%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : LCL816-1 : 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 : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:19:55 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.69s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL816-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.01 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.03/0.30 % Computer : n012.cluster.edu % 0.03/0.30 % Model : x86_64 x86_64 % 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.30 % Memory : 8046.5625MB % 0.03/0.30 % OS : Linux 6.8.0-71-generic % 0.03/0.30 % CPULimit : 300 % 0.03/0.30 % WCLimit : 300 % 0.03/0.30 % DateTime : Sat Sep 5 10:46:42 UTC 2026 % 0.03/0.30 % CPUTime : % 0.08/0.38 start to proof:theBenchmark % 0.40/0.66 %------------------------------------------- % 0.40/0.66 % File :CSE---1.7 % 0.40/0.66 % Problem :theBenchmark % 0.40/0.66 % Transform :cnf % 0.40/0.66 % Format :tptp:raw % 0.40/0.66 % Command :java -jar mcs_scs.jar %d %s % 0.40/0.66 % 0.40/0.66 % Result :Theorem 0.220040s % 0.40/0.66 % Output :CNFRefutation 0.220040s % 0.40/0.66 %------------------------------------------- % 0.40/0.66 %------------------------------------------------------------------------------ % 0.40/0.66 % File : LCL816-1 : TPTP v9.3.1. Released v4.1.0. % 0.40/0.66 % Domain : Logic Calculi % 0.40/0.66 % Problem : Strong normalization of typed lambda calculus 182_15 % 0.40/0.66 % Version : Especial. % 0.40/0.66 % English : % 0.40/0.66 % 0.40/0.66 % Refs : [vON99] von Oheimb & Nipkow (1999), Machine-Checking the Java % 0.40/0.66 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 0.40/0.66 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 0.40/0.66 % Source : [Nip10] % 0.40/0.66 % Names : StrongNorm-182_15 [Nip10] % 0.40/0.66 % 0.40/0.66 % Status : Unsatisfiable % 0.40/0.66 % Rating : 0.17 v9.3.0, 0.14 v9.1.0, 0.15 v8.2.0, 0.14 v8.1.0, 0.11 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.27 v6.4.0, 0.20 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.20 v5.5.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.36 v4.1.0 % 0.40/0.66 % Syntax : Number of clauses : 506 ( 173 unt; 53 nHn; 298 RR) % 0.40/0.66 % Number of literals : 1092 ( 373 equ; 572 neg) % 0.40/0.66 % Maximal clause size : 6 ( 2 avg) % 0.40/0.66 % Maximal term depth : 9 ( 2 avg) % 0.40/0.66 % Number of predicates : 40 ( 39 usr; 0 prp; 1-4 aty) % 0.40/0.66 % Number of functors : 55 ( 55 usr; 21 con; 0-6 aty) % 0.40/0.66 % Number of variables : 1449 ( 210 sgn) % 0.40/0.66 % SPC : CNF_UNS_RFO_SEQ_NHN % 0.40/0.66 % 0.40/0.66 % Comments : % 0.40/0.66 %------------------------------------------------------------------------------ % 0.40/0.66 cnf(cls_Cons__step1__Cons_5,axiom, % 0.40/0.66 ( 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) % 0.40/0.66 | ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_xt1_I11_J_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.66 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.40/0.66 | V_a = V_b % 0.40/0.66 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_xt1_I12_J_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.66 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.40/0.66 | ~ c_lessequals(V_b,V_a,T_a) % 0.40/0.66 | V_a = V_b ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_order__le__less_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.66 | V_x = V_y % 0.40/0.66 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.66 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_order__less__le_2,axiom, % 0.40/0.66 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.66 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.66 | V_x = V_y % 0.40/0.66 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_order__le__neq__trans_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.66 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/0.66 | V_a = V_b % 0.40/0.66 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_order__neq__le__trans_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.66 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/0.66 | ~ c_lessequals(V_a,V_b,T_a) % 0.40/0.66 | V_a = V_b ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_linorder__antisym__conv1_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.66 | V_x = V_y % 0.40/0.66 | ~ c_lessequals(V_x,V_y,T_a) % 0.40/0.66 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_linorder__antisym__conv2_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.66 | V_x = V_y % 0.40/0.66 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.66 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_linorder__linear_0,axiom, % 0.40/0.66 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.66 | c_lessequals(V_y,V_x,T_a) % 0.40/0.66 | c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_not__one__less__zero_0,axiom, % 0.40/0.66 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.66 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_zero__less__one_0,axiom, % 0.40/0.66 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.66 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_add__nonneg__nonneg_0,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.66 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.66 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.66 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_add__increasing_0,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.66 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.66 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.40/0.66 | ~ c_lessequals(V_b,V_c,T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_add__increasing2_0,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.66 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.66 | c_lessequals(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.40/0.66 | ~ c_lessequals(V_b,V_a,T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.40/0.66 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != c_HOL_Ozero__class_Ozero(T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 0.40/0.66 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 0.40/0.66 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.66 % 0.40/0.66 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 0.40/0.66 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.66 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.67 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.67 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__nonpos__nonpos_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.67 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.67 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__less__le__mono_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.40/0.67 | ~ c_lessequals(V_c,V_d,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__le__less__mono_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.40/0.67 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_less__add__one_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_zero__le__imp__of__nat_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_of__nat__0__le__iff_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__gr__0_1,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__gr__0_2,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__gr__0_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/0.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__mono_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_lessequals(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/0.67 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_zero__le__power_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__1_0,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/0.67 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__1_3,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__is__add_0,axiom, % 0.40/0.67 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.40/0.67 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/0.67 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__is__add_3,axiom, % 0.40/0.67 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.40/0.67 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__is__add_5,axiom, % 0.40/0.67 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__1_4,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__is__add_1,axiom, % 0.40/0.67 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.40/0.67 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__is__add_2,axiom, % 0.40/0.67 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) % 0.40/0.67 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/0.67 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__is__add_4,axiom, % 0.40/0.67 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__1_5,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__1_1,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__1_2,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 0.40/0.67 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/0.67 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__inject__exp_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.40/0.67 | V_m = V_n ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_of__nat__add_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.40/0.67 | c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a)) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_less__add__Suc1_0,axiom, % 0.40/0.67 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_m)),tc_nat) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_less__add__Suc2_0,axiom, % 0.40/0.67 c_HOL_Oord__class_Oless(V_i,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_i)),tc_nat) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_less__iff__Suc__add_1,axiom, % 0.40/0.67 c_HOL_Oord__class_Oless(V_m,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_x)),tc_nat) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__0_0,axiom, % 0.40/0.67 ( ~ class_Power_Opower(T_a) % 0.40/0.67 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_class__semiring_Opwr__0_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.67 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_liftn_Osimps_I1_J_0,axiom, % 0.40/0.67 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(V_i) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_liftn__lift_0,axiom, % 0.40/0.67 c_Lambda_Oliftn(c_Suc(V_n),V_t,V_k) = hAPP(hAPP(c_Lambda_Olift,c_Lambda_Oliftn(V_n,V_t,V_k)),V_k) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_Cons__step1__Cons_1,axiom, % 0.40/0.67 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.40/0.67 | hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.40/0.67 | ~ 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) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_le__add__right__mono_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 0.40/0.67 | c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.40/0.67 | ~ c_lessequals(V_c,V_d,T_a) % 0.40/0.67 | ~ c_lessequals(V_a,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__less__le__trans_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.40/0.67 | ~ c_lessequals(V_y,V_z,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__le__less__trans_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.40/0.67 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__eq__refl_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.67 | c_lessequals(V_x,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__eq__iff_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | c_lessequals(V_x,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__trans_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.67 | c_lessequals(V_x,V_z,T_a) % 0.40/0.67 | ~ c_lessequals(V_y,V_z,T_a) % 0.40/0.67 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_xt1_I8_J_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.40/0.67 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_xt1_I7_J_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.40/0.67 | ~ c_lessequals(V_z,V_y,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_xt1_I6_J_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | c_lessequals(V_z,V_x,T_a) % 0.40/0.67 | ~ c_lessequals(V_z,V_y,T_a) % 0.40/0.67 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_nat__add__left__cancel__less_1,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_nat__add__left__cancel__less_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n),tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__less__mono1_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_k),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_not__add__less2_0,axiom, % 0.40/0.67 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_i),V_i,tc_nat) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_not__add__less1_0,axiom, % 0.40/0.67 ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_i,tc_nat) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__left__mono_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.40/0.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.40/0.67 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__right__mono_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.40/0.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.40/0.67 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__le__cancel__left_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.67 | c_lessequals(V_a,V_b,T_a) % 0.40/0.67 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__le__cancel__left_1,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.40/0.67 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__le__cancel__right_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.67 | c_lessequals(V_a,V_b,T_a) % 0.40/0.67 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__le__cancel__right_1,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.40/0.67 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__less__imp__le_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.67 | c_lessequals(V_x,V_y,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__le__less_1,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | c_lessequals(V_x,V_y,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__less__mono_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_k),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_l),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__antisym__conv_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | V_x = V_y % 0.40/0.67 | ~ c_lessequals(V_x,V_y,T_a) % 0.40/0.67 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__antisym_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | V_x = V_y % 0.40/0.67 | ~ c_lessequals(V_y,V_x,T_a) % 0.40/0.67 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_order__eq__iff_2,axiom, % 0.40/0.67 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.67 | V_x = V_y % 0.40/0.67 | ~ c_lessequals(V_y,V_x,T_a) % 0.40/0.67 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_not__one__le__zero_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_Cons__step1__Cons_3,axiom, % 0.40/0.67 ( c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.40/0.67 | V_xs = V_ys % 0.40/0.67 | ~ 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) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_liftn_Osimps_I1_J_1,axiom, % 0.40/0.67 ( c_Lambda_Oliftn(V_n,c_Lambda_OdB_OVar(V_i),V_k) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_n)) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_less__le__not__le_2,axiom, % 0.40/0.67 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.67 | c_lessequals(V_y,V_x,T_a) % 0.40/0.67 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_zero__le__one_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_not__step1__Nil_0,axiom, % 0.40/0.67 ~ c_ListOrder_Ostep1(V_r,V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_not__Nil__step1_0,axiom, % 0.40/0.67 ~ c_ListOrder_Ostep1(V_r,c_List_Olist_ONil(T_a),V_xs,T_a) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_less__add__eq__less_0,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_l) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_nat__add__commute_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_trans__less__add2_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_j),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_trans__less__add1_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(V_i,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_j),V_m),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__lessD1_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_i),V_j),V_k,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 0.40/0.67 ( c_HOL_Oord__class_Oless(V_x,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z),tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__Suc_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__Suc__right_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__le__power_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_Cons__step1__Cons_4,axiom, % 0.40/0.67 ( ~ hBOOL(hAPP(hAPP(V_r,V_y),V_xa)) % 0.40/0.67 | 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) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_Cons__step1__Cons_2,axiom, % 0.40/0.67 ( V_x = V_y % 0.40/0.67 | V_xs = V_ys % 0.40/0.67 | ~ 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) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_append__step1I_1,axiom, % 0.40/0.67 ( c_ListOrder_Ostep1(V_r,c_List_Oappend(V_x,V_vs,T_a),c_List_Oappend(V_x,V_us,T_a),T_a) % 0.40/0.67 | ~ c_ListOrder_Ostep1(V_r,V_vs,V_us,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_append__step1I_0,axiom, % 0.40/0.67 ( ~ c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.40/0.67 | c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,V_x,T_a),c_List_Oappend(V_xs,V_x,T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__mono_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 0.40/0.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.40/0.67 | ~ c_lessequals(V_c,V_d,T_a) % 0.40/0.67 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_nat__add__left__commute_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_nat__add__assoc_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)),V_k) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__one_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 0.40/0.67 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_not__leE_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.67 | c_lessequals(V_y,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_linorder__antisym__conv2_1,axiom, % 0.40/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.67 | ~ c_lessequals(V_x,V_x,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_linorder__antisym__conv1_1,axiom, % 0.40/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 0.40/0.67 | c_lessequals(V_x,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_linorder__not__less_1,axiom, % 0.40/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.67 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_linorder__not__less_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.67 | c_lessequals(V_y,V_x,T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_linorder__not__le_1,axiom, % 0.40/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.67 | ~ c_lessequals(V_x,V_y,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_linorder__not__le_0,axiom, % 0.40/0.67 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.40/0.67 | c_lessequals(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_less__le__not__le_1,axiom, % 0.40/0.67 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.67 | ~ c_lessequals(V_y,V_x,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__Suc__shift_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(V_m)),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_Suc(V_n)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_natgb_Oadd__cancel_0,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_z) % 0.40/0.67 | V_y = V_z ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_nat__add__right__cancel_0,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_k) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_k) % 0.40/0.67 | V_m = V_n ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_nat__add__left__cancel_0,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_m) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_k),V_n) % 0.40/0.67 | V_m = V_n ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_Cons__step1__Cons_0,axiom, % 0.40/0.67 ( V_x = V_y % 0.40/0.67 | hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.40/0.67 | ~ 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) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_one__neq__zero_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.40/0.67 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_zero__neq__one_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.40/0.67 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_liftn__0_0,axiom, % 0.40/0.67 c_Lambda_Oliftn(c_HOL_Ozero__class_Ozero(tc_nat),V_t,V_k) = V_t ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__0_1,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/0.67 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__0_0,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/0.67 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 0.40/0.67 ( V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),V_a) % 0.40/0.67 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__eq__self__zero_0,axiom, % 0.40/0.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m % 0.40/0.67 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__is__0_2,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 0.40/0.67 V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_x),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_plus__nat_Oadd__0_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),V_n) = V_n ). % 0.40/0.67 % 0.40/0.67 cnf(cls_Nat_Oadd__0__right_0,axiom, % 0.40/0.67 hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),c_HOL_Ozero__class_Ozero(tc_nat)) = V_m ). % 0.40/0.67 % 0.40/0.67 cnf(cls_liftn_Osimps_I2_J_0,axiom, % 0.40/0.67 c_Lambda_Oliftn(V_n,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Oliftn(V_n,V_s,V_k)),c_Lambda_Oliftn(V_n,V_t,V_k)) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__neg__nonpos_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.67 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__nonpos__neg_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.67 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__strict__increasing_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.67 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.40/0.67 | ~ c_lessequals(V_b,V_c,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__strict__increasing2_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.67 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__nonneg__pos_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_add__pos__nonneg_0,axiom, % 0.40/0.67 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_zero__less__two_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_HOL_Oone__class_Oone(T_a)),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__less__imp__less__base_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/0.67 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__0__left_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.40/0.67 | ~ class_Power_Opower(T_a) % 0.40/0.67 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__less__imp__less__exp_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__strict__increasing_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_a,V_N,T_a),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.40/0.67 % 0.40/0.67 cnf(cls_power__strict__increasing__iff_0,axiom, % 0.40/0.67 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.67 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.40/0.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__strict__increasing__iff_1,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_b,V_x,T_a),c_Power_Opower__class_Opower(V_b,V_y,T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__le__imp__le__base_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_lessequals(V_a,V_b,T_a) % 0.40/0.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.68 | ~ c_lessequals(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__inject__base_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a) != c_Power_Opower__class_Opower(V_b,c_Suc(V_n),T_a) % 0.40/0.68 | V_a = V_b % 0.40/0.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__gt1_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__Suc_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.40/0.68 | c_Nat_Osemiring__1__class_Oof__nat(c_Suc(V_m),T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Snoc__step1__SnocD_2,axiom, % 0.40/0.68 ( V_ys = V_xs % 0.40/0.68 | V_y = V_x % 0.40/0.68 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Snoc__step1__SnocD_3,axiom, % 0.40/0.68 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.40/0.68 | V_y = V_x % 0.40/0.68 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Snoc__step1__SnocD_1,axiom, % 0.40/0.68 ( hBOOL(hAPP(hAPP(V_r,V_y),V_x)) % 0.40/0.68 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.40/0.68 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Snoc__step1__SnocD_0,axiom, % 0.40/0.68 ( V_ys = V_xs % 0.40/0.68 | c_ListOrder_Ostep1(V_r,V_ys,V_xs,T_a) % 0.40/0.68 | ~ c_ListOrder_Ostep1(V_r,c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_apps__preserves__betas_0,axiom, % 0.40/0.68 ( 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))) % 0.40/0.68 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,V_rs,V_ss,tc_Lambda_OdB) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_substn__subst__n_0,axiom, % 0.40/0.68 c_Lambda_Osubstn(V_t,V_s,V_n) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),c_Lambda_Oliftn(V_n,V_s,c_HOL_Ozero__class_Ozero(tc_nat))),V_n) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__cancel__21_1,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Oadd__a_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y)),V_z) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_xt1_I10_J_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_order__less__trans_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_singleton__rev__conv_0,axiom, % 0.40/0.68 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a) % 0.40/0.68 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__in__listsp__conv_0,axiom, % 0.40/0.68 ( c_List_Olistsp(V_A,V_xs,T_a) % 0.40/0.68 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__in__listsp__conv_1,axiom, % 0.40/0.68 ( c_List_Olistsp(V_A,V_ys,T_a) % 0.40/0.68 | ~ c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__Suc0_0,axiom, % 0.40/0.68 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_head__Var__reduction_0,axiom, % 0.40/0.68 ( 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) % 0.40/0.68 | ~ 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)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Cons_0,axiom, % 0.40/0.68 v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__strict__mono_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_n,T_a),c_Power_Opower__class_Opower(V_b,V_n,T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/0.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osize_I3_J_0,axiom, % 0.40/0.68 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OAbs(V_dB)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osize_I2_J_0,axiom, % 0.40/0.68 c_Lambda_OdB_OdB__size(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Lambda_OdB_OdB__size(V_dB1)),c_Lambda_OdB_OdB__size(V_dB2))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_substn_Osimps_I1_J_1,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.40/0.68 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_x),V_s,V_x) = c_Lambda_Oliftn(V_x,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osize_I6_J_0,axiom, % 0.40/0.68 c_Nat_Osize__class_Osize(c_Lambda_OdB_OAbs(V_dB),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB,tc_Lambda_OdB)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osize_I5_J_0,axiom, % 0.40/0.68 c_Nat_Osize__class_Osize(hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2),tc_Lambda_OdB) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Nat_Osize__class_Osize(V_dB1,tc_Lambda_OdB)),c_Nat_Osize__class_Osize(V_dB2,tc_Lambda_OdB))),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_one__less__power_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__eq__imp__eq__base_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 0.40/0.68 | V_a = V_b % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/0.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__Suc__less__one_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,c_Suc(V_n),T_a),c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__strict__decreasing_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(V_a,V_N,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_d)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__cancel__21_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_z)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_u) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) = V_u ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev_Osimps_I2_J_0,axiom, % 0.40/0.68 c_List_Orev(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Oappend(c_List_Orev(V_xs,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_zero__less__Suc_0,axiom, % 0.40/0.68 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_gr0__conv__Suc_1,axiom, % 0.40/0.68 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__singleton__conv_1,axiom, % 0.40/0.68 c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__eq__Cons__iff_0,axiom, % 0.40/0.68 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) % 0.40/0.68 | V_xs = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__neg__neg_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__eq__Cons__conv_5,axiom, % 0.40/0.68 c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__Cons_0,axiom, % 0.40/0.68 c_List_Oappend(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Suc__lessI_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 0.40/0.68 | c_Suc(V_m) = V_n % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/0.68 | ~ class_Int_Onumber__ring(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_z) % 0.40/0.68 | V_y = V_z ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__imp__eq_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 0.40/0.68 | V_b = V_c ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__left__cancel_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) % 0.40/0.68 | V_b = V_c ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__right__cancel_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) % 0.40/0.68 | V_b = V_c ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Cons__eq__append__conv_5,axiom, % 0.40/0.68 c_List_Olist_OCons(V_x,c_List_Oappend(V_xa,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xa,T_a),V_zs,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Cons__eq__appendI_0,axiom, % 0.40/0.68 c_List_Olist_OCons(V_x,c_List_Oappend(V_xs1,V_zs,T_a),T_a) = c_List_Oappend(c_List_Olist_OCons(V_x,V_xs1,T_a),V_zs,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_neq__Nil__conv_1,axiom, % 0.40/0.68 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_list_Osimps_I3_J_0,axiom, % 0.40/0.68 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osplit__asm_0,axiom, % 0.40/0.68 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_xc),t_a))) % 0.40/0.68 | hBOOL(hAPP(V_P,hAPP(V_f1,V_xc))) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osplit_0,axiom, % 0.40/0.68 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),t_a))) % 0.40/0.68 | hBOOL(hAPP(V_P,hAPP(V_f1,V_nat))) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Lambda_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(V_r))) % 0.40/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__eq__Cons__iff_1,axiom, % 0.40/0.68 c_List_Orev(c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = c_List_Olist_OCons(V_y,V_ys,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__less__0__iff_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__is__Nil__conv_0,axiom, % 0.40/0.68 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a) % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__Cons__self2_0,axiom, % 0.40/0.68 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__Cons__self_0,axiom, % 0.40/0.68 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__less__less__Suc__eq_1,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__less__eq_1,axiom, % 0.40/0.68 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__less__eq_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Cons__eq__append__conv_4,axiom, % 0.40/0.68 c_List_Olist_OCons(V_x,V_xs,T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_singleton__rev__conv_1,axiom, % 0.40/0.68 c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Orev(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Nil__is__append__conv_2,axiom, % 0.40/0.68 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_abs_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(V_s)),c_Lambda_OdB_OAbs(V_t))) % 0.40/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__is__Nil__conv_1,axiom, % 0.40/0.68 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__append_0,axiom, % 0.40/0.68 c_List_Orev(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Orev(V_ys,T_a),c_List_Orev(V_xs,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osimps_I5_J_0,axiom, % 0.40/0.68 c_Type_Otype_Otype__case(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Suc__less__eq_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Suc__mono_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__eq__0__iff_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.40/0.68 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.40/0.68 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.40/0.68 | ~ class_Power_Opower(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.40/0.68 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_field__power__not__zero_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.40/0.68 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_double__eq__0__iff_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a) != c_HOL_Ozero__class_Ozero(T_a) % 0.40/0.68 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/0.68 | ~ class_Int_Onumber__ring(T_a) % 0.40/0.68 | V_x != hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_a) % 0.40/0.68 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_double__eq__0__iff_1,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),c_HOL_Ozero__class_Ozero(T_a)) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Oadd__0_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_x) = V_x ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oidom(T_a) % 0.40/0.68 | ~ class_Int_Onumber__ring(T_a) % 0.40/0.68 | V_x = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_HOL_Ozero__class_Ozero(T_a)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__0__left_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)) = V_a ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_a) = V_a ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_neq0__conv_1,axiom, % 0.40/0.68 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_gr0I_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/0.68 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Suc__neq__Zero_0,axiom, % 0.40/0.68 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_nat_Osimps_I3_J_0,axiom, % 0.40/0.68 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Zero__neq__Suc_0,axiom, % 0.40/0.68 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_nat_Osimps_I2_J_0,axiom, % 0.40/0.68 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_gr__implies__not0_0,axiom, % 0.40/0.68 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__less0_0,axiom, % 0.40/0.68 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osimps_I8_J_0,axiom, % 0.40/0.68 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osimps_I9_J_0,axiom, % 0.40/0.68 c_Lambda_OdB_OAbs(V_dB_H) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_appR_0,axiom, % 0.40/0.68 ( 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))) % 0.40/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_appL_0,axiom, % 0.40/0.68 ( 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))) % 0.40/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_s),V_t)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_substn_Osimps_I2_J_0,axiom, % 0.40/0.68 c_Lambda_Osubstn(hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_s,V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osubstn(V_t,V_s,V_k)),c_Lambda_Osubstn(V_u,V_s,V_k)) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_map__is__Nil__conv_0,axiom, % 0.40/0.68 ( c_List_Omap(V_f,V_xs,T_b,T_a) != c_List_Olist_ONil(T_a) % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_b) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_map__append_0,axiom, % 0.40/0.68 c_List_Omap(V_f,c_List_Oappend(V_xs,V_ys,T_b),T_b,T_a) = c_List_Oappend(c_List_Omap(V_f,V_xs,T_b,T_a),c_List_Omap(V_f,V_ys,T_b,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Nil__is__map__conv_0,axiom, % 0.40/0.68 ( c_List_Olist_ONil(T_a) != c_List_Omap(V_f,V_xs,T_b,T_a) % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_b) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__map_0,axiom, % 0.40/0.68 c_List_Orev(c_List_Omap(V_f,V_xs,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Orev(V_xs,T_b),T_b,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_map__is__Nil__conv_1,axiom, % 0.40/0.68 c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) = c_List_Olist_ONil(T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_map__map_0,axiom, % 0.40/0.68 c_List_Omap(V_f,c_List_Omap(V_g,V_xs,T_c,T_b),T_b,T_a) = c_List_Omap(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_xs,T_c,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_map__eq__Cons__conv_3,axiom, % 0.40/0.68 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xa,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xa,T_b,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Cons__eq__map__conv_3,axiom, % 0.40/0.68 c_List_Olist_OCons(hAPP(V_f,V_xa),c_List_Omap(V_f,V_xb,T_b,T_a),T_a) = c_List_Omap(V_f,c_List_Olist_OCons(V_xa,V_xb,T_b),T_b,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_map_Osimps_I2_J_0,axiom, % 0.40/0.68 c_List_Omap(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),T_b,T_a) = c_List_Olist_OCons(hAPP(V_f,V_x),c_List_Omap(V_f,V_xs,T_b,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Nil__is__map__conv_1,axiom, % 0.40/0.68 c_List_Olist_ONil(T_a) = c_List_Omap(V_f,c_List_Olist_ONil(T_b),T_b,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Abs__eq__apps__conv_1,axiom, % 0.40/0.68 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.68 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Abs__eq__apps__conv_2,axiom, % 0.40/0.68 c_Lambda_OdB_OAbs(V_r) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_apps__eq__Abs__conv_1,axiom, % 0.40/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.40/0.68 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_apps__eq__Abs__conv_2,axiom, % 0.40/0.68 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_Lambda_OdB_OAbs(V_r) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldl__Nil_0,axiom, % 0.40/0.68 c_List_Ofoldl(V_f,V_a,c_List_Olist_ONil(T_b),T_a,T_b) = V_a ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldl__assoc_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Osemigroup__add(T_a) % 0.40/0.68 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y),V_zs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_y,V_zs,T_a,T_a)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldl__Cons_0,axiom, % 0.40/0.68 c_List_Ofoldl(V_f,V_a,c_List_Olist_OCons(V_x,V_xs,T_b),T_a,T_b) = c_List_Ofoldl(V_f,hAPP(hAPP(V_f,V_a),V_x),V_xs,T_a,T_b) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldl__append_0,axiom, % 0.40/0.68 c_List_Ofoldl(V_f,V_a,c_List_Oappend(V_xs,V_ys,T_b),T_a,T_b) = c_List_Ofoldl(V_f,c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b),V_ys,T_a,T_b) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_subst__preserves__beta_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_t),V_i)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),V_i))) % 0.40/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osimps_I7_J_0,axiom, % 0.40/0.68 c_Lambda_OdB_OAbs(V_dB_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_beta__cases_I1_J_0,axiom, % 0.40/0.68 ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(V_i)),V_t)) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osimps_I6_J_0,axiom, % 0.40/0.68 c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OAbs(V_dB_H) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Var__IT_0,axiom, % 0.40/0.68 hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(V_n))) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_subject__reduction_0,axiom, % 0.40/0.68 ( c_Type_Otyping(V_e,V_t_H,V_T) % 0.40/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_t),V_t_H)) % 0.40/0.68 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osimps_I4_J_0,axiom, % 0.40/0.68 hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) != c_Type_Otype_OAtom(V_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_listsp_ONil_0,axiom, % 0.40/0.68 c_List_Olistsp(V_A,c_List_Olist_ONil(T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__same__eq_0,axiom, % 0.40/0.68 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) % 0.40/0.68 | V_ys = V_zs ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_same__append__eq_0,axiom, % 0.40/0.68 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) % 0.40/0.68 | V_ys = V_zs ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__0__Suc_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.40/0.68 | ~ class_Power_Opower(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),c_Suc(V_n),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__Nil2_0,axiom, % 0.40/0.68 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 0.40/0.68 % 0.40/0.68 cnf(cls_eq__Nil__appendI_0,axiom, % 0.40/0.68 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_self__append__conv_1,axiom, % 0.40/0.68 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__Nil_0,axiom, % 0.40/0.68 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 0.40/0.68 % 0.40/0.68 cnf(cls_self__append__conv2_1,axiom, % 0.40/0.68 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__swap_0,axiom, % 0.40/0.68 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__swap_1,axiom, % 0.40/0.68 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__rev__ident_0,axiom, % 0.40/0.68 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osimps_I1_J_0,axiom, % 0.40/0.68 ( c_Type_Otype_OAtom(V_nat) != c_Type_Otype_OAtom(V_nat_H) % 0.40/0.68 | V_nat = V_nat_H ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_class__semiring_Oadd__c_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),V_y) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_y),V_x) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__eq__iff_0,axiom, % 0.40/0.68 ( ~ class_Nat_Osemiring__char__0(T_a) % 0.40/0.68 | c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a) != c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a) % 0.40/0.68 | V_m = V_n ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__singleton__conv_0,axiom, % 0.40/0.68 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) % 0.40/0.68 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_o__apply_0,axiom, % 0.40/0.68 hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_o__eq__dest__lhs_0,axiom, % 0.40/0.68 hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Suc__inject_0,axiom, % 0.40/0.68 ( c_Suc(V_x) != c_Suc(V_y) % 0.40/0.68 | V_x = V_y ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_nat_Oinject_0,axiom, % 0.40/0.68 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 0.40/0.68 | V_nat = V_nat_H ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__Suc0_1,axiom, % 0.40/0.68 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_even__less__0__iff_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_even__less__0__iff_1,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_zero__less__power_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_substn_Osimps_I1_J_2,axiom, % 0.40/0.68 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(V_i),V_s,V_k) = c_Lambda_OdB_OVar(V_i) % 0.40/0.68 | V_i = V_k % 0.40/0.68 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Nil__is__append__conv_0,axiom, % 0.40/0.68 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Nil__is__append__conv_1,axiom, % 0.40/0.68 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 0.40/0.68 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osimps_I3_J_0,axiom, % 0.40/0.68 ( c_Lambda_OdB_OAbs(V_dB) != c_Lambda_OdB_OAbs(V_dB_H) % 0.40/0.68 | V_dB = V_dB_H ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__is__Nil__conv_0,axiom, % 0.40/0.68 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__is__Nil__conv_1,axiom, % 0.40/0.68 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 0.40/0.68 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__SucE_0,axiom, % 0.40/0.68 ( V_m = V_n % 0.40/0.68 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__antisym_0,axiom, % 0.40/0.68 ( V_m = V_n % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__less__less__Suc__eq_0,axiom, % 0.40/0.68 ( V_n = V_m % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Orecs_I1_J_0,axiom, % 0.40/0.68 c_Type_Otype_Otype__rec(V_f1,V_f2,c_Type_Otype_OAtom(V_nat),T_a) = hAPP(V_f1,V_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_nat__less__le_1,axiom, % 0.40/0.68 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__not__refl_0,axiom, % 0.40/0.68 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_order__less__le_1,axiom, % 0.40/0.68 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_linorder__neq__iff_1,axiom, % 0.40/0.68 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_order__less__irrefl_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__pos__pos_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_b),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.68 | V_x = V_y ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.68 | V_x = V_y % 0.40/0.68 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_nat__neq__iff_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.68 | V_m = V_n ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_nat__less__cases_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(hAPP(V_P,V_n),V_m)) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 0.40/0.68 | V_m = V_n % 0.40/0.68 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_linorder__neqE__nat_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 0.40/0.68 | V_x = V_y ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_linorder__neqE_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.68 | V_x = V_y ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_linorder__less__linear_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.40/0.68 | V_x = V_y % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_linorder__antisym__conv3_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.68 | V_x = V_y % 0.40/0.68 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__strict__mono_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_d),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_list_Osimps_I2_J_0,axiom, % 0.40/0.68 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__less__iff_1,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__less__iff_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(V_m,T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_lessI_0,axiom, % 0.40/0.68 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__Suc__eq_2,axiom, % 0.40/0.68 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__trans__Suc_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_rev__is__rev__conv_0,axiom, % 0.40/0.68 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a) % 0.40/0.68 | V_xs = V_ys ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__0__less__iff_1,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__0__less__iff_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_Nat_Osemiring__1__class_Oof__nat(V_n,T_a),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__in__listsp__conv_2,axiom, % 0.40/0.68 ( c_List_Olistsp(V_A,c_List_Oappend(V_xs,V_ys,T_a),T_a) % 0.40/0.68 | ~ c_List_Olistsp(V_A,V_ys,T_a) % 0.40/0.68 | ~ c_List_Olistsp(V_A,V_xs,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_o__assoc_0,axiom, % 0.40/0.68 c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Nil__is__rev__conv_0,axiom, % 0.40/0.68 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a) % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_pos__add__strict_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_b,hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__self__conv_0,axiom, % 0.40/0.68 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs % 0.40/0.68 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_self__append__conv_0,axiom, % 0.40/0.68 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a) % 0.40/0.68 | V_ys = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__self__conv2_0,axiom, % 0.40/0.68 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_self__append__conv2_0,axiom, % 0.40/0.68 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a) % 0.40/0.68 | V_xs = c_List_Olist_ONil(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__eq__Cons__conv_4,axiom, % 0.40/0.68 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Suc__n__not__n_0,axiom, % 0.40/0.68 c_Suc(V_n) != V_n ). % 0.40/0.68 % 0.40/0.68 cnf(cls_n__not__Suc__n_0,axiom, % 0.40/0.68 V_n != c_Suc(V_n) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__strict__right__mono_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__less__cancel__right_1,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__less__cancel__right_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),V_c),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_b),V_c),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__strict__left__mono_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__less__cancel__left_1,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_add__less__cancel__left_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 0.40/0.68 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_a),hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_c),V_b),T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_list_Oinject_0,axiom, % 0.40/0.68 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.40/0.68 | V_a = V_a_H ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_list_Oinject_1,axiom, % 0.40/0.68 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 0.40/0.68 | V_list = V_list_H ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_o__eq__dest_0,axiom, % 0.40/0.68 ( c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a) != c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a) % 0.40/0.68 | hAPP(V_a,hAPP(V_b,V_v)) = hAPP(V_c,hAPP(V_d,V_v)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_comp__cong_0,axiom, % 0.40/0.68 ( hAPP(V_f,hAPP(V_g,V_x)) != hAPP(V_f_H,hAPP(V_g_H,V_x_H)) % 0.40/0.68 | hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Nil__is__rev__conv_1,axiom, % 0.40/0.68 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Suc__lessD_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_less__SucI_0,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_ab__semigroup__add_Oadd__ac_I1_J_0,axiom, % 0.40/0.68 ( hAPP(hAPP(V_plus,hAPP(hAPP(V_plus,V_a),V_b)),V_c) = hAPP(hAPP(V_plus,V_a),hAPP(hAPP(V_plus,V_b),V_c)) % 0.40/0.68 | ~ c_OrderedGroup_Oab__semigroup__add(V_plus,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_ab__semigroup__add_Oadd__left__commute_0,axiom, % 0.40/0.68 ( hAPP(hAPP(V_plus,V_a),hAPP(hAPP(V_plus,V_b),V_c)) = hAPP(hAPP(V_plus,V_b),hAPP(hAPP(V_plus,V_a),V_c)) % 0.40/0.68 | ~ c_OrderedGroup_Oab__semigroup__add(V_plus,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_ab__semigroup__add_Oadd__commute_0,axiom, % 0.40/0.68 ( hAPP(hAPP(V_plus,V_a),V_b) = hAPP(hAPP(V_plus,V_b),V_a) % 0.40/0.68 | ~ c_OrderedGroup_Oab__semigroup__add(V_plus,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append1__eq__conv_0,axiom, % 0.40/0.68 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) % 0.40/0.68 | V_xs = V_ys ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append1__eq__conv_1,axiom, % 0.40/0.68 ( c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) != c_List_Oappend(V_ys,c_List_Olist_OCons(V_y,c_List_Olist_ONil(T_a),T_a),T_a) % 0.40/0.68 | V_x = V_y ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__is__Nil__conv_2,axiom, % 0.40/0.68 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__assoc_0,axiom, % 0.40/0.68 c_List_Oappend(c_List_Oappend(V_xs,V_ys,T_a),V_zs,T_a) = c_List_Oappend(V_xs,c_List_Oappend(V_ys,V_zs,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__eq__appendI_0,axiom, % 0.40/0.68 c_List_Oappend(V_xs,c_List_Oappend(V_xs1,V_us,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_xs1,T_a),V_us,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__eq__append__conv2_4,axiom, % 0.40/0.68 c_List_Oappend(c_List_Oappend(V_zs,V_x,T_a),V_ys,T_a) = c_List_Oappend(V_zs,c_List_Oappend(V_x,V_ys,T_a),T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_append__eq__append__conv2_5,axiom, % 0.40/0.68 c_List_Oappend(V_xs,c_List_Oappend(V_x,V_ts,T_a),T_a) = c_List_Oappend(c_List_Oappend(V_xs,V_x,T_a),V_ts,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_xt1_I9_J_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Oorder(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 0.40/0.68 ( ~ class_Orderings_Olinorder(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_order__less__asym_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_order__less__asym_H_0,axiom, % 0.40/0.68 ( ~ class_Orderings_Opreorder(T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Orecs_I2_J_0,axiom, % 0.40/0.68 c_Type_Otype_Otype__rec(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(hAPP(hAPP(V_f2,V_type1),V_type2),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type1,T_a)),c_Type_Otype_Otype__rec(V_f1,V_f2,V_type2,T_a)) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osimps_I6_J_0,axiom, % 0.40/0.68 c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),T_a) = hAPP(hAPP(V_f2,V_type1),V_type2) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osplit__asm_1,axiom, % 0.40/0.68 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_xa),V_xb),t_a))) % 0.40/0.68 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_xa),V_xb))) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osplit_1,axiom, % 0.40/0.68 ( ~ hBOOL(hAPP(V_P,c_Type_Otype_Otype__case(V_f1,V_f2,hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2),t_a))) % 0.40/0.68 | hBOOL(hAPP(V_P,hAPP(hAPP(V_f2,V_type1),V_type2))) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_type_Osimps_I3_J_0,axiom, % 0.40/0.68 c_Type_Otype_OAtom(V_nat) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldr_Osimps_I2_J_0,axiom, % 0.40/0.68 c_List_Ofoldr(V_f,c_List_Olist_OCons(V_x,V_xs,T_b),V_a,T_b,T_a) = hAPP(hAPP(V_f,V_x),c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a)) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldr__append_0,axiom, % 0.40/0.68 c_List_Ofoldr(V_f,c_List_Oappend(V_xs,V_ys,T_b),V_a,T_b,T_a) = c_List_Ofoldr(V_f,V_xs,c_List_Ofoldr(V_f,V_ys,V_a,T_b,T_a),T_b,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldr_Osimps_I1_J_0,axiom, % 0.40/0.68 c_List_Ofoldr(V_f,c_List_Olist_ONil(T_b),V_a,T_b,T_a) = V_a ). % 0.40/0.68 % 0.40/0.68 cnf(cls_lift__IT_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,V_t),V_i))) % 0.40/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_lift__preserves__beta_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,V_r),V_i)),hAPP(hAPP(c_Lambda_Olift,V_s),V_i))) % 0.40/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_shift__gt_0,axiom, % 0.40/0.68 ( hAPP(c_Type_Oshift(V_e,V_i,V_T,T_a),V_j) = hAPP(V_e,V_j) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_beta_0,axiom, % 0.40/0.68 hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_s),V_t),c_HOL_Ozero__class_Ozero(tc_nat)))) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_True_0,axiom, % 0.40/0.68 v_n____ = v_i____ ). % 0.40/0.68 % 0.40/0.68 cnf(cls_IT_OVar_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_rs,tc_Lambda_OdB,tc_Lambda_OdB))) % 0.40/0.68 | ~ c_List_Olistsp(c_InductTermi_OIT,V_rs,tc_Lambda_OdB) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_head__Var__reduction_1,axiom, % 0.40/0.68 ( 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) % 0.40/0.68 | ~ 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)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_list__app__typeD_1,axiom, % 0.40/0.68 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts)) % 0.40/0.68 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_list__app__typeE_1,axiom, % 0.40/0.68 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts)) % 0.40/0.68 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_argT_0,axiom, % 0.40/0.68 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_uIT_0,axiom, % 0.40/0.68 hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__eq__0__iff_2,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.40/0.68 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.40/0.68 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.40/0.68 | ~ class_Power_Opower(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.40/0.68 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__0__left_1,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 0.40/0.68 | ~ class_Power_Opower(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 0.40/0.68 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_power__eq__0__iff_1,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 0.40/0.68 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 0.40/0.68 | ~ class_Ring__and__Field_Omult__zero(T_a) % 0.40/0.68 | ~ class_Power_Opower(T_a) % 0.40/0.68 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_of__nat__0_0,axiom, % 0.40/0.68 ( ~ class_Ring__and__Field_Osemiring__1(T_a) % 0.40/0.68 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldl__absorb0_0,axiom, % 0.40/0.68 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.40/0.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_x),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_zs,T_a,T_a)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_x,V_zs,T_a,T_a) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_substn__subst__0_0,axiom, % 0.40/0.68 c_Lambda_Osubstn(V_t,V_s,c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),c_HOL_Ozero__class_Ozero(tc_nat)) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osize_I4_J_0,axiom, % 0.40/0.68 c_Nat_Osize__class_Osize(c_Lambda_OdB_OVar(V_nat),tc_Lambda_OdB) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_dB_Osize_I1_J_0,axiom, % 0.40/0.68 c_Lambda_OdB_OdB__size(c_Lambda_OdB_OVar(V_nat)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Beta_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r)),V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) % 0.40/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_s)) % 0.40/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),V_s),c_HOL_Ozero__class_Ozero(tc_nat)),V_ss,tc_Lambda_OdB,tc_Lambda_OdB))) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_App__eq__foldl__conv_4,axiom, % 0.40/0.68 hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_App__eq__foldl__conv_0,axiom, % 0.40/0.68 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.68 | hAPP(hAPP(c_Lambda_OdB_OApp,V_r),V_s) = V_t ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_apps__eq__Abs__conv_0,axiom, % 0.40/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(V_r) % 0.40/0.68 | V_s = c_Lambda_OdB_OAbs(V_r) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Abs__apps__eq__Abs__apps__conv_0,axiom, % 0.40/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.68 | V_r = V_s ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Abs__apps__eq__Abs__apps__conv_1,axiom, % 0.40/0.68 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.68 | V_rs = V_ss ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_apps__preserves__beta_0,axiom, % 0.40/0.68 ( 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))) % 0.40/0.68 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,V_r),V_s)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_Abs__eq__apps__conv_0,axiom, % 0.40/0.68 ( c_Lambda_OdB_OAbs(V_r) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.68 | c_Lambda_OdB_OAbs(V_r) = V_s ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_app__Var__IT_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),c_Lambda_OdB_OVar(V_i)))) % 0.40/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_typing__elims_I2_J_1,axiom, % 0.40/0.68 ( c_Type_Otyping(V_e,V_u,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)) % 0.40/0.68 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_var__app__typesE_1,axiom, % 0.40/0.68 ( c_Type_Otypings(V_e,V_ts,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts)) % 0.40/0.68 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_var__app__types_1,axiom, % 0.40/0.68 ( c_Type_Otypings(V_e,V_us,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us)) % 0.40/0.68 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U) % 0.40/0.68 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.40/0.68 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_subst__Var__IT_0,axiom, % 0.40/0.68 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_r),c_Lambda_OdB_OVar(V_i)),V_j))) % 0.40/0.68 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_r)) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_subst__lt_0,axiom, % 0.40/0.68 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_j)),V_u),V_i) = c_Lambda_OdB_OVar(V_j) % 0.40/0.68 | ~ c_HOL_Oord__class_Oless(V_j,V_i,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_subst__Var_2,axiom, % 0.40/0.68 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_i)),V_s),V_k) = c_Lambda_OdB_OVar(V_i) % 0.40/0.68 | V_i = V_k % 0.40/0.68 | c_HOL_Oord__class_Oless(V_k,V_i,tc_nat) ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_subst__Var_1,axiom, % 0.40/0.68 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 0.40/0.68 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_x)),V_s),V_x) = V_s ) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_shift__commute_0,axiom, % 0.40/0.68 c_Type_Oshift(c_Type_Oshift(V_e,V_i,V_U,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a) = c_Type_Oshift(c_Type_Oshift(V_e,c_HOL_Ozero__class_Ozero(tc_nat),V_T,T_a),c_Suc(V_i),V_U,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_foldr__map_0,axiom, % 0.40/0.68 c_List_Ofoldr(V_g,c_List_Omap(V_f,V_xs,T_c,T_b),V_a,T_b,T_a) = c_List_Ofoldr(c_Fun_Ocomp(V_g,V_f,T_b,tc_fun(T_a,T_a),T_c),V_xs,V_a,T_c,T_a) ). % 0.40/0.68 % 0.40/0.68 cnf(cls_ab__semigroup__add_Ofoldr__conv__foldl_0,axiom, % 0.40/0.68 ( c_List_Ofoldr(V_plus,V_xs,V_a,T_a,T_a) = c_List_Ofoldl(V_plus,V_a,V_xs,T_a,T_a) % 0.40/0.69 | ~ c_OrderedGroup_Oab__semigroup__add(V_plus,T_a) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_foldr__conv__foldl_0,axiom, % 0.40/0.69 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 0.40/0.69 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,V_a,T_a,T_a) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_lift_Osimps_I1_J_0,axiom, % 0.40/0.69 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(V_i)),V_k) = c_Lambda_OdB_OVar(V_i) % 0.40/0.69 | ~ c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_MI2_0,axiom, % 0.40/0.69 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.40/0.69 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i))) % 0.40/0.69 | ~ c_Type_Otyping(V_e,V_u,V_T2) % 0.40/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.40/0.69 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T2,tc_Type_Otype),V_t,V_Ta) % 0.40/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_MI1_0,axiom, % 0.40/0.69 ( v_T____ != hAPP(hAPP(c_Type_Otype_OFun,V_T1),V_T2) % 0.40/0.69 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i))) % 0.40/0.69 | ~ c_Type_Otyping(V_e,V_u,V_T1) % 0.40/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_u)) % 0.40/0.69 | ~ c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_T1,tc_Type_Otype),V_t,V_Ta) % 0.40/0.69 | ~ hBOOL(hAPP(c_InductTermi_OIT,V_t)) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_lifts__IT_0,axiom, % 0.40/0.69 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) % 0.40/0.69 | ~ c_List_Olistsp(c_InductTermi_OIT,V_ts,tc_Lambda_OdB) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_T_0,axiom, % 0.40/0.69 v_T____ = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Var__apps__neq__Abs__apps_0,axiom, % 0.40/0.69 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_r),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Var__eq__apps__conv_2,axiom, % 0.40/0.69 c_Lambda_OdB_OVar(V_m) = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Var__eq__apps__conv_1,axiom, % 0.40/0.69 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.69 | V_ss = c_List_Olist_ONil(tc_Lambda_OdB) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Abs__App__neq__Var__apps_0,axiom, % 0.40/0.69 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(V_s)),V_t) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_foldl__foldr1_0,axiom, % 0.40/0.69 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.40/0.69 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),c_HOL_Ozero__class_Ozero(T_a),V_xs,T_a,T_a) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_foldl__foldr1__lemma_0,axiom, % 0.40/0.69 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 0.40/0.69 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(T_a),V_a,V_xs,T_a,T_a) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(T_a),V_a),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(T_a),V_xs,c_HOL_Ozero__class_Ozero(T_a),T_a,T_a)) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_foldr__foldl_0,axiom, % 0.40/0.69 c_List_Ofoldr(V_f,V_xs,V_a,T_b,T_a) = c_List_Ofoldl(c_COMBC(V_f,T_b,T_a,T_a),V_a,c_List_Orev(V_xs,T_b),T_a,T_b) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_foldl__foldr_0,axiom, % 0.40/0.69 c_List_Ofoldl(V_f,V_a,V_xs,T_a,T_b) = c_List_Ofoldr(c_COMBC(V_f,T_a,T_b,T_a),c_List_Orev(V_xs,T_b),V_a,T_b,T_a) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_typing__elims_I2_J_0,axiom, % 0.40/0.69 ( c_Type_Otyping(V_e,V_t,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(V_T,V_e,V_t,V_u)),V_T)) % 0.40/0.69 | ~ c_Type_Otyping(V_e,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_nT_0,axiom, % 0.40/0.69 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_var__app__types_0,axiom, % 0.40/0.69 ( V_U = c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(V_T,V_U,V_e,V_us),V_T,tc_Type_Otype,tc_Type_Otype) % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U) % 0.40/0.69 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_us,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_argsT_0,axiom, % 0.40/0.69 c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_varT_0,axiom, % 0.40/0.69 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_headT_0,axiom, % 0.40/0.69 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_uT_0,axiom, % 0.40/0.69 c_Type_Otyping(v_e____,v_u____,v_T____) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Abs_0,axiom, % 0.40/0.69 ( c_Type_Otyping(V_env,c_Lambda_OdB_OAbs(V_t),hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) % 0.40/0.69 | ~ c_Type_Otyping(c_Type_Oshift(V_env,c_HOL_Ozero__class_Ozero(tc_nat),V_T,tc_Type_Otype),V_t,V_U) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_lift__types_0,axiom, % 0.40/0.69 ( c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts) % 0.40/0.69 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_list__app__typeE_0,axiom, % 0.40/0.69 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_list__app__typeI_0,axiom, % 0.40/0.69 ( c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) % 0.40/0.69 | ~ c_Type_Otypings(V_e,V_ts,V_Ts) % 0.40/0.69 | ~ c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,V_Ts,V_T,tc_Type_Otype,tc_Type_Otype)) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_list__app__typeD_0,axiom, % 0.40/0.69 ( c_Type_Otyping(V_e,V_t,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(V_T,V_e,V_t,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_var__app__typesE_0,axiom, % 0.40/0.69 ( c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(V_T,V_e,V_i,V_ts),V_T,tc_Type_Otype,tc_Type_Otype)) % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_substs__lemma_0,axiom, % 0.40/0.69 ( c_Type_Otypings(V_e,c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_Ts) % 0.40/0.69 | ~ c_Type_Otypings(c_Type_Oshift(V_e,V_i,V_T,tc_Type_Otype),V_ts,V_Ts) % 0.40/0.69 | ~ c_Type_Otyping(V_e,V_u,V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_uT_H_0,axiom, % 0.40/0.69 c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_lift__type_0,axiom, % 0.40/0.69 ( c_Type_Otyping(c_Type_Oshift(V_e,V_i,V_U,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,V_t),V_i),V_T) % 0.40/0.69 | ~ c_Type_Otyping(V_e,V_t,V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_subst__App_0,axiom, % 0.40/0.69 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_OdB_OApp,V_t),V_u)),V_s),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_s),V_k)),hAPP(hAPP(hAPP(c_Lambda_Osubst,V_u),V_s),V_k)) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_dB_Osimps_I1_J_0,axiom, % 0.40/0.69 ( c_Lambda_OdB_OVar(V_nat) != c_Lambda_OdB_OVar(V_nat_H) % 0.40/0.69 | V_nat = V_nat_H ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Var__apps__eq__Var__apps__conv_0,axiom, % 0.40/0.69 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.69 | V_m = V_n ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Var__apps__eq__Var__apps__conv_1,axiom, % 0.40/0.69 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_m),V_rs,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_n),V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.69 | V_rs = V_ss ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_subst__eq_0,axiom, % 0.40/0.69 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(V_k)),V_u),V_k) = V_u ). % 0.40/0.69 % 0.40/0.69 cnf(cls_type_Osimps_I2_J_0,axiom, % 0.40/0.69 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.40/0.69 | V_type1 = V_type1_H ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_type_Osimps_I2_J_1,axiom, % 0.40/0.69 ( hAPP(hAPP(c_Type_Otype_OFun,V_type1),V_type2) != hAPP(hAPP(c_Type_Otype_OFun,V_type1_H),V_type2_H) % 0.40/0.69 | V_type2 = V_type2_H ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_lift__map_0,axiom, % 0.40/0.69 hAPP(hAPP(c_Lambda_Olift,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_t),V_i),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_App_0,axiom, % 0.40/0.69 ( c_Type_Otyping(V_env,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t),V_U) % 0.40/0.69 | ~ c_Type_Otyping(V_env,V_t,V_T) % 0.40/0.69 | ~ c_Type_Otyping(V_env,V_s,hAPP(hAPP(c_Type_Otype_OFun,V_T),V_U)) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_dB_Osimps_I2_J_0,axiom, % 0.40/0.69 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.40/0.69 | V_dB1 = V_dB1_H ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_dB_Osimps_I2_J_1,axiom, % 0.40/0.69 ( hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1),V_dB2) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) % 0.40/0.69 | V_dB2 = V_dB2_H ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_var__app__type__eq_0,axiom, % 0.40/0.69 ( V_T = V_U % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_U) % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_Var__eq__apps__conv_0,axiom, % 0.40/0.69 ( c_Lambda_OdB_OVar(V_m) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ss,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.69 | c_Lambda_OdB_OVar(V_m) = V_s ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_dB_Osimps_I4_J_0,axiom, % 0.40/0.69 c_Lambda_OdB_OVar(V_nat) != hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_shift__eq_0,axiom, % 0.40/0.69 hAPP(c_Type_Oshift(V_e,V_x,V_T,T_a),V_x) = V_T ). % 0.40/0.69 % 0.40/0.69 cnf(cls_typing__elims_I1_J_0,axiom, % 0.40/0.69 ( hAPP(V_e,V_i) = V_T % 0.40/0.69 | ~ c_Type_Otyping(V_e,c_Lambda_OdB_OVar(V_i),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_lift_Osimps_I2_J_0,axiom, % 0.40/0.69 hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_OdB_OApp,V_s),V_t)),V_k) = hAPP(hAPP(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_Olift,V_s),V_k)),hAPP(hAPP(c_Lambda_Olift,V_t),V_k)) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_subst__map_0,axiom, % 0.40/0.69 hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,V_t,V_ts,tc_Lambda_OdB,tc_Lambda_OdB)),V_u),V_i) = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),V_u),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),V_i),V_ts,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_COMBC__def_0,axiom, % 0.40/0.69 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_typing_OVar_0,axiom, % 0.40/0.69 c_Type_Otyping(V_env,c_Lambda_OdB_OVar(V_x),hAPP(V_env,V_x)) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_apps__eq__tail__conv_0,axiom, % 0.40/0.69 ( c_List_Ofoldl(c_Lambda_OdB_OApp,V_r,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,V_s,V_ts,tc_Lambda_OdB,tc_Lambda_OdB) % 0.40/0.69 | V_r = V_s ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_subst__lift_0,axiom, % 0.40/0.69 hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,V_t),V_k)),V_s),V_k) = V_t ). % 0.40/0.69 % 0.40/0.69 cnf(cls_subst__lemma_0,axiom, % 0.40/0.69 ( ~ c_Type_Otyping(V_e_H,V_u,V_U) % 0.40/0.69 | ~ c_Type_Otyping(c_Type_Oshift(V_e_H,V_i,V_U,tc_Type_Otype),V_t,V_T) % 0.40/0.69 | c_Type_Otyping(V_e_H,hAPP(hAPP(hAPP(c_Lambda_Osubst,V_t),V_u),V_i),V_T) ) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_dB_Osimps_I5_J_0,axiom, % 0.40/0.69 hAPP(hAPP(c_Lambda_OdB_OApp,V_dB1_H),V_dB2_H) != c_Lambda_OdB_OVar(V_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_CHAINED_0,axiom, % 0.40/0.69 c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_CHAINED_0_01,axiom, % 0.40/0.69 c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_conjecture_0,negated_conjecture, % 0.40/0.69 ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_fun__Orderings_Opreorder,axiom, % 0.40/0.69 ( class_Orderings_Opreorder(tc_fun(T_2,T_1)) % 0.40/0.69 | ~ class_Orderings_Opreorder(T_1) ) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_fun__Orderings_Oorder,axiom, % 0.40/0.69 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) % 0.40/0.69 | ~ class_Orderings_Oorder(T_1) ) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 0.40/0.69 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 0.40/0.69 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 0.40/0.69 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 0.40/0.69 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 0.40/0.69 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 0.40/0.69 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 0.40/0.69 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 0.40/0.69 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 0.40/0.69 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 0.40/0.69 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 0.40/0.69 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 0.40/0.69 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Osemigroup__add,axiom, % 0.40/0.69 class_OrderedGroup_Osemigroup__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Ring__and__Field_Osemiring__1,axiom, % 0.40/0.69 class_Ring__and__Field_Osemiring__1(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 0.40/0.69 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 0.40/0.69 class_Ring__and__Field_Omult__zero(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 0.40/0.69 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 0.40/0.69 class_OrderedGroup_Omonoid__add(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Nat_Osemiring__char__0,axiom, % 0.40/0.69 class_Nat_Osemiring__char__0(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 0.40/0.69 class_Orderings_Opreorder(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 0.40/0.69 class_Orderings_Olinorder(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Orderings_Oorder,axiom, % 0.40/0.69 class_Orderings_Oorder(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(clsarity_nat__Power_Opower,axiom, % 0.40/0.69 class_Power_Opower(tc_nat) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_ATP__Linkup_OCOMBC__def_0,axiom, % 0.40/0.69 hAPP(hAPP(c_COMBC(V_P,T_b,T_c,T_a),V_Q),V_R) = hAPP(hAPP(V_P,V_R),V_Q) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_ATP__Linkup_OCOMBB__def_0,axiom, % 0.40/0.69 c_COMBB(V_P,V_Q,V_R,T_b,T_a,T_c) = hAPP(V_P,hAPP(V_Q,V_R)) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_ATP__Linkup_Oequal__imp__fequal_0,axiom, % 0.40/0.69 c_fequal(V_x,V_x,T_a) ). % 0.40/0.69 % 0.40/0.69 cnf(cls_ATP__Linkup_Ofequal__imp__equal_0,axiom, % 0.40/0.69 ( V_X = V_Y % 0.40/0.69 | ~ c_fequal(V_X,V_Y,T_a) ) ). % 0.40/0.69 % 0.40/0.69 %------------------------------------------------------------------------------ % 0.40/0.69 %------------------------------------------- % 0.40/0.69 % Proof found % 0.40/0.69 % SZS status Theorem for theBenchmark % 0.40/0.69 % SZS output start Proof % 0.40/0.69 %ClaNum:645(EqnAxiom:142) % 0.40/0.69 %VarNum:2969(SingletonVarNum:1196) % 0.40/0.69 %MaxLitNum:6 % 0.40/0.69 %MaxfuncDepth:8 % 0.40/0.69 %SharedTerms:95 % 0.40/0.69 %goalClause: 312 % 0.40/0.69 %singleGoalClaCount:1 % 0.40/0.69 [143]E(a1,a50) % 0.40/0.69 [144]P1(a2) % 0.40/0.69 [145]P2(a2) % 0.40/0.69 [146]P27(a2) % 0.40/0.69 [147]P3(a2) % 0.40/0.69 [148]P4(a2) % 0.40/0.69 [149]P5(a2) % 0.40/0.69 [150]P25(a2) % 0.40/0.69 [151]P35(a2) % 0.40/0.69 [152]P28(a2) % 0.40/0.69 [153]P30(a2) % 0.40/0.69 [154]P29(a2) % 0.40/0.69 [155]P20(a2) % 0.40/0.69 [156]P21(a2) % 0.40/0.69 [157]P38(a2) % 0.40/0.69 [158]P36(a2) % 0.40/0.69 [159]P6(a2) % 0.40/0.69 [160]P18(a2) % 0.40/0.69 [161]P19(a2) % 0.40/0.69 [162]P31(a2) % 0.40/0.69 [163]P32(a2) % 0.40/0.69 [164]P22(a2) % 0.40/0.69 [165]P26(a2) % 0.40/0.69 [166]P7(a2) % 0.40/0.69 [177]P8(a49,a51,a44) % 0.40/0.69 [171]P39(f27(a9,a51)) % 0.40/0.69 [176]E(f17(a43,a48,a14),a52) % 0.40/0.69 [241]P8(f31(a49,a1,a44,a41),a43,a45) % 0.40/0.69 [242]P14(f31(a49,a1,a44,a41),a48,a47) % 0.40/0.69 [265]P8(f31(a49,a1,a44,a41),f23(a12,f3(a50),a52,a14,a14),a46) % 0.40/0.69 [267]E(f27(f27(a38,a45),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41)),a44) % 0.40/0.69 [269]P8(f31(a49,a1,a44,a41),f27(f27(a12,f3(a50)),a43),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41)) % 0.40/0.69 [272]P8(a49,a51,f27(f27(a38,a45),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41))) % 0.40/0.69 [275]P8(f31(a49,a1,a44,a41),f3(a50),f27(f27(a38,a45),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41))) % 0.40/0.69 [278]P8(f31(a49,f4(a2),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41),a41),f3(f4(a2)),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41)) % 0.40/0.69 [280]P14(f31(a49,f4(a2),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41),a41),f25(f27(f6(a19,a14,a2,a14),f4(a2)),f25(f27(f6(f27(f6(a21,a14,a14,f42(a2,a14)),a51),a14,a2,a14),a1),a48,a14,a14),a14,a14),a47) % 0.40/0.69 [312]~P8(f31(a49,f4(a2),f23(f6(a38,a41,a41,a41),a46,f24(a47,a41),a41,a41),a41),f23(a12,f3(f4(a2)),f25(f27(f6(a19,a14,a2,a14),f4(a2)),f25(f27(f6(f27(f6(a21,a14,a14,f42(a2,a14)),a51),a14,a2,a14),a1),a48,a14,a14),a14,a14),a14,a14),a46) % 0.40/0.69 [296]~P9(x2961,x2961,a2) % 0.40/0.69 [185]P9(x1851,f28(x1851),a2) % 0.40/0.69 [193]P9(f4(a2),f28(x1931),a2) % 0.40/0.69 [282]~E(f28(x2821),x2821) % 0.40/0.69 [286]~E(f28(x2861),f4(a2)) % 0.40/0.69 [300]~P9(x3001,f4(a2),a2) % 0.40/0.69 [167]E(f13(f3(x1671)),f4(a2)) % 0.40/0.69 [168]E(f15(f3(x1681),a14),f4(a2)) % 0.40/0.69 [170]E(f24(f16(x1701),x1701),f16(x1701)) % 0.40/0.69 [172]P39(f27(a9,f3(x1721))) % 0.40/0.69 [179]E(f27(f27(f5(a2),x1791),f4(a2)),x1791) % 0.40/0.69 [180]E(f27(f27(f5(a2),f4(a2)),x1801),x1801) % 0.40/0.69 [199]E(f27(f27(f5(a2),f13(x1991)),f28(f4(a2))),f13(f10(x1991))) % 0.40/0.69 [206]E(f27(f27(f5(a2),f15(x2061,a14)),f28(f4(a2))),f15(f10(x2061),a14)) % 0.40/0.69 [181]P13(x1811,x1811,x1812) % 0.40/0.69 [186]P10(x1861,f16(x1862),x1862) % 0.40/0.69 [202]P8(x2021,f3(x2022),f27(x2021,x2022)) % 0.40/0.69 [288]~E(f10(x2881),f3(x2882)) % 0.40/0.69 [175]E(f24(f24(x1751,x1752),x1752),x1751) % 0.40/0.69 [183]E(f18(f4(a2),x1831,x1832),x1831) % 0.40/0.69 [190]E(f20(x1901,f16(x1902),x1902),x1901) % 0.40/0.69 [191]E(f20(f16(x1911),x1912,x1911),x1912) % 0.40/0.69 [236]E(f27(f27(f27(a21,x2361),f18(f4(a2),x2362,f4(a2))),f4(a2)),f27(f27(f27(a21,x2361),x2362),f4(a2))) % 0.40/0.69 [203]E(f27(f27(f5(a2),x2031),x2032),f27(f27(f5(a2),x2032),x2031)) % 0.40/0.69 [204]E(f27(f27(f5(a2),f28(x2041)),x2042),f27(f27(f5(a2),x2041),f28(x2042))) % 0.40/0.69 [210]E(f24(f17(x2101,f16(x2102),x2102),x2102),f17(x2101,f16(x2102),x2102)) % 0.40/0.69 [235]E(f27(f27(f5(a2),f27(f27(f5(a2),f13(x2351)),f13(x2352))),f28(f4(a2))),f13(f27(f27(a12,x2351),x2352))) % 0.40/0.69 [243]E(f27(f27(f5(a2),f27(f27(f5(a2),f15(x2431,a14)),f15(x2432,a14))),f28(f4(a2))),f15(f27(f27(a12,x2431),x2432),a14)) % 0.40/0.69 [245]P39(f27(f27(a11,f27(f27(a12,f10(x2451)),x2452)),f27(f27(f27(a21,x2451),x2452),f4(a2)))) % 0.40/0.69 [305]~P39(f27(f27(a11,f3(x3051)),x3052)) % 0.40/0.69 [306]~P9(f27(f27(f5(a2),x3061),x3062),x3062,a2) % 0.40/0.69 [307]~P9(f27(f27(f5(a2),x3071),x3072),x3071,a2) % 0.40/0.69 [205]E(f27(f27(f27(a21,f3(x2051)),x2052),x2051),x2052) % 0.40/0.69 [207]E(f28(f27(f27(f5(a2),x2071),x2072)),f27(f27(f5(a2),x2071),f28(x2072))) % 0.40/0.69 [208]E(f28(f27(f27(f5(a2),x2081),x2082)),f27(f27(f5(a2),f28(x2081)),x2082)) % 0.40/0.69 [214]P9(x2141,f28(f27(f27(f5(a2),x2142),x2141)),a2) % 0.40/0.69 [216]P9(x2161,f28(f27(f27(f5(a2),x2161),x2162)),a2) % 0.40/0.69 [298]~E(f17(x2981,x2982,x2983),x2982) % 0.40/0.69 [303]~E(f17(x3031,x3032,x3033),f16(x3033)) % 0.40/0.69 [308]~P11(x3081,x3082,f16(x3083),x3083) % 0.40/0.69 [309]~P11(x3091,f16(x3092),x3093,x3092) % 0.40/0.69 [213]E(f20(f24(x2131,x2132),f24(x2133,x2132),x2132),f24(f20(x2133,x2131,x2132),x2132)) % 0.40/0.69 [218]E(f25(x2181,f16(x2182),x2182,x2183),f16(x2183)) % 0.40/0.69 [289]~E(f3(x2891),f27(f27(a12,x2892),x2893)) % 0.40/0.69 [290]~E(f10(x2901),f27(f27(a12,x2902),x2903)) % 0.40/0.69 [291]~E(f30(x2911),f27(f27(a38,x2912),x2913)) % 0.40/0.69 [292]~E(f27(f27(a12,x2921),x2922),f3(x2923)) % 0.40/0.69 [293]~E(f27(f27(a12,x2931),x2932),f10(x2933)) % 0.40/0.69 [294]~E(f27(f27(a38,x2941),x2942),f30(x2943)) % 0.40/0.69 [222]E(f27(f27(a19,f18(x2221,x2222,x2223)),x2223),f18(f28(x2221),x2222,x2223)) % 0.40/0.69 [223]E(f20(f24(x2231,x2232),f17(x2233,f16(x2232),x2232),x2232),f24(f17(x2233,x2231,x2232),x2232)) % 0.40/0.69 [221]E(f27(f27(f5(a2),x2211),f27(f27(f5(a2),x2212),x2213)),f27(f27(f5(a2),x2212),f27(f27(f5(a2),x2211),x2213))) % 0.40/0.69 [237]E(f27(f27(a12,f27(f27(a19,x2371),x2372)),f27(f27(a19,x2373),x2372)),f27(f27(a19,f27(f27(a12,x2371),x2373)),x2372)) % 0.40/0.69 [238]E(f24(f20(f24(x2381,x2382),f17(x2383,f16(x2382),x2382),x2382),x2382),f17(x2383,x2381,x2382)) % 0.40/0.69 [276]E(f23(a12,f27(f27(a19,x2761),x2762),f25(f27(f6(a19,a14,a2,a14),x2762),x2763,a14,a14),a14,a14),f27(f27(a19,f23(a12,x2761,x2763,a14,a14)),x2762)) % 0.40/0.69 [233]E(f27(f27(f5(a2),f27(f27(f5(a2),x2331),x2332)),x2333),f27(f27(f5(a2),x2331),f27(f27(f5(a2),x2332),x2333))) % 0.40/0.69 [234]E(f27(f27(f27(a21,f27(f27(a19,x2341),x2342)),x2343),x2342),x2341) % 0.40/0.69 [219]E(f37(x2191,x2192,f30(x2193),x2194),f27(x2191,x2193)) % 0.40/0.69 [220]E(f39(x2201,x2202,f30(x2203),x2204),f27(x2201,x2203)) % 0.40/0.69 [229]E(f17(x2291,f20(x2292,x2293,x2294),x2294),f20(f17(x2291,x2292,x2294),x2293,x2294)) % 0.40/0.69 [231]E(f20(f20(x2311,x2312,x2313),x2314,x2313),f20(x2311,f20(x2312,x2314,x2313),x2313)) % 0.40/0.69 [240]E(f27(f31(x2401,x2402,x2403,x2404),x2402),x2403) % 0.40/0.69 [244]E(f24(f25(x2441,x2442,x2443,x2444),x2444),f25(x2441,f24(x2442,x2443),x2443,x2444)) % 0.40/0.69 [252]E(f23(x2521,x2522,f16(x2523),x2524,x2523),x2522) % 0.40/0.69 [311]~E(f23(a12,f10(x3111),x3112,a14,a14),f23(a12,f3(x3113),x3114,a14,a14)) % 0.40/0.69 [239]E(f27(f27(a12,f18(x2391,x2392,x2393)),f18(x2391,x2394,x2393)),f18(x2391,f27(f27(a12,x2392),x2394),x2393)) % 0.40/0.69 [259]E(f23(f6(x2591,x2592,x2593,x2593),x2594,f24(f16(x2592),x2592),x2593,x2592),x2594) % 0.40/0.69 [310]~E(f27(f27(a12,f10(x3101)),x3102),f23(a12,f3(x3103),x3104,a14,a14)) % 0.40/0.69 [246]E(f27(f27(a12,f27(f27(f27(a21,x2461),x2462),x2463)),f27(f27(f27(a21,x2464),x2462),x2463)),f27(f27(f27(a21,f27(f27(a12,x2461),x2464)),x2462),x2463)) % 0.40/0.69 [279]E(f23(a12,f27(f27(f27(a21,x2791),x2792),x2793),f25(f27(f6(f27(f6(a21,a14,a14,f42(a2,a14)),x2792),a14,a2,a14),x2793),x2794,a14,a14),a14,a14),f27(f27(f27(a21,f23(a12,x2791,x2794,a14,a14)),x2792),x2793)) % 0.40/0.69 [248]E(f25(x2481,f17(x2482,x2483,x2484),x2484,x2485),f17(f27(x2481,x2482),f25(x2481,x2483,x2484,x2485),x2485)) % 0.40/0.69 [249]E(f17(f27(x2491,x2492),f25(x2491,x2493,x2494,x2495),x2495),f25(x2491,f17(x2492,x2493,x2494),x2494,x2495)) % 0.40/0.69 [257]E(f20(f25(x2571,x2572,x2573,x2574),f25(x2571,x2575,x2573,x2574),x2574),f25(x2571,f20(x2572,x2575,x2573),x2573,x2574)) % 0.40/0.69 [258]E(f31(f31(x2581,f4(a2),x2582,x2583),f28(x2584),x2585,x2583),f31(f31(x2581,x2584,x2585,x2583),f4(a2),x2582,x2583)) % 0.40/0.69 [232]E(f37(x2321,x2322,f27(f27(a38,x2323),x2324),x2325),f27(f27(x2322,x2323),x2324)) % 0.40/0.69 [260]E(f27(f27(f27(f27(x2601,x2602),x2603),f39(x2604,x2601,x2602,x2605)),f39(x2604,x2601,x2603,x2605)),f39(x2604,x2601,f27(f27(a38,x2602),x2603),x2605)) % 0.40/0.69 [268]E(f23(f6(f6(x2681,x2682,x2683,x2682),x2683,x2682,x2682),x2684,f24(f24(x2685,x2683),x2683),x2682,x2683),f23(x2681,x2684,x2685,x2682,x2683)) % 0.40/0.69 [262]E(f27(f7(x2621,x2622,x2623,x2624,x2625),x2626),f27(x2621,f27(x2622,x2626))) % 0.40/0.69 [266]E(f25(x2661,f25(x2662,x2663,x2664,x2665),x2665,x2666),f25(f7(x2661,x2662,x2665,x2666,x2664),x2663,x2664,x2666)) % 0.40/0.69 [270]E(f23(x2701,f23(x2701,x2702,x2703,x2704,x2705),x2706,x2704,x2705),f23(x2701,x2702,f20(x2703,x2706,x2705),x2704,x2705)) % 0.40/0.69 [251]E(f27(f27(f6(x2511,x2512,x2513,x2514),x2515),x2516),f27(f27(x2511,x2516),x2515)) % 0.40/0.69 [264]E(f23(x2641,x2642,f17(x2643,x2644,x2645),x2646,x2645),f23(x2641,f27(f27(x2641,x2642),x2643),x2644,x2646,x2645)) % 0.40/0.69 [271]E(f23(f6(x2711,x2712,x2713,x2713),x2714,f24(f17(x2715,x2716,x2712),x2712),x2713,x2712),f27(f27(x2711,x2715),f23(f6(x2711,x2712,x2713,x2713),x2714,f24(x2716,x2712),x2713,x2712))) % 0.40/0.69 [273]E(f23(f6(x2731,x2732,x2733,x2733),f23(f6(x2731,x2732,x2733,x2733),x2734,f24(x2735,x2732),x2733,x2732),f24(x2736,x2732),x2733,x2732),f23(f6(x2731,x2732,x2733,x2733),x2734,f24(f20(x2736,x2735,x2732),x2732),x2733,x2732)) % 0.40/0.69 [274]E(f7(x2741,f7(x2742,x2743,x2744,x2745,x2746),x2745,x2747,x2746),f7(f7(x2741,x2742,x2745,x2747,x2744),x2743,x2744,x2747,x2746)) % 0.40/0.69 [277]E(f23(f6(x2771,x2772,x2773,x2773),x2774,f24(f25(x2775,x2776,x2777,x2772),x2772),x2773,x2772),f23(f6(f7(x2771,x2775,x2772,f42(x2773,x2773),x2777),x2777,x2773,x2773),x2774,f24(x2776,x2777),x2773,x2777)) % 0.40/0.69 [319]~P38(x3191)+~E(f8(x3191),f4(x3191)) % 0.40/0.69 [327]E(x3271,f4(a2))+P9(f4(a2),x3271,a2) % 0.40/0.69 [341]~P27(x3411)+P9(f4(x3411),f8(x3411),x3411) % 0.40/0.69 [342]~P27(x3421)+P15(f4(x3421),f8(x3421),x3421) % 0.40/0.69 [386]~P27(x3861)+~P9(f8(x3861),f4(x3861),x3861) % 0.40/0.69 [387]~P27(x3871)+~P15(f8(x3871),f4(x3871),x3871) % 0.40/0.69 [320]~P35(x3201)+E(f26(f4(a2),x3201),f4(x3201)) % 0.40/0.69 [347]~P23(x3471)+E(f27(f27(f5(x3471),f4(x3471)),f4(x3471)),f4(x3471)) % 0.40/0.69 [349]~P39(f27(a9,x3491))+P39(f27(a9,f10(x3491))) % 0.40/0.69 [379]E(x3791,f4(a2))+~P9(x3791,f28(f4(a2)),a2) % 0.40/0.69 [464]~P27(x4641)+P9(f4(x4641),f27(f27(f5(x4641),f8(x4641)),f8(x4641)),x4641) % 0.40/0.69 [614]~P10(a9,x6141,a14)+P10(a9,f25(f27(f6(a19,a14,a2,a14),f4(a2)),x6141,a14,a14),a14) % 0.40/0.69 [328]~P1(x3282)+P15(x3281,x3281,x3282) % 0.40/0.69 [329]~P29(x3292)+P15(x3291,x3291,x3292) % 0.40/0.69 [359]~P9(x3592,x3592,x3591)+~P1(x3591) % 0.40/0.69 [360]~P9(x3602,x3602,x3601)+~P2(x3601) % 0.40/0.69 [361]~P9(x3612,x3612,x3611)+~P29(x3611) % 0.40/0.69 [314]E(x3141,x3142)+~E(f28(x3141),f28(x3142)) % 0.40/0.69 [315]E(x3151,x3152)+~E(f3(x3151),f3(x3152)) % 0.40/0.69 [316]E(x3161,x3162)+~E(f10(x3161),f10(x3162)) % 0.40/0.69 [317]E(x3171,x3172)+~E(f30(x3171),f30(x3172)) % 0.40/0.69 [322]~E(f24(x3221,x3222),f16(x3222))+E(x3221,f16(x3222)) % 0.40/0.69 [323]~P1(x3232)+P1(f42(x3231,x3232)) % 0.40/0.69 [324]~P29(x3242)+P29(f42(x3241,x3242)) % 0.40/0.69 [363]~P27(x3631)+P15(f4(x3631),f26(x3632,x3631),x3631) % 0.40/0.69 [388]P9(x3881,x3882,a2)+P9(x3882,f28(x3881),a2) % 0.40/0.69 [408]~P9(x4081,x4082,a2)+P9(x4081,f28(x4082),a2) % 0.40/0.69 [409]~P27(x4091)+~P9(f26(x4092,x4091),f4(x4091),x4091) % 0.40/0.69 [410]P9(x4101,x4102,a2)+~P9(f28(x4101),x4102,a2) % 0.40/0.69 [422]~P9(x4221,x4222,a2)+P9(f28(x4221),f28(x4222),a2) % 0.40/0.69 [431]P9(x4311,x4312,a2)+~P9(f28(x4311),f28(x4312),a2) % 0.40/0.69 [442]~P9(x4421,x4422,a2)+~P9(x4422,f28(x4421),a2) % 0.40/0.69 [330]~P5(x3301)+E(f27(f27(f5(x3301),x3302),f4(x3301)),x3302) % 0.40/0.69 [331]~P30(x3311)+E(f27(f27(f5(x3311),x3312),f4(x3311)),x3312) % 0.40/0.69 [332]~P22(x3321)+E(f27(f27(f5(x3321),x3322),f4(x3321)),x3322) % 0.40/0.69 [333]~P28(x3332)+E(f29(x3331,f4(a2),x3332),f8(x3332)) % 0.40/0.69 [334]~P30(x3342)+E(f29(x3341,f4(a2),x3342),f8(x3342)) % 0.40/0.69 [335]~P21(x3351)+E(f29(f8(x3351),x3352,x3351),f8(x3351)) % 0.40/0.69 [395]~P35(x3951)+E(f27(f27(f5(x3951),f8(x3951)),f26(x3952,x3951)),f26(f28(x3952),x3951)) % 0.40/0.69 [441]~P27(x4412)+P9(x4411,f27(f27(f5(x4412),x4411),f8(x4412)),x4412) % 0.40/0.69 [473]~P39(f27(f27(a11,x4731),x4732))+P39(f27(f27(a11,f10(x4731)),f10(x4732))) % 0.40/0.69 [617]~P22(x6171)+E(f23(f6(f5(x6171),x6171,x6171,x6171),f4(x6171),f24(x6172,x6171),x6171,x6171),f23(f5(x6171),f4(x6171),x6172,x6171,x6171)) % 0.40/0.69 [336]~P5(x3361)+E(f27(f27(f5(x3361),f4(x3361)),x3362),x3362) % 0.40/0.69 [338]~P30(x3381)+E(f27(f27(f5(x3381),f4(x3381)),x3382),x3382) % 0.40/0.69 [339]~P22(x3391)+E(f27(f27(f5(x3391),f4(x3391)),x3392),x3392) % 0.40/0.69 [344]E(x3441,f4(a2))+~E(f27(f27(f5(a2),x3442),x3441),x3442) % 0.40/0.69 [345]E(x3451,f4(a2))+~E(f27(f27(f5(a2),x3452),x3451),f4(a2)) % 0.40/0.69 [346]E(x3461,f4(a2))+~E(f27(f27(f5(a2),x3461),x3462),f4(a2)) % 0.40/0.69 [407]~P9(x4071,x4072,a2)+E(f27(f27(a19,f3(x4071)),x4072),f3(x4071)) % 0.40/0.69 [466]~P39(f27(a9,x4661))+P39(f27(a9,f27(f27(a19,x4661),x4662))) % 0.40/0.69 [484]~P39(f27(a9,x4841))+P39(f27(a9,f27(f27(a12,x4841),f3(x4842)))) % 0.40/0.69 [631]~P10(a9,x6312,a14)+P39(f27(a9,f23(a12,f3(x6311),x6312,a14,a14))) % 0.40/0.69 [352]E(x3521,x3522)+~P13(x3521,x3522,x3523) % 0.40/0.69 [325]E(x3251,x3252)+~E(f24(x3251,x3253),f24(x3252,x3253)) % 0.40/0.69 [357]~E(f20(x3573,x3571,x3572),x3573)+E(x3571,f16(x3572)) % 0.40/0.69 [358]~E(f20(x3581,x3583,x3582),x3583)+E(x3581,f16(x3582)) % 0.40/0.69 [371]~E(f20(x3713,x3711,x3712),f16(x3712))+E(x3711,f16(x3712)) % 0.40/0.69 [372]~E(f20(x3721,x3723,x3722),f16(x3722))+E(x3721,f16(x3722)) % 0.40/0.69 [382]~P8(x3821,f3(x3822),x3823)+E(f27(x3821,x3822),x3823) % 0.40/0.69 [604]~E(f3(x6042),f23(a12,x6043,x6041,a14,a14))+E(x6041,f16(a14)) % 0.40/0.69 [605]~E(f10(x6052),f23(a12,x6053,x6051,a14,a14))+E(x6051,f16(a14)) % 0.40/0.69 [606]~E(f23(a12,x6062,x6061,a14,a14),f10(x6063))+E(x6061,f16(a14)) % 0.40/0.69 [607]E(x6071,f10(x6072))+~E(f23(a12,x6071,x6073,a14,a14),f10(x6072)) % 0.40/0.69 [608]E(f3(x6081),x6082)+~E(f3(x6081),f23(a12,x6082,x6083,a14,a14)) % 0.40/0.69 [609]E(f10(x6091),x6092)+~E(f10(x6091),f23(a12,x6092,x6093,a14,a14)) % 0.40/0.69 [620]E(x6201,x6202)+~E(f23(a12,x6201,x6203,a14,a14),f23(a12,x6202,x6203,a14,a14)) % 0.40/0.69 [416]~P9(x4162,x4163,a2)+E(f18(x4161,f3(x4162),x4163),f3(x4162)) % 0.40/0.69 [443]~E(f24(x4431,x4433),f17(x4432,f16(x4433),x4433))+E(x4431,f17(x4432,f16(x4433),x4433)) % 0.40/0.69 [444]~E(f17(x4442,f16(x4443),x4443),f24(x4441,x4443))+E(x4441,f17(x4442,f16(x4443),x4443)) % 0.40/0.69 [610]E(f27(f27(a12,x6101),x6102),x6103)+~E(f27(f27(a12,x6101),x6102),f23(a12,x6103,f16(a14),a14,a14)) % 0.40/0.69 [616]~P6(x6161)+E(f23(f6(f5(x6161),x6161,x6161,x6161),x6162,f24(x6163,x6161),x6161,x6161),f23(f5(x6161),x6162,x6163,x6161,x6161)) % 0.40/0.69 [640]~P39(f27(f27(a11,x6401),x6403))+P39(f27(f27(a11,f23(a12,x6401,x6402,a14,a14)),f23(a12,x6403,x6402,a14,a14))) % 0.40/0.69 [641]~P11(a11,x6412,x6413,a14)+P39(f27(f27(a11,f23(a12,x6411,x6412,a14,a14)),f23(a12,x6411,x6413,a14,a14))) % 0.40/0.69 [383]~P5(x3831)+E(f27(f27(f5(x3831),x3832),x3833),f27(f27(f5(x3831),x3833),x3832)) % 0.40/0.69 [385]~P30(x3851)+E(f27(f27(f5(x3851),x3852),x3853),f27(f27(f5(x3851),x3853),x3852)) % 0.40/0.69 [412]E(x4121,x4122)+~E(f27(f27(f5(a2),x4123),x4121),f27(f27(f5(a2),x4123),x4122)) % 0.40/0.69 [413]E(x4131,x4132)+~E(f27(f27(f5(a2),x4131),x4133),f27(f27(f5(a2),x4132),x4133)) % 0.40/0.69 [468]~P9(x4681,x4683,a2)+P9(x4681,f27(f27(f5(a2),x4682),x4683),a2) % 0.40/0.69 [470]~P9(x4701,x4702,a2)+P9(x4701,f27(f27(f5(a2),x4702),x4703),a2) % 0.40/0.69 [497]P9(x4971,x4972,a2)+~P9(f27(f27(f5(a2),x4971),x4973),x4972,a2) % 0.40/0.69 [508]~P9(x5081,x5083,a2)+P9(f27(f27(f5(a2),x5081),x5082),f27(f27(f5(a2),x5083),x5082),a2) % 0.40/0.69 [509]~P9(x5092,x5093,a2)+P9(f27(f27(f5(a2),x5091),x5092),f27(f27(f5(a2),x5091),x5093),a2) % 0.40/0.69 [553]P9(x5531,x5532,a2)+~P9(f27(f27(f5(a2),x5533),x5531),f27(f27(f5(a2),x5533),x5532),a2) % 0.40/0.69 [580]~P39(f27(f27(a11,x5801),x5803))+P39(f27(f27(a11,f27(f27(a19,x5801),x5802)),f27(f27(a19,x5803),x5802))) % 0.40/0.69 [581]~P39(f27(f27(a11,x5811),x5813))+P39(f27(f27(a11,f27(f27(a12,x5811),x5812)),f27(f27(a12,x5813),x5812))) % 0.40/0.69 [582]~P39(f27(f27(a11,x5822),x5823))+P39(f27(f27(a11,f27(f27(a12,x5821),x5822)),f27(f27(a12,x5821),x5823))) % 0.40/0.69 [619]~P22(x6191)+E(f27(f27(f5(x6191),x6192),f23(f5(x6191),f4(x6191),x6193,x6191,x6191)),f23(f5(x6191),x6192,x6193,x6191,x6191)) % 0.40/0.69 [630]~P22(x6301)+E(f27(f27(f5(x6301),x6302),f23(f6(f5(x6301),x6301,x6301,x6301),f4(x6301),f24(x6303,x6301),x6301,x6301)),f23(f5(x6301),x6302,x6303,x6301,x6301)) % 0.40/0.69 [461]~P9(x4611,x4613,a2)+E(f27(f27(f27(a21,f3(x4611)),x4612),x4613),f3(x4611)) % 0.40/0.69 [465]P9(x4652,x4653,a2)+E(f18(x4651,f3(x4652),x4653),f3(f27(f27(f5(a2),x4652),x4651))) % 0.40/0.69 [485]~P35(x4851)+E(f27(f27(f5(x4851),f26(x4852,x4851)),f26(x4853,x4851)),f26(f27(f27(f5(a2),x4852),x4853),x4851)) % 0.40/0.69 [562]~P39(f27(a9,x5621))+P39(f27(a9,f27(f27(f27(a21,x5621),f3(x5622)),x5623))) % 0.40/0.69 [642]P11(a11,x6421,f22(x6422,x6421,x6423),a14)+~P39(f27(f27(a11,f23(a12,f3(x6422),x6421,a14,a14)),x6423)) % 0.40/0.69 [644]E(f23(a12,f3(x6441),f22(x6441,x6442,x6443),a14,a14),x6443)+~P39(f27(f27(a11,f23(a12,f3(x6441),x6442,a14,a14)),x6443)) % 0.40/0.69 [435]E(x4351,x4352)+~E(f20(x4353,x4351,x4354),f20(x4353,x4352,x4354)) % 0.40/0.69 [437]E(x4371,x4372)+~E(f20(x4371,x4373,x4374),f20(x4372,x4373,x4374)) % 0.40/0.69 [503]P10(x5031,x5032,x5033)+~P10(x5031,f20(x5034,x5032,x5033),x5033) % 0.40/0.69 [504]P10(x5041,x5042,x5043)+~P10(x5041,f20(x5042,x5044,x5043),x5043) % 0.40/0.69 [545]~E(f25(x5453,x5451,x5452,x5454),f16(x5454))+E(x5451,f16(x5452)) % 0.40/0.69 [627]P14(x6271,x6272,f33(x6273,x6271,x6274,x6272))+~P8(x6271,f23(a12,x6274,x6272,a14,a14),x6273) % 0.40/0.69 [628]P14(x6281,x6282,f34(x6283,x6281,x6284,x6282))+~P8(x6281,f23(a12,x6284,x6282,a14,a14),x6283) % 0.40/0.69 [376]~P12(x3761,x3764)+E(f27(f27(x3761,x3762),x3763),f27(f27(x3761,x3763),x3762)) % 0.40/0.69 [396]E(x3961,x3962)+~E(f27(f27(a12,x3963),x3961),f27(f27(a12,x3964),x3962)) % 0.40/0.69 [397]E(x3971,x3972)+~E(f27(f27(a38,x3973),x3971),f27(f27(a38,x3974),x3972)) % 0.40/0.69 [398]E(x3981,x3982)+~E(f27(f27(a12,x3981),x3983),f27(f27(a12,x3982),x3984)) % 0.40/0.69 [399]E(x3991,x3992)+~E(f27(f27(a38,x3991),x3993),f27(f27(a38,x3992),x3994)) % 0.40/0.69 [586]P8(x5861,x5862,f32(x5863,x5861,x5864,x5862))+~P8(x5861,f27(f27(a12,x5864),x5862),x5863) % 0.40/0.69 [592]P8(x5921,f10(x5922),f27(f27(a38,x5923),x5924))+~P8(f31(x5921,f4(a2),x5923,a41),x5922,x5924) % 0.40/0.69 [615]~P12(x6151,x6152)+E(f23(f6(x6151,x6152,x6152,x6152),x6153,f24(x6154,x6152),x6152,x6152),f23(x6151,x6153,x6154,x6152,x6152)) % 0.40/0.69 [622]E(x6221,x6222)+~E(f23(a12,f3(x6223),x6221,a14,a14),f23(a12,f3(x6224),x6222,a14,a14)) % 0.40/0.69 [623]E(x6231,x6232)+~E(f23(a12,f10(x6233),x6231,a14,a14),f23(a12,f10(x6234),x6232,a14,a14)) % 0.40/0.69 [624]E(x6241,x6242)+~E(f23(a12,f3(x6241),x6243,a14,a14),f23(a12,f3(x6242),x6244,a14,a14)) % 0.40/0.69 [625]E(x6251,x6252)+~E(f23(a12,f10(x6251),x6253,a14,a14),f23(a12,f10(x6252),x6254,a14,a14)) % 0.40/0.69 [629]P14(x6291,x6292,f35(x6293,x6291,x6294,x6292))+~P8(x6291,f23(a12,f3(x6294),x6292,a14,a14),x6293) % 0.40/0.69 [502]~E(f24(x5021,x5023),f17(x5024,x5022,x5023))+E(x5021,f20(f24(x5022,x5023),f17(x5024,f16(x5023),x5023),x5023)) % 0.40/0.69 [601]P39(f27(x6011,f27(x6012,x6013)))+~P39(f27(x6011,f37(x6012,x6014,f30(x6013),a40))) % 0.40/0.69 [613]~P8(x6131,f27(f27(a12,x6132),x6134),x6133)+P8(x6131,x6132,f27(f27(a38,f32(x6133,x6131,x6132,x6134)),x6133)) % 0.40/0.69 [635]~P8(x6351,f23(a12,x6352,x6354,a14,a14),x6353)+P8(x6351,x6352,f23(f6(a38,a41,a41,a41),x6353,f24(f33(x6353,x6351,x6352,x6354),a41),a41,a41)) % 0.40/0.69 [636]~P8(x6361,f23(a12,x6362,x6364,a14,a14),x6363)+P8(x6361,x6362,f23(f6(a38,a41,a41,a41),x6363,f24(f34(x6363,x6361,x6362,x6364),a41),a41,a41)) % 0.40/0.69 [637]~P8(x6371,f23(a12,f3(x6372),x6374,a14,a14),x6373)+P8(x6371,f3(x6372),f23(f6(a38,a41,a41,a41),x6373,f24(f35(x6373,x6371,x6372,x6374),a41),a41,a41)) % 0.40/0.69 [505]~P5(x5051)+E(f27(f27(f5(x5051),x5052),f27(f27(f5(x5051),x5053),x5054)),f27(f27(f5(x5051),x5053),f27(f27(f5(x5051),x5052),x5054))) % 0.40/0.69 [506]~P30(x5061)+E(f27(f27(f5(x5061),x5062),f27(f27(f5(x5061),x5063),x5064)),f27(f27(f5(x5061),x5063),f27(f27(f5(x5061),x5062),x5064))) % 0.40/0.69 [507]~P17(x5071)+E(f27(f27(f5(x5071),x5072),f27(f27(f5(x5071),x5073),x5074)),f27(f27(f5(x5071),x5073),f27(f27(f5(x5071),x5072),x5074))) % 0.40/0.69 [595]~P39(f27(f27(a11,x5951),x5954))+P39(f27(f27(a11,f27(f27(f27(a21,x5951),x5952),x5953)),f27(f27(f27(a21,x5954),x5952),x5953))) % 0.40/0.69 [621]~P26(x6211)+E(f23(f5(x6211),f27(f27(f5(x6211),x6212),x6213),x6214,x6211,x6211),f27(f27(f5(x6211),x6212),f23(f5(x6211),x6213,x6214,x6211,x6211))) % 0.40/0.69 [550]~P5(x5501)+E(f27(f27(f5(x5501),f27(f27(f5(x5501),x5502),x5503)),x5504),f27(f27(f5(x5501),x5502),f27(f27(f5(x5501),x5503),x5504))) % 0.40/0.69 [551]~P30(x5511)+E(f27(f27(f5(x5511),f27(f27(f5(x5511),x5512),x5513)),x5514),f27(f27(f5(x5511),x5512),f27(f27(f5(x5511),x5513),x5514))) % 0.40/0.69 [552]~P6(x5521)+E(f27(f27(f5(x5521),f27(f27(f5(x5521),x5522),x5523)),x5524),f27(f27(f5(x5521),x5522),f27(f27(f5(x5521),x5523),x5524))) % 0.40/0.69 [569]~P30(x5691)+E(f27(f27(f5(x5691),f27(f27(f5(x5691),x5692),x5693)),x5694),f27(f27(f5(x5691),f27(f27(f5(x5691),x5692),x5694)),x5693)) % 0.40/0.69 [434]E(x4341,x4342)+~E(f17(x4343,x4341,x4344),f17(x4345,x4342,x4344)) % 0.40/0.69 [436]E(x4361,x4362)+~E(f17(x4361,x4363,x4364),f17(x4362,x4365,x4364)) % 0.40/0.69 [588]~P11(x5881,x5883,x5885,x5884)+P11(x5881,f17(x5882,x5883,x5884),f17(x5882,x5885,x5884),x5884) % 0.40/0.69 [589]~P11(x5891,x5892,x5895,x5894)+P11(x5891,f20(x5892,x5893,x5894),f20(x5895,x5893,x5894),x5894) % 0.40/0.69 [590]~P11(x5901,x5903,x5905,x5904)+P11(x5901,f20(x5902,x5903,x5904),f20(x5902,x5905,x5904),x5904) % 0.40/0.69 [577]P11(x5771,f17(x5772,x5773,x5774),f17(x5775,x5773,x5774),x5774)+~P39(f27(f27(x5771,x5772),x5775)) % 0.40/0.69 [578]~P9(x5785,x5782,a2)+E(f27(f31(x5781,x5782,x5783,x5784),x5785),f27(x5781,x5785)) % 0.40/0.69 [583]~P8(x5831,x5834,x5835)+P8(f31(x5831,x5832,x5833,a41),f27(f27(a19,x5834),x5832),x5835) % 0.40/0.69 [486]~P12(x4861,x4865)+E(f27(f27(x4861,x4862),f27(f27(x4861,x4863),x4864)),f27(f27(x4861,x4863),f27(f27(x4861,x4862),x4864))) % 0.40/0.69 [571]E(x5711,x5712)+~E(f20(x5713,f17(x5711,f16(x5714),x5714),x5714),f20(x5715,f17(x5712,f16(x5714),x5714),x5714)) % 0.40/0.69 [572]E(x5721,x5722)+~E(f20(x5721,f17(x5723,f16(x5724),x5724),x5724),f20(x5722,f17(x5725,f16(x5724),x5724),x5724)) % 0.40/0.69 [618]~P14(x6181,x6184,x6185)+P14(f31(x6181,x6182,x6183,a41),f25(f27(f6(a19,a14,a2,a14),x6182),x6184,a14,a14),x6185) % 0.40/0.69 [516]~P12(x5161,x5165)+E(f27(f27(x5161,f27(f27(x5161,x5162),x5163)),x5164),f27(f27(x5161,x5162),f27(f27(x5161,x5163),x5164))) % 0.40/0.69 [584]~P30(x5841)+E(f27(f27(f5(x5841),f27(f27(f5(x5841),x5842),x5843)),f27(f27(f5(x5841),x5844),x5845)),f27(f27(f5(x5841),f27(f27(f5(x5841),x5842),x5844)),f27(f27(f5(x5841),x5843),x5845))) % 0.40/0.69 [612]P39(f27(x6121,f27(f27(x6122,x6123),x6124)))+~P39(f27(x6121,f37(x6125,x6122,f27(f27(a38,x6123),x6124),a40))) % 0.40/0.69 [626]~E(f7(x6261,x6262,x6266,x6267,x6268),f7(x6264,x6265,x6269,x6267,x6268))+E(f27(x6261,f27(x6262,x6263)),f27(x6264,f27(x6265,x6263))) % 0.40/0.69 [632]~E(f27(x6321,f27(x6322,x6326)),f27(x6327,f27(x6328,x63211)))+E(f27(f7(x6321,x6322,x6323,x6324,x6325),x6326),f27(f7(x6327,x6328,x6329,x6324,x63210),x63211)) % 0.40/0.69 [458]~P3(x4581)+~P15(f4(x4581),f4(x4581),x4581)+E(f27(f27(f5(x4581),f4(x4581)),f4(x4581)),f4(x4581)) % 0.40/0.69 [381]E(x3811,x3812)+P9(x3812,x3811,a2)+P9(x3811,x3812,a2) % 0.40/0.69 [417]~P9(x4171,x4172,a2)+E(f28(x4171),x4172)+P9(f28(x4171),x4172,a2) % 0.40/0.69 [418]E(x4181,x4182)+P9(x4182,x4181,a2)+~P9(x4182,f28(x4181),a2) % 0.40/0.69 [420]E(x4201,x4202)+P9(x4201,x4202,a2)+~P9(x4201,f28(x4202),a2) % 0.40/0.69 [457]~P27(x4571)+P9(f4(x4571),f26(x4572,x4571),x4571)+~P9(f4(a2),x4572,a2) % 0.40/0.69 [462]~P27(x4622)+~P9(f4(x4622),f26(x4621,x4622),x4622)+P9(f4(a2),x4621,a2) % 0.40/0.69 [340]~P33(x3401)+~P16(x3401)+E(f27(f27(f5(x3401),x3402),f4(x3401)),x3402) % 0.40/0.69 [351]~P28(x3511)+~P36(x3511)+E(f29(f4(x3511),f28(x3512),x3511),f4(x3511)) % 0.40/0.69 [354]E(x3541,f4(a2))+E(x3542,f4(a2))+~E(f27(f27(f5(a2),x3542),x3541),f28(f4(a2))) % 0.40/0.69 [366]E(x3661,f4(a2))+E(x3661,f28(f4(a2)))+~E(f27(f27(f5(a2),x3662),x3661),f28(f4(a2))) % 0.40/0.69 [367]E(x3671,f4(a2))+E(x3671,f28(f4(a2)))+~E(f27(f27(f5(a2),x3671),x3672),f28(f4(a2))) % 0.40/0.69 [374]E(x3741,f28(f4(a2)))+E(x3742,f28(f4(a2)))+~E(f27(f27(f5(a2),x3742),x3741),f28(f4(a2))) % 0.40/0.69 [375]~P23(x3752)+E(x3751,f4(x3752))+~E(f27(f27(f5(x3752),x3751),x3751),f4(x3752)) % 0.40/0.69 [488]~P23(x4881)+~P9(f4(x4881),x4882,x4881)+P9(f4(x4881),f27(f27(f5(x4881),x4882),x4882),x4881) % 0.40/0.69 [489]~P23(x4891)+~P15(f4(x4891),x4892,x4891)+P15(f4(x4891),f27(f27(f5(x4891),x4892),x4892),x4891) % 0.40/0.69 [490]~P23(x4901)+~P9(x4902,f4(x4901),x4901)+P9(f27(f27(f5(x4901),x4902),x4902),f4(x4901),x4901) % 0.40/0.69 [491]~P34(x4911)+~P9(x4912,f4(x4911),x4911)+P9(f27(f27(f5(x4911),x4912),x4912),f4(x4911),x4911) % 0.40/0.69 [492]~P23(x4921)+~P15(x4922,f4(x4921),x4921)+P15(f27(f27(f5(x4921),x4922),x4922),f4(x4921),x4921) % 0.40/0.69 [510]~P23(x5102)+P9(x5101,f4(x5102),x5102)+~P9(f27(f27(f5(x5102),x5101),x5101),f4(x5102),x5102) % 0.40/0.69 [511]~P34(x5112)+P9(x5111,f4(x5112),x5112)+~P9(f27(f27(f5(x5112),x5111),x5111),f4(x5112),x5112) % 0.40/0.69 [512]~P23(x5122)+P15(x5121,f4(x5122),x5122)+~P15(f27(f27(f5(x5122),x5121),x5121),f4(x5122),x5122) % 0.40/0.69 [513]~P23(x5131)+P9(f4(x5131),x5132,x5131)+~P9(f4(x5131),f27(f27(f5(x5131),x5132),x5132),x5131) % 0.40/0.69 [514]~P23(x5141)+P15(f4(x5141),x5142,x5141)+~P15(f4(x5141),f27(f27(f5(x5141),x5142),x5142),x5141) % 0.40/0.69 [517]P9(f4(a2),x5171,a2)+P9(f4(a2),x5172,a2)+~P9(f4(a2),f27(f27(f5(a2),x5171),x5172),a2) % 0.40/0.69 [392]P15(x3922,x3921,x3923)+~P2(x3923)+P9(x3921,x3922,x3923) % 0.40/0.69 [394]P15(x3942,x3941,x3943)+~P2(x3943)+P15(x3941,x3942,x3943) % 0.40/0.69 [414]~P1(x4143)+~P9(x4141,x4142,x4143)+P15(x4141,x4142,x4143) % 0.40/0.69 [415]~P29(x4153)+~P9(x4151,x4152,x4153)+P15(x4151,x4152,x4153) % 0.40/0.69 [445]~P9(x4453,x4452,x4451)+~P1(x4451)+~P9(x4452,x4453,x4451) % 0.40/0.69 [446]~P9(x4463,x4462,x4461)+~P2(x4461)+~P9(x4462,x4463,x4461) % 0.40/0.69 [448]~P15(x4483,x4482,x4481)+~P2(x4481)+~P9(x4482,x4483,x4481) % 0.40/0.69 [451]~P9(x4513,x4512,x4511)+~P29(x4511)+~P9(x4512,x4513,x4511) % 0.40/0.69 [452]~P15(x4523,x4522,x4521)+~P29(x4521)+~P9(x4522,x4523,x4521) % 0.40/0.69 [326]~P7(x3263)+E(x3261,x3262)+~E(f26(x3261,x3263),f26(x3262,x3263)) % 0.40/0.69 [378]~P37(x3782)+~E(f29(x3781,x3783,x3782),f4(x3782))+E(x3781,f4(x3782)) % 0.40/0.69 [460]~P27(x4602)+~P9(x4601,x4603,a2)+P9(f26(x4601,x4602),f26(x4603,x4602),x4602) % 0.40/0.69 [471]~P9(x4711,x4713,a2)+~P9(x4713,x4712,a2)+P9(f28(x4711),x4712,a2) % 0.40/0.69 [472]~P27(x4723)+~P9(f26(x4721,x4723),f26(x4722,x4723),x4723)+P9(x4721,x4722,a2) % 0.40/0.69 [493]~P27(x4931)+~P9(f4(x4931),x4932,x4931)+P9(f4(x4931),f29(x4932,x4933,x4931),x4931) % 0.40/0.69 [494]~P27(x4941)+~P15(f8(x4941),x4942,x4941)+P15(f8(x4941),f29(x4942,x4943,x4941),x4941) % 0.40/0.69 [495]~P27(x4951)+~P15(f4(x4951),x4952,x4951)+P15(f4(x4951),f29(x4952,x4953,x4951),x4951) % 0.40/0.69 [499]~P27(x4991)+~P9(f8(x4991),x4992,x4991)+P9(f8(x4991),f29(x4992,f28(x4993),x4991),x4991) % 0.40/0.69 [433]E(x4331,x4332)+P9(x4332,x4331,a2)+E(f27(f27(f27(a21,f3(x4331)),x4333),x4332),f3(x4331)) % 0.40/0.69 [639]~P39(f27(a9,x6392))+~P39(f27(a9,f23(a12,f27(f27(f27(a21,x6391),x6392),f4(a2)),x6393,a14,a14)))+P39(f27(a9,f23(a12,f27(f27(a12,f10(x6391)),x6392),x6393,a14,a14))) % 0.40/0.69 [515]~P10(x5151,x5153,x5154)+~P10(x5151,x5152,x5154)+P10(x5151,f20(x5152,x5153,x5154),x5154) % 0.40/0.69 [487]P8(x4871,x4872,x4873)+~P8(x4871,x4874,x4873)+~P39(f27(f27(a11,x4874),x4872)) % 0.40/0.69 [438]~P18(x4383)+E(x4381,x4382)+~E(f27(f27(f5(x4383),x4384),x4381),f27(f27(f5(x4383),x4384),x4382)) % 0.40/0.69 [439]~P19(x4393)+E(x4391,x4392)+~E(f27(f27(f5(x4393),x4394),x4391),f27(f27(f5(x4393),x4394),x4392)) % 0.40/0.69 [440]~P19(x4403)+E(x4401,x4402)+~E(f27(f27(f5(x4403),x4401),x4404),f27(f27(f5(x4403),x4402),x4404)) % 0.40/0.69 [498]~P9(x4984,x4983,a2)+P9(x4981,x4982,a2)+~E(f27(f27(f5(a2),x4981),x4983),f27(f27(f5(a2),x4984),x4982)) % 0.40/0.69 [519]~P4(x5191)+~P9(x5192,x5194,x5191)+P9(f27(f27(f5(x5191),x5192),x5193),f27(f27(f5(x5191),x5194),x5193),x5191) % 0.40/0.69 [520]~P25(x5201)+~P9(x5202,x5204,x5201)+P9(f27(f27(f5(x5201),x5202),x5203),f27(f27(f5(x5201),x5204),x5203),x5201) % 0.40/0.69 [521]~P4(x5211)+~P9(x5213,x5214,x5211)+P9(f27(f27(f5(x5211),x5212),x5213),f27(f27(f5(x5211),x5212),x5214),x5211) % 0.40/0.69 [522]~P25(x5221)+~P9(x5223,x5224,x5221)+P9(f27(f27(f5(x5221),x5222),x5223),f27(f27(f5(x5221),x5222),x5224),x5221) % 0.40/0.69 [523]~P4(x5231)+~P15(x5232,x5234,x5231)+P15(f27(f27(f5(x5231),x5232),x5233),f27(f27(f5(x5231),x5234),x5233),x5231) % 0.40/0.69 [524]~P20(x5241)+~P15(x5242,x5244,x5241)+P15(f27(f27(f5(x5241),x5242),x5243),f27(f27(f5(x5241),x5244),x5243),x5241) % 0.40/0.69 [525]~P4(x5251)+~P15(x5253,x5254,x5251)+P15(f27(f27(f5(x5251),x5252),x5253),f27(f27(f5(x5251),x5252),x5254),x5251) % 0.40/0.69 [526]~P20(x5261)+~P15(x5263,x5264,x5261)+P15(f27(f27(f5(x5261),x5262),x5263),f27(f27(f5(x5261),x5262),x5264),x5261) % 0.40/0.69 [546]~P9(x5462,x5464,a2)+~P9(x5461,x5463,a2)+P9(f27(f27(f5(a2),x5461),x5462),f27(f27(f5(a2),x5463),x5464),a2) % 0.40/0.69 [564]~P4(x5643)+P9(x5641,x5642,x5643)+~P9(f27(f27(f5(x5643),x5644),x5641),f27(f27(f5(x5643),x5644),x5642),x5643) % 0.40/0.69 [565]~P4(x5653)+P9(x5651,x5652,x5653)+~P9(f27(f27(f5(x5653),x5651),x5654),f27(f27(f5(x5653),x5652),x5654),x5653) % 0.40/0.69 [566]~P4(x5663)+P15(x5661,x5662,x5663)+~P15(f27(f27(f5(x5663),x5664),x5661),f27(f27(f5(x5663),x5664),x5662),x5663) % 0.40/0.69 [567]~P4(x5673)+P15(x5671,x5672,x5673)+~P15(f27(f27(f5(x5673),x5671),x5674),f27(f27(f5(x5673),x5672),x5674),x5673) % 0.40/0.69 [547]~P8(x5471,x5473,x5475)+~P8(x5471,x5472,f27(f27(a38,x5475),x5474))+P8(x5471,f27(f27(a12,x5472),x5473),x5474) % 0.40/0.69 [633]E(x6331,x6332)+~P8(x6333,f23(a12,f3(x6334),x6335,a14,a14),x6331)+~P8(x6333,f23(a12,f3(x6334),x6335,a14,a14),x6332) % 0.40/0.69 [634]~P14(x6341,x6343,x6345)+P8(x6341,f23(a12,x6342,x6343,a14,a14),x6344)+~P8(x6341,x6342,f23(f6(a38,a41,a41,a41),x6344,f24(x6345,a41),a41,a41)) % 0.40/0.69 [541]~P17(x5411)+E(f27(f27(f5(x5411),x5412),x5413),x5414)+~E(f27(f27(f5(x5411),x5412),f27(f27(f5(x5411),x5415),x5413)),f27(f27(f5(x5411),x5415),x5414)) % 0.40/0.69 [585]E(x5851,x5852)+E(x5853,x5854)+~P11(x5855,f17(x5854,x5852,x5856),f17(x5853,x5851,x5856),x5856) % 0.40/0.69 [591]E(x5911,x5912)+P11(x5913,x5911,x5912,x5914)+~P11(x5913,f17(x5915,x5911,x5914),f17(x5916,x5912,x5914),x5914) % 0.40/0.69 [587]E(x5871,x5872)+~P11(x5873,f17(x5872,x5874,x5875),f17(x5871,x5876,x5875),x5875)+P39(f27(f27(x5873,x5872),x5871)) % 0.40/0.69 [593]P11(x5931,x5932,x5933,x5934)+~P11(x5931,f17(x5935,x5932,x5934),f17(x5936,x5933,x5934),x5934)+P39(f27(f27(x5931,x5935),x5936)) % 0.40/0.69 [594]~P8(x5941,x5943,x5946)+~P8(f31(x5941,x5944,x5946,a41),x5942,x5945)+P8(x5941,f27(f27(f27(a21,x5942),x5943),x5944),x5945) % 0.40/0.69 [598]E(x5981,x5982)+E(x5983,x5984)+~P11(x5985,f20(x5983,f17(x5981,f16(x5986),x5986),x5986),f20(x5984,f17(x5982,f16(x5986),x5986),x5986),x5986) % 0.40/0.69 [599]E(x5991,x5992)+~P11(x5993,f20(x5994,f17(x5991,f16(x5995),x5995),x5995),f20(x5996,f17(x5992,f16(x5995),x5995),x5995),x5995)+P39(f27(f27(x5993,x5991),x5992)) % 0.40/0.69 [602]E(x6021,x6022)+P11(x6023,x6021,x6022,x6024)+~P11(x6023,f20(x6021,f17(x6025,f16(x6024),x6024),x6024),f20(x6022,f17(x6026,f16(x6024),x6024),x6024),x6024) % 0.40/0.69 [603]P11(x6031,x6032,x6033,x6034)+~P11(x6031,f20(x6032,f17(x6035,f16(x6034),x6034),x6034),f20(x6033,f17(x6036,f16(x6034),x6034),x6034),x6034)+P39(f27(f27(x6031,x6035),x6036)) % 0.40/0.69 [638]~P8(x6381,x6382,x6386)+~P14(f31(x6381,x6383,x6386,a41),x6384,x6385)+P14(x6381,f25(f27(f6(f27(f6(a21,a14,a14,f42(a2,a14)),x6382),a14,a2,a14),x6383),x6384,a14,a14),x6385) % 0.40/0.69 [350]~P28(x3502)+~P36(x3502)+E(x3501,f4(a2))+E(f29(f4(x3502),x3501,x3502),f4(x3502)) % 0.40/0.69 [403]P9(x4031,x4032,x4033)+~P2(x4033)+E(x4031,x4032)+P9(x4032,x4031,x4033) % 0.40/0.69 [404]P9(x4041,x4042,x4043)+~P34(x4043)+E(x4041,x4042)+P9(x4042,x4041,x4043) % 0.40/0.69 [428]~P1(x4283)+~P15(x4281,x4282,x4283)+E(x4281,x4282)+P9(x4281,x4282,x4283) % 0.40/0.69 [430]~P2(x4303)+~P15(x4301,x4302,x4303)+E(x4301,x4302)+P9(x4301,x4302,x4303) % 0.40/0.69 [456]~P15(x4562,x4561,x4563)+~P15(x4561,x4562,x4563)+E(x4561,x4562)+~P1(x4563) % 0.40/0.69 [463]P15(x4632,x4631,x4633)+~P29(x4633)+~P15(x4631,x4632,x4633)+P9(x4631,x4632,x4633) % 0.40/0.69 [531]~P27(x5311)+~P9(f8(x5311),x5312,x5311)+P9(f8(x5311),f29(x5312,x5313,x5311),x5311)+~P9(f4(a2),x5313,a2) % 0.40/0.69 [540]~P27(x5403)+~P9(x5401,f8(x5403),x5403)+~P9(f4(x5403),x5401,x5403)+P9(f29(x5401,f28(x5402),x5403),f8(x5403),x5403) % 0.40/0.69 [377]~P33(x3772)+~P16(x3772)+E(x3771,f4(x3772))+~E(f27(f27(f5(x3772),x3773),x3771),x3773) % 0.40/0.69 [532]~P3(x5321)+~P9(f4(x5321),x5323,x5321)+~P9(f4(x5321),x5322,x5321)+P9(f4(x5321),f27(f27(f5(x5321),x5322),x5323),x5321) % 0.40/0.69 [533]~P3(x5331)+~P9(f4(x5331),x5333,x5331)+~P15(f4(x5331),x5332,x5331)+P9(f4(x5331),f27(f27(f5(x5331),x5332),x5333),x5331) % 0.40/0.69 [534]~P3(x5341)+~P9(f4(x5341),x5342,x5341)+~P15(f4(x5341),x5343,x5341)+P9(f4(x5341),f27(f27(f5(x5341),x5342),x5343),x5341) % 0.40/0.69 [535]~P3(x5351)+~P15(f4(x5351),x5353,x5351)+~P15(f4(x5351),x5352,x5351)+P15(f4(x5351),f27(f27(f5(x5351),x5352),x5353),x5351) % 0.40/0.69 [536]~P3(x5361)+~P9(x5363,f4(x5361),x5361)+~P9(x5362,f4(x5361),x5361)+P9(f27(f27(f5(x5361),x5362),x5363),f4(x5361),x5361) % 0.40/0.69 [537]~P3(x5371)+~P9(x5373,f4(x5371),x5371)+~P15(x5372,f4(x5371),x5371)+P9(f27(f27(f5(x5371),x5372),x5373),f4(x5371),x5371) % 0.40/0.69 [538]~P3(x5381)+~P9(x5382,f4(x5381),x5381)+~P15(x5383,f4(x5381),x5381)+P9(f27(f27(f5(x5381),x5382),x5383),f4(x5381),x5381) % 0.40/0.69 [539]~P3(x5391)+~P15(x5393,f4(x5391),x5391)+~P15(x5392,f4(x5391),x5391)+P15(f27(f27(f5(x5391),x5392),x5393),f4(x5391),x5391) % 0.40/0.69 [474]~P1(x4743)+~P9(x4741,x4744,x4743)+P9(x4741,x4742,x4743)+~P9(x4744,x4742,x4743) % 0.40/0.69 [475]~P1(x4753)+~P15(x4751,x4754,x4753)+P9(x4751,x4752,x4753)+~P9(x4754,x4752,x4753) % 0.40/0.69 [476]~P1(x4763)+~P15(x4764,x4762,x4763)+P9(x4761,x4762,x4763)+~P9(x4761,x4764,x4763) % 0.40/0.69 [477]~P29(x4773)+~P9(x4771,x4774,x4773)+P9(x4771,x4772,x4773)+~P9(x4774,x4772,x4773) % 0.40/0.69 [478]~P29(x4783)+~P15(x4781,x4784,x4783)+P9(x4781,x4782,x4783)+~P9(x4784,x4782,x4783) % 0.40/0.69 [479]~P29(x4793)+~P15(x4794,x4792,x4793)+P9(x4791,x4792,x4793)+~P9(x4791,x4794,x4793) % 0.40/0.69 [480]~P1(x4803)+~P15(x4801,x4804,x4803)+P15(x4801,x4802,x4803)+~P15(x4804,x4802,x4803) % 0.40/0.69 [481]~P29(x4813)+~P15(x4811,x4814,x4813)+P15(x4811,x4812,x4813)+~P15(x4814,x4812,x4813) % 0.40/0.69 [496]~P27(x4964)+E(x4961,x4962)+~P9(f8(x4964),x4963,x4964)+~E(f29(x4963,x4961,x4964),f29(x4963,x4962,x4964)) % 0.40/0.69 [560]~P27(x5603)+~P9(x5602,x5604,a2)+~P9(f8(x5603),x5601,x5603)+P9(f29(x5601,x5602,x5603),f29(x5601,x5604,x5603),x5603) % 0.40/0.69 [561]~P27(x5613)+~P15(x5611,x5614,x5613)+~P15(f4(x5613),x5611,x5613)+P15(f29(x5611,x5612,x5613),f29(x5614,x5612,x5613),x5613) % 0.40/0.69 [575]~P27(x5753)+~P9(f29(x5754,x5751,x5753),f29(x5754,x5752,x5753),x5753)+P9(x5751,x5752,a2)+~P9(f8(x5753),x5754,x5753) % 0.40/0.69 [576]~P27(x5763)+P9(x5761,x5762,x5763)+~P15(f4(x5763),x5762,x5763)+~P9(f29(x5761,x5764,x5763),f29(x5762,x5764,x5763),x5763) % 0.40/0.69 [579]~P27(x5793)+P15(x5791,x5792,x5793)+~P15(f4(x5793),x5792,x5793)+~P15(f29(x5791,f28(x5794),x5793),f29(x5792,f28(x5794),x5793),x5793) % 0.40/0.69 [453]~P33(x4533)+~P16(x4533)+E(x4531,x4532)+~E(f27(f27(f5(x4533),x4534),x4531),f27(f27(f5(x4533),x4534),x4532)) % 0.40/0.69 [518]~P27(x5182)+~P9(x5181,x5184,x5182)+~P9(f4(x5182),x5183,x5182)+P9(x5181,f27(f27(f5(x5182),x5183),x5184),x5182) % 0.40/0.69 [554]~P25(x5541)+~P9(x5543,x5545,x5541)+~P9(x5542,x5544,x5541)+P9(f27(f27(f5(x5541),x5542),x5543),f27(f27(f5(x5541),x5544),x5545),x5541) % 0.40/0.69 [555]~P25(x5551)+~P9(x5553,x5555,x5551)+~P15(x5552,x5554,x5551)+P9(f27(f27(f5(x5551),x5552),x5553),f27(f27(f5(x5551),x5554),x5555),x5551) % 0.40/0.69 [556]~P25(x5561)+~P9(x5562,x5564,x5561)+~P15(x5563,x5565,x5561)+P9(f27(f27(f5(x5561),x5562),x5563),f27(f27(f5(x5561),x5564),x5565),x5561) % 0.40/0.69 [557]~P20(x5571)+~P15(x5573,x5575,x5571)+~P15(x5572,x5574,x5571)+P15(f27(f27(f5(x5571),x5572),x5573),f27(f27(f5(x5571),x5574),x5575),x5571) % 0.40/0.69 [568]~P24(x5682)+~P15(x5685,x5684,x5682)+~P15(x5681,f27(f27(f5(x5682),x5683),x5685),x5682)+P15(x5681,f27(f27(f5(x5682),x5683),x5684),x5682) % 0.40/0.69 [643]~P14(x6431,x6435,x6436)+P14(x6431,x6432,f36(x6433,x6434,x6431,x6432))+~P8(x6431,f23(a12,f3(x6437),x6435,a14,a14),x6434)+~P8(x6431,f23(a12,f23(a12,f3(x6437),x6435,a14,a14),x6432,a14,a14),x6433) % 0.40/0.69 [645]~P14(x6453,x6455,x6456)+~P8(x6453,f23(a12,f3(x6457),x6455,a14,a14),x6452)+~P8(x6453,f23(a12,f23(a12,f3(x6457),x6455,a14,a14),x6454,a14,a14),x6451)+E(f23(f6(a38,a41,a41,a41),x6451,f24(f36(x6451,x6452,x6453,x6454),a41),a41,a41),x6452) % 0.40/0.69 [405]~P28(x4052)+~P38(x4052)+~P31(x4052)+~P32(x4052)+~E(f29(x4051,f4(a2),x4052),f4(x4052)) % 0.40/0.69 [500]~P3(x5002)+~P15(f4(x5002),x5001,x5002)+~P15(f4(x5002),x5003,x5002)+E(x5001,f4(x5002))+~E(f27(f27(f5(x5002),x5003),x5001),f4(x5002)) % 0.40/0.69 [501]~P3(x5012)+~P15(f4(x5012),x5013,x5012)+~P15(f4(x5012),x5011,x5012)+E(x5011,f4(x5012))+~E(f27(f27(f5(x5012),x5011),x5013),f4(x5012)) % 0.40/0.69 [570]~P27(x5703)+~P9(x5701,x5704,x5703)+~P15(f4(x5703),x5701,x5703)+P9(f29(x5701,x5702,x5703),f29(x5704,x5702,x5703),x5703)+~P9(f4(a2),x5702,a2) % 0.40/0.69 [573]~P27(x5733)+~P9(x5734,x5732,a2)+~P9(x5731,f8(x5733),x5733)+~P9(f4(x5733),x5731,x5733)+P9(f29(x5731,x5732,x5733),f29(x5731,x5734,x5733),x5733) % 0.40/0.69 [542]~P27(x5424)+E(x5421,x5422)+~P15(f4(x5424),x5422,x5424)+~P15(f4(x5424),x5421,x5424)+~E(f29(x5421,f28(x5423),x5424),f29(x5422,f28(x5423),x5424)) % 0.40/0.69 [527]~P4(x5272)+~P5(x5272)+~P9(x5271,x5274,x5272)+~P15(f4(x5272),x5273,x5272)+P9(x5271,f27(f27(f5(x5272),x5273),x5274),x5272) % 0.40/0.69 [528]~P4(x5282)+~P5(x5282)+~P15(x5281,x5284,x5282)+~P9(f4(x5282),x5283,x5282)+P9(x5281,f27(f27(f5(x5282),x5283),x5284),x5282) % 0.40/0.69 [529]~P4(x5292)+~P5(x5292)+~P15(x5291,x5294,x5292)+~P15(f4(x5292),x5293,x5292)+P15(x5291,f27(f27(f5(x5292),x5293),x5294),x5292) % 0.40/0.69 [530]~P4(x5302)+~P5(x5302)+~P15(x5301,x5303,x5302)+~P15(f4(x5302),x5304,x5302)+P15(x5301,f27(f27(f5(x5302),x5303),x5304),x5302) % 0.40/0.69 [368]~P28(x3682)+~P38(x3682)+~P31(x3682)+~P32(x3682)+E(x3681,f4(a2))+E(f29(f4(x3682),x3681,x3682),f4(x3682)) % 0.40/0.69 [406]~P28(x4062)+~P38(x4062)+~P31(x4062)+~P32(x4062)+~E(f29(x4061,x4063,x4062),f4(x4062))+E(x4061,f4(x4062)) % 0.40/0.69 [563]~P27(x5634)+E(x5631,x5632)+~P15(f4(x5634),x5632,x5634)+~P15(f4(x5634),x5631,x5634)+~E(f29(x5631,x5633,x5634),f29(x5632,x5633,x5634))+~P9(f4(a2),x5633,a2) % 0.40/0.69 [596]~P8(x5966,x5962,x5965)+~P8(f31(x5966,x5963,x5965,a41),x5961,x5967)+~P39(f27(a9,x5962))+~P39(f27(a9,x5961))+~E(f27(f27(a38,x5964),x5965),a44)+P39(f27(a9,f27(f27(f27(a21,x5961),x5962),x5963))) % 0.40/0.69 [597]~P8(x5976,x5972,x5974)+~P8(f31(x5976,x5973,x5974,a41),x5971,x5977)+~P39(f27(a9,x5972))+~P39(f27(a9,x5971))+~E(f27(f27(a38,x5974),x5975),a44)+P39(f27(a9,f27(f27(f27(a21,x5971),x5972),x5973))) % 0.40/0.69 %EqnAxiom % 0.40/0.69 [1]E(x11,x11) % 0.40/0.69 [2]E(x22,x21)+~E(x21,x22) % 0.40/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 0.40/0.69 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 0.40/0.69 [5]~E(x51,x52)+E(f13(x51),f13(x52)) % 0.40/0.69 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 0.40/0.69 [7]~E(x71,x72)+E(f23(x71,x73,x74,x75,x76),f23(x72,x73,x74,x75,x76)) % 0.40/0.69 [8]~E(x81,x82)+E(f23(x83,x81,x84,x85,x86),f23(x83,x82,x84,x85,x86)) % 0.40/0.69 [9]~E(x91,x92)+E(f23(x93,x94,x91,x95,x96),f23(x93,x94,x92,x95,x96)) % 0.40/0.69 [10]~E(x101,x102)+E(f23(x103,x104,x105,x101,x106),f23(x103,x104,x105,x102,x106)) % 0.40/0.69 [11]~E(x111,x112)+E(f23(x113,x114,x115,x116,x111),f23(x113,x114,x115,x116,x112)) % 0.40/0.69 [12]~E(x121,x122)+E(f15(x121,x123),f15(x122,x123)) % 0.40/0.69 [13]~E(x131,x132)+E(f15(x133,x131),f15(x133,x132)) % 0.40/0.69 [14]~E(x141,x142)+E(f42(x141,x143),f42(x142,x143)) % 0.40/0.69 [15]~E(x151,x152)+E(f42(x153,x151),f42(x153,x152)) % 0.40/0.69 [16]~E(x161,x162)+E(f16(x161),f16(x162)) % 0.40/0.69 [17]~E(x171,x172)+E(f24(x171,x173),f24(x172,x173)) % 0.40/0.69 [18]~E(x181,x182)+E(f24(x183,x181),f24(x183,x182)) % 0.40/0.69 [19]~E(x191,x192)+E(f27(x191,x193),f27(x192,x193)) % 0.40/0.69 [20]~E(x201,x202)+E(f27(x203,x201),f27(x203,x202)) % 0.40/0.69 [21]~E(x211,x212)+E(f29(x211,x213,x214),f29(x212,x213,x214)) % 0.40/0.69 [22]~E(x221,x222)+E(f29(x223,x221,x224),f29(x223,x222,x224)) % 0.40/0.69 [23]~E(x231,x232)+E(f29(x233,x234,x231),f29(x233,x234,x232)) % 0.40/0.69 [24]~E(x241,x242)+E(f5(x241),f5(x242)) % 0.40/0.69 [25]~E(x251,x252)+E(f10(x251),f10(x252)) % 0.40/0.69 [26]~E(x261,x262)+E(f28(x261),f28(x262)) % 0.40/0.69 [27]~E(x271,x272)+E(f20(x271,x273,x274),f20(x272,x273,x274)) % 0.40/0.69 [28]~E(x281,x282)+E(f20(x283,x281,x284),f20(x283,x282,x284)) % 0.40/0.69 [29]~E(x291,x292)+E(f20(x293,x294,x291),f20(x293,x294,x292)) % 0.40/0.69 [30]~E(x301,x302)+E(f6(x301,x303,x304,x305),f6(x302,x303,x304,x305)) % 0.40/0.69 [31]~E(x311,x312)+E(f6(x313,x311,x314,x315),f6(x313,x312,x314,x315)) % 0.40/0.69 [32]~E(x321,x322)+E(f6(x323,x324,x321,x325),f6(x323,x324,x322,x325)) % 0.40/0.69 [33]~E(x331,x332)+E(f6(x333,x334,x335,x331),f6(x333,x334,x335,x332)) % 0.40/0.69 [34]~E(x341,x342)+E(f31(x341,x343,x344,x345),f31(x342,x343,x344,x345)) % 0.40/0.69 [35]~E(x351,x352)+E(f31(x353,x351,x354,x355),f31(x353,x352,x354,x355)) % 0.40/0.69 [36]~E(x361,x362)+E(f31(x363,x364,x361,x365),f31(x363,x364,x362,x365)) % 0.40/0.69 [37]~E(x371,x372)+E(f31(x373,x374,x375,x371),f31(x373,x374,x375,x372)) % 0.40/0.69 [38]~E(x381,x382)+E(f25(x381,x383,x384,x385),f25(x382,x383,x384,x385)) % 0.40/0.69 [39]~E(x391,x392)+E(f25(x393,x391,x394,x395),f25(x393,x392,x394,x395)) % 0.40/0.69 [40]~E(x401,x402)+E(f25(x403,x404,x401,x405),f25(x403,x404,x402,x405)) % 0.40/0.69 [41]~E(x411,x412)+E(f25(x413,x414,x415,x411),f25(x413,x414,x415,x412)) % 0.40/0.69 [42]~E(x421,x422)+E(f8(x421),f8(x422)) % 0.40/0.69 [43]~E(x431,x432)+E(f37(x431,x433,x434,x435),f37(x432,x433,x434,x435)) % 0.40/0.69 [44]~E(x441,x442)+E(f37(x443,x441,x444,x445),f37(x443,x442,x444,x445)) % 0.40/0.69 [45]~E(x451,x452)+E(f37(x453,x454,x451,x455),f37(x453,x454,x452,x455)) % 0.40/0.69 [46]~E(x461,x462)+E(f37(x463,x464,x465,x461),f37(x463,x464,x465,x462)) % 0.40/0.69 [47]~E(x471,x472)+E(f7(x471,x473,x474,x475,x476),f7(x472,x473,x474,x475,x476)) % 0.40/0.69 [48]~E(x481,x482)+E(f7(x483,x481,x484,x485,x486),f7(x483,x482,x484,x485,x486)) % 0.40/0.69 [49]~E(x491,x492)+E(f7(x493,x494,x491,x495,x496),f7(x493,x494,x492,x495,x496)) % 0.40/0.69 [50]~E(x501,x502)+E(f7(x503,x504,x505,x501,x506),f7(x503,x504,x505,x502,x506)) % 0.40/0.69 [51]~E(x511,x512)+E(f7(x513,x514,x515,x516,x511),f7(x513,x514,x515,x516,x512)) % 0.40/0.69 [52]~E(x521,x522)+E(f17(x521,x523,x524),f17(x522,x523,x524)) % 0.40/0.69 [53]~E(x531,x532)+E(f17(x533,x531,x534),f17(x533,x532,x534)) % 0.40/0.69 [54]~E(x541,x542)+E(f17(x543,x544,x541),f17(x543,x544,x542)) % 0.40/0.69 [55]~E(x551,x552)+E(f26(x551,x553),f26(x552,x553)) % 0.40/0.69 [56]~E(x561,x562)+E(f26(x563,x561),f26(x563,x562)) % 0.40/0.69 [57]~E(x571,x572)+E(f30(x571),f30(x572)) % 0.40/0.69 [58]~E(x581,x582)+E(f35(x581,x583,x584,x585),f35(x582,x583,x584,x585)) % 0.40/0.69 [59]~E(x591,x592)+E(f35(x593,x591,x594,x595),f35(x593,x592,x594,x595)) % 0.40/0.69 [60]~E(x601,x602)+E(f35(x603,x604,x601,x605),f35(x603,x604,x602,x605)) % 0.40/0.69 [61]~E(x611,x612)+E(f35(x613,x614,x615,x611),f35(x613,x614,x615,x612)) % 0.40/0.69 [62]~E(x621,x622)+E(f39(x621,x623,x624,x625),f39(x622,x623,x624,x625)) % 0.40/0.69 [63]~E(x631,x632)+E(f39(x633,x631,x634,x635),f39(x633,x632,x634,x635)) % 0.40/0.69 [64]~E(x641,x642)+E(f39(x643,x644,x641,x645),f39(x643,x644,x642,x645)) % 0.40/0.69 [65]~E(x651,x652)+E(f39(x653,x654,x655,x651),f39(x653,x654,x655,x652)) % 0.40/0.69 [66]~E(x661,x662)+E(f18(x661,x663,x664),f18(x662,x663,x664)) % 0.40/0.69 [67]~E(x671,x672)+E(f18(x673,x671,x674),f18(x673,x672,x674)) % 0.40/0.69 [68]~E(x681,x682)+E(f18(x683,x684,x681),f18(x683,x684,x682)) % 0.40/0.69 [69]~E(x691,x692)+E(f22(x691,x693,x694),f22(x692,x693,x694)) % 0.40/0.69 [70]~E(x701,x702)+E(f22(x703,x701,x704),f22(x703,x702,x704)) % 0.40/0.69 [71]~E(x711,x712)+E(f22(x713,x714,x711),f22(x713,x714,x712)) % 0.40/0.69 [72]~E(x721,x722)+E(f34(x721,x723,x724,x725),f34(x722,x723,x724,x725)) % 0.40/0.69 [73]~E(x731,x732)+E(f34(x733,x731,x734,x735),f34(x733,x732,x734,x735)) % 0.40/0.69 [74]~E(x741,x742)+E(f34(x743,x744,x741,x745),f34(x743,x744,x742,x745)) % 0.40/0.69 [75]~E(x751,x752)+E(f34(x753,x754,x755,x751),f34(x753,x754,x755,x752)) % 0.40/0.69 [76]~E(x761,x762)+E(f32(x761,x763,x764,x765),f32(x762,x763,x764,x765)) % 0.40/0.69 [77]~E(x771,x772)+E(f32(x773,x771,x774,x775),f32(x773,x772,x774,x775)) % 0.40/0.69 [78]~E(x781,x782)+E(f32(x783,x784,x781,x785),f32(x783,x784,x782,x785)) % 0.40/0.69 [79]~E(x791,x792)+E(f32(x793,x794,x795,x791),f32(x793,x794,x795,x792)) % 0.40/0.69 [80]~E(x801,x802)+E(f33(x801,x803,x804,x805),f33(x802,x803,x804,x805)) % 0.40/0.69 [81]~E(x811,x812)+E(f33(x813,x811,x814,x815),f33(x813,x812,x814,x815)) % 0.40/0.69 [82]~E(x821,x822)+E(f33(x823,x824,x821,x825),f33(x823,x824,x822,x825)) % 0.40/0.69 [83]~E(x831,x832)+E(f33(x833,x834,x835,x831),f33(x833,x834,x835,x832)) % 0.40/0.69 [84]~E(x841,x842)+E(f36(x841,x843,x844,x845),f36(x842,x843,x844,x845)) % 0.40/0.69 [85]~E(x851,x852)+E(f36(x853,x851,x854,x855),f36(x853,x852,x854,x855)) % 0.40/0.69 [86]~E(x861,x862)+E(f36(x863,x864,x861,x865),f36(x863,x864,x862,x865)) % 0.40/0.69 [87]~E(x871,x872)+E(f36(x873,x874,x875,x871),f36(x873,x874,x875,x872)) % 0.40/0.69 [88]~P1(x881)+P1(x882)+~E(x881,x882) % 0.40/0.69 [89]~P2(x891)+P2(x892)+~E(x891,x892) % 0.40/0.69 [90]~P27(x901)+P27(x902)+~E(x901,x902) % 0.40/0.69 [91]~P3(x911)+P3(x912)+~E(x911,x912) % 0.40/0.69 [92]~P4(x921)+P4(x922)+~E(x921,x922) % 0.40/0.69 [93]~P5(x931)+P5(x932)+~E(x931,x932) % 0.40/0.69 [94]~P25(x941)+P25(x942)+~E(x941,x942) % 0.40/0.69 [95]~P35(x951)+P35(x952)+~E(x951,x952) % 0.40/0.69 [96]~P28(x961)+P28(x962)+~E(x961,x962) % 0.40/0.69 [97]~P30(x971)+P30(x972)+~E(x971,x972) % 0.40/0.69 [98]~P29(x981)+P29(x982)+~E(x981,x982) % 0.40/0.69 [99]~P20(x991)+P20(x992)+~E(x991,x992) % 0.40/0.69 [100]~P21(x1001)+P21(x1002)+~E(x1001,x1002) % 0.40/0.69 [101]~P38(x1011)+P38(x1012)+~E(x1011,x1012) % 0.40/0.69 [102]~P36(x1021)+P36(x1022)+~E(x1021,x1022) % 0.40/0.69 [103]~P6(x1031)+P6(x1032)+~E(x1031,x1032) % 0.40/0.69 [104]~P18(x1041)+P18(x1042)+~E(x1041,x1042) % 0.40/0.69 [105]~P19(x1051)+P19(x1052)+~E(x1051,x1052) % 0.40/0.69 [106]~P31(x1061)+P31(x1062)+~E(x1061,x1062) % 0.40/0.69 [107]~P32(x1071)+P32(x1072)+~E(x1071,x1072) % 0.40/0.69 [108]~P22(x1081)+P22(x1082)+~E(x1081,x1082) % 0.40/0.69 [109]~P26(x1091)+P26(x1092)+~E(x1091,x1092) % 0.40/0.69 [110]~P7(x1101)+P7(x1102)+~E(x1101,x1102) % 0.40/0.69 [111]~P39(x1111)+P39(x1112)+~E(x1111,x1112) % 0.40/0.69 [112]P9(x1122,x1123,x1124)+~E(x1121,x1122)+~P9(x1121,x1123,x1124) % 0.40/0.69 [113]P9(x1133,x1132,x1134)+~E(x1131,x1132)+~P9(x1133,x1131,x1134) % 0.40/0.69 [114]P9(x1143,x1144,x1142)+~E(x1141,x1142)+~P9(x1143,x1144,x1141) % 0.40/0.69 [115]P8(x1152,x1153,x1154)+~E(x1151,x1152)+~P8(x1151,x1153,x1154) % 0.40/0.69 [116]P8(x1163,x1162,x1164)+~E(x1161,x1162)+~P8(x1163,x1161,x1164) % 0.40/0.69 [117]P8(x1173,x1174,x1172)+~E(x1171,x1172)+~P8(x1173,x1174,x1171) % 0.40/0.69 [118]P13(x1182,x1183,x1184)+~E(x1181,x1182)+~P13(x1181,x1183,x1184) % 0.40/0.69 [119]P13(x1193,x1192,x1194)+~E(x1191,x1192)+~P13(x1193,x1191,x1194) % 0.40/0.69 [120]P13(x1203,x1204,x1202)+~E(x1201,x1202)+~P13(x1203,x1204,x1201) % 0.40/0.69 [121]P15(x1212,x1213,x1214)+~E(x1211,x1212)+~P15(x1211,x1213,x1214) % 0.40/0.69 [122]P15(x1223,x1222,x1224)+~E(x1221,x1222)+~P15(x1223,x1221,x1224) % 0.40/0.69 [123]P15(x1233,x1234,x1232)+~E(x1231,x1232)+~P15(x1233,x1234,x1231) % 0.40/0.69 [124]P11(x1242,x1243,x1244,x1245)+~E(x1241,x1242)+~P11(x1241,x1243,x1244,x1245) % 0.40/0.69 [125]P11(x1253,x1252,x1254,x1255)+~E(x1251,x1252)+~P11(x1253,x1251,x1254,x1255) % 0.40/0.69 [126]P11(x1263,x1264,x1262,x1265)+~E(x1261,x1262)+~P11(x1263,x1264,x1261,x1265) % 0.40/0.69 [127]P11(x1273,x1274,x1275,x1272)+~E(x1271,x1272)+~P11(x1273,x1274,x1275,x1271) % 0.40/0.69 [128]P10(x1282,x1283,x1284)+~E(x1281,x1282)+~P10(x1281,x1283,x1284) % 0.40/0.69 [129]P10(x1293,x1292,x1294)+~E(x1291,x1292)+~P10(x1293,x1291,x1294) % 0.40/0.69 [130]P10(x1303,x1304,x1302)+~E(x1301,x1302)+~P10(x1303,x1304,x1301) % 0.40/0.69 [131]P12(x1312,x1313)+~E(x1311,x1312)+~P12(x1311,x1313) % 0.40/0.69 [132]P12(x1323,x1322)+~E(x1321,x1322)+~P12(x1323,x1321) % 0.40/0.69 [133]P14(x1332,x1333,x1334)+~E(x1331,x1332)+~P14(x1331,x1333,x1334) % 0.40/0.69 [134]P14(x1343,x1342,x1344)+~E(x1341,x1342)+~P14(x1343,x1341,x1344) % 0.40/0.69 [135]P14(x1353,x1354,x1352)+~E(x1351,x1352)+~P14(x1353,x1354,x1351) % 0.40/0.69 [136]~P24(x1361)+P24(x1362)+~E(x1361,x1362) % 0.40/0.69 [137]~P37(x1371)+P37(x1372)+~E(x1371,x1372) % 0.40/0.69 [138]~P23(x1381)+P23(x1382)+~E(x1381,x1382) % 0.40/0.69 [139]~P16(x1391)+P16(x1392)+~E(x1391,x1392) % 0.40/0.69 [140]~P33(x1401)+P33(x1402)+~E(x1401,x1402) % 0.40/0.69 [141]~P17(x1411)+P17(x1412)+~E(x1411,x1412) % 0.40/0.69 [142]~P34(x1421)+P34(x1422)+~E(x1421,x1422) % 0.40/0.69 % 0.40/0.69 %------------------------------------------- % 0.40/0.69 cnf(678,plain, % 0.40/0.69 (E(f27(f7(x6781,x6782,x6783,x6784,x6785),x6786),f27(f7(x6781,x6782,x6787,x6784,x6788),x6786))), % 0.40/0.69 inference(equality_inference,[],[632])). % 0.40/0.69 cnf(681,plain, % 0.40/0.69 (~E(f24(f28(f16(x6811)),x6811),f16(x6811))), % 0.40/0.69 inference(scs_inference,[],[292,282,382,322])). % 0.40/0.69 cnf(682,plain, % 0.40/0.69 (~E(f28(x6821),x6821)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(686,plain, % 0.40/0.69 (~E(f20(x6861,f28(f16(x6862)),x6862),x6861)), % 0.40/0.69 inference(scs_inference,[],[292,282,682,382,322,352,357])). % 0.40/0.69 cnf(687,plain, % 0.40/0.69 (~E(f28(x6871),x6871)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(690,plain, % 0.40/0.69 (~E(f28(x6901),x6901)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(693,plain, % 0.40/0.69 (~E(f28(x6931),x6931)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(696,plain, % 0.40/0.69 (~E(f28(x6961),x6961)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(698,plain, % 0.40/0.69 (E(f20(f24(f16(x6981),x6981),f17(x6982,f16(x6981),x6981),x6981),f17(x6982,f16(x6981),x6981))), % 0.40/0.69 inference(scs_inference,[],[292,238,282,682,687,690,693,382,322,352,357,358,371,372,443])). % 0.40/0.69 cnf(702,plain, % 0.40/0.69 (~E(f28(x7021),x7021)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(704,plain, % 0.40/0.69 (~E(f24(f28(f20(f24(x7041,x7042),f17(x7043,f16(x7042),x7042),x7042)),x7042),f17(x7043,x7041,x7042))), % 0.40/0.69 inference(scs_inference,[],[292,238,282,682,687,690,693,696,702,382,322,352,357,358,371,372,443,444,502])). % 0.40/0.69 cnf(705,plain, % 0.40/0.69 (~E(f28(x7051),x7051)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(708,plain, % 0.40/0.69 (~E(f28(x7081),x7081)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(713,plain, % 0.40/0.69 (P8(x7131,f3(x7132),f27(x7131,x7132))), % 0.40/0.69 inference(rename_variables,[],[202])). % 0.40/0.69 cnf(716,plain, % 0.40/0.69 (~E(f28(x7161),x7161)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(719,plain, % 0.40/0.69 (~E(f28(x7191),x7191)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(722,plain, % 0.40/0.69 (~E(f28(x7221),x7221)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(732,plain, % 0.40/0.69 (~P9(f27(f27(f5(a2),x7321),x7322),x7322,a2)), % 0.40/0.69 inference(rename_variables,[],[306])). % 0.40/0.69 cnf(734,plain, % 0.40/0.69 (~P9(f28(x7341),x7341,a2)), % 0.40/0.69 inference(scs_inference,[],[202,143,292,269,265,238,296,282,682,687,690,693,696,702,705,708,716,719,306,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408])). % 0.40/0.69 cnf(735,plain, % 0.40/0.69 (~P9(x7351,x7351,a2)), % 0.40/0.69 inference(rename_variables,[],[296])). % 0.40/0.69 cnf(737,plain, % 0.40/0.69 (P9(x7371,f28(f28(x7371)),a2)), % 0.40/0.69 inference(scs_inference,[],[202,143,292,269,265,238,296,282,682,687,690,693,696,702,705,708,716,719,185,306,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410])). % 0.40/0.69 cnf(738,plain, % 0.40/0.69 (P9(x7381,f28(x7381),a2)), % 0.40/0.69 inference(rename_variables,[],[185])). % 0.40/0.69 cnf(741,plain, % 0.40/0.69 (P9(x7411,f28(f27(f27(f5(a2),x7411),x7412)),a2)), % 0.40/0.69 inference(rename_variables,[],[216])). % 0.40/0.69 cnf(744,plain, % 0.40/0.69 (~P9(f27(f27(f5(a2),x7441),x7442),x7442,a2)), % 0.40/0.69 inference(rename_variables,[],[306])). % 0.40/0.69 cnf(747,plain, % 0.40/0.69 (~P9(f27(f27(f5(a2),x7471),x7472),x7472,a2)), % 0.40/0.69 inference(rename_variables,[],[306])). % 0.40/0.69 cnf(750,plain, % 0.40/0.69 (P9(x7501,f28(f27(f27(f5(a2),x7502),x7501)),a2)), % 0.40/0.69 inference(rename_variables,[],[214])). % 0.40/0.69 cnf(756,plain, % 0.40/0.69 (P8(f31(a49,a1,a44,a41),f23(a12,f27(f27(a12,f3(a50)),a43),a48,a14,a14),a46)), % 0.40/0.69 inference(scs_inference,[],[202,143,292,242,269,265,238,245,296,282,682,687,690,693,696,702,705,708,716,719,185,306,732,744,214,216,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634])). % 0.40/0.69 cnf(762,plain, % 0.40/0.69 (~P39(f27(f27(a11,f3(x7621)),x7622))), % 0.40/0.69 inference(rename_variables,[],[305])). % 0.40/0.69 cnf(764,plain, % 0.40/0.69 (~P11(a11,f17(f3(x7641),x7642,x7643),f17(x7644,f16(x7643),x7643),x7643)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,292,242,269,265,275,238,267,245,308,296,282,682,687,690,693,696,702,705,708,716,719,185,306,732,744,214,216,305,762,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593])). % 0.40/0.69 cnf(765,plain, % 0.40/0.69 (~P11(x7651,x7652,f16(x7653),x7653)), % 0.40/0.69 inference(rename_variables,[],[308])). % 0.40/0.69 cnf(768,plain, % 0.40/0.69 (~P39(f27(f27(a11,f3(x7681)),x7682))), % 0.40/0.69 inference(rename_variables,[],[305])). % 0.40/0.69 cnf(774,plain, % 0.40/0.69 (~E(f28(x7741),x7741)), % 0.40/0.69 inference(rename_variables,[],[282])). % 0.40/0.69 cnf(779,plain, % 0.40/0.69 (P9(x7791,f27(f27(f5(a2),x7791),f28(x7792)),a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,282,682,687,690,693,696,702,705,708,716,719,722,185,289,306,732,744,214,216,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498])). % 0.40/0.69 cnf(782,plain, % 0.40/0.69 (~E(x7821,f28(x7821))), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,282,682,687,690,693,696,702,705,708,716,719,722,185,738,289,306,732,744,214,216,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112])). % 0.40/0.69 cnf(783,plain, % 0.40/0.69 (~P9(x7831,x7831,a2)), % 0.40/0.69 inference(rename_variables,[],[296])). % 0.40/0.69 cnf(784,plain, % 0.40/0.69 (~E(f28(f27(f27(f5(a2),x7841),x7842)),x7842)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,282,682,687,690,693,696,702,705,708,716,719,722,185,738,289,306,732,744,214,750,216,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113])). % 0.40/0.69 cnf(785,plain, % 0.40/0.69 (P9(x7851,f28(f27(f27(f5(a2),x7852),x7851)),a2)), % 0.40/0.69 inference(rename_variables,[],[214])). % 0.40/0.69 cnf(786,plain, % 0.40/0.69 (P11(a11,f17(f27(f27(a12,f10(x7861)),x7862),x7863,f27(f7(x7864,x7865,x7866,x7867,x7868),x7869)),f17(f27(f27(f27(a21,x7861),x7862),f4(a2)),x7863,f27(f7(x7864,x7865,x7866,x7867,x7868),x7869)),f27(f7(x7864,x7865,x78610,x7867,x78611),x7869))), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,282,682,687,690,693,696,702,705,708,716,719,722,185,738,289,306,732,744,214,750,216,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127])). % 0.40/0.69 cnf(787,plain, % 0.40/0.69 (P15(x7871,x7871,a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,282,682,687,690,693,696,702,705,708,716,719,722,185,738,145,289,306,732,744,214,750,216,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392])). % 0.40/0.69 cnf(792,plain, % 0.40/0.69 (P9(x7921,f28(x7921),a2)), % 0.40/0.69 inference(rename_variables,[],[185])). % 0.40/0.69 cnf(795,plain, % 0.40/0.69 (~P9(x7951,x7951,a2)), % 0.40/0.69 inference(rename_variables,[],[296])). % 0.40/0.69 cnf(803,plain, % 0.40/0.69 (~P9(x8031,f4(a2),a2)), % 0.40/0.69 inference(rename_variables,[],[300])). % 0.40/0.69 cnf(805,plain, % 0.40/0.69 (~P15(f28(x8051),f4(a2),a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,186,282,682,687,690,693,696,702,705,708,716,719,722,298,185,738,286,300,803,144,145,146,289,306,732,744,214,750,216,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392,448,457,462,472,130,428,430])). % 0.40/0.69 cnf(806,plain, % 0.40/0.69 (~P9(x8061,f4(a2),a2)), % 0.40/0.69 inference(rename_variables,[],[300])). % 0.40/0.69 cnf(808,plain, % 0.40/0.69 (P9(x8081,f28(f27(f27(f5(a2),x8082),f28(x8081))),a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,186,282,682,687,690,693,696,702,705,708,716,719,722,298,185,738,792,286,300,803,144,145,146,289,306,732,744,214,750,785,216,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392,448,457,462,472,130,428,430,474])). % 0.40/0.69 cnf(809,plain, % 0.40/0.69 (P9(x8091,f28(f27(f27(f5(a2),x8092),x8091)),a2)), % 0.40/0.69 inference(rename_variables,[],[214])). % 0.40/0.69 cnf(812,plain, % 0.40/0.69 (P9(x8121,f28(f27(f27(f5(a2),x8122),x8121)),a2)), % 0.40/0.69 inference(rename_variables,[],[214])). % 0.40/0.69 cnf(815,plain, % 0.40/0.69 (P9(x8151,f28(f27(f27(f5(a2),x8151),x8152)),a2)), % 0.40/0.69 inference(rename_variables,[],[216])). % 0.40/0.69 cnf(821,plain, % 0.40/0.69 (P9(x8211,f28(x8211),a2)), % 0.40/0.69 inference(rename_variables,[],[185])). % 0.40/0.69 cnf(824,plain, % 0.40/0.69 (P9(x8241,f28(x8241),a2)), % 0.40/0.69 inference(rename_variables,[],[185])). % 0.40/0.69 cnf(831,plain, % 0.40/0.69 (~P9(f27(f27(f5(a2),x8311),x8312),x8312,a2)), % 0.40/0.69 inference(rename_variables,[],[306])). % 0.40/0.69 cnf(834,plain, % 0.40/0.69 (P9(x8341,f28(x8341),a2)), % 0.40/0.69 inference(rename_variables,[],[185])). % 0.40/0.69 cnf(836,plain, % 0.40/0.69 (~P9(f27(f27(f5(a2),x8361),f27(f27(f5(a2),x8362),f27(f27(f5(a2),f4(a2)),x8363))),x8363,a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,795,186,282,682,687,690,693,696,702,705,708,716,719,722,298,185,738,792,821,824,286,300,803,806,144,145,146,148,149,150,154,289,306,732,744,747,307,214,750,785,809,812,216,741,815,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392,448,457,462,472,130,428,430,474,476,477,479,518,531,555,556,575,527])). % 0.40/0.69 cnf(838,plain, % 0.40/0.69 (~P15(f27(f27(f5(a2),x8381),f27(f27(f5(a2),f28(f4(a2))),x8382)),x8382,a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,795,186,282,682,687,690,693,696,702,705,708,716,719,722,298,185,738,792,821,824,834,286,300,803,806,144,145,146,148,149,150,154,289,306,732,744,747,831,307,214,750,785,809,812,216,741,815,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392,448,457,462,472,130,428,430,474,476,477,479,518,531,555,556,575,527,528])). % 0.40/0.69 cnf(840,plain, % 0.40/0.69 (P9(x8401,f28(x8401),a2)), % 0.40/0.69 inference(rename_variables,[],[185])). % 0.40/0.69 cnf(842,plain, % 0.40/0.69 (~P15(f28(f27(f27(f5(a2),x8421),f27(f27(f5(a2),f4(a2)),x8422))),x8422,a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,795,186,282,682,687,690,693,696,702,705,708,716,719,722,298,185,738,792,821,824,834,286,300,803,806,144,145,146,148,149,150,154,289,306,732,744,747,831,307,214,750,785,809,812,216,741,815,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392,448,457,462,472,130,428,430,474,476,477,479,518,531,555,556,575,527,528,529])). % 0.40/0.69 cnf(844,plain, % 0.40/0.69 (~P15(f27(f27(f5(a2),f27(f27(f5(a2),x8441),f4(a2))),f28(f8(a2))),x8441,a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,795,186,282,682,687,690,693,696,702,705,708,716,719,722,298,185,738,792,821,824,834,286,300,803,806,144,145,146,148,149,150,154,289,306,732,744,747,831,307,214,750,785,809,812,216,741,815,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392,448,457,462,472,130,428,430,474,476,477,479,518,531,555,556,575,527,528,529,530])). % 0.40/0.69 cnf(854,plain, % 0.40/0.69 (~P9(f27(f27(f5(a2),f28(f4(a2))),f28(x8541)),x8541,a2)), % 0.40/0.69 inference(scs_inference,[],[678,202,713,143,266,175,292,242,269,265,275,238,221,267,280,245,308,765,296,735,783,795,186,282,682,687,690,693,696,702,705,708,716,719,722,774,298,185,738,792,821,824,834,840,286,300,803,806,144,145,146,148,149,150,152,154,157,162,163,289,306,732,744,747,831,307,214,750,785,809,812,216,741,815,305,762,768,382,322,352,357,358,371,372,443,444,502,545,586,592,604,605,606,627,628,629,2,388,408,410,431,468,470,497,509,577,634,115,117,587,593,599,603,3,111,134,498,112,113,127,392,448,457,462,472,130,428,430,474,476,477,479,518,531,555,556,575,527,528,529,530,570,406,327,422])). % 0.40/0.69 cnf(866,plain, % 0.40/0.69 (~E(f24(f28(f16(x8661)),x8661),f16(x8661))), % 0.40/0.69 inference(rename_variables,[],[681])). % 0.40/0.69 cnf(882,plain, % 0.40/0.69 (~P9(f28(x8821),x8821,a2)), % 0.40/0.69 inference(rename_variables,[],[734])). % 0.40/0.69 cnf(892,plain, % 0.40/0.69 (~E(f24(f28(f16(x8921)),x8921),f16(x8921))), % 0.40/0.69 inference(rename_variables,[],[681])). % 0.40/0.69 cnf(895,plain, % 0.40/0.69 (~P9(f28(x8951),x8951,a2)), % 0.40/0.69 inference(rename_variables,[],[734])). % 0.40/0.69 cnf(904,plain, % 0.40/0.69 (~E(f24(f28(f16(x9041)),x9041),f16(x9041))), % 0.40/0.69 inference(rename_variables,[],[681])). % 0.40/0.69 cnf(925,plain, % 0.40/0.69 (P9(x9251,f27(f27(f5(a2),x9251),f28(x9252)),a2)), % 0.40/0.69 inference(rename_variables,[],[779])). % 0.40/0.69 cnf(948,plain, % 0.40/0.69 (P11(a11,f17(f27(f27(a12,f10(x9481)),x9482),x9483,f27(f7(x9484,x9485,x9486,x9487,x9488),x9489)),f17(f27(f27(f27(a21,x9481),x9482),f4(a2)),x9483,f27(f7(x9484,x9485,x9486,x9487,x9488),x9489)),f27(f7(x9484,x9485,x94810,x9487,x94811),x9489))), % 0.40/0.69 inference(rename_variables,[],[786])). % 0.40/0.69 cnf(961,plain, % 0.40/0.69 ($false), % 0.40/0.69 inference(scs_inference,[],[312,756,704,681,866,892,904,698,686,764,805,278,280,782,784,786,948,779,925,787,734,882,895,737,854,808,842,838,836,844,308,296,154,144,145,148,26,442,605,410,352,357,388,502,408,628,509,627,606,470,371,592,358,604,545,431,322,372,444,382,468,497,2,121,394,414,415,471,523,525,564,125,126,565,519,521,546,634]), % 0.40/0.69 ['proof']). % 0.40/0.69 % SZS output end Proof % 0.40/0.69 % Total time :0.220040s %------------------------------------------------------------------------------