%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL852-1 : 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 : n001.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 11:20:00 AM UTC 2026 % Result : Unsatisfiable 0.67s 0.88s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.08/0.36 % Computer : n001.cluster.edu % 0.08/0.36 % Model : x86_64 x86_64 % 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.36 % Memory : 8046.5625MB % 0.08/0.36 % OS : Linux 6.8.0-71-generic % 0.08/0.36 % CPULimit : 300 % 0.08/0.36 % WCLimit : 300 % 0.08/0.36 % DateTime : Fri Sep 4 22:15:45 UTC 2026 % 0.08/0.36 % CPUTime : % 0.41/0.59 start to proof:theBenchmark % 0.48/0.79 %------------------------------------------- % 0.48/0.79 % File :CSE---1.7 % 0.48/0.79 % Problem :theBenchmark % 0.48/0.79 % Transform :cnf % 0.48/0.79 % Format :tptp:raw % 0.48/0.79 % Command :java -jar mcs_scs.jar %d %s % 0.48/0.79 % 0.48/0.79 % Result :Theorem 0.082252s % 0.48/0.79 % Output :CNFRefutation 0.082252s % 0.48/0.79 %------------------------------------------- % 0.48/0.80 %------------------------------------------------------------------------------ % 0.48/0.80 % File : LCL852-1 : TPTP v9.3.1. Released v4.1.0. % 0.48/0.80 % Domain : Logic Calculi % 0.48/0.80 % Problem : Strong normalization of typed lambda calculus 272_7 % 0.48/0.80 % Version : Especial. % 0.48/0.80 % English : % 0.48/0.80 % 0.48/0.80 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.67/0.80 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.67/0.80 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.67/0.80 % Source : [Nip10] % 0.67/0.80 % Names : StrongNorm-272_7 [Nip10] % 0.67/0.80 % 0.67/0.80 % Status : Unsatisfiable % 0.67/0.80 % Rating : 0.17 v9.3.0, 0.18 v9.1.0, 0.15 v9.0.0, 0.20 v8.2.0, 0.19 v8.1.0, 0.21 v7.5.0, 0.32 v7.4.0, 0.29 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.3.0, 0.09 v6.2.0, 0.30 v6.1.0, 0.36 v6.0.0, 0.50 v5.1.0, 0.59 v5.0.0, 0.50 v4.1.0 % 0.67/0.80 % Syntax : Number of clauses : 607 ( 150 unt; 61 nHn; 335 RR) % 0.67/0.80 % Number of literals : 1371 ( 388 equ; 733 neg) % 0.67/0.80 % Maximal clause size : 6 ( 2 avg) % 0.67/0.80 % Maximal term depth : 6 ( 2 avg) % 0.67/0.80 % Number of predicates : 42 ( 41 usr; 0 prp; 1-6 aty) % 0.67/0.80 % Number of functors : 54 ( 54 usr; 12 con; 0-5 aty) % 0.67/0.80 % Number of variables : 1858 ( 394 sgn) % 0.67/0.80 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.67/0.80 % 0.67/0.80 % Comments : % 0.67/0.80 %------------------------------------------------------------------------------ % 0.67/0.80 cnf(cls_xt1_I10_J_0,axiom, % 0.67/0.80 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.80 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.67/0.80 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.67/0.80 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_order__less__trans_0,axiom, % 0.67/0.80 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.80 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.67/0.80 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.67/0.80 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.67/0.80 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.80 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.67/0.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_diff__less__Suc_0,axiom, % 0.67/0.80 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.67/0.80 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.80 | 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) ) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_le__less__Suc__eq_1,axiom, % 0.67/0.80 ( ~ c_lessequals(V_x,V_x,tc_nat) % 0.67/0.80 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_less__Suc__eq__le_0,axiom, % 0.67/0.80 ( c_lessequals(V_m,V_n,tc_nat) % 0.67/0.80 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_less__Suc__eq__le_1,axiom, % 0.67/0.80 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.67/0.80 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.80 % 0.67/0.80 cnf(cls_add__mono_0,axiom, % 0.67/0.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.67/0.80 | 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) % 0.67/0.81 | ~ c_lessequals(V_c,V_d,T_a) % 0.67/0.81 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_add__le__mono_0,axiom, % 0.67/0.81 ( 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) % 0.67/0.81 | ~ c_lessequals(V_k,V_l,tc_nat) % 0.67/0.81 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_substn__subst__n_0,axiom, % 0.67/0.81 c_Lambda_Osubstn(V_t,V_s,V_n) = c_Lambda_Osubst(V_t,c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_n) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_nat__diff__split_1,axiom, % 0.67/0.81 ( ~ 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))) % 0.67/0.81 | hBOOL(hAPP(V_P,V_d)) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_nat__diff__split__asm_1,axiom, % 0.67/0.81 ( ~ 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))) % 0.67/0.81 | hBOOL(hAPP(V_P,V_x)) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_diff__add__cancel_0,axiom, % 0.67/0.81 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.67/0.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_subst__Var_2,axiom, % 0.67/0.81 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.67/0.81 | V_i = V_k % 0.67/0.81 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.67/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.67/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.67/0.81 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.67/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_less__Suc0_0,axiom, % 0.67/0.81 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.81 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_max__Suc__Suc_0,axiom, % 0.67/0.81 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)) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_dB_Osimps_I12_J_0,axiom, % 0.67/0.81 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_subst__preserves__beta_0,axiom, % 0.67/0.81 ( c_Lambda_Obeta(c_Lambda_Osubst(V_r,V_t,V_i),c_Lambda_Osubst(V_s,V_t,V_i)) % 0.67/0.81 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_of__nat__le__iff_1,axiom, % 0.67/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.81 | 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) % 0.67/0.81 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_of__nat__le__iff_0,axiom, % 0.67/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.81 | c_lessequals(V_m,V_n,tc_nat) % 0.67/0.81 | ~ 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) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_add__is__1_4,axiom, % 0.67/0.81 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)) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_lem0_0,axiom, % 0.67/0.81 ( c_HOL_Oord__class_Oless(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k),tc_nat) % 0.67/0.81 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.67/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_k,tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_add__strict__increasing_0,axiom, % 0.67/0.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.81 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.81 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.67/0.81 | ~ c_lessequals(V_b,V_c,T_a) % 0.67/0.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_replicate__eq__replicate_0,axiom, % 0.67/0.81 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.67/0.81 | V_m = V_n ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_diff__Suc__diff__eq2_0,axiom, % 0.67/0.81 ( 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) % 0.67/0.81 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_max__less__iff__conj_2,axiom, % 0.67/0.81 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.81 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.67/0.81 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.67/0.81 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_diff__is__0__eq_0,axiom, % 0.67/0.81 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.81 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_diff__is__0__eq_1,axiom, % 0.67/0.81 ( c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.81 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_zero__le__power_0,axiom, % 0.67/0.81 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.81 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.67/0.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_nat_Oinduct_1,axiom, % 0.67/0.81 ( hBOOL(hAPP(V_P,V_nat)) % 0.67/0.81 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__Nat__Xnat__Xinduct__1(V_P)))) % 0.67/0.81 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.67/0.81 % 0.67/0.81 cnf(cls_power__0__Suc_0,axiom, % 0.67/0.81 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.67/0.82 | ~ class_Power_Opower(T_a) % 0.67/0.82 | 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) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_add__Suc__right_0,axiom, % 0.67/0.82 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)) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_add__Suc_0,axiom, % 0.67/0.82 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)) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_infinite__descent0_2,axiom, % 0.67/0.82 ( hBOOL(hAPP(V_P,V_n)) % 0.67/0.82 | hBOOL(hAPP(V_P,V_x)) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_x,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P),tc_nat) % 0.67/0.82 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_less__add__Suc1_0,axiom, % 0.67/0.82 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_less__add__Suc2_0,axiom, % 0.67/0.82 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_less__iff__Suc__add_1,axiom, % 0.67/0.82 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_le__diff__conv2_0,axiom, % 0.67/0.82 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.67/0.82 | ~ c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.67/0.82 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_le__diff__conv2_1,axiom, % 0.67/0.82 ( c_lessequals(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.67/0.82 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.67/0.82 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_min__max_Ole__sup__iff_2,axiom, % 0.67/0.82 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.82 | c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) % 0.67/0.82 | ~ c_lessequals(V_y,V_z,T_a) % 0.67/0.82 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_min__max_Osup__least_0,axiom, % 0.67/0.82 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.82 | c_lessequals(c_Orderings_Oord__class_Omax(V_y,V_z,T_a),V_x,T_a) % 0.67/0.82 | ~ c_lessequals(V_z,V_x,T_a) % 0.67/0.82 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_min__max_Ole__supI_0,axiom, % 0.67/0.82 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.82 | c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) % 0.67/0.82 | ~ c_lessequals(V_b,V_x,T_a) % 0.67/0.82 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_le__maxI1_0,axiom, % 0.67/0.82 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.82 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_le__maxI2_0,axiom, % 0.67/0.82 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.82 | c_lessequals(V_y,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_bot__least_0,axiom, % 0.67/0.82 ( ~ class_Orderings_Obot(T_a) % 0.67/0.82 | c_lessequals(c_Orderings_Obot__class_Obot(T_a),V_x,T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_add__increasing_0,axiom, % 0.67/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.82 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.82 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.67/0.82 | ~ c_lessequals(V_b,V_c,T_a) % 0.67/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_add__increasing2_0,axiom, % 0.67/0.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.82 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.82 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.67/0.82 | ~ c_lessequals(V_b,V_a,T_a) % 0.67/0.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_upt_Oinduct_1,axiom, % 0.67/0.82 ( hBOOL(hAPP(V_P,V_nat)) % 0.67/0.82 | ~ hBOOL(hAPP(V_P,c_Suc(v_sko__List__Xupt__Xinduct__1(V_P)))) % 0.67/0.82 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_type_Osimps_I1_J_0,axiom, % 0.67/0.82 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H) % 0.67/0.82 | V_nat = V_nat_H ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_Suc__leI_0,axiom, % 0.67/0.82 ( c_lessequals(c_Suc(V_m),V_n,tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_Suc__le__eq_0,axiom, % 0.67/0.82 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.82 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_less__eq__Suc__le_0,axiom, % 0.67/0.82 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_less__eq__Suc__le_1,axiom, % 0.67/0.82 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.67/0.82 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 0.67/0.82 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 0.67/0.82 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_add__lessD1_0,axiom, % 0.67/0.82 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_trans__less__add1_0,axiom, % 0.67/0.82 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_trans__less__add2_0,axiom, % 0.67/0.82 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_Suc__diff__le_0,axiom, % 0.67/0.82 ( 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)) % 0.67/0.82 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.67/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.82 | 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) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.67/0.82 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.82 | 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) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_nat__add__commute_0,axiom, % 0.67/0.82 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) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_less__add__eq__less_0,axiom, % 0.67/0.82 ( 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) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.67/0.82 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.67/0.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.82 | 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) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_foldl__assoc_0,axiom, % 0.67/0.82 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.67/0.82 | 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)) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_diff__less__mono2_0,axiom, % 0.67/0.82 ( 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) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 0.67/0.82 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.82 % 0.67/0.82 cnf(cls_of__nat__eq__iff_0,axiom, % 0.67/0.82 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.67/0.82 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.67/0.82 | V_m = V_n ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_le__max__iff__disj_0,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_lessequals(V_z,V_y,T_a) % 0.67/0.83 | c_lessequals(V_z,V_x,T_a) % 0.67/0.83 | ~ c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_drop__Nil_0,axiom, % 0.67/0.83 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_gb__semiring_Omul__pwr_0,axiom, % 0.67/0.83 ( 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)) % 0.67/0.83 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_liftn__lift_0,axiom, % 0.67/0.83 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = c_Lambda_Olift(c_Lambda_Oliftn(V_n,V_t,V_k),V_k) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.67/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.67/0.83 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.67/0.83 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.67/0.83 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_min__max_Ole__iff__sup_0,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_y % 0.67/0.83 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_min__max_Ole__iff__sup_1,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) != V_y % 0.67/0.83 | c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_min__max_Osup__absorb1_0,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = V_x % 0.67/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.67/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.83 | 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) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_add__cancel__21_1,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.67/0.83 | 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)) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_nat__add__left__commute_0,axiom, % 0.67/0.83 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)) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_nat__add__assoc_0,axiom, % 0.67/0.83 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)) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.83 | 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)) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.83 | 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)) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.67/0.83 | 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)) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.67/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.83 | 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) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.67/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.83 | 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) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.67/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.83 | 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)) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.67/0.83 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.83 | 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)) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_add__gr__0_0,axiom, % 0.67/0.83 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.67/0.83 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.67/0.83 | ~ 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) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_add__cancel__21_0,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.67/0.83 | 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) % 0.67/0.83 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_trans__le__add2_0,axiom, % 0.67/0.83 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.67/0.83 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_trans__le__add1_0,axiom, % 0.67/0.83 ( c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.67/0.83 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_add__leE_1,axiom, % 0.67/0.83 ( c_lessequals(V_k,V_n,tc_nat) % 0.67/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_add__leE_0,axiom, % 0.67/0.83 ( c_lessequals(V_m,V_n,tc_nat) % 0.67/0.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k),V_n,tc_nat) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_termination__basic__simps_I4_J_0,axiom, % 0.67/0.83 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.67/0.83 | ~ c_lessequals(V_x,V_z,tc_nat) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_termination__basic__simps_I3_J_0,axiom, % 0.67/0.83 ( c_lessequals(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.67/0.83 | ~ c_lessequals(V_x,V_y,tc_nat) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_max__diff__distrib__left_0,axiom, % 0.67/0.83 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.83 | 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) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_list__app__typeE_1,axiom, % 0.67/0.83 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts)) % 0.67/0.83 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_not__leE_0,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.83 | c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | ~ c_lessequals(V_x,V_x,T_a) % 0.67/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.67/0.83 | c_lessequals(V_x,V_x,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_linorder__not__less_1,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.83 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_linorder__not__less_0,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_lessequals(V_y,V_x,T_a) % 0.67/0.83 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_linorder__not__le_1,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | ~ c_lessequals(V_x,V_y,T_a) % 0.67/0.83 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.67/0.83 % 0.67/0.83 cnf(cls_linorder__not__le_0,axiom, % 0.67/0.83 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.83 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.67/0.83 | c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.83 % 0.67/0.84 cnf(cls_less__le__not__le_1,axiom, % 0.67/0.84 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.84 | ~ c_lessequals(V_y,V_x,T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_infinite__descent0_0,axiom, % 0.67/0.84 ( hBOOL(hAPP(V_P,V_n)) % 0.67/0.84 | 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) % 0.67/0.84 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_subst__Var_1,axiom, % 0.67/0.84 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.67/0.84 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_foldr_Osimps_I1_J_0,axiom, % 0.67/0.84 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ). % 0.67/0.84 % 0.67/0.84 cnf(cls_type__induct_2,axiom, % 0.67/0.84 ( hBOOL(hAPP(V_P,V_T)) % 0.67/0.84 | ~ hBOOL(hAPP(V_P,c_Type_Osko__Type__Xtype__induct__1__1(V_P))) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_one__is__add_5,axiom, % 0.67/0.84 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))) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_add__strict__increasing2_0,axiom, % 0.67/0.84 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.84 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.84 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.67/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__le__mono2_0,axiom, % 0.67/0.84 ( 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) % 0.67/0.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__le__mono_0,axiom, % 0.67/0.84 ( 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) % 0.67/0.84 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_le__diff__iff_1,axiom, % 0.67/0.84 ( 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) % 0.67/0.84 | ~ c_lessequals(V_m,V_n,tc_nat) % 0.67/0.84 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.67/0.84 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_le__diff__iff_0,axiom, % 0.67/0.84 ( c_lessequals(V_m,V_n,tc_nat) % 0.67/0.84 | ~ 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) % 0.67/0.84 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.67/0.84 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__add__0_0,axiom, % 0.67/0.84 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) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__diff__left_0,axiom, % 0.67/0.84 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) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_power__mono_0,axiom, % 0.67/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.84 | 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) % 0.67/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.67/0.84 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_eq__eqI_1,axiom, % 0.67/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.67/0.84 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 0.67/0.84 | V_xa = V_y ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_eq__eqI_0,axiom, % 0.67/0.84 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.67/0.84 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.67/0.84 | V_x_H = V_y_H ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_eq__diff__iff_0,axiom, % 0.67/0.84 ( c_HOL_Ominus__class_Ominus(V_m,V_k,tc_nat) != c_HOL_Ominus__class_Ominus(V_n,V_k,tc_nat) % 0.67/0.84 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.67/0.84 | ~ c_lessequals(V_k,V_m,tc_nat) % 0.67/0.84 | V_m = V_n ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_one__is__add_3,axiom, % 0.67/0.84 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.67/0.84 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.84 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_one__is__add_0,axiom, % 0.67/0.84 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.67/0.84 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.84 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_add__Suc__shift_0,axiom, % 0.67/0.84 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)) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__cancel2_0,axiom, % 0.67/0.84 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) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__cancel_0,axiom, % 0.67/0.84 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) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_zero__less__Suc_0,axiom, % 0.67/0.84 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_gr0__conv__Suc_1,axiom, % 0.67/0.84 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_dB_Osize_I5_J_0,axiom, % 0.67/0.84 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_min__max_Oless__supI1_0,axiom, % 0.67/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.84 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_a,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_min__max_Oless__supI2_0,axiom, % 0.67/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.84 | c_HOL_Oord__class_Oless(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_x,V_b,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_less__max__iff__disj_1,axiom, % 0.67/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.84 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_less__max__iff__disj_2,axiom, % 0.67/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.84 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_max__less__iff__conj_0,axiom, % 0.67/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.84 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_max__less__iff__conj_1,axiom, % 0.67/0.84 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.84 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_Abs__eq__apps__conv_2,axiom, % 0.67/0.84 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__le__self_0,axiom, % 0.67/0.84 c_lessequals(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_Abs__eq__apps__conv_0,axiom, % 0.67/0.84 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.67/0.84 | c_Lambda_OdB_OAbs(V_r) = V_s ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_add__neg__neg_0,axiom, % 0.67/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.84 | 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) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_power__strict__mono_0,axiom, % 0.67/0.84 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.84 | 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) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.67/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_Nat_Odiff__diff__eq_0,axiom, % 0.67/0.84 ( 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) % 0.67/0.84 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.67/0.84 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__commute_0,axiom, % 0.67/0.84 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) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_foldl__foldr1__lemma_0,axiom, % 0.67/0.84 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.67/0.84 | 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)) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_add__nonneg__pos_0,axiom, % 0.67/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.84 | 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) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_add__pos__nonneg_0,axiom, % 0.67/0.84 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.84 | 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) % 0.67/0.84 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_diff__less__mono_0,axiom, % 0.67/0.84 ( 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) % 0.67/0.84 | ~ c_lessequals(V_c,V_a,tc_nat) % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_Suc__lessI_0,axiom, % 0.67/0.84 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 0.67/0.84 | c_Suc(V_m) = V_n % 0.67/0.84 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_not__less__eq__eq_1,axiom, % 0.67/0.84 ( ~ c_lessequals(V_m,V_n,tc_nat) % 0.67/0.84 | ~ c_lessequals(c_Suc(V_n),V_m,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_not__less__eq__eq_0,axiom, % 0.67/0.84 ( c_lessequals(c_Suc(V_n),V_m,tc_nat) % 0.67/0.84 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.84 % 0.67/0.84 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.67/0.84 ( 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) % 0.67/0.84 | V_y = V_z ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_nat__add__right__cancel_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | V_m = V_n ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_nat__add__left__cancel_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | V_m = V_n ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.67/0.85 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.67/0.85 | ~ class_Int_Onumber__ring(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | V_y = V_z ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_add__imp__eq_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | V_b = V_c ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_add__left__cancel_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | V_b = V_c ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_add__right__cancel_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | V_b = V_c ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_apps__eq__Abs__conv_1,axiom, % 0.67/0.85 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.67/0.85 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_le__add__diff_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | ~ c_lessequals(V_k,V_n,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Opwr__mul_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Omul__d_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Omul__c_0,axiom, % 0.67/0.85 ( hAPP(hAPP(V_mul,V_x),V_y) = hAPP(hAPP(V_mul,V_y),V_x) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Omul__a_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Omul__1_0,axiom, % 0.67/0.85 ( hAPP(hAPP(V_mul,V_r1),V_x) = V_x % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Omul__0_0,axiom, % 0.67/0.85 ( hAPP(hAPP(V_mul,V_r0),V_x) = V_r0 % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Oadd__c_0,axiom, % 0.67/0.85 ( hAPP(hAPP(V_add,V_x),V_y) = hAPP(hAPP(V_add,V_y),V_x) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Oadd__a_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Oadd__0_0,axiom, % 0.67/0.85 ( hAPP(hAPP(V_add,V_r0),V_x) = V_x % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Osemiring__rules_I25_J_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Osemiring__rules_I24_J_0,axiom, % 0.67/0.85 ( hAPP(hAPP(V_add,V_a),V_c) = hAPP(hAPP(V_add,V_c),V_a) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Osemiring__rules_I23_J_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Osemiring__rules_I22_J_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Osemiring__rules_I21_J_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_gb__semiring_Osemiring__rules_I20_J_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_Suc__inject_0,axiom, % 0.67/0.85 ( c_Suc(V_x) != c_Suc(V_y) % 0.67/0.85 | V_x = V_y ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_nat_Oinject_0,axiom, % 0.67/0.85 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.67/0.85 | V_nat = V_nat_H ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_foldr__conv__foldl_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.67/0.85 | 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) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_less__Suc0_1,axiom, % 0.67/0.85 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.85 | ~ 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) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_even__less__0__iff_0,axiom, % 0.67/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.67/0.85 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.85 | ~ 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) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_even__less__0__iff_1,axiom, % 0.67/0.85 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_one__is__add_1,axiom, % 0.67/0.85 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.67/0.85 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.85 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_one__is__add_2,axiom, % 0.67/0.85 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.67/0.85 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.85 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_power__less__imp__less__base_0,axiom, % 0.67/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.85 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.67/0.85 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.85 | ~ 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) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_foldl__absorb0_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.67/0.85 | 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) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_min__max_Ole__sup__iff_1,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_y,V_z,T_a) % 0.67/0.85 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_min__max_Ole__sup__iff_0,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_x,V_z,T_a) % 0.67/0.85 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_x,V_y,T_a),V_z,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_le__max__iff__disj_2,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.67/0.85 | ~ c_lessequals(V_z,V_y,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_le__max__iff__disj_1,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) % 0.67/0.85 | ~ c_lessequals(V_z,V_x,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_min__max_Ole__supI2_0,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.67/0.85 | ~ c_lessequals(V_x,V_b,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_min__max_Ole__supI1_0,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_x,c_Orderings_Oord__class_Omax(V_a,V_b,T_a),T_a) % 0.67/0.85 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_min__max_Ole__supE_1,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_b,V_x,T_a) % 0.67/0.85 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_min__max_Ole__supE_0,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_lessequals(V_a,V_x,T_a) % 0.67/0.85 | ~ c_lessequals(c_Orderings_Oord__class_Omax(V_a,V_b,T_a),V_x,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_le__diff__conv_0,axiom, % 0.67/0.85 ( c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) % 0.67/0.85 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_le__diff__conv_1,axiom, % 0.67/0.85 ( c_lessequals(c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),V_i,tc_nat) % 0.67/0.85 | ~ c_lessequals(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_zero__less__power_0,axiom, % 0.67/0.85 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_less__max__iff__disj_0,axiom, % 0.67/0.85 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.85 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.67/0.85 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omax(V_x,V_y,T_a),T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_Beta_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_InductTermi_OIT(V_s) % 0.67/0.85 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_r,V_s,c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB)) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_foldl__Nil_0,axiom, % 0.67/0.85 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ). % 0.67/0.85 % 0.67/0.85 cnf(cls_substn_Osimps_I1_J_2,axiom, % 0.67/0.85 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.67/0.85 | V_i = V_k % 0.67/0.85 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_App_I2_J_0,axiom, % 0.67/0.85 c_InductTermi_OIT(v_s____) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.67/0.85 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.67/0.85 | V_dB = V_dB_H ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_diff__Suc__Suc_0,axiom, % 0.67/0.85 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) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_add__nonpos__neg_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.85 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_add__neg__nonpos_0,axiom, % 0.67/0.85 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.85 | 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) % 0.67/0.85 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_less__SucE_0,axiom, % 0.67/0.85 ( V_m = V_n % 0.67/0.85 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_less__antisym_0,axiom, % 0.67/0.85 ( V_m = V_n % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.67/0.85 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_not__less__less__Suc__eq_0,axiom, % 0.67/0.85 ( V_n = V_m % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.67/0.85 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_Abs__eq__apps__conv_1,axiom, % 0.67/0.85 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.67/0.85 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_diff__add__assoc_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_diff__add__assoc2_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_diff__diff__right_0,axiom, % 0.67/0.85 ( 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) % 0.67/0.85 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_less__imp__diff__less_0,axiom, % 0.67/0.85 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 0.67/0.85 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_type_Orecs_I1_J_0,axiom, % 0.67/0.85 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_apps__preserves__beta_0,axiom, % 0.67/0.85 ( 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)) % 0.67/0.85 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.67/0.85 % 0.67/0.85 cnf(cls_empty__replicate_1,axiom, % 0.67/0.85 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_one__is__add_4,axiom, % 0.67/0.86 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)) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_less__le__not__le_2,axiom, % 0.67/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.86 | c_lessequals(V_y,V_x,T_a) % 0.67/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_nat__less__le_1,axiom, % 0.67/0.86 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_less__not__refl_0,axiom, % 0.67/0.86 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_order__less__le_1,axiom, % 0.67/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_linorder__neq__iff_1,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_order__less__irrefl_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__imp__diff__is__add_1,axiom, % 0.67/0.86 ( ~ c_lessequals(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),tc_nat) % 0.67/0.86 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_i),V_i,tc_nat) = V_k ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_liftn_Osimps_I1_J_1,axiom, % 0.67/0.86 ( 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)) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_beta_0,axiom, % 0.67/0.86 c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t),c_Lambda_Osubst(V_s,V_t,c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__pos__pos_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__add1_0,axiom, % 0.67/0.86 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__add2_0,axiom, % 0.67/0.86 c_lessequals(V_n,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__iff__add_1,axiom, % 0.67/0.86 c_lessequals(V_m,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x),tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_nat__minus__add__max_0,axiom, % 0.67/0.86 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) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.86 | V_x = V_y ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | V_x = V_y % 0.67/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__antisym_0,axiom, % 0.67/0.86 ( V_m = V_n % 0.67/0.86 | ~ c_lessequals(V_n,V_m,tc_nat) % 0.67/0.86 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_nat__neq__iff_0,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.86 | V_m = V_n ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_nat__less__cases_0,axiom, % 0.67/0.86 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.67/0.86 | V_m = V_n % 0.67/0.86 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_linorder__neqE__nat_0,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.67/0.86 | V_x = V_y ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_order__eq__iff_2,axiom, % 0.67/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.86 | V_x = V_y % 0.67/0.86 | ~ c_lessequals(V_y,V_x,T_a) % 0.67/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_linorder__neqE_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.86 | V_x = V_y ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_order__antisym_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.86 | V_x = V_y % 0.67/0.86 | ~ c_lessequals(V_y,V_x,T_a) % 0.67/0.86 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_order__antisym__conv_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.86 | V_x = V_y % 0.67/0.86 | ~ c_lessequals(V_x,V_y,T_a) % 0.67/0.86 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_linorder__less__linear_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.67/0.86 | V_x = V_y % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | V_x = V_y % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__iff__diff__le__0_1,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.86 | c_lessequals(V_a,V_b,T_a) % 0.67/0.86 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__iff__diff__le__0_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.86 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_min__max_Osup__idem_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | c_Orderings_Oord__class_Omax(V_x,V_x,T_a) = V_x ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__strict__mono_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__less__mono_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_termination__basic__simps_I5_J_0,axiom, % 0.67/0.86 ( c_lessequals(V_x,V_y,tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_nat__less__le_0,axiom, % 0.67/0.86 ( c_lessequals(V_m,V_n,tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_order__le__less_1,axiom, % 0.67/0.86 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.86 | c_lessequals(V_x,V_y,T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_order__less__imp__le_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.86 | c_lessequals(V_x,V_y,T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | V_rs = V_ss ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | V_r = V_s ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_apps__eq__Abs__conv_0,axiom, % 0.67/0.86 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.67/0.86 | V_s = c_Lambda_OdB_OAbs(V_r) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_diff__Suc__diff__eq1_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_less__iff__diff__less__0_1,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.67/0.86 | ~ 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_less__iff__diff__less__0_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_of__nat__less__iff_1,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_of__nat__less__iff_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.86 | ~ 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_lessI_0,axiom, % 0.67/0.86 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_less__Suc__eq_2,axiom, % 0.67/0.86 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_less__trans__Suc_0,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__le__cancel__right_1,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__le__cancel__right_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.86 | c_lessequals(V_a,V_b,T_a) % 0.67/0.86 | ~ 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__le__cancel__left_1,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__le__cancel__left_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.86 | c_lessequals(V_a,V_b,T_a) % 0.67/0.86 | ~ 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__right__mono_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__left__mono_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__le__mono1_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_nat__add__left__cancel__le_0,axiom, % 0.67/0.86 ( c_lessequals(V_m,V_n,tc_nat) % 0.67/0.86 | ~ 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_nat__add__left__cancel__le_1,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_App__eq__foldl__conv_0,axiom, % 0.67/0.86 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) % 0.67/0.86 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I19_J_0,axiom, % 0.67/0.86 ( 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)) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I18_J_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I17_J_0,axiom, % 0.67/0.86 ( 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)) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I16_J_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I15_J_0,axiom, % 0.67/0.86 ( 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)) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I14_J_0,axiom, % 0.67/0.86 ( 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))) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I13_J_0,axiom, % 0.67/0.86 ( 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)) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I12_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_mul,V_a),V_r1) = V_a % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I11_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_mul,V_r1),V_a) = V_a % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I10_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_mul,V_a),V_r0) = V_r0 % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I9_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_mul,V_r0),V_a) = V_r0 % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I8_J_0,axiom, % 0.67/0.86 ( 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)) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I7_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_mul,V_a),V_b) = hAPP(hAPP(V_mul,V_b),V_a) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I6_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_add,V_a),V_r0) = V_a % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I5_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_add,V_r0),V_a) = V_a % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I4_J_0,axiom, % 0.67/0.86 ( hAPP(hAPP(V_add,V_m),V_m) = hAPP(hAPP(V_mul,hAPP(hAPP(V_add,V_r1),V_r1)),V_m) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I3_J_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I2_J_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_gb__semiring_Osemiring__rules_I1_J_0,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_type_Osplit__asm_0,axiom, % 0.67/0.86 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a))) % 0.67/0.86 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_type_Osplit_0,axiom, % 0.67/0.86 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a))) % 0.67/0.86 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__is__1_3,axiom, % 0.67/0.86 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.86 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.86 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__is__1_0,axiom, % 0.67/0.86 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.86 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.86 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_Suc__diff__diff_0,axiom, % 0.67/0.86 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) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_Lambda_0,axiom, % 0.67/0.86 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(V_r)) % 0.67/0.86 | ~ c_InductTermi_OIT(V_r) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.86 | 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)) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_dB_Osize_I6_J_0,axiom, % 0.67/0.86 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.86 | ~ 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_min__max_Osup__commute_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | c_Orderings_Oord__class_Omax(V_x,V_y,T_a) = c_Orderings_Oord__class_Omax(V_y,V_x,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_power__eq__imp__eq__base_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.86 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 0.67/0.86 | V_a = V_b % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.67/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_liftn_Osimps_I1_J_0,axiom, % 0.67/0.86 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__Suc__eq_2,axiom, % 0.67/0.86 c_lessequals(c_Suc(V_n),c_Suc(V_n),tc_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_drop__replicate_0,axiom, % 0.67/0.86 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) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_replicate__empty_1,axiom, % 0.67/0.86 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_diff__diff__cancel_0,axiom, % 0.67/0.86 ( c_HOL_Ominus__class_Ominus(V_n,c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = V_i % 0.67/0.86 | ~ c_lessequals(V_i,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_apps__eq__Abs__conv_2,axiom, % 0.67/0.86 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_substn_Osimps_I1_J_1,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.67/0.86 | 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)) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_le__SucE_0,axiom, % 0.67/0.86 ( V_m = c_Suc(V_n) % 0.67/0.86 | c_lessequals(V_m,V_n,tc_nat) % 0.67/0.86 | ~ c_lessequals(V_m,c_Suc(V_n),tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_not__less__less__Suc__eq_1,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_not__less__eq_1,axiom, % 0.67/0.86 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_not__less__eq_0,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.67/0.86 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_max__add__distrib__left_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.86 | 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_power__inject__base_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | V_a = V_b % 0.67/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.86 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_min__max_Osup__assoc_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_min__max_Osup__left__commute_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.67/0.86 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.86 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_abs_0,axiom, % 0.67/0.86 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(V_s),c_Lambda_OdB_OAbs(V_t)) % 0.67/0.86 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_min__max_Osup__left__idem_0,axiom, % 0.67/0.86 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.86 | 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) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_diff__add__inverse2_0,axiom, % 0.67/0.86 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ). % 0.67/0.86 % 0.67/0.86 cnf(cls_diff__add__inverse_0,axiom, % 0.67/0.86 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__diff__cancel_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.67/0.86 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_type_Osimps_I5_J_0,axiom, % 0.67/0.86 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__le__less__mono_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.67/0.86 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__less__le__mono_0,axiom, % 0.67/0.86 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.67/0.86 | 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) % 0.67/0.86 | ~ c_lessequals(V_c,V_d,T_a) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_Suc__less__eq_0,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_Suc__mono_0,axiom, % 0.67/0.86 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__gr__0_2,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.67/0.86 % 0.67/0.86 cnf(cls_add__gr__0_1,axiom, % 0.67/0.86 ( 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) % 0.67/0.86 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.87 | 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_typing__elims_I3_J_0,axiom, % 0.67/0.87 ( V_T = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t)),c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t)) % 0.67/0.87 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_power__eq__0__iff_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.67/0.87 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.67/0.87 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.67/0.87 | ~ class_Power_Opower(T_a) % 0.67/0.87 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_field__power__not__zero_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.67/0.87 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_double__eq__0__iff_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.67/0.87 | ~ class_Int_Onumber__ring(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_diff__self_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_diff__0__right_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_right__minus__eq_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.67/0.87 | ~ class_Int_Onumber__ring(T_a) % 0.67/0.87 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.67/0.87 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_double__eq__0__iff_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.87 | 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.67/0.87 | ~ class_Int_Onumber__ring(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.87 | V_x = V_y ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_right__minus__eq_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.87 | V_a = V_b ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.87 | V_a = V_b ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.67/0.87 | ~ class_Int_Onumber__ring(T_a) % 0.67/0.87 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__0__left_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.67/0.87 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__0__eq_1,axiom, % 0.67/0.87 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_neq0__conv_1,axiom, % 0.67/0.87 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_liftn__0_0,axiom, % 0.67/0.87 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ). % 0.67/0.87 % 0.67/0.87 cnf(cls_gr0I_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.67/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__neq__Zero_0,axiom, % 0.67/0.87 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.67/0.87 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_diffs0__imp__equal_0,axiom, % 0.67/0.87 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.87 | V_m = V_n ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__0__eq_0,axiom, % 0.67/0.87 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.87 | ~ c_lessequals(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__is__0_1,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__is__0_0,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.87 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_minus__nat_Odiff__0_0,axiom, % 0.67/0.87 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 0.67/0.87 % 0.67/0.87 cnf(cls_diff__self__eq__0_0,axiom, % 0.67/0.87 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.67/0.87 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) % 0.67/0.87 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__eq__self__zero_0,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m % 0.67/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Zero__neq__Suc_0,axiom, % 0.67/0.87 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.67/0.87 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_foldl__foldr1_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.67/0.87 | 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__imp__diff__is__add_0,axiom, % 0.67/0.87 ( ~ c_lessequals(V_i,V_j,tc_nat) % 0.67/0.87 | V_j = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_j,V_i,tc_nat)),V_i) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__add__diff__inverse_0,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 0.67/0.87 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__add__diff__inverse2_0,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)),V_n) = V_m % 0.67/0.87 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_gb__semiring_Osemiring__rules_I27_J_0,axiom, % 0.67/0.87 ( hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) % 0.67/0.87 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_gb__semiring_Osemiring__rules_I28_J_0,axiom, % 0.67/0.87 ( hAPP(hAPP(V_mul,hAPP(hAPP(V_pwr,V_x),V_q)),V_x) = hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) % 0.67/0.87 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_gb__semiring_Osemiring__rules_I35_J_0,axiom, % 0.67/0.87 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_q)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_q)) % 0.67/0.87 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_gb__semiring_Opwr__Suc_0,axiom, % 0.67/0.87 ( hAPP(hAPP(V_pwr,V_x),c_Suc(V_n)) = hAPP(hAPP(V_mul,V_x),hAPP(hAPP(V_pwr,V_x),V_n)) % 0.67/0.87 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__diff__assoc_0,axiom, % 0.67/0.87 ( 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) % 0.67/0.87 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__diff__assoc2_0,axiom, % 0.67/0.87 ( 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) % 0.67/0.87 | ~ c_lessequals(V_k,V_j,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_drop__drop_0,axiom, % 0.67/0.87 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) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_power__le__imp__le__base_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.87 | c_lessequals(V_a,V_b,T_a) % 0.67/0.87 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_of__nat__0__less__iff_1,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.87 | 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_of__nat__0__less__iff_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_replicate__empty_0,axiom, % 0.67/0.87 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a) % 0.67/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Orecs_I3_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(hAPP(V_f3,V_dB),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB,T_a)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_empty__replicate_0,axiom, % 0.67/0.87 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a) % 0.67/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__leD_0,axiom, % 0.67/0.87 ( c_lessequals(V_m,V_n,tc_nat) % 0.67/0.87 | ~ c_lessequals(c_Suc(V_m),V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__SucI_0,axiom, % 0.67/0.87 ( c_lessequals(V_m,c_Suc(V_n),tc_nat) % 0.67/0.87 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_list__app__typeD_1,axiom, % 0.67/0.87 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts)) % 0.67/0.87 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__n__not__le__n_0,axiom, % 0.67/0.87 ~ c_lessequals(c_Suc(V_n),V_n,tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_substn__subst__0_0,axiom, % 0.67/0.87 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Osubst(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_less__diff__iff_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | ~ 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) % 0.67/0.87 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.67/0.87 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_less__diff__iff_1,axiom, % 0.67/0.87 ( 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | ~ c_lessequals(V_k,V_n,tc_nat) % 0.67/0.87 | ~ c_lessequals(V_k,V_m,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_pos__add__strict_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_subst__lt_0,axiom, % 0.67/0.87 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osplit_2,axiom, % 0.67/0.87 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osplit__asm_2,axiom, % 0.67/0.87 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_subst__Var__IT_0,axiom, % 0.67/0.87 ( c_InductTermi_OIT(c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j)) % 0.67/0.87 | ~ c_InductTermi_OIT(V_r) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.87 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.67/0.87 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.87 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_not__add__less1_0,axiom, % 0.67/0.87 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_not__add__less2_0,axiom, % 0.67/0.87 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_of__nat__diff_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Oring__1(T_a) % 0.67/0.87 | 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) % 0.67/0.87 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_less__diff__conv_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_less__diff__conv_1,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__n__not__n_0,axiom, % 0.67/0.87 c_Suc(V_n) != V_n ). % 0.67/0.87 % 0.67/0.87 cnf(cls_n__not__Suc__n_0,axiom, % 0.67/0.87 V_n != c_Suc(V_n) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__strict__right__mono_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.67/0.87 | 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__less__cancel__right_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.87 | 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__less__cancel__right_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__strict__left__mono_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.67/0.87 | 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__less__cancel__left_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.87 | 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__less__cancel__left_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__less__mono1_0,axiom, % 0.67/0.87 ( 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat__add__left__cancel__less_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat__add__left__cancel__less_1,axiom, % 0.67/0.87 ( 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_xt1_I6_J_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_lessequals(V_z,V_x,T_a) % 0.67/0.87 | ~ c_lessequals(V_z,V_y,T_a) % 0.67/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_xt1_I7_J_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.67/0.87 | ~ c_lessequals(V_z,V_y,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_xt1_I8_J_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.67/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.67/0.87 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.87 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.67/0.87 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__trans_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.87 | c_lessequals(V_x,V_z,T_a) % 0.67/0.87 | ~ c_lessequals(V_y,V_z,T_a) % 0.67/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__refl_0,axiom, % 0.67/0.87 c_lessequals(V_n,V_n,tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__trans_0,axiom, % 0.67/0.87 ( c_lessequals(V_i,V_k,tc_nat) % 0.67/0.87 | ~ c_lessequals(V_j,V_k,tc_nat) % 0.67/0.87 | ~ c_lessequals(V_i,V_j,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_eq__imp__le_0,axiom, % 0.67/0.87 c_lessequals(V_x,V_x,tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__eq__iff_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_lessequals(V_x,V_x,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__eq__refl_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.87 | c_lessequals(V_x,V_x,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__le__less__trans_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.67/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__less__le__trans_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.67/0.87 | ~ c_lessequals(V_y,V_z,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__add__right__mono_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.87 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.67/0.87 | ~ c_lessequals(V_c,V_d,T_a) % 0.67/0.87 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat__diff__split_0,axiom, % 0.67/0.87 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) % 0.67/0.87 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__is__1_5,axiom, % 0.67/0.87 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)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__less__Suc__eq_0,axiom, % 0.67/0.87 ( V_n = V_m % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.67/0.87 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_zero__less__diff_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_zero__less__diff_1,axiom, % 0.67/0.87 ( 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) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__lessD_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_less__SucI_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__pred_0,axiom, % 0.67/0.87 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_of__nat__add_0,axiom, % 0.67/0.87 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.67/0.87 | 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)) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_diff__less_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__eqI_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.67/0.87 | c_lessequals(V_y_H,V_x_H,T_a) % 0.67/0.87 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__eqI_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.67/0.87 | c_lessequals(V_y,V_x,T_a) % 0.67/0.87 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_less__eqI_0,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_less__eqI_1,axiom, % 0.67/0.87 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.67/0.87 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__diff__inverse_0,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 0.67/0.87 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_diff__Suc__less_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_App__eq__foldl__conv_4,axiom, % 0.67/0.87 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__is__1_1,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.87 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.87 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__is__1_2,axiom, % 0.67/0.87 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.67/0.87 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.67/0.87 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_xt1_I11_J_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.67/0.87 | V_a = V_b % 0.67/0.87 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_xt1_I12_J_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.67/0.87 | ~ c_lessequals(V_b,V_a,T_a) % 0.67/0.87 | V_a = V_b ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat__less__le_2,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | V_m = V_n % 0.67/0.87 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__eq__less__or__eq_0,axiom, % 0.67/0.87 ( V_m = V_n % 0.67/0.87 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le__neq__implies__less_0,axiom, % 0.67/0.87 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.67/0.87 | V_m = V_n % 0.67/0.87 | ~ c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__le__less_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | V_x = V_y % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__less__le_2,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.87 | V_x = V_y % 0.67/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__le__neq__trans_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.67/0.87 | V_a = V_b % 0.67/0.87 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__neq__le__trans_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.67/0.87 | ~ c_lessequals(V_a,V_b,T_a) % 0.67/0.87 | V_a = V_b ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.87 | V_x = V_y % 0.67/0.87 | ~ c_lessequals(V_x,V_y,T_a) % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.87 | V_x = V_y % 0.67/0.87 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.87 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osize_I2_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__le__mono_0,axiom, % 0.67/0.87 ( c_lessequals(V_n,V_m,tc_nat) % 0.67/0.87 | ~ c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Suc__le__mono_1,axiom, % 0.67/0.87 ( c_lessequals(c_Suc(V_n),c_Suc(V_m),tc_nat) % 0.67/0.87 | ~ c_lessequals(V_n,V_m,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osize_I3_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_xt1_I9_J_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Oorder(T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.67/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat__le__linear_0,axiom, % 0.67/0.87 ( c_lessequals(V_n,V_m,tc_nat) % 0.67/0.87 | c_lessequals(V_m,V_n,tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_linorder__linear_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Olinorder(T_a) % 0.67/0.87 | c_lessequals(V_y,V_x,T_a) % 0.67/0.87 | c_lessequals(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__less__asym_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_order__less__asym_H_0,axiom, % 0.67/0.87 ( ~ class_Orderings_Opreorder(T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.67/0.87 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_add__is__0_2,axiom, % 0.67/0.87 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) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_nat_Oinduct_0,axiom, % 0.67/0.87 ( hBOOL(hAPP(V_P,V_nat)) % 0.67/0.87 | hBOOL(hAPP(V_P,v_sko__Nat__Xnat__Xinduct__1(V_P))) % 0.67/0.87 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_gr__implies__not0_0,axiom, % 0.67/0.87 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_not__less0_0,axiom, % 0.67/0.87 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_bot__nat__def_0,axiom, % 0.67/0.87 c_Orderings_Obot__class_Obot(tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_upt_Oinduct_0,axiom, % 0.67/0.87 ( hBOOL(hAPP(V_P,V_nat)) % 0.67/0.87 | hBOOL(hAPP(V_P,v_sko__List__Xupt__Xinduct__1(V_P))) % 0.67/0.87 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_drop__0_0,axiom, % 0.67/0.87 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ). % 0.67/0.87 % 0.67/0.87 cnf(cls_diff__0__eq__0_0,axiom, % 0.67/0.87 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_infinite__descent0_1,axiom, % 0.67/0.87 ( hBOOL(hAPP(V_P,V_n)) % 0.67/0.87 | ~ hBOOL(hAPP(V_P,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(V_P))) % 0.67/0.87 | ~ hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_le0_0,axiom, % 0.67/0.87 c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_size__char_0,axiom, % 0.67/0.87 c_Nat_Osize__class_Osize(V_c,tc_String_Ochar) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_replicate__eq__replicate_2,axiom, % 0.67/0.87 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) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_max__0R_0,axiom, % 0.67/0.87 c_Orderings_Oord__class_Omax(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_n ). % 0.67/0.87 % 0.67/0.87 cnf(cls_max__0L_0,axiom, % 0.67/0.87 c_Orderings_Oord__class_Omax(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 0.67/0.87 % 0.67/0.87 cnf(cls_replicate__eq__replicate_1,axiom, % 0.67/0.87 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 0.67/0.87 | V_x = V_y % 0.67/0.87 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.67/0.87 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.67/0.87 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.67/0.87 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ). % 0.67/0.87 % 0.67/0.87 cnf(cls_gb__semiring_Opwr__0_0,axiom, % 0.67/0.87 ( hAPP(hAPP(V_pwr,V_x),c_HOL_Ozero__class_Ozero(tc_nat)) = V_r1 % 0.67/0.87 | ~ c_Groebner__Basis_Ogb__semiring(V_add,V_mul,V_pwr,V_r0,V_r1,T_a) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_subst__App_0,axiom, % 0.67/0.87 c_Lambda_Osubst(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubst(V_t,V_s,V_k)),c_Lambda_Osubst(V_u,V_s,V_k)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.67/0.87 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osplit__asm_1,axiom, % 0.67/0.87 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_xb),V_xc),t_a))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osplit_1,axiom, % 0.67/0.87 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),t_a))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osimps_I11_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(V_f2,V_dB1),V_dB2) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Orecs_I2_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_dB1),V_dB2),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB1,T_a)),c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,V_dB2,T_a)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_apps__eq__tail__conv_0,axiom, % 0.67/0.87 ( 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) % 0.67/0.87 | V_r = V_s ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_appR_0,axiom, % 0.67/0.87 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t)) % 0.67/0.87 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_appL_0,axiom, % 0.67/0.87 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)) % 0.67/0.87 | ~ c_Lambda_Obeta(V_s,V_t) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_liftn_Osimps_I2_J_0,axiom, % 0.67/0.87 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)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_substn_Osimps_I2_J_0,axiom, % 0.67/0.87 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)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Var__apps__neq__Abs__apps_0,axiom, % 0.67/0.87 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) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Var__eq__apps__conv_2,axiom, % 0.67/0.87 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Var__eq__apps__conv_1,axiom, % 0.67/0.87 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.67/0.87 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Abs__App__neq__Var__apps_0,axiom, % 0.67/0.87 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) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_var__app__typesE_1,axiom, % 0.67/0.87 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts)) % 0.67/0.87 | ~ 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) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_var__app__types_1,axiom, % 0.67/0.87 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us)) % 0.67/0.87 | ~ 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) % 0.67/0.87 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.67/0.87 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osplit__asm_0,axiom, % 0.67/0.87 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osplit_0,axiom, % 0.67/0.87 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_subst__eq_0,axiom, % 0.67/0.87 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ). % 0.67/0.87 % 0.67/0.87 cnf(cls_beta__cases_I1_J_0,axiom, % 0.67/0.87 ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(V_i),V_t) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Orecs_I1_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_Var__IT_0,axiom, % 0.67/0.87 c_InductTermi_OIT(c_Lambda_OdB_OVar(V_n)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_dB_Osimps_I10_J_0,axiom, % 0.67/0.87 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_var__app__types_0,axiom, % 0.67/0.87 ( V_U = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype) % 0.67/0.87 | ~ 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) % 0.67/0.87 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.67/0.87 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_list__app__typeE_0,axiom, % 0.67/0.87 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.67/0.87 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_list__app__typeI_0,axiom, % 0.67/0.87 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) % 0.67/0.87 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.67/0.87 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_list__app__typeD_0,axiom, % 0.67/0.87 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.67/0.87 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_subject__reduction_0,axiom, % 0.67/0.87 ( c_Type_Otyping(V_e,V_t_H,V_T) % 0.67/0.87 | ~ c_Lambda_Obeta(V_t,V_t_H) % 0.67/0.87 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type_Osimps_I4_J_0,axiom, % 0.67/0.87 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type__induct_1,axiom, % 0.67/0.87 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.67/0.87 | hBOOL(hAPP(V_P,V_T)) % 0.67/0.87 | hBOOL(hAPP(V_P,V_T2)) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type__induct_0,axiom, % 0.67/0.87 ( c_Type_Osko__Type__Xtype__induct__1__1(V_P) != hAPP(hAPP(c_Type_Otype_OFun,V_T1a),V_x) % 0.67/0.87 | hBOOL(hAPP(V_P,V_T)) % 0.67/0.87 | hBOOL(hAPP(V_P,V_T1a)) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type_Orecs_I2_J_0,axiom, % 0.67/0.87 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)) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type_Osimps_I6_J_0,axiom, % 0.67/0.87 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) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type_Osplit__asm_1,axiom, % 0.67/0.87 ( ~ 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))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type_Osplit_1,axiom, % 0.67/0.87 ( ~ 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))) % 0.67/0.87 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ). % 0.67/0.87 % 0.67/0.87 cnf(cls_type_Osimps_I3_J_0,axiom, % 0.67/0.87 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ). % 0.67/0.87 % 0.67/0.88 cnf(cls_abs__typeE_0,axiom, % 0.67/0.88 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xabs__typeE__1__2(V_e,V_t)) % 0.67/0.88 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_typing__elims_I3_J_1,axiom, % 0.67/0.88 ( c_Type_Otyping(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(V_T,V_e,V_t),tc_Type_Otype),V_t,c_Type_Osko__Type__Xtyping__elims__3__2(V_T,V_e,V_t)) % 0.67/0.88 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_lift__IT_0,axiom, % 0.67/0.88 ( c_InductTermi_OIT(c_Lambda_Olift(V_t,V_i)) % 0.67/0.88 | ~ c_InductTermi_OIT(V_t) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_subst__lift_0,axiom, % 0.67/0.88 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ). % 0.67/0.88 % 0.67/0.88 cnf(cls_lift__preserves__beta_0,axiom, % 0.67/0.88 ( c_Lambda_Obeta(c_Lambda_Olift(V_r,V_i),c_Lambda_Olift(V_s,V_i)) % 0.67/0.88 | ~ c_Lambda_Obeta(V_r,V_s) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_shift__gt_0,axiom, % 0.67/0.88 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j) % 0.67/0.88 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_subst__type__IT_0,axiom, % 0.67/0.88 ( c_InductTermi_OIT(c_Lambda_Osubst(V_t,V_u,V_i)) % 0.67/0.88 | ~ c_Type_Otyping(V_e,V_u,V_U) % 0.67/0.88 | ~ c_InductTermi_OIT(V_u) % 0.67/0.88 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),V_t,V_T) % 0.67/0.88 | ~ c_InductTermi_OIT(V_t) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_var__app__typesE_0,axiom, % 0.67/0.88 ( c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.67/0.88 | ~ 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) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_power__eq__0__iff_2,axiom, % 0.67/0.88 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.67/0.88 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.67/0.88 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.67/0.88 | ~ class_Power_Opower(T_a) % 0.67/0.88 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.88 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_power__0__left_1,axiom, % 0.67/0.88 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.67/0.88 | ~ class_Power_Opower(T_a) % 0.67/0.88 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.67/0.88 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_power__eq__0__iff_1,axiom, % 0.67/0.88 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.67/0.88 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.67/0.88 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.67/0.88 | ~ class_Power_Opower(T_a) % 0.67/0.88 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_of__nat__0_0,axiom, % 0.67/0.88 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.67/0.88 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_dB_Osize_I4_J_0,axiom, % 0.67/0.88 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_dB_Osize_I1_J_0,axiom, % 0.67/0.88 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom, % 0.67/0.88 ( 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) % 0.67/0.88 | V_m = V_n ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom, % 0.67/0.88 ( 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) % 0.67/0.88 | V_rs = V_ss ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_Var__eq__apps__conv_0,axiom, % 0.67/0.88 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.67/0.88 | c_Lambda_OdB_OVar(V_m) = V_s ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_app__Var__IT_0,axiom, % 0.67/0.88 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i))) % 0.67/0.88 | ~ c_InductTermi_OIT(V_t) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_App_I4_J_0,axiom, % 0.67/0.88 c_InductTermi_OIT(v_ta____) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_typing__elims_I2_J_1,axiom, % 0.67/0.88 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)) % 0.67/0.88 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_shift__commute_0,axiom, % 0.67/0.88 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) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.67/0.88 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.67/0.88 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_subst__lemma_0,axiom, % 0.67/0.88 ( ~ c_Type_Otyping(V_e_H,V_u,V_U) % 0.67/0.88 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T) % 0.67/0.88 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_var__app__type__eq_0,axiom, % 0.67/0.88 ( V_T = V_U % 0.67/0.88 | ~ 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) % 0.67/0.88 | ~ 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) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_typing__elims_I2_J_0,axiom, % 0.67/0.88 ( c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T)) % 0.67/0.88 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_Abs_0,axiom, % 0.67/0.88 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) % 0.67/0.88 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_App_I1_J_0,axiom, % 0.67/0.88 c_Type_Otyping(v_ea____,v_s____,hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_lift__type_0,axiom, % 0.67/0.88 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T) % 0.67/0.88 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.67/0.88 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.67/0.88 | V_nat = V_nat_H ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_type_Osimps_I2_J_0,axiom, % 0.67/0.88 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.67/0.88 | V_type1 = V_type1_H ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_type_Osimps_I2_J_1,axiom, % 0.67/0.88 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.67/0.88 | V_type2 = V_type2_H ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_typing_OApp_0,axiom, % 0.67/0.88 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U) % 0.67/0.88 | ~ c_Type_Otyping(V_env,V_t,V_T) % 0.67/0.88 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.67/0.88 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.67/0.88 | V_dB1 = V_dB1_H ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.67/0.88 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.67/0.88 | V_dB2 = V_dB2_H ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.67/0.88 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_shift__eq_0,axiom, % 0.67/0.88 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ). % 0.67/0.88 % 0.67/0.88 cnf(cls_typing__elims_I1_J_0,axiom, % 0.67/0.88 ( hAPP(V_e,V_i) = V_T % 0.67/0.88 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.67/0.88 c_Lambda_Olift(hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Olift(V_s,V_k)),c_Lambda_Olift(V_t,V_k)) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_App_I3_J_0,axiom, % 0.67/0.88 c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_typing_OVar_0,axiom, % 0.67/0.88 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.67/0.88 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_CHAINED_0,axiom, % 0.67/0.88 c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_CHAINED_0_01,axiom, % 0.67/0.88 c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_conjecture_0,negated_conjecture, % 0.67/0.88 ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.67/0.88 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.67/0.88 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.67/0.88 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.67/0.88 | ~ class_Orderings_Oorder(T_1) ) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_fun__Orderings_Obot,axiom, % 0.67/0.88 ( class_Orderings_Obot(tc_fun(T_2,T_1)) % 0.67/0.88 | ~ class_Orderings_Obot(T_1) ) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.67/0.88 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.67/0.88 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.67/0.88 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.67/0.88 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.67/0.88 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.67/0.88 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.67/0.88 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.67/0.88 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.67/0.88 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.67/0.88 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.67/0.88 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.67/0.88 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 0.67/0.88 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.67/0.88 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.67/0.88 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.67/0.88 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.67/0.88 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.67/0.88 class_Nat_Osemiring__char__0(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.67/0.88 class_Orderings_Opreorder(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.67/0.88 class_Orderings_Olinorder(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.67/0.88 class_Orderings_Oorder(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Orderings_Obot,axiom, % 0.67/0.88 class_Orderings_Obot(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(clsarity_nat__Power_Opower,axiom, % 0.67/0.88 class_Power_Opower(tc_nat) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.67/0.88 c_fequal(V_x,V_x,T_a) ). % 0.67/0.88 % 0.67/0.88 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.67/0.88 ( V_X = V_Y % 0.67/0.88 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.67/0.88 % 0.67/0.88 %------------------------------------------------------------------------------ % 0.67/0.88 %------------------------------------------- % 0.67/0.88 % Proof found % 0.67/0.88 % SZS status Theorem for theBenchmark % 0.67/0.88 % SZS output start Proof % 0.67/0.88 %ClaNum:772(EqnAxiom:166) % 0.67/0.88 %VarNum:3466(SingletonVarNum:1505) % 0.67/0.88 %MaxLitNum:6 % 0.67/0.88 %MaxfuncDepth:5 % 0.67/0.88 %SharedTerms:65 % 0.67/0.88 %goalClause: 313 % 0.67/0.88 %singleGoalClaCount:1 % 0.67/0.88 [167]P1(a1) % 0.67/0.88 [168]P28(a1) % 0.67/0.88 [169]P2(a1) % 0.67/0.88 [170]P3(a1) % 0.67/0.88 [171]P29(a1) % 0.67/0.88 [172]P23(a1) % 0.67/0.88 [173]P4(a1) % 0.67/0.88 [174]P25(a1) % 0.67/0.88 [175]P36(a1) % 0.67/0.88 [176]P30(a1) % 0.67/0.88 [177]P26(a1) % 0.67/0.88 [178]P31(a1) % 0.67/0.88 [179]P27(a1) % 0.67/0.88 [180]P5(a1) % 0.67/0.88 [181]P15(a1) % 0.67/0.88 [182]P19(a1) % 0.67/0.88 [183]P17(a1) % 0.67/0.88 [184]P18(a1) % 0.67/0.88 [185]P6(a47) % 0.67/0.88 [186]P6(a51) % 0.67/0.88 [187]P24(a1) % 0.67/0.88 [188]P39(a1) % 0.67/0.88 [189]P32(a1) % 0.67/0.88 [190]P33(a1) % 0.67/0.88 [191]P40(a1) % 0.67/0.88 [197]P9(a48,a51,a49) % 0.67/0.88 [192]E(f2(a1),f6(a1)) % 0.67/0.88 [233]P9(a48,a47,f25(f25(a29,a49),a50)) % 0.67/0.88 [273]P9(f31(a48,f2(a1),f25(f25(a29,a49),a50),a45),f15(a51,f2(a1)),a49) % 0.67/0.88 [274]P9(f31(a48,f2(a1),f25(f25(a29,a49),a50),a45),f7(f2(a1)),f25(f25(a29,a49),a50)) % 0.67/0.88 [313]~P9(f31(a48,f2(a1),f25(f25(a29,a49),a50),a45),f25(f25(a9,f7(f2(a1))),f15(a51,f2(a1))),a50) % 0.67/0.88 [201]P11(x2011,x2011,a1) % 0.67/0.88 [306]~P7(x3061,x3061,a1) % 0.67/0.88 [193]P6(f7(x1931)) % 0.67/0.88 [195]E(f13(x1951,a23),f2(a1)) % 0.67/0.88 [204]E(f4(x2041,x2041,a1),f2(a1)) % 0.67/0.88 [205]P11(f2(a1),x2051,a1) % 0.67/0.88 [214]P7(x2141,f27(x2141),a1) % 0.67/0.88 [220]P7(f2(a1),f27(x2201),a1) % 0.67/0.88 [291]~E(f27(x2911),x2911) % 0.67/0.88 [295]~E(f27(x2951),f2(a1)) % 0.67/0.88 [308]~P7(x3081,f2(a1),a1) % 0.67/0.88 [309]~P11(f27(x3091),x3091,a1) % 0.67/0.88 [194]E(f10(f7(x1941)),f2(a1)) % 0.67/0.88 [196]E(f13(f7(x1961),a24),f2(a1)) % 0.67/0.88 [199]E(f25(f25(f3(a1),x1991),f2(a1)),x1991) % 0.67/0.88 [206]E(f4(x2061,f2(a1),a1),x2061) % 0.67/0.88 [207]E(f26(x2071,f2(a1),a1),x2071) % 0.67/0.88 [208]E(f26(f2(a1),x2081,a1),x2081) % 0.67/0.88 [212]E(f4(f2(a1),x2121,a1),f2(a1)) % 0.67/0.88 [202]E(f25(f25(f3(a1),f2(a1)),x2021),x2021) % 0.67/0.88 [226]E(f25(f25(f3(a1),f10(x2261)),f27(f2(a1))),f10(f8(x2261))) % 0.67/0.88 [236]E(f25(f25(f3(a1),f13(x2361,a24)),f27(f2(a1))),f13(f8(x2361),a24)) % 0.67/0.88 [203]P12(x2031,x2031,x2032) % 0.67/0.88 [230]P9(x2301,f7(x2302),f25(x2301,x2302)) % 0.67/0.88 [245]P11(f4(x2451,x2452,a1),x2451,a1) % 0.67/0.88 [246]P7(f4(x2461,x2462,a1),f27(x2461),a1) % 0.67/0.88 [297]~E(f8(x2971),f7(x2972)) % 0.67/0.88 [298]~P10(f7(x2981),x2982) % 0.67/0.88 [210]E(f14(f2(a1),x2101,x2102),x2101) % 0.67/0.88 [211]E(f16(f2(a1),x2111,x2112),x2111) % 0.67/0.88 [216]E(f17(f7(x2161),x2162,x2161),x2162) % 0.67/0.88 [218]E(f18(f2(a1),x2181,x2182),f19(x2182)) % 0.67/0.88 [221]E(f16(x2211,f19(x2212),x2212),f19(x2212)) % 0.67/0.88 [235]E(f4(f27(x2351),f27(x2352),a1),f4(x2351,x2352,a1)) % 0.67/0.88 [247]E(f26(f27(x2471),f27(x2472),a1),f27(f26(x2471,x2472,a1))) % 0.67/0.88 [251]E(f17(x2511,f14(f2(a1),x2512,f2(a1)),f2(a1)),f17(x2511,x2512,f2(a1))) % 0.67/0.88 [231]E(f25(f25(f3(a1),x2311),x2312),f25(f25(f3(a1),x2312),x2311)) % 0.67/0.88 [232]E(f25(f25(f3(a1),f27(x2321)),x2322),f25(f25(f3(a1),x2321),f27(x2322))) % 0.67/0.88 [237]P11(x2371,f25(f25(f3(a1),x2372),x2371),a1) % 0.67/0.88 [239]P11(x2391,f25(f25(f3(a1),x2391),x2392),a1) % 0.67/0.88 [250]P10(f25(f25(a9,f8(x2501)),x2502),f17(x2501,x2502,f2(a1))) % 0.67/0.88 [262]E(f25(f25(f3(a1),f4(x2621,x2622,a1)),x2622),f26(x2621,x2622,a1)) % 0.67/0.88 [268]E(f25(f25(f3(a1),f25(f25(f3(a1),f10(x2681)),f10(x2682))),f27(f2(a1))),f10(f25(f25(a9,x2681),x2682))) % 0.67/0.88 [272]E(f25(f25(f3(a1),f25(f25(f3(a1),f13(x2721,a24)),f13(x2722,a24))),f27(f2(a1))),f13(f25(f25(a9,x2721),x2722),a24)) % 0.67/0.88 [311]~P7(f25(f25(f3(a1),x3111),x3112),x3112,a1) % 0.67/0.88 [312]~P7(f25(f25(f3(a1),x3121),x3122),x3121,a1) % 0.67/0.88 [240]E(f4(f25(f25(f3(a1),x2401),x2402),x2402,a1),x2401) % 0.67/0.88 [241]E(f4(f25(f25(f3(a1),x2411),x2412),x2411,a1),x2412) % 0.67/0.88 [242]E(f4(x2421,f25(f25(f3(a1),x2421),x2422),a1),f2(a1)) % 0.67/0.88 [243]E(f27(f25(f25(f3(a1),x2431),x2432)),f25(f25(f3(a1),x2431),f27(x2432))) % 0.67/0.88 [244]E(f27(f25(f25(f3(a1),x2441),x2442)),f25(f25(f3(a1),f27(x2441)),x2442)) % 0.67/0.88 [252]P7(x2521,f27(f25(f25(f3(a1),x2522),x2521)),a1) % 0.67/0.88 [254]P7(x2541,f27(f25(f25(f3(a1),x2541),x2542)),a1) % 0.67/0.88 [229]E(f17(f15(x2291,x2292),x2293,x2292),x2291) % 0.67/0.88 [234]E(f18(f2(a1),x2341,x2342),f18(f2(a1),x2343,x2342)) % 0.67/0.88 [248]E(f15(f14(x2481,x2482,x2483),x2483),f14(f27(x2481),x2482,x2483)) % 0.67/0.88 [263]E(f4(f4(x2631,x2632,a1),x2633,a1),f4(f4(x2631,x2633,a1),x2632,a1)) % 0.67/0.88 [265]E(f4(f4(f27(x2651),x2652,a1),f27(x2653),a1),f4(f4(x2651,x2652,a1),x2653,a1)) % 0.67/0.88 [299]~E(f7(x2991),f25(f25(a9,x2992),x2993)) % 0.67/0.88 [300]~E(f8(x3001),f25(f25(a9,x3002),x3003)) % 0.67/0.88 [301]~E(f30(x3011),f25(f25(a29,x3012),x3013)) % 0.67/0.88 [302]~E(f25(f25(a9,x3021),x3022),f7(x3023)) % 0.67/0.88 [303]~E(f25(f25(a9,x3031),x3032),f8(x3033)) % 0.67/0.88 [304]~E(f25(f25(a29,x3041),x3042),f30(x3043)) % 0.67/0.88 [249]E(f25(f25(a9,f15(x2491,x2492)),f15(x2493,x2492)),f15(f25(f25(a9,x2491),x2493),x2492)) % 0.67/0.88 [257]E(f25(f25(f3(a1),x2571),f25(f25(f3(a1),x2572),x2573)),f25(f25(f3(a1),x2572),f25(f25(f3(a1),x2571),x2573))) % 0.67/0.88 [258]E(f4(f25(f25(f3(a1),x2581),x2582),f25(f25(f3(a1),x2583),x2582),a1),f4(x2581,x2583,a1)) % 0.67/0.88 [259]E(f4(f25(f25(f3(a1),x2591),x2592),f25(f25(f3(a1),x2591),x2593),a1),f4(x2592,x2593,a1)) % 0.67/0.88 [260]E(f4(x2601,f25(f25(f3(a1),x2602),x2603),a1),f4(f4(x2601,x2602,a1),x2603,a1)) % 0.67/0.88 [267]E(f25(f25(f3(a1),f25(f25(f3(a1),x2671),x2672)),x2673),f25(f25(f3(a1),x2671),f25(f25(f3(a1),x2672),x2673))) % 0.67/0.88 [255]E(f42(x2551,x2552,f30(x2553),x2554),f25(x2551,x2553)) % 0.67/0.88 [256]E(f43(x2561,x2562,f30(x2563),x2564),f25(x2561,x2563)) % 0.67/0.88 [264]E(f16(x2641,f18(x2642,x2643,x2644),x2644),f18(f4(x2642,x2641,a1),x2643,x2644)) % 0.67/0.88 [271]E(f25(f31(x2711,x2712,x2713,x2714),x2712),x2713) % 0.67/0.88 [275]E(f20(x2751,x2752,f19(x2753),x2754,x2753),x2752) % 0.67/0.88 [276]E(f21(x2761,f19(x2762),x2763,x2762,x2764),x2763) % 0.67/0.88 [315]~E(f20(a9,f8(x3151),x3152,a24,a24),f20(a9,f7(x3153),x3154,a24,a24)) % 0.67/0.88 [269]E(f25(f25(a9,f14(x2691,x2692,x2693)),f14(x2691,x2694,x2693)),f14(x2691,f25(f25(a9,x2692),x2694),x2693)) % 0.67/0.88 [270]E(f25(f25(a9,f17(x2701,x2702,x2703)),f17(x2704,x2702,x2703)),f17(f25(f25(a9,x2701),x2704),x2702,x2703)) % 0.67/0.88 [314]~E(f25(f25(a9,f8(x3141)),x3142),f20(a9,f7(x3143),x3144,a24,a24)) % 0.67/0.88 [261]E(f16(x2611,f16(x2612,x2613,x2614),x2614),f16(f25(f25(f3(a1),x2611),x2612),x2613,x2614)) % 0.67/0.88 [280]E(f11(x2801,x2802,x2803,f7(x2804),x2805),f25(x2801,x2804)) % 0.67/0.88 [281]E(f11(x2811,x2812,x2813,f8(x2814),x2815),f25(x2813,x2814)) % 0.67/0.88 [282]E(f12(x2821,x2822,x2823,f7(x2824),x2825),f25(x2821,x2824)) % 0.67/0.88 [286]E(f31(f31(x2861,f2(a1),x2862,x2863),f27(x2864),x2865,x2863),f31(f31(x2861,x2864,x2865,x2863),f2(a1),x2862,x2863)) % 0.67/0.88 [288]E(f25(f25(x2881,x2882),f12(x2883,x2884,x2881,x2882,x2885)),f12(x2883,x2884,x2881,f8(x2882),x2885)) % 0.67/0.88 [266]E(f43(x2661,x2662,f25(f25(a29,x2663),x2664),x2665),f25(f25(x2662,x2663),x2664)) % 0.67/0.88 [287]E(f25(f25(f25(f25(x2871,x2872),x2873),f42(x2874,x2871,x2872,x2875)),f42(x2874,x2871,x2873,x2875)),f42(x2874,x2871,f25(f25(a29,x2872),x2873),x2875)) % 0.67/0.88 [285]E(f11(x2851,x2852,x2853,f25(f25(a9,x2854),x2855),x2856),f25(f25(x2852,x2854),x2855)) % 0.67/0.88 [289]E(f25(f25(f25(f25(x2891,x2892),x2893),f12(x2894,x2891,x2895,x2892,x2896)),f12(x2894,x2891,x2895,x2893,x2896)),f12(x2894,x2891,x2895,f25(f25(a9,x2892),x2893),x2896)) % 0.67/0.88 [321]~P6(x3211)+P6(f8(x3211)) % 0.67/0.88 [329]E(x3291,f2(a1))+P7(f2(a1),x3291,a1) % 0.67/0.88 [358]E(x3581,f2(a1))+~P11(x3581,f2(a1),a1) % 0.67/0.88 [322]~P40(x3221)+E(f22(f2(a1),x3221),f2(x3221)) % 0.67/0.88 [351]~P21(x3511)+E(f25(f25(f3(x3511),f2(x3511)),f2(x3511)),f2(x3511)) % 0.67/0.88 [381]E(x3811,f2(a1))+~P7(x3811,f27(f2(a1)),a1) % 0.67/0.88 [509]~P7(f2(a1),x5091,a1)+E(f27(f4(x5091,f27(f2(a1)),a1)),x5091) % 0.67/0.88 [330]~P1(x3302)+P11(x3301,x3301,x3302) % 0.67/0.88 [331]~P28(x3312)+P11(x3311,x3311,x3312) % 0.67/0.88 [359]~P7(x3592,x3592,x3591)+~P1(x3591) % 0.67/0.88 [360]~P7(x3602,x3602,x3601)+~P28(x3601) % 0.67/0.88 [361]~P7(x3612,x3612,x3611)+~P25(x3611) % 0.67/0.88 [380]P11(x3802,x3801,a1)+P11(x3801,x3802,a1) % 0.67/0.88 [418]~P7(x4181,x4182,a1)+P11(x4181,x4182,a1) % 0.67/0.88 [317]E(x3171,x3172)+~E(f27(x3171),f27(x3172)) % 0.67/0.88 [318]E(x3181,x3182)+~E(f7(x3181),f7(x3182)) % 0.67/0.88 [319]E(x3191,x3192)+~E(f8(x3191),f8(x3192)) % 0.67/0.88 [320]E(x3201,x3202)+~E(f30(x3201),f30(x3202)) % 0.67/0.88 [323]~P1(x3232)+P1(f46(x3231,x3232)) % 0.67/0.88 [324]~P28(x3242)+P28(f46(x3241,x3242)) % 0.67/0.88 [325]~P26(x3252)+P26(f46(x3251,x3252)) % 0.67/0.88 [326]~P6(x3261)+P6(f15(x3261,x3262)) % 0.67/0.88 [327]~P10(x3271,x3272)+P10(f8(x3271),f8(x3272)) % 0.67/0.88 [332]~P25(x3322)+E(f26(x3321,x3321,x3322),x3321) % 0.67/0.88 [334]~P20(x3342)+E(f4(x3341,x3341,x3342),f2(x3342)) % 0.67/0.88 [335]~P16(x3352)+E(f4(x3351,x3351,x3352),f2(x3352)) % 0.67/0.88 [339]~P26(x3391)+P11(f6(x3391),x3392,x3391) % 0.67/0.88 [363]~P29(x3631)+P11(f2(x3631),f22(x3632,x3631),x3631) % 0.67/0.88 [390]P7(x3901,x3902,a1)+P7(x3902,f27(x3901),a1) % 0.67/0.88 [392]P11(x3921,x3922,a1)+P11(f27(x3922),x3921,a1) % 0.67/0.88 [419]~P11(x4191,x4192,a1)+E(f4(x4191,x4192,a1),f2(a1)) % 0.67/0.88 [423]P11(x4231,x4232,a1)+~E(f4(x4231,x4232,a1),f2(a1)) % 0.67/0.88 [424]~P7(x4241,x4242,a1)+P7(x4241,f27(x4242),a1) % 0.67/0.88 [425]~P11(x4251,x4252,a1)+P7(x4251,f27(x4252),a1) % 0.67/0.88 [427]~P11(x4271,x4272,a1)+P11(x4271,f27(x4272),a1) % 0.67/0.88 [429]~P7(x4291,x4292,a1)+P11(f27(x4291),x4292,a1) % 0.67/0.88 [430]~P29(x4301)+~P7(f22(x4302,x4301),f2(x4301),x4301) % 0.67/0.88 [431]P11(x4311,x4312,a1)+~P7(x4311,f27(x4312),a1) % 0.67/0.88 [432]P7(x4321,x4322,a1)+~P7(f27(x4321),x4322,a1) % 0.67/0.88 [434]P7(x4341,x4342,a1)+~P11(f27(x4341),x4342,a1) % 0.67/0.88 [435]P11(x4351,x4352,a1)+~P11(f27(x4351),x4352,a1) % 0.67/0.88 [450]~P7(x4501,x4502,a1)+P7(f27(x4501),f27(x4502),a1) % 0.67/0.88 [451]~P11(x4511,x4512,a1)+P11(f27(x4511),f27(x4512),a1) % 0.67/0.88 [464]P7(x4641,x4642,a1)+~P7(f27(x4641),f27(x4642),a1) % 0.67/0.88 [465]P11(x4651,x4652,a1)+~P11(f27(x4651),f27(x4652),a1) % 0.67/0.88 [476]~P7(x4761,x4762,a1)+~P7(x4762,f27(x4761),a1) % 0.67/0.88 [477]~P11(x4771,x4772,a1)+~P11(f27(x4772),x4771,a1) % 0.67/0.88 [537]~P7(x5372,x5371,a1)+P7(f2(a1),f4(x5371,x5372,a1),a1) % 0.67/0.88 [566]P7(x5661,x5662,a1)+~P7(f2(a1),f4(x5662,x5661,a1),a1) % 0.67/0.88 [336]~P4(x3361)+E(f25(f25(f3(x3361),x3362),f2(x3361)),x3362) % 0.67/0.88 [337]~P31(x3371)+E(f25(f25(f3(x3371),x3372),f2(x3371)),x3372) % 0.67/0.88 [338]~P19(x3381)+E(f25(f25(f3(x3381),x3382),f2(x3381)),x3382) % 0.67/0.88 [340]~P20(x3402)+E(f4(x3401,f2(x3402),x3402),x3401) % 0.67/0.88 [364]~P6(x3641)+P6(f25(f25(a9,x3641),f7(x3642))) % 0.67/0.88 [372]P41(f25(x3721,x3722))+~P41(f25(x3721,f32(x3721))) % 0.67/0.88 [382]~P7(x3821,x3822,a1)+E(f15(f7(x3821),x3822),f7(x3821)) % 0.67/0.88 [505]P7(x5052,x5051,a1)+E(f25(f25(f3(a1),x5051),f4(x5052,x5051,a1)),x5052) % 0.67/0.88 [531]~P11(x5311,x5312,a1)+E(f25(f25(f3(a1),x5311),f4(x5312,x5311,a1)),x5312) % 0.67/0.88 [536]~P11(x5362,x5361,a1)+E(f4(x5361,f4(x5361,x5362,a1),a1),x5362) % 0.67/0.88 [539]~P11(x5392,x5391,a1)+E(f27(f4(x5391,x5392,a1)),f4(f27(x5391),x5392,a1)) % 0.67/0.88 [548]~P7(f2(a1),x5481,a1)+P7(f4(x5481,f27(x5482),a1),x5481,a1) % 0.67/0.88 [706]~P19(x7061)+E(f21(f3(x7061),x7062,f2(x7061),x7061,x7061),f20(f3(x7061),f2(x7061),x7062,x7061,x7061)) % 0.67/0.88 [341]~P4(x3411)+E(f25(f25(f3(x3411),f2(x3411)),x3412),x3412) % 0.67/0.88 [343]~P31(x3431)+E(f25(f25(f3(x3431),f2(x3431)),x3432),x3432) % 0.67/0.88 [344]~P19(x3441)+E(f25(f25(f3(x3441),f2(x3441)),x3442),x3442) % 0.67/0.88 [348]E(x3481,f2(a1))+~E(f25(f25(f3(a1),x3482),x3481),x3482) % 0.67/0.88 [349]E(x3491,f2(a1))+~E(f25(f25(f3(a1),x3492),x3491),f2(a1)) % 0.67/0.88 [350]E(x3501,f2(a1))+~E(f25(f25(f3(a1),x3501),x3502),f2(a1)) % 0.67/0.88 [598]~P11(x5982,x5981,a1)+E(f25(f25(f3(a1),f4(x5981,x5982,a1)),x5982),x5981) % 0.67/0.88 [354]E(x3541,x3542)+~P12(x3541,x3542,x3543) % 0.67/0.88 [355]~P10(x3551,x3553)+P10(f15(x3551,x3552),f15(x3553,x3552)) % 0.67/0.88 [366]~E(f18(x3661,x3662,x3663),f19(x3663))+E(x3661,f2(a1)) % 0.67/0.88 [386]~P9(x3861,f7(x3862),x3863)+E(f25(x3861,x3862),x3863) % 0.67/0.88 [394]~P25(x3943)+E(f26(x3941,x3942,x3943),f26(x3942,x3941,x3943)) % 0.67/0.88 [468]~P25(x4683)+P11(x4681,f26(x4682,x4681,x4683),x4683) % 0.67/0.88 [469]~P25(x4693)+P11(x4691,f26(x4691,x4692,x4693),x4693) % 0.67/0.88 [534]~P7(x5341,x5343,a1)+P7(f4(x5341,x5342,a1),x5343,a1) % 0.67/0.88 [604]~P11(x6041,x6043,a1)+P11(f4(x6041,x6042,a1),f4(x6043,x6042,a1),a1) % 0.67/0.88 [605]~P11(x6053,x6052,a1)+P11(f4(x6051,x6052,a1),f4(x6051,x6053,a1),a1) % 0.67/0.88 [695]~E(f7(x6952),f20(a9,x6953,x6951,a24,a24))+E(x6951,f19(a24)) % 0.67/0.88 [696]~E(f8(x6962),f20(a9,x6963,x6961,a24,a24))+E(x6961,f19(a24)) % 0.67/0.88 [697]~E(f20(a9,x6972,x6971,a24,a24),f8(x6973))+E(x6971,f19(a24)) % 0.67/0.88 [698]E(x6981,f8(x6982))+~E(f20(a9,x6981,x6983,a24,a24),f8(x6982)) % 0.67/0.88 [699]E(f7(x6991),x6992)+~E(f7(x6991),f20(a9,x6992,x6993,a24,a24)) % 0.67/0.88 [700]E(f8(x7001),x7002)+~E(f8(x7001),f20(a9,x7002,x7003,a24,a24)) % 0.67/0.88 [709]E(x7091,x7092)+~E(f20(a9,x7091,x7093,a24,a24),f20(a9,x7092,x7093,a24,a24)) % 0.67/0.88 [718]~P10(x7181,x7183)+P10(f20(a9,x7181,x7182,a24,a24),f20(a9,x7183,x7182,a24,a24)) % 0.67/0.88 [414]~P6(x4141)+P6(f17(x4141,f7(x4142),x4143)) % 0.67/0.88 [441]~P7(x4412,x4413,a1)+E(f14(x4411,f7(x4412),x4413),f7(x4412)) % 0.67/0.88 [442]~P7(x4421,x4423,a1)+E(f17(f7(x4421),x4422,x4423),f7(x4421)) % 0.67/0.88 [488]~P10(x4881,x4883)+P10(f25(f25(a9,x4881),x4882),f25(f25(a9,x4883),x4882)) % 0.67/0.88 [489]~P10(x4892,x4893)+P10(f25(f25(a9,x4891),x4892),f25(f25(a9,x4891),x4893)) % 0.67/0.88 [510]~P25(x5103)+E(f26(x5101,f26(x5101,x5102,x5103),x5103),f26(x5101,x5102,x5103)) % 0.67/0.88 [657]~P9(x6572,f8(x6573),x6571)+E(f25(f25(a29,f37(x6571,x6572,x6573)),f39(x6571,x6572,x6573)),x6571) % 0.67/0.88 [684]~P9(x6841,f8(x6842),x6843)+P9(f31(x6841,f2(a1),f33(x6841,x6842),a45),x6842,f34(x6841,x6842)) % 0.67/0.88 [687]~P9(x6871,f8(x6873),x6872)+P9(f31(x6871,f2(a1),f37(x6872,x6871,x6873),a45),x6873,f39(x6872,x6871,x6873)) % 0.67/0.88 [701]E(f25(f25(a9,x7011),x7012),x7013)+~E(f25(f25(a9,x7011),x7012),f20(a9,x7013,f19(a24),a24,a24)) % 0.67/0.88 [705]~P15(x7051)+E(f21(f3(x7051),x7052,x7053,x7051,x7051),f20(f3(x7051),x7053,x7052,x7051,x7051)) % 0.67/0.88 [387]~P4(x3871)+E(f25(f25(f3(x3871),x3872),x3873),f25(f25(f3(x3871),x3873),x3872)) % 0.67/0.88 [389]~P31(x3891)+E(f25(f25(f3(x3891),x3892),x3893),f25(f25(f3(x3891),x3893),x3892)) % 0.67/0.88 [437]E(x4371,x4372)+~E(f25(f25(f3(a1),x4373),x4371),f25(f25(f3(a1),x4373),x4372)) % 0.67/0.88 [438]E(x4381,x4382)+~E(f25(f25(f3(a1),x4381),x4383),f25(f25(f3(a1),x4382),x4383)) % 0.67/0.88 [512]~P7(x5121,x5123,a1)+P7(x5121,f25(f25(f3(a1),x5122),x5123),a1) % 0.67/0.88 [514]~P7(x5141,x5142,a1)+P7(x5141,f25(f25(f3(a1),x5142),x5143),a1) % 0.67/0.88 [516]~P11(x5161,x5163,a1)+P11(x5161,f25(f25(f3(a1),x5162),x5163),a1) % 0.67/0.88 [518]~P11(x5181,x5182,a1)+P11(x5181,f25(f25(f3(a1),x5182),x5183),a1) % 0.67/0.88 [558]~P20(x5581)+E(f25(f25(f3(x5581),f4(x5582,x5583,x5581)),x5583),x5582) % 0.67/0.88 [559]P7(x5591,x5592,a1)+~P7(f25(f25(f3(a1),x5591),x5593),x5592,a1) % 0.67/0.88 [560]P11(x5601,x5602,a1)+~P11(f25(f25(f3(a1),x5603),x5601),x5602,a1) % 0.67/0.88 [561]P11(x5611,x5612,a1)+~P11(f25(f25(f3(a1),x5611),x5613),x5612,a1) % 0.67/0.88 [578]~P7(x5781,x5783,a1)+P7(f25(f25(f3(a1),x5781),x5782),f25(f25(f3(a1),x5783),x5782),a1) % 0.67/0.88 [579]~P7(x5792,x5793,a1)+P7(f25(f25(f3(a1),x5791),x5792),f25(f25(f3(a1),x5791),x5793),a1) % 0.67/0.88 [580]~P11(x5801,x5803,a1)+P11(f25(f25(f3(a1),x5801),x5802),f25(f25(f3(a1),x5803),x5802),a1) % 0.67/0.88 [581]~P11(x5812,x5813,a1)+P11(f25(f25(f3(a1),x5811),x5812),f25(f25(f3(a1),x5811),x5813),a1) % 0.67/0.88 [632]P7(x6321,f4(x6322,x6323,a1),a1)+~P7(f25(f25(f3(a1),x6321),x6323),x6322,a1) % 0.67/0.88 [633]P11(f4(x6331,x6332,a1),x6333,a1)+~P11(x6331,f25(f25(f3(a1),x6333),x6332),a1) % 0.67/0.88 [636]~P11(f4(x6361,x6363,a1),x6362,a1)+P11(x6361,f25(f25(f3(a1),x6362),x6363),a1) % 0.67/0.88 [637]~P7(x6371,f4(x6373,x6372,a1),a1)+P7(f25(f25(f3(a1),x6371),x6372),x6373,a1) % 0.67/0.88 [647]P7(x6471,x6472,a1)+~P7(f25(f25(f3(a1),x6473),x6471),f25(f25(f3(a1),x6473),x6472),a1) % 0.67/0.88 [648]P11(x6481,x6482,a1)+~P11(f25(f25(f3(a1),x6483),x6481),f25(f25(f3(a1),x6483),x6482),a1) % 0.67/0.88 [671]~P11(x6712,x6713,a1)+E(f4(f25(f25(f3(a1),x6711),x6712),f27(x6713),a1),f4(x6711,f27(f4(x6713,x6712,a1)),a1)) % 0.67/0.88 [707]~P19(x7071)+E(f25(f25(f3(x7071),x7072),f21(f3(x7071),x7073,f2(x7071),x7071,x7071)),f20(f3(x7071),x7072,x7073,x7071,x7071)) % 0.67/0.88 [708]~P19(x7081)+E(f25(f25(f3(x7081),x7082),f20(f3(x7081),f2(x7081),x7083,x7081,x7081)),f20(f3(x7081),x7082,x7083,x7081,x7081)) % 0.67/0.88 [467]~P20(x4671)+E(f4(f25(f25(f3(x4671),x4672),x4673),x4673,x4671),x4672) % 0.67/0.88 [506]P7(x5062,x5063,a1)+E(f14(x5061,f7(x5062),x5063),f7(f25(f25(f3(a1),x5062),x5061))) % 0.67/0.88 [535]~P40(x5351)+E(f25(f25(f3(x5351),f22(x5352,x5351)),f22(x5353,x5351)),f22(f25(f25(f3(a1),x5352),x5353),x5351)) % 0.67/0.88 [631]~P11(x6313,x6312,a1)+E(f4(f25(f25(f3(a1),x6311),x6312),x6313,a1),f25(f25(f3(a1),x6311),f4(x6312,x6313,a1))) % 0.67/0.88 [634]~P11(x6342,x6343,a1)+E(f4(f25(f25(f3(a1),x6341),x6342),x6343,a1),f4(x6341,f4(x6343,x6342,a1),a1)) % 0.67/0.88 [649]~P11(x6493,x6492,a1)+P11(x6491,f4(f25(f25(f3(a1),x6492),x6491),x6493,a1),a1) % 0.67/0.88 [667]~P11(x6673,x6671,a1)+E(f4(f25(f25(f3(a1),x6671),x6672),x6673,a1),f25(f25(f3(a1),f4(x6671,x6673,a1)),x6672)) % 0.67/0.88 [672]~P11(x6722,x6721,a1)+E(f4(f27(x6721),f25(f25(f3(a1),x6722),x6723),a1),f4(f27(f4(x6721,x6722,a1)),x6723,a1)) % 0.67/0.88 [689]P41(f25(x6891,x6892))+~P41(f25(x6891,f4(f25(f25(f3(a1),x6893),x6892),x6893,a1))) % 0.67/0.88 [538]~P10(x5381,x5384)+P10(f17(x5381,x5382,x5383),f17(x5384,x5382,x5383)) % 0.67/0.88 [715]P13(x7151,x7152,f35(x7153,x7151,x7154,x7152))+~P9(x7151,f20(a9,x7154,x7152,a24,a24),x7153) % 0.67/0.88 [716]P13(x7161,x7162,f36(x7163,x7161,x7164,x7162))+~P9(x7161,f20(a9,x7164,x7162,a24,a24),x7163) % 0.67/0.88 [400]E(x4001,x4002)+~E(f25(f25(a9,x4003),x4001),f25(f25(a9,x4004),x4002)) % 0.67/0.88 [401]E(x4011,x4012)+~E(f25(f25(a29,x4013),x4011),f25(f25(a29,x4014),x4012)) % 0.67/0.88 [402]E(x4021,x4022)+~E(f25(f25(a9,x4021),x4023),f25(f25(a9,x4022),x4024)) % 0.67/0.88 [403]E(x4031,x4032)+~E(f25(f25(a29,x4031),x4033),f25(f25(a29,x4032),x4034)) % 0.67/0.88 [593]~P25(x5934)+E(f26(x5931,f26(x5932,x5933,x5934),x5934),f26(x5932,f26(x5931,x5933,x5934),x5934)) % 0.67/0.88 [594]~P25(x5943)+E(f26(f26(x5941,x5942,x5943),x5944,x5943),f26(x5941,f26(x5942,x5944,x5943),x5943)) % 0.67/0.88 [652]~P22(x6523)+E(f26(f4(x6521,x6522,x6523),f4(x6524,x6522,x6523),x6523),f4(f26(x6521,x6524,x6523),x6522,x6523)) % 0.67/0.88 [686]P9(x6861,x6862,f38(x6863,x6861,x6864,x6862))+~P9(x6861,f25(f25(a9,x6864),x6862),x6863) % 0.67/0.88 [690]P9(x6901,f8(x6902),f25(f25(a29,x6903),x6904))+~P9(f31(x6901,f2(a1),x6903,a45),x6902,x6904) % 0.67/0.88 [711]E(x7111,x7112)+~E(f20(a9,f7(x7113),x7111,a24,a24),f20(a9,f7(x7114),x7112,a24,a24)) % 0.67/0.88 [712]E(x7121,x7122)+~E(f20(a9,f8(x7123),x7121,a24,a24),f20(a9,f8(x7124),x7122,a24,a24)) % 0.67/0.88 [713]E(x7131,x7132)+~E(f20(a9,f7(x7131),x7133,a24,a24),f20(a9,f7(x7132),x7134,a24,a24)) % 0.67/0.88 [714]E(x7141,x7142)+~E(f20(a9,f8(x7141),x7143,a24,a24),f20(a9,f8(x7142),x7144,a24,a24)) % 0.67/0.88 [717]P13(x7171,x7172,f40(x7173,x7171,x7174,x7172))+~P9(x7171,f20(a9,f7(x7174),x7172,a24,a24),x7173) % 0.67/0.88 [721]~P9(x7211,f20(a9,x7212,x7214,a24,a24),x7213)+P9(x7211,x7212,f21(a29,f35(x7213,x7211,x7212,x7214),x7213,a45,a45)) % 0.67/0.88 [722]~P9(x7221,f20(a9,x7222,x7224,a24,a24),x7223)+P9(x7221,x7222,f21(a29,f36(x7223,x7221,x7222,x7224),x7223,a45,a45)) % 0.67/0.88 [723]~P9(x7231,f20(a9,f7(x7232),x7234,a24,a24),x7233)+P9(x7231,f7(x7232),f21(a29,f40(x7233,x7231,x7232,x7234),x7233,a45,a45)) % 0.67/0.88 [694]P41(f25(x6941,f25(x6942,x6943)))+~P41(f25(x6941,f43(x6942,x6944,f30(x6943),a44))) % 0.67/0.88 [704]~P9(x7041,f25(f25(a9,x7042),x7044),x7043)+P9(x7041,x7042,f25(f25(a29,f38(x7043,x7041,x7042,x7044)),x7043)) % 0.67/0.88 [569]~P4(x5691)+E(f25(f25(f3(x5691),x5692),f25(f25(f3(x5691),x5693),x5694)),f25(f25(f3(x5691),x5693),f25(f25(f3(x5691),x5692),x5694))) % 0.67/0.88 [570]~P31(x5701)+E(f25(f25(f3(x5701),x5702),f25(f25(f3(x5701),x5703),x5704)),f25(f25(f3(x5701),x5703),f25(f25(f3(x5701),x5702),x5704))) % 0.67/0.88 [571]~P16(x5711)+E(f25(f25(f3(x5711),x5712),f25(f25(f3(x5711),x5713),x5714)),f25(f25(f3(x5711),x5713),f25(f25(f3(x5711),x5712),x5714))) % 0.67/0.88 [676]~P23(x6761)+E(f26(f25(f25(f3(x6761),x6762),x6763),f25(f25(f3(x6761),x6764),x6763),x6761),f25(f25(f3(x6761),f26(x6762,x6764,x6761)),x6763)) % 0.67/0.88 [710]~P27(x7101)+E(f20(f3(x7101),f25(f25(f3(x7101),x7102),x7103),x7104,x7101,x7101),f25(f25(f3(x7101),x7102),f20(f3(x7101),x7103,x7104,x7101,x7101))) % 0.67/0.88 [644]~P4(x6441)+E(f25(f25(f3(x6441),f25(f25(f3(x6441),x6442),x6443)),x6444),f25(f25(f3(x6441),x6442),f25(f25(f3(x6441),x6443),x6444))) % 0.67/0.88 [645]~P31(x6451)+E(f25(f25(f3(x6451),f25(f25(f3(x6451),x6452),x6453)),x6454),f25(f25(f3(x6451),x6452),f25(f25(f3(x6451),x6453),x6454))) % 0.67/0.88 [646]~P15(x6461)+E(f25(f25(f3(x6461),f25(f25(f3(x6461),x6462),x6463)),x6464),f25(f25(f3(x6461),x6462),f25(f25(f3(x6461),x6463),x6464))) % 0.67/0.88 [675]~P31(x6751)+E(f25(f25(f3(x6751),f25(f25(f3(x6751),x6752),x6753)),x6754),f25(f25(f3(x6751),f25(f25(f3(x6751),x6752),x6754)),x6753)) % 0.67/0.88 [471]E(x4711,x4712)+~E(f18(x4711,x4713,x4714),f18(x4712,x4715,x4714)) % 0.67/0.88 [683]~P9(x6831,x6834,x6835)+P9(f31(x6831,x6832,x6833,a45),f15(x6834,x6832),x6835) % 0.67/0.88 [679]~P7(x6795,x6792,a1)+E(f25(f31(x6791,x6792,x6793,x6794),x6795),f25(x6791,x6795)) % 0.67/0.88 [725]P41(f25(x7251,f25(x7252,x7253)))+~P41(f25(x7251,f11(x7254,x7255,x7252,f8(x7253),a44))) % 0.67/0.88 [727]P41(f25(x7271,f25(x7272,x7273)))+~P41(f25(x7271,f11(x7272,x7274,x7275,f7(x7273),a44))) % 0.67/0.88 [685]~P31(x6851)+E(f25(f25(f3(x6851),f25(f25(f3(x6851),x6852),x6853)),f25(f25(f3(x6851),x6854),x6855)),f25(f25(f3(x6851),f25(f25(f3(x6851),x6852),x6854)),f25(f25(f3(x6851),x6853),x6855))) % 0.67/0.88 [703]P41(f25(x7031,f25(f25(x7032,x7033),x7034)))+~P41(f25(x7031,f43(x7035,x7032,f25(f25(a29,x7033),x7034),a44))) % 0.67/0.88 [730]P41(f25(x7301,f25(f25(x7302,x7303),x7304)))+~P41(f25(x7301,f11(x7305,x7302,x7306,f25(f25(a9,x7303),x7304),a44))) % 0.67/0.88 [732]~P8(x7324,x7321,x7325,x7326,x7322,x7327)+E(f25(f25(x7321,x7322),x7323),x7323) % 0.67/0.88 [733]~P8(x7334,x7331,x7335,x7333,x7336,x7337)+E(f25(f25(x7331,x7332),x7333),x7333) % 0.67/0.88 [735]~P8(x7351,x7354,x7355,x7352,x7356,x7357)+E(f25(f25(x7351,x7352),x7353),x7353) % 0.67/0.88 [736]~P8(x7364,x7361,x7365,x7366,x7363,x7367)+E(f25(f25(x7361,x7362),x7363),x7362) % 0.67/0.88 [738]~P8(x7384,x7381,x7385,x7382,x7386,x7387)+E(f25(f25(x7381,x7382),x7383),x7382) % 0.67/0.88 [739]~P8(x7391,x7394,x7395,x7393,x7396,x7397)+E(f25(f25(x7391,x7392),x7393),x7392) % 0.67/0.88 [740]~P8(x7404,x7405,x7401,x7406,x7403,x7407)+E(f25(f25(x7401,x7402),f2(a1)),x7403) % 0.67/0.88 [748]~P8(x7481,x7483,x7485,x7486,x7484,x7487)+E(f25(f25(x7481,x7482),x7482),f25(f25(x7483,f25(f25(x7481,x7484),x7484)),x7482)) % 0.67/0.88 [742]~P8(x7424,x7421,x7425,x7426,x7427,x7428)+E(f25(f25(x7421,x7422),x7423),f25(f25(x7421,x7423),x7422)) % 0.67/0.88 [744]~P8(x7441,x7444,x7445,x7446,x7447,x7448)+E(f25(f25(x7441,x7442),x7443),f25(f25(x7441,x7443),x7442)) % 0.67/0.88 [747]~P8(x7475,x7471,x7473,x7476,x7477,x7478)+E(f25(f25(x7471,x7472),f25(f25(x7473,x7472),x7474)),f25(f25(x7473,x7472),f27(x7474))) % 0.67/0.88 [751]~P8(x7515,x7511,x7512,x7516,x7517,x7518)+E(f25(f25(x7511,f25(f25(x7512,x7513),x7514)),x7513),f25(f25(x7512,x7513),f27(x7514))) % 0.67/0.88 [752]~P8(x7521,x7523,x7526,x7527,x7525,x7528)+E(f25(f25(x7521,x7522),f25(f25(x7523,x7524),x7522)),f25(f25(x7523,f25(f25(x7521,x7524),x7525)),x7522)) % 0.67/0.88 [759]~P8(x7591,x7592,x7596,x7597,x7595,x7598)+E(f25(f25(x7591,f25(f25(x7592,x7593),x7594)),x7594),f25(f25(x7592,f25(f25(x7591,x7593),x7595)),x7594)) % 0.67/0.88 [749]~P8(x7495,x7491,x7496,x7497,x7498,x7499)+E(f25(f25(x7491,x7492),f25(f25(x7491,x7493),x7494)),f25(f25(x7491,x7493),f25(f25(x7491,x7492),x7494))) % 0.67/0.88 [750]~P8(x7501,x7505,x7506,x7507,x7508,x7509)+E(f25(f25(x7501,x7502),f25(f25(x7501,x7503),x7504)),f25(f25(x7501,x7503),f25(f25(x7501,x7502),x7504))) % 0.67/0.88 [762]~P8(x7621,x7622,x7626,x7627,x7628,x7629)+E(f25(f25(x7621,f25(f25(x7622,x7623),x7624)),f25(f25(x7622,x7623),x7625)),f25(f25(x7622,x7623),f25(f25(x7621,x7624),x7625))) % 0.67/0.88 [757]~P8(x7575,x7571,x7576,x7577,x7578,x7579)+E(f25(f25(x7571,f25(f25(x7571,x7572),x7573)),x7574),f25(f25(x7571,x7572),f25(f25(x7571,x7573),x7574))) % 0.67/0.88 [758]~P8(x7581,x7585,x7586,x7587,x7588,x7589)+E(f25(f25(x7581,f25(f25(x7581,x7582),x7583)),x7584),f25(f25(x7581,x7582),f25(f25(x7581,x7583),x7584))) % 0.67/0.88 [760]~P8(x7605,x7601,x7606,x7607,x7608,x7609)+E(f25(f25(x7601,f25(f25(x7601,x7602),x7603)),x7604),f25(f25(x7601,f25(f25(x7601,x7602),x7604)),x7603)) % 0.67/0.88 [761]~P8(x7611,x7615,x7616,x7617,x7618,x7619)+E(f25(f25(x7611,f25(f25(x7611,x7612),x7613)),x7614),f25(f25(x7611,f25(f25(x7611,x7612),x7614)),x7613)) % 0.67/0.88 [763]~P8(x7636,x7631,x7632,x7637,x7638,x7639)+E(f25(f25(x7631,f25(f25(x7632,x7633),x7634)),f25(f25(x7632,x7633),x7635)),f25(f25(x7632,x7633),f25(f25(f3(a1),x7634),x7635))) % 0.67/0.88 [764]~P8(x7646,x7641,x7642,x7647,x7648,x7649)+E(f25(f25(x7641,f25(f25(x7642,x7643),x7644)),f25(f25(x7642,x7645),x7644)),f25(f25(x7642,f25(f25(x7641,x7643),x7645)),x7644)) % 0.67/0.88 [766]~P8(x7661,x7662,x7666,x7667,x7668,x7669)+E(f25(f25(x7661,f25(f25(x7662,x7663),x7664)),f25(f25(x7662,x7665),x7664)),f25(f25(x7662,f25(f25(x7661,x7663),x7665)),x7664)) % 0.67/0.88 [768]~P8(x7686,x7681,x7687,x7688,x7689,x76810)+E(f25(f25(x7681,f25(f25(x7681,x7682),x7683)),f25(f25(x7681,x7684),x7685)),f25(f25(x7681,f25(f25(x7681,x7682),x7684)),f25(f25(x7681,x7683),x7685))) % 0.67/0.88 [769]~P8(x7691,x7696,x7697,x7698,x7699,x76910)+E(f25(f25(x7691,f25(f25(x7691,x7692),x7693)),f25(f25(x7691,x7694),x7695)),f25(f25(x7691,f25(f25(x7691,x7692),x7694)),f25(f25(x7691,x7693),x7695))) % 0.67/0.88 [497]~P2(x4971)+~P11(f2(x4971),f2(x4971),x4971)+E(f25(f25(f3(x4971),f2(x4971)),f2(x4971)),f2(x4971)) % 0.67/0.88 [385]E(x3851,x3852)+P7(x3852,x3851,a1)+P7(x3851,x3852,a1) % 0.67/0.88 [422]E(x4221,x4222)+P7(x4221,x4222,a1)+~P11(x4221,x4222,a1) % 0.67/0.88 [470]E(x4701,x4702)+~P11(x4702,x4701,a1)+~P11(x4701,x4702,a1) % 0.67/0.88 [345]~P34(x3452)+~P14(x3452)+E(f4(x3451,x3451,x3452),f2(x3452)) % 0.67/0.88 [443]~P7(x4431,x4432,a1)+E(f27(x4431),x4432)+P7(f27(x4431),x4432,a1) % 0.67/0.88 [444]E(x4441,x4442)+P7(x4442,x4441,a1)+~P7(x4442,f27(x4441),a1) % 0.67/0.88 [446]E(x4461,x4462)+P7(x4461,x4462,a1)+~P7(x4461,f27(x4462),a1) % 0.67/0.88 [462]P11(x4621,x4622,a1)+E(x4621,f27(x4622))+~P11(x4621,f27(x4622),a1) % 0.67/0.88 [475]E(x4751,x4752)+~E(f4(x4752,x4751,a1),f2(a1))+~E(f4(x4751,x4752,a1),f2(a1)) % 0.67/0.88 [479]E(x4791,x4792)+~P11(x4792,x4791,a1)+~P7(x4791,f27(x4792),a1) % 0.67/0.88 [496]~P29(x4961)+P7(f2(x4961),f22(x4962,x4961),x4961)+~P7(f2(a1),x4962,a1) % 0.67/0.88 [503]~P29(x5032)+~P7(f2(x5032),f22(x5031,x5032),x5032)+P7(f2(a1),x5031,a1) % 0.67/0.88 [595]P7(f4(x5951,x5952,a1),x5951,a1)+~P7(f2(a1),x5952,a1)+~P7(f2(a1),x5951,a1) % 0.67/0.88 [346]~P34(x3461)+~P14(x3461)+E(f25(f25(f3(x3461),x3462),f2(x3461)),x3462) % 0.67/0.88 [353]~P36(x3531)+~P30(x3531)+E(f28(f2(x3531),f27(x3532),x3531),f2(x3531)) % 0.67/0.88 [415]P41(f25(x4151,x4152))+P41(f25(x4151,f52(x4151)))+~P41(f25(x4151,f2(a1))) % 0.67/0.88 [416]P41(f25(x4161,x4162))+P41(f25(x4161,f53(x4161)))+~P41(f25(x4161,f2(a1))) % 0.67/0.88 [453]P7(f2(a1),f5(x4531),a1)+P41(f25(x4531,x4532))+~P41(f25(x4531,f2(a1))) % 0.67/0.88 [463]P41(f25(x4631,x4632))+~P41(f25(x4631,f5(x4631)))+~P41(f25(x4631,f2(a1))) % 0.67/0.88 [357]E(x3571,f2(a1))+E(x3572,f2(a1))+~E(f25(f25(f3(a1),x3572),x3571),f27(f2(a1))) % 0.67/0.88 [369]E(x3691,f2(a1))+E(x3691,f27(f2(a1)))+~E(f25(f25(f3(a1),x3692),x3691),f27(f2(a1))) % 0.67/0.88 [370]E(x3701,f2(a1))+E(x3701,f27(f2(a1)))+~E(f25(f25(f3(a1),x3701),x3702),f27(f2(a1))) % 0.67/0.88 [374]E(x3741,f27(f2(a1)))+E(x3742,f27(f2(a1)))+~E(f25(f25(f3(a1),x3742),x3741),f27(f2(a1))) % 0.67/0.88 [375]~P21(x3752)+E(x3751,f2(x3752))+~E(f25(f25(f3(x3752),x3751),x3751),f2(x3752)) % 0.67/0.88 [499]P41(f25(x4991,x4992))+~P41(f25(x4991,f2(a1)))+~P41(f25(x4991,f27(f52(x4991)))) % 0.67/0.88 [500]P41(f25(x5001,x5002))+~P41(f25(x5001,f2(a1)))+~P41(f25(x5001,f27(f53(x5001)))) % 0.67/0.88 [551]~P21(x5511)+~P7(f2(x5511),x5512,x5511)+P7(f2(x5511),f25(f25(f3(x5511),x5512),x5512),x5511) % 0.67/0.88 [552]~P21(x5521)+~P11(f2(x5521),x5522,x5521)+P11(f2(x5521),f25(f25(f3(x5521),x5522),x5522),x5521) % 0.67/0.88 [553]~P21(x5531)+~P7(x5532,f2(x5531),x5531)+P7(f25(f25(f3(x5531),x5532),x5532),f2(x5531),x5531) % 0.67/0.88 [554]~P35(x5541)+~P7(x5542,f2(x5541),x5541)+P7(f25(f25(f3(x5541),x5542),x5542),f2(x5541),x5541) % 0.67/0.88 [555]~P21(x5551)+~P11(x5552,f2(x5551),x5551)+P11(f25(f25(f3(x5551),x5552),x5552),f2(x5551),x5551) % 0.67/0.88 [586]~P21(x5862)+P7(x5861,f2(x5862),x5862)+~P7(f25(f25(f3(x5862),x5861),x5861),f2(x5862),x5862) % 0.67/0.88 [587]~P35(x5872)+P7(x5871,f2(x5872),x5872)+~P7(f25(f25(f3(x5872),x5871),x5871),f2(x5872),x5872) % 0.67/0.88 [588]~P21(x5882)+P11(x5881,f2(x5882),x5882)+~P11(f25(f25(f3(x5882),x5881),x5881),f2(x5882),x5882) % 0.67/0.88 [589]~P21(x5891)+P7(f2(x5891),x5892,x5891)+~P7(f2(x5891),f25(f25(f3(x5891),x5892),x5892),x5891) % 0.67/0.88 [590]~P21(x5901)+P11(f2(x5901),x5902,x5901)+~P11(f2(x5901),f25(f25(f3(x5901),x5902),x5902),x5901) % 0.67/0.88 [603]P7(f2(a1),x6031,a1)+P7(f2(a1),x6032,a1)+~P7(f2(a1),f25(f25(f3(a1),x6031),x6032),a1) % 0.67/0.88 [397]P11(x3972,x3971,x3973)+~P25(x3973)+P7(x3971,x3972,x3973) % 0.67/0.88 [399]P11(x3992,x3991,x3993)+~P25(x3993)+P11(x3991,x3992,x3993) % 0.67/0.88 [439]~P1(x4393)+~P7(x4391,x4392,x4393)+P11(x4391,x4392,x4393) % 0.67/0.88 [440]~P28(x4403)+~P7(x4401,x4402,x4403)+P11(x4401,x4402,x4403) % 0.67/0.88 [480]~P7(x4803,x4802,x4801)+~P1(x4801)+~P7(x4802,x4803,x4801) % 0.67/0.88 [482]~P7(x4823,x4822,x4821)+~P28(x4821)+~P7(x4822,x4823,x4821) % 0.67/0.88 [483]~P11(x4833,x4832,x4831)+~P28(x4831)+~P7(x4832,x4833,x4831) % 0.67/0.88 [484]~P7(x4843,x4842,x4841)+~P25(x4841)+~P7(x4842,x4843,x4841) % 0.67/0.88 [486]~P11(x4863,x4862,x4861)+~P25(x4861)+~P7(x4862,x4863,x4861) % 0.67/0.88 [508]~P11(x5081,x5083,a1)+P11(x5081,x5082,a1)+~P11(x5083,x5082,a1) % 0.67/0.88 [328]~P5(x3283)+E(x3281,x3282)+~E(f22(x3281,x3283),f22(x3282,x3283)) % 0.67/0.88 [376]~P20(x3763)+E(x3761,x3762)+~E(f4(x3761,x3762,x3763),f2(x3763)) % 0.67/0.88 [377]~P16(x3773)+E(x3771,x3772)+~E(f4(x3771,x3772,x3773),f2(x3773)) % 0.67/0.88 [379]~P37(x3792)+~E(f28(x3791,x3793,x3792),f2(x3792))+E(x3791,f2(x3792)) % 0.67/0.88 [447]~P25(x4473)+~P11(x4471,x4472,x4473)+E(f26(x4471,x4472,x4473),x4472) % 0.67/0.88 [448]~P25(x4483)+~P11(x4482,x4481,x4483)+E(f26(x4481,x4482,x4483),x4481) % 0.67/0.88 [452]~P25(x4523)+P11(x4521,x4522,x4523)+~E(f26(x4521,x4522,x4523),x4522) % 0.67/0.88 [501]~P29(x5012)+~P7(x5011,x5013,a1)+P7(f22(x5011,x5012),f22(x5013,x5012),x5012) % 0.67/0.88 [502]~P29(x5022)+~P11(x5021,x5023,a1)+P11(f22(x5021,x5022),f22(x5023,x5022),x5022) % 0.67/0.88 [519]~P7(x5191,x5193,a1)+~P7(x5193,x5192,a1)+P7(f27(x5191),x5192,a1) % 0.67/0.88 [520]~P29(x5203)+~P7(f22(x5201,x5203),f22(x5202,x5203),x5203)+P7(x5201,x5202,a1) % 0.67/0.88 [521]~P29(x5213)+~P11(f22(x5211,x5213),f22(x5212,x5213),x5213)+P11(x5211,x5212,a1) % 0.67/0.88 [549]~P22(x5493)+~P7(x5491,x5492,x5493)+P7(f4(x5491,x5492,x5493),f2(x5493),x5493) % 0.67/0.88 [550]~P22(x5503)+~P11(x5501,x5502,x5503)+P11(f4(x5501,x5502,x5503),f2(x5503),x5503) % 0.67/0.88 [556]~P29(x5561)+~P7(f2(x5561),x5562,x5561)+P7(f2(x5561),f28(x5562,x5563,x5561),x5561) % 0.67/0.88 [557]~P29(x5571)+~P11(f2(x5571),x5572,x5571)+P11(f2(x5571),f28(x5572,x5573,x5571),x5571) % 0.67/0.88 [591]~P22(x5913)+P7(x5911,x5912,x5913)+~P7(f4(x5911,x5912,x5913),f2(x5913),x5913) % 0.67/0.88 [592]~P22(x5923)+P11(x5921,x5922,x5923)+~P11(f4(x5921,x5922,x5923),f2(x5923),x5923) % 0.67/0.88 [650]~P7(x6501,x6503,a1)+~P11(x6502,x6501,a1)+P7(f4(x6501,x6502,a1),f4(x6503,x6502,a1),a1) % 0.67/0.88 [651]~P7(x6513,x6512,a1)+~P7(x6513,x6511,a1)+P7(f4(x6511,x6512,a1),f4(x6511,x6513,a1),a1) % 0.67/0.88 [409]E(x4091,x4092)+P7(x4092,x4091,a1)+E(f17(f7(x4091),x4093,x4092),f7(x4091)) % 0.67/0.88 [567]~P38(x5672)+~P11(x5673,x5671,a1)+E(f4(f22(x5671,x5672),f22(x5673,x5672),x5672),f22(f4(x5671,x5673,a1),x5672)) % 0.67/0.88 [668]~P11(x6682,x6683,a1)+~P11(x6682,x6681,a1)+E(f4(f4(x6681,x6682,a1),f4(x6683,x6682,a1),a1),f4(x6681,x6683,a1)) % 0.67/0.88 [669]~P7(x6692,x6693,a1)+~P41(f25(x6691,f4(x6692,x6693,a1)))+P41(f25(x6691,f2(a1))) % 0.67/0.88 [568]~P11(x5681,x5682,a1)+~P7(f2(a1),x5683,a1)+P7(x5681,f25(f25(f3(a1),x5682),x5683),a1) % 0.67/0.88 [660]~P11(x6603,x6602,a1)+P11(x6601,f4(x6602,x6603,a1),a1)+~P11(f25(f25(f3(a1),x6601),x6603),x6602,a1) % 0.67/0.88 [665]~P11(x6652,x6653,a1)+~P11(x6651,f4(x6653,x6652,a1),a1)+P11(f25(f25(f3(a1),x6651),x6652),x6653,a1) % 0.67/0.88 [720]~P6(x7202)+~P6(f20(a9,f17(x7201,x7202,f2(a1)),x7203,a24,a24))+P6(f20(a9,f25(f25(a9,f8(x7201)),x7202),x7203,a24,a24)) % 0.67/0.88 [466]~P9(x4661,x4664,x4663)+P9(x4661,x4662,x4663)+~P10(x4664,x4662) % 0.67/0.88 [490]~P16(x4904)+E(x4901,x4902)+~E(f4(x4903,x4903,x4904),f4(x4901,x4902,x4904)) % 0.67/0.88 [491]~P16(x4913)+E(x4911,x4912)+~E(f4(x4911,x4912,x4913),f4(x4914,x4914,x4913)) % 0.67/0.88 [541]~P25(x5414)+~P7(x5411,x5413,x5414)+P7(x5411,f26(x5412,x5413,x5414),x5414) % 0.67/0.88 [543]~P25(x5434)+~P7(x5431,x5432,x5434)+P7(x5431,f26(x5432,x5433,x5434),x5434) % 0.67/0.88 [545]~P25(x5454)+~P11(x5451,x5453,x5454)+P11(x5451,f26(x5452,x5453,x5454),x5454) % 0.67/0.88 [547]~P25(x5474)+~P11(x5471,x5472,x5474)+P11(x5471,f26(x5472,x5473,x5474),x5474) % 0.67/0.88 [572]~P25(x5723)+P7(x5721,x5722,x5723)+~P7(f26(x5724,x5721,x5723),x5722,x5723) % 0.67/0.88 [573]~P25(x5733)+P7(x5731,x5732,x5733)+~P7(f26(x5731,x5734,x5733),x5732,x5733) % 0.67/0.88 [575]~P25(x5753)+P11(x5751,x5752,x5753)+~P11(f26(x5754,x5751,x5753),x5752,x5753) % 0.67/0.88 [577]~P25(x5773)+P11(x5771,x5772,x5773)+~P11(f26(x5771,x5774,x5773),x5772,x5773) % 0.67/0.88 [410]P41(f25(x4101,x4102))+P41(f25(x4101,x4103))+~E(f32(x4101),f25(f25(a29,x4104),x4103)) % 0.67/0.88 [411]P41(f25(x4111,x4112))+P41(f25(x4111,x4113))+~E(f32(x4111),f25(f25(a29,x4113),x4114)) % 0.67/0.88 [472]~P17(x4723)+E(x4721,x4722)+~E(f25(f25(f3(x4723),x4724),x4721),f25(f25(f3(x4723),x4724),x4722)) % 0.67/0.88 [473]~P18(x4733)+E(x4731,x4732)+~E(f25(f25(f3(x4733),x4734),x4731),f25(f25(f3(x4733),x4734),x4732)) % 0.67/0.88 [474]~P18(x4743)+E(x4741,x4742)+~E(f25(f25(f3(x4743),x4741),x4744),f25(f25(f3(x4743),x4742),x4744)) % 0.67/0.88 [562]~P7(x5624,x5623,a1)+P7(x5621,x5622,a1)+~E(f25(f25(f3(a1),x5621),x5623),f25(f25(f3(a1),x5624),x5622)) % 0.67/0.88 [607]~P23(x6071)+~P7(x6072,x6074,x6071)+P7(f25(f25(f3(x6071),x6072),x6073),f25(f25(f3(x6071),x6074),x6073),x6071) % 0.67/0.88 [608]~P24(x6081)+~P7(x6082,x6084,x6081)+P7(f25(f25(f3(x6081),x6082),x6083),f25(f25(f3(x6081),x6084),x6083),x6081) % 0.67/0.88 [609]~P23(x6091)+~P7(x6093,x6094,x6091)+P7(f25(f25(f3(x6091),x6092),x6093),f25(f25(f3(x6091),x6092),x6094),x6091) % 0.67/0.88 [610]~P24(x6101)+~P7(x6103,x6104,x6101)+P7(f25(f25(f3(x6101),x6102),x6103),f25(f25(f3(x6101),x6102),x6104),x6101) % 0.67/0.88 [611]~P3(x6111)+~P11(x6112,x6114,x6111)+P11(f25(f25(f3(x6111),x6112),x6113),f25(f25(f3(x6111),x6114),x6113),x6111) % 0.67/0.88 [612]~P23(x6121)+~P11(x6122,x6124,x6121)+P11(f25(f25(f3(x6121),x6122),x6123),f25(f25(f3(x6121),x6124),x6123),x6121) % 0.67/0.88 [613]~P3(x6131)+~P11(x6133,x6134,x6131)+P11(f25(f25(f3(x6131),x6132),x6133),f25(f25(f3(x6131),x6132),x6134),x6131) % 0.67/0.88 [614]~P23(x6141)+~P11(x6143,x6144,x6141)+P11(f25(f25(f3(x6141),x6142),x6143),f25(f25(f3(x6141),x6142),x6144),x6141) % 0.67/0.88 [639]~P7(x6392,x6394,a1)+~P7(x6391,x6393,a1)+P7(f25(f25(f3(a1),x6391),x6392),f25(f25(f3(a1),x6393),x6394),a1) % 0.67/0.88 [640]~P11(x6402,x6404,a1)+~P11(x6401,x6403,a1)+P11(f25(f25(f3(a1),x6401),x6402),f25(f25(f3(a1),x6403),x6404),a1) % 0.67/0.88 [661]~P23(x6613)+P7(x6611,x6612,x6613)+~P7(f25(f25(f3(x6613),x6614),x6611),f25(f25(f3(x6613),x6614),x6612),x6613) % 0.67/0.88 [662]~P23(x6623)+P7(x6621,x6622,x6623)+~P7(f25(f25(f3(x6623),x6621),x6624),f25(f25(f3(x6623),x6622),x6624),x6623) % 0.67/0.88 [663]~P23(x6633)+P11(x6631,x6632,x6633)+~P11(f25(f25(f3(x6633),x6634),x6631),f25(f25(f3(x6633),x6634),x6632),x6633) % 0.67/0.88 [664]~P23(x6643)+P11(x6641,x6642,x6643)+~P11(f25(f25(f3(x6643),x6641),x6644),f25(f25(f3(x6643),x6642),x6644),x6643) % 0.67/0.88 [478]E(x4781,x4782)+~E(f18(x4783,x4781,x4784),f18(x4785,x4782,x4784))+E(x4783,f2(a1)) % 0.67/0.88 [719]~P13(x7191,x7193,x7195)+~P9(x7191,x7192,f21(a29,x7195,x7194,a45,a45))+P9(x7191,f20(a9,x7192,x7193,a24,a24),x7194) % 0.67/0.88 [641]~P9(x6411,x6413,x6415)+~P9(x6411,x6412,f25(f25(a29,x6415),x6414))+P9(x6411,f25(f25(a9,x6412),x6413),x6414) % 0.67/0.88 [728]E(x7281,x7282)+~P9(x7283,f20(a9,f7(x7284),x7285,a24,a24),x7281)+~P9(x7283,f20(a9,f7(x7284),x7285,a24,a24),x7282) % 0.67/0.88 [635]~P16(x6351)+E(f25(f25(f3(x6351),x6352),x6353),x6354)+~E(f25(f25(f3(x6351),x6352),f25(f25(f3(x6351),x6355),x6353)),f25(f25(f3(x6351),x6355),x6354)) % 0.67/0.88 [692]~P9(x6921,x6923,x6926)+P9(x6921,f17(x6922,x6923,x6924),x6925)+~P9(f31(x6921,x6924,x6926,a45),x6922,x6925) % 0.67/0.88 [352]~P36(x3522)+~P30(x3522)+E(x3521,f2(a1))+E(f28(f2(x3522),x3521,x3522),f2(x3522)) % 0.67/0.88 [407]P7(x4071,x4072,x4073)+~P25(x4073)+E(x4071,x4072)+P7(x4072,x4071,x4073) % 0.67/0.88 [408]P7(x4081,x4082,x4083)+~P35(x4083)+E(x4081,x4082)+P7(x4082,x4081,x4083) % 0.67/0.88 [459]~P1(x4593)+~P11(x4591,x4592,x4593)+E(x4591,x4592)+P7(x4591,x4592,x4593) % 0.67/0.88 [461]~P25(x4613)+~P11(x4611,x4612,x4613)+E(x4611,x4612)+P7(x4611,x4612,x4613) % 0.67/0.88 [495]~P11(x4952,x4951,x4953)+~P11(x4951,x4952,x4953)+E(x4951,x4952)+~P1(x4953) % 0.67/0.88 [504]P11(x5042,x5041,x5043)+~P28(x5043)+~P11(x5041,x5042,x5043)+P7(x5041,x5042,x5043) % 0.67/0.88 [383]~P34(x3833)+~P14(x3833)+E(x3831,x3832)+~E(f4(x3831,x3832,x3833),f2(x3833)) % 0.67/0.88 [596]E(x5961,x5962)+~P11(x5963,x5962,a1)+~P11(x5963,x5961,a1)+~E(f4(x5961,x5963,a1),f4(x5962,x5963,a1)) % 0.67/0.88 [681]~P11(x6813,x6811,a1)+P7(x6811,x6812,a1)+~P11(x6813,x6812,a1)+~P7(f4(x6811,x6813,a1),f4(x6812,x6813,a1),a1) % 0.67/0.88 [682]~P11(x6823,x6821,a1)+P11(x6821,x6822,a1)+~P11(x6823,x6822,a1)+~P11(f4(x6821,x6823,a1),f4(x6822,x6823,a1),a1) % 0.67/0.88 [507]~P7(x5072,f5(x5071),a1)+P41(f25(x5071,x5072))+P41(f25(x5071,x5073))+~P41(f25(x5071,f2(a1))) % 0.67/0.88 [378]~P34(x3782)+~P14(x3782)+E(x3781,f2(x3782))+~E(f25(f25(f3(x3782),x3783),x3781),x3783) % 0.67/0.88 [619]~P2(x6191)+~P7(f2(x6191),x6193,x6191)+~P7(f2(x6191),x6192,x6191)+P7(f2(x6191),f25(f25(f3(x6191),x6192),x6193),x6191) % 0.67/0.88 [620]~P2(x6201)+~P7(f2(x6201),x6203,x6201)+~P11(f2(x6201),x6202,x6201)+P7(f2(x6201),f25(f25(f3(x6201),x6202),x6203),x6201) % 0.67/0.88 [621]~P2(x6211)+~P7(f2(x6211),x6212,x6211)+~P11(f2(x6211),x6213,x6211)+P7(f2(x6211),f25(f25(f3(x6211),x6212),x6213),x6211) % 0.67/0.88 [622]~P2(x6221)+~P11(f2(x6221),x6223,x6221)+~P11(f2(x6221),x6222,x6221)+P11(f2(x6221),f25(f25(f3(x6221),x6222),x6223),x6221) % 0.67/0.88 [623]~P2(x6231)+~P7(x6233,f2(x6231),x6231)+~P7(x6232,f2(x6231),x6231)+P7(f25(f25(f3(x6231),x6232),x6233),f2(x6231),x6231) % 0.67/0.88 [624]~P2(x6241)+~P7(x6243,f2(x6241),x6241)+~P11(x6242,f2(x6241),x6241)+P7(f25(f25(f3(x6241),x6242),x6243),f2(x6241),x6241) % 0.67/0.88 [625]~P2(x6251)+~P7(x6252,f2(x6251),x6251)+~P11(x6253,f2(x6251),x6251)+P7(f25(f25(f3(x6251),x6252),x6253),f2(x6251),x6251) % 0.67/0.88 [626]~P2(x6261)+~P11(x6263,f2(x6261),x6261)+~P11(x6262,f2(x6261),x6261)+P11(f25(f25(f3(x6261),x6262),x6263),f2(x6261),x6261) % 0.67/0.88 [523]~P1(x5233)+~P7(x5231,x5234,x5233)+P7(x5231,x5232,x5233)+~P7(x5234,x5232,x5233) % 0.67/0.88 [524]~P1(x5243)+~P11(x5241,x5244,x5243)+P7(x5241,x5242,x5243)+~P7(x5244,x5242,x5243) % 0.67/0.88 [525]~P1(x5253)+~P11(x5254,x5252,x5253)+P7(x5251,x5252,x5253)+~P7(x5251,x5254,x5253) % 0.67/0.88 [526]~P28(x5263)+~P7(x5261,x5264,x5263)+P7(x5261,x5262,x5263)+~P7(x5264,x5262,x5263) % 0.67/0.88 [527]~P28(x5273)+~P11(x5271,x5274,x5273)+P7(x5271,x5272,x5273)+~P7(x5274,x5272,x5273) % 0.67/0.88 [528]~P28(x5283)+~P11(x5284,x5282,x5283)+P7(x5281,x5282,x5283)+~P7(x5281,x5284,x5283) % 0.67/0.88 [529]~P1(x5293)+~P11(x5291,x5294,x5293)+P11(x5291,x5292,x5293)+~P11(x5294,x5292,x5293) % 0.67/0.88 [530]~P28(x5303)+~P11(x5301,x5304,x5303)+P11(x5301,x5302,x5303)+~P11(x5304,x5302,x5303) % 0.67/0.88 [599]~P25(x5993)+~P7(x5992,x5994,x5993)+~P7(x5991,x5994,x5993)+P7(f26(x5991,x5992,x5993),x5994,x5993) % 0.67/0.88 [602]~P25(x6023)+~P11(x6022,x6024,x6023)+~P11(x6021,x6024,x6023)+P11(f26(x6021,x6022,x6023),x6024,x6023) % 0.67/0.88 [628]~P25(x6283)+P7(x6281,x6282,x6283)+P7(x6281,x6284,x6283)+~P7(x6281,f26(x6282,x6284,x6283),x6283) % 0.67/0.88 [629]~P25(x6293)+P11(x6291,x6292,x6293)+P11(x6291,x6294,x6293)+~P11(x6291,f26(x6292,x6294,x6293),x6293) % 0.67/0.88 [658]~P29(x6583)+~P11(x6581,x6584,x6583)+~P11(f2(x6583),x6581,x6583)+P11(f28(x6581,x6582,x6583),f28(x6584,x6582,x6583),x6583) % 0.67/0.88 [678]~P29(x6783)+P7(x6781,x6782,x6783)+~P11(f2(x6783),x6782,x6783)+~P7(f28(x6781,x6784,x6783),f28(x6782,x6784,x6783),x6783) % 0.67/0.88 [680]~P29(x6803)+P11(x6801,x6802,x6803)+~P11(f2(x6803),x6802,x6803)+~P11(f28(x6801,f27(x6804),x6803),f28(x6802,f27(x6804),x6803),x6803) % 0.67/0.88 [492]~P34(x4923)+~P14(x4923)+E(x4921,x4922)+~E(f25(f25(f3(x4923),x4924),x4921),f25(f25(f3(x4923),x4924),x4922)) % 0.67/0.88 [606]~P29(x6062)+~P7(x6061,x6064,x6062)+~P7(f2(x6062),x6063,x6062)+P7(x6061,f25(f25(f3(x6062),x6063),x6064),x6062) % 0.67/0.88 [582]~P22(x5823)+~P7(x5824,x5825,x5823)+P7(x5821,x5822,x5823)+~E(f4(x5824,x5825,x5823),f4(x5821,x5822,x5823)) % 0.67/0.88 [583]~P22(x5833)+~P7(x5834,x5835,x5833)+P7(x5831,x5832,x5833)+~E(f4(x5831,x5832,x5833),f4(x5834,x5835,x5833)) % 0.67/0.88 [584]~P22(x5843)+~P11(x5845,x5844,x5843)+P11(x5841,x5842,x5843)+~E(f4(x5844,x5845,x5843),f4(x5842,x5841,x5843)) % 0.67/0.88 [585]~P22(x5853)+~P11(x5855,x5854,x5853)+P11(x5851,x5852,x5853)+~E(f4(x5852,x5851,x5853),f4(x5854,x5855,x5853)) % 0.67/0.88 [653]~P24(x6531)+~P7(x6533,x6535,x6531)+~P7(x6532,x6534,x6531)+P7(f25(f25(f3(x6531),x6532),x6533),f25(f25(f3(x6531),x6534),x6535),x6531) % 0.67/0.88 [654]~P24(x6541)+~P7(x6543,x6545,x6541)+~P11(x6542,x6544,x6541)+P7(f25(f25(f3(x6541),x6542),x6543),f25(f25(f3(x6541),x6544),x6545),x6541) % 0.67/0.88 [655]~P24(x6551)+~P7(x6552,x6554,x6551)+~P11(x6553,x6555,x6551)+P7(f25(f25(f3(x6551),x6552),x6553),f25(f25(f3(x6551),x6554),x6555),x6551) % 0.67/0.88 [656]~P3(x6561)+~P11(x6563,x6565,x6561)+~P11(x6562,x6564,x6561)+P11(f25(f25(f3(x6561),x6562),x6563),f25(f25(f3(x6561),x6564),x6565),x6561) % 0.67/0.88 [670]~P22(x6702)+~P11(x6705,x6704,x6702)+~P11(x6701,f25(f25(f3(x6702),x6703),x6705),x6702)+P11(x6701,f25(f25(f3(x6702),x6703),x6704),x6702) % 0.67/0.88 [771]~P13(x7711,x7715,x7716)+P13(x7711,x7712,f41(x7713,x7714,x7711,x7712))+~P9(x7711,f20(a9,f7(x7717),x7715,a24,a24),x7714)+~P9(x7711,f20(a9,f20(a9,f7(x7717),x7715,a24,a24),x7712,a24,a24),x7713) % 0.67/0.88 [772]~P13(x7723,x7725,x7726)+~P9(x7723,f20(a9,f7(x7727),x7725,a24,a24),x7722)+~P9(x7723,f20(a9,f20(a9,f7(x7727),x7725,a24,a24),x7724,a24,a24),x7721)+E(f21(a29,f41(x7721,x7722,x7723,x7724),x7721,a45,a45),x7722) % 0.67/0.88 [412]~P30(x4122)+~P39(x4122)+~P32(x4122)+~P33(x4122)+~E(f28(x4121,f2(a1),x4122),f2(x4122)) % 0.67/0.88 [564]~P2(x5642)+~P11(f2(x5642),x5641,x5642)+~P11(f2(x5642),x5643,x5642)+E(x5641,f2(x5642))+~E(f25(f25(f3(x5642),x5643),x5641),f2(x5642)) % 0.67/0.88 [565]~P2(x5652)+~P11(f2(x5652),x5653,x5652)+~P11(f2(x5652),x5651,x5652)+E(x5651,f2(x5652))+~E(f25(f25(f3(x5652),x5651),x5653),f2(x5652)) % 0.67/0.88 [677]~P29(x6773)+~P7(x6771,x6774,x6773)+~P11(f2(x6773),x6771,x6773)+P7(f28(x6771,x6772,x6773),f28(x6774,x6772,x6773),x6773)+~P7(f2(a1),x6772,a1) % 0.67/0.88 [638]~P29(x6384)+E(x6381,x6382)+~P11(f2(x6384),x6382,x6384)+~P11(f2(x6384),x6381,x6384)+~E(f28(x6381,f27(x6383),x6384),f28(x6382,f27(x6383),x6384)) % 0.67/0.88 [615]~P23(x6152)+~P4(x6152)+~P7(x6151,x6154,x6152)+~P11(f2(x6152),x6153,x6152)+P7(x6151,f25(f25(f3(x6152),x6153),x6154),x6152) % 0.67/0.88 [616]~P23(x6162)+~P4(x6162)+~P11(x6161,x6164,x6162)+~P7(f2(x6162),x6163,x6162)+P7(x6161,f25(f25(f3(x6162),x6163),x6164),x6162) % 0.67/0.88 [617]~P23(x6172)+~P4(x6172)+~P11(x6171,x6174,x6172)+~P11(f2(x6172),x6173,x6172)+P11(x6171,f25(f25(f3(x6172),x6173),x6174),x6172) % 0.67/0.88 [618]~P23(x6182)+~P4(x6182)+~P11(x6181,x6183,x6182)+~P11(f2(x6182),x6184,x6182)+P11(x6181,f25(f25(f3(x6182),x6183),x6184),x6182) % 0.67/0.88 [691]~P6(x6912)+~P6(x6911)+~P9(x6914,x6912,x6915)+~P9(f31(x6914,x6913,x6915,a45),x6911,x6916)+P6(f17(x6911,x6912,x6913)) % 0.67/0.88 [371]~P30(x3712)+~P39(x3712)+~P32(x3712)+~P33(x3712)+E(x3711,f2(a1))+E(f28(f2(x3712),x3711,x3712),f2(x3712)) % 0.67/0.88 [413]~P30(x4132)+~P39(x4132)+~P32(x4132)+~P33(x4132)+~E(f28(x4131,x4133,x4132),f2(x4132))+E(x4131,f2(x4132)) % 0.67/0.88 [659]~P29(x6594)+E(x6591,x6592)+~P11(f2(x6594),x6592,x6594)+~P11(f2(x6594),x6591,x6594)+~E(f28(x6591,x6593,x6594),f28(x6592,x6593,x6594))+~P7(f2(a1),x6593,a1) % 0.67/0.88 %EqnAxiom % 0.67/0.88 [1]E(x11,x11) % 0.67/0.88 [2]E(x22,x21)+~E(x21,x22) % 0.67/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.67/0.88 [4]~E(x41,x42)+E(f2(x41),f2(x42)) % 0.67/0.88 [5]~E(x51,x52)+E(f6(x51),f6(x52)) % 0.67/0.88 [6]~E(x61,x62)+E(f7(x61),f7(x62)) % 0.67/0.88 [7]~E(x71,x72)+E(f25(x71,x73),f25(x72,x73)) % 0.67/0.88 [8]~E(x81,x82)+E(f25(x83,x81),f25(x83,x82)) % 0.67/0.88 [9]~E(x91,x92)+E(f10(x91),f10(x92)) % 0.67/0.88 [10]~E(x101,x102)+E(f20(x101,x103,x104,x105,x106),f20(x102,x103,x104,x105,x106)) % 0.67/0.88 [11]~E(x111,x112)+E(f20(x113,x111,x114,x115,x116),f20(x113,x112,x114,x115,x116)) % 0.67/0.88 [12]~E(x121,x122)+E(f20(x123,x124,x121,x125,x126),f20(x123,x124,x122,x125,x126)) % 0.67/0.88 [13]~E(x131,x132)+E(f20(x133,x134,x135,x131,x136),f20(x133,x134,x135,x132,x136)) % 0.67/0.88 [14]~E(x141,x142)+E(f20(x143,x144,x145,x146,x141),f20(x143,x144,x145,x146,x142)) % 0.67/0.88 [15]~E(x151,x152)+E(f13(x151,x153),f13(x152,x153)) % 0.67/0.88 [16]~E(x161,x162)+E(f13(x163,x161),f13(x163,x162)) % 0.67/0.88 [17]~E(x171,x172)+E(f18(x171,x173,x174),f18(x172,x173,x174)) % 0.67/0.88 [18]~E(x181,x182)+E(f18(x183,x181,x184),f18(x183,x182,x184)) % 0.67/0.88 [19]~E(x191,x192)+E(f18(x193,x194,x191),f18(x193,x194,x192)) % 0.67/0.88 [20]~E(x201,x202)+E(f17(x201,x203,x204),f17(x202,x203,x204)) % 0.67/0.88 [21]~E(x211,x212)+E(f17(x213,x211,x214),f17(x213,x212,x214)) % 0.67/0.88 [22]~E(x221,x222)+E(f17(x223,x224,x221),f17(x223,x224,x222)) % 0.67/0.88 [23]~E(x231,x232)+E(f27(x231),f27(x232)) % 0.67/0.88 [24]~E(x241,x242)+E(f3(x241),f3(x242)) % 0.67/0.88 [25]~E(x251,x252)+E(f32(x251),f32(x252)) % 0.67/0.88 [26]~E(x261,x262)+E(f8(x261),f8(x262)) % 0.67/0.88 [27]~E(x271,x272)+E(f14(x271,x273,x274),f14(x272,x273,x274)) % 0.67/0.88 [28]~E(x281,x282)+E(f14(x283,x281,x284),f14(x283,x282,x284)) % 0.67/0.88 [29]~E(x291,x292)+E(f14(x293,x294,x291),f14(x293,x294,x292)) % 0.67/0.88 [30]~E(x301,x302)+E(f21(x301,x303,x304,x305,x306),f21(x302,x303,x304,x305,x306)) % 0.67/0.89 [31]~E(x311,x312)+E(f21(x313,x311,x314,x315,x316),f21(x313,x312,x314,x315,x316)) % 0.67/0.89 [32]~E(x321,x322)+E(f21(x323,x324,x321,x325,x326),f21(x323,x324,x322,x325,x326)) % 0.67/0.89 [33]~E(x331,x332)+E(f21(x333,x334,x335,x331,x336),f21(x333,x334,x335,x332,x336)) % 0.67/0.89 [34]~E(x341,x342)+E(f21(x343,x344,x345,x346,x341),f21(x343,x344,x345,x346,x342)) % 0.67/0.89 [35]~E(x351,x352)+E(f28(x351,x353,x354),f28(x352,x353,x354)) % 0.67/0.89 [36]~E(x361,x362)+E(f28(x363,x361,x364),f28(x363,x362,x364)) % 0.67/0.89 [37]~E(x371,x372)+E(f28(x373,x374,x371),f28(x373,x374,x372)) % 0.67/0.89 [38]~E(x381,x382)+E(f26(x381,x383,x384),f26(x382,x383,x384)) % 0.67/0.89 [39]~E(x391,x392)+E(f26(x393,x391,x394),f26(x393,x392,x394)) % 0.67/0.89 [40]~E(x401,x402)+E(f26(x403,x404,x401),f26(x403,x404,x402)) % 0.67/0.89 [41]~E(x411,x412)+E(f19(x411),f19(x412)) % 0.67/0.89 [42]~E(x421,x422)+E(f4(x421,x423,x424),f4(x422,x423,x424)) % 0.67/0.89 [43]~E(x431,x432)+E(f4(x433,x431,x434),f4(x433,x432,x434)) % 0.67/0.89 [44]~E(x441,x442)+E(f4(x443,x444,x441),f4(x443,x444,x442)) % 0.67/0.89 [45]~E(x451,x452)+E(f42(x451,x453,x454,x455),f42(x452,x453,x454,x455)) % 0.67/0.89 [46]~E(x461,x462)+E(f42(x463,x461,x464,x465),f42(x463,x462,x464,x465)) % 0.67/0.89 [47]~E(x471,x472)+E(f42(x473,x474,x471,x475),f42(x473,x474,x472,x475)) % 0.67/0.89 [48]~E(x481,x482)+E(f42(x483,x484,x485,x481),f42(x483,x484,x485,x482)) % 0.67/0.89 [49]~E(x491,x492)+E(f12(x491,x493,x494,x495,x496),f12(x492,x493,x494,x495,x496)) % 0.67/0.89 [50]~E(x501,x502)+E(f12(x503,x501,x504,x505,x506),f12(x503,x502,x504,x505,x506)) % 0.67/0.89 [51]~E(x511,x512)+E(f12(x513,x514,x511,x515,x516),f12(x513,x514,x512,x515,x516)) % 0.67/0.89 [52]~E(x521,x522)+E(f12(x523,x524,x525,x521,x526),f12(x523,x524,x525,x522,x526)) % 0.67/0.89 [53]~E(x531,x532)+E(f12(x533,x534,x535,x536,x531),f12(x533,x534,x535,x536,x532)) % 0.67/0.89 [54]~E(x541,x542)+E(f22(x541,x543),f22(x542,x543)) % 0.67/0.89 [55]~E(x551,x552)+E(f22(x553,x551),f22(x553,x552)) % 0.67/0.89 [56]~E(x561,x562)+E(f31(x561,x563,x564,x565),f31(x562,x563,x564,x565)) % 0.67/0.89 [57]~E(x571,x572)+E(f31(x573,x571,x574,x575),f31(x573,x572,x574,x575)) % 0.67/0.89 [58]~E(x581,x582)+E(f31(x583,x584,x581,x585),f31(x583,x584,x582,x585)) % 0.67/0.89 [59]~E(x591,x592)+E(f31(x593,x594,x595,x591),f31(x593,x594,x595,x592)) % 0.67/0.89 [60]~E(x601,x602)+E(f11(x601,x603,x604,x605,x606),f11(x602,x603,x604,x605,x606)) % 0.67/0.89 [61]~E(x611,x612)+E(f11(x613,x611,x614,x615,x616),f11(x613,x612,x614,x615,x616)) % 0.67/0.89 [62]~E(x621,x622)+E(f11(x623,x624,x621,x625,x626),f11(x623,x624,x622,x625,x626)) % 0.67/0.89 [63]~E(x631,x632)+E(f11(x633,x634,x635,x631,x636),f11(x633,x634,x635,x632,x636)) % 0.67/0.89 [64]~E(x641,x642)+E(f11(x643,x644,x645,x646,x641),f11(x643,x644,x645,x646,x642)) % 0.67/0.89 [65]~E(x651,x652)+E(f41(x651,x653,x654,x655),f41(x652,x653,x654,x655)) % 0.67/0.89 [66]~E(x661,x662)+E(f41(x663,x661,x664,x665),f41(x663,x662,x664,x665)) % 0.67/0.89 [67]~E(x671,x672)+E(f41(x673,x674,x671,x675),f41(x673,x674,x672,x675)) % 0.67/0.89 [68]~E(x681,x682)+E(f41(x683,x684,x685,x681),f41(x683,x684,x685,x682)) % 0.67/0.89 [69]~E(x691,x692)+E(f43(x691,x693,x694,x695),f43(x692,x693,x694,x695)) % 0.67/0.89 [70]~E(x701,x702)+E(f43(x703,x701,x704,x705),f43(x703,x702,x704,x705)) % 0.67/0.89 [71]~E(x711,x712)+E(f43(x713,x714,x711,x715),f43(x713,x714,x712,x715)) % 0.67/0.89 [72]~E(x721,x722)+E(f43(x723,x724,x725,x721),f43(x723,x724,x725,x722)) % 0.67/0.89 [73]~E(x731,x732)+E(f38(x731,x733,x734,x735),f38(x732,x733,x734,x735)) % 0.67/0.89 [74]~E(x741,x742)+E(f38(x743,x741,x744,x745),f38(x743,x742,x744,x745)) % 0.67/0.89 [75]~E(x751,x752)+E(f38(x753,x754,x751,x755),f38(x753,x754,x752,x755)) % 0.67/0.89 [76]~E(x761,x762)+E(f38(x763,x764,x765,x761),f38(x763,x764,x765,x762)) % 0.67/0.89 [77]~E(x771,x772)+E(f30(x771),f30(x772)) % 0.67/0.89 [78]~E(x781,x782)+E(f40(x781,x783,x784,x785),f40(x782,x783,x784,x785)) % 0.67/0.89 [79]~E(x791,x792)+E(f40(x793,x791,x794,x795),f40(x793,x792,x794,x795)) % 0.67/0.89 [80]~E(x801,x802)+E(f40(x803,x804,x801,x805),f40(x803,x804,x802,x805)) % 0.67/0.89 [81]~E(x811,x812)+E(f40(x813,x814,x815,x811),f40(x813,x814,x815,x812)) % 0.67/0.89 [82]~E(x821,x822)+E(f36(x821,x823,x824,x825),f36(x822,x823,x824,x825)) % 0.67/0.89 [83]~E(x831,x832)+E(f36(x833,x831,x834,x835),f36(x833,x832,x834,x835)) % 0.67/0.89 [84]~E(x841,x842)+E(f36(x843,x844,x841,x845),f36(x843,x844,x842,x845)) % 0.67/0.89 [85]~E(x851,x852)+E(f36(x853,x854,x855,x851),f36(x853,x854,x855,x852)) % 0.67/0.89 [86]~E(x861,x862)+E(f39(x861,x863,x864),f39(x862,x863,x864)) % 0.67/0.89 [87]~E(x871,x872)+E(f39(x873,x871,x874),f39(x873,x872,x874)) % 0.67/0.89 [88]~E(x881,x882)+E(f39(x883,x884,x881),f39(x883,x884,x882)) % 0.67/0.89 [89]~E(x891,x892)+E(f37(x891,x893,x894),f37(x892,x893,x894)) % 0.67/0.89 [90]~E(x901,x902)+E(f37(x903,x901,x904),f37(x903,x902,x904)) % 0.67/0.89 [91]~E(x911,x912)+E(f37(x913,x914,x911),f37(x913,x914,x912)) % 0.67/0.89 [92]~E(x921,x922)+E(f15(x921,x923),f15(x922,x923)) % 0.67/0.89 [93]~E(x931,x932)+E(f15(x933,x931),f15(x933,x932)) % 0.67/0.89 [94]~E(x941,x942)+E(f16(x941,x943,x944),f16(x942,x943,x944)) % 0.67/0.89 [95]~E(x951,x952)+E(f16(x953,x951,x954),f16(x953,x952,x954)) % 0.67/0.89 [96]~E(x961,x962)+E(f16(x963,x964,x961),f16(x963,x964,x962)) % 0.67/0.89 [97]~E(x971,x972)+E(f46(x971,x973),f46(x972,x973)) % 0.67/0.89 [98]~E(x981,x982)+E(f46(x983,x981),f46(x983,x982)) % 0.67/0.89 [99]~E(x991,x992)+E(f5(x991),f5(x992)) % 0.67/0.89 [100]~E(x1001,x1002)+E(f53(x1001),f53(x1002)) % 0.67/0.89 [101]~E(x1011,x1012)+E(f33(x1011,x1013),f33(x1012,x1013)) % 0.67/0.89 [102]~E(x1021,x1022)+E(f33(x1023,x1021),f33(x1023,x1022)) % 0.67/0.89 [103]~E(x1031,x1032)+E(f35(x1031,x1033,x1034,x1035),f35(x1032,x1033,x1034,x1035)) % 0.67/0.89 [104]~E(x1041,x1042)+E(f35(x1043,x1041,x1044,x1045),f35(x1043,x1042,x1044,x1045)) % 0.67/0.89 [105]~E(x1051,x1052)+E(f35(x1053,x1054,x1051,x1055),f35(x1053,x1054,x1052,x1055)) % 0.67/0.89 [106]~E(x1061,x1062)+E(f35(x1063,x1064,x1065,x1061),f35(x1063,x1064,x1065,x1062)) % 0.67/0.89 [107]~E(x1071,x1072)+E(f52(x1071),f52(x1072)) % 0.67/0.89 [108]~E(x1081,x1082)+E(f34(x1081,x1083),f34(x1082,x1083)) % 0.67/0.89 [109]~E(x1091,x1092)+E(f34(x1093,x1091),f34(x1093,x1092)) % 0.67/0.89 [110]~P1(x1101)+P1(x1102)+~E(x1101,x1102) % 0.67/0.89 [111]~P28(x1111)+P28(x1112)+~E(x1111,x1112) % 0.67/0.89 [112]~P2(x1121)+P2(x1122)+~E(x1121,x1122) % 0.67/0.89 [113]~P3(x1131)+P3(x1132)+~E(x1131,x1132) % 0.67/0.89 [114]~P29(x1141)+P29(x1142)+~E(x1141,x1142) % 0.67/0.89 [115]~P23(x1151)+P23(x1152)+~E(x1151,x1152) % 0.67/0.89 [116]~P4(x1161)+P4(x1162)+~E(x1161,x1162) % 0.67/0.89 [117]~P25(x1171)+P25(x1172)+~E(x1171,x1172) % 0.67/0.89 [118]~P36(x1181)+P36(x1182)+~E(x1181,x1182) % 0.67/0.89 [119]~P30(x1191)+P30(x1192)+~E(x1191,x1192) % 0.67/0.89 [120]~P26(x1201)+P26(x1202)+~E(x1201,x1202) % 0.67/0.89 [121]~P31(x1211)+P31(x1212)+~E(x1211,x1212) % 0.67/0.89 [122]~P27(x1221)+P27(x1222)+~E(x1221,x1222) % 0.67/0.89 [123]~P5(x1231)+P5(x1232)+~E(x1231,x1232) % 0.67/0.89 [124]~P15(x1241)+P15(x1242)+~E(x1241,x1242) % 0.67/0.89 [125]~P19(x1251)+P19(x1252)+~E(x1251,x1252) % 0.67/0.89 [126]~P17(x1261)+P17(x1262)+~E(x1261,x1262) % 0.67/0.89 [127]~P18(x1271)+P18(x1272)+~E(x1271,x1272) % 0.67/0.89 [128]~P6(x1281)+P6(x1282)+~E(x1281,x1282) % 0.67/0.89 [129]P11(x1292,x1293,x1294)+~E(x1291,x1292)+~P11(x1291,x1293,x1294) % 0.67/0.89 [130]P11(x1303,x1302,x1304)+~E(x1301,x1302)+~P11(x1303,x1301,x1304) % 0.67/0.89 [131]P11(x1313,x1314,x1312)+~E(x1311,x1312)+~P11(x1313,x1314,x1311) % 0.67/0.89 [132]~P24(x1321)+P24(x1322)+~E(x1321,x1322) % 0.67/0.89 [133]~P39(x1331)+P39(x1332)+~E(x1331,x1332) % 0.67/0.89 [134]~P32(x1341)+P32(x1342)+~E(x1341,x1342) % 0.67/0.89 [135]~P33(x1351)+P33(x1352)+~E(x1351,x1352) % 0.67/0.89 [136]~P40(x1361)+P40(x1362)+~E(x1361,x1362) % 0.67/0.89 [137]P7(x1372,x1373,x1374)+~E(x1371,x1372)+~P7(x1371,x1373,x1374) % 0.67/0.89 [138]P7(x1383,x1382,x1384)+~E(x1381,x1382)+~P7(x1383,x1381,x1384) % 0.67/0.89 [139]P7(x1393,x1394,x1392)+~E(x1391,x1392)+~P7(x1393,x1394,x1391) % 0.67/0.89 [140]P9(x1402,x1403,x1404)+~E(x1401,x1402)+~P9(x1401,x1403,x1404) % 0.67/0.89 [141]P9(x1413,x1412,x1414)+~E(x1411,x1412)+~P9(x1413,x1411,x1414) % 0.67/0.89 [142]P9(x1423,x1424,x1422)+~E(x1421,x1422)+~P9(x1423,x1424,x1421) % 0.67/0.89 [143]~P41(x1431)+P41(x1432)+~E(x1431,x1432) % 0.67/0.89 [144]~P20(x1441)+P20(x1442)+~E(x1441,x1442) % 0.67/0.89 [145]P12(x1452,x1453,x1454)+~E(x1451,x1452)+~P12(x1451,x1453,x1454) % 0.67/0.89 [146]P12(x1463,x1462,x1464)+~E(x1461,x1462)+~P12(x1463,x1461,x1464) % 0.67/0.89 [147]P12(x1473,x1474,x1472)+~E(x1471,x1472)+~P12(x1473,x1474,x1471) % 0.67/0.89 [148]P8(x1482,x1483,x1484,x1485,x1486,x1487)+~E(x1481,x1482)+~P8(x1481,x1483,x1484,x1485,x1486,x1487) % 0.67/0.89 [149]P8(x1493,x1492,x1494,x1495,x1496,x1497)+~E(x1491,x1492)+~P8(x1493,x1491,x1494,x1495,x1496,x1497) % 0.67/0.89 [150]P8(x1503,x1504,x1502,x1505,x1506,x1507)+~E(x1501,x1502)+~P8(x1503,x1504,x1501,x1505,x1506,x1507) % 0.67/0.89 [151]P8(x1513,x1514,x1515,x1512,x1516,x1517)+~E(x1511,x1512)+~P8(x1513,x1514,x1515,x1511,x1516,x1517) % 0.67/0.89 [152]P8(x1523,x1524,x1525,x1526,x1522,x1527)+~E(x1521,x1522)+~P8(x1523,x1524,x1525,x1526,x1521,x1527) % 0.67/0.89 [153]P8(x1533,x1534,x1535,x1536,x1537,x1532)+~E(x1531,x1532)+~P8(x1533,x1534,x1535,x1536,x1537,x1531) % 0.67/0.89 [154]~P35(x1541)+P35(x1542)+~E(x1541,x1542) % 0.67/0.89 [155]~P21(x1551)+P21(x1552)+~E(x1551,x1552) % 0.67/0.89 [156]P10(x1562,x1563)+~E(x1561,x1562)+~P10(x1561,x1563) % 0.67/0.89 [157]P10(x1573,x1572)+~E(x1571,x1572)+~P10(x1573,x1571) % 0.67/0.89 [158]~P38(x1581)+P38(x1582)+~E(x1581,x1582) % 0.67/0.89 [159]~P14(x1591)+P14(x1592)+~E(x1591,x1592) % 0.67/0.89 [160]P13(x1602,x1603,x1604)+~E(x1601,x1602)+~P13(x1601,x1603,x1604) % 0.67/0.89 [161]P13(x1613,x1612,x1614)+~E(x1611,x1612)+~P13(x1613,x1611,x1614) % 0.67/0.89 [162]P13(x1623,x1624,x1622)+~E(x1621,x1622)+~P13(x1623,x1624,x1621) % 0.67/0.89 [163]~P22(x1631)+P22(x1632)+~E(x1631,x1632) % 0.67/0.89 [164]~P34(x1641)+P34(x1642)+~E(x1641,x1642) % 0.67/0.89 [165]~P37(x1651)+P37(x1652)+~E(x1651,x1652) % 0.67/0.89 [166]~P16(x1661)+P16(x1662)+~E(x1661,x1662) % 0.67/0.89 % 0.67/0.89 %------------------------------------------- % 0.67/0.89 cnf(808,plain, % 0.67/0.89 (~E(f27(x8081),x8081)), % 0.67/0.89 inference(rename_variables,[],[291])). % 0.67/0.89 cnf(813,plain, % 0.67/0.89 (~E(f25(f25(a29,x8131),x8132),f30(x8133))), % 0.67/0.89 inference(rename_variables,[],[304])). % 0.67/0.89 cnf(819,plain, % 0.67/0.89 (~E(f27(x8191),x8191)), % 0.67/0.89 inference(rename_variables,[],[291])). % 0.67/0.89 cnf(822,plain, % 0.67/0.89 (~E(f27(x8221),x8221)), % 0.67/0.89 inference(rename_variables,[],[291])). % 0.67/0.89 cnf(828,plain, % 0.67/0.89 (~E(f25(f25(a9,x8281),x8282),f7(x8283))), % 0.67/0.89 inference(rename_variables,[],[302])). % 0.67/0.89 cnf(831,plain, % 0.67/0.89 (~E(f25(f25(a29,x8311),x8312),f30(x8313))), % 0.67/0.89 inference(rename_variables,[],[304])). % 0.67/0.89 cnf(834,plain, % 0.67/0.89 (~E(f25(f25(a9,x8341),x8342),f7(x8343))), % 0.67/0.89 inference(rename_variables,[],[302])). % 0.67/0.89 cnf(837,plain, % 0.67/0.89 (~E(f25(f25(a29,x8371),x8372),f30(x8373))), % 0.67/0.89 inference(rename_variables,[],[304])). % 0.67/0.89 cnf(849,plain, % 0.67/0.89 (~P7(f25(f25(f3(a1),x8491),x8492),x8492,a1)), % 0.67/0.89 inference(rename_variables,[],[311])). % 0.67/0.89 cnf(857,plain, % 0.67/0.89 (~P7(f25(f25(f3(a1),x8571),x8572),x8572,a1)), % 0.67/0.89 inference(rename_variables,[],[311])). % 0.67/0.89 cnf(860,plain, % 0.67/0.89 (~P7(f25(f25(f3(a1),x8601),x8602),x8602,a1)), % 0.67/0.89 inference(rename_variables,[],[311])). % 0.67/0.89 cnf(863,plain, % 0.67/0.89 (~P11(f27(x8631),x8631,a1)), % 0.67/0.89 inference(rename_variables,[],[309])). % 0.67/0.89 cnf(866,plain, % 0.67/0.89 (P7(x8661,f27(x8661),a1)), % 0.67/0.89 inference(rename_variables,[],[214])). % 0.67/0.89 cnf(869,plain, % 0.67/0.89 (P11(x8691,f25(f25(f3(a1),x8691),x8692),a1)), % 0.67/0.89 inference(rename_variables,[],[239])). % 0.67/0.89 cnf(872,plain, % 0.67/0.89 (P11(x8721,f25(f25(f3(a1),x8722),x8721),a1)), % 0.67/0.89 inference(rename_variables,[],[237])). % 0.67/0.89 cnf(880,plain, % 0.67/0.89 (~P7(f25(f25(f3(a1),x8801),x8802),x8802,a1)), % 0.67/0.89 inference(rename_variables,[],[311])). % 0.67/0.89 cnf(886,plain, % 0.67/0.89 (~P11(f27(x8861),x8861,a1)), % 0.67/0.89 inference(rename_variables,[],[309])). % 0.67/0.89 cnf(889,plain, % 0.67/0.89 (~P11(f27(x8891),x8891,a1)), % 0.67/0.89 inference(rename_variables,[],[309])). % 0.67/0.89 cnf(899,plain, % 0.67/0.89 (P11(x8991,f25(f25(f3(a1),x8992),x8991),a1)), % 0.67/0.89 inference(rename_variables,[],[237])). % 0.67/0.89 cnf(920,plain, % 0.67/0.89 ($false), % 0.67/0.89 inference(scs_inference,[],[313,230,204,274,273,240,302,828,834,304,813,831,837,201,306,291,808,819,822,214,866,309,863,886,889,246,237,872,899,239,869,311,849,857,860,880,252,354,366,386,657,690,695,696,697,732,733,735,736,739,740,2,380,390,418,423,424,425,427,432,434,435,476,477,512,514,516,518,534,537,559,560,561,579,632,633,636,637,648,641]), % 0.67/0.89 ['proof']). % 0.67/0.89 % SZS output end Proof % 0.67/0.89 % Total time :0.082252s %------------------------------------------------------------------------------