f4(a3))+E(f43(f4(x4962),x4961,x4962),f4(x4962)) % 0.33/0.60 [538]~P30(x5382)+~P42(x5382)+~P34(x5382)+~P35(x5382)+~E(f43(x5381,x5383,x5382),f4(x5382))+E(x5381,f4(x5382)) % 0.33/0.60 [844]~P1(x8444)+E(x8441,x8442)+~P11(f4(x8444),x8442,x8444)+~P11(f4(x8444),x8441,x8444)+~E(f43(x8441,x8443,x8444),f43(x8442,x8443,x8444))+~P6(f4(a3),x8443,a3) % 0.33/0.60 [911]~P9(x9116,x9112,x9115)+~P9(f42(x9116,x9113,x9115,a51),x9111,x9117)+~P43(f39(a15,x9112))+~P43(f39(a15,x9111))+~E(f39(f39(a47,x9114),x9115),a54)+P43(f39(a15,f39(f39(f39(a23,x9111),x9112),x9113))) % 0.33/0.60 [912]~P9(x9126,x9122,x9124)+~P9(f42(x9126,x9123,x9124,a51),x9121,x9127)+~P43(f39(a15,x9122))+~P43(f39(a15,x9121))+~E(f39(f39(a47,x9124),x9125),a54)+P43(f39(a15,f39(f39(f39(a23,x9121),x9122),x9123))) % 0.33/0.60 %EqnAxiom % 0.33/0.60 [1]E(x11,x11) % 0.33/0.60 [2]E(x22,x21)+~E(x21,x22) % 0.33/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.33/0.60 [4]~E(x41,x42)+E(f4(x41),f4(x42)) % 0.33/0.60 [5]~E(x51,x52)+E(f12(x51),f12(x52)) % 0.33/0.60 [6]~E(x61,x62)+E(f13(x61,x63),f13(x62,x63)) % 0.33/0.60 [7]~E(x71,x72)+E(f13(x73,x71),f13(x73,x72)) % 0.33/0.60 [8]~E(x81,x82)+E(f39(x81,x83),f39(x82,x83)) % 0.33/0.60 [9]~E(x91,x92)+E(f39(x93,x91),f39(x93,x92)) % 0.33/0.60 [10]~E(x101,x102)+E(f14(x101),f14(x102)) % 0.33/0.60 [11]~E(x111,x112)+E(f5(x111),f5(x112)) % 0.33/0.60 [12]~E(x121,x122)+E(f26(x121,x123),f26(x122,x123)) % 0.33/0.60 [13]~E(x131,x132)+E(f26(x133,x131),f26(x133,x132)) % 0.33/0.60 [14]~E(x141,x142)+E(f37(x141,x143),f37(x142,x143)) % 0.33/0.60 [15]~E(x151,x152)+E(f37(x153,x151),f37(x153,x152)) % 0.33/0.60 [16]~E(x161,x162)+E(f28(x161,x163,x164,x165),f28(x162,x163,x164,x165)) % 0.33/0.60 [17]~E(x171,x172)+E(f28(x173,x171,x174,x175),f28(x173,x172,x174,x175)) % 0.33/0.60 [18]~E(x181,x182)+E(f28(x183,x184,x181,x185),f28(x183,x184,x182,x185)) % 0.33/0.60 [19]~E(x191,x192)+E(f28(x193,x194,x195,x191),f28(x193,x194,x195,x192)) % 0.33/0.60 [20]~E(x201,x202)+E(f11(x201),f11(x202)) % 0.33/0.60 [21]~E(x211,x212)+E(f16(x211),f16(x212)) % 0.33/0.60 [22]~E(x221,x222)+E(f22(x221,x223,x224),f22(x222,x223,x224)) % 0.33/0.60 [23]~E(x231,x232)+E(f22(x233,x231,x234),f22(x233,x232,x234)) % 0.33/0.60 [24]~E(x241,x242)+E(f22(x243,x244,x241),f22(x243,x244,x242)) % 0.33/0.60 [25]~E(x251,x252)+E(f6(x251,x253,x254),f6(x252,x253,x254)) % 0.33/0.60 [26]~E(x261,x262)+E(f6(x263,x261,x264),f6(x263,x262,x264)) % 0.33/0.60 [27]~E(x271,x272)+E(f6(x273,x274,x271),f6(x273,x274,x272)) % 0.33/0.60 [28]~E(x281,x282)+E(f48(x281),f48(x282)) % 0.33/0.60 [29]~E(x291,x292)+E(f40(x291,x293,x294),f40(x292,x293,x294)) % 0.33/0.60 [30]~E(x301,x302)+E(f40(x303,x301,x304),f40(x303,x302,x304)) % 0.33/0.60 [31]~E(x311,x312)+E(f40(x313,x314,x311),f40(x313,x314,x312)) % 0.33/0.60 [32]~E(x321,x322)+E(f25(x321,x323,x324,x325,x326),f25(x322,x323,x324,x325,x326)) % 0.33/0.60 [33]~E(x331,x332)+E(f25(x333,x331,x334,x335,x336),f25(x333,x332,x334,x335,x336)) % 0.33/0.60 [34]~E(x341,x342)+E(f25(x343,x344,x341,x345,x346),f25(x343,x344,x342,x345,x346)) % 0.33/0.60 [35]~E(x351,x352)+E(f25(x353,x354,x355,x351,x356),f25(x353,x354,x355,x352,x356)) % 0.33/0.60 [36]~E(x361,x362)+E(f25(x363,x364,x365,x366,x361),f25(x363,x364,x365,x366,x362)) % 0.33/0.60 [37]~E(x371,x372)+E(f20(x371,x373,x374),f20(x372,x373,x374)) % 0.33/0.60 [38]~E(x381,x382)+E(f20(x383,x381,x384),f20(x383,x382,x384)) % 0.33/0.60 [39]~E(x391,x392)+E(f20(x393,x394,x391),f20(x393,x394,x392)) % 0.33/0.60 [40]~E(x401,x402)+E(f8(x401,x403,x404,x405),f8(x402,x403,x404,x405)) % 0.33/0.60 [41]~E(x411,x412)+E(f8(x413,x411,x414,x415),f8(x413,x412,x414,x415)) % 0.33/0.60 [42]~E(x421,x422)+E(f8(x423,x424,x421,x425),f8(x423,x424,x422,x425)) % 0.33/0.60 [43]~E(x431,x432)+E(f8(x433,x434,x435,x431),f8(x433,x434,x435,x432)) % 0.33/0.60 [44]~E(x441,x442)+E(f18(x441),f18(x442)) % 0.33/0.60 [45]~E(x451,x452)+E(f19(x451,x453,x454),f19(x452,x453,x454)) % 0.33/0.60 [46]~E(x461,x462)+E(f19(x463,x461,x464),f19(x463,x462,x464)) % 0.33/0.60 [47]~E(x471,x472)+E(f19(x473,x474,x471),f19(x473,x474,x472)) % 0.33/0.60 [48]~E(x481,x482)+E(f29(x481,x483,x484,x485),f29(x482,x483,x484,x485)) % 0.33/0.60 [49]~E(x491,x492)+E(f29(x493,x491,x494,x495),f29(x493,x492,x494,x495)) % 0.33/0.60 [50]~E(x501,x502)+E(f29(x503,x504,x501,x505),f29(x503,x504,x502,x505)) % 0.33/0.60 [51]~E(x511,x512)+E(f29(x513,x514,x515,x511),f29(x513,x514,x515,x512)) % 0.33/0.60 [52]~E(x521,x522)+E(f42(x521,x523,x524,x525),f42(x522,x523,x524,x525)) % 0.33/0.60 [53]~E(x531,x532)+E(f42(x533,x531,x534,x535),f42(x533,x532,x534,x535)) % 0.33/0.60 [54]~E(x541,x542)+E(f42(x543,x544,x541,x545),f42(x543,x544,x542,x545)) % 0.33/0.60 [55]~E(x551,x552)+E(f42(x553,x554,x555,x551),f42(x553,x554,x555,x552)) % 0.33/0.60 [56]~E(x561,x562)+E(f31(x561,x563,x564),f31(x562,x563,x564)) % 0.33/0.60 [57]~E(x571,x572)+E(f31(x573,x571,x574),f31(x573,x572,x574)) % 0.33/0.60 [58]~E(x581,x582)+E(f31(x583,x584,x581),f31(x583,x584,x582)) % 0.33/0.60 [59]~E(x591,x592)+E(f43(x591,x593,x594),f43(x592,x593,x594)) % 0.33/0.60 [60]~E(x601,x602)+E(f43(x603,x601,x604),f43(x603,x602,x604)) % 0.33/0.60 [61]~E(x611,x612)+E(f43(x613,x614,x611),f43(x613,x614,x612)) % 0.33/0.60 [62]~E(x621,x622)+E(f32(x621,x623,x624),f32(x622,x623,x624)) % 0.33/0.60 [63]~E(x631,x632)+E(f32(x633,x631,x634),f32(x633,x632,x634)) % 0.33/0.60 [64]~E(x641,x642)+E(f32(x643,x644,x641),f32(x643,x644,x642)) % 0.33/0.60 [65]~E(x651,x652)+E(f24(x651,x653,x654),f24(x652,x653,x654)) % 0.33/0.60 [66]~E(x661,x662)+E(f24(x663,x661,x664),f24(x663,x662,x664)) % 0.33/0.60 [67]~E(x671,x672)+E(f24(x673,x674,x671),f24(x673,x674,x672)) % 0.33/0.60 [68]~E(x681,x682)+E(f27(x681,x683,x684),f27(x682,x683,x684)) % 0.33/0.60 [69]~E(x691,x692)+E(f27(x693,x691,x694),f27(x693,x692,x694)) % 0.33/0.60 [70]~E(x701,x702)+E(f27(x703,x704,x701),f27(x703,x704,x702)) % 0.33/0.60 [71]~E(x711,x712)+E(f10(x711,x713,x714,x715,x716),f10(x712,x713,x714,x715,x716)) % 0.33/0.60 [72]~E(x721,x722)+E(f10(x723,x721,x724,x725,x726),f10(x723,x722,x724,x725,x726)) % 0.33/0.60 [73]~E(x731,x732)+E(f10(x733,x734,x731,x735,x736),f10(x733,x734,x732,x735,x736)) % 0.33/0.60 [74]~E(x741,x742)+E(f10(x743,x744,x745,x741,x746),f10(x743,x744,x745,x742,x746)) % 0.33/0.60 [75]~E(x751,x752)+E(f10(x753,x754,x755,x756,x751),f10(x753,x754,x755,x756,x752)) % 0.33/0.60 [76]~E(x761,x762)+E(f7(x761,x763,x764),f7(x762,x763,x764)) % 0.33/0.60 [77]~E(x771,x772)+E(f7(x773,x771,x774),f7(x773,x772,x774)) % 0.33/0.60 [78]~E(x781,x782)+E(f7(x783,x784,x781),f7(x783,x784,x782)) % 0.33/0.60 [79]~E(x791,x792)+E(f33(x791,x793,x794),f33(x792,x793,x794)) % 0.33/0.60 [80]~E(x801,x802)+E(f33(x803,x801,x804),f33(x803,x802,x804)) % 0.33/0.60 [81]~E(x811,x812)+E(f33(x813,x814,x811),f33(x813,x814,x812)) % 0.33/0.60 [82]~E(x821,x822)+E(f30(x821,x823),f30(x822,x823)) % 0.33/0.60 [83]~E(x831,x832)+E(f30(x833,x831),f30(x833,x832)) % 0.33/0.60 [84]~E(x841,x842)+E(f52(x841,x843),f52(x842,x843)) % 0.33/0.60 [85]~E(x851,x852)+E(f52(x853,x851),f52(x853,x852)) % 0.33/0.60 [86]~E(x861,x862)+E(f46(x861,x863,x864,x865),f46(x862,x863,x864,x865)) % 0.33/0.60 [87]~E(x871,x872)+E(f46(x873,x871,x874,x875),f46(x873,x872,x874,x875)) % 0.33/0.60 [88]~E(x881,x882)+E(f46(x883,x884,x881,x885),f46(x883,x884,x882,x885)) % 0.33/0.60 [89]~E(x891,x892)+E(f46(x893,x894,x895,x891),f46(x893,x894,x895,x892)) % 0.33/0.60 [90]~E(x901,x902)+E(f41(x901),f41(x902)) % 0.33/0.60 [91]~E(x911,x912)+E(f62(x911),f62(x912)) % 0.33/0.60 [92]~E(x921,x922)+E(f61(x921),f61(x922)) % 0.33/0.60 [93]~E(x931,x932)+E(f36(x931,x933,x934,x935,x936),f36(x932,x933,x934,x935,x936)) % 0.33/0.60 [94]~E(x941,x942)+E(f36(x943,x941,x944,x945,x946),f36(x943,x942,x944,x945,x946)) % 0.33/0.60 [95]~E(x951,x952)+E(f36(x953,x954,x951,x955,x956),f36(x953,x954,x952,x955,x956)) % 0.33/0.60 [96]~E(x961,x962)+E(f36(x963,x964,x965,x961,x966),f36(x963,x964,x965,x962,x966)) % 0.33/0.60 [97]~E(x971,x972)+E(f36(x973,x974,x975,x976,x971),f36(x973,x974,x975,x976,x972)) % 0.33/0.60 [98]~E(x981,x982)+E(f9(x981),f9(x982)) % 0.33/0.60 [99]~E(x991,x992)+E(f45(x991,x993,x994,x995),f45(x992,x993,x994,x995)) % 0.33/0.60 [100]~E(x1001,x1002)+E(f45(x1003,x1001,x1004,x1005),f45(x1003,x1002,x1004,x1005)) % 0.33/0.60 [101]~E(x1011,x1012)+E(f45(x1013,x1014,x1011,x1015),f45(x1013,x1014,x1012,x1015)) % 0.33/0.60 [102]~E(x1021,x1022)+E(f45(x1023,x1024,x1025,x1021),f45(x1023,x1024,x1025,x1022)) % 0.33/0.60 [103]~E(x1031,x1032)+E(f44(x1031),f44(x1032)) % 0.33/0.60 [104]~E(x1041,x1042)+E(f35(x1041,x1043,x1044,x1045,x1046),f35(x1042,x1043,x1044,x1045,x1046)) % 0.33/0.60 [105]~E(x1051,x1052)+E(f35(x1053,x1051,x1054,x1055,x1056),f35(x1053,x1052,x1054,x1055,x1056)) % 0.33/0.60 [106]~E(x1061,x1062)+E(f35(x1063,x1064,x1061,x1065,x1066),f35(x1063,x1064,x1062,x1065,x1066)) % 0.33/0.60 [107]~E(x1071,x1072)+E(f35(x1073,x1074,x1075,x1071,x1076),f35(x1073,x1074,x1075,x1072,x1076)) % 0.33/0.60 [108]~E(x1081,x1082)+E(f35(x1083,x1084,x1085,x1086,x1081),f35(x1083,x1084,x1085,x1086,x1082)) % 0.33/0.60 [109]~E(x1091,x1092)+E(f34(x1091,x1093,x1094,x1095,x1096),f34(x1092,x1093,x1094,x1095,x1096)) % 0.33/0.60 [110]~E(x1101,x1102)+E(f34(x1103,x1101,x1104,x1105,x1106),f34(x1103,x1102,x1104,x1105,x1106)) % 0.33/0.60 [111]~E(x1111,x1112)+E(f34(x1113,x1114,x1111,x1115,x1116),f34(x1113,x1114,x1112,x1115,x1116)) % 0.33/0.60 [112]~E(x1121,x1122)+E(f34(x1123,x1124,x1125,x1121,x1126),f34(x1123,x1124,x1125,x1122,x1126)) % 0.33/0.60 [113]~E(x1131,x1132)+E(f34(x1133,x1134,x1135,x1136,x1131),f34(x1133,x1134,x1135,x1136,x1132)) % 0.33/0.60 [114]~P1(x1141)+P1(x1142)+~E(x1141,x1142) % 0.33/0.60 [115]~P2(x1151)+P2(x1152)+~E(x1151,x1152) % 0.33/0.60 [116]~P3(x1161)+P3(x1162)+~E(x1161,x1162) % 0.33/0.60 [117]~P25(x1171)+P25(x1172)+~E(x1171,x1172) % 0.33/0.60 [118]~P38(x1181)+P38(x1182)+~E(x1181,x1182) % 0.33/0.60 [119]~P30(x1191)+P30(x1192)+~E(x1191,x1192) % 0.33/0.60 [120]~P26(x1201)+P26(x1202)+~E(x1201,x1202) % 0.33/0.60 [121]~P33(x1211)+P33(x1212)+~E(x1211,x1212) % 0.33/0.60 [122]~P27(x1221)+P27(x1222)+~E(x1221,x1222) % 0.33/0.60 [123]~P4(x1231)+P4(x1232)+~E(x1231,x1232) % 0.33/0.60 [124]~P19(x1241)+P19(x1242)+~E(x1241,x1242) % 0.33/0.60 [125]~P20(x1251)+P20(x1252)+~E(x1251,x1252) % 0.33/0.60 [126]~P28(x1261)+P28(x1262)+~E(x1261,x1262) % 0.33/0.60 [127]~P31(x1271)+P31(x1272)+~E(x1271,x1272) % 0.33/0.60 [128]~P32(x1281)+P32(x1282)+~E(x1281,x1282) % 0.33/0.60 [129]~P15(x1291)+P15(x1292)+~E(x1291,x1292) % 0.33/0.60 [130]~P23(x1301)+P23(x1302)+~E(x1301,x1302) % 0.33/0.60 [131]~P41(x1311)+P41(x1312)+~E(x1311,x1312) % 0.33/0.60 [132]~P17(x1321)+P17(x1322)+~E(x1321,x1322) % 0.33/0.60 [133]~P18(x1331)+P18(x1332)+~E(x1331,x1332) % 0.33/0.60 [134]~P29(x1341)+P29(x1342)+~E(x1341,x1342) % 0.33/0.60 [135]~P42(x1351)+P42(x1352)+~E(x1351,x1352) % 0.33/0.60 [136]~P34(x1361)+P34(x1362)+~E(x1361,x1362) % 0.33/0.60 [137]~P35(x1371)+P35(x1372)+~E(x1371,x1372) % 0.33/0.60 [138]P5(x1382,x1383)+~E(x1381,x1382)+~P5(x1381,x1383) % 0.33/0.60 [139]P5(x1393,x1392)+~E(x1391,x1392)+~P5(x1393,x1391) % 0.33/0.60 [140]~P43(x1401)+P43(x1402)+~E(x1401,x1402) % 0.33/0.60 [141]P7(x1412,x1413,x1414,x1415,x1416,x1417)+~E(x1411,x1412)+~P7(x1411,x1413,x1414,x1415,x1416,x1417) % 0.33/0.60 [142]P7(x1423,x1422,x1424,x1425,x1426,x1427)+~E(x1421,x1422)+~P7(x1423,x1421,x1424,x1425,x1426,x1427) % 0.33/0.60 [143]P7(x1433,x1434,x1432,x1435,x1436,x1437)+~E(x1431,x1432)+~P7(x1433,x1434,x1431,x1435,x1436,x1437) % 0.33/0.60 [144]P7(x1443,x1444,x1445,x1442,x1446,x1447)+~E(x1441,x1442)+~P7(x1443,x1444,x1445,x1441,x1446,x1447) % 0.33/0.60 [145]P7(x1453,x1454,x1455,x1456,x1452,x1457)+~E(x1451,x1452)+~P7(x1453,x1454,x1455,x1456,x1451,x1457) % 0.33/0.60 [146]P7(x1463,x1464,x1465,x1466,x1467,x1462)+~E(x1461,x1462)+~P7(x1463,x1464,x1465,x1466,x1467,x1461) % 0.33/0.60 [147]P9(x1472,x1473,x1474)+~E(x1471,x1472)+~P9(x1471,x1473,x1474) % 0.33/0.60 [148]P9(x1483,x1482,x1484)+~E(x1481,x1482)+~P9(x1483,x1481,x1484) % 0.33/0.60 [149]P9(x1493,x1494,x1492)+~E(x1491,x1492)+~P9(x1493,x1494,x1491) % 0.33/0.60 [150]P11(x1502,x1503,x1504)+~E(x1501,x1502)+~P11(x1501,x1503,x1504) % 0.33/0.60 [151]P11(x1513,x1512,x1514)+~E(x1511,x1512)+~P11(x1513,x1511,x1514) % 0.33/0.60 [152]P11(x1523,x1524,x1522)+~E(x1521,x1522)+~P11(x1523,x1524,x1521) % 0.33/0.60 [153]P6(x1532,x1533,x1534)+~E(x1531,x1532)+~P6(x1531,x1533,x1534) % 0.33/0.60 [154]P6(x1543,x1542,x1544)+~E(x1541,x1542)+~P6(x1543,x1541,x1544) % 0.33/0.60 [155]P6(x1553,x1554,x1552)+~E(x1551,x1552)+~P6(x1553,x1554,x1551) % 0.33/0.60 [156]P12(x1562,x1563,x1564)+~E(x1561,x1562)+~P12(x1561,x1563,x1564) % 0.33/0.60 [157]P12(x1573,x1572,x1574)+~E(x1571,x1572)+~P12(x1573,x1571,x1574) % 0.33/0.60 [158]P12(x1583,x1584,x1582)+~E(x1581,x1582)+~P12(x1583,x1584,x1581) % 0.33/0.60 [159]~P24(x1591)+P24(x1592)+~E(x1591,x1592) % 0.33/0.60 [160]P13(x1602,x1603,x1604)+~E(x1601,x1602)+~P13(x1601,x1603,x1604) % 0.33/0.60 [161]P13(x1613,x1612,x1614)+~E(x1611,x1612)+~P13(x1613,x1611,x1614) % 0.33/0.60 [162]P13(x1623,x1624,x1622)+~E(x1621,x1622)+~P13(x1623,x1624,x1621) % 0.33/0.60 [163]P10(x1632,x1633,x1634)+~E(x1631,x1632)+~P10(x1631,x1633,x1634) % 0.33/0.60 [164]P10(x1643,x1642,x1644)+~E(x1641,x1642)+~P10(x1643,x1641,x1644) % 0.33/0.60 [165]P10(x1653,x1654,x1652)+~E(x1651,x1652)+~P10(x1653,x1654,x1651) % 0.33/0.60 [166]P8(x1662,x1663)+~E(x1661,x1662)+~P8(x1661,x1663) % 0.33/0.60 [167]P8(x1673,x1672)+~E(x1671,x1672)+~P8(x1673,x1671) % 0.33/0.60 [168]~P22(x1681)+P22(x1682)+~E(x1681,x1682) % 0.33/0.60 [169]~P14(x1691)+P14(x1692)+~E(x1691,x1692) % 0.33/0.60 [170]~P36(x1701)+P36(x1702)+~E(x1701,x1702) % 0.33/0.60 [171]~P21(x1711)+P21(x1712)+~E(x1711,x1712) % 0.33/0.60 [172]~P39(x1721)+P39(x1722)+~E(x1721,x1722) % 0.33/0.60 [173]~P16(x1731)+P16(x1732)+~E(x1731,x1732) % 0.33/0.60 [174]~P37(x1741)+P37(x1742)+~E(x1741,x1742) % 0.33/0.60 [175]~P40(x1751)+P40(x1752)+~E(x1751,x1752) % 0.33/0.60 % 0.33/0.60 %------------------------------------------- % 0.33/0.60 cnf(1046,plain, % 0.33/0.60 ($false), % 0.33/0.60 inference(scs_inference,[],[429,395,927]), % 0.33/0.60 ['proof']). % 0.33/0.60 % SZS output end Proof % 0.33/0.60 % Total time :0.040525s %------------------------------------------------------------------------------