%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SCT042-1 : TPTP v8.2.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Jun 24 14:11:36 EDT 2024 % Result : Unsatisfiable 2.32s 2.41s % Output : CNFRefutation 2.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SCT042-1 : TPTP v8.2.0. Released v4.1.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sat Jun 22 07:24:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.51/0.56 start to proof:theBenchmark % 2.32/2.37 %------------------------------------------- % 2.32/2.37 % File :CSE---1.7 % 2.32/2.37 % Problem :theBenchmark % 2.32/2.37 % Transform :cnf % 2.32/2.37 % Format :tptp:raw % 2.32/2.37 % Command :java -jar mcs_scs.jar %d %s % 2.32/2.37 % 2.32/2.37 % Result :Theorem 1.570000s % 2.32/2.37 % Output :CNFRefutation 1.570000s % 2.32/2.37 %------------------------------------------- % 2.32/2.37 %------------------------------------------------------------------------------ % 2.32/2.37 % File : SCT042-1 : TPTP v8.2.0. Released v4.1.0. % 2.32/2.37 % Domain : Social Choice Theory % 2.32/2.37 % Problem : Arrow Order 197_7 % 2.32/2.37 % Version : Especial. % 2.32/2.37 % English : Formalization of two proofs of Arrow's impossibility theorem. One % 2.32/2.37 % formalization is based on utility functions, the other one on % 2.32/2.37 % strict partial orders. % 2.32/2.37 % 2.32/2.37 % Refs : [Nip09] Nipkow (2009), Social Choice Theory in HOL: Arrow and % 2.32/2.37 % : [Nip10] Nipkow (2010), Email to Geoff Sutcliffe % 2.32/2.37 % : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 2.32/2.37 % Source : [Nip10] % 2.32/2.37 % Names : Arrow_Order-197_71 [Nip10] % 2.32/2.37 % 2.32/2.37 % Status : Unsatisfiable % 2.32/2.37 % Rating : 0.25 v8.2.0, 0.29 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.29 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.27 v6.3.0, 0.18 v6.2.0, 0.30 v6.1.0, 0.21 v6.0.0, 0.30 v5.5.0, 0.50 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.53 v5.0.0, 0.43 v4.1.0 % 2.32/2.37 % Syntax : Number of clauses : 666 ( 252 unt; 91 nHn; 335 RR) % 2.32/2.37 % Number of literals : 1386 ( 554 equ; 662 neg) % 2.32/2.37 % Maximal clause size : 6 ( 2 avg) % 2.32/2.37 % Maximal term depth : 7 ( 1 avg) % 2.32/2.37 % Number of predicates : 41 ( 40 usr; 1 prp; 0-3 aty) % 2.32/2.37 % Number of functors : 48 ( 48 usr; 8 con; 0-5 aty) % 2.32/2.37 % Number of variables : 1719 ( 168 sgn) % 2.32/2.37 % SPC : CNF_UNS_RFO_SEQ_NHN % 2.32/2.37 % 2.32/2.37 % Comments : % 2.32/2.37 %------------------------------------------------------------------------------ % 2.32/2.37 cnf(cls_power__strict__decreasing_0,axiom, % 2.32/2.37 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.37 | 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) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_less__iff__Suc__add_1,axiom, % 2.32/2.37 c_HOL_Oord__class_Oless(V_m,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_x,tc_nat)),tc_nat) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_less__add__Suc2_0,axiom, % 2.32/2.37 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_i,tc_nat)),tc_nat) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_less__add__Suc1_0,axiom, % 2.32/2.37 c_HOL_Oord__class_Oless(V_i,c_Suc(c_HOL_Oplus__class_Oplus(V_i,V_m,tc_nat)),tc_nat) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_min__less__iff__conj_2,axiom, % 2.32/2.37 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.37 | c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_z,V_x,T_a) ) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_less__Suc0_0,axiom, % 2.32/2.37 ( V_n = c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_diff__less__Suc_0,axiom, % 2.32/2.37 c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_Suc(V_m),tc_nat) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_order__less__trans_0,axiom, % 2.32/2.37 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.37 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_xt1_I10_J_0,axiom, % 2.32/2.37 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.37 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.32/2.37 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.32/2.37 % 2.32/2.37 cnf(cls_add__gr__0_0,axiom, % 2.32/2.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_gr__implies__not0_0,axiom, % 2.32/2.38 ~ c_HOL_Oord__class_Oless(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_not__less0_0,axiom, % 2.32/2.38 ~ c_HOL_Oord__class_Oless(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_mod__less__divisor_0,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat),V_n,tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_not__leE_0,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.38 | c_lessequals(V_y,V_x,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_linorder__antisym__conv2_1,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | ~ c_lessequals(V_x,V_x,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_linorder__antisym__conv1_1,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_x,V_x,T_a) % 2.32/2.38 | c_lessequals(V_x,V_x,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_linorder__not__less_1,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.38 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_linorder__not__less_0,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_lessequals(V_y,V_x,T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_linorder__not__le_1,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | ~ c_lessequals(V_x,V_y,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_linorder__not__le_0,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.32/2.38 | c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_less__le__not__le_1,axiom, % 2.32/2.38 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.38 | ~ c_lessequals(V_y,V_x,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_zero__less__Suc_0,axiom, % 2.32/2.38 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_n),tc_nat) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_gr0__conv__Suc_1,axiom, % 2.32/2.38 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(V_x),tc_nat) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_one__less__power_0,axiom, % 2.32/2.38 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.38 | 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) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__neg__neg_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_power__strict__mono_0,axiom, % 2.32/2.38 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.38 | 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) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 2.32/2.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_min__max_Oless__infI1_0,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_a,V_x,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_min__max_Oless__infI2_0,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_b,V_x,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_min__less__iff__conj_0,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_min__less__iff__conj_1,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_z,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_min__less__iff__disj_1,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_x,V_z,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_min__less__iff__disj_2,axiom, % 2.32/2.38 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_Suc__lessI_0,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) % 2.32/2.38 | c_Suc(V_m) = V_n % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_not__less__less__Suc__eq_1,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_not__less__eq_1,axiom, % 2.32/2.38 ( ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_not__less__eq_0,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__le__less__mono_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 2.32/2.38 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__less__le__mono_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 2.32/2.38 | ~ c_lessequals(V_c,V_d,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_less__Suc__eq__0__disj_3,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_Suc(V_x),c_Suc(V_n),tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_x,V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_Suc__less__eq_0,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_Suc__mono_0,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_Suc(V_m),c_Suc(V_n),tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__gr__0_2,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__gr__0_1,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_zero__less__double__add__iff__zero__less__single__add_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_zero__less__double__add__iff__zero__less__single__add_1,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__neg__nonpos_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.38 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__nonpos__neg_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.38 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__strict__increasing_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.38 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 2.32/2.38 | ~ c_lessequals(V_b,V_c,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__strict__increasing2_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.38 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 2.32/2.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__nonneg__pos_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_add__pos__nonneg_0,axiom, % 2.32/2.38 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 2.32/2.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_zero__less__two_0,axiom, % 2.32/2.38 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_power__less__imp__less__base_0,axiom, % 2.32/2.38 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.38 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.32/2.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.38 | ~ 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) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_power__gt1_0,axiom, % 2.32/2.38 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.38 | 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) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_diff__Suc__less_0,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_n,c_Suc(V_i),tc_nat),V_n,tc_nat) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_Suc__pred_0,axiom, % 2.32/2.38 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = V_n % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_length__greater__0__conv_1,axiom, % 2.32/2.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) % 2.32/2.38 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_length__greater__0__conv_0,axiom, % 2.32/2.38 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)),tc_nat) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_list__update__append1_0,axiom, % 2.32/2.38 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_i,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_ys,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_list__update__append_0,axiom, % 2.32/2.38 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(c_List_Olist__update(V_xs,V_n,V_x,T_a),V_ys,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_take__butlast_0,axiom, % 2.32/2.38 ( c_List_Otake(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Otake(V_n,V_xs,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.38 % 2.32/2.38 cnf(cls_last__drop_0,axiom, % 2.32/2.38 ( c_List_Olast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a) % 2.32/2.38 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_termination__basic__simps_I1_J_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_termination__basic__simps_I2_J_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_z,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__lessD1_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_i,V_k,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_k,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_trans__less__add1_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_j,V_m,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_trans__less__add2_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Oplus__class_Oplus(V_m,V_j,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__add__eq__less_0,axiom, % 2.32/2.39 ( c_HOL_Oplus__class_Oplus(V_m,V_l,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_diff__less__mono2_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_l,V_n,tc_nat),c_HOL_Ominus__class_Ominus(V_l,V_m,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_m,V_l,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__Suc0_1,axiom, % 2.32/2.39 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_double__add__less__zero__iff__single__less__zero_1,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_double__add__less__zero__iff__single__less__zero_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_even__less__0__iff_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_even__less__0__iff_1,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_zero__less__power_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | 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) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_min__less__iff__disj_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__SucE_0,axiom, % 2.32/2.39 ( V_m = V_n % 2.32/2.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__antisym_0,axiom, % 2.32/2.39 ( V_m = V_n % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_not__less__less__Suc__eq_0,axiom, % 2.32/2.39 ( V_n = V_m % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_n,c_Suc(V_m),tc_nat) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__imp__diff__less_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_j,V_n,tc_nat),V_k,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_mod__if_0,axiom, % 2.32/2.39 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = V_m % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__le__not__le_2,axiom, % 2.32/2.39 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.39 | c_lessequals(V_y,V_x,T_a) % 2.32/2.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_nat__less__le_1,axiom, % 2.32/2.39 ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__not__refl_0,axiom, % 2.32/2.39 ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__less__le_1,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_linorder__neq__iff_1,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__less__irrefl_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_x,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__pos__pos_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_linorder__neqE__ordered__idom_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__idom(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.39 | V_x = V_y ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_not__less__iff__gr__or__eq_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | V_x = V_y % 2.32/2.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_nat__neq__iff_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_n,V_m,tc_nat) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.39 | V_m = V_n ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_linorder__neqE__nat_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_y,V_x,tc_nat) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 2.32/2.39 | V_x = V_y ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_linorder__neqE_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.39 | V_x = V_y ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_linorder__less__linear_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.32/2.39 | V_x = V_y % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_linorder__antisym__conv3_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | V_x = V_y % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__strict__mono_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_c,V_d,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__less__mono_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_l,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_k,V_l,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__le__less_1,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | c_lessequals(V_x,V_y,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__less__imp__le_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.39 | c_lessequals(V_x,V_y,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__iff__diff__less__0_1,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__iff__diff__less__0_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_lessI_0,axiom, % 2.32/2.39 c_HOL_Oord__class_Oless(V_n,c_Suc(V_n),tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__Suc__eq_2,axiom, % 2.32/2.39 c_HOL_Oord__class_Oless(V_x,c_Suc(V_x),tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__trans__Suc_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_Suc(V_i),V_k,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_j,V_k,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__add__one_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_a,c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_power__inject__exp_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | c_Power_Opower__class_Opower(V_a,V_m,T_a) != c_Power_Opower__class_Opower(V_a,V_n,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 2.32/2.39 | V_m = V_n ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_le__number__of__eq__not__less_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | ~ class_Int_Onumber(T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) % 2.32/2.39 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_le__number__of__eq__not__less_1,axiom, % 2.32/2.39 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.39 | ~ class_Int_Onumber(T_a) % 2.32/2.39 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_v,T_a),c_Int_Onumber__class_Onumber__of(V_w,T_a),T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(V_w,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_gr0I_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 2.32/2.39 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_neq0__conv_1,axiom, % 2.32/2.39 ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_pos__add__strict_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_b,V_c,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_power__strict__increasing__iff_1,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | 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) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_power__strict__increasing__iff_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,tc_nat) % 2.32/2.39 | ~ 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) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_power__strict__increasing_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | 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) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_n,V_N,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_power__less__imp__less__exp_0,axiom, % 2.32/2.39 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.39 | ~ 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) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_not__add__less1_0,axiom, % 2.32/2.39 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_j,tc_nat),V_i,tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_not__add__less2_0,axiom, % 2.32/2.39 ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_j,V_i,tc_nat),V_i,tc_nat) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_mod__if_1,axiom, % 2.32/2.39 ( c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_n,tc_nat) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__diff__conv_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__diff__conv_1,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_i,c_HOL_Ominus__class_Ominus(V_j,V_k,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),V_j,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__strict__right__mono_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__less__cancel__right_1,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__less__cancel__right_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__strict__left__mono_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__less__cancel__left_1,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__less__cancel__left_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__less__mono1_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_i,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_i,V_j,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_nat__add__left__cancel__less_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_nat__add__left__cancel__less_1,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_xt1_I7_J_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.32/2.39 | ~ c_lessequals(V_z,V_y,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_xt1_I8_J_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_z,V_x,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_z,V_y,T_a) % 2.32/2.39 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__le__less__trans_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_y,V_z,T_a) % 2.32/2.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__less__le__trans_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_z,T_a) % 2.32/2.39 | ~ c_lessequals(V_y,V_z,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_zero__less__diff_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_zero__less__diff_1,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_Suc__lessD_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_Suc(V_m),V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__SucI_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(V_m,c_Suc(V_n),tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_diff__less_0,axiom, % 2.32/2.39 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_m,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_m,tc_nat) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__eqI_0,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.39 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_less__eqI_1,axiom, % 2.32/2.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.39 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.39 | ~ c_HOL_Oord__class_Oless(V_x_H,V_y_H,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_add__diff__inverse_0,axiom, % 2.32/2.39 ( c_HOL_Oplus__class_Oplus(V_n,c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),tc_nat) = V_m % 2.32/2.39 | c_HOL_Oord__class_Oless(V_m,V_n,tc_nat) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_xt1_I11_J_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.32/2.39 | V_a = V_b % 2.32/2.39 | ~ c_lessequals(V_b,V_a,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_xt1_I12_J_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.32/2.39 | ~ c_lessequals(V_b,V_a,T_a) % 2.32/2.39 | V_a = V_b ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__le__less_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | V_x = V_y % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__less__le_2,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.39 | V_x = V_y % 2.32/2.39 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.39 % 2.32/2.39 cnf(cls_order__le__neq__trans_0,axiom, % 2.32/2.39 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.39 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.32/2.39 | V_a = V_b % 2.32/2.39 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.39 % 2.32/2.40 cnf(cls_order__neq__le__trans_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.40 | c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_b,T_a) % 2.32/2.40 | V_a = V_b ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_linorder__antisym__conv1_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | V_x = V_y % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) % 2.32/2.40 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_linorder__antisym__conv2_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | V_x = V_y % 2.32/2.40 | c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_xt1_I9_J_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_not__less__iff__gr__or__eq_1,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__less__asym_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_y,V_x,T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__less__asym_H_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_b,V_a,T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_not__one__less__zero_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_zero__less__one_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__eq__imp__eq__base_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_Power_Opower__class_Opower(V_b,V_n,T_a) % 2.32/2.40 | V_a = V_b % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__Suc__less__one_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | 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) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_a,c_HOL_Oone__class_Oone(T_a),T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__diff__1_0,axiom, % 2.32/2.40 ( c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = V_n % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__pred_H_0,axiom, % 2.32/2.40 ( V_n = c_Suc(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_list__update__append_1,axiom, % 2.32/2.40 ( c_List_Olist__update(c_List_Oappend(V_xs,V_ys,T_a),V_n,V_x,T_a) = c_List_Oappend(V_xs,c_List_Olist__update(V_ys,c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_x,T_a),T_a) % 2.32/2.40 | c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_expand__Suc_0,axiom, % 2.32/2.40 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(V_v,tc_nat),tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_rev__update_0,axiom, % 2.32/2.40 ( c_List_Orev(c_List_Olist__update(V_xs,V_k,V_y,T_a),T_a) = c_List_Olist__update(c_List_Orev(V_xs,T_a),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_k,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_y,T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_k,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__0L_0,axiom, % 2.32/2.40 c_Orderings_Oord__class_Omin(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__infE_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_x,V_a,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__infE_1,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_x,V_b,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__infI1_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__infI2_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(c_Orderings_Oord__class_Omin(V_a,V_b,T_a),V_x,T_a) % 2.32/2.40 | ~ c_lessequals(V_b,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__le__iff__disj_1,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_z,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__le__iff__disj_2,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) % 2.32/2.40 | ~ c_lessequals(V_y,V_z,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__inf__iff_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_x,V_y,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__inf__iff_1,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_x,V_z,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_minus__nat_Odiff__0_0,axiom, % 2.32/2.40 c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 2.32/2.40 % 2.32/2.40 cnf(cls_diff__self__eq__0_0,axiom, % 2.32/2.40 c_HOL_Ominus__class_Ominus(V_m,V_m,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__ringb_Osubr0__iff_1,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.32/2.40 | ~ class_Int_Onumber__ring(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_diff__self_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_diff__0__right_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_right__minus__eq_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_eq__iff__diff__eq__0_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_natgb_Oadd__r0__iff_0,axiom, % 2.32/2.40 ( V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,tc_nat) % 2.32/2.40 | V_a = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__eq__self__zero_0,axiom, % 2.32/2.40 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != V_m % 2.32/2.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__ringb_Oadd__r0__iff_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.32/2.40 | ~ class_Int_Onumber__ring(T_a) % 2.32/2.40 | V_x != c_HOL_Oplus__class_Oplus(V_x,V_a,T_a) % 2.32/2.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_rotate__conv__mod_0,axiom, % 2.32/2.40 c_List_Orotate(V_n,V_xs,T_a) = c_List_Orotate(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Oadd__c_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) = c_HOL_Oplus__class_Oplus(V_y,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_nat__add__commute_0,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_comm__monoid__add_Omult__commute_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) = c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) = c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__self_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(V_a,V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__by__0_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_diff__Suc__1_0,axiom, % 2.32/2.40 c_HOL_Ominus__class_Ominus(c_Suc(V_n),c_HOL_Oone__class_Oone(tc_nat),tc_nat) = V_n ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__increasing2_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.40 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.40 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_b,V_a,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__increasing_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.40 | ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.40 | c_lessequals(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_b,V_c,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__remdups__eq_1,axiom, % 2.32/2.40 ( c_List_Oremdups(V_xs,T_a) != V_xs % 2.32/2.40 | c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__remdups__eq_0,axiom, % 2.32/2.40 ( c_Nat_Osize__class_Osize(c_List_Oremdups(V_xs,T_a),tc_List_Olist(T_a)) != c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) % 2.32/2.40 | c_List_Oremdups(V_xs,T_a) = V_xs ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Zero__neq__Suc_0,axiom, % 2.32/2.40 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_m) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_nat_Osimps_I2_J_0,axiom, % 2.32/2.40 c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__Suc_0,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__Suc__right_0,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__0__Suc_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 2.32/2.40 | ~ class_Power_Opower(T_a) % 2.32/2.40 | 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) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_one__le__power_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oone__class_Oone(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Oinf__le1_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Oinf__le2_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__infI_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_a,V_b,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_b,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__inf__iff_2,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_z,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Oinf__greatest_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_z,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_take__hd__drop_0,axiom, % 2.32/2.40 ( c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(c_List_Odrop(V_n,V_xs,T_a),T_a),c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Otake(c_Suc(V_n),V_xs,T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_upd__conv__take__nth__drop_0,axiom, % 2.32/2.40 ( c_List_Olist__update(V_xs,V_i,V_a,T_a) = c_List_Oappend(c_List_Otake(V_i,V_xs,T_a),c_List_Olist_OCons(V_a,c_List_Odrop(c_Suc(V_i),V_xs,T_a),T_a),T_a) % 2.32/2.40 | ~ c_HOL_Oord__class_Oless(V_i,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__0R_0,axiom, % 2.32/2.40 c_Orderings_Oord__class_Omin(V_n,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__nonneg__eq__0__iff_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 2.32/2.40 | V_y = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__nonneg__eq__0__iff_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) % 2.32/2.40 | V_x = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__is__0_0,axiom, % 2.32/2.40 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.40 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__is__0_1,axiom, % 2.32/2.40 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_double__eq__0__iff_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_a,V_a,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__inject_0,axiom, % 2.32/2.40 ( c_Suc(V_x) != c_Suc(V_y) % 2.32/2.40 | V_x = V_y ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_nat_Oinject_0,axiom, % 2.32/2.40 ( c_Suc(V_nat) != c_Suc(V_nat_H) % 2.32/2.40 | V_nat = V_nat_H ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Osemiring__rules_I33_J_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_x,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_x ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__one__right_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_a,c_HOL_Oone__class_Oone(tc_nat),T_a) = V_a ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__le__iff__disj_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_y,V_z,T_a) % 2.32/2.40 | c_lessequals(V_x,V_z,T_a) % 2.32/2.40 | ~ c_lessequals(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__add__cong_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_one__is__add_1,axiom, % 2.32/2.40 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 2.32/2.40 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.40 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_one__is__add_2,axiom, % 2.32/2.40 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 2.32/2.40 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_diff__Suc__Suc_0,axiom, % 2.32/2.40 c_HOL_Ominus__class_Ominus(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__1_0,axiom, % 2.32/2.40 c_Divides_Odiv__class_Omod(V_m,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__eq__if_1,axiom, % 2.32/2.40 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) = c_Suc(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat)) % 2.32/2.40 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__take_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Otake(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Orderings_Oord__class_Omin(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__rotate_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Orotate(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_one__is__add_4,axiom, % 2.32/2.40 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__rotate1_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Orotate1(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Oinf__idem_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_Orderings_Oord__class_Omin(V_x,V_x,T_a) = V_x ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__append_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Oappend(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__drop_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Odrop(V_n,V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_n,tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_diffs0__imp__equal_0,axiom, % 2.32/2.40 ( c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.40 | V_m = V_n ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__eq__iff_2,axiom, % 2.32/2.40 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.40 | V_x = V_y % 2.32/2.40 | ~ c_lessequals(V_y,V_x,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__antisym_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.40 | V_x = V_y % 2.32/2.40 | ~ c_lessequals(V_y,V_x,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__antisym__conv_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.40 | V_x = V_y % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) % 2.32/2.40 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__diff__cong_0,axiom, % 2.32/2.40 ( ~ class_Divides_Oring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(V_b,V_c,T_a) != c_Divides_Odiv__class_Omod(V_b_H,V_c,T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(V_a,V_c,T_a) != c_Divides_Odiv__class_Omod(V_a_H,V_c,T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a_H,V_b_H,T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_le__iff__diff__le__0_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.40 | c_lessequals(V_a,V_b,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_le__iff__diff__le__0_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__splice_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Osplice(V_xs,V_ys,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Nat_Osize__class_Osize(V_ys,tc_List_Olist(T_a)),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_nat_Osimps_I3_J_0,axiom, % 2.32/2.40 c_Suc(V_nat_H) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__neq__Zero_0,axiom, % 2.32/2.40 c_Suc(V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__le__cancel__right_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__le__cancel__right_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.40 | c_lessequals(V_a,V_b,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__le__cancel__left_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__le__cancel__left_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.40 | c_lessequals(V_a,V_b,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__right__mono_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__left__mono_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oplus__class_Oplus(V_c,V_a,T_a),c_HOL_Oplus__class_Oplus(V_c,V_b,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_drop__drop_0,axiom, % 2.32/2.40 c_List_Odrop(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__le__imp__le__base_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | c_lessequals(V_a,V_b,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.40 | ~ 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) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_field__power__not__zero_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__eq__0__iff_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 2.32/2.40 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 2.32/2.40 | ~ class_Ring__and__Field_Omult__zero(T_a) % 2.32/2.40 | ~ class_Power_Opower(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_a,V_n,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.40 | V_a = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_take__append_0,axiom, % 2.32/2.40 c_List_Otake(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__butlast_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Obutlast(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__add__self2_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__add__self1_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_b,V_a,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__replicate_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Oreplicate(V_n,V_x,T_a),tc_List_Olist(T_a)) = V_n ). % 2.32/2.40 % 2.32/2.40 cnf(cls_double__add__le__zero__iff__single__add__le__zero_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_double__add__le__zero__iff__single__add__le__zero_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.40 | c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__n__not__n_0,axiom, % 2.32/2.40 c_Suc(V_n) != V_n ). % 2.32/2.40 % 2.32/2.40 cnf(cls_n__not__Suc__n_0,axiom, % 2.32/2.40 V_n != c_Suc(V_n) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__Suc__eq__Suc__mod_0,axiom, % 2.32/2.40 c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Divides_Odiv__class_Omod(c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)),V_n,tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_xt1_I6_J_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.40 | c_lessequals(V_z,V_x,T_a) % 2.32/2.40 | ~ c_lessequals(V_z,V_y,T_a) % 2.32/2.40 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__nonpos__nonpos_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__trans_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.40 | c_lessequals(V_x,V_z,T_a) % 2.32/2.40 | ~ c_lessequals(V_y,V_z,T_a) % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__eq__iff_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Oorder(T_a) % 2.32/2.40 | c_lessequals(V_x,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_order__eq__refl_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Opreorder(T_a) % 2.32/2.40 | c_lessequals(V_x,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_le__add__right__mono_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.40 | c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_c,V_d,T_a) % 2.32/2.40 | ~ c_lessequals(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__diff_0,axiom, % 2.32/2.40 c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_m,V_i,tc_nat),c_HOL_Ominus__class_Ominus(V_n,V_i,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat),V_i,tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__is__1_5,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__number__of_1,axiom, % 2.32/2.40 ( ~ class_Int_Onumber(T_a) % 2.32/2.40 | ~ class_HOL_Oord(T_a) % 2.32/2.40 | c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_v,T_a) % 2.32/2.40 | c_lessequals(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__tl_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a)) = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Nitpick_Olist__size__simp_I2_J_1,axiom, % 2.32/2.40 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(c_List_Otl(V_xs,T_a),tc_List_Olist(T_a))) % 2.32/2.40 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__rev_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Orev(V_xs,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_le__eqI_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.32/2.40 | c_lessequals(V_y_H,V_x_H,T_a) % 2.32/2.40 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_le__eqI_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.32/2.40 | c_lessequals(V_y,V_x,T_a) % 2.32/2.40 | ~ c_lessequals(V_y_H,V_x_H,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_zmod__simps_I1_J_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_zmod__simps_I2_J_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__is__1_1,axiom, % 2.32/2.40 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.40 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.40 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__is__1_2,axiom, % 2.32/2.40 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.40 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_linorder__linear_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_lessequals(V_y,V_x,T_a) % 2.32/2.40 | c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_rev__drop_0,axiom, % 2.32/2.40 c_List_Orev(c_List_Odrop(V_i,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_rev__take_0,axiom, % 2.32/2.40 c_List_Orev(c_List_Otake(V_i,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_i,tc_nat),c_List_Orev(V_xs,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_butlast__conv__take_0,axiom, % 2.32/2.40 c_List_Obutlast(V_xs,T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_butlast__list__update_0,axiom, % 2.32/2.40 c_List_Obutlast(c_List_Olist__update(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a),T_a) = c_List_Obutlast(V_xs,T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_butlast__list__update_1,axiom, % 2.32/2.40 ( c_List_Obutlast(c_List_Olist__update(V_xs,V_k,V_x,T_a),T_a) = c_List_Olist__update(c_List_Obutlast(V_xs,T_a),V_k,V_x,T_a) % 2.32/2.40 | V_k = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__eq__0__iff_1,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 2.32/2.40 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 2.32/2.40 | ~ class_Ring__and__Field_Omult__zero(T_a) % 2.32/2.40 | ~ class_Power_Opower(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__0__left_1,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 2.32/2.40 | ~ class_Power_Opower(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__eq__0__iff_2,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 2.32/2.40 | ~ class_Ring__and__Field_Ono__zero__divisors(T_a) % 2.32/2.40 | ~ class_Ring__and__Field_Omult__zero(T_a) % 2.32/2.40 | ~ class_Power_Opower(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a) = c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_zero__le__one_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oone__class_Oone(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__by__1_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(V_a,c_HOL_Oone__class_Oone(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_not__one__le__zero_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__0_0,axiom, % 2.32/2.40 ( ~ class_Power_Opower(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Opwr__0_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__0__conv_1,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Olist_ONil(T_a),tc_List_Olist(T_a)) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__0__conv_0,axiom, % 2.32/2.40 ( c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.40 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_hd__append_1,axiom, % 2.32/2.40 ( c_List_Ohd(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Ohd(V_xs,T_a) % 2.32/2.40 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_hd__append_0,axiom, % 2.32/2.40 c_List_Ohd(c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a),T_a) = c_List_Ohd(V_ys,T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_One__nat__def_0,axiom, % 2.32/2.40 c_HOL_Oone__class_Oone(tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_take__Cons__number__of_1,axiom, % 2.32/2.40 ( c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a) % 2.32/2.40 | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_drop__Cons__number__of_1,axiom, % 2.32/2.40 ( c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a) % 2.32/2.40 | c_Int_Onumber__class_Onumber__of(V_v,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_take__Suc__Cons_0,axiom, % 2.32/2.40 c_List_Otake(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(V_n,V_xs,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_drop__Suc__Cons_0,axiom, % 2.32/2.40 c_List_Odrop(c_Suc(V_n),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(V_n,V_xs,T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_append__eq__conv__conj_0,axiom, % 2.32/2.40 V_xs = c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_append__eq__conv__conj_1,axiom, % 2.32/2.40 V_ys = c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_List_Oappend(V_xs,V_ys,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_hd__replicate_0,axiom, % 2.32/2.40 ( c_List_Ohd(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x % 2.32/2.40 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_list__update__code_I3_J_0,axiom, % 2.32/2.40 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_Suc(V_i),V_y,T_a) = c_List_Olist_OCons(V_x,c_List_Olist__update(V_xs,V_i,V_y,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_replicate__Suc_0,axiom, % 2.32/2.40 c_List_Oreplicate(c_Suc(V_n),V_x,T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_n,V_x,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_zero__le__power_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__diff__distrib__left_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(T_a) % 2.32/2.40 | c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(V_x,V_z,T_a),c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_drop__append_0,axiom, % 2.32/2.40 c_List_Odrop(V_n,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Odrop(V_n,V_xs,T_a),c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_ys,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_list_Osize_I4_J_0,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_a,V_list,T_a),tc_List_Olist(T_a)) = c_HOL_Oplus__class_Oplus(c_Nat_Osize__class_Osize(V_list,tc_List_Olist(T_a)),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__is__1_4,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__mod__trivial_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(V_a,V_b,T_a),V_b,T_a) = c_Divides_Odiv__class_Omod(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__eq__plus1__left_0,axiom, % 2.32/2.40 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_nat),V_n,tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__eq__plus1_0,axiom, % 2.32/2.40 c_Suc(V_n) = c_HOL_Oplus__class_Oplus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__0_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_zero__le__double__add__iff__zero__le__single__add_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_zero__le__double__add__iff__zero__le__single__add_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_a,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Oinf__left__idem_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_x,V_y,T_a),T_a) = c_Orderings_Oord__class_Omin(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_diff__add__cancel_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_Suc__length__conv_2,axiom, % 2.32/2.40 c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) = c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_take__take_0,axiom, % 2.32/2.40 c_List_Otake(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_Orderings_Oord__class_Omin(V_n,V_m,tc_nat),V_xs,T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__Suc_1,axiom, % 2.32/2.40 ( c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) % 2.32/2.40 | c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) = V_n ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_rotate__rev_0,axiom, % 2.32/2.40 c_List_Orotate(V_n,c_List_Orev(V_xs,T_a),T_a) = c_List_Orev(c_List_Orotate(c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),tc_nat),V_xs,T_a),T_a) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__mono_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(V_c,V_d,T_a) % 2.32/2.40 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_length__Suc__conv_2,axiom, % 2.32/2.40 c_Nat_Osize__class_Osize(c_List_Olist_OCons(V_x,V_xa,T_a),tc_List_Olist(T_a)) = c_Suc(c_Nat_Osize__class_Osize(V_xa,tc_List_Olist(T_a))) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_double__eq__0__iff_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Olordered__ab__group__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__is__0_2,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__nonneg__eq__0__iff_2,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a) = c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__add__eq_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__nonneg__nonneg_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(T_a) % 2.32/2.40 | c_lessequals(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Oadd__a_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__cancel__21_1,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_nat__add__left__commute_0,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,tc_nat),tc_nat) = c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_nat__add__assoc_0,axiom, % 2.32/2.40 c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_k,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_comm__monoid__add_Omult__assoc_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_ab__semigroup__add__class_Oadd__ac_I1_J_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Oab__semigroup__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Osemiring__rules_I25_J_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Osemiring__rules_I23_J_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Osemiring__rules_I22_J_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_class__semiring_Osemiring__rules_I21_J_0,axiom, % 2.32/2.40 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_add__cancel__21_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) != c_HOL_Oplus__class_Oplus(V_y,V_u,T_a) % 2.32/2.40 | c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) = V_u ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__diff__left__eq_0,axiom, % 2.32/2.40 ( ~ class_Divides_Oring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__diff__right__eq_0,axiom, % 2.32/2.40 ( ~ class_Divides_Oring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_power__one_0,axiom, % 2.32/2.40 ( ~ class_OrderedGroup_Omonoid__mult(T_a) % 2.32/2.40 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(T_a),V_n,T_a) = c_HOL_Oone__class_Oone(T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__iff__inf_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_x % 2.32/2.40 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Ole__iff__inf_1,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) != V_x % 2.32/2.40 | c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_min__max_Oinf__absorb2_0,axiom, % 2.32/2.40 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.40 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = V_y % 2.32/2.40 | ~ c_lessequals(V_y,V_x,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__add__left__eq_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),V_b,T_a),V_c,T_a) ) ). % 2.32/2.40 % 2.32/2.40 cnf(cls_mod__add__right__eq_0,axiom, % 2.32/2.40 ( ~ class_Divides_Osemiring__div(T_a) % 2.32/2.40 | c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Oplus__class_Oplus(V_a,c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_min__max_Oinf__assoc_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_min__max_Oinf__left__commute_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_Orderings_Oord__class_Omin(V_x,c_Orderings_Oord__class_Omin(V_y,V_z,T_a),T_a) = c_Orderings_Oord__class_Omin(V_y,c_Orderings_Oord__class_Omin(V_x,V_z,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_one__is__add_5,axiom, % 2.32/2.41 c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__add__0_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__diff__left_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(V_i,c_HOL_Oplus__class_Oplus(V_j,V_k,tc_nat),tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_power__mono_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.41 | 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) % 2.32/2.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) % 2.32/2.41 | ~ c_lessequals(V_a,V_b,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_eq__eqI_1,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.32/2.41 | c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a) != c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) % 2.32/2.41 | V_xa = V_y ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_eq__eqI_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.32/2.41 | c_HOL_Ominus__class_Ominus(V_x,V_x,T_a) != c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a) % 2.32/2.41 | V_x_H = V_y_H ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_one__is__add_3,axiom, % 2.32/2.41 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 2.32/2.41 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_one__is__add_0,axiom, % 2.32/2.41 ( c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) % 2.32/2.41 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.41 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__Suc__shift_0,axiom, % 2.32/2.41 c_HOL_Oplus__class_Oplus(c_Suc(V_m),V_n,tc_nat) = c_HOL_Oplus__class_Oplus(V_m,c_Suc(V_n),tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_eq__number__of_0,axiom, % 2.32/2.41 ( ~ class_Int_Oring__char__0(T_a) % 2.32/2.41 | ~ class_Int_Onumber__ring(T_a) % 2.32/2.41 | c_Int_Onumber__class_Onumber__of(V_x,T_a) != c_Int_Onumber__class_Onumber__of(V_y,T_a) % 2.32/2.41 | V_x = V_y ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__0__eq__0_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__cancel2_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat),c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__cancel_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat),c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_min__max_Oinf__commute_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_Orderings_Oord__class_Omin(V_x,V_y,T_a) = c_Orderings_Oord__class_Omin(V_y,V_x,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_class__ringb_Osubr0__iff_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.32/2.41 | ~ class_Int_Onumber__ring(T_a) % 2.32/2.41 | c_HOL_Ominus__class_Ominus(V_x,V_y,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.41 | V_x = V_y ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_right__minus__eq_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.32/2.41 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.41 | V_a = V_b ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_eq__iff__diff__eq__0_1,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Oab__group__add(T_a) % 2.32/2.41 | c_HOL_Ominus__class_Ominus(V_a,V_b,T_a) != c_HOL_Ozero__class_Ozero(T_a) % 2.32/2.41 | V_a = V_b ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__commute_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_j,tc_nat),V_k,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_i,V_k,tc_nat),V_j,tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__id_0,axiom, % 2.32/2.41 ( c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.41 | c_List_Orotate(V_n,V_xs,T_a) = V_xs ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_natgb_Oadd__cancel_0,axiom, % 2.32/2.41 ( c_HOL_Oplus__class_Oplus(V_x,V_y,tc_nat) != c_HOL_Oplus__class_Oplus(V_x,V_z,tc_nat) % 2.32/2.41 | V_y = V_z ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_nat__add__right__cancel_0,axiom, % 2.32/2.41 ( c_HOL_Oplus__class_Oplus(V_m,V_k,tc_nat) != c_HOL_Oplus__class_Oplus(V_n,V_k,tc_nat) % 2.32/2.41 | V_m = V_n ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_nat__add__left__cancel_0,axiom, % 2.32/2.41 ( c_HOL_Oplus__class_Oplus(V_k,V_m,tc_nat) != c_HOL_Oplus__class_Oplus(V_k,V_n,tc_nat) % 2.32/2.41 | V_m = V_n ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_class__ringb_Oadd__cancel_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.32/2.41 | ~ class_Int_Onumber__ring(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(V_x,V_y,T_a) != c_HOL_Oplus__class_Oplus(V_x,V_z,T_a) % 2.32/2.41 | V_y = V_z ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__imp__eq_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 2.32/2.41 | V_b = V_c ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__left__cancel_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(V_a,V_b,T_a) != c_HOL_Oplus__class_Oplus(V_a,V_c,T_a) % 2.32/2.41 | V_b = V_c ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__right__cancel_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Ocancel__semigroup__add(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(V_b,V_a,T_a) != c_HOL_Oplus__class_Oplus(V_c,V_a,T_a) % 2.32/2.41 | V_b = V_c ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_min__add__distrib__left_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(V_x,V_y,T_a),V_z,T_a) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_mod__diff__eq_0,axiom, % 2.32/2.41 ( ~ class_Divides_Oring__div(T_a) % 2.32/2.41 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(V_a,V_c,T_a),c_Divides_Odiv__class_Omod(V_b,V_c,T_a),T_a),V_c,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_mod__Suc_0,axiom, % 2.32/2.41 ( c_Suc(c_Divides_Odiv__class_Omod(V_m,V_n,tc_nat)) != V_n % 2.32/2.41 | c_Divides_Odiv__class_Omod(c_Suc(V_m),V_n,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__is__1_3,axiom, % 2.32/2.41 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.41 | V_n = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__is__1_0,axiom, % 2.32/2.41 ( c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) % 2.32/2.41 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.41 | V_m = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Suc__diff__diff_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_Suc(V_m),V_n,tc_nat),c_Suc(V_k),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),V_k,tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__Suc__eq__diff__pred_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(V_m,c_Suc(V_n),tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(V_m,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_n,tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_class__semiring_Osemiring__rules_I20_J_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_min__number__of_0,axiom, % 2.32/2.41 ( ~ class_Int_Onumber(T_a) % 2.32/2.41 | ~ class_HOL_Oord(T_a) % 2.32/2.41 | c_Orderings_Oord__class_Omin(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) = c_Int_Onumber__class_Onumber__of(V_u,T_a) % 2.32/2.41 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(V_u,T_a),c_Int_Onumber__class_Onumber__of(V_v,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_min__Suc__Suc_0,axiom, % 2.32/2.41 c_Orderings_Oord__class_Omin(c_Suc(V_m),c_Suc(V_n),tc_nat) = c_Suc(c_Orderings_Oord__class_Omin(V_m,V_n,tc_nat)) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_length__list__update_0,axiom, % 2.32/2.41 c_Nat_Osize__class_Osize(c_List_Olist__update(V_xs,V_i,V_x,T_a),tc_List_Olist(T_a)) = c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_power__inject__base_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Oordered__semidom(T_a) % 2.32/2.41 | 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) % 2.32/2.41 | V_a = V_b % 2.32/2.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a) % 2.32/2.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_class__semiring_Oadd__0_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a) = V_x ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_comm__monoid__add_Omult__1_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_natgb_Oadd__r0__iff_1,axiom, % 2.32/2.41 V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_plus__nat_Oadd__0_0,axiom, % 2.32/2.41 c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_nat),V_n,tc_nat) = V_n ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Nat_Oadd__0__right_0,axiom, % 2.32/2.41 c_HOL_Oplus__class_Oplus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m ). % 2.32/2.41 % 2.32/2.41 cnf(cls_class__ringb_Oadd__r0__iff_1,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Oidom(T_a) % 2.32/2.41 | ~ class_Int_Onumber__ring(T_a) % 2.32/2.41 | V_x = c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_comm__monoid__add_Omult__1__right_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Ocomm__monoid__add(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__0__left_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_monoid__add__class_Oadd__0__right_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Omonoid__add(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a) = V_a ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_class__semiring_Osemiring__rules_I5_J_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) % 2.32/2.41 | c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a) = V_a ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__add__inverse2_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_n,tc_nat) = V_m ). % 2.32/2.41 % 2.32/2.41 cnf(cls_diff__add__inverse_0,axiom, % 2.32/2.41 c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_n,tc_nat) = V_m ). % 2.32/2.41 % 2.32/2.41 cnf(cls_add__diff__cancel_0,axiom, % 2.32/2.41 ( ~ class_OrderedGroup_Ogroup__add(T_a) % 2.32/2.41 | c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a) = V_a ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__rotate_0,axiom, % 2.32/2.41 c_List_Orotate(V_m,c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(c_HOL_Oplus__class_Oplus(V_m,V_n,tc_nat),V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_hd_Osimps_0,axiom, % 2.32/2.41 c_List_Ohd(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_x ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted_Osimps_I3_J_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_lessequals(V_x,V_y,T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted_Osimps_I3_J_2,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a) % 2.32/2.41 | ~ c_lessequals(V_x,V_y,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__add_0,axiom, % 2.32/2.41 c_List_Oreplicate(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_x,T_a) = c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_m,V_x,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__Suc_0,axiom, % 2.32/2.41 ( c_List_Otake(c_Suc(V_n),V_xs,T_a) = c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a),T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__drop_0,axiom, % 2.32/2.41 c_List_Otake(V_n,c_List_Odrop(V_m,V_xs,T_a),T_a) = c_List_Odrop(V_m,c_List_Otake(c_HOL_Oplus__class_Oplus(V_n,V_m,tc_nat),V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__take_0,axiom, % 2.32/2.41 c_List_Odrop(V_n,c_List_Otake(V_m,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_m,V_n,tc_nat),c_List_Odrop(V_n,V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__drop__take_0,axiom, % 2.32/2.41 c_List_Orotate(V_n,V_xs,T_a) = c_List_Oappend(c_List_Odrop(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),c_List_Otake(c_Divides_Odiv__class_Omod(V_n,c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),tc_nat),V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last__list__update_1,axiom, % 2.32/2.41 ( c_List_Olast(c_List_Olist__update(V_xs,V_k,V_x,T_a),T_a) = c_List_Olast(V_xs,T_a) % 2.32/2.41 | V_k = c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last__list__update_0,axiom, % 2.32/2.41 ( V_xs = c_List_Olist_ONil(T_a) % 2.32/2.41 | c_List_Olast(c_List_Olist__update(V_xs,c_HOL_Ominus__class_Ominus(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a),T_a) = V_x ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__replicate_0,axiom, % 2.32/2.41 c_List_Otake(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_Orderings_Oord__class_Omin(V_i,V_k,tc_nat),V_x,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__replicate_0,axiom, % 2.32/2.41 c_List_Odrop(V_i,c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_k,V_i,tc_nat),V_x,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__tl_0,axiom, % 2.32/2.41 c_List_Otake(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Otake(c_Suc(V_n),V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__Suc_0,axiom, % 2.32/2.41 c_List_Odrop(c_Suc(V_n),V_xs,T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__Suc_0,axiom, % 2.32/2.41 c_List_Orotate(c_Suc(V_n),V_xs,T_a) = c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_power__0__left_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Osemiring__0(T_a) % 2.32/2.41 | ~ class_Power_Opower(T_a) % 2.32/2.41 | 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) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__Cons__number__of_0,axiom, % 2.32/2.41 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.41 | c_List_Odrop(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update__length_0,axiom, % 2.32/2.41 c_List_Olist__update(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,V_ys,T_a),T_a),c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_y,T_a) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__conv__conj_2,axiom, % 2.32/2.41 ( V_xs != c_List_Otake(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a) % 2.32/2.41 | c_List_Oappend(V_xs,c_List_Odrop(c_Nat_Osize__class_Osize(V_xs,tc_List_Olist(T_a)),V_zs,T_a),T_a) = V_zs ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__append__conv__if_6,axiom, % 2.32/2.41 ( c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a),c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) != V_ys_092_060_094isub_0622 % 2.32/2.41 | c_List_Otake(c_Nat_Osize__class_Osize(V_ys_092_060_094isub_0621,tc_List_Olist(T_a)),V_xs_092_060_094isub_0621,T_a) != V_ys_092_060_094isub_0621 % 2.32/2.41 | V_xs_092_060_094isub_0621 != c_List_Otake(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a) % 2.32/2.41 | c_List_Oappend(V_xs_092_060_094isub_0621,c_List_Oappend(c_List_Odrop(c_Nat_Osize__class_Osize(V_xs_092_060_094isub_0621,tc_List_Olist(T_a)),V_ys_092_060_094isub_0621,T_a),V_ys_092_060_094isub_0622,T_a),T_a) = c_List_Oappend(V_ys_092_060_094isub_0621,V_ys_092_060_094isub_0622,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last__rev_0,axiom, % 2.32/2.41 ( c_List_Olast(c_List_Orev(V_xs,T_a),T_a) = c_List_Ohd(V_xs,T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_hd__rev_0,axiom, % 2.32/2.41 ( c_List_Ohd(c_List_Orev(V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_tl__take_0,axiom, % 2.32/2.41 c_List_Otl(c_List_Otake(V_n,V_xs,T_a),T_a) = c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),c_List_Otl(V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__Cons__number__of_0,axiom, % 2.32/2.41 ( c_Int_Onumber__class_Onumber__of(V_v,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) % 2.32/2.41 | c_List_Otake(c_Int_Onumber__class_Onumber__of(V_v,tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__Cons_H_1,axiom, % 2.32/2.41 ( c_List_Otake(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Otake(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a),T_a) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__Cons_H_1,axiom, % 2.32/2.41 ( c_List_Odrop(V_n,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Odrop(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_xs,T_a) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_tl__replicate_0,axiom, % 2.32/2.41 ( c_List_Otl(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(c_HOL_Ominus__class_Ominus(V_n,c_HOL_Oone__class_Oone(tc_nat),tc_nat),V_x,T_a) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_splice_Osimps_I2_J_1,axiom, % 2.32/2.41 ( c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),V_ys,T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(c_List_Ohd(V_ys,T_a),c_List_Osplice(V_xs,c_List_Otl(V_ys,T_a),T_a),T_a),T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate1__hd__tl_0,axiom, % 2.32/2.41 ( c_List_Orotate1(V_xs,T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),c_List_Olist_OCons(c_List_Ohd(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted__Cons_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(V_xs,T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Cons__eq__appendI_0,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Cons__eq__append__conv_5,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remove1_Osimps_I2_J_0,axiom, % 2.32/2.41 c_List_Oremove1(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__Cons_0,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__Cons__conv_5,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted_Osimps_I3_J_1,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_y,V_zs,T_a),T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,V_zs,T_a),T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_removeAll_Osimps_I2_J_1,axiom, % 2.32/2.41 ( c_List_OremoveAll(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_OremoveAll(V_x,V_xs,T_a),T_a) % 2.32/2.41 | V_x = V_y ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remove1_Osimps_I2_J_1,axiom, % 2.32/2.41 ( c_List_Oremove1(V_x,c_List_Olist_OCons(V_y,V_xs,T_a),T_a) = c_List_Olist_OCons(V_y,c_List_Oremove1(V_x,V_xs,T_a),T_a) % 2.32/2.41 | V_x = V_y ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_splice__Cons__Cons_0,axiom, % 2.32/2.41 c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_OCons(V_y,V_ys,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_OCons(V_y,c_List_Osplice(V_xs,V_ys,T_a),T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_List_Omember_Osimps_I2_J_2,axiom, % 2.32/2.41 ( c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) % 2.32/2.41 | ~ c_List_Omember(V_x,V_ys,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_tl_Osimps_I2_J_0,axiom, % 2.32/2.41 c_List_Otl(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_List_Omember_Osimps_I2_J_1,axiom, % 2.32/2.41 c_List_Omember(V_x,c_List_Olist_OCons(V_x,V_ys,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_removeAll_Osimps_I2_J_0,axiom, % 2.32/2.41 c_List_OremoveAll(V_x,c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_OremoveAll(V_x,V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_List_Onull_Osimps_I2_J_0,axiom, % 2.32/2.41 ~ c_List_Onull(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_List_Omember_Osimps_I2_J_0,axiom, % 2.32/2.41 ( c_List_Omember(V_x,V_ys,T_a) % 2.32/2.41 | V_x = V_y % 2.32/2.41 | ~ c_List_Omember(V_x,c_List_Olist_OCons(V_y,V_ys,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__append_0,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__eq__replicate_1,axiom, % 2.32/2.41 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 2.32/2.41 | V_x = V_y % 2.32/2.41 | V_m = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update__code_I2_J_0,axiom, % 2.32/2.41 c_List_Olist__update(c_List_Olist_OCons(V_x,V_xs,T_a),c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) = c_List_Olist_OCons(V_y,V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__empty_1,axiom, % 2.32/2.41 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__eq__replicate_2,axiom, % 2.32/2.41 c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_y,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_butlast__append_0,axiom, % 2.32/2.41 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Obutlast(V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last__replicate_0,axiom, % 2.32/2.41 ( c_List_Olast(c_List_Oreplicate(V_n,V_x,T_a),T_a) = V_x % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_butlast__drop_0,axiom, % 2.32/2.41 c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__take__drop__id_0,axiom, % 2.32/2.41 c_List_Oappend(c_List_Otake(V_n,V_xs,T_a),c_List_Odrop(V_n,V_xs,T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__1__Cons_0,axiom, % 2.32/2.41 c_List_Odrop(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__eq__Nil_0,axiom, % 2.32/2.41 ( c_List_Otake(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_tl__drop_0,axiom, % 2.32/2.41 c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) = c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__butlast_0,axiom, % 2.32/2.41 c_List_Odrop(V_n,c_List_Obutlast(V_xs,T_a),T_a) = c_List_Obutlast(c_List_Odrop(V_n,V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__0_0,axiom, % 2.32/2.41 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_zero__neq__one_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 2.32/2.41 | c_HOL_Ozero__class_Ozero(T_a) != c_HOL_Oone__class_Oone(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__Cons__conv_3,axiom, % 2.32/2.41 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a) % 2.32/2.41 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs % 2.32/2.41 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Cons__eq__append__conv_2,axiom, % 2.32/2.41 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a) % 2.32/2.41 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys % 2.32/2.41 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__Cons_H_0,axiom, % 2.32/2.41 c_List_Odrop(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted__drop_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Odrop(V_n,V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__tl_0,axiom, % 2.32/2.41 c_List_Odrop(V_n,c_List_Otl(V_xs,T_a),T_a) = c_List_Otl(c_List_Odrop(V_n,V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__eq__replicate_0,axiom, % 2.32/2.41 ( c_List_Oreplicate(V_m,V_x,T_a) != c_List_Oreplicate(V_n,V_y,T_a) % 2.32/2.41 | V_m = V_n ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__same__eq_0,axiom, % 2.32/2.41 ( c_List_Oappend(V_ys,V_xs,T_a) != c_List_Oappend(V_zs,V_xs,T_a) % 2.32/2.41 | V_ys = V_zs ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_same__append__eq_0,axiom, % 2.32/2.41 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Oappend(V_xs,V_zs,T_a) % 2.32/2.41 | V_ys = V_zs ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted__take_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Otake(V_n,V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__swap_0,axiom, % 2.32/2.41 V_xs = c_List_Orev(c_List_Orev(V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__swap_1,axiom, % 2.32/2.41 c_List_Orev(c_List_Orev(V_ys,T_a),T_a) = V_ys ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__rev__ident_0,axiom, % 2.32/2.41 c_List_Orev(c_List_Orev(V_xs,T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__butlast__last__id_0,axiom, % 2.32/2.41 ( c_List_Oappend(c_List_Obutlast(V_xs,T_a),c_List_Olist_OCons(c_List_Olast(V_xs,T_a),c_List_Olist_ONil(T_a),T_a),T_a) = V_xs % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__replicate_0,axiom, % 2.32/2.41 c_List_Orev(c_List_Oreplicate(V_n,V_x,T_a),T_a) = c_List_Oreplicate(V_n,V_x,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_one__neq__zero_0,axiom, % 2.32/2.41 ( ~ class_Ring__and__Field_Ozero__neq__one(T_a) % 2.32/2.41 | c_HOL_Oone__class_Oone(T_a) != c_HOL_Ozero__class_Ozero(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_tl__append2_0,axiom, % 2.32/2.41 ( c_List_Otl(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_Otl(V_xs,T_a),V_ys,T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_removeAll__append_0,axiom, % 2.32/2.41 c_List_OremoveAll(V_x,c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(c_List_OremoveAll(V_x,V_xs,T_a),c_List_OremoveAll(V_x,V_ys,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_empty__replicate_1,axiom, % 2.32/2.41 c_List_Olist_ONil(T_a) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),V_x,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last__append_1,axiom, % 2.32/2.41 ( c_List_Olast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Olast(V_ys,T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__replicate__commute_0,axiom, % 2.32/2.41 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Oreplicate(V_k,V_x,T_a),T_a) = c_List_Oappend(c_List_Oreplicate(V_k,V_x,T_a),c_List_Oreplicate(V_n,V_x,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__remove1__removeAll_0,axiom, % 2.32/2.41 ( c_List_Oremove1(V_x,V_xs,T_a) = c_List_OremoveAll(V_x,V_xs,T_a) % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__0_0,axiom, % 2.32/2.41 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),V_xs,T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__is__rev__conv_0,axiom, % 2.32/2.41 ( c_List_Orev(V_xs,T_a) != c_List_Orev(V_ys,T_a) % 2.32/2.41 | V_xs = V_ys ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last__append_0,axiom, % 2.32/2.41 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olast(V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__empty_0,axiom, % 2.32/2.41 ( c_List_Oreplicate(V_n,V_x,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_empty__replicate_0,axiom, % 2.32/2.41 ( c_List_Olist_ONil(T_a) != c_List_Oreplicate(V_n,V_x,T_a) % 2.32/2.41 | V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__Cons__conv_2,axiom, % 2.32/2.41 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a) % 2.32/2.41 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) % 2.32/2.41 | V_zs = c_List_Olist_OCons(V_x,V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Cons__eq__append__conv_3,axiom, % 2.32/2.41 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a) % 2.32/2.41 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) % 2.32/2.41 | c_List_Olist_OCons(V_x,V_xs,T_a) = V_zs ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted__append_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(V_xs,T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted__append_1,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(V_ys,T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update__swap_0,axiom, % 2.32/2.41 ( c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i_H,V_x_H,T_a) = c_List_Olist__update(c_List_Olist__update(V_xs,V_i_H,V_x_H,T_a),V_i,V_x,T_a) % 2.32/2.41 | V_i = V_i_H ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted__remdups_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Oremdups(V_l,T_a),T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(V_l,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__app__Cons__same_0,axiom, % 2.32/2.41 c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oappend(c_List_Oreplicate(V_n,V_x,T_a),V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_butlast__append_1,axiom, % 2.32/2.41 ( c_List_Obutlast(c_List_Oappend(V_xs,V_ys,T_a),T_a) = c_List_Oappend(V_xs,c_List_Obutlast(V_ys,T_a),T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate1__rotate__swap_0,axiom, % 2.32/2.41 c_List_Orotate1(c_List_Orotate(V_n,V_xs,T_a),T_a) = c_List_Orotate(V_n,c_List_Orotate1(V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update__overwrite_0,axiom, % 2.32/2.41 c_List_Olist__update(c_List_Olist__update(V_xs,V_i,V_x,T_a),V_i,V_y,T_a) = c_List_Olist__update(V_xs,V_i,V_y,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__assoc_0,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__appendI_0,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__append__conv2_4,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__append__conv2_5,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted__remove1_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Oremove1(V_a,V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Olinorder__class_Osorted(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list_Onchotomy_0,axiom, % 2.32/2.41 ( V_v = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xnchotomy__1__1(V_v,T_a),c_List_Osko__List__Xlist__Xnchotomy__1__2(V_v,T_a),T_a) % 2.32/2.41 | V_v = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Cons__eq__append__conv_1,axiom, % 2.32/2.41 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a) % 2.32/2.41 | V_xs = c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__Cons__conv_0,axiom, % 2.32/2.41 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a) % 2.32/2.41 | V_ys = c_List_Olist_OCons(V_x,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last__snoc_0,axiom, % 2.32/2.41 c_List_Olast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_x ). % 2.32/2.41 % 2.32/2.41 cnf(cls_butlast__snoc_0,axiom, % 2.32/2.41 c_List_Obutlast(c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list_Oexhaust_0,axiom, % 2.32/2.41 ( V_y = c_List_Olist_OCons(c_List_Osko__List__Xlist__Xexhaust__1__1(V_y,T_a),c_List_Osko__List__Xlist__Xexhaust__1__2(V_y,T_a),T_a) % 2.32/2.41 | V_y = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__Cons_H_0,axiom, % 2.32/2.41 c_List_Otake(c_HOL_Ozero__class_Ozero(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_neq__Nil__conv_0,axiom, % 2.32/2.41 ( V_xs = c_List_Olist_OCons(c_List_Osko__List__Xneq__Nil__conv__1__1(V_xs,T_a),c_List_Osko__List__Xneq__Nil__conv__1__2(V_xs,T_a),T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__1__Cons_0,axiom, % 2.32/2.41 c_List_Otake(c_HOL_Oone__class_Oone(tc_nat),c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__Cons__conv_1,axiom, % 2.32/2.41 ( c_List_Oappend(V_ys,V_zs,T_a) != c_List_Olist_OCons(V_x,V_xs,T_a) % 2.32/2.41 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),V_zs,T_a) = V_xs % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Cons__eq__append__conv_0,axiom, % 2.32/2.41 ( c_List_Olist_OCons(V_x,V_xs,T_a) != c_List_Oappend(V_ys,V_zs,T_a) % 2.32/2.41 | c_List_Olist_OCons(V_x,c_List_Osko__List__XCons__eq__append__conv__1__1(V_x,V_xs,V_ys,V_zs,T_a),T_a) = V_ys % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev_Osimps_I2_J_0,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__eq__Cons__iff_0,axiom, % 2.32/2.41 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_y,V_ys,T_a) % 2.32/2.41 | 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) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__eq__Cons__iff_1,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__simps_1,axiom, % 2.32/2.41 c_List_Orotate1(c_List_Olist_OCons(V_x,V_xs,T_b),T_b) = c_List_Oappend(V_xs,c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_b),T_b),T_b) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_replicate__append__same_0,axiom, % 2.32/2.41 c_List_Oappend(c_List_Oreplicate(V_i,V_x,T_a),c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Oreplicate(V_i,V_x,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__is__Nil__conv_2,axiom, % 2.32/2.41 c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_empty__null_1,axiom, % 2.32/2.41 ( V_xs = c_List_Olist_ONil(T_a) % 2.32/2.41 | ~ c_List_Onull(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_removeAll_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_OremoveAll(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Nil__is__rev__conv_1,axiom, % 2.32/2.41 c_List_Olist_ONil(T_a) = c_List_Orev(c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_butlast_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_Obutlast(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remdups__eq__nil__right__iff_1,axiom, % 2.32/2.41 c_List_Olist_ONil(T_a) = c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_self__append__conv2_0,axiom, % 2.32/2.41 ( V_ys != c_List_Oappend(V_xs,V_ys,T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__self__conv2_0,axiom, % 2.32/2.41 ( c_List_Oappend(V_xs,V_ys,T_a) != V_ys % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_self__append__conv_0,axiom, % 2.32/2.41 ( V_xs != c_List_Oappend(V_xs,V_ys,T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__self__conv_0,axiom, % 2.32/2.41 ( c_List_Oappend(V_xs,V_ys,T_a) != V_xs % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remdups__eq__nil__iff_0,axiom, % 2.32/2.41 ( c_List_Oremdups(V_x,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_x = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_splice__Nil2_0,axiom, % 2.32/2.41 c_List_Osplice(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_splice_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_Osplice(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 2.32/2.41 % 2.32/2.41 cnf(cls_tl_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_Otl(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__is__Nil__conv_0,axiom, % 2.32/2.41 ( c_List_Orotate(V_n,V_xs,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Nil__is__rev__conv_0,axiom, % 2.32/2.41 ( c_List_Olist_ONil(T_a) != c_List_Orev(V_xs,T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_List_Omember_Osimps_I1_J_0,axiom, % 2.32/2.41 ~ c_List_Omember(V_x,c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__is__Nil__conv_1,axiom, % 2.32/2.41 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__is__Nil__conv_0,axiom, % 2.32/2.41 ( c_List_Oappend(V_xs,V_ys,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Nil__is__append__conv_1,axiom, % 2.32/2.41 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 2.32/2.41 | V_ys = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Nil__is__append__conv_0,axiom, % 2.32/2.41 ( c_List_Olist_ONil(T_a) != c_List_Oappend(V_xs,V_ys,T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remdups__eq__nil__iff_1,axiom, % 2.32/2.41 c_List_Oremdups(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_drop__Nil_0,axiom, % 2.32/2.41 c_List_Odrop(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__inter_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_Olist__inter(c_List_Olist_ONil(T_a),V_bs,T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_self__append__conv2_1,axiom, % 2.32/2.41 V_ys = c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__Nil_0,axiom, % 2.32/2.41 c_List_Oappend(c_List_Olist_ONil(T_a),V_ys,T_a) = V_ys ). % 2.32/2.41 % 2.32/2.41 cnf(cls_self__append__conv_1,axiom, % 2.32/2.41 V_xs = c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_eq__Nil__appendI_0,axiom, % 2.32/2.41 V_x = c_List_Oappend(c_List_Olist_ONil(T_a),V_x,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__Nil2_0,axiom, % 2.32/2.41 c_List_Oappend(V_xs,c_List_Olist_ONil(T_a),T_a) = V_xs ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate1__is__Nil__conv_0,axiom, % 2.32/2.41 ( c_List_Orotate1(V_xs,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_take__eq__Nil_2,axiom, % 2.32/2.41 c_List_Otake(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__simps_0,axiom, % 2.32/2.41 c_List_Orotate1(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_empty__null_0,axiom, % 2.32/2.41 c_List_Onull(c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted_Osimps_I1_J_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Olist_ONil(T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remdups__eq__nil__right__iff_0,axiom, % 2.32/2.41 ( c_List_Olist_ONil(T_a) != c_List_Oremdups(V_x,T_a) % 2.32/2.41 | V_x = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update__nonempty_1,axiom, % 2.32/2.41 c_List_Olist__update(c_List_Olist_ONil(T_a),V_k,V_x,T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update__code_I1_J_0,axiom, % 2.32/2.41 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_y,T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_Olist__update(c_List_Olist_ONil(T_a),V_i,V_v,T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remove1_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_Oremove1(V_x,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__is__Nil__conv_0,axiom, % 2.32/2.41 ( c_List_Orev(V_xs,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rotate__is__Nil__conv_1,axiom, % 2.32/2.41 c_List_Orotate(V_n,c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Nil__is__append__conv_2,axiom, % 2.32/2.41 c_List_Olist_ONil(T_a) = c_List_Oappend(c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__is__Nil__conv_1,axiom, % 2.32/2.41 c_List_Orev(c_List_Olist_ONil(T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list__update__nonempty_0,axiom, % 2.32/2.41 ( c_List_Olist__update(V_xs,V_k,V_x,T_a) != c_List_Olist_ONil(T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__remdups_0,axiom, % 2.32/2.41 c_List_Odistinct(c_List_Oremdups(V_xs,T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__rotate_1,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__rotate_0,axiom, % 2.32/2.41 ( c_List_Odistinct(V_xs,T_a) % 2.32/2.41 | ~ c_List_Odistinct(c_List_Orotate(V_n,V_xs,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__remove1_0,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Oremove1(V_x,V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__append_1,axiom, % 2.32/2.41 ( c_List_Odistinct(V_ys,T_a) % 2.32/2.41 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__append_0,axiom, % 2.32/2.41 ( c_List_Odistinct(V_xs,T_a) % 2.32/2.41 | ~ c_List_Odistinct(c_List_Oappend(V_xs,V_ys,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct1__rotate_1,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct1__rotate_0,axiom, % 2.32/2.41 ( c_List_Odistinct(V_xs,T_a) % 2.32/2.41 | ~ c_List_Odistinct(c_List_Orotate1(V_xs,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__drop_0,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Odrop(V_i,V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__rev_1,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__rev_0,axiom, % 2.32/2.41 ( c_List_Odistinct(V_xs,T_a) % 2.32/2.41 | ~ c_List_Odistinct(c_List_Orev(V_xs,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_remdups__id__iff__distinct_0,axiom, % 2.32/2.41 ( c_List_Oremdups(V_xs,T_a) != V_xs % 2.32/2.41 | c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__remdups__id_0,axiom, % 2.32/2.41 ( c_List_Oremdups(V_xs,T_a) = V_xs % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct__take_0,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Otake(V_i,V_xs,T_a),T_a) % 2.32/2.41 | ~ c_List_Odistinct(V_xs,T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_alt3_0,axiom, % 2.32/2.41 c_List_Odistinct(c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__2,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xalt3__3,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append1__eq__conv_1,axiom, % 2.32/2.41 ( 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) % 2.32/2.41 | V_x = V_y ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append1__eq__conv_0,axiom, % 2.32/2.41 ( 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) % 2.32/2.41 | V_xs = V_ys ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_append__eq__Cons__conv_4,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_butlast_Osimps_I2_J_1,axiom, % 2.32/2.41 ( c_List_Obutlast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olist_OCons(V_x,c_List_Obutlast(V_xs,T_a),T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last_Osimps_0,axiom, % 2.32/2.41 c_List_Olast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = V_x ). % 2.32/2.41 % 2.32/2.41 cnf(cls_butlast_Osimps_I2_J_0,axiom, % 2.32/2.41 c_List_Obutlast(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) = c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_splice_Osimps_I2_J_0,axiom, % 2.32/2.41 c_List_Osplice(c_List_Olist_OCons(V_x,V_xs,T_a),c_List_Olist_ONil(T_a),T_a) = c_List_Olist_OCons(V_x,V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__singleton__conv_0,axiom, % 2.32/2.41 ( c_List_Orev(V_xs,T_a) != c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) % 2.32/2.41 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_singleton__rev__conv_0,axiom, % 2.32/2.41 ( c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) != c_List_Orev(V_xs,T_a) % 2.32/2.41 | V_xs = c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_rev__singleton__conv_1,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_last_Osimps_1,axiom, % 2.32/2.41 ( c_List_Olast(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) = c_List_Olast(V_xs,T_a) % 2.32/2.41 | V_xs = c_List_Olist_ONil(T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_Cons__eq__append__conv_4,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_singleton__rev__conv_1,axiom, % 2.32/2.41 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) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_sorted_Osimps_I2_J_0,axiom, % 2.32/2.41 ( ~ class_Orderings_Olinorder(T_a) % 2.32/2.41 | c_List_Olinorder__class_Osorted(c_List_Olist_OCons(V_x,c_List_Olist_ONil(T_a),T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_third__alt_0,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Olist_OCons(V_a,c_List_Olist_OCons(V_b,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(V_a,V_b),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) % 2.32/2.41 | V_a = V_b ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list_Oinject_1,axiom, % 2.32/2.41 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 2.32/2.41 | V_list = V_list_H ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list_Oinject_0,axiom, % 2.32/2.41 ( c_List_Olist_OCons(V_a,V_list,T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) % 2.32/2.41 | V_a = V_a_H ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct_Osimps_I1_J_0,axiom, % 2.32/2.41 c_List_Odistinct(c_List_Olist_ONil(T_a),T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list_Osimps_I2_J_0,axiom, % 2.32/2.41 c_List_Olist_ONil(T_a) != c_List_Olist_OCons(V_a_H,V_list_H,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_that_0,axiom, % 2.32/2.41 ( v_thesis____ % 2.32/2.41 | ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(V_c,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_neq__Nil__conv_1,axiom, % 2.32/2.41 c_List_Olist_OCons(V_x,V_xa,T_a) != c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_list_Osimps_I3_J_0,axiom, % 2.32/2.41 c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_not__Cons__self2_0,axiom, % 2.32/2.41 c_List_Olist_OCons(V_x,V_t,T_a) != V_t ). % 2.32/2.41 % 2.32/2.41 cnf(cls_not__Cons__self_0,axiom, % 2.32/2.41 V_xs != c_List_Olist_OCons(V_x,V_xs,T_a) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_distinct_Osimps_I2_J_1,axiom, % 2.32/2.41 ( c_List_Odistinct(V_xs,T_a) % 2.32/2.41 | ~ c_List_Odistinct(c_List_Olist_OCons(V_x,V_xs,T_a),T_a) ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_CHAINED_0,axiom, % 2.32/2.41 ( c_List_Odistinct(c_List_Olist_OCons(V_a,c_List_Olist_OCons(V_b,c_List_Olist_OCons(v_sko__CHAINED__1(V_a,V_b),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) % 2.32/2.41 | V_a = V_b ) ). % 2.32/2.41 % 2.32/2.41 cnf(cls_CHAINED_0_01,axiom, % 2.32/2.41 v_a____ != v_b____ ). % 2.32/2.41 % 2.32/2.41 cnf(cls_conjecture_0,negated_conjecture, % 2.32/2.41 ~ v_thesis____ ). % 2.32/2.41 % 2.32/2.41 cnf(cls_conjecture_1,negated_conjecture, % 2.32/2.41 ( v_thesis____ % 2.32/2.41 | ~ c_List_Odistinct(c_List_Olist_OCons(v_a____,c_List_Olist_OCons(v_b____,c_List_Olist_OCons(V_x,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Opordered__comm__monoid__add,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Ocancel__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Ring__and__Field_Ono__zero__divisors,axiom, % 2.32/2.41 class_Ring__and__Field_Ono__zero__divisors(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Ring__and__Field_Oordered__semidom,axiom, % 2.32/2.41 class_Ring__and__Field_Oordered__semidom(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Ring__and__Field_Ocomm__semiring__1,axiom, % 2.32/2.41 class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Oab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Oab__semigroup__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Ocomm__monoid__add,axiom, % 2.32/2.41 class_OrderedGroup_Ocomm__monoid__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Ring__and__Field_Ozero__neq__one,axiom, % 2.32/2.41 class_Ring__and__Field_Ozero__neq__one(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Ring__and__Field_Osemiring__0,axiom, % 2.32/2.41 class_Ring__and__Field_Osemiring__0(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Ring__and__Field_Omult__zero,axiom, % 2.32/2.41 class_Ring__and__Field_Omult__zero(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Omonoid__mult,axiom, % 2.32/2.41 class_OrderedGroup_Omonoid__mult(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__OrderedGroup_Omonoid__add,axiom, % 2.32/2.41 class_OrderedGroup_Omonoid__add(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Divides_Osemiring__div,axiom, % 2.32/2.41 class_Divides_Osemiring__div(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Orderings_Opreorder,axiom, % 2.32/2.41 class_Orderings_Opreorder(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Orderings_Olinorder,axiom, % 2.32/2.41 class_Orderings_Olinorder(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Orderings_Oorder,axiom, % 2.32/2.41 class_Orderings_Oorder(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Power_Opower,axiom, % 2.32/2.41 class_Power_Opower(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__Int_Onumber,axiom, % 2.32/2.41 class_Int_Onumber(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_nat__HOL_Oord,axiom, % 2.32/2.41 class_HOL_Oord(tc_nat) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Oring__1__no__zero__divisors,axiom, % 2.32/2.41 class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom, % 2.32/2.41 class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom, % 2.32/2.41 class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom, % 2.32/2.41 class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom, % 2.32/2.41 class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom, % 2.32/2.41 class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom, % 2.32/2.41 class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom, % 2.32/2.41 class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom, % 2.32/2.41 class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring__0,axiom, % 2.32/2.41 class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom, % 2.32/2.41 class_OrderedGroup_Oab__group__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom, % 2.32/2.41 class_Ring__and__Field_Omult__zero(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom, % 2.32/2.41 class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom, % 2.32/2.41 class_OrderedGroup_Omonoid__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom, % 2.32/2.41 class_OrderedGroup_Ogroup__add(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Divides_Osemiring__div,axiom, % 2.32/2.41 class_Divides_Osemiring__div(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom, % 2.32/2.41 class_Ring__and__Field_Oidom(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom, % 2.32/2.41 class_Orderings_Opreorder(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom, % 2.32/2.41 class_Orderings_Olinorder(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Divides_Oring__div,axiom, % 2.32/2.41 class_Divides_Oring__div(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Orderings_Oorder,axiom, % 2.32/2.41 class_Orderings_Oorder(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom, % 2.32/2.41 class_Int_Oring__char__0(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom, % 2.32/2.41 class_Int_Onumber__ring(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Power_Opower,axiom, % 2.32/2.41 class_Power_Opower(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__Int_Onumber,axiom, % 2.32/2.41 class_Int_Onumber(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 cnf(clsarity_Int__Oint__HOL_Oord,axiom, % 2.32/2.41 class_HOL_Oord(tc_Int_Oint) ). % 2.32/2.41 % 2.32/2.41 %------------------------------------------------------------------------------ % 2.32/2.41 %------------------------------------------- % 2.32/2.41 % Proof found % 2.32/2.41 % SZS status Theorem for theBenchmark % 2.32/2.41 % SZS output start Proof % 2.32/2.41 %ClaNum:810(EqnAxiom:147) % 2.32/2.41 %VarNum:3911(SingletonVarNum:1427) % 2.32/2.41 %MaxLitNum:6 % 2.32/2.41 %MaxfuncDepth:6 % 2.32/2.41 %SharedTerms:85 % 2.32/2.41 %goalClause: 376 793 % 2.32/2.41 %singleGoalClaCount:1 % 2.32/2.41 [148]P1(a1) % 2.32/2.41 [149]P1(a2) % 2.32/2.41 [150]P2(a1) % 2.32/2.41 [151]P2(a2) % 2.32/2.41 [152]P29(a1) % 2.32/2.41 [153]P29(a2) % 2.32/2.41 [154]P30(a1) % 2.32/2.41 [155]P30(a2) % 2.32/2.41 [156]P3(a1) % 2.32/2.41 [157]P3(a2) % 2.32/2.41 [158]P4(a1) % 2.32/2.41 [159]P4(a2) % 2.32/2.41 [160]P5(a2) % 2.32/2.41 [161]P24(a1) % 2.32/2.41 [162]P24(a2) % 2.32/2.41 [163]P6(a1) % 2.32/2.41 [164]P6(a2) % 2.32/2.41 [165]P31(a2) % 2.32/2.41 [166]P25(a2) % 2.32/2.41 [167]P7(a1) % 2.32/2.41 [168]P7(a2) % 2.32/2.41 [169]P32(a2) % 2.32/2.41 [170]P17(a2) % 2.32/2.41 [171]P23(a2) % 2.32/2.41 [172]P18(a2) % 2.32/2.41 [173]P33(a1) % 2.32/2.41 [174]P33(a2) % 2.32/2.41 [175]P8(a1) % 2.32/2.41 [176]P8(a2) % 2.32/2.41 [177]P37(a1) % 2.32/2.41 [178]P37(a2) % 2.32/2.41 [179]P34(a1) % 2.32/2.41 [180]P34(a2) % 2.32/2.41 [181]P26(a1) % 2.32/2.41 [182]P26(a2) % 2.32/2.41 [183]P9(a2) % 2.32/2.41 [184]P28(a1) % 2.32/2.41 [185]P28(a2) % 2.32/2.41 [186]P38(a2) % 2.32/2.41 [187]P39(a1) % 2.32/2.41 [188]P39(a2) % 2.32/2.41 [189]P35(a1) % 2.32/2.41 [190]P35(a2) % 2.32/2.41 [191]P36(a1) % 2.32/2.41 [192]P36(a2) % 2.32/2.41 [193]P16(a1) % 2.32/2.41 [194]P16(a2) % 2.32/2.41 [195]P20(a1) % 2.32/2.41 [196]P20(a2) % 2.32/2.41 [197]P19(a2) % 2.32/2.41 [198]P21(a1) % 2.32/2.41 [199]P21(a2) % 2.32/2.41 [200]P22(a1) % 2.32/2.41 [201]P22(a2) % 2.32/2.41 [202]P27(a1) % 2.32/2.41 [203]P27(a2) % 2.32/2.41 [375]~E(a41,a42) % 2.32/2.41 [376]~P40(a5000) % 2.32/2.41 [361]P11(f12(a40,f12(a43,f12(a44,f3(a37),a37),a37),a37),a37) % 2.32/2.41 [378]~P12(x3781,x3781,a1) % 2.32/2.41 [204]P10(f3(x2041),x2041) % 2.32/2.41 [205]P11(f3(x2051),x2051) % 2.32/2.41 [217]E(f5(x2171,x2171,a1),f4(a1)) % 2.32/2.41 [382]~P12(x3821,f4(a1),a1) % 2.32/2.41 [208]E(f15(f3(x2081),x2081),f3(x2081)) % 2.32/2.41 [209]E(f16(f3(x2091),x2091),f3(x2091)) % 2.32/2.41 [210]E(f22(f3(x2101),x2101),f3(x2101)) % 2.32/2.41 [211]E(f24(f3(x2111),x2111),f3(x2111)) % 2.32/2.41 [212]E(f35(f3(x2121),f39(x2121)),f4(a1)) % 2.32/2.41 [219]E(f7(x2191,f4(a1),a1),x2191) % 2.32/2.41 [220]E(f5(x2201,f4(a1),a1),x2201) % 2.32/2.41 [221]E(f7(f4(a1),x2211,a1),x2211) % 2.32/2.41 [223]E(f36(x2231,f4(a1),a1),f4(a1)) % 2.32/2.41 [224]E(f36(f4(a1),x2241,a1),f4(a1)) % 2.32/2.41 [225]E(f5(f4(a1),x2251,a1),f4(a1)) % 2.32/2.41 [265]P12(x2651,f7(x2651,f8(a1),a1),a1) % 2.32/2.41 [268]P12(f4(a1),f7(x2681,f8(a1),a1),a1) % 2.32/2.41 [384]~E(f7(x3841,f8(a1),a1),x3841) % 2.32/2.41 [391]~E(f7(x3911,f8(a1),a1),f4(a1)) % 2.32/2.41 [394]~P12(f4(a1),f35(f3(x3941),f39(x3941)),a1) % 2.32/2.41 [271]E(f6(x2711,f7(f4(a1),f8(a1),a1),a1),f4(a1)) % 2.32/2.41 [213]P11(f16(x2131,x2132),x2132) % 2.32/2.41 [248]E(f7(x2481,x2482,a1),f7(x2482,x2481,a1)) % 2.32/2.41 [393]~P13(x3931,f3(x3932),x3932) % 2.32/2.41 [396]~P12(f7(x3961,x3962,a1),x3962,a1) % 2.32/2.41 [397]~P12(f7(x3971,x3972,a1),x3971,a1) % 2.32/2.41 [216]E(f15(f15(x2161,x2162),x2162),x2161) % 2.32/2.41 [222]E(f9(f4(a1),x2221,x2222),x2221) % 2.32/2.41 [229]E(f10(x2291,f3(x2292),x2292),x2291) % 2.32/2.41 [230]E(f25(x2301,f3(x2302),x2302),x2301) % 2.32/2.41 [231]E(f10(f3(x2311),x2312,x2311),x2312) % 2.32/2.41 [232]E(f25(f3(x2321),x2322,x2321),x2322) % 2.32/2.41 [234]E(f34(f4(a1),x2341,x2342),f3(x2342)) % 2.32/2.41 [235]E(f19(f4(a1),x2351,x2352),f3(x2352)) % 2.32/2.41 [238]E(f34(x2381,f3(x2382),x2382),f3(x2382)) % 2.32/2.41 [239]E(f9(x2391,f3(x2392),x2392),f3(x2392)) % 2.32/2.41 [240]E(f23(x2401,f3(x2402),x2402),f3(x2402)) % 2.32/2.41 [241]E(f20(x2411,f3(x2412),x2412),f3(x2412)) % 2.32/2.41 [242]E(f21(x2421,f3(x2422),x2422),f3(x2422)) % 2.32/2.41 [243]E(f17(f3(x2431),x2432,x2431),f3(x2431)) % 2.32/2.41 [244]E(f35(f15(x2441,x2442),f39(x2442)),f35(x2441,f39(x2442))) % 2.32/2.41 [245]E(f35(f22(x2451,x2452),f39(x2452)),f35(x2451,f39(x2452))) % 2.32/2.41 [255]E(f35(f24(x2551,x2552),f39(x2552)),f5(f35(x2551,f39(x2552)),f8(a1),a1)) % 2.32/2.41 [259]E(f5(f7(x2591,x2592,a1),x2592,a1),x2591) % 2.32/2.41 [260]E(f5(f7(x2601,x2602,a1),x2601,a1),x2602) % 2.32/2.41 [261]E(f5(x2611,f7(x2611,x2612,a1),a1),f4(a1)) % 2.32/2.41 [302]P12(f5(x3021,x3022,a1),f7(x3021,f8(a1),a1),a1) % 2.32/2.41 [338]P12(x3381,f7(f7(x3382,x3381,a1),f8(a1),a1),a1) % 2.32/2.41 [340]P12(x3401,f7(f7(x3401,x3402,a1),f8(a1),a1),a1) % 2.32/2.41 [357]E(f35(f34(f5(f35(x3571,f39(x3572)),f8(a1),a1),x3571,x3572),f39(x3572)),f5(f35(x3571,f39(x3572)),f8(a1),a1)) % 2.32/2.41 [254]E(f14(f12(x2541,f3(x2542),x2542),x2542),x2541) % 2.32/2.41 [256]E(f14(f10(x2561,f3(x2562),x2562),x2562),f14(x2561,x2562)) % 2.32/2.41 [257]E(f13(f10(f3(x2571),x2572,x2571),x2571),f13(x2572,x2571)) % 2.32/2.41 [275]E(f15(f12(x2751,f3(x2752),x2752),x2752),f12(x2751,f3(x2752),x2752)) % 2.32/2.41 [330]E(f7(f7(x3301,f8(a1),a1),x3302,a1),f7(f7(x3301,x3302,a1),f8(a1),a1)) % 2.32/2.41 [333]E(f5(f5(x3331,f8(a1),a1),x3332,a1),f5(x3331,f7(x3332,f8(a1),a1),a1)) % 2.32/2.41 [334]E(f7(f7(x3341,f8(a1),a1),x3342,a1),f7(x3341,f7(x3342,f8(a1),a1),a1)) % 2.32/2.41 [350]E(f36(f7(x3501,f8(a1),a1),f7(x3502,f8(a1),a1),a1),f7(f36(x3501,x3502,a1),f8(a1),a1)) % 2.32/2.41 [355]E(f6(f7(f6(x3551,x3552,a1),f8(a1),a1),x3552,a1),f6(f7(x3551,f8(a1),a1),x3552,a1)) % 2.32/2.41 [365]E(f34(f5(f35(f12(x3651,f3(x3652),x3652),f39(x3652)),f8(a1),a1),f12(x3651,f3(x3652),x3652),x3652),f3(x3652)) % 2.32/2.41 [369]E(f34(f5(f35(f10(x3691,f3(x3692),x3692),f39(x3692)),f8(a1),a1),f10(x3691,f3(x3692),x3692),x3692),f34(f5(f35(x3691,f39(x3692)),f8(a1),a1),x3691,x3692)) % 2.32/2.41 [262]P13(x2621,f12(x2621,x2622,x2623),x2623) % 2.32/2.41 [380]~E(f12(x3801,x3802,x3803),x3802) % 2.32/2.41 [387]~E(f12(x3871,x3872,x3873),f3(x3873)) % 2.32/2.41 [395]~P10(f12(x3951,x3952,x3953),x3953) % 2.32/2.41 [250]E(f19(f4(a1),x2501,x2502),f19(f4(a1),x2503,x2502)) % 2.32/2.41 [251]E(f13(f12(x2511,x2512,x2513),x2513),x2511) % 2.32/2.41 [252]E(f24(f12(x2521,x2522,x2523),x2523),x2522) % 2.32/2.41 [253]E(f35(f19(x2531,x2532,x2533),f39(x2533)),x2531) % 2.32/2.41 [258]E(f35(f23(x2581,x2582,x2583),f39(x2583)),f35(x2582,f39(x2583))) % 2.32/2.41 [263]E(f20(x2631,f12(x2631,x2632,x2633),x2633),x2632) % 2.32/2.41 [266]E(f9(f8(a1),f12(x2661,x2662,x2663),x2663),x2662) % 2.32/2.41 [273]E(f15(f19(x2731,x2732,x2733),x2733),f19(x2731,x2732,x2733)) % 2.32/2.41 [276]E(f34(f35(x2761,f39(x2762)),f10(x2761,x2763,x2762),x2762),x2761) % 2.32/2.41 [277]E(f9(f35(x2771,f39(x2772)),f10(x2771,x2773,x2772),x2772),x2773) % 2.32/2.41 [278]E(f23(x2781,f22(x2782,x2783),x2783),f22(f23(x2781,x2782,x2783),x2783)) % 2.32/2.41 [280]E(f9(x2801,f24(x2802,x2803),x2803),f24(f9(x2801,x2802,x2803),x2803)) % 2.32/2.41 [281]E(f21(x2811,f12(x2811,x2812,x2813),x2813),f21(x2811,x2812,x2813)) % 2.32/2.41 [285]E(f35(f12(x2851,x2852,x2853),f39(x2853)),f7(f35(x2852,f39(x2853)),f8(a1),a1)) % 2.32/2.41 [286]E(f7(f35(x2861,f39(x2862)),f8(a1),a1),f35(f12(x2863,x2861,x2862),f39(x2862))) % 2.32/2.41 [290]E(f34(f8(a1),f12(x2901,x2902,x2903),x2903),f12(x2901,f3(x2903),x2903)) % 2.32/2.41 [291]E(f10(f15(x2911,x2912),f15(x2913,x2912),x2912),f15(f10(x2913,x2911,x2912),x2912)) % 2.32/2.41 [301]E(f18(f3(x3011),x3012,x3013,x3011),f3(x3011)) % 2.32/2.41 [303]E(f10(f34(x3031,x3032,x3033),f9(x3031,x3032,x3033),x3033),x3032) % 2.32/2.41 [308]E(f34(f5(x3081,f8(a1),a1),f24(x3082,x3083),x3083),f24(f34(x3081,x3082,x3083),x3083)) % 2.32/2.41 [309]E(f7(x3091,f7(x3092,x3093,a1),a1),f7(x3092,f7(x3091,x3093,a1),a1)) % 2.32/2.41 [310]E(f7(f7(x3101,x3102,a1),x3103,a1),f7(x3101,f7(x3102,x3103,a1),a1)) % 2.32/2.41 [311]E(f5(f5(x3111,x3112,a1),x3113,a1),f5(x3111,f7(x3112,x3113,a1),a1)) % 2.32/2.41 [312]E(f5(f5(x3121,x3122,a1),x3123,a1),f5(f5(x3121,x3123,a1),x3122,a1)) % 2.32/2.41 [313]E(f5(f7(x3131,x3132,a1),f7(x3133,x3132,a1),a1),f5(x3131,x3133,a1)) % 2.32/2.41 [314]E(f5(f7(x3141,x3142,a1),f7(x3141,x3143,a1),a1),f5(x3142,x3143,a1)) % 2.32/2.41 [341]E(f9(f5(f35(x3411,f39(x3412)),x3413,a1),f15(x3411,x3412),x3412),f15(f34(x3413,x3411,x3412),x3412)) % 2.32/2.41 [342]E(f34(f5(f35(x3421,f39(x3422)),x3423,a1),f15(x3421,x3422),x3422),f15(f9(x3423,x3421,x3422),x3422)) % 2.32/2.41 [344]E(f36(f5(x3441,x3442,a1),f5(x3443,x3442,a1),a1),f5(f36(x3441,x3443,a1),x3442,a1)) % 2.32/2.41 [282]E(f35(f34(x2821,x2822,x2823),f39(x2823)),f36(f35(x2822,f39(x2823)),x2821,a1)) % 2.32/2.41 [283]E(f35(f9(x2831,x2832,x2833),f39(x2833)),f5(f35(x2832,f39(x2833)),x2831,a1)) % 2.32/2.41 [296]E(f9(f7(x2961,f8(a1),a1),x2962,x2963),f9(x2961,f24(x2962,x2963),x2963)) % 2.32/2.41 [297]E(f7(f35(x2971,f39(x2972)),f35(x2973,f39(x2972)),a1),f35(f10(x2971,x2973,x2972),f39(x2972))) % 2.32/2.41 [298]E(f7(f35(x2981,f39(x2982)),f35(x2983,f39(x2982)),a1),f35(f25(x2981,x2983,x2982),f39(x2982))) % 2.32/2.41 [305]E(f23(f7(x3051,f8(a1),a1),x3052,x3053),f22(f23(x3051,x3052,x3053),x3053)) % 2.32/2.41 [307]E(f10(x3071,f12(x3072,f3(x3073),x3073),x3073),f22(f12(x3072,x3071,x3073),x3073)) % 2.32/2.41 [320]E(f10(f15(x3201,x3202),f12(x3203,f3(x3202),x3202),x3202),f15(f12(x3203,x3201,x3202),x3202)) % 2.32/2.41 [331]E(f19(f7(x3311,f8(a1),a1),x3312,x3313),f12(x3312,f19(x3311,x3312,x3313),x3313)) % 2.32/2.41 [336]E(f35(f12(x3361,x3362,x3363),f39(x3363)),f7(f35(x3362,f39(x3363)),f7(f4(a1),f8(a1),a1),a1)) % 2.32/2.41 [351]E(f10(f19(x3511,x3512,x3513),f12(x3512,f3(x3513),x3513),x3513),f12(x3512,f19(x3511,x3512,x3513),x3513)) % 2.32/2.41 [360]E(f5(f5(f7(x3601,f8(a1),a1),x3602,a1),f7(x3603,f8(a1),a1),a1),f5(f5(x3601,x3602,a1),x3603,a1)) % 2.32/2.41 [306]E(f23(f6(x3061,f35(x3062,f39(x3063)),a1),x3062,x3063),f23(x3061,x3062,x3063)) % 2.32/2.41 [337]E(f14(f10(x3371,f12(x3372,f3(x3373),x3373),x3373),x3373),x3372) % 2.32/2.41 [345]E(f24(f34(f7(x3451,f8(a1),a1),x3452,x3453),x3453),f34(x3451,f24(x3452,x3453),x3453)) % 2.32/2.41 [352]E(f15(f10(f15(x3521,x3522),f12(x3523,f3(x3522),x3522),x3522),x3522),f12(x3523,x3521,x3522)) % 2.32/2.41 [372]E(f34(f5(f35(f9(x3721,x3722,x3723),f39(x3723)),f8(a1),a1),f9(x3721,x3722,x3723),x3723),f9(x3721,f34(f5(f35(x3722,f39(x3723)),f8(a1),a1),x3722,x3723),x3723)) % 2.32/2.41 [373]E(f34(f5(f35(f10(x3731,f12(x3732,f3(x3733),x3733),x3733),f39(x3733)),f8(a1),a1),f10(x3731,f12(x3732,f3(x3733),x3733),x3733),x3733),x3731) % 2.32/2.41 [374]E(f34(f5(f35(f18(x3741,f5(f35(x3741,f39(x3742)),f8(a1),a1),x3743,x3742),f39(x3742)),f8(a1),a1),f18(x3741,f5(f35(x3741,f39(x3742)),f8(a1),a1),x3743,x3742),x3742),f34(f5(f35(x3741,f39(x3742)),f8(a1),a1),x3741,x3742)) % 2.32/2.41 [368]E(f10(f9(f6(x3681,f35(x3682,f39(x3683)),a1),x3682,x3683),f34(f6(x3681,f35(x3682,f39(x3683)),a1),x3682,x3683),x3683),f23(x3681,x3682,x3683)) % 2.32/2.41 [370]E(f15(f23(f5(f35(x3701,f39(x3702)),f6(x3703,f35(x3701,f39(x3702)),a1),a1),x3701,x3702),x3702),f23(x3703,f15(x3701,x3702),x3702)) % 2.32/2.41 [315]E(f34(x3151,f34(x3152,x3153,x3154),x3154),f34(f36(x3151,x3152,a1),x3153,x3154)) % 2.32/2.41 [316]E(f34(x3161,f19(x3162,x3163,x3164),x3164),f19(f36(x3161,x3162,a1),x3163,x3164)) % 2.32/2.41 [317]E(f9(x3171,f9(x3172,x3173,x3174),x3174),f9(f7(x3171,x3172,a1),x3173,x3174)) % 2.32/2.41 [318]E(f9(x3181,f19(x3182,x3183,x3184),x3184),f19(f5(x3182,x3181,a1),x3183,x3184)) % 2.32/2.41 [319]E(f23(x3191,f23(x3192,x3193,x3194),x3194),f23(f7(x3191,x3192,a1),x3193,x3194)) % 2.32/2.41 [326]E(f10(f10(x3261,x3262,x3263),x3264,x3263),f10(x3261,f10(x3262,x3264,x3263),x3263)) % 2.32/2.41 [328]E(f12(x3281,f10(x3282,x3283,x3284),x3284),f10(f12(x3281,x3282,x3284),x3283,x3284)) % 2.32/2.41 [332]E(f9(f7(x3321,f8(a1),a1),f12(x3322,x3323,x3324),x3324),f9(x3321,x3323,x3324)) % 2.32/2.41 [343]E(f18(f12(x3431,x3432,x3433),f4(a1),x3434,x3433),f12(x3434,x3432,x3433)) % 2.32/2.41 [346]E(f34(f5(x3461,x3462,a1),f9(x3462,x3463,x3464),x3464),f9(x3462,f34(x3461,x3463,x3464),x3464)) % 2.32/2.41 [347]E(f10(f19(x3471,x3472,x3473),f19(x3474,x3472,x3473),x3473),f19(f7(x3471,x3474,a1),x3472,x3473)) % 2.32/2.41 [348]E(f10(f21(x3481,x3482,x3483),f21(x3481,x3484,x3483),x3483),f21(x3481,f10(x3482,x3484,x3483),x3483)) % 2.32/2.41 [349]E(f34(f7(x3491,f8(a1),a1),f12(x3492,x3493,x3494),x3494),f12(x3492,f34(x3491,x3493,x3494),x3494)) % 2.32/2.41 [354]E(f35(f18(x3541,x3542,x3543,x3544),f39(x3544)),f35(x3541,f39(x3544))) % 2.32/2.41 [356]E(f10(f19(x3561,x3562,x3563),f19(x3564,x3562,x3563),x3563),f10(f19(x3564,x3562,x3563),f19(x3561,x3562,x3563),x3563)) % 2.32/2.41 [353]E(f9(x3531,f34(f7(x3532,x3531,a1),x3533,x3534),x3534),f34(x3532,f9(x3531,x3533,x3534),x3534)) % 2.32/2.41 [359]E(f12(x3591,f10(f19(x3592,x3591,x3593),x3594,x3593),x3593),f10(f19(x3592,x3591,x3593),f12(x3591,x3594,x3593),x3593)) % 2.32/2.41 [363]E(f10(f34(x3631,x3632,x3633),f34(f5(x3631,f35(x3632,f39(x3633)),a1),x3634,x3633),x3633),f34(x3631,f10(x3632,x3634,x3633),x3633)) % 2.32/2.41 [364]E(f10(f9(x3641,x3642,x3643),f9(f5(x3641,f35(x3642,f39(x3643)),a1),x3644,x3643),x3643),f9(x3641,f10(x3642,x3644,x3643),x3643)) % 2.32/2.41 [366]E(f18(f18(x3661,x3662,x3663,x3664),x3662,x3665,x3664),f18(x3661,x3662,x3665,x3664)) % 2.32/2.41 [358]E(f12(x3581,f12(x3582,f25(x3583,x3584,x3585),x3585),x3585),f25(f12(x3581,x3583,x3585),f12(x3582,x3584,x3585),x3585)) % 2.32/2.41 [362]E(f18(f10(x3621,f12(x3622,x3623,x3624),x3624),f35(x3621,f39(x3624)),x3625,x3624),f10(x3621,f12(x3625,x3623,x3624),x3624)) % 2.32/2.41 [367]E(f18(f12(x3671,x3672,x3673),f7(x3674,f8(a1),a1),x3675,x3673),f12(x3671,f18(x3672,x3674,x3675,x3673),x3673)) % 2.32/2.41 [399]~P39(x3991)+~E(f4(x3991),f8(x3991)) % 2.32/2.41 [400]~P2(x4001)+P14(f3(x4001),x4001) % 2.32/2.41 [413]E(x4131,f4(a1))+P12(f4(a1),x4131,a1) % 2.32/2.41 [442]~P1(x4421)+P12(f4(x4421),f8(x4421),x4421) % 2.32/2.41 [443]~P1(x4431)+P15(f4(x4431),f8(x4431),x4431) % 2.32/2.41 [479]~P1(x4791)+~P12(f8(x4791),f4(x4791),x4791) % 2.32/2.41 [480]~P1(x4801)+~P15(f8(x4801),f4(x4801),x4801) % 2.32/2.41 [447]~P5(x4471)+E(f7(f4(x4471),f4(x4471),x4471),f4(x4471)) % 2.32/2.41 [570]~P1(x5701)+P12(f4(x5701),f7(f8(x5701),f8(x5701),x5701),x5701) % 2.32/2.41 [623]~P12(f4(a1),x6231,a1)+E(f7(f5(x6231,f8(a1),a1),f8(a1),a1),x6231) % 2.32/2.41 [628]E(x6281,f4(a1))+~P12(x6281,f7(f4(a1),f8(a1),a1),a1) % 2.32/2.41 [748]~P12(f4(a1),x7481,a1)+E(f7(f5(x7481,f7(f4(a1),f8(a1),a1),a1),f8(a1),a1),x7481) % 2.32/2.41 [793]P40(a5000)+~P11(f12(a42,f12(a41,f12(x7931,f3(a37),a37),a37),a37),a37) % 2.32/2.41 [415]~P29(x4152)+P15(x4151,x4151,x4152) % 2.32/2.41 [416]~P30(x4162)+P15(x4161,x4161,x4162) % 2.32/2.41 [458]~P12(x4582,x4582,x4581)+~P2(x4581) % 2.32/2.41 [459]~P12(x4592,x4592,x4591)+~P29(x4591) % 2.32/2.41 [460]~P12(x4602,x4602,x4601)+~P30(x4601) % 2.32/2.41 [401]~P10(x4011,x4012)+E(x4011,f3(x4012)) % 2.32/2.41 [404]~E(f15(x4041,x4042),f3(x4042))+E(x4041,f3(x4042)) % 2.32/2.41 [405]~E(f16(x4051,x4052),f3(x4052))+E(x4051,f3(x4052)) % 2.32/2.41 [406]~E(f22(x4061,x4062),f3(x4062))+E(x4061,f3(x4062)) % 2.32/2.41 [407]~P11(x4071,x4072)+E(f16(x4071,x4072),x4071) % 2.32/2.41 [408]P11(x4081,x4082)+~E(f16(x4081,x4082),x4081) % 2.32/2.41 [417]~P2(x4172)+E(f36(x4171,x4171,x4172),x4171) % 2.32/2.41 [418]~P11(x4181,x4182)+P11(f15(x4181,x4182),x4182) % 2.32/2.41 [419]~P11(x4191,x4192)+P11(f22(x4191,x4192),x4192) % 2.32/2.42 [421]~P23(x4212)+E(f5(x4211,x4211,x4212),f4(x4212)) % 2.32/2.42 [422]~P18(x4222)+E(f5(x4221,x4221,x4222),f4(x4222)) % 2.32/2.42 [423]~P8(x4232)+E(f6(x4231,x4231,x4232),f4(x4232)) % 2.32/2.42 [445]P11(x4451,x4452)+~P11(f15(x4451,x4452),x4452) % 2.32/2.42 [446]P11(x4461,x4462)+~P11(f22(x4461,x4462),x4462) % 2.32/2.42 [451]~E(f7(x4512,x4511,a1),x4512)+E(x4511,f4(a1)) % 2.32/2.42 [452]E(x4521,f4(a1))+~E(f7(x4522,x4521,a1),f4(a1)) % 2.32/2.42 [453]E(x4531,f4(a1))+~E(f7(x4531,x4532,a1),f4(a1)) % 2.32/2.42 [504]~P12(x5041,x5042,a1)+E(f6(x5041,x5042,a1),x5041) % 2.32/2.42 [608]~P12(x6082,x6081,a1)+P12(f4(a1),f5(x6081,x6082,a1),a1) % 2.32/2.42 [609]P12(f6(x6091,x6092,a1),x6092,a1)+~P12(f4(a1),x6092,a1) % 2.32/2.42 [649]P12(x6491,x6492,a1)+~P12(f4(a1),f5(x6492,x6491,a1),a1) % 2.32/2.42 [409]E(x4091,f3(x4092))+~E(f35(x4091,f39(x4092)),f4(a1)) % 2.32/2.42 [411]E(x4111,f3(x4112))+E(f14(f15(x4111,x4112),x4112),f13(x4111,x4112)) % 2.32/2.42 [412]E(x4121,f3(x4122))+E(f13(f15(x4121,x4122),x4122),f14(x4121,x4122)) % 2.32/2.42 [424]~P33(x4242)+E(f38(x4241,f8(a1),x4242),x4241) % 2.32/2.42 [425]~P26(x4252)+E(f38(x4251,f8(a1),x4252),x4251) % 2.32/2.42 [426]~P6(x4262)+E(f7(x4261,f4(x4262),x4262),x4261) % 2.32/2.42 [427]~P33(x4272)+E(f7(x4271,f4(x4272),x4272),x4271) % 2.32/2.42 [428]~P27(x4282)+E(f7(x4281,f4(x4282),x4282),x4281) % 2.32/2.42 [429]~P23(x4292)+E(f5(x4291,f4(x4292),x4292),x4291) % 2.32/2.42 [430]~P8(x4302)+E(f6(x4301,f4(x4302),x4302),x4301) % 2.32/2.42 [431]~P6(x4311)+E(f7(f4(x4311),x4312,x4311),x4312) % 2.32/2.42 [433]~P33(x4331)+E(f7(f4(x4331),x4332,x4331),x4332) % 2.32/2.42 [434]~P27(x4341)+E(f7(f4(x4341),x4342,x4341),x4342) % 2.32/2.42 [435]~P33(x4352)+E(f38(x4351,f4(a1),x4352),f8(x4352)) % 2.32/2.42 [436]~P34(x4362)+E(f38(x4361,f4(a1),x4362),f8(x4362)) % 2.32/2.42 [438]~P8(x4382)+E(f6(x4381,f8(x4382),x4382),f4(x4382)) % 2.32/2.42 [439]~P26(x4391)+E(f38(f8(x4391),x4392,x4391),f8(x4391)) % 2.32/2.42 [440]~P8(x4401)+E(f6(f4(x4401),x4402,x4401),f4(x4401)) % 2.32/2.42 [469]E(x4691,f3(x4692))+P12(f4(a1),f35(x4691,f39(x4692)),a1) % 2.32/2.42 [481]E(x4811,f3(x4812))+E(f12(f26(x4811,x4812),f31(x4811,x4812),x4812),x4811) % 2.32/2.42 [482]E(x4821,f3(x4822))+E(f12(f27(x4821,x4822),f30(x4821,x4822),x4822),x4821) % 2.32/2.42 [483]E(x4831,f3(x4832))+E(f12(f32(x4831,x4832),f33(x4831,x4832),x4832),x4831) % 2.32/2.42 [498]E(f16(x4981,x4982),x4981)+~E(f35(f16(x4981,x4982),f39(x4982)),f35(x4981,f39(x4982))) % 2.32/2.42 [508]~P2(x5082)+P14(f12(x5081,f3(x5082),x5082),x5082) % 2.32/2.42 [536]E(x5361,f3(x5362))+E(f7(f35(f24(x5361,x5362),f39(x5362)),f8(a1),a1),f35(x5361,f39(x5362))) % 2.32/2.42 [561]~P1(x5612)+P12(x5611,f7(x5611,f8(x5612),x5612),x5612) % 2.32/2.42 [578]P12(x5782,x5781,a1)+E(f7(x5781,f5(x5782,x5781,a1),a1),x5782) % 2.32/2.42 [583]P12(x5831,x5832,a1)+P12(x5832,f7(x5831,f8(a1),a1),a1) % 2.32/2.42 [627]P12(x6271,x6272,a1)+E(f6(f5(x6271,x6272,a1),x6272,a1),f6(x6271,x6272,a1)) % 2.32/2.42 [689]~P12(x6891,x6892,a1)+~P12(x6892,f7(x6891,f8(a1),a1),a1) % 2.32/2.42 [735]E(x7351,f4(a1))+E(f7(f7(f5(x7351,f8(a1),a1),x7352,a1),f8(a1),a1),f7(x7351,x7352,a1)) % 2.32/2.42 [749]P12(x7491,x7492,a1)+~P12(f7(x7491,f8(a1),a1),f7(x7492,f8(a1),a1),a1) % 2.32/2.42 [629]E(x6291,f3(x6292))+E(f10(f24(x6291,x6292),f12(f13(x6291,x6292),f3(x6292),x6292),x6292),f22(x6291,x6292)) % 2.32/2.42 [732]~E(f7(f6(x7321,x7322,a1),f8(a1),a1),x7322)+E(f6(f7(x7321,f8(a1),a1),x7322,a1),f4(a1)) % 2.32/2.42 [747]~P12(f4(a1),x7471,a1)+P12(f5(x7471,f7(x7472,f8(a1),a1),a1),x7471,a1) % 2.32/2.42 [750]E(f7(f6(x7501,x7502,a1),f8(a1),a1),x7502)+E(f6(f7(x7501,f8(a1),a1),x7502,a1),f7(f6(x7501,x7502,a1),f8(a1),a1)) % 2.32/2.42 [781]E(x7811,f3(x7812))+E(f10(f34(f5(f35(x7811,f39(x7812)),f8(a1),a1),x7811,x7812),f12(f14(x7811,x7812),f3(x7812),x7812),x7812),x7811) % 2.32/2.42 [787]E(x7871,x7872)+P11(f12(x7871,f12(x7872,f12(f45(x7871,x7872),f3(a37),a37),a37),a37),a37) % 2.32/2.42 [788]E(x7881,x7882)+P11(f12(x7881,f12(x7882,f12(f46(x7881,x7882),f3(a37),a37),a37),a37),a37) % 2.32/2.42 [410]E(x4101,x4102)+~E(f15(x4101,x4103),f15(x4102,x4103)) % 2.32/2.42 [456]~E(f10(x4563,x4561,x4562),x4563)+E(x4561,f3(x4562)) % 2.32/2.42 [457]~E(f10(x4571,x4573,x4572),x4573)+E(x4571,f3(x4572)) % 2.32/2.42 [462]~E(f19(x4621,x4622,x4623),f3(x4623))+E(x4621,f4(a1)) % 2.32/2.42 [466]~E(f10(x4663,x4661,x4662),f3(x4662))+E(x4661,f3(x4662)) % 2.32/2.42 [467]~E(f23(x4673,x4671,x4672),f3(x4672))+E(x4671,f3(x4672)) % 2.32/2.42 [468]~E(f10(x4681,x4683,x4682),f3(x4682))+E(x4681,f3(x4682)) % 2.32/2.42 [484]~P6(x4843)+E(f7(x4841,x4842,x4843),f7(x4842,x4841,x4843)) % 2.32/2.42 [486]~P33(x4863)+E(f7(x4861,x4862,x4863),f7(x4862,x4861,x4863)) % 2.32/2.42 [487]~P2(x4873)+E(f36(x4871,x4872,x4873),f36(x4872,x4871,x4873)) % 2.32/2.42 [503]~P11(x5032,x5033)+E(f21(x5031,x5032,x5033),f20(x5031,x5032,x5033)) % 2.32/2.42 [509]~P11(x5092,x5093)+P11(f34(x5091,x5092,x5093),x5093) % 2.32/2.42 [510]~P11(x5102,x5103)+P11(f9(x5101,x5102,x5103),x5103) % 2.32/2.42 [511]~P11(x5112,x5113)+P11(f23(x5111,x5112,x5113),x5113) % 2.32/2.42 [512]~P11(x5122,x5123)+P11(f20(x5121,x5122,x5123),x5123) % 2.32/2.42 [530]E(x5301,x5302)+~E(f7(x5303,x5301,a1),f7(x5303,x5302,a1)) % 2.32/2.42 [531]E(x5311,x5312)+~E(f7(x5311,x5313,a1),f7(x5312,x5313,a1)) % 2.32/2.42 [532]~P2(x5323)+P15(f36(x5321,x5322,x5323),x5322,x5323) % 2.32/2.42 [533]~P2(x5333)+P15(f36(x5331,x5332,x5333),x5331,x5333) % 2.32/2.42 [573]P11(x5731,x5732)+~P11(f10(x5733,x5731,x5732),x5732) % 2.32/2.42 [574]P11(x5741,x5742)+~P11(f10(x5741,x5743,x5742),x5742) % 2.32/2.42 [575]P11(x5751,x5752)+~P11(f23(x5753,x5751,x5752),x5752) % 2.32/2.42 [576]P11(x5761,x5762)+~P11(f12(x5763,x5761,x5762),x5762) % 2.32/2.42 [603]~P12(x6031,x6033,a1)+P12(x6031,f7(x6032,x6033,a1),a1) % 2.32/2.42 [605]~P12(x6051,x6052,a1)+P12(x6051,f7(x6052,x6053,a1),a1) % 2.32/2.42 [606]~P12(x6061,x6063,a1)+P12(f5(x6061,x6062,a1),x6063,a1) % 2.32/2.42 [645]P12(x6451,x6452,a1)+~P12(f7(x6451,x6453,a1),x6452,a1) % 2.32/2.42 [694]~P12(x6941,x6943,a1)+P12(f7(x6941,x6942,a1),f7(x6943,x6942,a1),a1) % 2.32/2.42 [695]~P12(x6952,x6953,a1)+P12(f7(x6951,x6952,a1),f7(x6951,x6953,a1),a1) % 2.32/2.42 [728]~P12(f7(x7281,x7283,a1),x7282,a1)+P12(x7281,f5(x7282,x7283,a1),a1) % 2.32/2.42 [729]~P12(x7291,f5(x7293,x7292,a1),a1)+P12(f7(x7291,x7292,a1),x7293,a1) % 2.32/2.42 [746]P12(x7461,x7462,a1)+~P12(f7(x7463,x7461,a1),f7(x7463,x7462,a1),a1) % 2.32/2.42 [499]E(x4991,f4(a1))+E(f14(f19(x4991,x4992,x4993),x4993),x4992) % 2.32/2.42 [500]E(x5001,f4(a1))+E(f13(f19(x5001,x5002,x5003),x5003),x5002) % 2.32/2.42 [505]E(x5051,f3(x5052))+E(f14(f10(x5053,x5051,x5052),x5052),f14(x5051,x5052)) % 2.32/2.42 [506]E(x5061,f3(x5062))+E(f14(f12(x5063,x5061,x5062),x5062),f14(x5061,x5062)) % 2.32/2.42 [507]E(x5071,f3(x5072))+E(f13(f10(x5071,x5073,x5072),x5072),f13(x5071,x5072)) % 2.32/2.42 [534]~P23(x5343)+E(f7(f5(x5341,x5342,x5343),x5342,x5343),x5341) % 2.32/2.42 [535]~P23(x5353)+E(f5(f7(x5351,x5352,x5353),x5352,x5353),x5351) % 2.32/2.42 [546]~E(f15(x5461,x5463),f12(x5462,f3(x5463),x5463))+E(x5461,f12(x5462,f3(x5463),x5463)) % 2.32/2.42 [547]~E(f12(x5472,f3(x5473),x5473),f15(x5471,x5473))+E(x5471,f12(x5472,f3(x5473),x5473)) % 2.32/2.42 [577]E(x5771,f3(x5772))+E(f10(f24(x5771,x5772),x5773,x5772),f24(f10(x5771,x5773,x5772),x5772)) % 2.32/2.42 [585]~P2(x5853)+E(f36(x5851,f36(x5851,x5852,x5853),x5853),f36(x5851,x5852,x5853)) % 2.32/2.42 [586]~P8(x5863)+E(f6(f7(x5861,x5862,x5863),x5862,x5863),f6(x5861,x5862,x5863)) % 2.32/2.42 [587]~P8(x5873)+E(f6(f7(x5871,x5872,x5873),x5871,x5873),f6(x5872,x5871,x5873)) % 2.32/2.42 [588]~P8(x5883)+E(f6(f6(x5881,x5882,x5883),x5882,x5883),f6(x5881,x5882,x5883)) % 2.32/2.42 [639]~P12(x6391,f35(x6392,f39(x6393)),a1)+E(f14(f9(x6391,x6392,x6393),x6393),f14(x6392,x6393)) % 2.32/2.42 [571]E(f23(x5711,x5712,x5713),x5712)+~E(f6(x5711,f35(x5712,f39(x5713)),a1),f4(a1)) % 2.32/2.42 [640]E(x6401,f4(a1))+E(f24(f19(x6401,x6402,x6403),x6403),f19(f5(x6401,f8(a1),a1),x6402,x6403)) % 2.32/2.42 [730]E(x7301,f3(x7302))+E(f12(f13(x7301,x7302),f34(x7303,f24(x7301,x7302),x7302),x7302),f34(f7(x7303,f8(a1),a1),x7301,x7302)) % 2.32/2.42 [791]~P12(x7911,f35(x7912,f39(x7913)),a1)+E(f10(f34(x7911,x7912,x7913),f12(f13(f9(x7911,x7912,x7913),x7913),f3(x7913),x7913),x7913),f34(f7(x7911,f8(a1),a1),x7912,x7913)) % 2.32/2.42 [725]~E(f34(f35(x7251,f39(x7252)),x7253,x7252),x7251)+E(f10(x7251,f9(f35(x7251,f39(x7252)),x7253,x7252),x7252),x7253) % 2.32/2.42 [783]~P12(x7831,f35(x7832,f39(x7833)),a1)+E(f34(x7831,f34(f5(f35(x7832,f39(x7833)),f8(a1),a1),x7832,x7833),x7833),f34(x7831,x7832,x7833)) % 2.32/2.42 [786]E(x7861,f3(x7862))+E(f14(f18(x7861,f5(f35(x7861,f39(x7862)),f8(a1),a1),x7863,x7862),x7862),x7863) % 2.32/2.42 [796]E(x7961,f3(x7962))+E(f34(f5(f35(f10(x7963,x7961,x7962),f39(x7962)),f8(a1),a1),f10(x7963,x7961,x7962),x7962),f10(x7963,f34(f5(f35(x7961,f39(x7962)),f8(a1),a1),x7961,x7962),x7962)) % 2.32/2.42 [797]E(x7971,f3(x7972))+E(f34(f5(f35(f12(x7973,x7971,x7972),f39(x7972)),f8(a1),a1),f12(x7973,x7971,x7972),x7972),f12(x7973,f34(f5(f35(x7971,f39(x7972)),f8(a1),a1),x7971,x7972),x7972)) % 2.32/2.42 [538]E(x5381,x5382)+~E(f10(x5383,x5381,x5384),f10(x5383,x5382,x5384)) % 2.32/2.42 [539]E(x5391,x5392)+~E(f10(x5391,x5393,x5394),f10(x5392,x5393,x5394)) % 2.32/2.42 [611]~P13(x6111,x6113,x6114)+P13(x6111,f12(x6112,x6113,x6114),x6114) % 2.32/2.42 [726]~E(f18(x7261,x7263,x7264,x7262),f3(x7262))+E(x7261,f3(x7262)) % 2.32/2.42 [582]~E(f11(x5821,a1),f4(a1))+E(f34(f11(x5821,a1),f12(x5822,x5823,x5824),x5824),f3(x5824)) % 2.32/2.42 [626]~E(f11(x6261,a1),f4(a1))+E(f9(f11(x6261,a1),f12(x6262,x6263,x6264),x6264),f12(x6262,x6263,x6264)) % 2.32/2.42 [666]E(x6661,x6662)+E(f20(x6661,f12(x6662,x6663,x6664),x6664),f12(x6662,f20(x6661,x6663,x6664),x6664)) % 2.32/2.42 [667]E(x6671,x6672)+E(f21(x6671,f12(x6672,x6673,x6674),x6674),f12(x6672,f21(x6671,x6673,x6674),x6674)) % 2.32/2.42 [671]~P6(x6714)+E(f7(x6711,f7(x6712,x6713,x6714),x6714),f7(x6712,f7(x6711,x6713,x6714),x6714)) % 2.32/2.42 [672]~P18(x6724)+E(f7(x6721,f7(x6722,x6723,x6724),x6724),f7(x6722,f7(x6721,x6723,x6724),x6724)) % 2.32/2.42 [673]~P33(x6734)+E(f7(x6731,f7(x6732,x6733,x6734),x6734),f7(x6732,f7(x6731,x6733,x6734),x6734)) % 2.32/2.42 [674]~P2(x6744)+E(f36(x6741,f36(x6742,x6743,x6744),x6744),f36(x6742,f36(x6741,x6743,x6744),x6744)) % 2.32/2.42 [677]~P6(x6773)+E(f7(f7(x6771,x6772,x6773),x6774,x6773),f7(x6771,f7(x6772,x6774,x6773),x6773)) % 2.32/2.42 [678]~P33(x6783)+E(f7(f7(x6781,x6782,x6783),x6784,x6783),f7(x6781,f7(x6782,x6784,x6783),x6783)) % 2.32/2.42 [679]~P20(x6793)+E(f7(f7(x6791,x6792,x6793),x6794,x6793),f7(x6791,f7(x6792,x6794,x6793),x6793)) % 2.32/2.42 [680]~P2(x6803)+E(f36(f36(x6801,x6802,x6803),x6804,x6803),f36(x6801,f36(x6802,x6804,x6803),x6803)) % 2.32/2.42 [681]~P33(x6813)+E(f7(f7(x6811,x6812,x6813),x6814,x6813),f7(f7(x6811,x6814,x6813),x6812,x6813)) % 2.32/2.42 [736]~P24(x7363)+E(f36(f7(x7361,x7362,x7363),f7(x7364,x7362,x7363),x7363),f7(f36(x7361,x7364,x7363),x7362,x7363)) % 2.32/2.42 [737]~P25(x7373)+E(f36(f5(x7371,x7372,x7373),f5(x7374,x7372,x7373),x7373),f5(f36(x7371,x7374,x7373),x7372,x7373)) % 2.32/2.42 [650]~E(f15(x6501,x6503),f12(x6504,x6502,x6503))+E(x6501,f10(f15(x6502,x6503),f12(x6504,f3(x6503),x6503),x6503)) % 2.32/2.42 [670]E(x6701,f4(a1))+E(f9(x6701,f12(x6702,x6703,x6704),x6704),f9(f5(x6701,f8(a1),a1),x6703,x6704)) % 2.32/2.42 [758]~P9(x7584)+E(f6(f5(x7581,f6(x7582,x7583,x7584),x7584),x7583,x7584),f6(f5(x7581,x7582,x7584),x7583,x7584)) % 2.32/2.42 [760]~P9(x7603)+E(f6(f5(f6(x7601,x7602,x7603),x7604,x7603),x7602,x7603),f6(f5(x7601,x7604,x7603),x7602,x7603)) % 2.32/2.42 [761]~P8(x7614)+E(f6(f7(x7611,f6(x7612,x7613,x7614),x7614),x7613,x7614),f6(f7(x7611,x7612,x7614),x7613,x7614)) % 2.32/2.42 [762]~P8(x7623)+E(f6(f7(f6(x7621,x7622,x7623),x7624,x7623),x7622,x7623),f6(f7(x7621,x7624,x7623),x7622,x7623)) % 2.32/2.42 [784]~P8(x7843)+E(f6(f7(f6(x7841,x7842,x7843),f6(x7844,x7842,x7843),x7843),x7842,x7843),f6(f7(x7841,x7844,x7843),x7842,x7843)) % 2.32/2.42 [785]~P9(x7853)+E(f6(f5(f6(x7851,x7852,x7853),f6(x7854,x7852,x7853),x7853),x7852,x7853),f6(f5(x7851,x7854,x7853),x7852,x7853)) % 2.32/2.42 [799]~P12(x7993,f35(x7991,f39(x7992)),a1)+E(f18(f15(x7991,x7992),f5(f5(f35(x7991,f39(x7992)),x7993,a1),f8(a1),a1),x7994,x7992),f15(f18(x7991,x7993,x7994,x7992),x7992)) % 2.32/2.42 [764]E(x7641,f4(a1))+E(f12(x7642,f34(f5(x7641,f8(a1),a1),x7643,x7644),x7644),f34(x7641,f12(x7642,x7643,x7644),x7644)) % 2.32/2.42 [780]E(x7801,f3(x7802))+E(f12(x7803,f12(f13(x7801,x7802),f25(x7804,f24(x7801,x7802),x7802),x7802),x7802),f25(f12(x7803,x7804,x7802),x7801,x7802)) % 2.32/2.42 [810]E(x8101,f5(f35(x8102,f39(x8103)),f8(a1),a1))+E(f34(f5(f35(f18(x8102,x8101,x8104,x8103),f39(x8103)),f8(a1),a1),f18(x8102,x8101,x8104,x8103),x8103),f18(f34(f5(f35(x8102,f39(x8103)),f8(a1),a1),x8102,x8103),x8101,x8104,x8103)) % 2.32/2.42 [795]~P12(x7951,f35(x7952,f39(x7953)),a1)+E(f10(f34(x7951,x7952,x7953),f12(x7954,f9(f7(x7951,f8(a1),a1),x7952,x7953),x7953),x7953),f18(x7952,x7951,x7954,x7953)) % 2.32/2.42 [537]E(x5371,x5372)+~E(f12(x5373,x5371,x5374),f12(x5375,x5372,x5374)) % 2.32/2.42 [540]E(x5401,x5402)+~E(f12(x5401,x5403,x5404),f12(x5402,x5405,x5404)) % 2.32/2.42 [541]E(x5411,x5412)+~E(f19(x5411,x5413,x5414),f19(x5412,x5415,x5414)) % 2.32/2.42 [763]~P33(x7633)+E(f7(f7(x7631,x7632,x7633),f7(x7634,x7635,x7633),x7633),f7(f7(x7631,x7634,x7633),f7(x7632,x7635,x7633),x7633)) % 2.32/2.42 [790]~P12(x7904,f35(x7901,f39(x7903)),a1)+E(f18(f10(x7901,x7902,x7903),x7904,x7905,x7903),f10(f18(x7901,x7904,x7905,x7903),x7902,x7903)) % 2.32/2.42 [766]E(x7661,x7662)+~E(f10(x7663,f12(x7661,f3(x7664),x7664),x7664),f10(x7665,f12(x7662,f3(x7664),x7664),x7664)) % 2.32/2.42 [767]E(x7671,x7672)+~E(f10(x7671,f12(x7673,f3(x7674),x7674),x7674),f10(x7672,f12(x7675,f3(x7674),x7674),x7674)) % 2.32/2.42 [798]P12(x7983,f35(x7981,f39(x7984)),a1)+E(f10(x7981,f18(x7982,f5(x7983,f35(x7981,f39(x7984)),a1),x7985,x7984),x7984),f18(f10(x7981,x7982,x7984),x7983,x7985,x7984)) % 2.32/2.42 [800]E(x8001,x8002)+E(f18(f18(x8003,x8001,x8004,x8005),x8002,x8006,x8005),f18(f18(x8003,x8002,x8006,x8005),x8001,x8004,x8005)) % 2.32/2.42 [565]~P3(x5651)+~P15(f4(x5651),f4(x5651),x5651)+E(f7(f4(x5651),f4(x5651),x5651),f4(x5651)) % 2.32/2.42 [478]E(x4781,x4782)+P12(x4782,x4781,a1)+P12(x4781,x4782,a1) % 2.32/2.42 [437]~P2(x4372)+~P14(x4371,x4372)+P14(f16(x4371,x4372),x4372) % 2.32/2.42 [441]~P32(x4412)+~P17(x4412)+E(f5(x4411,x4411,x4412),f4(x4412)) % 2.32/2.42 [474]~P5(x4742)+~E(f7(x4741,x4741,x4742),f4(x4742))+E(x4741,f4(x4742)) % 2.32/2.42 [542]E(x5421,x5422)+~E(f5(x5422,x5421,a1),f4(a1))+~E(f5(x5421,x5422,a1),f4(a1)) % 2.32/2.42 [631]~P5(x6311)+~P12(f4(x6311),x6312,x6311)+P12(f4(x6311),f7(x6312,x6312,x6311),x6311) % 2.32/2.42 [634]~P5(x6341)+~P15(f4(x6341),x6342,x6341)+P15(f4(x6341),f7(x6342,x6342,x6341),x6341) % 2.32/2.42 [635]~P5(x6352)+~P12(x6351,f4(x6352),x6352)+P12(f7(x6351,x6351,x6352),f4(x6352),x6352) % 2.32/2.42 [636]~P31(x6362)+~P12(x6361,f4(x6362),x6362)+P12(f7(x6361,x6361,x6362),f4(x6362),x6362) % 2.32/2.42 [637]~P5(x6372)+~P15(x6371,f4(x6372),x6372)+P15(f7(x6371,x6371,x6372),f4(x6372),x6372) % 2.32/2.42 [683]~P5(x6832)+~P12(f7(x6831,x6831,x6832),f4(x6832),x6832)+P12(x6831,f4(x6832),x6832) % 2.32/2.42 [684]~P31(x6842)+~P12(f7(x6841,x6841,x6842),f4(x6842),x6842)+P12(x6841,f4(x6842),x6842) % 2.32/2.42 [685]~P5(x6852)+~P15(f7(x6851,x6851,x6852),f4(x6852),x6852)+P15(x6851,f4(x6852),x6852) % 2.32/2.42 [686]~P5(x6861)+~P12(f4(x6861),f7(x6862,x6862,x6861),x6861)+P12(f4(x6861),x6862,x6861) % 2.32/2.42 [687]~P5(x6871)+~P15(f4(x6871),f7(x6872,x6872,x6871),x6871)+P15(f4(x6871),x6872,x6871) % 2.32/2.42 [688]P12(f5(x6881,x6882,a1),x6881,a1)+~P12(f4(a1),x6882,a1)+~P12(f4(a1),x6881,a1) % 2.32/2.42 [714]P12(f4(a1),x7141,a1)+P12(f4(a1),x7142,a1)+~P12(f4(a1),f7(x7141,x7142,a1),a1) % 2.32/2.42 [444]~P32(x4442)+~P17(x4442)+E(f7(x4441,f4(x4442),x4442),x4441) % 2.32/2.42 [566]E(x5661,f4(a1))+E(x5662,f4(a1))+~E(f7(x5662,x5661,a1),f7(f4(a1),f8(a1),a1)) % 2.32/2.42 [567]E(x5671,f4(a1))+E(x5672,f4(a1))+~E(f7(f4(a1),f8(a1),a1),f7(x5672,x5671,a1)) % 2.32/2.42 [598]E(x5981,f4(a1))+E(x5981,f7(f4(a1),f8(a1),a1))+~E(f7(x5982,x5981,a1),f7(f4(a1),f8(a1),a1)) % 2.32/2.42 [599]E(x5991,f4(a1))+E(x5991,f7(f4(a1),f8(a1),a1))+~E(f7(x5991,x5992,a1),f7(f4(a1),f8(a1),a1)) % 2.32/2.42 [600]E(x6001,f4(a1))+E(x6001,f7(f4(a1),f8(a1),a1))+~E(f7(f4(a1),f8(a1),a1),f7(x6002,x6001,a1)) % 2.32/2.42 [601]E(x6011,f4(a1))+E(x6011,f7(f4(a1),f8(a1),a1))+~E(f7(f4(a1),f8(a1),a1),f7(x6011,x6012,a1)) % 2.32/2.42 [643]E(x6431,f7(f4(a1),f8(a1),a1))+E(x6432,f7(f4(a1),f8(a1),a1))+~E(f7(x6432,x6431,a1),f7(f4(a1),f8(a1),a1)) % 2.32/2.42 [644]E(x6441,f7(f4(a1),f8(a1),a1))+E(x6442,f7(f4(a1),f8(a1),a1))+~E(f7(f4(a1),f8(a1),a1),f7(x6442,x6441,a1)) % 2.32/2.42 [648]~P12(x6481,x6482,a1)+P12(f7(x6481,f8(a1),a1),x6482,a1)+E(f7(x6481,f8(a1),a1),x6482) % 2.32/2.42 [653]E(x6531,x6532)+P12(x6532,x6531,a1)+~P12(x6532,f7(x6531,f8(a1),a1),a1) % 2.32/2.42 [655]E(x6551,x6552)+P12(x6551,x6552,a1)+~P12(x6551,f7(x6552,f8(a1),a1),a1) % 2.32/2.42 [569]~P37(x5691)+~P34(x5691)+E(f38(f4(x5691),f7(x5692,f8(a1),a1),x5691),f4(x5691)) % 2.32/2.42 [490]P15(x4902,x4901,x4903)+~P2(x4903)+P12(x4901,x4902,x4903) % 2.32/2.42 [492]P15(x4922,x4921,x4923)+~P2(x4923)+P15(x4921,x4922,x4923) % 2.32/2.42 [513]~P29(x5133)+~P12(x5131,x5132,x5133)+P15(x5131,x5132,x5133) % 2.32/2.42 [514]~P30(x5143)+~P12(x5141,x5142,x5143)+P15(x5141,x5142,x5143) % 2.32/2.42 [548]~P12(x5483,x5482,x5481)+~P2(x5481)+~P12(x5482,x5483,x5481) % 2.32/2.42 [550]~P15(x5503,x5502,x5501)+~P2(x5501)+~P12(x5502,x5503,x5501) % 2.32/2.42 [553]~P12(x5533,x5532,x5531)+~P29(x5531)+~P12(x5532,x5533,x5531) % 2.32/2.42 [554]~P15(x5543,x5542,x5541)+~P29(x5541)+~P12(x5542,x5543,x5541) % 2.32/2.42 [555]~P12(x5553,x5552,x5551)+~P30(x5551)+~P12(x5552,x5553,x5551) % 2.32/2.42 [470]~E(f34(x4703,x4701,x4702),f3(x4702))+E(x4701,f3(x4702))+E(x4703,f4(a1)) % 2.32/2.42 [471]~P23(x4713)+E(x4711,x4712)+~E(f5(x4711,x4712,x4713),f4(x4713)) % 2.32/2.42 [472]~P18(x4723)+E(x4721,x4722)+~E(f5(x4721,x4722,x4723),f4(x4723)) % 2.32/2.42 [473]~P38(x4732)+~E(f38(x4731,x4733,x4732),f4(x4732))+E(x4731,f4(x4732)) % 2.32/2.42 [515]~P2(x5153)+~P15(x5152,x5151,x5153)+E(f36(x5151,x5152,x5153),x5152) % 2.32/2.42 [516]~P2(x5163)+~P15(x5161,x5162,x5163)+E(f36(x5161,x5162,x5163),x5161) % 2.32/2.42 [517]~P2(x5173)+P15(x5171,x5172,x5173)+~E(f36(x5171,x5172,x5173),x5171) % 2.32/2.42 [526]~P2(x5263)+~P14(x5262,x5263)+P14(f34(x5261,x5262,x5263),x5263) % 2.32/2.42 [527]~P2(x5273)+~P14(x5272,x5273)+P14(f9(x5271,x5272,x5273),x5273) % 2.32/2.42 [528]~P2(x5283)+~P14(x5282,x5283)+P14(f20(x5281,x5282,x5283),x5283) % 2.32/2.42 [579]~P2(x5792)+P14(x5791,x5792)+~P14(f10(x5793,x5791,x5792),x5792) % 2.32/2.42 [580]~P2(x5802)+P14(x5801,x5802)+~P14(f10(x5801,x5803,x5802),x5802) % 2.32/2.42 [581]~P2(x5812)+P14(x5811,x5812)+~P14(f12(x5813,x5811,x5812),x5812) % 2.32/2.42 [624]~P25(x6243)+~P12(x6241,x6242,x6243)+P12(f5(x6241,x6242,x6243),f4(x6243),x6243) % 2.32/2.42 [625]~P25(x6253)+~P15(x6251,x6252,x6253)+P15(f5(x6251,x6252,x6253),f4(x6253),x6253) % 2.32/2.42 [630]~P1(x6301)+~P12(f4(x6301),x6302,x6301)+P12(f4(x6301),f38(x6302,x6303,x6301),x6301) % 2.32/2.42 [632]~P1(x6321)+~P15(f8(x6321),x6322,x6321)+P15(f8(x6321),f38(x6322,x6323,x6321),x6321) % 2.32/2.42 [633]~P1(x6331)+~P15(f4(x6331),x6332,x6331)+P15(f4(x6331),f38(x6332,x6333,x6331),x6331) % 2.32/2.42 [668]~P25(x6683)+P12(x6681,x6682,x6683)+~P12(f5(x6681,x6682,x6683),f4(x6683),x6683) % 2.32/2.42 [669]~P25(x6693)+P15(x6691,x6692,x6693)+~P15(f5(x6691,x6692,x6693),f4(x6693),x6693) % 2.32/2.42 [734]~P12(x7343,x7342,a1)+~P12(x7343,x7341,a1)+P12(f5(x7341,x7342,a1),f5(x7341,x7343,a1),a1) % 2.32/2.42 [682]~P12(x6821,x6823,a1)+~P12(x6823,x6822,a1)+P12(f7(x6821,f8(a1),a1),x6822,a1) % 2.32/2.42 [755]~P1(x7551)+~P12(f8(x7551),x7552,x7551)+P12(f8(x7551),f38(x7552,f7(x7553,f8(a1),a1),x7551),x7551) % 2.32/2.42 [556]~P21(x5564)+E(x5561,x5562)+~E(f7(x5563,x5561,x5564),f7(x5563,x5562,x5564)) % 2.32/2.42 [557]~P22(x5574)+E(x5571,x5572)+~E(f7(x5573,x5571,x5574),f7(x5573,x5572,x5574)) % 2.32/2.42 [558]~P18(x5584)+E(x5581,x5582)+~E(f5(x5583,x5583,x5584),f5(x5581,x5582,x5584)) % 2.32/2.42 [559]~P22(x5594)+E(x5591,x5592)+~E(f7(x5591,x5593,x5594),f7(x5592,x5593,x5594)) % 2.32/2.42 [560]~P18(x5603)+E(x5601,x5602)+~E(f5(x5601,x5602,x5603),f5(x5604,x5604,x5603)) % 2.32/2.42 [615]~P2(x6153)+~P12(x6152,x6154,x6153)+P12(f36(x6151,x6152,x6153),x6154,x6153) % 2.32/2.42 [617]~P2(x6173)+~P12(x6171,x6174,x6173)+P12(f36(x6171,x6172,x6173),x6174,x6173) % 2.32/2.42 [619]~P2(x6193)+~P15(x6192,x6194,x6193)+P15(f36(x6191,x6192,x6193),x6194,x6193) % 2.32/2.42 [621]~P2(x6213)+~P15(x6211,x6214,x6213)+P15(f36(x6211,x6212,x6213),x6214,x6213) % 2.32/2.42 [647]~P12(x6474,x6473,a1)+P12(x6471,x6472,a1)+~E(f7(x6471,x6473,a1),f7(x6474,x6472,a1)) % 2.32/2.42 [652]E(x6521,x6522)+P13(x6521,x6523,x6524)+~P13(x6521,f12(x6522,x6523,x6524),x6524) % 2.32/2.42 [656]~P2(x6563)+P12(x6561,x6562,x6563)+~P12(x6561,f36(x6564,x6562,x6563),x6563) % 2.32/2.42 [657]~P2(x6573)+P12(x6571,x6572,x6573)+~P12(x6571,f36(x6572,x6574,x6573),x6573) % 2.32/2.42 [659]~P2(x6593)+P15(x6591,x6592,x6593)+~P15(x6591,f36(x6594,x6592,x6593),x6593) % 2.32/2.42 [661]~P2(x6613)+P15(x6611,x6612,x6613)+~P15(x6611,f36(x6612,x6614,x6613),x6613) % 2.32/2.42 [706]~P4(x7063)+~P12(x7061,x7064,x7063)+P12(f7(x7061,x7062,x7063),f7(x7064,x7062,x7063),x7063) % 2.32/2.42 [707]~P24(x7073)+~P12(x7071,x7074,x7073)+P12(f7(x7071,x7072,x7073),f7(x7074,x7072,x7073),x7073) % 2.32/2.42 [708]~P4(x7083)+~P12(x7082,x7084,x7083)+P12(f7(x7081,x7082,x7083),f7(x7081,x7084,x7083),x7083) % 2.32/2.42 [709]~P24(x7093)+~P12(x7092,x7094,x7093)+P12(f7(x7091,x7092,x7093),f7(x7091,x7094,x7093),x7093) % 2.32/2.42 [710]~P24(x7103)+~P15(x7101,x7104,x7103)+P15(f7(x7101,x7102,x7103),f7(x7104,x7102,x7103),x7103) % 2.32/2.42 [711]~P28(x7113)+~P15(x7111,x7114,x7113)+P15(f7(x7111,x7112,x7113),f7(x7114,x7112,x7113),x7113) % 2.32/2.42 [712]~P24(x7123)+~P15(x7122,x7124,x7123)+P15(f7(x7121,x7122,x7123),f7(x7121,x7124,x7123),x7123) % 2.32/2.42 [713]~P28(x7133)+~P15(x7132,x7134,x7133)+P15(f7(x7131,x7132,x7133),f7(x7131,x7134,x7133),x7133) % 2.32/2.42 [733]~P12(x7332,x7334,a1)+~P12(x7331,x7333,a1)+P12(f7(x7331,x7332,a1),f7(x7333,x7334,a1),a1) % 2.32/2.42 [751]~P24(x7513)+P12(x7511,x7512,x7513)+~P12(f7(x7514,x7511,x7513),f7(x7514,x7512,x7513),x7513) % 2.32/2.42 [752]~P24(x7523)+P12(x7521,x7522,x7523)+~P12(f7(x7521,x7524,x7523),f7(x7522,x7524,x7523),x7523) % 2.32/2.42 [753]~P24(x7533)+P15(x7531,x7532,x7533)+~P15(f7(x7534,x7531,x7533),f7(x7534,x7532,x7533),x7533) % 2.32/2.42 [754]~P24(x7543)+P15(x7541,x7542,x7543)+~P15(f7(x7541,x7544,x7543),f7(x7542,x7544,x7543),x7543) % 2.32/2.42 [773]~P2(x7733)+P15(x7731,x7732,x7733)+~P14(f12(x7731,f12(x7732,x7734,x7733),x7733),x7733) % 2.32/2.42 [775]E(x7751,f3(x7752))+E(f14(f18(x7751,x7753,x7754,x7752),x7752),f14(x7751,x7752))+E(x7753,f5(f35(x7751,f39(x7752)),f8(a1),a1)) % 2.32/2.42 [543]E(x5431,x5432)+~E(f19(x5433,x5431,x5434),f19(x5435,x5432,x5434))+E(x5433,f4(a1)) % 2.32/2.42 [727]~P18(x7273)+E(f7(x7271,x7272,x7273),x7274)+~E(f7(x7271,f7(x7275,x7272,x7273),x7273),f7(x7275,x7274,x7273)) % 2.32/2.42 [802]~E(f12(x8023,x8024,x8022),f10(x8021,x8025,x8022))+E(x8021,f3(x8022))+E(f12(x8023,f28(x8023,x8024,x8021,x8025,x8022),x8022),x8021) % 2.32/2.42 [803]~E(f12(x8033,x8034,x8032),f10(x8031,x8035,x8032))+E(x8031,f3(x8032))+E(f10(f29(x8033,x8034,x8031,x8035,x8032),x8035,x8032),x8034) % 2.32/2.42 [804]~E(f12(x8043,x8044,x8042),f10(x8041,x8045,x8042))+E(x8041,f3(x8042))+E(f12(x8043,f29(x8043,x8044,x8041,x8045,x8042),x8042),x8041) % 2.32/2.42 [805]~E(f12(x8053,x8054,x8052),f10(x8051,x8055,x8052))+E(x8051,f3(x8052))+E(f10(f28(x8053,x8054,x8051,x8055,x8052),x8055,x8052),x8054) % 2.32/2.42 [806]~E(f12(x8062,x8063,x8064),f10(x8065,x8061,x8064))+E(x8061,f12(x8062,x8063,x8064))+E(f12(x8062,f28(x8062,x8063,x8065,x8061,x8064),x8064),x8065) % 2.32/2.42 [807]~E(f12(x8072,x8073,x8074),f10(x8075,x8071,x8074))+E(x8071,f12(x8072,x8073,x8074))+E(f10(f28(x8072,x8073,x8075,x8071,x8074),x8071,x8074),x8073) % 2.32/2.42 [808]~E(f12(x8081,x8082,x8083),f10(x8085,x8084,x8083))+E(f12(x8081,x8082,x8083),x8084)+E(f10(f29(x8081,x8082,x8085,x8084,x8083),x8084,x8083),x8082) % 2.32/2.42 [809]~E(f12(x8091,x8092,x8093),f10(x8095,x8094,x8093))+E(f12(x8091,x8092,x8093),x8094)+E(f12(x8091,f29(x8091,x8092,x8095,x8094,x8093),x8093),x8095) % 2.32/2.42 [449]~P37(x4492)+~P34(x4492)+E(x4491,f4(a1))+E(f38(f4(x4492),x4491,x4492),f4(x4492)) % 2.32/2.42 [496]P12(x4961,x4962,x4963)+~P2(x4963)+E(x4961,x4962)+P12(x4962,x4961,x4963) % 2.32/2.42 [497]P12(x4971,x4972,x4973)+~P31(x4973)+E(x4971,x4972)+P12(x4972,x4971,x4973) % 2.32/2.42 [519]~P2(x5193)+~P15(x5191,x5192,x5193)+E(x5191,x5192)+P12(x5191,x5192,x5193) % 2.32/2.42 [525]~P30(x5253)+~P15(x5251,x5252,x5253)+E(x5251,x5252)+P12(x5251,x5252,x5253) % 2.32/2.42 [564]~P15(x5642,x5641,x5643)+~P15(x5641,x5642,x5643)+E(x5641,x5642)+~P30(x5643) % 2.32/2.42 [572]P15(x5722,x5721,x5723)+~P29(x5723)+~P15(x5721,x5722,x5723)+P12(x5721,x5722,x5723) % 2.32/2.42 [414]~P17(x4143)+~P19(x4143)+E(x4141,x4142)+~E(f11(x4141,x4143),f11(x4142,x4143)) % 2.32/2.42 [475]~P32(x4752)+~P17(x4752)+~E(f7(x4753,x4751,x4752),x4753)+E(x4751,f4(x4752)) % 2.32/2.42 [476]~P32(x4763)+~P17(x4763)+E(x4761,x4762)+~E(f5(x4761,x4762,x4763),f4(x4763)) % 2.32/2.42 [705]~P1(x7051)+~P12(f8(x7051),x7052,x7051)+P12(f8(x7051),f38(x7052,x7053,x7051),x7051)+~P12(f4(a1),x7053,a1) % 2.32/2.42 [715]~P3(x7151)+~P12(f4(x7151),x7153,x7151)+~P12(f4(x7151),x7152,x7151)+P12(f4(x7151),f7(x7152,x7153,x7151),x7151) % 2.32/2.42 [716]~P3(x7161)+~P12(f4(x7161),x7163,x7161)+~P15(f4(x7161),x7162,x7161)+P12(f4(x7161),f7(x7162,x7163,x7161),x7161) % 2.32/2.42 [717]~P3(x7171)+~P12(f4(x7171),x7172,x7171)+~P15(f4(x7171),x7173,x7171)+P12(f4(x7171),f7(x7172,x7173,x7171),x7171) % 2.32/2.42 [718]~P3(x7181)+~P15(f4(x7181),x7183,x7181)+~P15(f4(x7181),x7182,x7181)+P15(f4(x7181),f7(x7182,x7183,x7181),x7181) % 2.32/2.42 [719]~P3(x7193)+~P12(x7192,f4(x7193),x7193)+~P12(x7191,f4(x7193),x7193)+P12(f7(x7191,x7192,x7193),f4(x7193),x7193) % 2.32/2.42 [720]~P3(x7203)+~P12(x7202,f4(x7203),x7203)+~P15(x7201,f4(x7203),x7203)+P12(f7(x7201,x7202,x7203),f4(x7203),x7203) % 2.32/2.42 [721]~P3(x7213)+~P12(x7211,f4(x7213),x7213)+~P15(x7212,f4(x7213),x7213)+P12(f7(x7211,x7212,x7213),f4(x7213),x7213) % 2.32/2.42 [722]~P3(x7223)+~P15(x7222,f4(x7223),x7223)+~P15(x7221,f4(x7223),x7223)+P15(f7(x7221,x7222,x7223),f4(x7223),x7223) % 2.32/2.42 [607]~P7(x6072)+~P16(x6072)+P15(f11(x6071,x6072),f11(x6073,x6072),x6072)+E(f36(f11(x6071,x6072),f11(x6073,x6072),x6072),f11(x6073,x6072)) % 2.32/2.42 [646]~P7(x6462)+~P16(x6462)+~P15(f11(x6461,x6462),f11(x6463,x6462),x6462)+E(f36(f11(x6461,x6462),f11(x6463,x6462),x6462),f11(x6461,x6462)) % 2.32/2.42 [772]~P1(x7723)+~P12(x7721,f8(x7723),x7723)+~P12(f4(x7723),x7721,x7723)+P12(f38(x7721,f7(x7722,f8(a1),a1),x7723),f8(x7723),x7723) % 2.32/2.42 [590]~P29(x5903)+~P12(x5901,x5904,x5903)+P12(x5901,x5902,x5903)+~P12(x5904,x5902,x5903) % 2.32/2.42 [591]~P29(x5913)+~P15(x5911,x5914,x5913)+P12(x5911,x5912,x5913)+~P12(x5914,x5912,x5913) % 2.32/2.42 [592]~P29(x5923)+~P15(x5924,x5922,x5923)+P12(x5921,x5922,x5923)+~P12(x5921,x5924,x5923) % 2.32/2.42 [593]~P30(x5933)+~P12(x5931,x5934,x5933)+P12(x5931,x5932,x5933)+~P12(x5934,x5932,x5933) % 2.32/2.42 [594]~P30(x5943)+~P15(x5941,x5944,x5943)+P12(x5941,x5942,x5943)+~P12(x5944,x5942,x5943) % 2.32/2.42 [595]~P30(x5953)+~P15(x5954,x5952,x5953)+P12(x5951,x5952,x5953)+~P12(x5951,x5954,x5953) % 2.32/2.42 [596]~P29(x5963)+~P15(x5961,x5964,x5963)+P15(x5961,x5962,x5963)+~P15(x5964,x5962,x5963) % 2.32/2.42 [597]~P30(x5973)+~P15(x5971,x5974,x5973)+P15(x5971,x5972,x5973)+~P15(x5974,x5972,x5973) % 2.32/2.42 [568]~P32(x5684)+~P17(x5684)+E(x5681,x5682)+~E(f7(x5683,x5681,x5684),f7(x5683,x5682,x5684)) % 2.32/2.42 [638]~P1(x6384)+E(x6381,x6382)+~P12(f8(x6384),x6383,x6384)+~E(f38(x6383,x6381,x6384),f38(x6383,x6382,x6384)) % 2.32/2.42 [690]~P2(x6904)+~P12(x6901,x6903,x6904)+~P12(x6901,x6902,x6904)+P12(x6901,f36(x6902,x6903,x6904),x6904) % 2.32/2.42 [693]~P2(x6934)+~P15(x6931,x6933,x6934)+~P15(x6931,x6932,x6934)+P15(x6931,f36(x6932,x6933,x6934),x6934) % 2.32/2.42 [698]~P1(x6984)+~P12(x6981,x6983,x6984)+~P12(f4(x6984),x6982,x6984)+P12(x6981,f7(x6982,x6983,x6984),x6984) % 2.32/2.42 [723]~P2(x7233)+P12(x7231,x7232,x7233)+P12(x7234,x7232,x7233)+~P12(f36(x7231,x7234,x7233),x7232,x7233) % 2.32/2.42 [724]~P2(x7243)+P15(x7241,x7242,x7243)+P15(x7244,x7242,x7243)+~P15(f36(x7241,x7244,x7243),x7242,x7243) % 2.32/2.42 [743]~P1(x7433)+~P12(x7432,x7434,a1)+~P12(f8(x7433),x7431,x7433)+P12(f38(x7431,x7432,x7433),f38(x7431,x7434,x7433),x7433) % 2.32/2.42 [744]~P1(x7443)+~P15(x7441,x7444,x7443)+~P15(f4(x7443),x7441,x7443)+P15(f38(x7441,x7442,x7443),f38(x7444,x7442,x7443),x7443) % 2.32/2.42 [770]~P1(x7703)+~P12(f38(x7704,x7701,x7703),f38(x7704,x7702,x7703),x7703)+P12(x7701,x7702,a1)+~P12(f8(x7703),x7704,x7703) % 2.32/2.42 [771]~P1(x7713)+P12(x7711,x7712,x7713)+~P15(f4(x7713),x7712,x7713)+~P12(f38(x7711,x7714,x7713),f38(x7712,x7714,x7713),x7713) % 2.32/2.42 [774]~P2(x7744)+~P15(x7741,x7742,x7744)+~P14(f12(x7742,x7743,x7744),x7744)+P14(f12(x7741,f12(x7742,x7743,x7744),x7744),x7744) % 2.32/2.42 [794]~P1(x7943)+P15(x7941,x7942,x7943)+~P15(f4(x7943),x7942,x7943)+~P15(f38(x7941,f7(x7944,f8(a1),a1),x7943),f38(x7942,f7(x7944,f8(a1),a1),x7943),x7943) % 2.32/2.42 [801]~E(f34(f35(x8011,f39(x8012)),x8013,x8012),x8011)+~E(f34(f35(x8013,f39(x8012)),x8011,x8012),x8013)+~E(f10(f9(f35(x8013,f39(x8012)),x8011,x8012),f10(f9(f35(x8011,f39(x8012)),x8013,x8012),x8014,x8012),x8012),x8014)+E(f10(x8011,f10(f9(f35(x8011,f39(x8012)),x8013,x8012),x8014,x8012),x8012),f10(x8013,x8014,x8012)) % 2.32/2.42 [662]~P25(x6623)+~P12(x6624,x6625,x6623)+P12(x6621,x6622,x6623)+~E(f5(x6624,x6625,x6623),f5(x6621,x6622,x6623)) % 2.32/2.42 [663]~P25(x6633)+~P12(x6634,x6635,x6633)+P12(x6631,x6632,x6633)+~E(f5(x6631,x6632,x6633),f5(x6634,x6635,x6633)) % 2.32/2.42 [664]~P25(x6643)+~P15(x6645,x6644,x6643)+P15(x6641,x6642,x6643)+~E(f5(x6644,x6645,x6643),f5(x6642,x6641,x6643)) % 2.32/2.42 [665]~P25(x6653)+~P15(x6655,x6654,x6653)+P15(x6651,x6652,x6653)+~E(f5(x6652,x6651,x6653),f5(x6654,x6655,x6653)) % 2.32/2.42 [738]~P4(x7383)+~P12(x7382,x7385,x7383)+~P12(x7381,x7384,x7383)+P12(f7(x7381,x7382,x7383),f7(x7384,x7385,x7383),x7383) % 2.32/2.42 [739]~P4(x7393)+~P12(x7392,x7395,x7393)+~P15(x7391,x7394,x7393)+P12(f7(x7391,x7392,x7393),f7(x7394,x7395,x7393),x7393) % 2.32/2.42 [740]~P4(x7403)+~P12(x7401,x7404,x7403)+~P15(x7402,x7405,x7403)+P12(f7(x7401,x7402,x7403),f7(x7404,x7405,x7403),x7403) % 2.32/2.42 [741]~P28(x7413)+~P15(x7412,x7415,x7413)+~P15(x7411,x7414,x7413)+P15(f7(x7411,x7412,x7413),f7(x7414,x7415,x7413),x7413) % 2.32/2.42 [756]~P25(x7564)+~P15(x7565,x7563,x7564)+~P15(x7561,f7(x7562,x7565,x7564),x7564)+P15(x7561,f7(x7562,x7563,x7564),x7564) % 2.32/2.42 [778]~P8(x7783)+~E(f6(x7781,x7784,x7783),f6(x7785,x7784,x7783))+~E(f6(x7782,x7784,x7783),f6(x7786,x7784,x7783))+E(f6(f7(x7781,x7782,x7783),x7784,x7783),f6(f7(x7785,x7786,x7783),x7784,x7783)) % 2.32/2.42 [779]~P9(x7793)+~E(f6(x7791,x7794,x7793),f6(x7795,x7794,x7793))+~E(f6(x7792,x7794,x7793),f6(x7796,x7794,x7793))+E(f6(f5(x7791,x7792,x7793),x7794,x7793),f6(f5(x7795,x7796,x7793),x7794,x7793)) % 2.32/2.42 [501]~P34(x5012)+~P39(x5012)+~P35(x5012)+~P36(x5012)+~E(f38(x5011,f4(a1),x5012),f4(x5012)) % 2.32/2.42 [641]~P3(x6412)+~P15(f4(x6412),x6411,x6412)+~P15(f4(x6412),x6413,x6412)+~E(f7(x6413,x6411,x6412),f4(x6412))+E(x6411,f4(x6412)) % 2.32/2.42 [642]~P3(x6422)+~P15(f4(x6422),x6423,x6422)+~P15(f4(x6422),x6421,x6422)+~E(f7(x6421,x6423,x6422),f4(x6422))+E(x6421,f4(x6422)) % 2.32/2.42 [701]~P24(x7014)+~P6(x7014)+~P12(x7011,x7013,x7014)+~P15(f4(x7014),x7012,x7014)+P12(x7011,f7(x7012,x7013,x7014),x7014) % 2.32/2.42 [702]~P24(x7024)+~P6(x7024)+~P15(x7021,x7023,x7024)+~P12(f4(x7024),x7022,x7024)+P12(x7021,f7(x7022,x7023,x7024),x7024) % 2.32/2.42 [703]~P24(x7034)+~P6(x7034)+~P15(x7031,x7033,x7034)+~P15(f4(x7034),x7032,x7034)+P15(x7031,f7(x7032,x7033,x7034),x7034) % 2.32/2.42 [704]~P24(x7044)+~P6(x7044)+~P15(x7041,x7042,x7044)+~P15(f4(x7044),x7043,x7044)+P15(x7041,f7(x7042,x7043,x7044),x7044) % 2.32/2.42 [765]~P1(x7653)+~P12(x7651,x7654,x7653)+~P15(f4(x7653),x7651,x7653)+P12(f38(x7651,x7652,x7653),f38(x7654,x7652,x7653),x7653)+~P12(f4(a1),x7652,a1) % 2.32/2.42 [768]~P1(x7683)+~P12(x7684,x7682,a1)+~P12(x7681,f8(x7683),x7683)+~P12(f4(x7683),x7681,x7683)+P12(f38(x7681,x7682,x7683),f38(x7681,x7684,x7683),x7683) % 2.32/2.42 [782]~P1(x7824)+E(x7821,x7822)+~P15(f4(x7824),x7822,x7824)+~P15(f4(x7824),x7821,x7824)+~E(f38(x7821,f7(x7823,f8(a1),a1),x7824),f38(x7822,f7(x7823,f8(a1),a1),x7824)) % 2.32/2.42 [463]~P34(x4632)+~P39(x4632)+~P35(x4632)+~P36(x4632)+E(x4631,f4(a1))+E(f38(f4(x4632),x4631,x4632),f4(x4632)) % 2.32/2.42 [502]~P34(x5022)+~P39(x5022)+~P35(x5022)+~P36(x5022)+~E(f38(x5021,x5023,x5022),f4(x5022))+E(x5021,f4(x5022)) % 2.32/2.42 [745]~P1(x7454)+E(x7451,x7452)+~P15(f4(x7454),x7452,x7454)+~P15(f4(x7454),x7451,x7454)+~E(f38(x7451,x7453,x7454),f38(x7452,x7453,x7454))+~P12(f4(a1),x7453,a1) % 2.32/2.42 %EqnAxiom % 2.32/2.42 [1]E(x11,x11) % 2.32/2.42 [2]E(x22,x21)+~E(x21,x22) % 2.32/2.42 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 2.32/2.42 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 2.32/2.42 [5]~E(x51,x52)+E(f18(x51,x53,x54,x55),f18(x52,x53,x54,x55)) % 2.32/2.42 [6]~E(x61,x62)+E(f18(x63,x61,x64,x65),f18(x63,x62,x64,x65)) % 2.32/2.42 [7]~E(x71,x72)+E(f18(x73,x74,x71,x75),f18(x73,x74,x72,x75)) % 2.32/2.42 [8]~E(x81,x82)+E(f18(x83,x84,x85,x81),f18(x83,x84,x85,x82)) % 2.32/2.42 [9]~E(x91,x92)+E(f34(x91,x93,x94),f34(x92,x93,x94)) % 2.32/2.42 [10]~E(x101,x102)+E(f34(x103,x101,x104),f34(x103,x102,x104)) % 2.32/2.42 [11]~E(x111,x112)+E(f34(x113,x114,x111),f34(x113,x114,x112)) % 2.32/2.42 [12]~E(x121,x122)+E(f15(x121,x123),f15(x122,x123)) % 2.32/2.42 [13]~E(x131,x132)+E(f15(x133,x131),f15(x133,x132)) % 2.32/2.42 [14]~E(x141,x142)+E(f5(x141,x143,x144),f5(x142,x143,x144)) % 2.32/2.42 [15]~E(x151,x152)+E(f5(x153,x151,x154),f5(x153,x152,x154)) % 2.32/2.42 [16]~E(x161,x162)+E(f5(x163,x164,x161),f5(x163,x164,x162)) % 2.32/2.42 [17]~E(x171,x172)+E(f8(x171),f8(x172)) % 2.32/2.42 [18]~E(x181,x182)+E(f16(x181,x183),f16(x182,x183)) % 2.32/2.42 [19]~E(x191,x192)+E(f16(x193,x191),f16(x193,x192)) % 2.32/2.42 [20]~E(x201,x202)+E(f35(x201,x203),f35(x202,x203)) % 2.32/2.42 [21]~E(x211,x212)+E(f35(x213,x211),f35(x213,x212)) % 2.32/2.42 [22]~E(x221,x222)+E(f39(x221),f39(x222)) % 2.32/2.42 [23]~E(x231,x232)+E(f6(x231,x233,x234),f6(x232,x233,x234)) % 2.32/2.42 [24]~E(x241,x242)+E(f6(x243,x241,x244),f6(x243,x242,x244)) % 2.32/2.42 [25]~E(x251,x252)+E(f6(x253,x254,x251),f6(x253,x254,x252)) % 2.32/2.42 [26]~E(x261,x262)+E(f14(x261,x263),f14(x262,x263)) % 2.32/2.42 [27]~E(x271,x272)+E(f14(x273,x271),f14(x273,x272)) % 2.32/2.42 [28]~E(x281,x282)+E(f45(x281,x283),f45(x282,x283)) % 2.32/2.42 [29]~E(x291,x292)+E(f45(x293,x291),f45(x293,x292)) % 2.32/2.42 [30]~E(x301,x302)+E(f7(x301,x303,x304),f7(x302,x303,x304)) % 2.32/2.42 [31]~E(x311,x312)+E(f7(x313,x311,x314),f7(x313,x312,x314)) % 2.32/2.42 [32]~E(x321,x322)+E(f7(x323,x324,x321),f7(x323,x324,x322)) % 2.32/2.42 [33]~E(x331,x332)+E(f38(x331,x333,x334),f38(x332,x333,x334)) % 2.32/2.42 [34]~E(x341,x342)+E(f38(x343,x341,x344),f38(x343,x342,x344)) % 2.32/2.42 [35]~E(x351,x352)+E(f38(x353,x354,x351),f38(x353,x354,x352)) % 2.32/2.42 [36]~E(x361,x362)+E(f11(x361,x363),f11(x362,x363)) % 2.32/2.42 [37]~E(x371,x372)+E(f11(x373,x371),f11(x373,x372)) % 2.32/2.42 [38]~E(x381,x382)+E(f22(x381,x383),f22(x382,x383)) % 2.32/2.42 [39]~E(x391,x392)+E(f22(x393,x391),f22(x393,x392)) % 2.32/2.42 [40]~E(x401,x402)+E(f4(x401),f4(x402)) % 2.32/2.42 [41]~E(x411,x412)+E(f10(x411,x413,x414),f10(x412,x413,x414)) % 2.32/2.42 [42]~E(x421,x422)+E(f10(x423,x421,x424),f10(x423,x422,x424)) % 2.32/2.42 [43]~E(x431,x432)+E(f10(x433,x434,x431),f10(x433,x434,x432)) % 2.32/2.42 [44]~E(x441,x442)+E(f24(x441,x443),f24(x442,x443)) % 2.32/2.42 [45]~E(x451,x452)+E(f24(x453,x451),f24(x453,x452)) % 2.32/2.42 [46]~E(x461,x462)+E(f12(x461,x463,x464),f12(x462,x463,x464)) % 2.32/2.42 [47]~E(x471,x472)+E(f12(x473,x471,x474),f12(x473,x472,x474)) % 2.32/2.42 [48]~E(x481,x482)+E(f12(x483,x484,x481),f12(x483,x484,x482)) % 2.32/2.42 [49]~E(x491,x492)+E(f9(x491,x493,x494),f9(x492,x493,x494)) % 2.32/2.42 [50]~E(x501,x502)+E(f9(x503,x501,x504),f9(x503,x502,x504)) % 2.32/2.42 [51]~E(x511,x512)+E(f9(x513,x514,x511),f9(x513,x514,x512)) % 2.32/2.42 [52]~E(x521,x522)+E(f36(x521,x523,x524),f36(x522,x523,x524)) % 2.32/2.42 [53]~E(x531,x532)+E(f36(x533,x531,x534),f36(x533,x532,x534)) % 2.32/2.42 [54]~E(x541,x542)+E(f36(x543,x544,x541),f36(x543,x544,x542)) % 2.32/2.42 [55]~E(x551,x552)+E(f19(x551,x553,x554),f19(x552,x553,x554)) % 2.32/2.42 [56]~E(x561,x562)+E(f19(x563,x561,x564),f19(x563,x562,x564)) % 2.32/2.42 [57]~E(x571,x572)+E(f19(x573,x574,x571),f19(x573,x574,x572)) % 2.32/2.42 [58]~E(x581,x582)+E(f20(x581,x583,x584),f20(x582,x583,x584)) % 2.32/2.42 [59]~E(x591,x592)+E(f20(x593,x591,x594),f20(x593,x592,x594)) % 2.32/2.42 [60]~E(x601,x602)+E(f20(x603,x604,x601),f20(x603,x604,x602)) % 2.32/2.42 [61]~E(x611,x612)+E(f25(x611,x613,x614),f25(x612,x613,x614)) % 2.32/2.42 [62]~E(x621,x622)+E(f25(x623,x621,x624),f25(x623,x622,x624)) % 2.32/2.42 [63]~E(x631,x632)+E(f25(x633,x634,x631),f25(x633,x634,x632)) % 2.32/2.42 [64]~E(x641,x642)+E(f21(x641,x643,x644),f21(x642,x643,x644)) % 2.32/2.42 [65]~E(x651,x652)+E(f21(x653,x651,x654),f21(x653,x652,x654)) % 2.32/2.42 [66]~E(x661,x662)+E(f21(x663,x664,x661),f21(x663,x664,x662)) % 2.32/2.42 [67]~E(x671,x672)+E(f23(x671,x673,x674),f23(x672,x673,x674)) % 2.32/2.42 [68]~E(x681,x682)+E(f23(x683,x681,x684),f23(x683,x682,x684)) % 2.32/2.42 [69]~E(x691,x692)+E(f23(x693,x694,x691),f23(x693,x694,x692)) % 2.32/2.42 [70]~E(x701,x702)+E(f13(x701,x703),f13(x702,x703)) % 2.32/2.42 [71]~E(x711,x712)+E(f13(x713,x711),f13(x713,x712)) % 2.32/2.42 [72]~E(x721,x722)+E(f33(x721,x723),f33(x722,x723)) % 2.32/2.42 [73]~E(x731,x732)+E(f33(x733,x731),f33(x733,x732)) % 2.32/2.42 [74]~E(x741,x742)+E(f46(x741,x743),f46(x742,x743)) % 2.32/2.42 [75]~E(x751,x752)+E(f46(x753,x751),f46(x753,x752)) % 2.32/2.42 [76]~E(x761,x762)+E(f28(x761,x763,x764,x765,x766),f28(x762,x763,x764,x765,x766)) % 2.32/2.42 [77]~E(x771,x772)+E(f28(x773,x771,x774,x775,x776),f28(x773,x772,x774,x775,x776)) % 2.32/2.42 [78]~E(x781,x782)+E(f28(x783,x784,x781,x785,x786),f28(x783,x784,x782,x785,x786)) % 2.32/2.42 [79]~E(x791,x792)+E(f28(x793,x794,x795,x791,x796),f28(x793,x794,x795,x792,x796)) % 2.32/2.42 [80]~E(x801,x802)+E(f28(x803,x804,x805,x806,x801),f28(x803,x804,x805,x806,x802)) % 2.32/2.42 [81]~E(x811,x812)+E(f27(x811,x813),f27(x812,x813)) % 2.32/2.42 [82]~E(x821,x822)+E(f27(x823,x821),f27(x823,x822)) % 2.32/2.42 [83]~E(x831,x832)+E(f32(x831,x833),f32(x832,x833)) % 2.32/2.42 [84]~E(x841,x842)+E(f32(x843,x841),f32(x843,x842)) % 2.32/2.42 [85]~E(x851,x852)+E(f29(x851,x853,x854,x855,x856),f29(x852,x853,x854,x855,x856)) % 2.32/2.42 [86]~E(x861,x862)+E(f29(x863,x861,x864,x865,x866),f29(x863,x862,x864,x865,x866)) % 2.32/2.42 [87]~E(x871,x872)+E(f29(x873,x874,x871,x875,x876),f29(x873,x874,x872,x875,x876)) % 2.32/2.42 [88]~E(x881,x882)+E(f29(x883,x884,x885,x881,x886),f29(x883,x884,x885,x882,x886)) % 2.32/2.42 [89]~E(x891,x892)+E(f29(x893,x894,x895,x896,x891),f29(x893,x894,x895,x896,x892)) % 2.32/2.42 [90]~E(x901,x902)+E(f31(x901,x903),f31(x902,x903)) % 2.32/2.42 [91]~E(x911,x912)+E(f31(x913,x911),f31(x913,x912)) % 2.32/2.42 [92]~E(x921,x922)+E(f26(x921,x923),f26(x922,x923)) % 2.32/2.42 [93]~E(x931,x932)+E(f26(x933,x931),f26(x933,x932)) % 2.32/2.42 [94]~E(x941,x942)+E(f30(x941,x943),f30(x942,x943)) % 2.32/2.42 [95]~E(x951,x952)+E(f30(x953,x951),f30(x953,x952)) % 2.32/2.42 [96]~E(x961,x962)+E(f17(x961,x963,x964),f17(x962,x963,x964)) % 2.32/2.42 [97]~E(x971,x972)+E(f17(x973,x971,x974),f17(x973,x972,x974)) % 2.32/2.42 [98]~E(x981,x982)+E(f17(x983,x984,x981),f17(x983,x984,x982)) % 2.32/2.42 [99]~P1(x991)+P1(x992)+~E(x991,x992) % 2.32/2.42 [100]P12(x1002,x1003,x1004)+~E(x1001,x1002)+~P12(x1001,x1003,x1004) % 2.32/2.42 [101]P12(x1013,x1012,x1014)+~E(x1011,x1012)+~P12(x1013,x1011,x1014) % 2.32/2.42 [102]P12(x1023,x1024,x1022)+~E(x1021,x1022)+~P12(x1023,x1024,x1021) % 2.32/2.42 [103]~P2(x1031)+P2(x1032)+~E(x1031,x1032) % 2.32/2.42 [104]~P25(x1041)+P25(x1042)+~E(x1041,x1042) % 2.32/2.42 [105]~P29(x1051)+P29(x1052)+~E(x1051,x1052) % 2.32/2.42 [106]~P5(x1061)+P5(x1062)+~E(x1061,x1062) % 2.32/2.42 [107]~P30(x1071)+P30(x1072)+~E(x1071,x1072) % 2.32/2.42 [108]P15(x1082,x1083,x1084)+~E(x1081,x1082)+~P15(x1081,x1083,x1084) % 2.32/2.42 [109]P15(x1093,x1092,x1094)+~E(x1091,x1092)+~P15(x1093,x1091,x1094) % 2.32/2.42 [110]P15(x1103,x1104,x1102)+~E(x1101,x1102)+~P15(x1103,x1104,x1101) % 2.32/2.42 [111]~P3(x1111)+P3(x1112)+~E(x1111,x1112) % 2.32/2.42 [112]~P24(x1121)+P24(x1122)+~E(x1121,x1122) % 2.32/2.42 [113]~P4(x1131)+P4(x1132)+~E(x1131,x1132) % 2.32/2.42 [114]~P33(x1141)+P33(x1142)+~E(x1141,x1142) % 2.32/2.42 [115]P14(x1152,x1153)+~E(x1151,x1152)+~P14(x1151,x1153) % 2.32/2.42 [116]P14(x1163,x1162)+~E(x1161,x1162)+~P14(x1163,x1161) % 2.32/2.42 [117]~P6(x1171)+P6(x1172)+~E(x1171,x1172) % 2.32/2.42 [118]~P40(x1181)+P40(x1182)+~E(x1181,x1182) % 2.32/2.42 [119]P11(x1192,x1193)+~E(x1191,x1192)+~P11(x1191,x1193) % 2.32/2.42 [120]P11(x1203,x1202)+~E(x1201,x1202)+~P11(x1203,x1201) % 2.32/2.42 [121]~P34(x1211)+P34(x1212)+~E(x1211,x1212) % 2.32/2.42 [122]~P31(x1221)+P31(x1222)+~E(x1221,x1222) % 2.32/2.42 [123]~P37(x1231)+P37(x1232)+~E(x1231,x1232) % 2.32/2.42 [124]~P7(x1241)+P7(x1242)+~E(x1241,x1242) % 2.32/2.42 [125]~P8(x1251)+P8(x1252)+~E(x1251,x1252) % 2.32/2.42 [126]~P32(x1261)+P32(x1262)+~E(x1261,x1262) % 2.32/2.42 [127]~P17(x1271)+P17(x1272)+~E(x1271,x1272) % 2.32/2.42 [128]~P23(x1281)+P23(x1282)+~E(x1281,x1282) % 2.32/2.42 [129]~P18(x1291)+P18(x1292)+~E(x1291,x1292) % 2.32/2.42 [130]~P22(x1301)+P22(x1302)+~E(x1301,x1302) % 2.32/2.42 [131]~P16(x1311)+P16(x1312)+~E(x1311,x1312) % 2.32/2.42 [132]P13(x1322,x1323,x1324)+~E(x1321,x1322)+~P13(x1321,x1323,x1324) % 2.32/2.42 [133]P13(x1333,x1332,x1334)+~E(x1331,x1332)+~P13(x1333,x1331,x1334) % 2.32/2.42 [134]P13(x1343,x1344,x1342)+~E(x1341,x1342)+~P13(x1343,x1344,x1341) % 2.32/2.42 [135]~P26(x1351)+P26(x1352)+~E(x1351,x1352) % 2.32/2.42 [136]~P39(x1361)+P39(x1362)+~E(x1361,x1362) % 2.32/2.42 [137]~P35(x1371)+P35(x1372)+~E(x1371,x1372) % 2.32/2.42 [138]~P27(x1381)+P27(x1382)+~E(x1381,x1382) % 2.32/2.42 [139]~P28(x1391)+P28(x1392)+~E(x1391,x1392) % 2.32/2.42 [140]~P20(x1401)+P20(x1402)+~E(x1401,x1402) % 2.32/2.42 [141]~P9(x1411)+P9(x1412)+~E(x1411,x1412) % 2.32/2.42 [142]P10(x1422,x1423)+~E(x1421,x1422)+~P10(x1421,x1423) % 2.32/2.42 [143]P10(x1433,x1432)+~E(x1431,x1432)+~P10(x1433,x1431) % 2.32/2.42 [144]~P19(x1441)+P19(x1442)+~E(x1441,x1442) % 2.32/2.42 [145]~P36(x1451)+P36(x1452)+~E(x1451,x1452) % 2.32/2.42 [146]~P38(x1461)+P38(x1462)+~E(x1461,x1462) % 2.32/2.42 [147]~P21(x1471)+P21(x1472)+~E(x1471,x1472) % 2.32/2.42 % 2.32/2.42 %------------------------------------------- % 2.32/2.42 cnf(845,plain, % 2.32/2.42 (P11(f12(a43,f12(a44,f3(a37),a37),a37),a37)), % 2.32/2.42 inference(scs_inference,[],[361,576])). % 2.32/2.42 cnf(847,plain, % 2.32/2.42 (~P10(f12(x8471,f3(x8472),x8473),x8472)), % 2.32/2.42 inference(scs_inference,[],[380,361,576,401])). % 2.32/2.42 cnf(848,plain, % 2.32/2.42 (~E(f12(x8481,x8482,x8483),x8482)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(850,plain, % 2.32/2.42 (~E(f15(f12(x8501,f3(x8502),x8503),x8502),f3(x8502))), % 2.32/2.42 inference(scs_inference,[],[380,848,361,576,401,404])). % 2.32/2.42 cnf(851,plain, % 2.32/2.42 (~E(f12(x8511,x8512,x8513),x8512)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(854,plain, % 2.32/2.42 (~E(f12(x8541,x8542,x8543),x8542)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(857,plain, % 2.32/2.42 (~E(f12(x8571,x8572,x8573),x8572)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(860,plain, % 2.32/2.42 (~E(f12(x8601,x8602,x8603),x8602)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(862,plain, % 2.32/2.42 (~E(f10(x8621,f12(x8622,f3(x8623),x8624),x8623),x8621)), % 2.32/2.42 inference(scs_inference,[],[380,848,851,854,857,860,361,576,401,404,405,406,451,456])). % 2.32/2.42 cnf(863,plain, % 2.32/2.42 (~E(f12(x8631,x8632,x8633),x8632)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(865,plain, % 2.32/2.42 (~E(f10(f12(x8651,f3(x8652),x8653),x8654,x8652),x8654)), % 2.32/2.42 inference(scs_inference,[],[380,848,851,854,857,860,863,361,576,401,404,405,406,451,456,457])). % 2.32/2.42 cnf(866,plain, % 2.32/2.42 (~E(f12(x8661,x8662,x8663),x8662)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(869,plain, % 2.32/2.42 (~E(f12(x8691,x8692,x8693),x8692)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(871,plain, % 2.32/2.42 (~E(f10(x8711,f12(x8712,f3(x8713),x8714),x8713),f3(x8713))), % 2.32/2.42 inference(scs_inference,[],[380,848,851,854,857,860,863,866,869,361,576,401,404,405,406,451,456,457,462,466])). % 2.32/2.42 cnf(872,plain, % 2.32/2.42 (~E(f12(x8721,x8722,x8723),x8722)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(875,plain, % 2.32/2.42 (~E(f12(x8751,x8752,x8753),x8752)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(878,plain, % 2.32/2.42 (~E(f12(x8781,x8782,x8783),x8782)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(887,plain, % 2.32/2.42 (~E(f12(x8871,x8872,x8873),x8872)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(889,plain, % 2.32/2.42 (~E(f15(f12(x8891,f10(f15(x8892,x8893),f12(x8894,f3(x8893),x8893),x8893),x8895),x8893),f12(x8894,x8892,x8893))), % 2.32/2.42 inference(scs_inference,[],[380,848,851,854,857,860,863,866,869,872,875,878,887,391,352,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650])). % 2.32/2.42 cnf(890,plain, % 2.32/2.42 (~E(f12(x8901,x8902,x8903),x8902)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(895,plain, % 2.32/2.42 (~E(f12(x8951,x8952,x8953),x8952)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(898,plain, % 2.32/2.42 (~P12(x8981,x8981,a2)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,151,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458])). % 2.32/2.42 cnf(901,plain, % 2.32/2.42 (~P12(f7(x9011,x9012,a1),x9012,a1)), % 2.32/2.42 inference(rename_variables,[],[396])). % 2.32/2.42 cnf(904,plain, % 2.32/2.42 (~P12(f7(x9041,x9042,a1),x9042,a1)), % 2.32/2.42 inference(rename_variables,[],[396])). % 2.32/2.42 cnf(906,plain, % 2.32/2.42 (~P12(f7(x9061,f7(x9062,x9063,a1),a1),x9062,a1)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,396,901,904,151,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605])). % 2.32/2.42 cnf(907,plain, % 2.32/2.42 (~P12(f7(x9071,x9072,a1),x9072,a1)), % 2.32/2.42 inference(rename_variables,[],[396])). % 2.32/2.42 cnf(909,plain, % 2.32/2.42 (~P12(x9091,f5(x9091,x9092,a1),a1)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,378,396,901,904,151,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606])). % 2.32/2.42 cnf(910,plain, % 2.32/2.42 (~P12(x9101,x9101,a1)), % 2.32/2.42 inference(rename_variables,[],[378])). % 2.32/2.42 cnf(912,plain, % 2.32/2.42 (P12(f6(x9121,f7(f4(a1),f8(a1),a1),a1),f7(f4(a1),f8(a1),a1),a1)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,378,396,901,904,151,265,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609])). % 2.32/2.42 cnf(913,plain, % 2.32/2.42 (P12(x9131,f7(x9131,f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[265])). % 2.32/2.42 cnf(915,plain, % 2.32/2.42 (P12(x9151,f7(f7(x9152,f7(x9151,x9153,a1),a1),f8(a1),a1),a1)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,378,396,901,904,151,265,338,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645])). % 2.32/2.42 cnf(916,plain, % 2.32/2.42 (P12(x9161,f7(f7(x9162,x9161,a1),f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[338])). % 2.32/2.42 cnf(920,plain, % 2.32/2.42 (~P12(f7(f7(x9201,x9202,a1),x9203,a1),x9202,a1)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,378,396,901,904,151,265,338,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695])). % 2.32/2.42 cnf(922,plain, % 2.32/2.42 (~P12(f7(f5(x9221,x9222,a1),x9222,a1),x9221,a1)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,378,910,396,901,904,151,265,338,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728])). % 2.32/2.42 cnf(923,plain, % 2.32/2.42 (~P12(x9231,x9231,a1)), % 2.32/2.42 inference(rename_variables,[],[378])). % 2.32/2.42 cnf(925,plain, % 2.32/2.42 (~P12(x9251,f5(f7(x9251,x9252,a1),x9252,a1),a1)), % 2.32/2.42 inference(scs_inference,[],[217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,391,352,378,910,923,396,901,904,151,265,338,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729])). % 2.32/2.42 cnf(926,plain, % 2.32/2.42 (~P12(x9261,x9261,a1)), % 2.32/2.42 inference(rename_variables,[],[378])). % 2.32/2.42 cnf(929,plain, % 2.32/2.42 (P12(x9291,f7(f7(x9291,x9292,a1),f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[340])). % 2.32/2.42 cnf(932,plain, % 2.32/2.42 (E(f10(f34(x9321,x9322,x9323),f9(x9321,x9322,x9323),x9323),x9322)), % 2.32/2.42 inference(rename_variables,[],[303])). % 2.32/2.42 cnf(933,plain, % 2.32/2.42 (P11(f3(f5(x9331,x9331,a1)),f4(a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,303,391,352,378,910,923,205,396,901,904,151,265,338,340,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120])). % 2.32/2.42 cnf(934,plain, % 2.32/2.42 (P11(f3(x9341),x9341)), % 2.32/2.42 inference(rename_variables,[],[205])). % 2.32/2.42 cnf(936,plain, % 2.32/2.42 (~E(f12(x9361,x9362,x9363),x9362)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(939,plain, % 2.32/2.42 (~E(f12(x9391,x9392,x9393),x9392)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(942,plain, % 2.32/2.42 (~E(f12(x9421,x9422,x9423),x9422)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(949,plain, % 2.32/2.42 (E(f5(x9491,f7(x9491,x9492,a1),a1),f4(a1))), % 2.32/2.42 inference(rename_variables,[],[261])). % 2.32/2.42 cnf(952,plain, % 2.32/2.42 (~E(f12(x9521,x9522,x9523),x9522)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(954,plain, % 2.32/2.42 (P12(f4(a1),f8(a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,387,303,259,221,261,223,391,352,378,910,923,205,396,901,904,150,151,160,186,265,913,338,340,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647])). % 2.32/2.42 cnf(959,plain, % 2.32/2.42 (~P12(x9591,f4(a1),a1)), % 2.32/2.42 inference(rename_variables,[],[382])). % 2.32/2.42 cnf(962,plain, % 2.32/2.42 (~E(f12(x9621,x9622,x9623),x9622)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(965,plain, % 2.32/2.42 (~E(f12(x9651,x9652,x9653),x9652)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(968,plain, % 2.32/2.42 (~E(f12(x9681,x9682,x9683),f3(x9683))), % 2.32/2.42 inference(rename_variables,[],[387])). % 2.32/2.42 cnf(969,plain, % 2.32/2.42 (~E(f12(x9691,x9692,x9693),x9692)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(971,plain, % 2.32/2.42 (~E(f12(x9711,x9712,x9713),f10(f3(x9713),x9712,x9713))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,259,221,261,223,391,352,378,910,923,205,396,901,904,382,150,151,160,186,265,913,338,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809])). % 2.32/2.42 cnf(975,plain, % 2.32/2.42 (~E(f12(x9751,x9752,x9753),x9752)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(977,plain, % 2.32/2.42 (~P12(x9771,x9771,a1)), % 2.32/2.42 inference(rename_variables,[],[378])). % 2.32/2.42 cnf(978,plain, % 2.32/2.42 (~E(f7(f7(x9781,x9782,a1),f8(a1),a1),x9782)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,259,221,261,223,391,352,378,910,923,926,977,205,396,901,904,382,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101])). % 2.32/2.42 cnf(979,plain, % 2.32/2.42 (P12(x9791,f7(f7(x9792,x9791,a1),f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[338])). % 2.32/2.42 cnf(980,plain, % 2.32/2.42 (P15(f5(x9801,x9801,a1),f4(a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,259,221,261,223,391,352,378,910,923,926,977,205,396,901,904,382,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108])). % 2.32/2.42 cnf(981,plain, % 2.32/2.42 (P15(f4(a1),f5(x9811,x9811,a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,259,221,261,223,391,352,378,910,923,926,977,205,396,901,904,382,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109])). % 2.32/2.42 cnf(982,plain, % 2.32/2.42 (~P23(f10(f34(x9821,a1,x9822),f9(x9821,a1,x9822),x9822))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,205,396,901,904,382,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128])). % 2.32/2.42 cnf(983,plain, % 2.32/2.42 (E(f10(f34(x9831,x9832,x9833),f9(x9831,x9832,x9833),x9833),x9832)), % 2.32/2.42 inference(rename_variables,[],[303])). % 2.32/2.42 cnf(985,plain, % 2.32/2.42 (P13(x9851,f12(x9851,x9852,x9853),x9853)), % 2.32/2.42 inference(rename_variables,[],[262])). % 2.32/2.42 cnf(986,plain, % 2.32/2.42 (P13(x9861,f12(x9861,x9862,f5(x9863,x9863,a1)),f4(a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,262,985,205,396,901,904,382,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134])). % 2.32/2.42 cnf(989,plain, % 2.32/2.42 (P10(f3(x9891),x9891)), % 2.32/2.42 inference(rename_variables,[],[204])). % 2.32/2.42 cnf(990,plain, % 2.32/2.42 (P15(x9901,x9901,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,262,985,204,205,395,396,901,904,382,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490])). % 2.32/2.42 cnf(994,plain, % 2.32/2.42 (~P12(x9941,f36(x9942,x9941,a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,262,985,204,205,395,396,901,904,382,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615])). % 2.32/2.42 cnf(995,plain, % 2.32/2.42 (~P12(x9951,x9951,a1)), % 2.32/2.42 inference(rename_variables,[],[378])). % 2.32/2.42 cnf(998,plain, % 2.32/2.42 (~P12(x9981,x9981,a1)), % 2.32/2.42 inference(rename_variables,[],[378])). % 2.32/2.42 cnf(1001,plain, % 2.32/2.42 (~P12(x10011,f4(a1),a1)), % 2.32/2.42 inference(rename_variables,[],[382])). % 2.32/2.42 cnf(1003,plain, % 2.32/2.42 (P15(f36(x10031,x10032,a1),x10032,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,205,395,396,901,904,382,959,150,151,160,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659])). % 2.32/2.42 cnf(1009,plain, % 2.32/2.42 (~P12(f7(f7(f4(a2),f4(a2),a2),f7(f4(a2),f4(a2),a2),a2),f4(a2),a2)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,205,395,396,901,904,382,959,150,151,160,165,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684])). % 2.32/2.42 cnf(1011,plain, % 2.32/2.42 (~P12(f4(a2),f7(f4(a2),f4(a2),a2),a2)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,205,395,396,901,904,382,959,150,151,160,165,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686])). % 2.32/2.42 cnf(1013,plain, % 2.32/2.42 (P12(f5(f7(f4(a1),f8(a1),a1),f7(f4(a1),f8(a1),a1),a1),f7(f4(a1),f8(a1),a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,205,395,396,901,904,382,959,150,151,160,165,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688])). % 2.32/2.42 cnf(1014,plain, % 2.32/2.42 (P12(x10141,f7(x10141,f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[265])). % 2.32/2.42 cnf(1016,plain, % 2.32/2.42 (~P12(f5(f7(x10161,x10162,a1),x10162,a1),x10161,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,205,395,396,901,904,382,959,150,151,158,160,165,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706])). % 2.32/2.42 cnf(1018,plain, % 2.32/2.42 (P12(x10181,f7(x10182,f7(f7(x10181,f8(a1),a1),x10183,a1),a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,205,395,396,901,904,382,959,150,151,158,160,161,165,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752])). % 2.32/2.42 cnf(1020,plain, % 2.32/2.42 (P10(f3(f5(x10201,x10201,a1)),f4(a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,989,205,395,396,901,904,382,959,150,151,158,160,161,165,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143])). % 2.32/2.42 cnf(1023,plain, % 2.32/2.42 (~E(f12(x10231,x10232,x10233),x10232)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(1025,plain, % 2.32/2.42 (P12(f4(a1),f12(x10251,f4(a1),x10252),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,989,205,395,396,901,904,382,959,1001,150,151,158,160,161,165,169,170,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496])). % 2.32/2.42 cnf(1026,plain, % 2.32/2.42 (~E(f12(x10261,x10262,x10263),x10262)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(1027,plain, % 2.32/2.42 (~P12(x10271,f4(a1),a1)), % 2.32/2.42 inference(rename_variables,[],[382])). % 2.32/2.42 cnf(1029,plain, % 2.32/2.42 (~P15(f12(x10291,f4(a1),x10292),f4(a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,989,205,395,396,901,904,382,959,1001,1027,150,151,158,160,161,165,169,170,186,265,913,338,916,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519])). % 2.32/2.42 cnf(1030,plain, % 2.32/2.42 (~E(f12(x10301,x10302,x10303),x10302)), % 2.32/2.42 inference(rename_variables,[],[380])). % 2.32/2.42 cnf(1034,plain, % 2.32/2.42 (~P12(f7(x10341,x10342,a1),x10342,a1)), % 2.32/2.42 inference(rename_variables,[],[396])). % 2.32/2.42 cnf(1037,plain, % 2.32/2.42 (P12(x10371,f7(x10371,f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[265])). % 2.32/2.42 cnf(1039,plain, % 2.32/2.42 (P12(f36(x10391,f6(x10392,f7(f4(a1),f8(a1),a1),a1),a1),f7(f4(a1),f8(a1),a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,262,985,204,989,205,395,396,901,904,907,382,959,1001,1027,150,151,152,154,158,160,161,165,169,170,186,265,913,1014,338,916,979,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591])). % 2.32/2.42 cnf(1041,plain, % 2.32/2.42 (~P15(f7(f7(x10411,x10412,a1),f8(a1),a1),x10412,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,382,959,1001,1027,150,151,152,154,158,160,161,165,169,170,186,265,913,1014,338,916,979,340,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592])). % 2.32/2.42 cnf(1042,plain, % 2.32/2.42 (P12(x10421,f7(f7(x10422,x10421,a1),f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[338])). % 2.32/2.42 cnf(1044,plain, % 2.32/2.42 (P12(x10441,f7(f7(f7(x10441,f8(a1),a1),x10442,a1),f8(a1),a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,382,959,1001,1027,150,151,152,154,158,160,161,165,169,170,186,265,913,1014,1037,338,916,979,340,929,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593])). % 2.32/2.42 cnf(1045,plain, % 2.32/2.42 (P12(x10451,f7(f7(x10451,x10452,a1),f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[340])). % 2.32/2.42 cnf(1049,plain, % 2.32/2.42 (~P15(f7(f7(x10491,x10492,a1),f8(a1),a1),x10491,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,382,959,1001,1027,150,151,152,154,158,160,161,165,169,170,186,265,913,1014,1037,338,916,979,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595])). % 2.32/2.42 cnf(1052,plain, % 2.32/2.42 (~P12(f36(f7(f4(a1),f8(a1),a1),f6(x10521,f7(f4(a1),f8(a1),a1),a1),a1),f6(x10521,f7(f4(a1),f8(a1),a1),a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,382,959,1001,1027,150,151,152,154,158,160,161,165,169,170,186,265,913,1014,1037,338,916,979,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690])). % 2.32/2.42 cnf(1055,plain, % 2.32/2.42 (~P12(f7(x10551,f7(x10552,f7(f7(f4(a1),f8(a1),a1),x10553,a1),a1),a1),x10553,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,382,959,1001,1027,148,150,151,152,154,158,160,161,165,169,170,186,265,913,1014,1037,338,916,979,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698])). % 2.32/2.42 cnf(1056,plain, % 2.32/2.42 (P12(x10561,f7(x10561,f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[265])). % 2.32/2.42 cnf(1059,plain, % 2.32/2.42 (P12(x10591,f7(x10591,f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[265])). % 2.32/2.42 cnf(1064,plain, % 2.32/2.42 (~P12(f7(x10641,f7(f7(f4(a1),f8(a1),a1),f7(f7(x10642,f8(a1),a1),x10643,a1),a1),a1),x10643,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,382,959,1001,1027,148,150,151,152,154,156,158,160,161,165,169,170,186,265,913,1014,1037,1056,1059,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738])). % 2.32/2.42 cnf(1066,plain, % 2.32/2.42 (~P15(f7(x10661,f7(x10662,f8(a1),a1),a1),x10661,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,165,169,170,186,265,913,1014,1037,1056,1059,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739])). % 2.32/2.42 cnf(1070,plain, % 2.32/2.42 (~P12(f7(x10701,x10702,a1),x10702,a1)), % 2.32/2.42 inference(rename_variables,[],[396])). % 2.32/2.42 cnf(1075,plain, % 2.32/2.42 (P12(x10751,f7(x10751,f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[265])). % 2.32/2.42 cnf(1077,plain, % 2.32/2.42 (~P12(f7(f4(a1),f7(f7(f4(a1),x10771,a1),x10772,a1),a1),x10771,a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,1034,1070,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,186,265,913,1014,1037,1056,1059,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701])). % 2.32/2.42 cnf(1080,plain, % 2.32/2.42 (~P12(f7(x10801,x10802,a1),x10802,a1)), % 2.32/2.42 inference(rename_variables,[],[396])). % 2.32/2.42 cnf(1081,plain, % 2.32/2.42 (P12(x10811,f7(x10811,f8(a1),a1),a1)), % 2.32/2.42 inference(rename_variables,[],[265])). % 2.32/2.42 cnf(1092,plain, % 2.32/2.42 (~P12(x10921,f7(f4(a1),x10921,a1),a1)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,395,396,901,904,907,1034,1070,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608])). % 2.32/2.42 cnf(1094,plain, % 2.32/2.42 (P11(x10941,x10942)+~E(f3(x10942),x10941)), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,259,221,261,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119])). % 2.32/2.42 cnf(1098,plain, % 2.32/2.42 (E(x10981,f7(f4(a1),x10981,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478])). % 2.32/2.42 cnf(1101,plain, % 2.32/2.42 (P1(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99])). % 2.32/2.42 cnf(1102,plain, % 2.32/2.42 (P12(x11021,f7(x11021,f8(a1),a1),f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102])). % 2.32/2.42 cnf(1103,plain, % 2.32/2.42 (P2(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103])). % 2.32/2.42 cnf(1104,plain, % 2.32/2.42 (~P25(f10(f34(x11041,a1,x11042),f9(x11041,a1,x11042),x11042))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104])). % 2.32/2.42 cnf(1105,plain, % 2.32/2.42 (E(f10(f34(x11051,x11052,x11053),f9(x11051,x11052,x11053),x11053),x11052)), % 2.32/2.42 inference(rename_variables,[],[303])). % 2.32/2.42 cnf(1106,plain, % 2.32/2.42 (P29(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105])). % 2.32/2.42 cnf(1107,plain, % 2.32/2.42 (P30(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107])). % 2.32/2.42 cnf(1108,plain, % 2.32/2.42 (P15(f4(a1),f4(a1),f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110])). % 2.32/2.42 cnf(1109,plain, % 2.32/2.42 (P3(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111])). % 2.32/2.42 cnf(1110,plain, % 2.32/2.42 (P24(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112])). % 2.32/2.42 cnf(1111,plain, % 2.32/2.42 (P4(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113])). % 2.32/2.42 cnf(1112,plain, % 2.32/2.42 (P33(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,173,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114])). % 2.32/2.42 cnf(1113,plain, % 2.32/2.42 (P6(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,173,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117])). % 2.32/2.42 cnf(1114,plain, % 2.32/2.42 (P34(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,173,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121])). % 2.32/2.42 cnf(1115,plain, % 2.32/2.42 (P37(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,169,170,173,177,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123])). % 2.32/2.42 cnf(1116,plain, % 2.32/2.42 (P7(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,177,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124])). % 2.32/2.42 cnf(1117,plain, % 2.32/2.42 (P8(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125])). % 2.32/2.42 cnf(1118,plain, % 2.32/2.42 (~P18(f10(f34(x11181,a1,x11182),f9(x11181,a1,x11182),x11182))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,186,187,189,191,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129])). % 2.32/2.42 cnf(1120,plain, % 2.32/2.42 (P22(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,186,187,189,191,200,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130])). % 2.32/2.42 cnf(1121,plain, % 2.32/2.42 (P16(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,186,187,189,191,193,200,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131])). % 2.32/2.42 cnf(1122,plain, % 2.32/2.42 (~E(f12(x11221,x11222,f5(x11223,x11223,a1)),f3(f4(a1)))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,186,187,189,191,193,200,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133])). % 2.32/2.42 cnf(1124,plain, % 2.32/2.42 (P26(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,186,187,189,191,193,200,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135])). % 2.32/2.42 cnf(1125,plain, % 2.32/2.42 (P39(f7(f4(a1),a1,a1))), % 2.32/2.42 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,186,187,189,191,193,200,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136])). % 2.32/2.43 cnf(1126,plain, % 2.32/2.43 (P35(f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,186,187,189,191,193,200,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137])). % 2.32/2.43 cnf(1127,plain, % 2.32/2.43 (P27(f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,186,187,189,191,193,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138])). % 2.32/2.43 cnf(1128,plain, % 2.32/2.43 (P28(f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139])). % 2.32/2.43 cnf(1129,plain, % 2.32/2.43 (P20(f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140])). % 2.32/2.43 cnf(1130,plain, % 2.32/2.43 (P15(f4(a1),f7(f4(a1),f8(a1),a1),a1)), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492])). % 2.32/2.43 cnf(1132,plain, % 2.32/2.43 (~P12(f7(x11321,f8(a1),a1),x11321,f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548])). % 2.32/2.43 cnf(1134,plain, % 2.32/2.43 (~P15(f7(x11341,f8(a1),a1),x11341,f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554])). % 2.32/2.43 cnf(1138,plain, % 2.32/2.43 (~P12(f7(f7(f4(a1),f7(f4(a1),x11381,a1),a1),x11382,a1),x11381,a1)), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554,708,709])). % 2.32/2.43 cnf(1142,plain, % 2.32/2.43 (~P15(f7(f7(f4(a1),f8(a1),a1),f7(x11421,x11422,a1),a1),x11422,a1)), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554,708,709,710,712])). % 2.32/2.43 cnf(1144,plain, % 2.32/2.43 (~P15(f7(f7(f7(f8(a1),f8(a1),a1),x11441,a1),f4(a1),a1),x11441,a1)), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554,708,709,710,712,713])). % 2.32/2.43 cnf(1146,plain, % 2.32/2.43 (~P12(f7(f7(f8(a1),f8(a1),a1),f7(x11461,f7(f7(f7(f4(a1),f8(a1),a1),f8(a1),a1),x11462,a1),a1),a1),x11462,a1)), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554,708,709,710,712,713,733])). % 2.32/2.43 cnf(1149,plain, % 2.32/2.43 (P36(f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554,708,709,710,712,713,733,145])). % 2.32/2.43 cnf(1150,plain, % 2.32/2.43 (P21(f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,198,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554,708,709,710,712,713,733,145,147])). % 2.32/2.43 cnf(1151,plain, % 2.32/2.43 (~P15(f7(f4(a1),f7(f38(f4(a1),x11511,a1),f7(f8(a1),f8(a1),a1),a1),a1),f38(f5(x11512,x11512,a1),x11511,a1),a1)), % 2.32/2.43 inference(scs_inference,[],[376,217,380,848,851,854,857,860,863,866,869,872,875,878,887,890,895,936,939,942,952,962,965,969,975,1023,1026,1030,387,968,303,932,983,1105,259,221,261,949,223,391,352,378,910,923,926,977,995,998,262,985,393,204,989,205,934,395,396,901,904,907,1034,1070,1080,397,382,959,1001,1027,148,150,151,152,154,156,158,160,161,163,165,167,169,170,173,175,177,179,181,184,186,187,189,191,193,195,198,200,202,265,913,1014,1037,1056,1059,1075,1081,338,916,979,1042,340,929,1045,302,361,576,401,404,405,406,451,456,457,462,466,467,468,534,546,547,650,725,726,2,458,583,603,605,606,609,645,689,695,728,729,749,118,120,470,473,474,517,542,543,647,653,775,803,806,809,3,100,101,108,109,128,132,134,142,490,550,615,617,624,659,661,683,684,686,688,706,752,143,475,496,519,525,590,591,592,593,594,595,690,698,705,722,738,739,740,744,770,701,702,703,704,502,628,608,119,472,478,99,102,103,104,105,107,110,111,112,113,114,117,121,123,124,125,129,130,131,133,135,136,137,138,139,140,492,548,554,708,709,710,712,713,733,145,147,596])). % 2.32/2.43 cnf(1163,plain, % 2.32/2.43 (~P11(f12(a42,f12(a41,f12(x11631,f3(a37),a37),a37),a37),a37)), % 2.32/2.43 inference(scs_inference,[],[376,793])). % 2.32/2.43 cnf(1165,plain, % 2.32/2.43 (E(x11651,f7(f4(a1),x11651,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1167,plain, % 2.32/2.43 (~E(f12(x11671,x11672,f5(x11673,x11673,a1)),f3(f4(a1)))), % 2.32/2.43 inference(rename_variables,[],[1122])). % 2.32/2.43 cnf(1170,plain, % 2.32/2.43 (P12(x11701,f7(x11702,f7(f7(x11701,f8(a1),a1),x11703,a1),a1),a1)), % 2.32/2.43 inference(rename_variables,[],[1018])). % 2.32/2.43 cnf(1172,plain, % 2.32/2.43 (~E(f7(x11721,f7(x11722,f8(a1),a1),a1),x11722)), % 2.32/2.43 inference(scs_inference,[],[1098,978,1122,1018,1094,481,746,30])). % 2.32/2.43 cnf(1176,plain, % 2.32/2.43 (~P12(f7(f4(a1),f7(f4(a1),f7(x11761,x11762,a1),a1),a1),x11761,a1)), % 2.32/2.43 inference(scs_inference,[],[1106,1098,978,1122,1018,1138,1094,481,746,30,459,694])). % 2.32/2.43 cnf(1180,plain, % 2.32/2.43 (~E(f7(x11801,f8(a1),a1),x11801)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1182,plain, % 2.32/2.43 (~P12(f7(f5(f7(x11821,x11822,a1),x11823,a1),x11823,a1),x11822,a1)), % 2.32/2.43 inference(scs_inference,[],[384,1106,1098,978,1122,922,1018,1138,1094,481,746,30,459,694,650,603])). % 2.32/2.43 cnf(1183,plain, % 2.32/2.43 (~P12(f7(f5(x11831,x11832,a1),x11832,a1),x11831,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1186,plain, % 2.32/2.43 (~E(f7(x11861,f8(a1),a1),x11861)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1189,plain, % 2.32/2.43 (~E(f7(x11891,f8(a1),a1),x11891)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1192,plain, % 2.32/2.43 (~E(f7(x11921,f8(a1),a1),x11921)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1195,plain, % 2.32/2.43 (~E(f7(x11951,f8(a1),a1),x11951)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1198,plain, % 2.32/2.43 (~E(f7(x11981,f8(a1),a1),x11981)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1200,plain, % 2.32/2.43 (~P12(f7(x12001,f7(f7(f4(a1),f8(a1),a1),f7(x12002,x12003,a1),a1),a1),x12003,a1)), % 2.32/2.43 inference(scs_inference,[],[384,1180,1186,1189,1192,1195,1106,1098,978,1122,922,1055,1018,1138,1094,481,746,30,459,694,650,603,468,451,404,462,405,695])). % 2.32/2.43 cnf(1203,plain, % 2.32/2.43 (P12(x12031,f7(f5(f7(x12031,f8(a1),a1),x12032,a1),x12032,a1),a1)), % 2.32/2.43 inference(scs_inference,[],[384,1180,1186,1189,1192,1195,1106,1098,978,1122,922,1183,1055,1018,1138,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583])). % 2.32/2.43 cnf(1204,plain, % 2.32/2.43 (~P12(f7(f5(x12041,x12042,a1),x12042,a1),x12041,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1207,plain, % 2.32/2.43 (~P12(x12071,f5(x12071,x12072,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[909])). % 2.32/2.43 cnf(1209,plain, % 2.32/2.43 (P12(x12091,f7(x12092,f7(f7(f7(x12091,x12093,a1),f8(a1),a1),x12094,a1),a1),a1)), % 2.32/2.43 inference(scs_inference,[],[384,1180,1186,1189,1192,1195,1106,1098,978,1122,909,922,1183,1055,1018,1170,1138,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645])). % 2.32/2.43 cnf(1217,plain, % 2.32/2.43 (~E(f10(f7(f3(x12171),f8(a1),a1),x12172,x12171),x12172)), % 2.32/2.43 inference(scs_inference,[],[384,1180,1186,1189,1192,1195,1198,1106,1098,978,1122,909,1013,922,1183,1055,1018,1170,1138,1044,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457])). % 2.32/2.43 cnf(1218,plain, % 2.32/2.43 (~E(f7(x12181,f8(a1),a1),x12181)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1221,plain, % 2.32/2.43 (~E(f7(x12211,f8(a1),a1),x12211)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1223,plain, % 2.32/2.43 (~P12(f7(f7(f5(f5(x12231,x12232,a1),x12233,a1),x12233,a1),x12232,a1),x12231,a1)), % 2.32/2.43 inference(scs_inference,[],[384,1180,1186,1189,1192,1195,1198,1218,1106,1098,978,1122,909,1013,922,1183,1204,1055,1018,1170,1138,1044,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728])). % 2.32/2.43 cnf(1224,plain, % 2.32/2.43 (~P12(f7(f5(x12241,x12242,a1),x12242,a1),x12241,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1233,plain, % 2.32/2.43 (~E(f7(x12331,f8(a1),a1),x12331)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1236,plain, % 2.32/2.43 (~E(f7(x12361,f8(a1),a1),x12361)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1238,plain, % 2.32/2.43 (~E(f10(x12381,f7(f3(x12382),f8(a1),a1),x12382),f3(x12382))), % 2.32/2.43 inference(scs_inference,[],[845,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,954,1106,1098,978,1122,909,1013,922,1183,1204,1039,1055,1018,1170,1138,1044,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466])). % 2.32/2.43 cnf(1239,plain, % 2.32/2.43 (~E(f7(x12391,f8(a1),a1),x12391)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1241,plain, % 2.32/2.43 (~P12(f7(f5(f7(x12411,x12412,a1),x12413,a1),x12413,a1),x12411,a1)), % 2.32/2.43 inference(scs_inference,[],[845,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,954,1106,1098,978,1122,909,1013,922,1183,1204,1224,1039,1055,1018,1170,1138,1044,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605])). % 2.32/2.43 cnf(1242,plain, % 2.32/2.43 (~P12(f7(f5(x12421,x12422,a1),x12422,a1),x12421,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1244,plain, % 2.32/2.43 (~P12(x12441,f5(f5(x12441,x12442,a1),x12443,a1),a1)), % 2.32/2.43 inference(scs_inference,[],[845,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,954,1106,1098,978,1122,909,1207,1013,922,1183,1204,1224,1039,1055,1018,1170,1138,1044,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606])). % 2.32/2.43 cnf(1245,plain, % 2.32/2.43 (~P12(x12451,f5(x12451,x12452,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[909])). % 2.32/2.43 cnf(1250,plain, % 2.32/2.43 (~E(f7(x12501,f8(a1),a1),x12501)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1253,plain, % 2.32/2.43 (~E(f7(x12531,f8(a1),a1),x12531)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1256,plain, % 2.32/2.43 (~E(f7(x12561,f8(a1),a1),x12561)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1258,plain, % 2.32/2.43 (E(x12581,f7(x12581,f4(a1),a1))), % 2.32/2.43 inference(scs_inference,[],[845,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,954,1106,1098,978,1122,909,1207,1013,922,1183,1204,1224,1039,1055,1018,1170,1138,1044,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2])). % 2.32/2.43 cnf(1261,plain, % 2.32/2.43 (~E(f7(x12611,f8(a1),a1),x12611)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1264,plain, % 2.32/2.43 (E(x12641,f7(f4(a1),x12641,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1266,plain, % 2.32/2.43 (E(x12661,f7(f4(a1),x12661,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1268,plain, % 2.32/2.43 (E(x12681,f7(f4(a1),x12681,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1269,plain, % 2.32/2.43 (P17(f7(f4(a1),a2,a1))), % 2.32/2.43 inference(scs_inference,[],[845,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,871,954,1106,1098,1165,1264,1266,1268,978,1122,909,1207,1013,922,1183,1204,1224,1039,1055,1018,1170,1138,1044,165,169,170,160,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127])). % 2.32/2.43 cnf(1270,plain, % 2.32/2.43 (E(x12701,f7(f4(a1),x12701,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1272,plain, % 2.32/2.43 (E(x12721,f7(f4(a1),x12721,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1278,plain, % 2.32/2.43 (~P12(x12781,f5(x12781,x12782,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[909])). % 2.32/2.43 cnf(1284,plain, % 2.32/2.43 (E(x12841,f7(f4(a1),x12841,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1286,plain, % 2.32/2.43 (E(x12861,f7(f4(a1),x12861,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1287,plain, % 2.32/2.43 (P12(x12871,f7(f7(f7(f7(x12872,x12871,a1),x12873,a1),f8(a1),a1),x12874,a1),a1)), % 2.32/2.43 inference(scs_inference,[],[845,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,871,954,1106,1098,1165,1264,1266,1268,1270,1272,1284,978,1122,152,154,909,1207,1245,1013,922,1183,1204,1224,1039,1055,1018,1170,1138,1041,1049,1044,1151,183,197,165,169,170,186,184,160,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751])). % 2.32/2.43 cnf(1296,plain, % 2.32/2.43 (P12(x12961,f5(f7(f7(x12961,x12962,a1),f8(a1),a1),x12962,a1),a1)), % 2.32/2.43 inference(scs_inference,[],[845,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,871,954,1106,1098,1165,1264,1266,1268,1270,1272,1284,978,1122,152,154,394,268,909,1207,1245,1013,922,1183,1204,1224,1039,1055,1018,1170,1138,1041,1049,1044,1151,1009,183,197,165,169,170,186,184,160,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752])). % 2.32/2.43 cnf(1299,plain, % 2.32/2.43 (~P12(x12991,f4(a1),a1)), % 2.32/2.43 inference(rename_variables,[],[382])). % 2.32/2.43 cnf(1307,plain, % 2.32/2.43 (~E(f7(x13071,f8(a1),a1),x13071)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1310,plain, % 2.32/2.43 (~P12(x13101,x13101,a2)), % 2.32/2.43 inference(rename_variables,[],[898])). % 2.32/2.43 cnf(1320,plain, % 2.32/2.43 (~E(f34(f7(f4(a1),f8(a1),a1),f15(f12(x13201,f3(x13202),x13203),x13202),x13202),f3(x13202))), % 2.32/2.43 inference(scs_inference,[],[845,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,850,871,954,1106,1098,1165,1264,1266,1268,1270,1272,1284,978,1122,310,224,152,154,394,268,150,898,909,1207,1245,912,1013,922,1183,1204,1224,1039,1055,1146,1064,1018,1170,1138,1041,1049,1044,1151,1009,183,197,382,151,165,169,170,186,184,160,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470])). % 2.32/2.43 cnf(1321,plain, % 2.32/2.43 (~E(f7(x13211,f8(a1),a1),x13211)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1324,plain, % 2.32/2.43 (~E(f12(x13241,x13242,f5(x13243,x13243,a1)),f3(f4(a1)))), % 2.32/2.43 inference(rename_variables,[],[1122])). % 2.32/2.43 cnf(1325,plain, % 2.32/2.43 (~E(f7(x13251,f8(a1),a1),x13251)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1328,plain, % 2.32/2.43 (~E(f10(x13281,f12(x13282,f3(x13283),x13284),x13283),x13281)), % 2.32/2.43 inference(rename_variables,[],[862])). % 2.32/2.43 cnf(1329,plain, % 2.32/2.43 (~E(f7(x13291,f8(a1),a1),x13291)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1335,plain, % 2.32/2.43 (E(x13351,f7(f4(a1),x13351,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1337,plain, % 2.32/2.43 (E(x13371,f7(f4(a1),x13371,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1339,plain, % 2.32/2.43 (E(x13391,f7(f4(a1),x13391,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1341,plain, % 2.32/2.43 (P15(f36(x13411,x13412,a1),x13412,a1)), % 2.32/2.43 inference(rename_variables,[],[1003])). % 2.32/2.43 cnf(1344,plain, % 2.32/2.43 (~P12(f7(f5(x13441,x13442,a1),x13442,a1),x13441,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1347,plain, % 2.32/2.43 (E(x13471,f7(f4(a1),x13471,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1349,plain, % 2.32/2.43 (~E(f7(x13491,f8(a1),a1),x13491)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1352,plain, % 2.32/2.43 (E(f7(x13521,f4(a1),a1),x13521)), % 2.32/2.43 inference(rename_variables,[],[219])). % 2.32/2.43 cnf(1354,plain, % 2.32/2.43 (E(x13541,f7(f4(a1),x13541,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1355,plain, % 2.32/2.43 (P12(f4(a1),f8(a1),f7(f4(a1),a1,a1))), % 2.32/2.43 inference(scs_inference,[],[933,845,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,1321,1325,1329,850,871,862,1114,1113,954,1106,1103,1118,1098,1165,1264,1266,1268,1270,1272,1284,1286,1335,1337,1339,1347,1354,978,1122,1167,986,1108,1029,980,310,224,152,154,394,268,150,1134,898,909,1207,1245,1003,912,1013,922,1183,1204,1224,1242,1039,1055,1146,1064,1018,1170,1138,1041,1049,1044,1151,1009,183,197,382,151,165,169,170,186,184,160,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470,806,775,492,108,120,110,121,661,733,134,474,129,117,102])). % 2.32/2.43 cnf(1356,plain, % 2.32/2.43 (E(x13561,f7(f4(a1),x13561,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1365,plain, % 2.32/2.43 (E(x13651,f7(f4(a1),x13651,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1367,plain, % 2.32/2.43 (~E(f7(x13671,f8(a1),a1),x13671)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1368,plain, % 2.32/2.43 (~P12(f7(f5(f5(f7(x13681,x13682,a1),x13682,a1),x13683,a1),x13683,a1),x13681,a1)), % 2.32/2.43 inference(scs_inference,[],[933,845,217,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,1321,1325,1329,1349,850,871,862,1114,1113,954,1106,1103,1118,1098,1165,1264,1266,1268,1270,1272,1284,1286,1335,1337,1339,1347,1354,1356,978,1122,1167,986,1108,1029,980,310,224,152,154,394,268,150,1149,1134,898,1310,909,1207,1245,1003,912,1013,922,1183,1204,1224,1242,1039,1055,1146,1064,1018,1170,1138,1041,1049,1044,1151,1011,1009,183,197,382,151,165,169,170,186,184,160,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470,806,775,492,108,120,110,121,661,733,134,474,129,117,102,615,686,132,145,3,706])). % 2.32/2.43 cnf(1371,plain, % 2.32/2.43 (E(x13711,f7(f4(a1),x13711,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1373,plain, % 2.32/2.43 (E(x13731,f7(f4(a1),x13731,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1375,plain, % 2.32/2.43 (E(x13751,f7(f4(a1),x13751,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1377,plain, % 2.32/2.43 (E(x13771,f7(f4(a1),x13771,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1380,plain, % 2.32/2.43 (~E(f4(a1),f7(f5(f8(a1),x13801,a1),x13801,a1))), % 2.32/2.43 inference(scs_inference,[],[933,845,217,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,1321,1325,1329,1349,850,871,847,862,1116,1114,1113,1111,1107,954,1106,1103,1118,1098,1165,1264,1266,1268,1270,1272,1284,1286,1335,1337,1339,1347,1354,1356,1365,1371,1373,1375,978,1122,1167,986,1108,1029,980,310,224,152,154,394,268,150,1149,1134,1020,898,1310,909,1207,1245,1003,912,1013,922,1183,1204,1224,1242,1344,1039,1055,1146,1064,1018,1170,1138,1041,1049,1044,1151,1011,1009,183,197,382,151,165,169,170,186,184,160,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470,806,775,492,108,120,110,121,661,733,134,474,129,117,102,615,686,132,145,3,706,109,107,124,113,142,100])). % 2.32/2.43 cnf(1381,plain, % 2.32/2.43 (~P12(f7(f5(x13811,x13812,a1),x13812,a1),x13811,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1386,plain, % 2.32/2.43 (E(x13861,f7(f4(a1),x13861,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1394,plain, % 2.32/2.43 (~E(f12(f5(x13941,x13941,a1),x13942,f5(x13943,x13943,a1)),f3(f7(f4(a1),f4(a1),a1)))), % 2.32/2.43 inference(scs_inference,[],[933,845,217,219,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,1321,1325,1329,1349,850,871,971,847,862,1128,1116,1114,1113,1111,1107,954,1106,1103,1118,1098,1165,1264,1266,1268,1270,1272,1284,1286,1335,1337,1339,1347,1354,1356,1365,1371,1373,1375,1377,978,1122,1167,1324,986,1108,1029,980,310,224,152,154,394,268,150,1149,1134,1020,898,1310,909,1207,1245,994,1003,912,1013,922,1183,1204,1224,1242,1344,1039,1055,1146,1064,1018,1170,1138,1052,1041,1049,1044,1151,1011,1009,183,197,393,382,151,165,169,170,186,184,160,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470,806,775,492,108,120,110,121,661,733,134,474,129,117,102,615,686,132,145,3,706,109,107,124,113,142,100,710,139,809,478,133])). % 2.32/2.43 cnf(1397,plain, % 2.32/2.43 (E(x13971,f7(f4(a1),x13971,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1399,plain, % 2.32/2.43 (~E(f7(x13991,f8(a1),a1),x13991)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1404,plain, % 2.32/2.43 (~E(f7(x14041,f8(a1),a1),x14041)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1407,plain, % 2.32/2.43 (E(x14071,f7(f4(a1),x14071,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1412,plain, % 2.32/2.43 (E(x14121,f7(f4(a1),x14121,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1414,plain, % 2.32/2.43 (E(x14141,f7(f4(a1),x14141,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1416,plain, % 2.32/2.43 (E(x14161,f7(f4(a1),x14161,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1418,plain, % 2.32/2.43 (E(x14181,f7(f4(a1),x14181,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1420,plain, % 2.32/2.43 (E(x14201,f7(f4(a1),x14201,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1423,plain, % 2.32/2.43 (E(x14231,f7(f4(a1),x14231,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1425,plain, % 2.32/2.43 (E(f7(x14251,f4(a1),a1),x14251)), % 2.32/2.43 inference(rename_variables,[],[219])). % 2.32/2.43 cnf(1427,plain, % 2.32/2.43 (E(x14271,f7(f4(a1),x14271,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1429,plain, % 2.32/2.43 (E(f7(x14291,f4(a1),a1),x14291)), % 2.32/2.43 inference(rename_variables,[],[219])). % 2.32/2.43 cnf(1431,plain, % 2.32/2.43 (E(x14311,f7(f4(a1),x14311,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1433,plain, % 2.32/2.43 (E(x14331,f7(f4(a1),x14331,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1437,plain, % 2.32/2.43 (E(x14371,f7(f4(a1),x14371,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1439,plain, % 2.32/2.43 (E(x14391,f7(f4(a1),x14391,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1441,plain, % 2.32/2.43 (E(x14411,f7(f4(a1),x14411,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1443,plain, % 2.32/2.43 (E(x14431,f7(f4(a1),x14431,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1445,plain, % 2.32/2.43 (E(x14451,f7(f4(a1),x14451,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1447,plain, % 2.32/2.43 (E(x14471,f7(f4(a1),x14471,a1))), % 2.32/2.43 inference(rename_variables,[],[1098])). % 2.32/2.43 cnf(1452,plain, % 2.32/2.43 (~P15(f7(f7(f8(a1),f8(a1),a1),f7(x14521,f5(x14522,x14522,a1),a1),a1),x14521,a1)), % 2.32/2.43 inference(scs_inference,[],[376,933,845,217,219,1352,1425,1429,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,1321,1325,1329,1349,1367,1399,850,871,971,847,862,1129,1128,1127,1126,1125,1124,1121,1120,1117,1116,1115,1114,1113,1112,1111,1110,1109,1107,954,1106,1103,982,1104,1118,1098,1165,1264,1266,1268,1270,1272,1284,1286,1335,1337,1339,1347,1354,1356,1365,1371,1373,1375,1377,1386,1397,1407,1412,1414,1416,1418,1420,1423,1427,1431,1433,1437,1439,1441,1443,1445,1447,978,1122,1167,1324,986,1108,1101,1029,980,981,310,224,152,154,394,268,150,1150,1149,1134,1020,898,1310,909,1207,1245,994,1003,1341,912,1013,922,1183,1204,1224,1242,1344,1039,1055,1146,1064,1018,1170,1138,1052,1144,1041,1049,1044,1151,1011,1009,183,197,393,382,151,165,169,170,186,184,160,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470,806,775,492,108,120,110,121,661,733,134,474,129,117,102,615,686,132,145,3,706,109,107,124,113,142,100,710,139,809,478,133,135,543,490,473,147,659,131,143,119,130,125,101,140,104,99,128,137,114,118,111,105,138,136,103,112,123,597,741])). % 2.32/2.43 cnf(1458,plain, % 2.32/2.43 (P15(f4(a1),f5(x14581,x14581,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[981])). % 2.32/2.43 cnf(1466,plain, % 2.32/2.43 (~P12(f7(x14661,f8(a1),a1),x14661,f7(f4(a1),a1,a1))), % 2.32/2.43 inference(rename_variables,[],[1132])). % 2.32/2.43 cnf(1467,plain, % 2.32/2.43 (P12(x14671,f7(x14671,f8(a1),a1),f7(f4(a1),a1,a1))), % 2.32/2.43 inference(rename_variables,[],[1102])). % 2.32/2.43 cnf(1472,plain, % 2.32/2.43 (~E(f7(x14721,f8(a1),a1),x14721)), % 2.32/2.43 inference(rename_variables,[],[384])). % 2.32/2.43 cnf(1475,plain, % 2.32/2.43 (P12(x14751,f7(x14751,f8(a1),a1),f7(f4(a1),a1,a1))), % 2.32/2.43 inference(rename_variables,[],[1102])). % 2.32/2.43 cnf(1478,plain, % 2.32/2.43 (P12(x14781,f7(x14781,f8(a1),a1),f7(f4(a1),a1,a1))), % 2.32/2.43 inference(rename_variables,[],[1102])). % 2.32/2.43 cnf(1481,plain, % 2.32/2.43 (~P12(f7(f5(x14811,x14812,a1),x14812,a1),x14811,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1488,plain, % 2.32/2.43 (~P12(x14881,f4(a1),a1)), % 2.32/2.43 inference(rename_variables,[],[382])). % 2.32/2.43 cnf(1491,plain, % 2.32/2.43 (~P12(f7(f5(x14911,x14912,a1),x14912,a1),x14911,a1)), % 2.32/2.43 inference(rename_variables,[],[922])). % 2.32/2.43 cnf(1509,plain, % 2.32/2.43 (P12(x15091,f7(x15091,f8(a1),a1),f7(f4(a1),a1,a1))), % 2.32/2.43 inference(rename_variables,[],[1102])). % 2.32/2.43 cnf(1511,plain, % 2.32/2.43 (~P15(f7(f7(f4(a1),f8(a1),a1),f7(x15111,f7(x15112,f5(x15113,x15113,a1),a1),a1),a1),x15112,a1)), % 2.32/2.43 inference(scs_inference,[],[376,933,845,217,219,1352,1425,1429,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,1321,1325,1329,1349,1367,1399,1404,850,871,971,847,862,1328,865,1129,1128,1127,1126,1125,1124,1121,1120,1117,1116,1115,1114,1113,1112,1111,1110,1109,1107,954,1106,1103,982,1104,1118,1098,1165,1264,1266,1268,1270,1272,1284,1286,1335,1337,1339,1347,1354,1356,1365,1371,1373,1375,1377,1386,1397,1407,1412,1414,1416,1418,1420,1423,1427,1431,1433,1437,1439,1441,1443,1445,1447,1102,1467,1475,1478,978,1122,1167,1324,986,1108,1101,1029,1025,980,981,1458,310,224,152,154,394,268,150,1150,1149,1132,1134,1020,898,1310,990,909,1207,1245,1278,994,1003,1341,912,1013,922,1183,1204,1224,1242,1344,1381,1481,1491,1142,1039,1055,1146,1064,1018,1170,1066,1138,1052,1144,1041,1049,1044,1077,1151,1130,1011,1009,183,197,393,382,1299,1488,151,165,169,170,186,156,184,160,148,163,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470,806,775,492,108,120,110,121,661,733,134,474,129,117,102,615,686,132,145,3,706,109,107,124,113,142,100,710,139,809,478,133,135,543,490,473,147,659,131,143,119,130,125,101,140,104,99,128,137,114,118,111,105,138,136,103,112,123,597,741,564,771,591,594,698,595,475,593,705,739,738,525,590,596,722,519,592,740,770,704])). % 2.32/2.43 cnf(1512,plain, % 2.32/2.43 (~P15(f7(f7(f4(a1),f8(a1),a1),f7(x15121,x15122,a1),a1),x15122,a1)), % 2.32/2.43 inference(rename_variables,[],[1142])). % 2.32/2.43 cnf(1531,plain, % 2.32/2.43 (~P12(x15311,f5(f7(f4(a1),x15311,a1),x15312,a1),a1)), % 2.32/2.43 inference(scs_inference,[],[376,933,845,217,219,1352,1425,1429,384,1180,1186,1189,1192,1195,1198,1218,1221,1233,1236,1239,1250,1253,1256,1261,1307,1321,1325,1329,1349,1367,1399,1404,1472,850,871,971,847,862,1328,865,1129,1128,1127,1126,1125,1124,1121,1120,1117,1116,1115,1114,1113,1112,1111,1110,1109,1107,954,1106,1103,982,1104,1118,1098,1165,1264,1266,1268,1270,1272,1284,1286,1335,1337,1339,1347,1354,1356,1365,1371,1373,1375,1377,1386,1397,1407,1412,1414,1416,1418,1420,1423,1427,1431,1433,1437,1439,1441,1443,1445,1447,1102,1467,1475,1478,1509,978,1122,1167,1324,986,1108,1101,1029,1025,980,981,1458,310,224,152,154,394,268,150,1150,1149,1132,1466,1134,1020,898,1310,990,909,1207,1245,1278,994,1003,1341,912,1013,922,1183,1204,1224,1242,1344,1381,1481,1491,1016,1142,1512,1039,1055,1146,1064,1018,1170,1066,1138,1052,1144,1041,1049,1044,1077,1151,1130,1011,1009,183,197,393,382,1299,1488,151,165,169,170,186,156,184,160,148,163,158,161,1094,481,746,30,459,694,650,603,468,451,404,462,405,695,583,729,645,749,689,457,467,728,576,609,628,406,456,466,605,606,725,401,726,547,2,805,106,122,126,127,141,513,514,682,711,144,146,751,655,707,683,752,653,688,708,803,617,517,709,647,470,806,775,492,108,120,110,121,661,733,134,474,129,117,102,615,686,132,145,3,706,109,107,124,113,142,100,710,139,809,478,133,135,543,490,473,147,659,131,143,119,130,125,101,140,104,99,128,137,114,118,111,105,138,136,103,112,123,597,741,564,771,591,594,698,595,475,593,705,739,738,525,590,596,722,519,592,740,770,704,702,701,703,502,460,413,608])). % 2.32/2.43 cnf(1554,plain, % 2.32/2.43 (E(a42,a41)), % 2.32/2.43 inference(scs_inference,[],[1163,787])). % 2.32/2.43 cnf(1558,plain, % 2.32/2.43 (~P12(x15581,f5(f5(x15581,x15582,a1),x15583,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[1244])). % 2.32/2.43 cnf(1584,plain, % 2.32/2.43 (~P12(x15841,f7(f4(a1),x15841,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[1092])). % 2.32/2.43 cnf(1586,plain, % 2.32/2.43 (P12(x15861,f7(f7(f7(x15861,x15862,a1),x15863,a1),f8(a1),a1),a1)), % 2.32/2.43 inference(scs_inference,[],[1163,391,1320,1217,396,340,1092,1039,1244,1241,1200,787,608,451,694,457,467,695,650,729,468,689,404,606,645])). % 2.32/2.43 cnf(1600,plain, % 2.32/2.43 (E(x16001,f7(x16001,f4(a1),a1))), % 2.32/2.43 inference(rename_variables,[],[1258])). % 2.32/2.43 cnf(1606,plain, % 2.32/2.43 (P12(x16061,f7(f7(f7(f7(x16062,x16061,a1),x16063,a1),f8(a1),a1),x16064,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[1287])). % 2.32/2.43 cnf(1613,plain, % 2.32/2.43 (~P12(f7(f7(x16131,f5(x16132,x16133,a1),a1),x16133,a1),x16132,a1)), % 2.32/2.43 inference(scs_inference,[],[1163,1025,391,1320,1217,1258,396,340,906,920,1092,1039,1244,1558,1241,1200,1287,787,608,451,694,457,467,695,650,729,468,689,404,606,645,406,413,462,603,1094,609,405,749,583,401,728])). % 2.32/2.43 cnf(1628,plain, % 2.32/2.43 (E(x16281,f15(f15(x16281,x16282),x16282))), % 2.32/2.43 inference(scs_inference,[],[1163,216,1025,391,889,1320,1217,1258,396,397,340,906,920,1092,1039,1244,1558,1241,1200,1287,787,608,451,694,457,467,695,650,729,468,689,404,606,645,406,413,462,603,1094,609,405,749,583,401,728,456,547,466,605,726,2])). % 2.32/2.43 cnf(1633,plain, % 2.32/2.43 (~P12(x16331,x16331,a1)), % 2.32/2.43 inference(rename_variables,[],[378])). % 2.32/2.43 cnf(1640,plain, % 2.32/2.43 (P12(f4(a1),f7(f5(f8(a1),f7(f4(a1),x16401,a1),a1),f7(f4(a1),x16401,a1),a1),a1)), % 2.32/2.43 inference(scs_inference,[],[1163,216,1106,1025,391,889,1320,1217,1258,1355,1380,152,378,396,397,340,906,920,1092,915,1039,1244,1558,1241,1200,1368,1511,1209,1287,161,787,608,451,694,457,467,695,650,729,468,689,404,606,645,406,413,462,603,1094,609,405,749,583,401,728,456,547,466,605,726,2,553,714,513,707,655])). % 2.32/2.43 cnf(1650,plain, % 2.32/2.43 (~E(f12(x16501,x16502,x16503),x16502)), % 2.32/2.43 inference(rename_variables,[],[380])). % 2.32/2.43 cnf(1655,plain, % 2.32/2.43 (P12(x16551,f7(f7(f7(x16552,f7(x16551,x16553,a1),a1),x16554,a1),f8(a1),a1),a1)), % 2.32/2.43 inference(scs_inference,[],[1163,216,1106,380,1025,391,889,1320,1217,1394,1258,1355,1380,152,378,396,397,340,906,920,1092,915,1039,1244,1558,1452,1241,1200,1368,1511,1209,1296,1287,1606,925,184,161,787,608,451,694,457,467,695,650,729,468,689,404,606,645,406,413,462,603,1094,609,405,749,583,401,728,456,547,466,605,726,2,553,714,513,707,655,648,806,713,752])). % 2.32/2.43 cnf(1660,plain, % 2.32/2.43 (~E(f12(x16601,x16602,x16603),x16602)), % 2.32/2.43 inference(rename_variables,[],[380])). % 2.32/2.43 cnf(1663,plain, % 2.32/2.43 (~E(f12(x16631,x16632,x16633),x16632)), % 2.32/2.43 inference(rename_variables,[],[380])). % 2.32/2.43 cnf(1677,plain, % 2.32/2.43 (~P12(x16771,f7(f4(a1),f36(x16772,x16771,a1),a1),a1)), % 2.32/2.43 inference(scs_inference,[],[1163,216,1106,380,1650,1660,1663,1025,384,391,889,1320,1269,1238,1217,1394,1258,1600,1355,1380,152,150,378,1633,396,397,340,906,920,1092,1584,915,1039,1244,1558,1452,1182,1241,1200,1368,1511,1209,1296,1287,1606,925,184,161,787,608,451,694,457,467,695,650,729,468,689,404,606,645,406,413,462,603,1094,609,405,749,583,401,728,456,547,466,605,726,2,553,714,513,707,655,648,806,713,752,803,470,733,805,682,127,615])). % 2.32/2.43 cnf(1935,plain, % 2.32/2.43 (~E(f7(x19351,f7(x19352,f8(a1),a1),a1),x19352)), % 2.32/2.43 inference(rename_variables,[],[1172])). % 2.32/2.43 cnf(1947,plain, % 2.32/2.43 (~P12(x19471,f5(f7(f4(a1),x19471,a1),x19472,a1),a1)), % 2.32/2.43 inference(rename_variables,[],[1531])). % 2.32/2.43 cnf(1967,plain, % 2.32/2.43 (~E(f7(x19671,f7(x19672,f8(a1),a1),a1),x19672)), % 2.32/2.43 inference(rename_variables,[],[1172])). % 2.32/2.43 cnf(1972,plain, % 2.32/2.43 (~P12(f7(f7(f5(f5(x19721,x19722,a1),x19723,a1),x19723,a1),x19722,a1),x19721,a1)), % 2.32/2.43 inference(rename_variables,[],[1223])). % 2.32/2.43 cnf(1975,plain, % 2.32/2.43 (~E(f7(x19751,f7(x19752,f8(a1),a1),a1),x19752)), % 2.32/2.43 inference(rename_variables,[],[1172])). % 2.32/2.43 cnf(1989,plain, % 2.32/2.43 (~P12(f7(f7(f5(f5(x19891,x19892,a1),x19893,a1),x19893,a1),x19892,a1),x19891,a1)), % 2.32/2.43 inference(rename_variables,[],[1223])). % 2.32/2.43 cnf(2009,plain, % 2.32/2.43 ($false), % 2.32/2.43 inference(scs_inference,[],[1554,1122,1172,1935,1967,1975,1628,1640,375,397,1223,1972,1989,1203,1176,994,1613,1531,1947,1677,1586,1655,451,468,467,725,695,413,609,645,608,729,689,694,405,462,404,583,650,457,456,406,606,726,603,401,1094,728,749,547,466,605,2]), % 2.32/2.43 ['proof']). % 2.32/2.43 % SZS output end Proof % 2.32/2.43 % Total time :1.570000s %------------------------------------------------------------------------------