%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:58 AM UTC 2026 % Result : Unsatisfiable 1.28s 1.42s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL838-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.07/0.35 % Computer : n027.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Sat Sep 5 02:19:42 UTC 2026 % 0.07/0.35 % CPUTime : % 0.24/0.52 start to proof:theBenchmark % 1.17/1.37 %------------------------------------------- % 1.17/1.37 % File :CSE---1.7 % 1.17/1.37 % Problem :theBenchmark % 1.17/1.37 % Transform :cnf % 1.17/1.37 % Format :tptp:raw % 1.17/1.37 % Command :java -jar mcs_scs.jar %d %s % 1.17/1.37 % 1.17/1.37 % Result :Theorem 0.749514s % 1.17/1.37 % Output :CNFRefutation 0.749514s % 1.17/1.37 %------------------------------------------- % 1.17/1.38 %------------------------------------------------------------------------------ % 1.17/1.38 % File : LCL838-1 : TPTP v9.3.1. Released v4.1.0. % 1.17/1.38 % Domain : Logic Calculi % 1.17/1.38 % Problem : Strong normalization of typed lambda calculus 236_11 % 1.17/1.38 % Version : Especial. % 1.17/1.38 % English : % 1.17/1.38 % 1.17/1.38 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 1.17/1.38 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 1.17/1.38 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 1.17/1.38 % Source : [Nip10] % 1.17/1.38 % Names : StrongNorm-236_11 [Nip10] % 1.17/1.38 % 1.17/1.38 % Status : Unsatisfiable % 1.17/1.38 % Rating : 0.25 v9.3.0, 0.09 v9.1.0, 0.15 v9.0.0, 0.10 v8.2.0, 0.14 v8.1.0, 0.16 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.07 v6.0.0, 0.20 v5.5.0, 0.45 v5.3.0, 0.44 v5.2.0, 0.38 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0 % 1.17/1.38 % Syntax : Number of clauses : 442 ( 154 unt; 38 nHn; 248 RR) % 1.17/1.38 % Number of literals : 859 ( 311 equ; 411 neg) % 1.17/1.38 % Maximal clause size : 6 ( 1 avg) % 1.17/1.38 % Maximal term depth : 6 ( 2 avg) % 1.17/1.38 % Number of predicates : 33 ( 32 usr; 1 prp; 0-4 aty) % 1.17/1.38 % Number of functors : 62 ( 62 usr; 21 con; 0-5 aty) % 1.17/1.38 % Number of variables : 1177 ( 193 sgn) % 1.17/1.38 % SPC : CNF_UNS_RFO_SEQ_NHN % 1.17/1.38 % 1.17/1.38 % Comments : % 1.17/1.38 %------------------------------------------------------------------------------ % 1.17/1.38 cnf(cls_diff__less_0,axiom, % 1.17/1.38 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_zero__less__diff_1,axiom, % 1.17/1.38 ( 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) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_zero__less__diff_0,axiom, % 1.17/1.38 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.17/1.38 | ~ 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) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_nat__diff__split_0,axiom, % 1.17/1.38 ( hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_nat))) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_a,V_b,tc_nat) % 1.17/1.38 | ~ hBOOL(hAPP(V_P,c_HOL_Ominus__class_Ominus(V_a,V_b,tc_nat))) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_less__iff__diff__less__0_0,axiom, % 1.17/1.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.17/1.38 | 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) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_less__iff__diff__less__0_1,axiom, % 1.17/1.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.17/1.38 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.17/1.38 | ~ 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) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_add__diff__inverse_0,axiom, % 1.17/1.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat)) = V_m % 1.17/1.38 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_less__eqI_1,axiom, % 1.17/1.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.17/1.38 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.17/1.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_less__eqI_0,axiom, % 1.17/1.38 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 1.17/1.38 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.17/1.38 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_Cons__step1__Cons_5,axiom, % 1.17/1.38 ( c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_x,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) % 1.17/1.38 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_Cons__step1__Cons_1,axiom, % 1.17/1.38 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 1.17/1.38 | hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 1.17/1.38 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_list_Oinject_1,axiom, % 1.17/1.38 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 1.17/1.38 | V_list = V_list_H ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_list_Oinject_0,axiom, % 1.17/1.38 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 1.17/1.38 | V_a = V_a_H ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_less__diff__conv_1,axiom, % 1.17/1.38 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_less__diff__conv_0,axiom, % 1.17/1.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),V_j,tc_nat) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_foldr_Osimps_I2_J_0,axiom, % 1.17/1.38 c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_list_Osimps_I2_J_0,axiom, % 1.17/1.38 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_diffs0__imp__equal_0,axiom, % 1.17/1.38 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 1.17/1.38 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 1.17/1.38 | V_m = V_n ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_Cons__step1__Cons_3,axiom, % 1.17/1.38 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 1.17/1.38 | V_xs = V_ys % 1.17/1.38 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_less__imp__diff__less_0,axiom, % 1.17/1.38 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 1.17/1.38 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_diff__Suc__Suc_0,axiom, % 1.17/1.38 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) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_minus__nat_Odiff__0_0,axiom, % 1.17/1.38 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 1.17/1.38 % 1.17/1.38 cnf(cls_diff__self__eq__0_0,axiom, % 1.17/1.38 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 1.17/1.38 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.17/1.38 | ~ class_Int_Onumber__ring(T_a) % 1.17/1.38 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_diff__self_0,axiom, % 1.17/1.38 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.17/1.38 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.17/1.38 % 1.17/1.38 cnf(cls_diff__0__right_0,axiom, % 1.17/1.38 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.17/1.38 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_right__minus__eq_1,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__less__mono2_0,axiom, % 1.17/1.39 ( 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) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__Suc__1_0,axiom, % 1.17/1.39 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Cons__step1__Cons_4,axiom, % 1.17/1.39 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa)) % 1.17/1.39 | c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_x,T_a),c_List_Olist_OCons(V_xa,V_x,T_a),T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Cons__step1__Cons_2,axiom, % 1.17/1.39 ( V_x = V_y % 1.17/1.39 | V_xs = V_ys % 1.17/1.39 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__add__cancel_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.17/1.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)),V_b) = V_a ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Suc__length__conv_2,axiom, % 1.17/1.39 c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_nat__diff__split__asm_1,axiom, % 1.17/1.39 ( ~ 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))) % 1.17/1.39 | hBOOL(hAPP(V_P,V_x)) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_nat__diff__split_1,axiom, % 1.17/1.39 ( ~ 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))) % 1.17/1.39 | hBOOL(hAPP(V_P,V_d)) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_length__Suc__conv_2,axiom, % 1.17/1.39 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__less__Suc_0,axiom, % 1.17/1.39 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__add__0_0,axiom, % 1.17/1.39 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) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__diff__left_0,axiom, % 1.17/1.39 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) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_eq__eqI_1,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 1.17/1.39 | V_xa = V_y ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_eq__eqI_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 1.17/1.39 | V_x_H = V_y_H ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_foldl__Cons_0,axiom, % 1.17/1.39 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__0__eq__0_0,axiom, % 1.17/1.39 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__cancel2_0,axiom, % 1.17/1.39 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) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__cancel_0,axiom, % 1.17/1.39 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) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 1.17/1.39 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.17/1.39 | ~ class_Int_Onumber__ring(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.17/1.39 | V_x = V_y ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_right__minus__eq_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.17/1.39 | V_a = V_b ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.17/1.39 | V_a = V_b ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__commute_0,axiom, % 1.17/1.39 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) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_neq__Nil__conv_1,axiom, % 1.17/1.39 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_list_Osimps_I3_J_0,axiom, % 1.17/1.39 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Cons__step1__Cons_0,axiom, % 1.17/1.39 ( V_x = V_y % 1.17/1.39 | hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 1.17/1.39 | ~ c_ListOrder_Ostep1(V_r,c_List_Olist_OCons(V_y,V_ys,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Suc__diff__diff_0,axiom, % 1.17/1.39 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) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__Suc__eq__diff__pred_0,axiom, % 1.17/1.39 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_not__Cons__self2_0,axiom, % 1.17/1.39 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 1.17/1.39 % 1.17/1.39 cnf(cls_not__Cons__self_0,axiom, % 1.17/1.39 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__add__inverse2_0,axiom, % 1.17/1.39 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),V_n,tc_nat) = V_m ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__add__inverse_0,axiom, % 1.17/1.39 c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m),V_n,tc_nat) = V_m ). % 1.17/1.39 % 1.17/1.39 cnf(cls_add__diff__cancel_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 1.17/1.39 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),V_b,T_a) = V_a ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_diff__Suc__less_0,axiom, % 1.17/1.39 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Suc__pred_0,axiom, % 1.17/1.39 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_shift__lt_0,axiom, % 1.17/1.39 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Suc__inject_0,axiom, % 1.17/1.39 ( c_Suc(V_x) != c_Suc(V_y) % 1.17/1.39 | V_x = V_y ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_nat_Oinject_0,axiom, % 1.17/1.39 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 1.17/1.39 | V_nat = V_nat_H ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_foldr__conv__foldl_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 1.17/1.39 | 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) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_One__nat__def_0,axiom, % 1.17/1.39 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_r__into__rtranclp_0,axiom, % 1.17/1.39 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) % 1.17/1.39 | ~ hBOOL(hAPP(hAPP(V_r,V_x),V_y)) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_not__Nil__step1_0,axiom, % 1.17/1.39 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_not__step1__Nil_0,axiom, % 1.17/1.39 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_one__is__add_1,axiom, % 1.17/1.39 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 1.17/1.39 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.17/1.39 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_one__is__add_2,axiom, % 1.17/1.39 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 1.17/1.39 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 1.17/1.39 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_one__neq__zero_0,axiom, % 1.17/1.39 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.17/1.39 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_conversep__eq_0,axiom, % 1.17/1.39 c_Predicate_Oconversep(c_fequal(T_a),T_a,T_a) = c_fequal(T_a) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_less__SucE_0,axiom, % 1.17/1.39 ( V_m = V_n % 1.17/1.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_less__antisym_0,axiom, % 1.17/1.39 ( V_m = V_n % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 1.17/1.39 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_not__less__less__Suc__eq_0,axiom, % 1.17/1.39 ( V_n = V_m % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 1.17/1.39 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_one__is__add_4,axiom, % 1.17/1.39 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)) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_liftn_Osimps_I3_J_0,axiom, % 1.17/1.39 c_Lambda_Oliftn(V_n,c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Oliftn(V_n,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_add__strict__mono_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.17/1.39 | 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) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_add__less__mono_0,axiom, % 1.17/1.39 ( 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) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_nat_Osimps_I3_J_0,axiom, % 1.17/1.39 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_Suc__neq__Zero_0,axiom, % 1.17/1.39 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_lessI_0,axiom, % 1.17/1.39 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_less__Suc__eq_2,axiom, % 1.17/1.39 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_less__trans__Suc_0,axiom, % 1.17/1.39 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 1.17/1.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_foldl__foldr1_0,axiom, % 1.17/1.39 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.17/1.39 | 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) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_less__add__one_0,axiom, % 1.17/1.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.17/1.39 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 1.17/1.39 % 1.17/1.39 cnf(cls_conversep__conversep_0,axiom, % 1.17/1.39 c_Predicate_Oconversep(c_Predicate_Oconversep(V_r,T_a,T_b),T_b,T_a) = V_r ). % 1.17/1.39 % 1.17/1.40 cnf(cls_not__add__less1_0,axiom, % 1.17/1.40 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_not__add__less2_0,axiom, % 1.17/1.40 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_Suc__n__not__n_0,axiom, % 1.17/1.40 c_Suc(V_n) != V_n ). % 1.17/1.40 % 1.17/1.40 cnf(cls_n__not__Suc__n_0,axiom, % 1.17/1.40 V_n != c_Suc(V_n) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__strict__right__mono_0,axiom, % 1.17/1.40 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.17/1.40 | 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) % 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__less__cancel__right_1,axiom, % 1.17/1.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.17/1.40 | 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) % 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__less__cancel__right_0,axiom, % 1.17/1.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.17/1.40 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.17/1.40 | ~ 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) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__strict__left__mono_0,axiom, % 1.17/1.40 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 1.17/1.40 | 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) % 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__less__cancel__left_1,axiom, % 1.17/1.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.17/1.40 | 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) % 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__less__cancel__left_0,axiom, % 1.17/1.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 1.17/1.40 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.17/1.40 | ~ 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) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__less__mono1_0,axiom, % 1.17/1.40 ( 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) % 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_nat__add__left__cancel__less_0,axiom, % 1.17/1.40 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.17/1.40 | ~ 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) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_nat__add__left__cancel__less_1,axiom, % 1.17/1.40 ( 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) % 1.17/1.40 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_add__is__1_5,axiom, % 1.17/1.40 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)) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_Suc__lessD_0,axiom, % 1.17/1.40 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.17/1.40 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 1.17/1.40 % 1.17/1.40 cnf(cls_less__SucI_0,axiom, % 1.28/1.40 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_of__nat__add_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.28/1.40 | 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)) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__is__1_1,axiom, % 1.28/1.40 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.28/1.40 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.28/1.40 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__is__1_2,axiom, % 1.28/1.40 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.28/1.40 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 1.28/1.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_dB_Osize_I2_J_0,axiom, % 1.28/1.40 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))) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_lift_Osimps_I3_J_0,axiom, % 1.28/1.40 c_Lambda_Olift(c_Lambda_OdB_OAbs(V_s),V_k) = c_Lambda_OdB_OAbs(c_Lambda_Olift(V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_dB_Osize_I3_J_0,axiom, % 1.28/1.40 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))) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_converse__rtranclp__into__rtranclp_0,axiom, % 1.28/1.40 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c)) % 1.28/1.40 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_c)) % 1.28/1.40 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_rtranclp_Ortrancl__into__rtrancl_0,axiom, % 1.28/1.40 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_c)) % 1.28/1.40 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_c)) % 1.28/1.40 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_b)) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_accp_Ocases_0,axiom, % 1.28/1.40 ( c_Wellfounded_Oaccp(V_r,V_y,T_a) % 1.28/1.40 | ~ hBOOL(hAPP(hAPP(V_r,V_y),V_a)) % 1.28/1.40 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_accp__downward_0,axiom, % 1.28/1.40 ( c_Wellfounded_Oaccp(V_r,V_a,T_a) % 1.28/1.40 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) % 1.28/1.40 | ~ c_Wellfounded_Oaccp(V_r,V_b,T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_list__app__typeE_1,axiom, % 1.28/1.40 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts)) % 1.28/1.40 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_list__app__typeD_1,axiom, % 1.28/1.40 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts)) % 1.28/1.40 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_lift__subst_0,axiom, % 1.28/1.40 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat))),c_Lambda_Olift(V_s,V_i),V_j) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_j,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_lift__subst__lt_0,axiom, % 1.28/1.40 ( c_Lambda_Olift(c_Lambda_Osubst(V_t,V_s,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Olift(V_t,V_i),c_Lambda_Olift(V_s,V_i),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat))) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_lift_Osimps_I1_J_1,axiom, % 1.28/1.40 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),c_HOL_Oone__class_Oone(tc_nat))) % 1.28/1.40 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_var__app__types_0,axiom, % 1.28/1.40 ( 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) % 1.28/1.40 | ~ 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) % 1.28/1.40 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 1.28/1.40 | ~ 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) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 1.28/1.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.28/1.40 | 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 1.28/1.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.28/1.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 1.28/1.40 | ~ 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) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_of__nat__less__0__iff_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.40 | ~ 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) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__neg__neg_0,axiom, % 1.28/1.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.28/1.40 | 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 1.28/1.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.28/1.40 | 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 1.28/1.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.28/1.40 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.28/1.40 | ~ 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) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_even__less__0__iff_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.28/1.40 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 1.28/1.40 | ~ 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) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_even__less__0__iff_1,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.28/1.40 | 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_not__one__less__zero_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__pos__pos_0,axiom, % 1.28/1.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 1.28/1.40 | 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_zero__less__one_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_pos__add__strict_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.40 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_of__nat__0_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.28/1.40 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_of__nat__less__iff_1,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.40 | 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_of__nat__less__iff_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.40 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.28/1.40 | ~ 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) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__gr__0_1,axiom, % 1.28/1.40 ( 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__gr__0_2,axiom, % 1.28/1.40 ( 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) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_gr0__conv__Suc_1,axiom, % 1.28/1.40 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_zero__less__Suc_0,axiom, % 1.28/1.40 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__gr__0_0,axiom, % 1.28/1.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 1.28/1.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 1.28/1.40 | ~ 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) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_less__Suc0_0,axiom, % 1.28/1.40 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_less__Suc0_1,axiom, % 1.28/1.40 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_length__0__conv_1,axiom, % 1.28/1.40 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_length__0__conv_0,axiom, % 1.28/1.40 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat) % 1.28/1.40 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_substn_Osimps_I1_J_0,axiom, % 1.28/1.40 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_list_Osize_I2_J_0,axiom, % 1.28/1.40 c_List_Olist_Olist__size(V_fa,c_List_Olist_OCons(V_a,V_list,T_a),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(V_fa,V_a)),c_List_Olist_Olist__size(V_fa,V_list,T_a))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_subst__gt_0,axiom, % 1.28/1.40 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_j,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_subst__Var_0,axiom, % 1.28/1.40 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_type_Osize_I2_J_0,axiom, % 1.28/1.40 c_Type_Otype_Otype__size(hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Type_Otype_Otype__size(V_type1)),c_Type_Otype_Otype__size(V_type2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_type_Osize_I4_J_0,axiom, % 1.28/1.40 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),tc_Type_Otype) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_type1,tc_Type_Otype)),c_Nat_Osize__class_Osize(V_type2,tc_Type_Otype))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__eq__if_1,axiom, % 1.28/1.40 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),V_n)) % 1.28/1.40 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_Suc__diff__1_0,axiom, % 1.28/1.40 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_Suc__pred_H_0,axiom, % 1.28/1.40 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 1.28/1.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_list_Osize_I4_J_0,axiom, % 1.28/1.40 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_list,tc_List_Olist(T_a))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_double__eq__0__iff_0,axiom, % 1.28/1.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.28/1.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 1.28/1.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__is__0_1,axiom, % 1.28/1.40 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 1.28/1.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__is__0_0,axiom, % 1.28/1.40 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 1.28/1.40 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 1.28/1.40 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) % 1.28/1.40 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_add__eq__self__zero_0,axiom, % 1.28/1.40 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m % 1.28/1.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.40 % 1.28/1.40 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 1.28/1.40 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.28/1.40 | ~ class_Int_Onumber__ring(T_a) % 1.28/1.40 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 1.28/1.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 1.28/1.40 % 1.28/1.41 cnf(cls_of__nat__eq__iff_0,axiom, % 1.28/1.41 ( ~ class_Nat_Osemiring__char__0(T_a) % 1.28/1.41 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 1.28/1.41 | V_m = V_n ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_foldl__assoc_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Oadd__c_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_less__add__eq__less_0,axiom, % 1.28/1.41 ( 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) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 1.28/1.41 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_nat__add__commute_0,axiom, % 1.28/1.41 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) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_substn_Osimps_I3_J_0,axiom, % 1.28/1.41 c_Lambda_Osubstn(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubstn(V_t,V_s,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_trans__less__add2_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_trans__less__add1_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__lessD1_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_less__iff__Suc__add_1,axiom, % 1.28/1.41 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_less__add__Suc2_0,axiom, % 1.28/1.41 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_less__add__Suc1_0,axiom, % 1.28/1.41 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Zero__neq__Suc_0,axiom, % 1.28/1.41 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_nat_Osimps_I2_J_0,axiom, % 1.28/1.41 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__Suc_0,axiom, % 1.28/1.41 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)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__Suc__right_0,axiom, % 1.28/1.41 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)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_termi__implies__IT_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(c_InductTermi_OIT,V_r)) % 1.28/1.41 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_r,tc_Lambda_OdB) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_IT__implies__termi_0,axiom, % 1.28/1.41 ( c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_t,tc_Lambda_OdB) % 1.28/1.41 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtranclp__trans_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_z)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_z)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_y)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_accp__downwards__aux_0,axiom, % 1.28/1.41 ( c_Wellfounded_Oaccp(V_r,V_b,T_a) % 1.28/1.41 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_accp__downwards_0,axiom, % 1.28/1.41 ( c_Wellfounded_Oaccp(V_r,V_b,T_a) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_b),V_a)) % 1.28/1.41 | ~ c_Wellfounded_Oaccp(V_r,V_a,T_a) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Nitpick_Ortranclp__def_1,axiom, % 1.28/1.41 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_x),V_x)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtranclp_Ortrancl__refl_0,axiom, % 1.28/1.41 hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_a),V_a)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_listsp_ONil_0,axiom, % 1.28/1.41 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__is__1_4,axiom, % 1.28/1.41 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)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Suc__eq__plus1__left_0,axiom, % 1.28/1.41 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Oone__class_Oone(tc_nat)),V_n) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Suc__eq__plus1_0,axiom, % 1.28/1.41 c_Suc(V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),c_HOL_Oone__class_Oone(tc_nat)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_double__eq__0__iff_1,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__is__0_2,axiom, % 1.28/1.41 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) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Oadd__a_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__cancel__21_1,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_nat__add__left__commute_0,axiom, % 1.28/1.41 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)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_nat__add__assoc_0,axiom, % 1.28/1.41 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)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_conversep_Ointros_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_b),V_a)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(V_r,V_a),V_b)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_conversep_Ocases_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(V_r,V_a2),V_a1)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a1),V_a2)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_conversep__iff_1,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(V_r,V_b),V_a)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_conversepD_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(V_r,V_b),V_a)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(V_r,T_a,T_b),V_a),V_b)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__cancel__21_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 1.28/1.41 | 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) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_foldr_Osimps_I1_J_0,axiom, % 1.28/1.41 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ). % 1.28/1.41 % 1.28/1.41 cnf(cls_one__is__add_5,axiom, % 1.28/1.41 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))) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_of__nat__1_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.28/1.41 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_zero__neq__one_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 1.28/1.41 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_one__is__add_3,axiom, % 1.28/1.41 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 1.28/1.41 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.28/1.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_one__is__add_0,axiom, % 1.28/1.41 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 1.28/1.41 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 1.28/1.41 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_of__nat__Suc_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 1.28/1.41 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__Suc__shift_0,axiom, % 1.28/1.41 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)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtranclp__converseD_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtranclp__converseI_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(V_r,T_a,T_a),T_a),V_x),V_y)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(V_r,T_a),V_y),V_x)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_dB_Osize_I5_J_0,axiom, % 1.28/1.41 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))) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_foldl__foldr1__lemma_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Suc__lessI_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 1.28/1.41 | c_Suc(V_m) = V_n % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_natgb_Oadd__cancel_0,axiom, % 1.28/1.41 ( 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) % 1.28/1.41 | V_y = V_z ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_nat__add__right__cancel_0,axiom, % 1.28/1.41 ( 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) % 1.28/1.41 | V_m = V_n ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_nat__add__left__cancel_0,axiom, % 1.28/1.41 ( 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) % 1.28/1.41 | V_m = V_n ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.28/1.41 | ~ class_Int_Onumber__ring(T_a) % 1.28/1.41 | 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) % 1.28/1.41 | V_y = V_z ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__imp__eq_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 1.28/1.41 | 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) % 1.28/1.41 | V_b = V_c ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__left__cancel_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.28/1.41 | 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) % 1.28/1.41 | V_b = V_c ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__right__cancel_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 1.28/1.41 | 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) % 1.28/1.41 | V_b = V_c ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_subst__subst_0,axiom, % 1.28/1.41 ( c_Lambda_Osubst(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_v,V_i),c_Suc(V_j)),c_Lambda_Osubst(V_u,V_v,V_j),V_i) = c_Lambda_Osubst(c_Lambda_Osubst(V_t,V_u,V_i),V_v,V_j) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__is__1_3,axiom, % 1.28/1.41 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.28/1.41 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.28/1.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__is__1_0,axiom, % 1.28/1.41 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 1.28/1.41 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 1.28/1.41 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | 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)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_dB_Osize_I6_J_0,axiom, % 1.28/1.41 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))) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_not__less__less__Suc__eq_1,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 1.28/1.41 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_not__less__eq_1,axiom, % 1.28/1.41 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_not__less__eq_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 1.28/1.41 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_lift__lift_0,axiom, % 1.28/1.41 ( c_Lambda_Olift(c_Lambda_Olift(V_t,V_i),c_Suc(V_k)) = c_Lambda_Olift(c_Lambda_Olift(V_t,V_k),V_i) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_zero__less__two_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.41 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtranclp__idemp_0,axiom, % 1.28/1.41 c_Transitive__Closure_Ortranclp(c_Transitive__Closure_Ortranclp(V_r,T_a),T_a) = c_Transitive__Closure_Ortranclp(V_r,T_a) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Oadd__0_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 1.28/1.41 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_plus__nat_Oadd__0_0,axiom, % 1.28/1.41 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Nat_Oadd__0__right_0,axiom, % 1.28/1.41 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Oidom(T_a) % 1.28/1.41 | ~ class_Int_Onumber__ring(T_a) % 1.28/1.41 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_add__0__left_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 1.28/1.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 1.28/1.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Suc__less__eq_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Suc__mono_0,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 1.28/1.41 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_Nitpick_Olist__size__simp_I1_J_0,axiom, % 1.28/1.41 c_List_Olist_Olist__size(V_f,c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_list_Osize_I1_J_0,axiom, % 1.28/1.41 c_List_Olist_Olist__size(V_fa,c_List_Olist_ONil(T_a),T_a) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_foldl__absorb0_0,axiom, % 1.28/1.41 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 1.28/1.41 | 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtrancl__beta__App_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t_H))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtrancl__beta__AppL_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s_H),V_t))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtrancl__beta__AppR_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t_H))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_beta__cases_I2_J_0,axiom, % 1.28/1.41 ( V_s = c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(V_r,V_s)) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_r)),V_s)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_rtrancl__beta__Abs_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_s_H))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_s),V_s_H)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_beta__cases_I2_J_1,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),c_Lambda_Osko__Lambda__Xbeta__cases__2__1(V_r,V_s))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_r)),V_s)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_dB_Osize_I1_J_0,axiom, % 1.28/1.41 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_dB_Osize_I4_J_0,axiom, % 1.28/1.41 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_subst__preserves__beta2_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_subst__preserves__beta_H_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_subst__preserves__beta2_H_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Osubst(V_t,V_r,V_i)),c_Lambda_Osubst(V_t,V_s,V_i))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_head__Var__reduction_0,axiom, % 1.28/1.41 ( c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_subst__Abs_0,axiom, % 1.28/1.41 c_Lambda_Osubst(c_Lambda_OdB_OAbs(V_t),V_s,V_k) = c_Lambda_OdB_OAbs(c_Lambda_Osubst(V_t,c_Lambda_Olift(V_s,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),c_HOL_Oone__class_Oone(tc_nat)))) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_var__app__types_1,axiom, % 1.28/1.41 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us)) % 1.28/1.41 | ~ 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) % 1.28/1.41 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 1.28/1.41 | ~ 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_var__app__typesE_1,axiom, % 1.28/1.41 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts)) % 1.28/1.41 | ~ 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_subject__reduction_H_0,axiom, % 1.28/1.41 ( c_Type_Otyping(V_e,V_t_H,V_T) % 1.28/1.41 | ~ c_Type_Otyping(V_e,V_t,V_T) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_t),V_t_H)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_list__app__typeD_0,axiom, % 1.28/1.41 ( 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)) % 1.28/1.41 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_list__app__typeI_0,axiom, % 1.28/1.41 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) % 1.28/1.41 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 1.28/1.41 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_list__app__typeE_0,axiom, % 1.28/1.41 ( 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)) % 1.28/1.41 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_lift__preserves__beta_H_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_shift__commute_0,axiom, % 1.28/1.41 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) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_liftn__lift_0,axiom, % 1.28/1.41 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) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_var__app__typesE_0,axiom, % 1.28/1.41 ( 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)) % 1.28/1.41 | ~ 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) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_length__greater__0__conv_0,axiom, % 1.28/1.41 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_length__greater__0__conv_1,axiom, % 1.28/1.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) % 1.28/1.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_double__induction__lemma_0,axiom, % 1.28/1.41 ( ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB) % 1.28/1.41 | ~ c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),V_s,tc_Lambda_OdB) % 1.28/1.41 | c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),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),tc_Lambda_OdB) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_apps__preserves__betas_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) % 1.28/1.41 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_apps__preserves__beta2_0,axiom, % 1.28/1.41 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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))) % 1.28/1.41 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),V_r),V_s)) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_App__eq__foldl__conv_2,axiom, % 1.28/1.41 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) % 1.28/1.41 | V_r = c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(V_r,V_s,V_t,V_ts),tc_Lambda_OdB,tc_Lambda_OdB) % 1.28/1.41 | V_ts = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 1.28/1.41 % 1.28/1.41 cnf(cls_liftn_Osimps_I1_J_1,axiom, % 1.28/1.41 ( 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)) % 1.28/1.41 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 1.28/1.41 % 1.28/1.42 cnf(cls_of__nat__0__less__iff_1,axiom, % 1.28/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.42 | 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) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_of__nat__0__less__iff_0,axiom, % 1.28/1.42 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 1.28/1.42 | ~ 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) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_head__Var__reduction_1,axiom, % 1.28/1.42 ( V_v = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(V_n,V_rs,V_v),tc_Lambda_OdB,tc_Lambda_OdB) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB)),V_v)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_IT_OVar_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB))) % 1.28/1.42 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_app__Var__IT_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i)))) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_substn_Osimps_I1_J_1,axiom, % 1.28/1.42 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 1.28/1.42 | 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)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Var__eq__apps__conv_1,axiom, % 1.28/1.42 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 1.28/1.42 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_lift__preserves__beta_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Olift(V_r,V_i)),c_Lambda_Olift(V_s,V_i))) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_lift_Osimps_I1_J_0,axiom, % 1.28/1.42 ( c_Lambda_Olift(c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__lift_0,axiom, % 1.28/1.42 c_Lambda_Osubst(c_Lambda_Olift(V_t,V_k),V_s,V_k) = V_t ). % 1.28/1.42 % 1.28/1.42 cnf(cls_liftn_Osimps_I1_J_0,axiom, % 1.28/1.42 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_uIT_0,axiom, % 1.28/1.42 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__Var_1,axiom, % 1.28/1.42 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 1.28/1.42 | c_Lambda_Osubst(c_Lambda_OdB_OVar(V_x),V_s,V_x) = V_s ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I10_J_0,axiom, % 1.28/1.42 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_not__less0_0,axiom, % 1.28/1.42 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_gr__implies__not0_0,axiom, % 1.28/1.42 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Var__eq__apps__conv_2,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_xt1_I10_J_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Oorder(T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_order__less__trans_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_substn__subst__n_0,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Beta_I6_J_0,axiom, % 1.28/1.42 hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__Var_2,axiom, % 1.28/1.42 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 1.28/1.42 | V_i = V_k % 1.28/1.42 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__preserves__beta_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_Osubst(V_r,V_t,V_i)),c_Lambda_Osubst(V_s,V_t,V_i))) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Var__IT_0,axiom, % 1.28/1.42 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_IT_OBeta_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s)) % 1.28/1.42 | ~ hBOOL(hAPP(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))) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_foldl__Nil_0,axiom, % 1.28/1.42 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ). % 1.28/1.42 % 1.28/1.42 cnf(cls_substn_Osimps_I1_J_2,axiom, % 1.28/1.42 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 1.28/1.42 | V_i = V_k % 1.28/1.42 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_lift__IT_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(V_t,V_i))) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Orecs_I1_J_0,axiom, % 1.28/1.42 c_Lambda_OdB_OdB__rec(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Var__eq__apps__conv_0,axiom, % 1.28/1.42 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 1.28/1.42 | c_Lambda_OdB_OVar(V_m) = V_s ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_apps__preserves__beta_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(hAPP(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))) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_nat__less__le_1,axiom, % 1.28/1.42 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_less__not__refl_0,axiom, % 1.28/1.42 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_order__less__le_1,axiom, % 1.28/1.42 ( ~ class_Orderings_Oorder(T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_linorder__neq__iff_1,axiom, % 1.28/1.42 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_order__less__irrefl_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_beta_0,axiom, % 1.28/1.42 hBOOL(hAPP(hAPP(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)))) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 1.28/1.42 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.42 | V_x = V_y ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.42 | V_x = V_y % 1.28/1.42 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_nat__neq__iff_0,axiom, % 1.28/1.42 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 1.28/1.42 | V_m = V_n ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_nat__less__cases_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 1.28/1.42 | V_m = V_n % 1.28/1.42 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_linorder__neqE__nat_0,axiom, % 1.28/1.42 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 1.28/1.42 | V_x = V_y ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_linorder__neqE_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.42 | V_x = V_y ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_linorder__less__linear_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.42 | V_x = V_y % 1.28/1.42 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_linorder__antisym__conv3_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.42 | V_x = V_y % 1.28/1.42 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.42 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_beta__cases_I1_J_0,axiom, % 1.28/1.42 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_App__eq__foldl__conv_0,axiom, % 1.28/1.42 ( 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) % 1.28/1.42 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_gr0I_0,axiom, % 1.28/1.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 1.28/1.42 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_liftn__0_0,axiom, % 1.28/1.42 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ). % 1.28/1.42 % 1.28/1.42 cnf(cls_neq0__conv_1,axiom, % 1.28/1.42 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_substn__subst__0_0,axiom, % 1.28/1.42 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)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__lt_0,axiom, % 1.28/1.42 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(V_j),V_u,V_i) = c_Lambda_OdB_OVar(V_j) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__Var__IT_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_r,c_Lambda_OdB_OVar(V_i),V_j))) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_type_Osimps_I2_J_1,axiom, % 1.28/1.42 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 1.28/1.42 | V_type2 = V_type2_H ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_type_Osimps_I2_J_0,axiom, % 1.28/1.42 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 1.28/1.42 | V_type1 = V_type1_H ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__eq_0,axiom, % 1.28/1.42 c_Lambda_Osubst(c_Lambda_OdB_OVar(V_k),V_u,V_k) = V_u ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom, % 1.28/1.42 ( 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) % 1.28/1.42 | V_rs = V_ss ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom, % 1.28/1.42 ( 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) % 1.28/1.42 | V_m = V_n ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_typing__elims_I3_J_0,axiom, % 1.28/1.42 ( 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)) % 1.28/1.42 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osplit_0,axiom, % 1.28/1.42 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_nat),t_a))) % 1.28/1.42 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osplit__asm_0,axiom, % 1.28/1.42 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OVar(V_xd),t_a))) % 1.28/1.42 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xd))) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I1_J_0,axiom, % 1.28/1.42 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 1.28/1.42 | V_nat = V_nat_H ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_App__eq__foldl__conv_4,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_xt1_I9_J_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Oorder(T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 1.28/1.42 ( ~ class_Orderings_Olinorder(T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_order__less__asym_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_order__less__asym_H_0,axiom, % 1.28/1.42 ( ~ class_Orderings_Opreorder(T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_lift__type_0,axiom, % 1.28/1.42 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_Lambda_Olift(V_t,V_i),V_T) % 1.28/1.42 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_SI2_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(v_a____,V_u,V_i))) % 1.28/1.42 | ~ c_Type_Otyping(V_e,V_u,v_T____) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),v_a____,V_T_H) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_uT_0,axiom, % 1.28/1.42 c_Type_Otyping(v_e____,v_u____,v_T____) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Beta_I3_J_0,axiom, % 1.28/1.42 hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__App_0,axiom, % 1.28/1.42 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)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I7_J_0,axiom, % 1.28/1.42 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I8_J_0,axiom, % 1.28/1.42 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Beta_I1_J_0,axiom, % 1.28/1.42 hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r____,v_a____,c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I9_J_0,axiom, % 1.28/1.42 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subject__reduction_0,axiom, % 1.28/1.42 ( c_Type_Otyping(V_e,V_t_H,V_T) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H)) % 1.28/1.42 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osplit__asm_1,axiom, % 1.28/1.42 ( ~ 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))) % 1.28/1.42 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xb),V_xc))) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osplit_1,axiom, % 1.28/1.42 ( ~ 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))) % 1.28/1.42 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_dB1),V_dB2))) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osplit__asm_2,axiom, % 1.28/1.42 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_xa),t_a))) % 1.28/1.42 | hBOOL(hAPP(V_P,hAPP(V_f3,V_xa))) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osplit_2,axiom, % 1.28/1.42 ( ~ hBOOL(hAPP(V_P,c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),t_a))) % 1.28/1.42 | hBOOL(hAPP(V_P,hAPP(V_f3,V_dB))) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_shift__gt_0,axiom, % 1.28/1.42 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j) % 1.28/1.42 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Orecs_I3_J_0,axiom, % 1.28/1.42 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)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_SI1_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r____,v_a____,c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),V_u,V_i))) % 1.28/1.42 | ~ c_Type_Otyping(V_e,V_u,v_T____) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(v_r____,v_a____,c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),V_T_H) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_App_0,axiom, % 1.28/1.42 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U) % 1.28/1.42 | ~ c_Type_Otyping(V_env,V_t,V_T) % 1.28/1.42 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_apps__eq__Abs__conv_0,axiom, % 1.28/1.42 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 1.28/1.42 | V_s = c_Lambda_OdB_OAbs(V_r) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom, % 1.28/1.42 ( 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) % 1.28/1.42 | V_r = V_s ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom, % 1.28/1.42 ( 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) % 1.28/1.42 | V_rs = V_ss ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I2_J_0,axiom, % 1.28/1.42 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 1.28/1.42 | V_dB1 = V_dB1_H ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I2_J_1,axiom, % 1.28/1.42 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 1.28/1.42 | V_dB2 = V_dB2_H ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_var__app__type__eq_0,axiom, % 1.28/1.42 ( V_T = V_U % 1.28/1.42 | ~ 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) % 1.28/1.42 | ~ 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) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Abs__eq__apps__conv_1,axiom, % 1.28/1.42 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 1.28/1.42 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I4_J_0,axiom, % 1.28/1.42 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I3_J_0,axiom, % 1.28/1.42 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 1.28/1.42 | V_dB = V_dB_H ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Var__apps__neq__Abs__apps_0,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_MI2_0,axiom, % 1.28/1.42 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 1.28/1.42 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i))) % 1.28/1.42 | ~ c_Type_Otyping(V_e,V_u,V_T2) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_MI1_0,axiom, % 1.28/1.42 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 1.28/1.42 | hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Osubst(V_t,V_u,V_i))) % 1.28/1.42 | ~ c_Type_Otyping(V_e,V_u,V_T1) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_shift__eq_0,axiom, % 1.28/1.42 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Abs_0,axiom, % 1.28/1.42 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I6_J_0,axiom, % 1.28/1.42 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_typing__elims_I1_J_0,axiom, % 1.28/1.42 ( hAPP(V_e,V_i) = V_T % 1.28/1.42 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_lift_Osimps_I2_J_0,axiom, % 1.28/1.42 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)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_abs__typeE_0,axiom, % 1.28/1.42 ( 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)) % 1.28/1.42 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Beta_I7_J_0,axiom, % 1.28/1.42 c_Type_Otyping(v_ea______,v_ua______,v_T____) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Beta_I5_J_0,axiom, % 1.28/1.42 c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I12_J_0,axiom, % 1.28/1.42 c_Lambda_OdB_OdB__case(V_f1,V_f2,V_f3,c_Lambda_OdB_OAbs(V_dB),T_a) = hAPP(V_f3,V_dB) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I11_J_0,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_typing__elims_I3_J_1,axiom, % 1.28/1.42 ( 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)) % 1.28/1.42 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OAbs(V_t),V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_typing__elims_I2_J_1,axiom, % 1.28/1.42 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)) % 1.28/1.42 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_T_0,axiom, % 1.28/1.42 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Abs__eq__apps__conv_2,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_typing_OVar_0,axiom, % 1.28/1.42 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Abs__eq__apps__conv_0,axiom, % 1.28/1.42 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 1.28/1.42 | c_Lambda_OdB_OAbs(V_r) = V_s ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_that_0,axiom, % 1.28/1.42 ( v_thesis____ % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),V_U) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Orecs_I2_J_0,axiom, % 1.28/1.42 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)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_apps__eq__Abs__conv_1,axiom, % 1.28/1.42 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 1.28/1.42 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_apps__eq__tail__conv_0,axiom, % 1.28/1.42 ( 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) % 1.28/1.42 | V_r = V_s ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Lambda_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r))) % 1.28/1.42 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_appR_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_s)),hAPP(hAPP(c_Lambda_OdB_OApp,V_u),V_t))) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_appL_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_u)),hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u))) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_liftn_Osimps_I2_J_0,axiom, % 1.28/1.42 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)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_apps__eq__Abs__conv_2,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_subst__lemma_0,axiom, % 1.28/1.42 ( ~ c_Type_Otyping(V_e_H,V_u,V_U) % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T) % 1.28/1.42 | c_Type_Otyping(V_e_H,c_Lambda_Osubst(V_t,V_u,V_i),V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_Abs__App__neq__Var__apps_0,axiom, % 1.28/1.42 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) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_abs_0,axiom, % 1.28/1.42 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t))) % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_substn_Osimps_I2_J_0,axiom, % 1.28/1.42 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)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_typing__elims_I2_J_0,axiom, % 1.28/1.42 ( 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)) % 1.28/1.42 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_dB_Osimps_I5_J_0,axiom, % 1.28/1.42 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_CHAINED_0,axiom, % 1.28/1.42 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_conjecture_0,negated_conjecture, % 1.28/1.42 ~ v_thesis____ ). % 1.28/1.42 % 1.28/1.42 cnf(cls_conjecture_1,negated_conjecture, % 1.28/1.42 ( v_thesis____ % 1.28/1.42 | ~ c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),V_x) ) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 1.28/1.42 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 1.28/1.42 | ~ class_Orderings_Opreorder(T_1) ) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_fun__Orderings_Oorder,axiom, % 1.28/1.42 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 1.28/1.42 | ~ class_Orderings_Oorder(T_1) ) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 1.28/1.42 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 1.28/1.42 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 1.28/1.42 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 1.28/1.42 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 1.28/1.42 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 1.28/1.42 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 1.28/1.42 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 1.28/1.42 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 1.28/1.42 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 1.28/1.42 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 1.28/1.42 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 1.28/1.42 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 1.28/1.42 class_OrderedGroup_Omonoid__add(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 1.28/1.42 class_Nat_Osemiring__char__0(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 1.28/1.42 class_Orderings_Opreorder(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 1.28/1.42 class_Orderings_Olinorder(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_nat__Orderings_Oorder,axiom, % 1.28/1.42 class_Orderings_Oorder(tc_nat) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_bool__Orderings_Opreorder,axiom, % 1.28/1.42 class_Orderings_Opreorder(tc_bool) ). % 1.28/1.42 % 1.28/1.42 cnf(clsarity_bool__Orderings_Oorder,axiom, % 1.28/1.42 class_Orderings_Oorder(tc_bool) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 1.28/1.42 hBOOL(hAPP(hAPP(c_fequal(T_a),V_x),V_x)) ). % 1.28/1.42 % 1.28/1.42 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 1.28/1.42 ( V_X = V_Y % 1.28/1.42 | ~ hBOOL(hAPP(hAPP(c_fequal(T_a),V_X),V_Y)) ) ). % 1.28/1.42 % 1.28/1.42 %------------------------------------------------------------------------------ % 1.28/1.42 %------------------------------------------- % 1.28/1.42 % Proof found % 1.28/1.42 % SZS status Theorem for theBenchmark % 1.28/1.42 % SZS output start Proof % 1.28/1.42 %ClaNum:591(EqnAxiom:151) % 1.28/1.42 %VarNum:2263(SingletonVarNum:1016) % 1.28/1.42 %MaxLitNum:6 % 1.28/1.42 %MaxfuncDepth:5 % 1.28/1.42 %SharedTerms:82 % 1.28/1.42 %goalClause: 273 532 % 1.28/1.42 %singleGoalClaCount:1 % 1.28/1.42 [152]P1(a1) % 1.28/1.42 [153]P11(a1) % 1.28/1.42 [154]P12(a1) % 1.28/1.42 [155]P13(a1) % 1.28/1.42 [156]P21(a1) % 1.28/1.42 [157]P19(a1) % 1.28/1.42 [158]P30(a1) % 1.28/1.42 [159]P22(a1) % 1.28/1.42 [160]P2(a1) % 1.28/1.42 [161]P23(a1) % 1.28/1.42 [162]P24(a1) % 1.28/1.42 [163]P14(a1) % 1.28/1.42 [164]P15(a1) % 1.28/1.42 [165]P16(a1) % 1.28/1.42 [166]P25(a1) % 1.28/1.42 [167]P25(a2) % 1.28/1.42 [168]P27(a1) % 1.28/1.42 [169]P27(a2) % 1.28/1.42 [170]P26(a1) % 1.28/1.42 [178]P3(a54,a49,a51) % 1.28/1.42 [179]P3(a56,a60,a51) % 1.28/1.42 [273]~P32(a5000) % 1.28/1.42 [173]P31(f29(a8,a49)) % 1.28/1.42 [174]P31(f29(a8,a60)) % 1.28/1.42 [175]P31(f29(a8,a50)) % 1.28/1.42 [267]P3(f35(a54,a57,a51,a47),f23(a11,f29(f29(a11,f9(a58)),a50),a55,a15,a15),a52) % 1.28/1.42 [268]P3(f35(a56,a59,a51,a47),f23(a11,f29(f29(a11,f9(a58)),a50),a55,a15,a15),a53) % 1.28/1.42 [271]P31(f29(a8,f23(a11,f20(a58,a50,f4(a1)),a55,a15,a15))) % 1.28/1.42 [287]~P5(x2871,x2871,a1) % 1.28/1.42 [184]E(f6(x1841,x1841,a1),f4(a1)) % 1.28/1.42 [291]~P5(x2911,f4(a1),a1) % 1.28/1.42 [171]E(f12(f3(x1711)),f4(a1)) % 1.28/1.42 [172]E(f16(f3(x1721),a15),f4(a1)) % 1.28/1.42 [176]E(f16(f17(x1761),f46(x1761)),f4(a1)) % 1.28/1.42 [177]P31(f29(a8,f3(x1771))) % 1.28/1.42 [181]E(f29(f29(f5(a1),x1811),f4(a1)),x1811) % 1.28/1.42 [185]E(f6(x1851,f4(a1),a1),x1851) % 1.28/1.42 [189]E(f6(f4(a1),x1891,a1),f4(a1)) % 1.28/1.42 [194]E(f31(f32(x1941),x1941,x1941),f32(x1941)) % 1.28/1.42 [204]P5(x2041,f29(f29(f5(a1),x2041),f7(a1)),a1) % 1.28/1.42 [206]P5(f4(a1),f29(f29(f5(a1),x2061),f7(a1)),a1) % 1.28/1.42 [281]~E(f29(f29(f5(a1),x2811),f7(a1)),x2811) % 1.28/1.42 [285]~E(f29(f29(f5(a1),x2851),f7(a1)),f4(a1)) % 1.28/1.42 [297]~P5(f4(a1),f16(f17(x2971),f46(x2971)),a1) % 1.28/1.42 [182]E(f29(f29(f5(a1),f4(a1)),x1821),x1821) % 1.28/1.42 [210]E(f29(f29(f5(a1),f12(x2101)),f29(f29(f5(a1),f4(a1)),f7(a1))),f12(f9(x2101))) % 1.28/1.42 [216]E(f29(f29(f5(a1),f16(x2161,a15)),f29(f29(f5(a1),f4(a1)),f7(a1))),f16(f9(x2161),a15)) % 1.28/1.42 [190]P4(x1901,f17(x1902),x1902) % 1.28/1.42 [196]P3(x1961,f3(x1962),f29(x1961,x1962)) % 1.28/1.42 [275]~E(f3(x2751),f9(x2752)) % 1.28/1.42 [183]E(f30(f30(x1831,x1832),x1832),f30(x1831,x1832)) % 1.28/1.42 [188]E(f18(f4(a1),x1881,x1882),x1881) % 1.28/1.42 [191]E(f20(f3(x1911),x1912,x1911),x1912) % 1.28/1.42 [193]E(f27(x1931,f17(x1932),x1932),f4(a1)) % 1.28/1.42 [217]E(f20(x2171,f18(f4(a1),x2172,f4(a1)),f4(a1)),f20(x2171,x2172,f4(a1))) % 1.28/1.42 [221]P5(f6(x2211,x2212,a1),f29(f29(f5(a1),x2211),f7(a1)),a1) % 1.28/1.42 [244]P5(x2441,f29(f29(f5(a1),f29(f29(f5(a1),x2442),x2441)),f7(a1)),a1) % 1.28/1.42 [246]P5(x2461,f29(f29(f5(a1),f29(f29(f5(a1),x2461),x2462)),f7(a1)),a1) % 1.28/1.42 [197]E(f29(f29(f5(a1),x1971),x1972),f29(f29(f5(a1),x1972),x1971)) % 1.28/1.42 [199]P31(f29(f29(f32(x1991),x1992),x1992)) % 1.28/1.42 [228]E(f6(x2281,f29(f29(f5(a1),x2282),f7(a1)),a1),f6(f6(x2281,f7(a1),a1),x2282,a1)) % 1.28/1.42 [241]E(f29(f29(f5(a1),f29(f29(f5(a1),f12(x2411)),f12(x2412))),f29(f29(f5(a1),f4(a1)),f7(a1))),f12(f29(f29(a11,x2411),x2412))) % 1.28/1.42 [242]E(f29(f29(f5(a1),f29(f29(f5(a1),f33(x2421)),f33(x2422))),f29(f29(f5(a1),f4(a1)),f7(a1))),f33(f29(f29(a34,x2421),x2422))) % 1.28/1.42 [248]P31(f29(f29(a10,f29(f29(a11,f9(x2481)),x2482)),f20(x2481,x2482,f4(a1)))) % 1.28/1.42 [249]E(f29(f29(f5(a1),f29(f29(f5(a1),f16(x2491,a15)),f16(x2492,a15))),f29(f29(f5(a1),f4(a1)),f7(a1))),f16(f29(f29(a11,x2491),x2492),a15)) % 1.28/1.42 [250]E(f29(f29(f5(a1),f29(f29(f5(a1),f16(x2501,a47)),f16(x2502,a47))),f29(f29(f5(a1),f4(a1)),f7(a1))),f16(f29(f29(a34,x2501),x2502),a47)) % 1.28/1.42 [296]~P31(f29(f29(a10,f3(x2961)),x2962)) % 1.28/1.42 [298]~P5(f29(f29(f5(a1),x2981),x2982),x2982,a1) % 1.28/1.42 [299]~P5(f29(f29(f5(a1),x2991),x2992),x2991,a1) % 1.28/1.42 [200]E(f6(f29(f29(f5(a1),x2001),x2002),x2002,a1),x2001) % 1.28/1.42 [201]E(f6(f29(f29(f5(a1),x2011),x2012),x2011,a1),x2012) % 1.28/1.42 [202]E(f6(x2021,f29(f29(f5(a1),x2021),x2022),a1),f4(a1)) % 1.28/1.42 [218]E(f9(f19(x2181,f29(f29(f5(a1),x2182),f7(a1)))),f19(f9(x2181),x2182)) % 1.28/1.42 [236]E(f29(f29(f5(a1),f29(f29(f5(a1),x2361),f7(a1))),x2362),f29(f29(f5(a1),x2361),f29(f29(f5(a1),x2362),f7(a1)))) % 1.28/1.42 [238]E(f29(f29(f5(a1),f29(f29(f5(a1),x2381),f7(a1))),x2382),f29(f29(f5(a1),f29(f29(f5(a1),x2381),x2382)),f7(a1))) % 1.28/1.42 [289]~E(f22(x2891,x2892,x2893),x2892) % 1.28/1.42 [294]~E(f22(x2941,x2942,x2943),f17(x2943)) % 1.28/1.42 [300]~P6(x3001,x3002,f17(x3003),x3003) % 1.28/1.42 [301]~P6(x3011,f17(x3012),x3013,x3012) % 1.28/1.42 [195]E(f20(f19(x1951,x1952),x1953,x1952),x1951) % 1.28/1.42 [208]E(f31(f31(x2081,x2082,x2083),x2083,x2082),x2081) % 1.28/1.42 [219]E(f16(f22(x2191,x2192,x2193),f46(x2193)),f29(f29(f5(a1),f16(x2192,f46(x2193))),f7(a1))) % 1.28/1.42 [220]E(f29(f29(f5(a1),f16(x2201,f46(x2202))),f7(a1)),f16(f22(x2203,x2201,x2202),f46(x2202))) % 1.28/1.42 [229]E(f6(f6(x2291,x2292,a1),x2293,a1),f6(f6(x2291,x2293,a1),x2292,a1)) % 1.28/1.42 [276]~E(f9(x2761),f29(f29(a11,x2762),x2763)) % 1.28/1.42 [277]~E(f3(x2771),f29(f29(a11,x2772),x2773)) % 1.28/1.42 [278]~E(f29(f29(a11,x2781),x2782),f9(x2783)) % 1.28/1.42 [279]~E(f29(f29(a11,x2791),x2792),f3(x2793)) % 1.28/1.42 [212]P31(f29(f29(f30(x2121,x2122),x2123),x2123)) % 1.28/1.42 [213]E(f29(f29(a11,f19(x2131,x2132)),f19(x2133,x2132)),f19(f29(f29(a11,x2131),x2133),x2132)) % 1.28/1.42 [222]E(f18(f29(f29(f5(a1),x2221),f7(a1)),x2222,x2223),f19(f18(x2221,x2222,x2223),x2223)) % 1.28/1.42 [232]E(f16(f22(x2321,x2322,x2323),f46(x2323)),f29(f29(f5(a1),f16(x2322,f46(x2323))),f29(f29(f5(a1),f4(a1)),f7(a1)))) % 1.28/1.42 [247]E(f6(f6(f29(f29(f5(a1),x2471),f7(a1)),x2472,a1),f29(f29(f5(a1),x2473),f7(a1)),a1),f6(f6(x2471,x2472,a1),x2473,a1)) % 1.28/1.42 [223]E(f29(f29(f5(a1),x2231),f29(f29(f5(a1),x2232),x2233)),f29(f29(f5(a1),x2232),f29(f29(f5(a1),x2231),x2233))) % 1.28/1.42 [224]E(f6(f29(f29(f5(a1),x2241),x2242),f29(f29(f5(a1),x2243),x2242),a1),f6(x2241,x2243,a1)) % 1.28/1.42 [225]E(f6(f29(f29(f5(a1),x2251),x2252),f29(f29(f5(a1),x2251),x2253),a1),f6(x2252,x2253,a1)) % 1.28/1.42 [227]E(f6(x2271,f29(f29(f5(a1),x2272),x2273),a1),f6(f6(x2271,x2272,a1),x2273,a1)) % 1.28/1.42 [234]E(f9(f18(x2341,x2342,f29(f29(f5(a1),x2343),f7(a1)))),f18(x2341,f9(x2342),x2343)) % 1.28/1.42 [237]E(f9(f20(x2371,f19(x2372,f4(a1)),f29(f29(f5(a1),x2373),f7(a1)))),f20(f9(x2371),x2372,x2373)) % 1.28/1.42 [251]E(f9(f20(x2511,f18(f29(f29(f5(a1),x2512),f7(a1)),x2513,f4(a1)),f29(f29(f5(a1),x2512),f7(a1)))),f20(f9(x2511),f18(x2512,x2513,f4(a1)),x2512)) % 1.28/1.42 [233]E(f29(f29(f5(a1),f29(f29(f5(a1),x2331),x2332)),x2333),f29(f29(f5(a1),x2331),f29(f29(f5(a1),x2332),x2333))) % 1.28/1.42 [243]E(f29(f35(x2431,x2432,x2433,x2434),x2432),x2433) % 1.28/1.42 [253]E(f23(x2531,x2532,f17(x2533),x2534,x2533),x2532) % 1.28/1.42 [254]E(f26(x2541,f17(x2542),x2543,x2542,x2544),x2543) % 1.28/1.42 [303]~E(f23(a11,f3(x3031),x3032,a15,a15),f23(a11,f9(x3033),x3034,a15,a15)) % 1.28/1.42 [239]E(f29(f29(a11,f18(x2391,x2392,x2393)),f18(x2391,x2394,x2393)),f18(x2391,f29(f29(a11,x2392),x2394),x2393)) % 1.28/1.42 [240]E(f29(f29(a11,f20(x2401,x2402,x2403)),f20(x2404,x2402,x2403)),f20(f29(f29(a11,x2401),x2404),x2402,x2403)) % 1.28/1.42 [252]E(f27(x2521,f22(x2522,x2523,x2524),x2524),f29(f29(f5(a1),f29(f29(f5(a1),f29(x2521,x2522)),f27(x2521,x2523,x2524))),f29(f29(f5(a1),f4(a1)),f7(a1)))) % 1.28/1.42 [302]~E(f29(f29(a11,f9(x3021)),x3022),f23(a11,f3(x3023),x3024,a15,a15)) % 1.28/1.42 [258]E(f13(x2581,x2582,x2583,f9(x2584),x2585),f29(x2583,x2584)) % 1.28/1.42 [259]E(f13(x2591,x2592,x2593,f3(x2594),x2595),f29(x2591,x2594)) % 1.28/1.42 [260]E(f14(x2601,x2602,x2603,f3(x2604),x2605),f29(x2601,x2604)) % 1.28/1.42 [269]E(f29(f29(x2691,x2692),f14(x2693,x2694,x2691,x2692,x2695)),f14(x2693,x2694,x2691,f9(x2692),x2695)) % 1.28/1.42 [264]E(f35(f35(x2641,f4(a1),x2642,x2643),f29(f29(f5(a1),x2644),f7(a1)),x2645,x2643),f35(f35(x2641,x2644,x2645,x2643),f4(a1),x2642,x2643)) % 1.28/1.42 [270]E(f26(x2701,f22(x2702,x2703,x2704),x2705,x2704,x2706),f29(f29(x2701,x2702),f26(x2701,x2703,x2705,x2704,x2706))) % 1.28/1.42 [263]E(f13(x2631,x2632,x2633,f29(f29(a11,x2634),x2635),x2636),f29(f29(x2632,x2634),x2635)) % 1.28/1.42 [265]E(f23(x2651,x2652,f22(x2653,x2654,x2655),x2656,x2655),f23(x2651,f29(f29(x2651,x2652),x2653),x2654,x2656,x2655)) % 1.28/1.42 [272]E(f29(f29(f29(f29(x2721,x2722),x2723),f14(x2724,x2721,x2725,x2722,x2726)),f14(x2724,x2721,x2725,x2723,x2726)),f14(x2724,x2721,x2725,f29(f29(a11,x2722),x2723),x2726)) % 1.28/1.42 [307]~P11(x3071)+~E(f7(x3071),f4(x3071)) % 1.28/1.42 [314]E(x3141,f4(a1))+P5(f4(a1),x3141,a1) % 1.28/1.42 [328]~P21(x3281)+P5(f4(x3281),f7(x3281),x3281) % 1.28/1.42 [351]~P21(x3511)+~P5(f7(x3511),f4(x3511),x3511) % 1.28/1.42 [394]P8(f31(a10,a15,a15),x3941,a15)+~P31(f29(a8,x3941)) % 1.28/1.42 [428]~P8(f31(a10,a15,a15),x4281,a15)+P31(f29(a8,x4281)) % 1.28/1.42 [308]~P30(x3081)+E(f28(f4(a1),x3081),f4(x3081)) % 1.28/1.42 [309]~P30(x3091)+E(f28(f7(a1),x3091),f7(x3091)) % 1.28/1.42 [333]~P18(x3331)+E(f29(f29(f5(x3331),f4(x3331)),f4(x3331)),f4(x3331)) % 1.28/1.42 [334]~P31(f29(a8,x3341))+P31(f29(a8,f9(x3341))) % 1.28/1.42 [400]~P21(x4001)+P5(f4(x4001),f29(f29(f5(x4001),f7(x4001)),f7(x4001)),x4001) % 1.28/1.42 [423]E(x4231,f4(a1))+~P5(x4231,f29(f29(f5(a1),f4(a1)),f7(a1)),a1) % 1.28/1.42 [473]~P5(f4(a1),x4731,a1)+E(f29(f29(f5(a1),f6(x4731,f7(a1),a1)),f7(a1)),x4731) % 1.28/1.42 [520]~P5(f4(a1),x5201,a1)+E(f29(f29(f5(a1),f6(x5201,f29(f29(f5(a1),f4(a1)),f7(a1)),a1)),f7(a1)),x5201) % 1.28/1.42 [532]P32(a5000)+~P3(f35(a54,a57,a51,a47),f29(f29(a11,f9(a58)),a50),x5321) % 1.28/1.42 [335]~P5(x3352,x3352,x3351)+~P25(x3351) % 1.28/1.42 [336]~P5(x3362,x3362,x3361)+~P27(x3361) % 1.28/1.42 [337]~P5(x3372,x3372,x3371)+~P26(x3371) % 1.28/1.42 [304]E(x3041,x3042)+~E(f9(x3041),f9(x3042)) % 1.28/1.42 [305]E(x3051,x3052)+~E(f3(x3051),f3(x3052)) % 1.28/1.42 [310]~P25(x3102)+P25(f48(x3101,x3102)) % 1.28/1.42 [311]~P27(x3112)+P27(f48(x3111,x3112)) % 1.28/1.43 [316]~P17(x3162)+E(f6(x3161,x3161,x3162),f4(x3162)) % 1.28/1.43 [317]~P10(x3172)+E(f6(x3171,x3171,x3172),f4(x3172)) % 1.28/1.43 [364]~P21(x3641)+~P5(f28(x3642,x3641),f4(x3641),x3641) % 1.28/1.43 [422]~P5(x4222,x4221,a1)+P5(f4(a1),f6(x4221,x4222,a1),a1) % 1.28/1.43 [446]P5(x4461,x4462,a1)+~P5(f4(a1),f6(x4462,x4461,a1),a1) % 1.28/1.43 [312]E(x3121,f17(x3122))+~E(f16(x3121,f46(x3122)),f4(a1)) % 1.28/1.43 [318]~P13(x3181)+E(f29(f29(f5(x3181),x3182),f4(x3181)),x3182) % 1.28/1.43 [319]~P24(x3191)+E(f29(f29(f5(x3191),x3192),f4(x3191)),x3192) % 1.28/1.43 [320]~P14(x3201)+E(f29(f29(f5(x3201),x3202),f4(x3201)),x3202) % 1.28/1.43 [321]~P17(x3212)+E(f6(x3211,f4(x3212),x3212),x3211) % 1.28/1.43 [338]E(x3381,f17(x3382))+P5(f4(a1),f16(x3381,f46(x3382)),a1) % 1.28/1.43 [343]~P5(x3431,x3432,a1)+E(f19(f3(x3431),x3432),f3(x3431)) % 1.28/1.43 [363]~P31(f29(a8,x3631))+P31(f29(a8,f19(x3631,x3632))) % 1.28/1.43 [382]~P21(x3822)+P5(x3821,f29(f29(f5(x3822),x3821),f7(x3822)),x3822) % 1.28/1.43 [397]P5(x3971,x3972,a1)+P5(x3972,f29(f29(f5(a1),x3971),f7(a1)),a1) % 1.28/1.43 [399]P5(x3992,x3991,a1)+E(f29(f29(f5(a1),x3991),f6(x3992,x3991,a1)),x3992) % 1.28/1.43 [412]~P31(f29(f29(a10,x4121),x4122))+P31(f29(f29(a10,f9(x4121)),f9(x4122))) % 1.28/1.43 [455]~P5(x4551,x4552,a1)+~P5(x4552,f29(f29(f5(a1),x4551),f7(a1)),a1) % 1.28/1.43 [495]P5(x4951,x4952,a1)+~P5(f29(f29(f5(a1),x4951),f7(a1)),f29(f29(f5(a1),x4952),f7(a1)),a1) % 1.28/1.43 [557]~P13(x5571)+E(f26(f5(x5571),x5572,f4(x5571),x5571,x5571),f23(f5(x5571),f4(x5571),x5572,x5571,x5571)) % 1.28/1.43 [322]~P13(x3221)+E(f29(f29(f5(x3221),f4(x3221)),x3222),x3222) % 1.28/1.43 [324]~P24(x3241)+E(f29(f29(f5(x3241),f4(x3241)),x3242),x3242) % 1.28/1.43 [325]~P14(x3251)+E(f29(f29(f5(x3251),f4(x3251)),x3252),x3252) % 1.28/1.43 [330]E(x3301,f4(a1))+~E(f29(f29(f5(a1),x3302),x3301),x3302) % 1.28/1.43 [331]E(x3311,f4(a1))+~E(f29(f29(f5(a1),x3312),x3311),f4(a1)) % 1.28/1.43 [332]E(x3321,f4(a1))+~E(f29(f29(f5(a1),x3321),x3322),f4(a1)) % 1.28/1.43 [381]P5(x3811,x3812,a1)+E(f19(f3(x3811),x3812),f3(f29(f29(f5(a1),x3811),f7(a1)))) % 1.28/1.43 [392]E(f9(f21(x3921,x3922)),x3922)+~P31(f29(f29(a10,f9(x3921)),x3922)) % 1.28/1.43 [401]~P30(x4012)+E(f28(f29(f29(f5(a1),x4011),f7(a1)),x4012),f29(f29(f5(x4012),f7(x4012)),f28(x4011,x4012))) % 1.28/1.43 [419]~P31(f29(a8,x4191))+P31(f29(a8,f29(f29(a11,x4191),f3(x4192)))) % 1.28/1.43 [441]P31(f29(f29(a10,x4411),f21(x4411,x4412)))+~P31(f29(f29(a10,f9(x4411)),x4412)) % 1.28/1.43 [493]~P5(f4(a1),x4931,a1)+P5(f6(x4931,f29(f29(f5(a1),x4932),f7(a1)),a1),x4931,a1) % 1.28/1.43 [496]P31(f29(f29(f30(a10,a15),f9(x4961)),f9(x4962)))+~P31(f29(f29(f30(a10,a15),x4961),x4962)) % 1.28/1.43 [542]E(x5421,f4(a1))+E(f29(f29(f5(a1),f29(f29(f5(a1),f6(x5421,f7(a1),a1)),x5422)),f7(a1)),f29(f29(f5(a1),x5421),x5422)) % 1.28/1.43 [570]~P4(a8,x5702,a15)+P31(f29(a8,f23(a11,f3(x5701),x5702,a15,a15))) % 1.28/1.43 [347]~P3(x3471,f3(x3472),x3473)+E(f29(x3471,x3472),x3473) % 1.28/1.43 [420]~P5(x4201,x4203,a1)+P5(f6(x4201,x4202,a1),x4203,a1) % 1.28/1.43 [548]~E(f9(x5482),f23(a11,x5483,x5481,a15,a15))+E(x5481,f17(a15)) % 1.28/1.43 [549]~E(f3(x5492),f23(a11,x5493,x5491,a15,a15))+E(x5491,f17(a15)) % 1.28/1.43 [550]~E(f23(a11,x5502,x5501,a15,a15),f9(x5503))+E(x5501,f17(a15)) % 1.28/1.43 [551]E(x5511,f9(x5512))+~E(f23(a11,x5511,x5513,a15,a15),f9(x5512)) % 1.28/1.43 [552]E(f9(x5521),x5522)+~E(f9(x5521),f23(a11,x5522,x5523,a15,a15)) % 1.28/1.43 [553]E(f3(x5531),x5532)+~E(f3(x5531),f23(a11,x5532,x5533,a15,a15)) % 1.28/1.43 [561]E(x5611,x5612)+~E(f23(a11,x5611,x5613,a15,a15),f23(a11,x5612,x5613,a15,a15)) % 1.28/1.43 [368]~P5(x3682,x3683,a1)+E(f18(x3681,f3(x3682),x3683),f3(x3682)) % 1.28/1.43 [369]~P5(x3691,x3693,a1)+E(f20(f3(x3691),x3692,x3693),f3(x3691)) % 1.28/1.43 [467]~P31(f29(f29(a10,x4671),x4673))+P31(f29(f29(a10,f19(x4671,x4672)),f19(x4673,x4672))) % 1.28/1.43 [497]~P3(x4972,f9(x4973),x4971)+E(f29(f29(a34,f36(x4971,x4972,x4973)),f42(x4971,x4972,x4973)),x4971) % 1.28/1.43 [515]~P3(x5151,f9(x5152),x5153)+P3(f35(x5151,f4(a1),f37(x5151,x5152),a47),x5152,f38(x5151,x5152)) % 1.28/1.43 [530]~P3(x5301,f9(x5303),x5302)+P3(f35(x5301,f4(a1),f36(x5302,x5301,x5303),a47),x5303,f42(x5302,x5301,x5303)) % 1.28/1.43 [554]E(f29(f29(a11,x5541),x5542),x5543)+~E(f29(f29(a11,x5541),x5542),f23(a11,x5543,f17(a15),a15,a15)) % 1.28/1.43 [556]~P1(x5561)+E(f26(f5(x5561),x5562,x5563,x5561,x5561),f23(f5(x5561),x5563,x5562,x5561,x5561)) % 1.28/1.43 [584]~P31(f29(f29(a10,x5841),x5843))+P31(f29(f29(a10,f23(a11,x5841,x5842,a15,a15)),f23(a11,x5843,x5842,a15,a15))) % 1.28/1.43 [586]~P6(a10,x5862,x5863,a15)+P31(f29(f29(a10,f23(a11,x5861,x5862,a15,a15)),f23(a11,x5861,x5863,a15,a15))) % 1.28/1.43 [349]~P24(x3491)+E(f29(f29(f5(x3491),x3492),x3493),f29(f29(f5(x3491),x3493),x3492)) % 1.28/1.43 [350]~P14(x3501)+E(f29(f29(f5(x3501),x3502),x3503),f29(f29(f5(x3501),x3503),x3502)) % 1.28/1.43 [366]E(x3661,x3662)+~E(f29(f29(f5(a1),x3663),x3661),f29(f29(f5(a1),x3663),x3662)) % 1.28/1.43 [367]E(x3671,x3672)+~E(f29(f29(f5(a1),x3671),x3673),f29(f29(f5(a1),x3672),x3673)) % 1.28/1.43 [375]E(x3751,x3752)+~P31(f29(f29(f32(x3753),x3751),x3752)) % 1.28/1.43 [408]~P5(x4081,x4083,a1)+P5(x4081,f29(f29(f5(a1),x4082),x4083),a1) % 1.28/1.43 [410]~P5(x4101,x4102,a1)+P5(x4101,f29(f29(f5(a1),x4102),x4103),a1) % 1.28/1.43 [425]~P5(x4253,x4251,a1)+E(f20(f3(x4251),x4252,x4253),f3(f6(x4251,f7(a1),a1))) % 1.28/1.43 [436]~P17(x4361)+E(f29(f29(f5(x4361),f6(x4362,x4363,x4361)),x4363),x4362) % 1.28/1.43 [437]P5(x4371,x4372,a1)+~P5(f29(f29(f5(a1),x4371),x4373),x4372,a1) % 1.28/1.43 [447]~P31(f29(a8,x4471))+P31(f29(a8,f20(x4471,f3(x4472),x4473))) % 1.28/1.43 [452]~P5(x4521,x4523,a1)+P5(f29(f29(f5(a1),x4521),x4522),f29(f29(f5(a1),x4523),x4522),a1) % 1.28/1.43 [453]~P5(x4532,x4533,a1)+P5(f29(f29(f5(a1),x4531),x4532),f29(f29(f5(a1),x4531),x4533),a1) % 1.28/1.43 [477]P5(x4771,f6(x4772,x4773,a1),a1)+~P5(f29(f29(f5(a1),x4771),x4773),x4772,a1) % 1.28/1.43 [479]~P5(x4791,f6(x4793,x4792,a1),a1)+P5(f29(f29(f5(a1),x4791),x4792),x4793,a1) % 1.28/1.43 [482]~P5(x4822,f29(f29(f5(a1),x4823),f7(a1)),a1)+E(f19(f19(x4821,x4822),f29(f29(f5(a1),x4823),f7(a1))),f19(f19(x4821,x4823),x4822)) % 1.28/1.43 [489]P5(x4891,x4892,a1)+~P5(f29(f29(f5(a1),x4893),x4891),f29(f29(f5(a1),x4893),x4892),a1) % 1.28/1.43 [503]P31(f29(f29(f30(a10,a15),f19(x5031,x5032)),f19(x5033,x5032)))+~P31(f29(f29(f30(a10,a15),x5031),x5033)) % 1.28/1.43 [508]~P31(f29(f29(a10,x5081),x5083))+P31(f29(f29(a10,f29(f29(a11,x5081),x5082)),f29(f29(a11,x5083),x5082))) % 1.28/1.43 [509]~P31(f29(f29(a10,x5092),x5093))+P31(f29(f29(a10,f29(f29(a11,x5091),x5092)),f29(f29(a11,x5091),x5093))) % 1.28/1.43 [523]~P31(f29(f29(f30(a10,a15),x5231),x5233))+P31(f29(f29(f30(a10,a15),f29(f29(a11,x5231),x5232)),f29(f29(a11,x5233),x5232))) % 1.28/1.43 [524]~P31(f29(f29(f30(a10,a15),x5242),x5243))+P31(f29(f29(f30(a10,a15),f29(f29(a11,x5241),x5242)),f29(f29(a11,x5241),x5243))) % 1.28/1.43 [559]~P13(x5591)+E(f29(f29(f5(x5591),x5592),f26(f5(x5591),x5593,f4(x5591),x5591,x5591)),f23(f5(x5591),x5592,x5593,x5591,x5591)) % 1.28/1.43 [560]~P13(x5601)+E(f29(f29(f5(x5601),x5602),f23(f5(x5601),f4(x5601),x5603,x5601,x5601)),f23(f5(x5601),x5602,x5603,x5601,x5601)) % 1.28/1.43 [585]P31(f29(f29(f30(a10,a15),f23(a11,x5851,x5852,a15,a15)),f23(a11,x5853,x5852,a15,a15)))+~P31(f29(f29(f30(a10,a15),x5851),x5853)) % 1.28/1.43 [372]~P17(x3721)+E(f6(f29(f29(f5(x3721),x3722),x3723),x3723,x3721),x3722) % 1.28/1.43 [402]P5(x4022,x4023,a1)+E(f18(x4021,f3(x4022),x4023),f3(f29(f29(f5(a1),x4022),x4021))) % 1.28/1.43 [421]~P30(x4211)+E(f29(f29(f5(x4211),f28(x4212,x4211)),f28(x4213,x4211)),f28(f29(f29(f5(a1),x4212),x4213),x4211)) % 1.28/1.43 [587]P6(a10,x5871,f25(x5872,x5871,x5873),a15)+~P31(f29(f29(a10,f23(a11,f3(x5872),x5871,a15,a15)),x5873)) % 1.28/1.43 [590]E(f23(a11,f3(x5901),f25(x5901,x5902,x5903),a15,a15),x5903)+~P31(f29(f29(a10,f23(a11,f3(x5901),x5902,a15,a15)),x5903)) % 1.28/1.43 [534]P31(f29(x5341,x5342))+~P31(f29(x5341,f6(f29(f29(f5(a1),x5343),x5342),x5343,a1))) % 1.28/1.43 [567]P9(x5671,x5672,f40(x5673,x5671,x5674,x5672))+~P3(x5671,f23(a11,x5674,x5672,a15,a15),x5673) % 1.28/1.43 [568]P9(x5681,x5682,f41(x5683,x5681,x5684,x5682))+~P3(x5681,f23(a11,x5684,x5682,a15,a15),x5683) % 1.28/1.43 [353]E(x3531,x3532)+~E(f29(f29(a11,x3533),x3531),f29(f29(a11,x3534),x3532)) % 1.28/1.43 [354]E(x3541,x3542)+~E(f29(f29(a34,x3543),x3541),f29(f29(a34,x3544),x3542)) % 1.28/1.43 [355]E(x3551,x3552)+~E(f29(f29(a11,x3551),x3553),f29(f29(a11,x3552),x3554)) % 1.28/1.43 [356]E(x3561,x3562)+~E(f29(f29(a34,x3561),x3563),f29(f29(a34,x3562),x3564)) % 1.28/1.43 [512]E(f20(f19(x5121,f29(f29(f5(a1),x5122),f7(a1))),f19(x5123,x5122),x5124),f19(f20(x5121,x5123,x5124),x5122))+~P5(x5124,f29(f29(f5(a1),x5122),f7(a1)),a1) % 1.28/1.43 [518]P3(x5181,x5182,f39(x5183,x5181,x5184,x5182))+~P3(x5181,f29(f29(a11,x5184),x5182),x5183) % 1.28/1.43 [522]~P31(f29(f29(a10,x5221),x5224))+P31(f29(f29(a10,f20(x5221,x5222,x5223)),f20(x5224,x5222,x5223))) % 1.28/1.43 [529]P31(f29(f29(f30(a10,a15),f20(x5291,x5292,x5293)),f20(x5291,x5294,x5293)))+~P31(f29(f29(a10,x5292),x5294)) % 1.28/1.43 [536]P3(x5361,f9(x5362),f29(f29(a34,x5363),x5364))+~P3(f35(x5361,f4(a1),x5363,a47),x5362,x5364) % 1.28/1.43 [563]E(x5631,x5632)+~E(f23(a11,f9(x5633),x5631,a15,a15),f23(a11,f9(x5634),x5632,a15,a15)) % 1.28/1.43 [564]E(x5641,x5642)+~E(f23(a11,f3(x5643),x5641,a15,a15),f23(a11,f3(x5644),x5642,a15,a15)) % 1.28/1.43 [565]E(x5651,x5652)+~E(f23(a11,f9(x5651),x5653,a15,a15),f23(a11,f9(x5652),x5654,a15,a15)) % 1.28/1.43 [566]E(x5661,x5662)+~E(f23(a11,f3(x5661),x5663,a15,a15),f23(a11,f3(x5662),x5664,a15,a15)) % 1.28/1.43 [569]P9(x5691,x5692,f43(x5693,x5691,x5694,x5692))+~P3(x5691,f23(a11,f3(x5694),x5692,a15,a15),x5693) % 1.28/1.43 [572]~P3(x5721,f23(a11,x5722,x5724,a15,a15),x5723)+P3(x5721,x5722,f26(a34,f40(x5723,x5721,x5722,x5724),x5723,a47,a47)) % 1.28/1.43 [573]~P3(x5731,f23(a11,x5732,x5734,a15,a15),x5733)+P3(x5731,x5732,f26(a34,f41(x5733,x5731,x5732,x5734),x5733,a47,a47)) % 1.28/1.43 [574]~P3(x5741,f23(a11,f3(x5742),x5744,a15,a15),x5743)+P3(x5741,f3(x5742),f26(a34,f43(x5743,x5741,x5742,x5744),x5743,a47,a47)) % 1.28/1.43 [448]~P31(f29(f29(x4481,x4483),x4484))+P31(f29(f29(f30(x4481,x4482),x4483),x4484)) % 1.28/1.43 [502]~P5(x5022,f29(f29(f5(a1),x5024),f7(a1)),a1)+E(f20(f19(x5021,x5022),f19(x5023,x5022),f29(f29(f5(a1),x5024),f7(a1))),f19(f20(x5021,x5023,x5024),x5022)) % 1.28/1.43 [538]P31(f29(f29(f30(a10,a15),f20(x5381,x5382,x5383)),f20(x5384,x5382,x5383)))+~P31(f29(f29(f30(a10,a15),x5381),x5384)) % 1.28/1.43 [539]P31(f29(f29(f30(a10,a15),f20(x5391,x5392,x5393)),f20(x5391,x5394,x5393)))+~P31(f29(f29(f30(a10,a15),x5392),x5394)) % 1.28/1.43 [555]~P3(x5551,f29(f29(a11,x5552),x5554),x5553)+P3(x5551,x5552,f29(f29(a34,f39(x5553,x5551,x5552,x5554)),x5553)) % 1.28/1.43 [449]~P10(x4491)+E(f29(f29(f5(x4491),x4492),f29(f29(f5(x4491),x4493),x4494)),f29(f29(f5(x4491),x4493),f29(f29(f5(x4491),x4492),x4494))) % 1.28/1.43 [450]~P24(x4501)+E(f29(f29(f5(x4501),x4502),f29(f29(f5(x4501),x4503),x4504)),f29(f29(f5(x4501),x4503),f29(f29(f5(x4501),x4502),x4504))) % 1.28/1.43 [451]~P14(x4511)+E(f29(f29(f5(x4511),x4512),f29(f29(f5(x4511),x4513),x4514)),f29(f29(f5(x4511),x4513),f29(f29(f5(x4511),x4512),x4514))) % 1.28/1.43 [546]~P31(f29(f29(f30(x5461,x5462),x5464),x5463))+P31(f29(f29(f30(f31(x5461,x5462,x5462),x5462),x5463),x5464)) % 1.28/1.43 [547]P31(f29(f29(f30(x5471,x5472),x5473),x5474))+~P31(f29(f29(f30(f31(x5471,x5472,x5472),x5472),x5474),x5473)) % 1.28/1.43 [562]~P23(x5621)+E(f23(f5(x5621),f29(f29(f5(x5621),x5622),x5623),x5624,x5621,x5621),f29(f29(f5(x5621),x5622),f23(f5(x5621),x5623,x5624,x5621,x5621))) % 1.28/1.43 [486]~P1(x4861)+E(f29(f29(f5(x4861),f29(f29(f5(x4861),x4862),x4863)),x4864),f29(f29(f5(x4861),x4862),f29(f29(f5(x4861),x4863),x4864))) % 1.28/1.43 [487]~P24(x4871)+E(f29(f29(f5(x4871),f29(f29(f5(x4871),x4872),x4873)),x4874),f29(f29(f5(x4871),x4872),f29(f29(f5(x4871),x4873),x4874))) % 1.28/1.43 [488]~P14(x4881)+E(f29(f29(f5(x4881),f29(f29(f5(x4881),x4882),x4883)),x4884),f29(f29(f5(x4881),x4882),f29(f29(f5(x4881),x4883),x4884))) % 1.28/1.43 [501]~P24(x5011)+E(f29(f29(f5(x5011),f29(f29(f5(x5011),x5012),x5013)),x5014),f29(f29(f5(x5011),f29(f29(f5(x5011),x5012),x5014)),x5013)) % 1.28/1.43 [376]E(x3761,x3762)+~E(f22(x3763,x3761,x3764),f22(x3765,x3762,x3764)) % 1.28/1.43 [377]E(x3771,x3772)+~E(f22(x3771,x3773,x3774),f22(x3772,x3775,x3774)) % 1.28/1.43 [513]~P3(x5131,x5134,x5135)+P3(f35(x5131,x5132,x5133,a47),f19(x5134,x5132),x5135) % 1.28/1.43 [525]~P6(x5251,x5253,x5255,x5254)+P6(x5251,f22(x5252,x5253,x5254),f22(x5252,x5255,x5254),x5254) % 1.28/1.43 [504]P6(x5041,f22(x5042,x5043,x5044),f22(x5045,x5043,x5044),x5044)+~P31(f29(f29(x5041,x5042),x5045)) % 1.28/1.43 [505]~P5(x5055,x5052,a1)+E(f29(f35(x5051,x5052,x5053,x5054),x5055),f29(x5051,x5055)) % 1.28/1.43 [528]E(f20(f20(x5281,f19(x5282,x5283),f29(f29(f5(a1),x5284),f7(a1))),f20(x5285,x5282,x5284),x5283),f20(f20(x5281,x5285,x5283),x5282,x5284))+~P5(x5283,f29(f29(f5(a1),x5284),f7(a1)),a1) % 1.28/1.43 [511]~P31(f29(f29(x5111,x5115),x5114))+P31(f29(f29(f31(x5111,x5112,x5113),x5114),x5115)) % 1.28/1.43 [514]~P5(x5142,x5145,a1)+E(f29(f35(x5141,x5142,x5143,x5144),x5145),f29(x5141,f6(x5145,f7(a1),a1))) % 1.28/1.43 [527]P31(f29(f29(x5271,x5272),x5273))+~P31(f29(f29(f31(x5271,x5274,x5275),x5273),x5272)) % 1.28/1.43 [577]P31(f29(x5771,f29(x5772,x5773)))+~P31(f29(x5771,f13(x5774,x5775,x5772,f9(x5773),a45))) % 1.28/1.43 [579]P31(f29(x5791,f29(x5792,x5793)))+~P31(f29(x5791,f13(x5792,x5794,x5795,f3(x5793),a45))) % 1.28/1.43 [516]~P24(x5161)+E(f29(f29(f5(x5161),f29(f29(f5(x5161),x5162),x5163)),f29(f29(f5(x5161),x5164),x5165)),f29(f29(f5(x5161),f29(f29(f5(x5161),x5162),x5164)),f29(f29(f5(x5161),x5163),x5165))) % 1.28/1.43 [582]P31(f29(x5821,f29(f29(x5822,x5823),x5824)))+~P31(f29(x5821,f13(x5825,x5822,x5826,f29(f29(a11,x5823),x5824),a45))) % 1.28/1.43 [346]E(x3461,x3462)+P5(x3462,x3461,a1)+P5(x3461,x3462,a1) % 1.28/1.43 [326]~P28(x3262)+~P7(x3262)+E(f6(x3261,x3261,x3262),f4(x3262)) % 1.28/1.43 [383]E(x3831,x3832)+~E(f6(x3832,x3831,a1),f4(a1))+~E(f6(x3831,x3832,a1),f4(a1)) % 1.28/1.43 [391]~P21(x3911)+P5(f4(x3911),f28(x3912,x3911),x3911)+~P5(f4(a1),x3912,a1) % 1.28/1.43 [396]~P21(x3962)+~P5(f4(x3962),f28(x3961,x3962),x3962)+P5(f4(a1),x3961,a1) % 1.28/1.43 [464]P5(f6(x4641,x4642,a1),x4641,a1)+~P5(f4(a1),x4642,a1)+~P5(f4(a1),x4641,a1) % 1.28/1.43 [327]~P28(x3271)+~P7(x3271)+E(f29(f29(f5(x3271),x3272),f4(x3271)),x3272) % 1.28/1.43 [439]~P5(x4391,x4392,a1)+P5(f29(f29(f5(a1),x4391),f7(a1)),x4392,a1)+E(f29(f29(f5(a1),x4391),f7(a1)),x4392) % 1.28/1.43 [443]E(x4431,x4432)+P5(x4432,x4431,a1)+~P5(x4432,f29(f29(f5(a1),x4431),f7(a1)),a1) % 1.28/1.43 [445]E(x4451,x4452)+P5(x4451,x4452,a1)+~P5(x4451,f29(f29(f5(a1),x4452),f7(a1)),a1) % 1.28/1.43 [339]~P18(x3392)+E(x3391,f4(x3392))+~E(f29(f29(f5(x3392),x3391),x3391),f4(x3392)) % 1.28/1.43 [373]E(x3731,f4(a1))+E(x3732,f4(a1))+~E(f29(f29(f5(a1),x3732),x3731),f29(f29(f5(a1),f4(a1)),f7(a1))) % 1.28/1.43 [374]E(x3741,f4(a1))+E(x3742,f4(a1))+~E(f29(f29(f5(a1),f4(a1)),f7(a1)),f29(f29(f5(a1),x3742),x3741)) % 1.28/1.43 [403]E(x4031,f4(a1))+E(x4031,f29(f29(f5(a1),f4(a1)),f7(a1)))+~E(f29(f29(f5(a1),x4032),x4031),f29(f29(f5(a1),f4(a1)),f7(a1))) % 1.28/1.43 [404]E(x4041,f4(a1))+E(x4041,f29(f29(f5(a1),f4(a1)),f7(a1)))+~E(f29(f29(f5(a1),x4041),x4042),f29(f29(f5(a1),f4(a1)),f7(a1))) % 1.28/1.43 [405]E(x4051,f4(a1))+E(x4051,f29(f29(f5(a1),f4(a1)),f7(a1)))+~E(f29(f29(f5(a1),f4(a1)),f7(a1)),f29(f29(f5(a1),x4052),x4051)) % 1.28/1.43 [406]E(x4061,f4(a1))+E(x4061,f29(f29(f5(a1),f4(a1)),f7(a1)))+~E(f29(f29(f5(a1),f4(a1)),f7(a1)),f29(f29(f5(a1),x4061),x4062)) % 1.28/1.43 [429]~P18(x4291)+~P5(f4(x4291),x4292,x4291)+P5(f4(x4291),f29(f29(f5(x4291),x4292),x4292),x4291) % 1.28/1.43 [430]~P18(x4301)+~P5(x4302,f4(x4301),x4301)+P5(f29(f29(f5(x4301),x4302),x4302),f4(x4301),x4301) % 1.28/1.43 [431]~P29(x4311)+~P5(x4312,f4(x4311),x4311)+P5(f29(f29(f5(x4311),x4312),x4312),f4(x4311),x4311) % 1.28/1.43 [434]E(x4341,f29(f29(f5(a1),f4(a1)),f7(a1)))+E(x4342,f29(f29(f5(a1),f4(a1)),f7(a1)))+~E(f29(f29(f5(a1),x4342),x4341),f29(f29(f5(a1),f4(a1)),f7(a1))) % 1.28/1.43 [435]E(x4351,f29(f29(f5(a1),f4(a1)),f7(a1)))+E(x4352,f29(f29(f5(a1),f4(a1)),f7(a1)))+~E(f29(f29(f5(a1),f4(a1)),f7(a1)),f29(f29(f5(a1),x4352),x4351)) % 1.28/1.43 [458]~P18(x4582)+P5(x4581,f4(x4582),x4582)+~P5(f29(f29(f5(x4582),x4581),x4581),f4(x4582),x4582) % 1.28/1.43 [459]~P29(x4592)+P5(x4591,f4(x4592),x4592)+~P5(f29(f29(f5(x4592),x4591),x4591),f4(x4592),x4592) % 1.28/1.43 [460]~P18(x4601)+P5(f4(x4601),x4602,x4601)+~P5(f4(x4601),f29(f29(f5(x4601),x4602),x4602),x4601) % 1.28/1.43 [465]P5(f4(a1),x4651,a1)+P5(f4(a1),x4652,a1)+~P5(f4(a1),f29(f29(f5(a1),x4651),x4652),a1) % 1.28/1.43 [384]~P5(x3843,x3842,x3841)+~P25(x3841)+~P5(x3842,x3843,x3841) % 1.28/1.43 [386]~P5(x3863,x3862,x3861)+~P27(x3861)+~P5(x3862,x3863,x3861) % 1.28/1.43 [387]~P5(x3873,x3872,x3871)+~P26(x3871)+~P5(x3872,x3873,x3871) % 1.28/1.43 [313]~P2(x3133)+E(x3131,x3132)+~E(f28(x3131,x3133),f28(x3132,x3133)) % 1.28/1.43 [340]~P17(x3403)+E(x3401,x3402)+~E(f6(x3401,x3402,x3403),f4(x3403)) % 1.28/1.43 [341]~P10(x3413)+E(x3411,x3412)+~E(f6(x3411,x3412,x3413),f4(x3413)) % 1.28/1.43 [395]~P21(x3952)+~P5(x3951,x3953,a1)+P5(f28(x3951,x3952),f28(x3953,x3952),x3952) % 1.28/1.43 [411]~P21(x4113)+~P5(f28(x4111,x4113),f28(x4112,x4113),x4113)+P5(x4111,x4112,a1) % 1.28/1.43 [427]~P20(x4273)+~P5(x4271,x4272,x4273)+P5(f6(x4271,x4272,x4273),f4(x4273),x4273) % 1.28/1.43 [461]~P20(x4613)+P5(x4611,x4612,x4613)+~P5(f6(x4611,x4612,x4613),f4(x4613),x4613) % 1.28/1.43 [490]~P5(x4903,x4902,a1)+~P5(x4903,x4901,a1)+P5(f6(x4901,x4902,a1),f6(x4901,x4903,a1),a1) % 1.28/1.43 [362]E(x3621,x3622)+P5(x3622,x3621,a1)+E(f20(f3(x3621),x3623,x3622),f3(x3621)) % 1.28/1.43 [454]~P5(x4541,x4543,a1)+~P5(x4543,x4542,a1)+P5(f29(f29(f5(a1),x4541),f7(a1)),x4542,a1) % 1.28/1.43 [500]~P5(x5002,x5003,a1)+~P31(f29(x5001,f6(x5002,x5003,a1)))+P31(f29(x5001,f4(a1))) % 1.28/1.43 [575]~P8(f31(a10,a15,a15),x5752,a15)+~P8(f31(a10,a15,a15),f23(a11,f20(x5751,x5752,f4(a1)),x5753,a15,a15),a15)+P8(f31(a10,a15,a15),f23(a11,f29(f29(a11,f9(x5751)),x5752),x5753,a15,a15),a15) % 1.28/1.43 [583]~P31(f29(a8,x5832))+~P31(f29(a8,f23(a11,f20(x5831,x5832,f4(a1)),x5833,a15,a15)))+P31(f29(a8,f23(a11,f29(f29(a11,f9(x5831)),x5832),x5833,a15,a15))) % 1.28/1.43 [388]~P10(x3884)+E(x3881,x3882)+~E(f6(x3883,x3883,x3884),f6(x3881,x3882,x3884)) % 1.28/1.43 [389]~P10(x3893)+E(x3891,x3892)+~E(f6(x3891,x3892,x3893),f6(x3894,x3894,x3893)) % 1.28/1.43 [426]P3(x4261,x4262,x4263)+~P3(x4261,x4264,x4263)+~P31(f29(f29(a10,x4264),x4262)) % 1.28/1.43 [433]P8(x4331,x4332,x4333)+~P8(x4331,x4334,x4333)+~P31(f29(f29(x4331,x4332),x4334)) % 1.28/1.43 [558]E(x5581,f17(a15))+E(f23(a11,x5582,f24(x5583,x5584,x5582,x5581),a15,a15),x5583)+~E(f29(f29(a11,x5583),x5584),f23(a11,x5582,x5581,a15,a15)) % 1.28/1.43 [378]~P15(x3783)+E(x3781,x3782)+~E(f29(f29(f5(x3783),x3784),x3781),f29(f29(f5(x3783),x3784),x3782)) % 1.28/1.43 [379]~P16(x3793)+E(x3791,x3792)+~E(f29(f29(f5(x3793),x3794),x3791),f29(f29(f5(x3793),x3794),x3792)) % 1.28/1.43 [380]~P16(x3803)+E(x3801,x3802)+~E(f29(f29(f5(x3803),x3801),x3804),f29(f29(f5(x3803),x3802),x3804)) % 1.28/1.43 [438]~P5(x4384,x4383,a1)+P5(x4381,x4382,a1)+~E(f29(f29(f5(a1),x4381),x4383),f29(f29(f5(a1),x4384),x4382)) % 1.28/1.43 [468]~P12(x4681)+~P5(x4682,x4684,x4681)+P5(f29(f29(f5(x4681),x4682),x4683),f29(f29(f5(x4681),x4684),x4683),x4681) % 1.28/1.43 [469]~P19(x4691)+~P5(x4692,x4694,x4691)+P5(f29(f29(f5(x4691),x4692),x4693),f29(f29(f5(x4691),x4694),x4693),x4691) % 1.28/1.43 [470]~P12(x4701)+~P5(x4703,x4704,x4701)+P5(f29(f29(f5(x4701),x4702),x4703),f29(f29(f5(x4701),x4702),x4704),x4701) % 1.28/1.43 [471]~P19(x4711)+~P5(x4713,x4714,x4711)+P5(f29(f29(f5(x4711),x4712),x4713),f29(f29(f5(x4711),x4712),x4714),x4711) % 1.28/1.43 [480]P3(x4801,x4802,x4803)+~P3(x4801,x4804,x4803)+~P31(f29(f29(f30(a10,a15),x4804),x4802)) % 1.28/1.43 [481]~P5(x4812,x4814,a1)+~P5(x4811,x4813,a1)+P5(f29(f29(f5(a1),x4811),x4812),f29(f29(f5(a1),x4813),x4814),a1) % 1.28/1.43 [492]P8(x4921,x4922,x4923)+~P8(x4921,x4924,x4923)+~P31(f29(f29(f30(x4921,x4923),x4922),x4924)) % 1.28/1.43 [498]~P19(x4983)+P5(x4981,x4982,x4983)+~P5(f29(f29(f5(x4983),x4984),x4981),f29(f29(f5(x4983),x4984),x4982),x4983) % 1.28/1.43 [499]~P19(x4993)+P5(x4991,x4992,x4993)+~P5(f29(f29(f5(x4993),x4991),x4994),f29(f29(f5(x4993),x4992),x4994),x4993) % 1.28/1.43 [540]~P31(f29(f29(f30(a10,a15),x5401),x5403))+~P31(f29(f29(f30(a10,a15),x5402),x5404))+P31(f29(f29(f30(a10,a15),f29(f29(a11,x5401),x5402)),f29(f29(a11,x5403),x5404))) % 1.28/1.43 [571]~P9(x5711,x5713,x5715)+~P3(x5711,x5712,f26(a34,x5715,x5714,a47,a47))+P3(x5711,f23(a11,x5712,x5713,a15,a15),x5714) % 1.28/1.43 [483]~P3(x4831,x4833,x4835)+~P3(x4831,x4832,f29(f29(a34,x4835),x4834))+P3(x4831,f29(f29(a11,x4832),x4833),x4834) % 1.28/1.43 [580]E(x5801,x5802)+~P3(x5803,f23(a11,f3(x5804),x5805,a15,a15),x5801)+~P3(x5803,f23(a11,f3(x5804),x5805,a15,a15),x5802) % 1.28/1.43 [506]~P31(f29(f29(x5061,x5065),x5064))+~P31(f29(f29(f30(x5061,x5062),x5063),x5065))+P31(f29(f29(f30(x5061,x5062),x5063),x5064)) % 1.28/1.43 [507]~P31(f29(f29(x5071,x5073),x5075))+~P31(f29(f29(f30(x5071,x5072),x5075),x5074))+P31(f29(f29(f30(x5071,x5072),x5073),x5074)) % 1.28/1.43 [519]~P31(f29(f29(f30(x5191,x5192),x5193),x5195))+P31(f29(f29(f30(x5191,x5192),x5193),x5194))+~P31(f29(f29(f30(x5191,x5192),x5195),x5194)) % 1.28/1.43 [478]~P10(x4781)+E(f29(f29(f5(x4781),x4782),x4783),x4784)+~E(f29(f29(f5(x4781),x4782),f29(f29(f5(x4781),x4785),x4783)),f29(f29(f5(x4781),x4785),x4784)) % 1.28/1.43 [517]E(x5171,x5172)+E(x5173,x5174)+~P6(x5175,f22(x5174,x5172,x5176),f22(x5173,x5171,x5176),x5176) % 1.28/1.43 [535]E(x5351,x5352)+P6(x5353,x5351,x5352,x5354)+~P6(x5353,f22(x5355,x5351,x5354),f22(x5356,x5352,x5354),x5354) % 1.28/1.43 [541]~P3(x5411,x5413,x5416)+P3(x5411,f20(x5412,x5413,x5414),x5415)+~P3(f35(x5411,x5414,x5416,a47),x5412,x5415) % 1.28/1.43 [521]E(x5211,x5212)+~P6(x5213,f22(x5212,x5214,x5215),f22(x5211,x5216,x5215),x5215)+P31(f29(f29(x5213,x5212),x5211)) % 1.28/1.43 [537]P6(x5371,x5372,x5373,x5374)+~P6(x5371,f22(x5375,x5372,x5374),f22(x5376,x5373,x5374),x5374)+P31(f29(f29(x5371,x5375),x5376)) % 1.28/1.43 [357]P5(x3571,x3572,x3573)+~P29(x3573)+E(x3571,x3572)+P5(x3572,x3571,x3573) % 1.28/1.43 [361]P5(x3611,x3612,x3613)+~P26(x3613)+E(x3611,x3612)+P5(x3612,x3611,x3613) % 1.28/1.43 [344]~P28(x3443)+~P7(x3443)+E(x3441,x3442)+~E(f6(x3441,x3442,x3443),f4(x3443)) % 1.28/1.43 [342]~P28(x3422)+~P7(x3422)+E(x3421,f4(x3422))+~E(f29(f29(f5(x3422),x3423),x3421),x3423) % 1.28/1.43 [474]~P22(x4741)+~P5(f4(x4741),x4743,x4741)+~P5(f4(x4741),x4742,x4741)+P5(f4(x4741),f29(f29(f5(x4741),x4742),x4743),x4741) % 1.28/1.43 [475]~P22(x4751)+~P5(x4753,f4(x4751),x4751)+~P5(x4752,f4(x4751),x4751)+P5(f29(f29(f5(x4751),x4752),x4753),f4(x4751),x4751) % 1.28/1.43 [415]~P25(x4153)+~P5(x4151,x4154,x4153)+P5(x4151,x4152,x4153)+~P5(x4154,x4152,x4153) % 1.28/1.43 [416]~P27(x4163)+~P5(x4161,x4164,x4163)+P5(x4161,x4162,x4163)+~P5(x4164,x4162,x4163) % 1.28/1.43 [543]~P3(x5433,x5431,a51)+~P3(f35(x5433,x5432,a51,a47),a50,x5434)+~P31(f29(a8,x5431))+P31(f29(a8,f20(a50,x5431,x5432))) % 1.28/1.43 [390]~P28(x3903)+~P7(x3903)+E(x3901,x3902)+~E(f29(f29(f5(x3903),x3904),x3901),f29(f29(f5(x3903),x3904),x3902)) % 1.28/1.43 [466]~P21(x4662)+~P5(x4661,x4664,x4662)+~P5(f4(x4662),x4663,x4662)+P5(x4661,f29(f29(f5(x4662),x4663),x4664),x4662) % 1.28/1.43 [588]~P3(x5883,x5881,a51)+~P3(f35(x5883,x5882,a51,a47),f23(a11,f20(a58,a50,f4(a1)),a55,a15,a15),x5884)+~P31(f29(a8,x5881))+P31(f29(a8,f20(f23(a11,f20(a58,a50,f4(a1)),a55,a15,a15),x5881,x5882))) % 1.28/1.43 [456]~P20(x4563)+~P5(x4564,x4565,x4563)+P5(x4561,x4562,x4563)+~E(f6(x4564,x4565,x4563),f6(x4561,x4562,x4563)) % 1.28/1.43 [457]~P20(x4573)+~P5(x4574,x4575,x4573)+P5(x4571,x4572,x4573)+~E(f6(x4571,x4572,x4573),f6(x4574,x4575,x4573)) % 1.28/1.43 [494]~P12(x4941)+~P5(x4943,x4945,x4941)+~P5(x4942,x4944,x4941)+P5(f29(f29(f5(x4941),x4942),x4943),f29(f29(f5(x4941),x4944),x4945),x4941) % 1.28/1.43 [589]~P9(x5891,x5895,x5896)+P9(x5891,x5892,f44(x5893,x5894,x5891,x5892))+~P3(x5891,f23(a11,f3(x5897),x5895,a15,a15),x5894)+~P3(x5891,f23(a11,f23(a11,f3(x5897),x5895,a15,a15),x5892,a15,a15),x5893) % 1.28/1.43 [591]~P9(x5913,x5915,x5916)+~P3(x5913,f23(a11,f3(x5917),x5915,a15,a15),x5912)+~P3(x5913,f23(a11,f23(a11,f3(x5917),x5915,a15,a15),x5914,a15,a15),x5911)+E(f26(a34,f44(x5911,x5912,x5913,x5914),x5911,a47,a47),x5912) % 1.28/1.43 [544]~P3(x5446,x5442,x5445)+~P3(f35(x5446,x5443,x5445,a47),x5441,x5447)+~P31(f29(a8,x5442))+~P31(f29(a8,x5441))+~E(f29(f29(a34,x5444),x5445),a51)+P31(f29(a8,f20(x5441,x5442,x5443))) % 1.28/1.43 [545]~P3(x5456,x5452,x5454)+~P3(f35(x5456,x5453,x5454,a47),x5451,x5457)+~P31(f29(a8,x5452))+~P31(f29(a8,x5451))+~E(f29(f29(a34,x5454),x5455),a51)+P31(f29(a8,f20(x5451,x5452,x5453))) % 1.28/1.43 %EqnAxiom % 1.28/1.43 [1]E(x11,x11) % 1.28/1.43 [2]E(x22,x21)+~E(x21,x22) % 1.28/1.43 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 1.28/1.43 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 1.28/1.43 [5]~E(x51,x52)+E(f12(x51),f12(x52)) % 1.28/1.43 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 1.28/1.43 [7]~E(x71,x72)+E(f23(x71,x73,x74,x75,x76),f23(x72,x73,x74,x75,x76)) % 1.28/1.43 [8]~E(x81,x82)+E(f23(x83,x81,x84,x85,x86),f23(x83,x82,x84,x85,x86)) % 1.28/1.43 [9]~E(x91,x92)+E(f23(x93,x94,x91,x95,x96),f23(x93,x94,x92,x95,x96)) % 1.28/1.43 [10]~E(x101,x102)+E(f23(x103,x104,x105,x101,x106),f23(x103,x104,x105,x102,x106)) % 1.28/1.43 [11]~E(x111,x112)+E(f23(x113,x114,x115,x116,x111),f23(x113,x114,x115,x116,x112)) % 1.28/1.43 [12]~E(x121,x122)+E(f16(x121,x123),f16(x122,x123)) % 1.28/1.43 [13]~E(x131,x132)+E(f16(x133,x131),f16(x133,x132)) % 1.28/1.43 [14]~E(x141,x142)+E(f29(x141,x143),f29(x142,x143)) % 1.28/1.43 [15]~E(x151,x152)+E(f29(x153,x151),f29(x153,x152)) % 1.28/1.43 [16]~E(x161,x162)+E(f20(x161,x163,x164),f20(x162,x163,x164)) % 1.28/1.43 [17]~E(x171,x172)+E(f20(x173,x171,x174),f20(x173,x172,x174)) % 1.28/1.43 [18]~E(x181,x182)+E(f20(x183,x184,x181),f20(x183,x184,x182)) % 1.28/1.43 [19]~E(x191,x192)+E(f6(x191,x193,x194),f6(x192,x193,x194)) % 1.28/1.43 [20]~E(x201,x202)+E(f6(x203,x201,x204),f6(x203,x202,x204)) % 1.28/1.43 [21]~E(x211,x212)+E(f6(x213,x214,x211),f6(x213,x214,x212)) % 1.28/1.43 [22]~E(x221,x222)+E(f19(x221,x223),f19(x222,x223)) % 1.28/1.43 [23]~E(x231,x232)+E(f19(x233,x231),f19(x233,x232)) % 1.28/1.43 [24]~E(x241,x242)+E(f17(x241),f17(x242)) % 1.28/1.43 [25]~E(x251,x252)+E(f46(x251),f46(x252)) % 1.28/1.43 [26]~E(x261,x262)+E(f35(x261,x263,x264,x265),f35(x262,x263,x264,x265)) % 1.28/1.43 [27]~E(x271,x272)+E(f35(x273,x271,x274,x275),f35(x273,x272,x274,x275)) % 1.28/1.43 [28]~E(x281,x282)+E(f35(x283,x284,x281,x285),f35(x283,x284,x282,x285)) % 1.28/1.43 [29]~E(x291,x292)+E(f35(x293,x294,x295,x291),f35(x293,x294,x295,x292)) % 1.28/1.43 [30]~E(x301,x302)+E(f28(x301,x303),f28(x302,x303)) % 1.28/1.43 [31]~E(x311,x312)+E(f28(x313,x311),f28(x313,x312)) % 1.28/1.43 [32]~E(x321,x322)+E(f7(x321),f7(x322)) % 1.28/1.43 [33]~E(x331,x332)+E(f5(x331),f5(x332)) % 1.28/1.43 [34]~E(x341,x342)+E(f9(x341),f9(x342)) % 1.28/1.43 [35]~E(x351,x352)+E(f27(x351,x353,x354),f27(x352,x353,x354)) % 1.28/1.43 [36]~E(x361,x362)+E(f27(x363,x361,x364),f27(x363,x362,x364)) % 1.28/1.43 [37]~E(x371,x372)+E(f27(x373,x374,x371),f27(x373,x374,x372)) % 1.28/1.43 [38]~E(x381,x382)+E(f13(x381,x383,x384,x385,x386),f13(x382,x383,x384,x385,x386)) % 1.28/1.43 [39]~E(x391,x392)+E(f13(x393,x391,x394,x395,x396),f13(x393,x392,x394,x395,x396)) % 1.28/1.43 [40]~E(x401,x402)+E(f13(x403,x404,x401,x405,x406),f13(x403,x404,x402,x405,x406)) % 1.28/1.43 [41]~E(x411,x412)+E(f13(x413,x414,x415,x411,x416),f13(x413,x414,x415,x412,x416)) % 1.28/1.43 [42]~E(x421,x422)+E(f13(x423,x424,x425,x426,x421),f13(x423,x424,x425,x426,x422)) % 1.28/1.43 [43]~E(x431,x432)+E(f22(x431,x433,x434),f22(x432,x433,x434)) % 1.28/1.43 [44]~E(x441,x442)+E(f22(x443,x441,x444),f22(x443,x442,x444)) % 1.28/1.43 [45]~E(x451,x452)+E(f22(x453,x454,x451),f22(x453,x454,x452)) % 1.28/1.43 [46]~E(x461,x462)+E(f26(x461,x463,x464,x465,x466),f26(x462,x463,x464,x465,x466)) % 1.28/1.43 [47]~E(x471,x472)+E(f26(x473,x471,x474,x475,x476),f26(x473,x472,x474,x475,x476)) % 1.28/1.43 [48]~E(x481,x482)+E(f26(x483,x484,x481,x485,x486),f26(x483,x484,x482,x485,x486)) % 1.28/1.43 [49]~E(x491,x492)+E(f26(x493,x494,x495,x491,x496),f26(x493,x494,x495,x492,x496)) % 1.28/1.43 [50]~E(x501,x502)+E(f26(x503,x504,x505,x506,x501),f26(x503,x504,x505,x506,x502)) % 1.28/1.43 [51]~E(x511,x512)+E(f31(x511,x513,x514),f31(x512,x513,x514)) % 1.28/1.43 [52]~E(x521,x522)+E(f31(x523,x521,x524),f31(x523,x522,x524)) % 1.28/1.43 [53]~E(x531,x532)+E(f31(x533,x534,x531),f31(x533,x534,x532)) % 1.28/1.43 [54]~E(x541,x542)+E(f30(x541,x543),f30(x542,x543)) % 1.28/1.43 [55]~E(x551,x552)+E(f30(x553,x551),f30(x553,x552)) % 1.28/1.43 [56]~E(x561,x562)+E(f14(x561,x563,x564,x565,x566),f14(x562,x563,x564,x565,x566)) % 1.28/1.43 [57]~E(x571,x572)+E(f14(x573,x571,x574,x575,x576),f14(x573,x572,x574,x575,x576)) % 1.28/1.43 [58]~E(x581,x582)+E(f14(x583,x584,x581,x585,x586),f14(x583,x584,x582,x585,x586)) % 1.28/1.43 [59]~E(x591,x592)+E(f14(x593,x594,x595,x591,x596),f14(x593,x594,x595,x592,x596)) % 1.28/1.43 [60]~E(x601,x602)+E(f14(x603,x604,x605,x606,x601),f14(x603,x604,x605,x606,x602)) % 1.28/1.43 [61]~E(x611,x612)+E(f18(x611,x613,x614),f18(x612,x613,x614)) % 1.28/1.43 [62]~E(x621,x622)+E(f18(x623,x621,x624),f18(x623,x622,x624)) % 1.28/1.43 [63]~E(x631,x632)+E(f18(x633,x634,x631),f18(x633,x634,x632)) % 1.28/1.43 [64]~E(x641,x642)+E(f25(x641,x643,x644),f25(x642,x643,x644)) % 1.28/1.43 [65]~E(x651,x652)+E(f25(x653,x651,x654),f25(x653,x652,x654)) % 1.28/1.43 [66]~E(x661,x662)+E(f25(x663,x664,x661),f25(x663,x664,x662)) % 1.28/1.43 [67]~E(x671,x672)+E(f33(x671),f33(x672)) % 1.28/1.43 [68]~E(x681,x682)+E(f32(x681),f32(x682)) % 1.28/1.43 [69]~E(x691,x692)+E(f36(x691,x693,x694),f36(x692,x693,x694)) % 1.28/1.43 [70]~E(x701,x702)+E(f36(x703,x701,x704),f36(x703,x702,x704)) % 1.28/1.43 [71]~E(x711,x712)+E(f36(x713,x714,x711),f36(x713,x714,x712)) % 1.28/1.43 [72]~E(x721,x722)+E(f43(x721,x723,x724,x725),f43(x722,x723,x724,x725)) % 1.28/1.43 [73]~E(x731,x732)+E(f43(x733,x731,x734,x735),f43(x733,x732,x734,x735)) % 1.28/1.43 [74]~E(x741,x742)+E(f43(x743,x744,x741,x745),f43(x743,x744,x742,x745)) % 1.28/1.43 [75]~E(x751,x752)+E(f43(x753,x754,x755,x751),f43(x753,x754,x755,x752)) % 1.28/1.43 [76]~E(x761,x762)+E(f21(x761,x763),f21(x762,x763)) % 1.28/1.43 [77]~E(x771,x772)+E(f21(x773,x771),f21(x773,x772)) % 1.28/1.43 [78]~E(x781,x782)+E(f40(x781,x783,x784,x785),f40(x782,x783,x784,x785)) % 1.28/1.43 [79]~E(x791,x792)+E(f40(x793,x791,x794,x795),f40(x793,x792,x794,x795)) % 1.28/1.43 [80]~E(x801,x802)+E(f40(x803,x804,x801,x805),f40(x803,x804,x802,x805)) % 1.28/1.43 [81]~E(x811,x812)+E(f40(x813,x814,x815,x811),f40(x813,x814,x815,x812)) % 1.28/1.43 [82]~E(x821,x822)+E(f42(x821,x823,x824),f42(x822,x823,x824)) % 1.28/1.43 [83]~E(x831,x832)+E(f42(x833,x831,x834),f42(x833,x832,x834)) % 1.28/1.43 [84]~E(x841,x842)+E(f42(x843,x844,x841),f42(x843,x844,x842)) % 1.28/1.43 [85]~E(x851,x852)+E(f38(x851,x853),f38(x852,x853)) % 1.28/1.43 [86]~E(x861,x862)+E(f38(x863,x861),f38(x863,x862)) % 1.28/1.43 [87]~E(x871,x872)+E(f39(x871,x873,x874,x875),f39(x872,x873,x874,x875)) % 1.28/1.43 [88]~E(x881,x882)+E(f39(x883,x881,x884,x885),f39(x883,x882,x884,x885)) % 1.28/1.43 [89]~E(x891,x892)+E(f39(x893,x894,x891,x895),f39(x893,x894,x892,x895)) % 1.28/1.43 [90]~E(x901,x902)+E(f39(x903,x904,x905,x901),f39(x903,x904,x905,x902)) % 1.28/1.43 [91]~E(x911,x912)+E(f48(x911,x913),f48(x912,x913)) % 1.28/1.43 [92]~E(x921,x922)+E(f48(x923,x921),f48(x923,x922)) % 1.28/1.43 [93]~E(x931,x932)+E(f44(x931,x933,x934,x935),f44(x932,x933,x934,x935)) % 1.28/1.43 [94]~E(x941,x942)+E(f44(x943,x941,x944,x945),f44(x943,x942,x944,x945)) % 1.28/1.43 [95]~E(x951,x952)+E(f44(x953,x954,x951,x955),f44(x953,x954,x952,x955)) % 1.28/1.43 [96]~E(x961,x962)+E(f44(x963,x964,x965,x961),f44(x963,x964,x965,x962)) % 1.28/1.43 [97]~E(x971,x972)+E(f37(x971,x973),f37(x972,x973)) % 1.28/1.43 [98]~E(x981,x982)+E(f37(x983,x981),f37(x983,x982)) % 1.28/1.43 [99]~E(x991,x992)+E(f41(x991,x993,x994,x995),f41(x992,x993,x994,x995)) % 1.28/1.43 [100]~E(x1001,x1002)+E(f41(x1003,x1001,x1004,x1005),f41(x1003,x1002,x1004,x1005)) % 1.28/1.43 [101]~E(x1011,x1012)+E(f41(x1013,x1014,x1011,x1015),f41(x1013,x1014,x1012,x1015)) % 1.28/1.43 [102]~E(x1021,x1022)+E(f41(x1023,x1024,x1025,x1021),f41(x1023,x1024,x1025,x1022)) % 1.28/1.43 [103]~E(x1031,x1032)+E(f24(x1031,x1033,x1034,x1035),f24(x1032,x1033,x1034,x1035)) % 1.28/1.43 [104]~E(x1041,x1042)+E(f24(x1043,x1041,x1044,x1045),f24(x1043,x1042,x1044,x1045)) % 1.28/1.43 [105]~E(x1051,x1052)+E(f24(x1053,x1054,x1051,x1055),f24(x1053,x1054,x1052,x1055)) % 1.28/1.43 [106]~E(x1061,x1062)+E(f24(x1063,x1064,x1065,x1061),f24(x1063,x1064,x1065,x1062)) % 1.28/1.43 [107]~P1(x1071)+P1(x1072)+~E(x1071,x1072) % 1.28/1.43 [108]~P11(x1081)+P11(x1082)+~E(x1081,x1082) % 1.28/1.43 [109]~P12(x1091)+P12(x1092)+~E(x1091,x1092) % 1.28/1.43 [110]~P13(x1101)+P13(x1102)+~E(x1101,x1102) % 1.28/1.43 [111]~P21(x1111)+P21(x1112)+~E(x1111,x1112) % 1.28/1.43 [112]~P19(x1121)+P19(x1122)+~E(x1121,x1122) % 1.28/1.43 [113]~P30(x1131)+P30(x1132)+~E(x1131,x1132) % 1.28/1.43 [114]~P22(x1141)+P22(x1142)+~E(x1141,x1142) % 1.28/1.43 [115]~P2(x1151)+P2(x1152)+~E(x1151,x1152) % 1.28/1.43 [116]~P23(x1161)+P23(x1162)+~E(x1161,x1162) % 1.28/1.43 [117]~P24(x1171)+P24(x1172)+~E(x1171,x1172) % 1.28/1.43 [118]~P14(x1181)+P14(x1182)+~E(x1181,x1182) % 1.28/1.43 [119]~P15(x1191)+P15(x1192)+~E(x1191,x1192) % 1.28/1.43 [120]~P16(x1201)+P16(x1202)+~E(x1201,x1202) % 1.28/1.43 [121]~P25(x1211)+P25(x1212)+~E(x1211,x1212) % 1.28/1.43 [122]P3(x1222,x1223,x1224)+~E(x1221,x1222)+~P3(x1221,x1223,x1224) % 1.28/1.43 [123]P3(x1233,x1232,x1234)+~E(x1231,x1232)+~P3(x1233,x1231,x1234) % 1.28/1.43 [124]P3(x1243,x1244,x1242)+~E(x1241,x1242)+~P3(x1243,x1244,x1241) % 1.28/1.43 [125]~P27(x1251)+P27(x1252)+~E(x1251,x1252) % 1.28/1.43 [126]~P31(x1261)+P31(x1262)+~E(x1261,x1262) % 1.28/1.43 [127]~P26(x1271)+P26(x1272)+~E(x1271,x1272) % 1.28/1.43 [128]P6(x1282,x1283,x1284,x1285)+~E(x1281,x1282)+~P6(x1281,x1283,x1284,x1285) % 1.28/1.43 [129]P6(x1293,x1292,x1294,x1295)+~E(x1291,x1292)+~P6(x1293,x1291,x1294,x1295) % 1.28/1.43 [130]P6(x1303,x1304,x1302,x1305)+~E(x1301,x1302)+~P6(x1303,x1304,x1301,x1305) % 1.28/1.43 [131]P6(x1313,x1314,x1315,x1312)+~E(x1311,x1312)+~P6(x1313,x1314,x1315,x1311) % 1.28/1.43 [132]P5(x1322,x1323,x1324)+~E(x1321,x1322)+~P5(x1321,x1323,x1324) % 1.28/1.43 [133]P5(x1333,x1332,x1334)+~E(x1331,x1332)+~P5(x1333,x1331,x1334) % 1.28/1.43 [134]P5(x1343,x1344,x1342)+~E(x1341,x1342)+~P5(x1343,x1344,x1341) % 1.28/1.43 [135]~P20(x1351)+P20(x1352)+~E(x1351,x1352) % 1.28/1.43 [136]~P7(x1361)+P7(x1362)+~E(x1361,x1362) % 1.28/1.43 [137]P8(x1372,x1373,x1374)+~E(x1371,x1372)+~P8(x1371,x1373,x1374) % 1.28/1.43 [138]P8(x1383,x1382,x1384)+~E(x1381,x1382)+~P8(x1383,x1381,x1384) % 1.28/1.43 [139]P8(x1393,x1394,x1392)+~E(x1391,x1392)+~P8(x1393,x1394,x1391) % 1.28/1.43 [140]~P32(x1401)+P32(x1402)+~E(x1401,x1402) % 1.28/1.43 [141]P4(x1412,x1413,x1414)+~E(x1411,x1412)+~P4(x1411,x1413,x1414) % 1.28/1.43 [142]P4(x1423,x1422,x1424)+~E(x1421,x1422)+~P4(x1423,x1421,x1424) % 1.28/1.43 [143]P4(x1433,x1434,x1432)+~E(x1431,x1432)+~P4(x1433,x1434,x1431) % 1.28/1.43 [144]~P10(x1441)+P10(x1442)+~E(x1441,x1442) % 1.28/1.43 [145]~P17(x1451)+P17(x1452)+~E(x1451,x1452) % 1.28/1.43 [146]~P18(x1461)+P18(x1462)+~E(x1461,x1462) % 1.28/1.43 [147]~P28(x1471)+P28(x1472)+~E(x1471,x1472) % 1.28/1.43 [148]P9(x1482,x1483,x1484)+~E(x1481,x1482)+~P9(x1481,x1483,x1484) % 1.28/1.43 [149]P9(x1493,x1492,x1494)+~E(x1491,x1492)+~P9(x1493,x1491,x1494) % 1.28/1.43 [150]P9(x1503,x1504,x1502)+~E(x1501,x1502)+~P9(x1503,x1504,x1501) % 1.28/1.43 [151]~P29(x1511)+P29(x1512)+~E(x1511,x1512) % 1.28/1.43 % 1.28/1.43 %------------------------------------------- % 1.28/1.43 cnf(803,plain, % 1.28/1.43 (~P3(f35(a54,a57,a51,a47),f29(f29(a11,f9(a58)),a50),x8031)), % 1.28/1.43 inference(scs_inference,[],[273,532])). % 1.28/1.43 cnf(1014,plain, % 1.28/1.43 (~P3(f35(a54,a57,a51,a47),f29(f29(a11,f9(a58)),a50),x10141)), % 1.28/1.43 inference(rename_variables,[],[803])). % 1.28/1.43 cnf(1016,plain, % 1.28/1.43 ($false), % 1.28/1.43 inference(scs_inference,[],[803,1014,267,555,572]), % 1.28/1.43 ['proof']). % 1.28/1.43 % SZS output end Proof % 1.28/1.43 % Total time :0.749514s %------------------------------------------------------------------------------