%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW265+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n019.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 18:06:34 EDT 2024 % Result : Theorem 5.99s 5.92s % Output : CNFRefutation 5.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWW265+1 : TPTP v8.2.0. Released v5.2.0. % 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.33 % Computer : n019.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 : Wed Jun 19 05:51:09 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.55 start to proof:theBenchmark % 5.78/5.84 %------------------------------------------- % 5.78/5.84 % File :CSE---1.7 % 5.78/5.84 % Problem :theBenchmark % 5.78/5.84 % Transform :cnf % 5.78/5.84 % Format :tptp:raw % 5.78/5.84 % Command :java -jar mcs_scs.jar %d %s % 5.78/5.84 % 5.78/5.84 % Result :Theorem 4.640000s % 5.78/5.84 % Output :CNFRefutation 4.640000s % 5.78/5.84 %------------------------------------------- % 5.78/5.84 %------------------------------------------------------------------------------ % 5.78/5.84 % File : SWW265+1 : TPTP v8.2.0. Released v5.2.0. % 5.78/5.84 % Domain : Software Verification % 5.78/5.84 % Problem : Fundamental Theorem of Algebra 438531, 1000 axioms selected % 5.78/5.84 % Version : Especial. % 5.78/5.84 % English : % 5.78/5.84 % 5.78/5.84 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 5.78/5.84 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 5.78/5.84 % Source : [Bla11] % 5.78/5.84 % Names : fta_438531.1000.p [Bla11] % 5.78/5.84 % 5.78/5.84 % Status : Theorem % 5.78/5.84 % Rating : 0.58 v8.2.0, 0.69 v8.1.0, 0.64 v7.5.0, 0.56 v7.4.0, 0.57 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.48 v7.0.0, 0.50 v6.4.0, 0.58 v6.3.0, 0.46 v6.2.0, 0.52 v6.1.0, 0.70 v6.0.0, 0.65 v5.5.0, 0.78 v5.4.0, 0.82 v5.3.0, 0.85 v5.2.0 % 5.78/5.84 % Syntax : Number of formulae : 1290 ( 390 unt; 0 def) % 5.78/5.84 % Number of atoms : 2968 ( 765 equ) % 5.78/5.84 % Maximal formula atoms : 8 ( 2 avg) % 5.78/5.84 % Number of connectives : 1841 ( 163 ~; 53 |; 97 &) % 5.78/5.84 % ( 226 <=>;1302 =>; 0 <=; 0 <~>) % 5.78/5.84 % Maximal formula depth : 13 ( 4 avg) % 5.78/5.84 % Maximal term depth : 12 ( 2 avg) % 5.78/5.84 % Number of predicates : 83 ( 82 usr; 0 prp; 1-3 aty) % 5.78/5.84 % Number of functors : 45 ( 45 usr; 16 con; 0-3 aty) % 5.78/5.84 % Number of variables : 2690 (2666 !; 24 ?) % 5.78/5.84 % SPC : FOF_THM_RFO_SEQ % 5.78/5.84 % 5.78/5.84 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 5.78/5.84 % 2011-03-01 12:00:39 % 5.78/5.84 %------------------------------------------------------------------------------ % 5.78/5.84 %----Relevant facts (998) % 5.78/5.84 fof(fact_ext,axiom, % 5.78/5.84 ! [V_g_2,V_f_2] : % 5.78/5.84 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 5.78/5.84 => V_f_2 = V_g_2 ) ). % 5.78/5.84 % 5.78/5.84 fof(fact_t_I1_J,axiom, % 5.78/5.84 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____) ). % 5.78/5.84 % 5.78/5.84 fof(fact_t_I2_J,axiom, % 5.78/5.84 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ). % 5.78/5.84 % 5.78/5.85 fof(fact_m_I1_J,axiom, % 5.78/5.85 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ). % 5.78/5.85 % 5.78/5.85 fof(fact_assms,axiom, % 5.78/5.85 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)) ). % 5.78/5.85 % 5.78/5.85 fof(fact_w0,axiom, % 5.78/5.85 v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.78/5.85 % 5.78/5.85 fof(fact_kas_I1_J,axiom, % 5.78/5.85 v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.78/5.85 % 5.78/5.85 fof(fact_m_I2_J,axiom, % 5.78/5.85 ! [B_z] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) % 5.78/5.85 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),v_m____) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_kas_I2_J,axiom, % 5.78/5.85 v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.78/5.85 % 5.78/5.85 fof(fact__0960_A_060_At_A_094_Ak_096,axiom, % 5.78/5.85 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)) ). % 5.78/5.85 % 5.78/5.85 fof(fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096,axiom, % 5.78/5.85 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))) ). % 5.78/5.85 % 5.78/5.85 fof(fact_tw,axiom, % 5.78/5.85 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ). % 5.78/5.85 % 5.78/5.85 fof(fact_complex__of__real__power,axiom, % 5.78/5.85 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,V_x)),V_n) = c_RealVector_Oof__real(tc_Complex_Ocomplex,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) ). % 5.78/5.85 % 5.78/5.85 fof(fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096,axiom, % 5.78/5.85 ? [B_m] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m) % 5.78/5.85 & ! [B_z] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) % 5.78/5.85 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),B_m) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_norm__ratiotest__lemma,axiom, % 5.78/5.85 ! [V_y,V_x,V_c,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_RealVector_Onorm__class_Onorm(T_a,V_y))) % 5.78/5.85 => V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_power__Suc__less,axiom, % 5.78/5.85 ! [V_n,V_a,T_a] : % 5.78/5.85 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.78/5.85 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096,axiom, % 5.78/5.85 ! [V_d2] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_d2) % 5.78/5.85 => ? [B_e] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e) % 5.78/5.85 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_e,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.78/5.85 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_e,V_d2) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_norm__power__ineq,axiom, % 5.78/5.85 ! [V_n,V_x,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.78/5.85 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n)) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__mult__le__cancel__iff1,axiom, % 5.78/5.85 ! [V_y_2,V_x_2,V_z_2] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2)) % 5.78/5.85 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__mult__le__cancel__iff2,axiom, % 5.78/5.85 ! [V_y_2,V_x_2,V_z_2] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2)) % 5.78/5.85 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_norm__mult__less,axiom, % 5.78/5.85 ! [V_s,V_y,V_r,V_x,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) % 5.78/5.85 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)) ) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_norm__mult__ineq,axiom, % 5.78/5.85 ! [V_y,V_x,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.85 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_zero__less__norm__iff,axiom, % 5.78/5.85 ! [V_x_2,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2)) % 5.78/5.85 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_norm__le__zero__iff,axiom, % 5.78/5.85 ! [V_x_2,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.85 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_power__gt1__lemma,axiom, % 5.78/5.85 ! [V_n,V_a,T_a] : % 5.78/5.85 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.85 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_less_Oprems,axiom, % 5.78/5.85 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____)) ). % 5.78/5.85 % 5.78/5.85 fof(fact_w,axiom, % 5.78/5.85 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.78/5.85 % 5.78/5.85 fof(fact_nat__zero__less__power__iff,axiom, % 5.78/5.85 ! [V_n_2,V_x_2] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)) % 5.78/5.85 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) % 5.78/5.85 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_nat__power__less__imp__less,axiom, % 5.78/5.85 ! [V_n,V_m,V_i] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)) % 5.78/5.85 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_power__mult,axiom, % 5.78/5.85 ! [V_n,V_m,V_a,T_a] : % 5.78/5.85 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.85 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_power__one__right,axiom, % 5.78/5.85 ! [V_a,T_a] : % 5.78/5.85 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.85 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_constant__def,axiom, % 5.78/5.85 ! [V_f_2,T_b,T_a] : % 5.78/5.85 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_a,T_b,V_f_2) % 5.78/5.85 <=> ! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_power__0,axiom, % 5.78/5.85 ! [V_a,T_a] : % 5.78/5.85 ( class_Power_Opower(T_a) % 5.78/5.85 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_power__eq__imp__eq__base,axiom, % 5.78/5.85 ! [V_b,V_n,V_a,T_a] : % 5.78/5.85 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.85 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.78/5.85 => V_a = V_b ) ) ) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_one__less__power,axiom, % 5.78/5.85 ! [V_n,V_a,T_a] : % 5.78/5.85 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.78/5.85 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__le__antisym,axiom, % 5.78/5.85 ! [V_w,V_z] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) % 5.78/5.85 => V_z = V_w ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__le__trans,axiom, % 5.78/5.85 ! [V_k,V_j,V_i] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j) % 5.78/5.85 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k) % 5.78/5.85 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__le__linear,axiom, % 5.78/5.85 ! [V_w,V_z] : % 5.78/5.85 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) % 5.78/5.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__le__refl,axiom, % 5.78/5.85 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__mult__assoc,axiom, % 5.78/5.85 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)) ). % 5.78/5.85 % 5.78/5.85 fof(fact_real__mult__commute,axiom, % 5.78/5.85 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) ). % 5.78/5.85 % 5.78/5.85 fof(fact_of__real__eq__iff,axiom, % 5.78/5.85 ! [V_y_2,V_x_2,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.85 => ( c_RealVector_Oof__real(T_a,V_x_2) = c_RealVector_Oof__real(T_a,V_y_2) % 5.78/5.85 <=> V_x_2 = V_y_2 ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_mult__right_Ozero,axiom, % 5.78/5.85 ! [V_x,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_mult_Ozero__right,axiom, % 5.78/5.85 ! [V_a,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_mult__left_Ozero,axiom, % 5.78/5.85 ! [V_y,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_mult_Ozero__left,axiom, % 5.78/5.85 ! [V_b,T_a] : % 5.78/5.85 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.85 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_field__power__not__zero,axiom, % 5.78/5.85 ! [V_n,V_a,T_a] : % 5.78/5.85 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 5.78/5.85 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.85 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.85 % 5.78/5.85 fof(fact_power__eq__0__iff,axiom, % 5.78/5.85 ! [V_n_2,V_aa_2,T_a] : % 5.78/5.85 ( ( class_Power_Opower(T_a) % 5.78/5.85 & class_Rings_Omult__zero(T_a) % 5.78/5.85 & class_Rings_Ono__zero__divisors(T_a) % 5.78/5.85 & class_Rings_Ozero__neq__one(T_a) ) % 5.78/5.86 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.86 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.86 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__mult__distrib,axiom, % 5.78/5.86 ! [V_n,V_b,V_a,T_a] : % 5.78/5.86 ( class_Groups_Ocomm__monoid__mult(T_a) % 5.78/5.86 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__commutes,axiom, % 5.78/5.86 ! [V_n,V_a,T_a] : % 5.78/5.86 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.86 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__one,axiom, % 5.78/5.86 ! [V_n,T_a] : % 5.78/5.86 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.86 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_less__eq__real__def,axiom, % 5.78/5.86 ! [V_y_2,V_x_2] : % 5.78/5.86 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.78/5.86 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.78/5.86 | V_x_2 = V_y_2 ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__less__def,axiom, % 5.78/5.86 ! [V_y_2,V_x_2] : % 5.78/5.86 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.78/5.86 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.78/5.86 & V_x_2 != V_y_2 ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__mult__left__cancel,axiom, % 5.78/5.86 ! [V_b_2,V_aa_2,V_ca_2] : % 5.78/5.86 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.86 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2) % 5.78/5.86 <=> V_aa_2 = V_b_2 ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__mult__right__cancel,axiom, % 5.78/5.86 ! [V_b_2,V_aa_2,V_ca_2] : % 5.78/5.86 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.86 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_aa_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2) % 5.78/5.86 <=> V_aa_2 = V_b_2 ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__zero__not__eq__one,axiom, % 5.78/5.86 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__mult__1,axiom, % 5.78/5.86 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__mono,axiom, % 5.78/5.86 ! [V_n,V_b,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_zero__le__power,axiom, % 5.78/5.86 ! [V_n,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_zero__less__power,axiom, % 5.78/5.86 ! [V_n,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__0__left,axiom, % 5.78/5.86 ! [V_n,T_a] : % 5.78/5.86 ( ( class_Power_Opower(T_a) % 5.78/5.86 & class_Rings_Osemiring__0(T_a) ) % 5.78/5.86 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.86 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 5.78/5.86 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.86 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__increasing,axiom, % 5.78/5.86 ! [V_a,V_N,V_n,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_one__le__power,axiom, % 5.78/5.86 ! [V_n,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__strict__increasing,axiom, % 5.78/5.86 ! [V_a,V_N,V_n,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__less__imp__less__exp,axiom, % 5.78/5.86 ! [V_n,V_m,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) % 5.78/5.86 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__strict__increasing__iff,axiom, % 5.78/5.86 ! [V_y_2,V_x_2,V_b_2,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)) % 5.78/5.86 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__inject__exp,axiom, % 5.78/5.86 ! [V_n_2,V_ma_2,V_aa_2,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_aa_2) % 5.78/5.86 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_ma_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) % 5.78/5.86 <=> V_ma_2 = V_n_2 ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_norm__zero,axiom, % 5.78/5.86 ! [T_a] : % 5.78/5.86 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.86 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_norm__eq__zero,axiom, % 5.78/5.86 ! [V_x_2,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.86 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.86 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_norm__mult,axiom, % 5.78/5.86 ! [V_y,V_x,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.78/5.86 => c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y)) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real__eq__0__iff,axiom, % 5.78/5.86 ! [V_x_2,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.86 => ( c_RealVector_Oof__real(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.86 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real_Ozero,axiom, % 5.78/5.86 ! [T_a] : % 5.78/5.86 ( ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.86 & class_RealVector_Oreal__normed__vector(T_a) ) % 5.78/5.86 => c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real__0,axiom, % 5.78/5.86 ! [T_a] : % 5.78/5.86 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.86 => c_RealVector_Oof__real(T_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__mult__less__mono2,axiom, % 5.78/5.86 ! [V_y,V_x,V_z] : % 5.78/5.86 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y) % 5.78/5.86 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__mult__order,axiom, % 5.78/5.86 ! [V_y,V_x] : % 5.78/5.86 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) % 5.78/5.86 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_real__mult__less__iff1,axiom, % 5.78/5.86 ! [V_y_2,V_x_2,V_z_2] : % 5.78/5.86 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2)) % 5.78/5.86 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_norm__ge__zero,axiom, % 5.78/5.86 ! [V_x,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_norm__not__less__zero,axiom, % 5.78/5.86 ! [V_x,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.86 => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_norm__one,axiom, % 5.78/5.86 ! [T_a] : % 5.78/5.86 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.78/5.86 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real__mult,axiom, % 5.78/5.86 ! [V_y,V_x,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.86 => c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_RealVector_Oof__real(T_a,V_x)),c_RealVector_Oof__real(T_a,V_y)) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_norm__power,axiom, % 5.78/5.86 ! [V_n,V_x,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.78/5.86 => c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real__1,axiom, % 5.78/5.86 ! [T_a] : % 5.78/5.86 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.86 => c_RealVector_Oof__real(T_a,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real__power,axiom, % 5.78/5.86 ! [V_n,V_x,T_a] : % 5.78/5.86 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.86 => c_RealVector_Oof__real(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_RealVector_Oof__real(T_a,V_x)),V_n) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__less__imp__less__base,axiom, % 5.78/5.86 ! [V_b,V_n,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__strict__mono,axiom, % 5.78/5.86 ! [V_n,V_b,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__decreasing,axiom, % 5.78/5.86 ! [V_a,V_N,V_n,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__strict__decreasing,axiom, % 5.78/5.86 ! [V_a,V_N,V_n,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__le__imp__le__exp,axiom, % 5.78/5.86 ! [V_n,V_m,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__increasing__iff,axiom, % 5.78/5.86 ! [V_y_2,V_x_2,V_b_2,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)) % 5.78/5.86 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_power__less__power__Suc,axiom, % 5.78/5.86 ! [V_n,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact__096cmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061t_A_094_Ak_A_K_A_It_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Acmod_A_Ipoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_J_096,axiom, % 5.78/5.86 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) ). % 5.78/5.86 % 5.78/5.86 fof(fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096,axiom, % 5.78/5.86 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) ). % 5.78/5.86 % 5.78/5.86 fof(fact_th30,axiom, % 5.78/5.86 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ). % 5.78/5.86 % 5.78/5.86 fof(fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096,axiom, % 5.78/5.86 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ). % 5.78/5.86 % 5.78/5.86 fof(fact_wm1,axiom, % 5.78/5.86 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ). % 5.78/5.86 % 5.78/5.86 fof(fact_mult__left__le__one__le,axiom, % 5.78/5.86 ! [V_y,V_x,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_mult__right__le__one__le,axiom, % 5.78/5.86 ! [V_y,V_x,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_mult__left__le__imp__le,axiom, % 5.78/5.86 ! [V_b,V_a,V_c,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_mult__right__le__imp__le,axiom, % 5.78/5.86 ! [V_b,V_c,V_a,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.86 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_mult__less__imp__less__left,axiom, % 5.78/5.86 ! [V_b,V_a,V_c,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_mult__left__less__imp__less,axiom, % 5.78/5.86 ! [V_b,V_a,V_c,T_a] : % 5.78/5.86 ( class_Rings_Olinordered__semiring(T_a) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) % 5.78/5.86 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.86 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_pc0,axiom, % 5.78/5.86 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.78/5.86 % 5.78/5.86 fof(fact_c,axiom, % 5.78/5.86 ! [B_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_w))) ). % 5.78/5.86 % 5.78/5.86 fof(fact_kn,axiom, % 5.78/5.86 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 5.78/5.86 % 5.78/5.86 fof(fact_t_I3_J,axiom, % 5.78/5.86 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ). % 5.78/5.86 % 5.78/5.86 fof(fact_le__Suc__ex__iff,axiom, % 5.78/5.86 ! [V_l_2,V_ka_2] : % 5.78/5.86 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_l_2) % 5.78/5.86 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,B_n) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_add__eq__0__iff,axiom, % 5.78/5.86 ! [V_y_2,V_x_2,T_a] : % 5.78/5.86 ( class_Groups_Ogroup__add(T_a) % 5.78/5.86 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.86 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real_Ominus,axiom, % 5.78/5.86 ! [V_x,T_a] : % 5.78/5.86 ( ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.86 & class_RealVector_Oreal__normed__vector(T_a) ) % 5.78/5.86 => c_RealVector_Oof__real(T_a,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ). % 5.78/5.86 % 5.78/5.86 fof(fact_of__real__minus,axiom, % 5.78/5.87 ! [V_x,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.87 => c_RealVector_Oof__real(T_a,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_of__real_Oadd,axiom, % 5.78/5.87 ! [V_y,V_x,T_a] : % 5.78/5.87 ( ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.87 & class_RealVector_Oreal__normed__vector(T_a) ) % 5.78/5.87 => c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_of__real__add,axiom, % 5.78/5.87 ! [V_y,V_x,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.87 => c_RealVector_Oof__real(T_a,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_minus__mult__right,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oring(T_a) % 5.78/5.87 => c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_minus__mult__left,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oring(T_a) % 5.78/5.87 => c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_minus__mult__commute,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oring(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_minus__mult__minus,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oring(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_square__eq__iff,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.87 ( class_Rings_Oidom(T_a) % 5.78/5.87 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2) % 5.78/5.87 <=> ( V_aa_2 = V_b_2 % 5.78/5.87 | V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_comm__semiring__class_Odistrib,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Ocomm__semiring(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_combine__common__factor,axiom, % 5.78/5.87 ! [V_c,V_b,V_e,V_a,T_a] : % 5.78/5.87 ( class_Rings_Osemiring(T_a) % 5.78/5.87 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e),V_c)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_e),V_c) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_norm__triangle__ineq,axiom, % 5.78/5.87 ! [V_y,V_x,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_norm__add__less,axiom, % 5.78/5.87 ! [V_s,V_y,V_r,V_x,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) % 5.78/5.87 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,V_s)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult_Ominus__right,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__right_Ominus,axiom, % 5.78/5.87 ! [V_x,V_xa,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult_Ominus__left,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__left_Ominus,axiom, % 5.78/5.87 ! [V_y,V_x,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_x)),V_y) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult_Oadd__right,axiom, % 5.78/5.87 ! [V_b_H,V_b,V_a,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__right_Oadd,axiom, % 5.78/5.87 ! [V_y,V_x,V_xa,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult_Oadd__left,axiom, % 5.78/5.87 ! [V_b,V_a_H,V_a,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__left_Oadd,axiom, % 5.78/5.87 ! [V_ya,V_y,V_x,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),V_ya) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_norm__minus__cancel,axiom, % 5.78/5.87 ! [V_x,T_a] : % 5.78/5.87 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.87 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_RealVector_Onorm__class_Onorm(T_a,V_x) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_less__minus__self__iff,axiom, % 5.78/5.87 ! [V_aa_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.78/5.87 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_pos__add__strict,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_square__eq__1__iff,axiom, % 5.78/5.87 ! [V_x_2,T_a] : % 5.78/5.87 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 5.78/5.87 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a) % 5.78/5.87 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a) % 5.78/5.87 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_less__add__one,axiom, % 5.78/5.87 ! [V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__less__two,axiom, % 5.78/5.87 ! [T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_power__add,axiom, % 5.78/5.87 ! [V_n,V_m,V_a,T_a] : % 5.78/5.87 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.87 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_convex__bound__le,axiom, % 5.78/5.87 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__1(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) % 5.78/5.87 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_power__minus,axiom, % 5.78/5.87 ! [V_n,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oring__1(T_a) % 5.78/5.87 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_linorder__neqE__linordered__idom,axiom, % 5.78/5.87 ! [V_y,V_x,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.87 => ( V_x != V_y % 5.78/5.87 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_convex__bound__lt,axiom, % 5.78/5.87 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) % 5.78/5.87 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__zero__left,axiom, % 5.78/5.87 ! [V_a,T_a] : % 5.78/5.87 ( class_Rings_Omult__zero(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__zero__right,axiom, % 5.78/5.87 ! [V_a,T_a] : % 5.78/5.87 ( class_Rings_Omult__zero(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__eq__0__iff,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.87 ( class_Rings_Oring__no__zero__divisors(T_a) % 5.78/5.87 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.87 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.87 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_no__zero__divisors,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Ono__zero__divisors(T_a) % 5.78/5.87 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.87 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.87 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_divisors__zero,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Ono__zero__divisors(T_a) % 5.78/5.87 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.87 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.87 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_one__neq__zero,axiom, % 5.78/5.87 ! [T_a] : % 5.78/5.87 ( class_Rings_Ozero__neq__one(T_a) % 5.78/5.87 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__neq__one,axiom, % 5.78/5.87 ! [T_a] : % 5.78/5.87 ( class_Rings_Ozero__neq__one(T_a) % 5.78/5.87 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__le__square,axiom, % 5.78/5.87 ! [V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__le__mult__iff,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2)) % 5.78/5.87 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) % 5.78/5.87 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__le__0__iff,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) % 5.78/5.87 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__nonneg__nonneg,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__nonneg__nonpos,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__nonneg__nonpos2,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__nonpos__nonneg,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__nonpos__nonpos,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__ring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__right__mono,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__left__mono,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_comm__mult__left__mono,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__comm__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__right__mono__neg,axiom, % 5.78/5.87 ! [V_c,V_a,V_b,T_a] : % 5.78/5.87 ( class_Rings_Oordered__ring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__left__mono__neg,axiom, % 5.78/5.87 ! [V_c,V_a,V_b,T_a] : % 5.78/5.87 ( class_Rings_Oordered__ring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__mono_H,axiom, % 5.78/5.87 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__mono,axiom, % 5.78/5.87 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_split__mult__pos__le,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__ring(T_a) % 5.78/5.87 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) % 5.78/5.87 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) ) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_split__mult__neg__le,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.78/5.87 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) % 5.78/5.87 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_not__square__less__zero,axiom, % 5.78/5.87 ! [V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring(T_a) % 5.78/5.87 => ~ c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__less__cancel__right__disj,axiom, % 5.78/5.87 ! [V_b_2,V_ca_2,V_aa_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) % 5.78/5.87 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.78/5.87 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) % 5.78/5.87 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__less__cancel__left__disj,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.78/5.87 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.78/5.87 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) % 5.78/5.87 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__less__cancel__left__pos,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.78/5.87 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__pos__pos,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__pos__neg,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__pos__neg2,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__less__mult__pos,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__less__mult__pos2,axiom, % 5.78/5.87 ! [V_a,V_b,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__less__cancel__left__neg,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.78/5.87 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__neg__pos,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__neg__neg,axiom, % 5.78/5.87 ! [V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__strict__right__mono,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__strict__left__mono,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_comm__mult__strict__left__mono,axiom, % 5.78/5.87 ! [V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__strict__right__mono__neg,axiom, % 5.78/5.87 ! [V_c,V_a,V_b,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__strict__left__mono__neg,axiom, % 5.78/5.87 ! [V_c,V_a,V_b,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_not__one__le__zero,axiom, % 5.78/5.87 ! [T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__le__one,axiom, % 5.78/5.87 ! [T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_not__one__less__zero,axiom, % 5.78/5.87 ! [T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_zero__less__one,axiom, % 5.78/5.87 ! [T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_less__1__mult,axiom, % 5.78/5.87 ! [V_n,V_m,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semidom(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n)) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__le__cancel__left__pos,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.78/5.87 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__le__cancel__left__neg,axiom, % 5.78/5.87 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.78/5.87 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_aa_2) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__strict__mono,axiom, % 5.78/5.87 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__strict__mono_H,axiom, % 5.78/5.87 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__less__le__imp__less,axiom, % 5.78/5.87 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__le__less__imp__less,axiom, % 5.78/5.87 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__right__less__imp__less,axiom, % 5.78/5.87 ! [V_b,V_c,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact_mult__less__imp__less__right,axiom, % 5.78/5.87 ! [V_b,V_c,V_a,T_a] : % 5.78/5.87 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) % 5.78/5.87 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.87 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.78/5.87 % 5.78/5.87 fof(fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096,axiom, % 5.78/5.87 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))))) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))) ). % 5.78/5.87 % 5.78/5.87 fof(fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 5.78/5.87 ~ ! [B_w] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_w),v_k____)),v_a____)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.78/5.87 % 5.78/5.87 fof(fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096,axiom, % 5.78/5.87 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) ). % 5.78/5.87 % 5.78/5.87 fof(fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096,axiom, % 5.78/5.87 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) ). % 5.78/5.87 % 5.78/5.87 fof(fact_k1n,axiom, % 5.78/5.87 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)) ). % 5.78/5.87 % 5.78/5.87 fof(fact_inv0,axiom, % 5.78/5.87 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ). % 5.78/5.87 % 5.78/5.87 fof(fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096,axiom, % 5.78/5.88 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____)),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le0,axiom, % 5.78/5.88 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__zeroE,axiom, % 5.78/5.88 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__le__cancel1,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096,axiom, % 5.78/5.88 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__diff__def,axiom, % 5.78/5.88 ! [V_s,V_r] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_r,V_s) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_s)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_minus__real__def,axiom, % 5.78/5.88 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__eq__imp__eq,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.78/5.88 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b) % 5.78/5.88 => V_a = V_b ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__eq__iff__eq,axiom, % 5.78/5.88 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.78/5.88 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Rings_Oinverse__class_Oinverse(T_a,V_b_2) % 5.78/5.88 <=> V_aa_2 = V_b_2 ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__inverse__eq,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_norm__inverse,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.78/5.88 & class_Rings_Odivision__ring__inverse__zero(T_a) ) % 5.78/5.88 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_of__real__inverse,axiom, % 5.78/5.88 ! [V_x,T_a] : % 5.78/5.88 ( ( class_RealVector_Oreal__div__algebra(T_a) % 5.78/5.88 & class_Rings_Odivision__ring__inverse__zero(T_a) ) % 5.78/5.88 => c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)) = c_Rings_Oinverse__class_Oinverse(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__add__minus__iff,axiom, % 5.78/5.88 ! [V_aa_2,V_x_2] : % 5.78/5.88 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_aa_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.88 <=> V_x_2 = V_aa_2 ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__add__eq__0__iff,axiom, % 5.78/5.88 ! [V_y_2,V_x_2] : % 5.78/5.88 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.88 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_of__real_Odiff,axiom, % 5.78/5.88 ! [V_y,V_x,T_a] : % 5.78/5.88 ( ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.88 & class_RealVector_Oreal__normed__vector(T_a) ) % 5.78/5.88 => c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_of__real__diff,axiom, % 5.78/5.88 ! [V_y,V_x,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__algebra__1(T_a) % 5.78/5.88 => c_RealVector_Oof__real(T_a,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,c_RealVector_Oof__real(T_a,V_x),c_RealVector_Oof__real(T_a,V_y)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_division__ring__inverse__diff,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__norm__inverse,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__of__real__inverse,axiom, % 5.78/5.88 ! [V_x,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__div__algebra(T_a) % 5.78/5.88 => ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.88 => c_RealVector_Oof__real(T_a,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)) = c_Rings_Oinverse__class_Oinverse(T_a,c_RealVector_Oof__real(T_a,V_x)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_norm__triangle__ineq2,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__add__le__0__iff,axiom, % 5.78/5.88 ! [V_y_2,V_x_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__0__le__add__iff,axiom, % 5.78/5.88 ! [V_y_2,V_x_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_norm__triangle__ineq4,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__add__less__0__iff,axiom, % 5.78/5.88 ! [V_y_2,V_x_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__0__less__add__iff,axiom, % 5.78/5.88 ! [V_y_2,V_x_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__inverse__eq__imp__eq,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => V_a = V_b ) ) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__zero__imp__zero,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__inverse__inverse__eq,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__imp__inverse__nonzero,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__nonzero__iff__nonzero,axiom, % 5.78/5.88 ! [V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.78/5.88 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__zero,axiom, % 5.78/5.88 ! [T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__1,axiom, % 5.78/5.88 ! [T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__minus__eq,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_power__inverse,axiom, % 5.78/5.88 ! [V_n,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__left_Odiff,axiom, % 5.78/5.88 ! [V_ya,V_y,V_x,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),V_ya) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult_Odiff__left,axiom, % 5.78/5.88 ! [V_b,V_a_H,V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a,V_a_H)),V_b) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__right_Odiff,axiom, % 5.78/5.88 ! [V_y,V_x,V_xa,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult_Odiff__right,axiom, % 5.78/5.88 ! [V_b_H,V_b,V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_b,V_b_H)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_INVERSE__ZERO,axiom, % 5.78/5.88 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 5.78/5.88 % 5.78/5.88 fof(fact_norm__minus__commute,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.88 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__add__left__mono,axiom, % 5.78/5.88 ! [V_z,V_y,V_x] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_x),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_y)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__add__mult__distrib,axiom, % 5.78/5.88 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__inverse__mult__distrib,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_inverse__unique,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__inverse__minus__eq,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nonzero__power__inverse,axiom, % 5.78/5.88 ! [V_n,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__diff__mult,axiom, % 5.78/5.88 ! [V_b,V_a,V_y,V_x,T_a] : % 5.78/5.88 ( class_Rings_Oring(T_a) % 5.78/5.88 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult_Oprod__diff__prod,axiom, % 5.78/5.88 ! [V_b,V_a,V_y,V_x,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.78/5.88 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b))) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_eq__add__iff1,axiom, % 5.78/5.88 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Oring(T_a) % 5.78/5.88 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2) % 5.78/5.88 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2) = V_d_2 ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_eq__add__iff2,axiom, % 5.78/5.88 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Oring(T_a) % 5.78/5.88 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2) % 5.78/5.88 <=> V_ca_2 = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__le__eq__diff,axiom, % 5.78/5.88 ! [V_y_2,V_x_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__minus__mult__self__le,axiom, % 5.78/5.88 ! [V_x,V_u] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),V_u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_x)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__two__squares__add__zero__iff,axiom, % 5.78/5.88 ! [V_y_2,V_x_2] : % 5.78/5.88 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.88 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.88 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_psize__eq__0__iff,axiom, % 5.78/5.88 ! [V_pb_2,T_a] : % 5.78/5.88 ( class_Groups_Ozero(T_a) % 5.78/5.88 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_division__ring__inverse__add,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_left__inverse,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_right__inverse,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Odivision__ring(T_a) % 5.78/5.88 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__add__iff1,axiom, % 5.78/5.88 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Oordered__ring(T_a) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__add__iff2,axiom, % 5.78/5.88 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Oordered__ring(T_a) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__add__iff1,axiom, % 5.78/5.88 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Oordered__ring(T_a) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__add__iff2,axiom, % 5.78/5.88 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.78/5.88 ( class_Rings_Oordered__ring(T_a) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__squared__diff__one__factored,axiom, % 5.78/5.88 ! [V_x,T_a] : % 5.78/5.88 ( class_Rings_Oring__1(T_a) % 5.78/5.88 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),c_Groups_Oone__class_Oone(T_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))),c_Groups_Ominus__class_Ominus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_norm__diff__triangle__ineq,axiom, % 5.78/5.88 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__mult__inverse__left,axiom, % 5.78/5.88 ! [V_x] : % 5.78/5.88 ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_norm__diff__ineq,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_complex__mod__triangle__sub,axiom, % 5.78/5.88 ! [V_z,V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_w,V_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z))) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__less__cases,axiom, % 5.78/5.88 ! [V_P_2,V_n_2,V_ma_2] : % 5.78/5.88 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.78/5.88 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 5.78/5.88 => ( ( V_ma_2 = V_n_2 % 5.78/5.88 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 5.78/5.88 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 5.78/5.88 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 5.78/5.88 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__not__refl3,axiom, % 5.78/5.88 ! [V_t,V_s] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t) % 5.78/5.88 => V_s != V_t ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__not__refl2,axiom, % 5.78/5.88 ! [V_m,V_n] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m) % 5.78/5.88 => V_m != V_n ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__irrefl__nat,axiom, % 5.78/5.88 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ). % 5.78/5.88 % 5.78/5.88 fof(fact_linorder__neqE__nat,axiom, % 5.78/5.88 ! [V_y,V_x] : % 5.78/5.88 ( V_x != V_y % 5.78/5.88 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__neq__iff,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( V_ma_2 != V_n_2 % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.78/5.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__not__refl,axiom, % 5.78/5.88 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__add__commute,axiom, % 5.78/5.88 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__add__left__commute,axiom, % 5.78/5.88 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,V_z)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__add__assoc,axiom, % 5.78/5.88 ! [V_k,V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__add__left__cancel,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2) % 5.78/5.88 <=> V_ma_2 = V_n_2 ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__add__right__cancel,axiom, % 5.78/5.88 ! [V_n_2,V_ka_2,V_ma_2] : % 5.78/5.88 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_ka_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_ka_2) % 5.78/5.88 <=> V_ma_2 = V_n_2 ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__refl,axiom, % 5.78/5.88 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__le__linear,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_eq__imp__le,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( V_m = V_n % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__trans,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__antisym,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.78/5.88 => V_m = V_n ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__assoc,axiom, % 5.78/5.88 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__commute,axiom, % 5.78/5.88 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ). % 5.78/5.88 % 5.78/5.88 fof(fact_not__less0,axiom, % 5.78/5.88 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_neq0__conv,axiom, % 5.78/5.88 ! [V_n_2] : % 5.78/5.88 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__nat__zero__code,axiom, % 5.78/5.88 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_gr__implies__not0,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_gr0I,axiom, % 5.78/5.88 ! [V_n] : % 5.78/5.88 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_plus__nat_Oadd__0,axiom, % 5.78/5.88 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ). % 5.78/5.88 % 5.78/5.88 fof(fact_Nat_Oadd__0__right,axiom, % 5.78/5.88 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__is__0,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__eq__self__zero,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m % 5.78/5.88 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 5.78/5.88 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__0__eq,axiom, % 5.78/5.88 ! [V_n_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 5.78/5.88 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__0,axiom, % 5.78/5.88 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__0__right,axiom, % 5.78/5.88 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__is__0,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__eq__cancel__disj,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2) % 5.78/5.88 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 | V_ma_2 = V_n_2 ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__cancel1,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2) % 5.78/5.88 <=> ( V_ma_2 = V_n_2 % 5.78/5.88 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__cancel2,axiom, % 5.78/5.88 ! [V_n_2,V_ka_2,V_ma_2] : % 5.78/5.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2) % 5.78/5.88 <=> ( V_ma_2 = V_n_2 % 5.78/5.88 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__lessD1,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__add__eq__less,axiom, % 5.78/5.88 ! [V_n,V_m,V_l,V_k] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) % 5.78/5.88 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__less__mono,axiom, % 5.78/5.88 ! [V_l,V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__less__mono1,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_trans__less__add2,axiom, % 5.78/5.88 ! [V_m,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_trans__less__add1,axiom, % 5.78/5.88 ! [V_m,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__add__left__cancel__less,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_not__add__less2,axiom, % 5.78/5.88 ! [V_i,V_j] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_i) ). % 5.78/5.88 % 5.78/5.88 fof(fact_not__add__less1,axiom, % 5.78/5.88 ! [V_j,V_i] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_i) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__or__eq__imp__le,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 | V_m = V_n ) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__neq__implies__less,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 => ( V_m != V_n % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__imp__le__nat,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__eq__less__or__eq,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.78/5.88 | V_ma_2 = V_n_2 ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__less__le,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.78/5.88 & V_ma_2 != V_n_2 ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__add2,axiom, % 5.78/5.88 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__add1,axiom, % 5.78/5.88 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__iff__add,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.78/5.88 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__add__left__cancel__le,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_trans__le__add1,axiom, % 5.78/5.88 ! [V_m,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_trans__le__add2,axiom, % 5.78/5.88 ! [V_m,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__le__mono1,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__le__mono,axiom, % 5.78/5.88 ! [V_l,V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__leD2,axiom, % 5.78/5.88 ! [V_n,V_k,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__leD1,axiom, % 5.78/5.88 ! [V_n,V_k,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__leE,axiom, % 5.78/5.88 ! [V_n,V_k,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 5.78/5.88 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_left__add__mult__distrib,axiom, % 5.78/5.88 ! [V_k,V_j,V_u,V_i] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_k)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j)),V_u),V_k) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__mult__distrib,axiom, % 5.78/5.88 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__mult__distrib2,axiom, % 5.78/5.88 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__le__mono,axiom, % 5.78/5.88 ! [V_l,V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__le__mono2,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__le__mono1,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__cube,axiom, % 5.78/5.88 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ). % 5.78/5.88 % 5.78/5.88 fof(fact_le__square,axiom, % 5.78/5.88 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__eq__1__iff,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.78/5.88 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.78/5.88 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__1__right,axiom, % 5.78/5.88 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__1__eq__mult__iff,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) % 5.78/5.88 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.78/5.88 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__1,axiom, % 5.78/5.88 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 5.78/5.88 % 5.78/5.88 fof(fact_add__gr__0,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2)) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 5.78/5.88 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__0__less__mult__iff,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2)) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 5.78/5.88 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__less__cancel1,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.78/5.88 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__less__cancel2,axiom, % 5.78/5.88 ! [V_n_2,V_ka_2,V_ma_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2)) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.78/5.88 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__eq__cancel1,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.78/5.88 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2) % 5.78/5.88 <=> V_ma_2 = V_n_2 ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_nat__mult__less__cancel1,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.78/5.88 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__less__mono1,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__less__mono2,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__eq__self__implies__10,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 5.78/5.88 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.78/5.88 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__le__cancel1,axiom, % 5.78/5.88 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_mult__le__cancel2,axiom, % 5.78/5.88 ! [V_n_2,V_ka_2,V_ma_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2)) % 5.78/5.88 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 5.78/5.88 ~ ! [B_t] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_t) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_t,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.78/5.88 => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_t,c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_th11,axiom, % 5.78/5.88 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_a____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))))))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) ). % 5.78/5.88 % 5.78/5.88 fof(fact_q_I2_J,axiom, % 5.78/5.88 ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less_Ohyps,axiom, % 5.78/5.88 ! [V_pb_2] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,V_pb_2),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)) % 5.78/5.88 => ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2)) % 5.78/5.88 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096,axiom, % 5.78/5.88 ? [B_q] : % 5.78/5.88 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) % 5.78/5.88 & ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,axiom, % 5.78/5.88 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) % 5.78/5.88 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_q_I1_J,axiom, % 5.78/5.88 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) ). % 5.78/5.88 % 5.78/5.88 fof(fact_Bseq__inverse__lemma,axiom, % 5.78/5.88 ! [V_x,V_r,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_r,c_RealVector_Onorm__class_Onorm(T_a,V_x)) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r) % 5.78/5.88 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_r)) ) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_a00,axiom, % 5.78/5.88 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.78/5.88 % 5.78/5.88 fof(fact_qnc,axiom, % 5.78/5.88 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ). % 5.78/5.88 % 5.78/5.88 fof(fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,axiom, % 5.78/5.88 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_ath,axiom, % 5.78/5.88 ! [V_t,V_x] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_t) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_t,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_t)),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_cq0,axiom, % 5.78/5.88 ! [B_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_w))) ). % 5.78/5.88 % 5.78/5.88 fof(fact_pqc0,axiom, % 5.78/5.88 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_kas_I3_J,axiom, % 5.78/5.88 c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____),v_k____),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_real__norm__def,axiom, % 5.78/5.88 ! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) ). % 5.78/5.88 % 5.78/5.88 fof(fact_abs__mult,axiom, % 5.78/5.88 ! [V_b,V_a,T_a] : % 5.78/5.88 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.88 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_abs__mult__self,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.88 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_abs__one,axiom, % 5.78/5.88 ! [T_a] : % 5.78/5.88 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.88 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_power__abs,axiom, % 5.78/5.88 ! [V_n,V_a,T_a] : % 5.78/5.88 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.88 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),V_n) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_abs__norm__cancel,axiom, % 5.78/5.88 ! [V_a,T_a] : % 5.78/5.88 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.88 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) = c_RealVector_Onorm__class_Onorm(T_a,V_a) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_diffs0__imp__equal,axiom, % 5.78/5.88 ! [V_n,V_m] : % 5.78/5.88 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.88 => V_m = V_n ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__self__eq__0,axiom, % 5.78/5.88 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.78/5.88 % 5.78/5.88 fof(fact_minus__nat_Odiff__0,axiom, % 5.78/5.88 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__0__eq__0,axiom, % 5.78/5.88 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.78/5.88 % 5.78/5.88 fof(fact_less__imp__diff__less,axiom, % 5.78/5.88 ! [V_n,V_k,V_j] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__less__mono2,axiom, % 5.78/5.88 ! [V_l,V_n,V_m] : % 5.78/5.88 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.78/5.88 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l) % 5.78/5.88 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ) ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__cancel2,axiom, % 5.78/5.88 ! [V_n,V_k,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__cancel,axiom, % 5.78/5.88 ! [V_n,V_m,V_k] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__diff__left,axiom, % 5.78/5.88 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__add__inverse,axiom, % 5.78/5.88 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n) = V_m ). % 5.78/5.88 % 5.78/5.88 fof(fact_diff__add__inverse2,axiom, % 5.78/5.89 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__diff__iff,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_Nat_Odiff__diff__eq,axiom, % 5.78/5.89 ! [V_n,V_m,V_k] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_eq__diff__iff,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2) % 5.78/5.89 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2) % 5.78/5.89 <=> V_ma_2 = V_n_2 ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__diff__cancel,axiom, % 5.78/5.89 ! [V_n,V_i] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__le__mono,axiom, % 5.78/5.89 ! [V_l,V_n,V_m] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_l),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_l)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__le__mono2,axiom, % 5.78/5.89 ! [V_l,V_n,V_m] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__le__self,axiom, % 5.78/5.89 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__mult__distrib2,axiom, % 5.78/5.89 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__mult__distrib,axiom, % 5.78/5.89 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__mult__less,axiom, % 5.78/5.89 ! [V_d,V_b,V_c,V_a,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_c) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_b),V_d) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__less__iff,axiom, % 5.78/5.89 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),V_b_2) % 5.78/5.89 <=> ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) % 5.78/5.89 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__power__minus,axiom, % 5.78/5.89 ! [V_n,V_a,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_n)) = c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__le__interval__iff,axiom, % 5.78/5.89 ! [V_r_2,V_x_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x_2),V_r_2) % 5.78/5.89 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r_2),V_x_2) % 5.78/5.89 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_r_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_norm__of__real,axiom, % 5.78/5.89 ! [V_r,T_a] : % 5.78/5.89 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.78/5.89 => c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,V_r)) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__less,axiom, % 5.78/5.89 ! [V_m,V_n] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) % 5.78/5.89 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_zero__less__diff,axiom, % 5.78/5.89 ! [V_ma_2,V_n_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ma_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__add__0,axiom, % 5.78/5.89 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__is__0__eq,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2] : % 5.78/5.89 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__is__0__eq_H,axiom, % 5.78/5.89 ! [V_n,V_m] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_less__diff__conv,axiom, % 5.78/5.89 ! [V_ka_2,V_j_2,V_i_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2),V_j_2) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_add__diff__inverse,axiom, % 5.78/5.89 ! [V_n,V_m] : % 5.78/5.89 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__minus__add__cancel,axiom, % 5.78/5.89 ! [V_y,V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__less__mono,axiom, % 5.78/5.89 ! [V_c,V_b,V_a] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a,V_c),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_b,V_c)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_less__diff__iff,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_ka_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__add__assoc2,axiom, % 5.78/5.89 ! [V_i,V_j,V_k] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_add__diff__assoc2,axiom, % 5.78/5.89 ! [V_i,V_j,V_k] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__add__assoc,axiom, % 5.78/5.89 ! [V_i,V_j,V_k] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__imp__diff__is__add,axiom, % 5.78/5.89 ! [V_ka_2,V_j_2,V_i_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.78/5.89 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_ka_2 % 5.78/5.89 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_i_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__add__diff__inverse2,axiom, % 5.78/5.89 ! [V_m,V_n] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__diff__conv2,axiom, % 5.78/5.89 ! [V_i_2,V_j_2,V_ka_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_j_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2),V_j_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_add__diff__assoc,axiom, % 5.78/5.89 ! [V_i,V_j,V_k] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__add__diff__inverse,axiom, % 5.78/5.89 ! [V_m,V_n] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__add__diff,axiom, % 5.78/5.89 ! [V_m,V_n,V_k] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_k)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__diff__conv,axiom, % 5.78/5.89 ! [V_i_2,V_ka_2,V_j_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2),V_i_2) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__diff__right,axiom, % 5.78/5.89 ! [V_i,V_j,V_k] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__mult__pos,axiom, % 5.78/5.89 ! [V_y,V_x,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_y)),V_x) = c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__eq__mult,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Rings_Oordered__ring__abs(T_a) % 5.78/5.89 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 | c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) % 5.78/5.89 & ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.89 | c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) ) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_zero__le__power__abs,axiom, % 5.78/5.89 ! [V_n,V_a,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),V_n)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_rabs__ratiotest__lemma,axiom, % 5.78/5.89 ! [V_y,V_x,V_c] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_y))) % 5.78/5.89 => V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__real__def,axiom, % 5.78/5.89 ! [V_a] : % 5.78/5.89 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a) ) % 5.78/5.89 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = V_a ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_real__abs__def,axiom, % 5.78/5.89 ! [V_r] : % 5.78/5.89 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) ) % 5.78/5.89 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__add__one__not__less__self,axiom, % 5.78/5.89 ! [V_x] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__sum__triangle__ineq,axiom, % 5.78/5.89 ! [V_m,V_l,V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m))))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__diff__split__asm,axiom, % 5.78/5.89 ! [V_b_2,V_aa_2,V_P_2] : % 5.78/5.89 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2))) % 5.78/5.89 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2) % 5.78/5.89 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 5.78/5.89 | ? [B_d] : % 5.78/5.89 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) % 5.78/5.89 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__diff__split,axiom, % 5.78/5.89 ! [V_b_2,V_aa_2,V_P_2] : % 5.78/5.89 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2))) % 5.78/5.89 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2) % 5.78/5.89 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 5.78/5.89 & ! [B_d] : % 5.78/5.89 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) % 5.78/5.89 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__eq__add__iff2,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.78/5.89 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2) % 5.78/5.89 <=> V_ma_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__diff__add__eq2,axiom, % 5.78/5.89 ! [V_n,V_m,V_u,V_j,V_i] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_i)),V_u),V_n)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__le__add__iff2,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__eq__add__iff1,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 5.78/5.89 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2) % 5.78/5.89 <=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2) = V_n_2 ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__diff__add__eq1,axiom, % 5.78/5.89 ! [V_n,V_m,V_u,V_i,V_j] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j)),V_u),V_m),V_n) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__le__add__iff1,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_n_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_norm__triangle__ineq3,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_RealVector_Oreal__normed__vector(T_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__add__one__gt__zero,axiom, % 5.78/5.89 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__less__add__iff2,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nat__less__add__iff1,axiom, % 5.78/5.89 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_n_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_realpow__minus__mult,axiom, % 5.78/5.89 ! [V_x,V_n,T_a] : % 5.78/5.89 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_complex__of__real__minus__one,axiom, % 5.78/5.89 c_RealVector_Oof__real(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ). % 5.78/5.89 % 5.78/5.89 fof(fact_realpow__num__eq__if,axiom, % 5.78/5.89 ! [V_m,V_n,T_a] : % 5.78/5.89 ( class_Power_Opower(T_a) % 5.78/5.89 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.89 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 5.78/5.89 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.89 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_Deriv_Oinverse__diff__inverse,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Rings_Odivision__ring(T_a) % 5.78/5.89 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))),c_Rings_Oinverse__class_Oinverse(T_a,V_b))) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_one__le__inverse__iff,axiom, % 5.78/5.89 ! [V_x_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)) % 5.78/5.89 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) % 5.78/5.89 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__less__1__iff,axiom, % 5.78/5.89 ! [V_x_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a)) % 5.78/5.89 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 | c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096,axiom, % 5.78/5.89 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_qr,axiom, % 5.78/5.89 ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),B_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_r01,axiom, % 5.78/5.89 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ). % 5.78/5.89 % 5.78/5.89 fof(fact_lgqr,axiom, % 5.78/5.89 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) ). % 5.78/5.89 % 5.78/5.89 fof(fact_rnc,axiom, % 5.78/5.89 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mrmq__eq,axiom, % 5.78/5.89 ! [V_wa_2] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),V_wa_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),V_wa_2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_kas_I4_J,axiom, % 5.78/5.89 ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),B_z))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__commute,axiom, % 5.78/5.89 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_k),V_j) ). % 5.78/5.89 % 5.78/5.89 fof(fact_Deriv_Oadd__diff__add,axiom, % 5.78/5.89 ! [V_d,V_b,V_c,V_a,T_a] : % 5.78/5.89 ( class_Groups_Oab__group__add(T_a) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_field__inverse__zero,axiom, % 5.78/5.89 ! [T_a] : % 5.78/5.89 ( class_Fields_Ofield__inverse__zero(T_a) % 5.78/5.89 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__mult__distrib,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Ofield__inverse__zero(T_a) % 5.78/5.89 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__eq__1__iff,axiom, % 5.78/5.89 ! [V_x_2,T_a] : % 5.78/5.89 ( class_Fields_Ofield__inverse__zero(T_a) % 5.78/5.89 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a) % 5.78/5.89 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__inverse,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__nonpositive__iff__nonpositive,axiom, % 5.78/5.89 ! [V_aa_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__nonnegative__iff__nonnegative,axiom, % 5.78/5.89 ! [V_aa_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__less__imp__less__neg,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__less__imp__less,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__negative__imp__negative,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_less__imp__inverse__less__neg,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_less__imp__inverse__less,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_negative__imp__inverse__negative,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__positive__imp__positive,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) % 5.78/5.89 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_positive__imp__inverse__positive,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__negative__iff__negative,axiom, % 5.78/5.89 ! [V_aa_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__positive__iff__positive,axiom, % 5.78/5.89 ! [V_aa_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2)) % 5.78/5.89 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_nonzero__abs__inverse,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_complex__mod__minus__le__complex__mod,axiom, % 5.78/5.89 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)) ). % 5.78/5.89 % 5.78/5.89 fof(fact_complex__diff__def,axiom, % 5.78/5.89 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_x,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y)) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__le__imp__le__neg,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__le__imp__le,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__imp__inverse__le__neg,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_le__imp__inverse__le,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__le__1__iff,axiom, % 5.78/5.89 ! [V_x_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a)) % 5.78/5.89 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_inverse__add,axiom, % 5.78/5.89 ! [V_b,V_a,T_a] : % 5.78/5.89 ( class_Fields_Ofield(T_a) % 5.78/5.89 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_one__less__inverse,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.78/5.89 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_one__less__inverse__iff,axiom, % 5.78/5.89 ! [V_x_2,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)) % 5.78/5.89 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) % 5.78/5.89 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_field__inverse,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Ofield(T_a) % 5.78/5.89 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_real__mult__inverse__cancel,axiom, % 5.78/5.89 ! [V_u,V_y,V_x1,V_x] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u)) % 5.78/5.89 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1)),V_u)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_real__mult__inverse__cancel2,axiom, % 5.78/5.89 ! [V_u,V_y,V_x1,V_x] : % 5.78/5.89 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u)) % 5.78/5.89 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1))) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_complex__mod__triangle__ineq2,axiom, % 5.78/5.89 ! [V_a,V_b] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_b,V_a)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_b)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_a)) ). % 5.78/5.89 % 5.78/5.89 fof(fact_one__le__inverse,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Fields_Olinordered__field(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact__096psize_Ap_A_061_Ak_A_L_A1_A_061_061_062_AEX_Aw_O_Acmod_A_Ipoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Aw_J_A_060_A1_096,axiom, % 5.78/5.89 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 5.78/5.89 => ? [B_w] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_w)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact__096_I_B_Bx_Ay_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ax_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ay_J_061_061_062_AFalse_096,axiom, % 5.78/5.89 ~ ! [B_x,B_y] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_y) ). % 5.78/5.89 % 5.78/5.89 fof(fact_power__eq__if,axiom, % 5.78/5.89 ! [V_p,V_m] : % 5.78/5.89 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.89 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 5.78/5.89 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.89 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mult__eq__if,axiom, % 5.78/5.89 ! [V_n,V_m] : % 5.78/5.89 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 5.78/5.89 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_offset__poly__eq__0__lemma,axiom, % 5.78/5.89 ! [V_a,V_p,V_c,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_c,V_p),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.78/5.89 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_sum__squares__eq__zero__iff,axiom, % 5.78/5.89 ! [V_y_2,V_x_2,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.89 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_sum__squares__ge__zero,axiom, % 5.78/5.89 ! [V_y,V_x,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__ring(T_a) % 5.78/5.89 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_sum__squares__le__zero__iff,axiom, % 5.78/5.89 ! [V_y_2,V_x_2,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.89 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_not__sum__squares__lt__zero,axiom, % 5.78/5.89 ! [V_y,V_x,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__ring(T_a) % 5.78/5.89 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_sum__squares__gt__zero__iff,axiom, % 5.78/5.89 ! [V_y_2,V_x_2,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__ring__strict(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))) % 5.78/5.89 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.89 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_th01,axiom, % 5.78/5.89 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_th02,axiom, % 5.78/5.89 c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__pCons,axiom, % 5.78/5.89 ! [V_x,V_p,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),V_x) = c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x))) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__diff__less__iff,axiom, % 5.78/5.89 ! [V_r_2,V_aa_2,V_x_2,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.89 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x_2,V_aa_2)),V_r_2) % 5.78/5.89 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_r_2),V_x_2) % 5.78/5.89 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_r_2)) ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_monom__eq__iff,axiom, % 5.78/5.89 ! [V_b_2,V_n_2,V_aa_2,T_a] : % 5.78/5.89 ( class_Groups_Ozero(T_a) % 5.78/5.89 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Polynomial_Omonom(T_a,V_b_2,V_n_2) % 5.78/5.89 <=> V_aa_2 = V_b_2 ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_minus__monom,axiom, % 5.78/5.89 ! [V_n,V_a,T_a] : % 5.78/5.89 ( class_Groups_Oab__group__add(T_a) % 5.78/5.89 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_n) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_add__monom,axiom, % 5.78/5.89 ! [V_b,V_n,V_a,T_a] : % 5.78/5.89 ( class_Groups_Ocomm__monoid__add(T_a) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_n) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mult__poly__add__left,axiom, % 5.78/5.89 ! [V_r,V_q,V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_r) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),V_r)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__monom,axiom, % 5.78/5.89 ! [V_b,V_n,V_a,T_a] : % 5.78/5.89 ( class_Groups_Oab__group__add(T_a) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_n) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mult__monom,axiom, % 5.78/5.89 ! [V_n,V_b,V_m,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,V_a,V_m)),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_monom__eq__0,axiom, % 5.78/5.89 ! [V_n,T_a] : % 5.78/5.89 ( class_Groups_Ozero(T_a) % 5.78/5.89 => c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_monom__eq__0__iff,axiom, % 5.78/5.89 ! [V_n_2,V_aa_2,T_a] : % 5.78/5.89 ( class_Groups_Ozero(T_a) % 5.78/5.89 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.78/5.89 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_smult__monom,axiom, % 5.78/5.89 ! [V_n,V_b,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_n) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__monom,axiom, % 5.78/5.89 ! [V_x,V_n,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Omonom(T_a,V_a,V_n)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_monom__0,axiom, % 5.78/5.89 ! [V_a,T_a] : % 5.78/5.89 ( class_Groups_Ozero(T_a) % 5.78/5.89 => c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_abs__poly__def,axiom, % 5.78/5.89 ! [V_x,T_a] : % 5.78/5.89 ( class_Rings_Olinordered__idom(T_a) % 5.78/5.89 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x) ) % 5.78/5.89 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) % 5.78/5.89 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = V_x ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mult__poly__0__left,axiom, % 5.78/5.89 ! [V_q,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_q) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mult__poly__0__right,axiom, % 5.78/5.89 ! [V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__poly__code_I2_J,axiom, % 5.78/5.89 ! [V_p,T_a] : % 5.78/5.89 ( class_Groups_Oab__group__add(T_a) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_add__poly__code_I2_J,axiom, % 5.78/5.89 ! [V_p,T_a] : % 5.78/5.89 ( class_Groups_Ocomm__monoid__add(T_a) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__poly__code_I1_J,axiom, % 5.78/5.89 ! [V_q,T_a] : % 5.78/5.89 ( class_Groups_Oab__group__add(T_a) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_q) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_add__poly__code_I1_J,axiom, % 5.78/5.89 ! [V_q,T_a] : % 5.78/5.89 ( class_Groups_Ocomm__monoid__add(T_a) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_minus__poly__code_I1_J,axiom, % 5.78/5.89 ! [T_a] : % 5.78/5.89 ( class_Groups_Oab__group__add(T_a) % 5.78/5.89 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__eq__iff,axiom, % 5.78/5.89 ! [V_qa_2,V_pb_2,T_a] : % 5.78/5.89 ( ( class_Int_Oring__char__0(T_a) % 5.78/5.89 & class_Rings_Oidom(T_a) ) % 5.78/5.89 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,V_qa_2) % 5.78/5.89 <=> V_pb_2 = V_qa_2 ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_pCons__eq__iff,axiom, % 5.78/5.89 ! [V_qa_2,V_b_2,V_pb_2,V_aa_2,T_a] : % 5.78/5.89 ( class_Groups_Ozero(T_a) % 5.78/5.89 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Polynomial_OpCons(T_a,V_b_2,V_qa_2) % 5.78/5.89 <=> ( V_aa_2 = V_b_2 % 5.78/5.89 & V_pb_2 = V_qa_2 ) ) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_smult__diff__right,axiom, % 5.78/5.89 ! [V_q,V_p,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__ring(T_a) % 5.78/5.89 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mult__smult__right,axiom, % 5.78/5.89 ! [V_q,V_a,V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_mult__smult__left,axiom, % 5.78/5.89 ! [V_q,V_p,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(T_a,V_a,V_p)),V_q) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_smult__minus__right,axiom, % 5.78/5.89 ! [V_p,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__ring(T_a) % 5.78/5.89 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_smult__add__right,axiom, % 5.78/5.89 ! [V_q,V_p,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__replicate__append,axiom, % 5.78/5.89 ! [V_x,V_p,V_n,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__ring__1(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,c_Groups_Oone__class_Oone(T_a),V_n)),V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__mult,axiom, % 5.78/5.89 ! [V_x,V_q,V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__add,axiom, % 5.78/5.89 ! [V_x,V_q,V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Oplus__class_Oplus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__1,axiom, % 5.78/5.89 ! [V_x,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__diff,axiom, % 5.78/5.89 ! [V_x,V_q,V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__ring(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_add__pCons,axiom, % 5.78/5.89 ! [V_q,V_b,V_p,V_a,T_a] : % 5.78/5.89 ( class_Groups_Ocomm__monoid__add(T_a) % 5.78/5.89 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__minus,axiom, % 5.78/5.89 ! [V_x,V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__ring(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)),V_x) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_poly__power,axiom, % 5.78/5.89 ! [V_x,V_n,V_p,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.89 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),V_p),V_n)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)),V_n) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_diff__pCons,axiom, % 5.78/5.89 ! [V_q,V_b,V_p,V_a,T_a] : % 5.78/5.89 ( class_Groups_Oab__group__add(T_a) % 5.78/5.89 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ). % 5.78/5.89 % 5.78/5.89 fof(fact_smult__smult,axiom, % 5.78/5.89 ! [V_p,V_b,V_a,T_a] : % 5.78/5.89 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Osmult(T_a,V_b,V_p)) = c_Polynomial_Osmult(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_p) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__add__left,axiom, % 5.78/5.90 ! [V_p,V_b,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_p) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__1__left,axiom, % 5.78/5.90 ! [V_p,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,c_Groups_Oone__class_Oone(T_a),V_p) = V_p ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__pCons,axiom, % 5.78/5.90 ! [V_p,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_a) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__poly__code_I2_J,axiom, % 5.78/5.90 ! [V_p,V_a,T_b] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_b) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),c_Polynomial_OpCons(T_b,V_a,V_p)) = c_Polynomial_OpCons(T_b,c_Groups_Ouminus__class_Ouminus(T_b,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),V_p)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__diff__left,axiom, % 5.78/5.90 ! [V_p,V_b,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__ring(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_p) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__minus__left,axiom, % 5.78/5.90 ! [V_p,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__ring(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_p) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_poly__zero,axiom, % 5.78/5.90 ! [V_pb_2,T_a] : % 5.78/5.90 ( ( class_Int_Oring__char__0(T_a) % 5.78/5.90 & class_Rings_Oidom(T_a) ) % 5.78/5.90 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) % 5.78/5.90 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__0__right,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_poly__0,axiom, % 5.78/5.90 ! [V_x,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_pCons__eq__0__iff,axiom, % 5.78/5.90 ! [V_pb_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ozero(T_a) % 5.78/5.90 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.78/5.90 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 & V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_pCons__0__0,axiom, % 5.78/5.90 ! [T_a] : % 5.78/5.90 ( class_Groups_Ozero(T_a) % 5.78/5.90 => c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__0__left,axiom, % 5.78/5.90 ! [V_p,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__eq__0__iff,axiom, % 5.78/5.90 ! [V_pb_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Rings_Oidom(T_a) % 5.78/5.90 => ( c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.78/5.90 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 | V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_one__poly__def,axiom, % 5.78/5.90 ! [T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.90 => c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_poly__smult,axiom, % 5.78/5.90 ! [V_x,V_p,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_mult__pCons__left,axiom, % 5.78/5.90 ! [V_q,V_p,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,V_a,V_p)),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_q),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_mult__pCons__right,axiom, % 5.78/5.90 ! [V_q,V_a,V_p,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_OpCons(T_a,V_a,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_smult__pCons,axiom, % 5.78/5.90 ! [V_p,V_b,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_OpCons(T_a,V_b,V_p)) = c_Polynomial_OpCons(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_synthetic__div__unique__lemma,axiom, % 5.78/5.90 ! [V_a,V_p,V_c,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => ( c_Polynomial_Osmult(T_a,V_c,V_p) = c_Polynomial_OpCons(T_a,V_a,V_p) % 5.78/5.90 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096,axiom, % 5.78/5.90 ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__triangle__ineq4,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__diff__triangle__ineq,axiom, % 5.78/5.90 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__of__neg,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_zero__reorient,axiom, % 5.78/5.90 ! [V_x_2,T_a] : % 5.78/5.90 ( class_Groups_Ozero(T_a) % 5.78/5.90 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 % 5.78/5.90 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oab__semigroup__mult(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__right__imp__eq,axiom, % 5.78/5.90 ! [V_c,V_a,V_b,T_a] : % 5.78/5.90 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) % 5.78/5.90 => V_b = V_c ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__imp__eq,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) % 5.78/5.90 => V_b = V_c ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__left__imp__eq,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) % 5.78/5.90 => V_b = V_c ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__right__cancel,axiom, % 5.78/5.90 ! [V_ca_2,V_aa_2,V_b_2,T_a] : % 5.78/5.90 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2) = c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2) % 5.78/5.90 <=> V_b_2 = V_ca_2 ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__left__cancel,axiom, % 5.78/5.90 ! [V_ca_2,V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2) % 5.78/5.90 <=> V_b_2 = V_ca_2 ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oab__semigroup__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_one__reorient,axiom, % 5.78/5.90 ! [V_x_2,T_a] : % 5.78/5.90 ( class_Groups_Oone(T_a) % 5.78/5.90 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2 % 5.78/5.90 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__eq__diff__eq,axiom, % 5.78/5.90 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_a) % 5.78/5.90 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 5.78/5.90 => ( V_aa_2 = V_b_2 % 5.78/5.90 <=> V_ca_2 = V_d_2 ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__equal__iff__equal,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 5.78/5.90 <=> V_aa_2 = V_b_2 ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__equation__iff,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_b_2 % 5.78/5.90 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_aa_2 ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_equation__minus__iff,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 5.78/5.90 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__minus,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__idempotent,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__0__left,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Omonoid__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__0,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ocomm__monoid__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_double__zero__sym,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) % 5.78/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__0__right,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Omonoid__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add_Ocomm__neutral,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ocomm__monoid__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__le__cancel__right,axiom, % 5.78/5.90 ! [V_b_2,V_ca_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__le__cancel__left,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__right__mono,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__left__mono,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__mono,axiom, % 5.78/5.90 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__le__imp__le__right,axiom, % 5.78/5.90 ! [V_b,V_c,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__le__imp__le__left,axiom, % 5.78/5.90 ! [V_b,V_a,V_c,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__less__cancel__right,axiom, % 5.78/5.90 ! [V_b_2,V_ca_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__less__cancel__left,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__strict__right__mono,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__strict__left__mono,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__strict__mono,axiom, % 5.78/5.90 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__less__imp__less__right,axiom, % 5.78/5.90 ! [V_b,V_c,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__less__imp__less__left,axiom, % 5.78/5.90 ! [V_b,V_a,V_c,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_right__minus__eq,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 <=> V_aa_2 = V_b_2 ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_eq__iff__diff__eq__0,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_a) % 5.78/5.90 => ( V_aa_2 = V_b_2 % 5.78/5.90 <=> c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__self,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__0__right,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__eq__diff__less__eq,axiom, % 5.78/5.90 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__eq__diff__less,axiom, % 5.78/5.90 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_mult__1__left,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_mult__1,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ocomm__monoid__mult(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_mult__1__right,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Omonoid__mult(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_mult_Ocomm__neutral,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ocomm__monoid__mult(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__zero,axiom, % 5.78/5.90 ! [T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__0__equal__iff__equal,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) % 5.78/5.90 <=> c_Groups_Ozero__class_Ozero(T_a) = V_aa_2 ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_equal__neg__zero,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) % 5.78/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__equal__0__iff__equal,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__equal__zero,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_aa_2 % 5.78/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_le__minus__iff,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__le__iff,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__le__iff__le,axiom, % 5.78/5.90 ! [V_aa_2,V_b_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_le__imp__neg__le,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b),c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__add__cancel,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__diff__cancel,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_less__minus__iff,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__less__iff,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__less__iff__less,axiom, % 5.78/5.90 ! [V_aa_2,V_b_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__add__cancel,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = V_b ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__minus__cancel,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)) = V_b ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__add,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b),c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__add__distrib,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_a) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__diff__eq,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_a) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_Groups_Ominus__class_Ominus(T_a,V_b,V_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__eq__0,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Groups_Oabs__class_Oabs(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__zero,axiom, % 5.78/5.90 ! [T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__le__D1,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__ge__self,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__add__abs,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__minus__commute,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__minus__cancel,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__nonneg__nonneg,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__nonneg__eq__0__iff,axiom, % 5.78/5.90 ! [V_y_2,V_x_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__increasing,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__increasing2,axiom, % 5.78/5.90 ! [V_a,V_b,V_c,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__nonpos__nonpos,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__pos__pos,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__neg__neg,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__less__le__mono,axiom, % 5.78/5.90 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__le__less__mono,axiom, % 5.78/5.90 ! [V_d,V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_le__iff__diff__le__0,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_less__iff__diff__less__0,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__0__le__iff__le,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_le__minus__self__iff,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__le__0__iff__le,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__le__self__iff,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__0__less__iff__less,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__less__0__iff__less,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_neg__less__nonneg,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2) % 5.78/5.90 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_right__minus,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_eq__neg__iff__add__eq__0,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 5.78/5.90 <=> c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_left__minus,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_ab__left__minus,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_minus__unique,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a) % 5.78/5.90 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__0,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__ge__zero,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__le__zero__iff,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__of__nonneg,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__not__less__zero,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_zero__less__abs__iff,axiom, % 5.78/5.90 ! [V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_aa_2)) % 5.78/5.90 <=> V_aa_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__of__pos,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__minus__eq__add,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_ab__diff__minus,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oab__group__add(T_a) % 5.78/5.90 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_diff__def,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Ogroup__add(T_a) % 5.78/5.90 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__triangle__ineq,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__triangle__ineq3,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__triangle__ineq2,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__triangle__ineq2__sym,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__le__D2,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__leI,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__le__iff,axiom, % 5.78/5.90 ! [V_b_2,V_aa_2,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_aa_2),V_b_2) % 5.78/5.90 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) % 5.78/5.90 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__ge__minus__self,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__pos__nonneg,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__nonneg__pos,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__strict__increasing,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__strict__increasing2,axiom, % 5.78/5.90 ! [V_c,V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__neg__nonpos,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_add__nonpos__neg,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__minus__le__zero,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__of__nonpos,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 5.78/5.90 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_abs__if,axiom, % 5.78/5.90 ! [V_a,T_a] : % 5.78/5.90 ( class_Groups_Oabs__if(T_a) % 5.78/5.90 => ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) % 5.78/5.90 & ( ~ c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.78/5.90 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_synthetic__div__correct_H,axiom, % 5.78/5.90 ! [V_p,V_c,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__ring__1(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_c),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)),c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))) = V_p ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_reduce__poly__simple,axiom, % 5.78/5.90 ! [V_n,V_b] : % 5.78/5.90 ( V_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) % 5.78/5.90 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.90 => ? [B_z] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),V_n)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_zero__less__power__nat__eq,axiom, % 5.78/5.90 ! [V_n_2,V_x_2] : % 5.78/5.90 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)) % 5.78/5.90 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.78/5.90 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_synthetic__div__0,axiom, % 5.78/5.90 ! [V_c,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Polynomial_Osynthetic__div(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_synthetic__div__pCons,axiom, % 5.78/5.90 ! [V_c,V_p,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Polynomial_Osynthetic__div(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_c) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_synthetic__div__unique,axiom, % 5.78/5.90 ! [V_r,V_q,V_c,V_p,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,V_q)) = c_Polynomial_OpCons(T_a,V_r,V_q) % 5.78/5.90 => ( V_r = hAPP(c_Polynomial_Opoly(T_a,V_p),V_c) % 5.78/5.90 & V_q = c_Polynomial_Osynthetic__div(T_a,V_p,V_c) ) ) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_synthetic__div__correct,axiom, % 5.78/5.90 ! [V_c,V_p,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.78/5.90 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,c_Polynomial_Osynthetic__div(T_a,V_p,V_c))) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_not__real__square__gt__zero,axiom, % 5.78/5.90 ! [V_x_2] : % 5.78/5.90 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2)) % 5.78/5.90 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 5.78/5.90 ! [V_q,V_p,V_x,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_p,V_q)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 5.78/5.90 ! [V_x,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 5.78/5.90 ! [V_b,V_a,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 5.78/5.90 ! [V_ry,V_rx,V_lx,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.78/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 5.78/5.90 % 5.78/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 5.78/5.90 ! [V_ry,V_rx,V_lx,T_a] : % 5.78/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 5.99/5.90 ! [V_rx,V_ly,V_lx,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 5.99/5.90 ! [V_rx,V_ly,V_lx,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 5.99/5.90 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 5.99/5.90 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 5.99/5.90 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 5.99/5.90 ! [V_d,V_c,V_b,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 5.99/5.90 ! [V_c,V_b,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_b) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 5.99/5.90 ! [V_c,V_b,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 5.99/5.90 ! [V_d,V_c,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_d) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 5.99/5.90 ! [V_d,V_c,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Groups_Oplus__class_Oplus(T_a,V_a,V_d)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 5.99/5.90 ! [V_c,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 5.99/5.90 ! [V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 5.99/5.90 ! [V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 5.99/5.90 ! [V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 5.99/5.90 ! [V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_add__0__iff,axiom, % 5.99/5.90 ! [V_aa_2,V_b_2,T_a] : % 5.99/5.90 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.99/5.90 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2) % 5.99/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 5.99/5.90 ! [V_z,V_y,V_x,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_crossproduct__noteq,axiom, % 5.99/5.90 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.99/5.90 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.99/5.90 => ( ( V_aa_2 != V_b_2 % 5.99/5.90 & V_ca_2 != V_d_2 ) % 5.99/5.90 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 5.99/5.90 ! [V_c,V_b,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 5.99/5.90 ! [V_b,V_m,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_crossproduct__eq,axiom, % 5.99/5.90 ! [V_z_2,V_x_2,V_y_2,V_wa_2,T_a] : % 5.99/5.90 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.99/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_wa_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_wa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2)) % 5.99/5.90 <=> ( V_wa_2 = V_x_2 % 5.99/5.90 | V_y_2 = V_z_2 ) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 5.99/5.90 ! [V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 5.99/5.90 ! [V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 5.99/5.90 ! [V_q,V_y,V_x,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 5.99/5.90 ! [V_q,V_p,V_x,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 5.99/5.90 ! [V_x,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_add__scale__eq__noteq,axiom, % 5.99/5.90 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 5.99/5.90 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.99/5.90 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.90 => ( ( V_a = V_b % 5.99/5.90 & V_c != V_d ) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 5.99/5.90 ! [V_m,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_m,V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 5.99/5.90 ! [V_a,V_m,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 5.99/5.90 ! [V_m,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.90 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 5.99/5.90 ! [V_x,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__ring__1(T_a) % 5.99/5.90 => c_Groups_Ouminus__class_Ouminus(T_a,V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))),V_x) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 5.99/5.90 ! [V_y,V_x,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__ring__1(T_a) % 5.99/5.90 => c_Groups_Ominus__class_Ominus(T_a,V_x,V_y) = c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_pcompose__pCons,axiom, % 5.99/5.90 ! [V_q,V_p,V_a,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.99/5.90 => c_Polynomial_Opcompose(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),c_Polynomial_Opcompose(T_a,V_p,V_q))) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_even__less__0__iff,axiom, % 5.99/5.90 ! [V_aa_2,T_a] : % 5.99/5.90 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.90 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.99/5.90 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_of__real_Opos__bounded,axiom, % 5.99/5.90 ! [T_a] : % 5.99/5.90 ( ( class_RealVector_Oreal__algebra__1(T_a) % 5.99/5.90 & class_RealVector_Oreal__normed__vector(T_a) ) % 5.99/5.90 => ? [B_K] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.99/5.90 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K)) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_pcompose__0,axiom, % 5.99/5.90 ! [V_q,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.99/5.90 => c_Polynomial_Opcompose(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_poly__pcompose,axiom, % 5.99/5.90 ! [V_x,V_q,V_p,T_a] : % 5.99/5.90 ( class_Rings_Ocomm__semiring__0(T_a) % 5.99/5.90 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Opcompose(T_a,V_p,V_q)),V_x) = hAPP(c_Polynomial_Opoly(T_a,V_p),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zero__less__zpower__abs__iff,axiom, % 5.99/5.90 ! [V_n_2,V_x_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x_2)),V_n_2)) % 5.99/5.90 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 5.99/5.90 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zpower__zadd__distrib,axiom, % 5.99/5.90 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zpower__zpower,axiom, % 5.99/5.90 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_double__eq__0__iff,axiom, % 5.99/5.90 ! [V_aa_2,T_a] : % 5.99/5.90 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.99/5.90 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.90 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_unimodular__reduce__norm,axiom, % 5.99/5.90 ! [V_z] : % 5.99/5.90 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) % 5.99/5.90 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.99/5.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.99/5.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.99/5.90 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_order__root,axiom, % 5.99/5.90 ! [V_aa_2,V_pb_2,T_a] : % 5.99/5.90 ( class_Rings_Oidom(T_a) % 5.99/5.90 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.90 <=> ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.99/5.90 | c_Polynomial_Oorder(T_a,V_aa_2,V_pb_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_odd__nonzero,axiom, % 5.99/5.90 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__zminus__inverse2,axiom, % 5.99/5.90 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 5.99/5.90 % 5.99/5.90 fof(fact_odd__less__0,axiom, % 5.99/5.90 ! [V_z_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.99/5.90 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_le__imp__0__less,axiom, % 5.99/5.90 ! [V_z] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) % 5.99/5.90 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__zless__mono,axiom, % 5.99/5.90 ! [V_z,V_z_H,V_w,V_w_H] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w) % 5.99/5.90 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z) % 5.99/5.90 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_H,V_z_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z)) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__strict__right__mono,axiom, % 5.99/5.90 ! [V_k,V_j,V_i] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) % 5.99/5.90 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_j,V_k)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zless__imp__add1__zle,axiom, % 5.99/5.90 ! [V_z,V_w] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z) % 5.99/5.90 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__zmult__distrib,axiom, % 5.99/5.90 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_add1__zle__eq,axiom, % 5.99/5.90 ! [V_z_2,V_wa_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_wa_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2) % 5.99/5.90 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__zmult__distrib2,axiom, % 5.99/5.90 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zless__add1__eq,axiom, % 5.99/5.90 ! [V_z_2,V_wa_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 5.99/5.90 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) % 5.99/5.90 | V_wa_2 = V_z_2 ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zle__add1__eq__le,axiom, % 5.99/5.90 ! [V_z_2,V_wa_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 5.99/5.90 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zabs__def,axiom, % 5.99/5.90 ! [V_i] : % 5.99/5.90 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.99/5.90 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i) ) % 5.99/5.90 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.99/5.90 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = V_i ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_less__bin__lemma,axiom, % 5.99/5.90 ! [V_l_2,V_ka_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_l_2) % 5.99/5.90 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_ka_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zle__diff1__eq,axiom, % 5.99/5.90 ! [V_z_2,V_wa_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 5.99/5.90 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zdiff__zmult__distrib2,axiom, % 5.99/5.90 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zdiff__zmult__distrib,axiom, % 5.99/5.90 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_abs__zmult__eq__1,axiom, % 5.99/5.90 ! [V_n,V_m] : % 5.99/5.90 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 5.99/5.90 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zabs__less__one__iff,axiom, % 5.99/5.90 ! [V_z_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)) % 5.99/5.90 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zero__le__zpower__abs,axiom, % 5.99/5.90 ! [V_n,V_x] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x)),V_n)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zmult__zminus,axiom, % 5.99/5.90 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)),V_w) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zmult__assoc,axiom, % 5.99/5.90 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zless__linear,axiom, % 5.99/5.90 ! [V_y,V_x] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y) % 5.99/5.90 | V_x = V_y % 5.99/5.90 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zless__le,axiom, % 5.99/5.90 ! [V_wa_2,V_z_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2) % 5.99/5.90 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2) % 5.99/5.90 & V_z_2 != V_wa_2 ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zmult__commute,axiom, % 5.99/5.90 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zmult__1__right,axiom, % 5.99/5.90 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 5.99/5.90 % 5.99/5.90 fof(fact_zmult__1,axiom, % 5.99/5.90 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 5.99/5.90 % 5.99/5.90 fof(fact_int__0__neq__1,axiom, % 5.99/5.90 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 5.99/5.90 % 5.99/5.90 fof(fact_int__0__less__1,axiom, % 5.99/5.90 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_int__one__le__iff__zero__less,axiom, % 5.99/5.90 ! [V_z_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2) % 5.99/5.90 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_pos__zmult__eq__1__iff,axiom, % 5.99/5.90 ! [V_n_2,V_ma_2] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2) % 5.99/5.90 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 5.99/5.90 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 5.99/5.90 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zmult__zless__mono2,axiom, % 5.99/5.90 ! [V_k,V_j,V_i] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) % 5.99/5.90 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k) % 5.99/5.90 => c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zminus__0,axiom, % 5.99/5.90 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__0__right,axiom, % 5.99/5.90 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__0,axiom, % 5.99/5.90 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ). % 5.99/5.90 % 5.99/5.90 fof(fact_complex__i__not__zero,axiom, % 5.99/5.90 c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.99/5.90 % 5.99/5.90 fof(fact_complex__i__not__one,axiom, % 5.99/5.90 c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ). % 5.99/5.90 % 5.99/5.90 fof(fact_complex__i__mult__minus,axiom, % 5.99/5.90 ! [V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),V_x)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_x) ). % 5.99/5.90 % 5.99/5.90 fof(fact_inverse__i,axiom, % 5.99/5.90 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii) ). % 5.99/5.90 % 5.99/5.90 fof(fact_i__mult__eq2,axiom, % 5.99/5.90 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_incr__lemma,axiom, % 5.99/5.90 ! [V_x,V_z,V_d] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d) % 5.99/5.90 => c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_z)),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_decr__lemma,axiom, % 5.99/5.90 ! [V_z,V_x,V_d] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d) % 5.99/5.90 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_z)),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)),V_z) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__commute,axiom, % 5.99/5.90 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__left__commute,axiom, % 5.99/5.90 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_z)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__assoc,axiom, % 5.99/5.90 ! [V_z3,V_z2,V_z1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2),V_z3) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z2,V_z3)) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zadd__left__mono,axiom, % 5.99/5.90 ! [V_k,V_j,V_i] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) % 5.99/5.90 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_i),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_j)) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zle__refl,axiom, % 5.99/5.90 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zle__linear,axiom, % 5.99/5.90 ! [V_w,V_z] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) % 5.99/5.90 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zle__trans,axiom, % 5.99/5.90 ! [V_k,V_j,V_i] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) % 5.99/5.90 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k) % 5.99/5.90 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zle__antisym,axiom, % 5.99/5.90 ! [V_w,V_z] : % 5.99/5.90 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) % 5.99/5.90 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) % 5.99/5.90 => V_z = V_w ) ) ). % 5.99/5.90 % 5.99/5.90 fof(fact_zminus__zminus,axiom, % 5.99/5.90 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ). % 5.99/5.91 % 5.99/5.91 fof(fact_diff__int__def__symmetric,axiom, % 5.99/5.91 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) ). % 5.99/5.91 % 5.99/5.91 fof(fact_diff__int__def,axiom, % 5.99/5.91 ! [V_w,V_z] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_zminus__zadd__distrib,axiom, % 5.99/5.91 ! [V_w,V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_self__quotient__aux2,axiom, % 5.99/5.91 ! [V_q,V_r,V_a] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 5.99/5.91 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_self__quotient__aux1,axiom, % 5.99/5.91 ! [V_q,V_r,V_a] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 5.99/5.91 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_zdiv__mono2__neg__lemma,axiom, % 5.99/5.91 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 5.99/5.91 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_unique__quotient__lemma__neg,axiom, % 5.99/5.91 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_zdiv__mono2__lemma,axiom, % 5.99/5.91 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 5.99/5.91 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_unique__quotient__lemma,axiom, % 5.99/5.91 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_q__neg__lemma,axiom, % 5.99/5.91 ! [V_r_H,V_q_H,V_b_H] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_q__pos__lemma,axiom, % 5.99/5.91 ! [V_r_H,V_q_H,V_b_H] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 5.99/5.91 ! [V_n,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 5.99/5.91 ! [V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 5.99/5.91 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 5.99/5.91 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 5.99/5.91 ! [V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 5.99/5.91 ~ ! [B_m] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m) % 5.99/5.91 => ~ ! [B_z] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),B_m) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__refl,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_le__fun__def,axiom, % 5.99/5.91 ! [V_g_2,V_f_2,T_a,T_b] : % 5.99/5.91 ( class_Orderings_Oord(T_b) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.99/5.91 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__linear,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__eq__iff,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( V_x_2 = V_y_2 % 5.99/5.91 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__eq__refl,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( V_x = V_y % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_le__funD,axiom, % 5.99/5.91 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 5.99/5.91 ( class_Orderings_Oord(T_b) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__antisym__conv,axiom, % 5.99/5.91 ! [V_x_2,V_y_2,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> V_x_2 = V_y_2 ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_ord__eq__le__trans,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oord(T_a) % 5.99/5.91 => ( V_a = V_b % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I3_J,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( V_a = V_b % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_ord__le__eq__trans,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oord(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.99/5.91 => ( V_b = V_c % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I4_J,axiom, % 5.99/5.91 ! [V_c,V_a,V_b,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.99/5.91 => ( V_b = V_c % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__antisym,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.99/5.91 => V_x = V_y ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__trans,axiom, % 5.99/5.91 ! [V_z,V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I5_J,axiom, % 5.99/5.91 ! [V_x,V_y,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 => V_x = V_y ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I6_J,axiom, % 5.99/5.91 ! [V_z,V_x,V_y,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_le__funE,axiom, % 5.99/5.91 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 5.99/5.91 ( class_Orderings_Oord(T_b) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__le__cases,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__irrefl,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__neq__iff,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( V_x_2 != V_y_2 % 5.99/5.91 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_not__less__iff__gr__or__eq,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) % 5.99/5.91 | V_x_2 = V_y_2 ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__less__linear,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 | V_x = V_y % 5.99/5.91 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__antisym__conv3,axiom, % 5.99/5.91 ! [V_x_2,V_y_2,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> V_x_2 = V_y_2 ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__neqE,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( V_x != V_y % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_less__imp__neq,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => V_x != V_y ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__not__sym,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__imp__not__less,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__imp__not__eq,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => V_x != V_y ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__imp__not__eq2,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => V_y != V_x ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__asym_H,axiom, % 5.99/5.91 ! [V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.99/5.91 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I9_J,axiom, % 5.99/5.91 ! [V_a,V_b,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.99/5.91 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_ord__eq__less__trans,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oord(T_a) % 5.99/5.91 => ( V_a = V_b % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I1_J,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( V_a = V_b % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_ord__less__eq__trans,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oord(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.99/5.91 => ( V_b = V_c % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I2_J,axiom, % 5.99/5.91 ! [V_c,V_a,V_b,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.99/5.91 => ( V_b = V_c % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__trans,axiom, % 5.99/5.91 ! [V_z,V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I10_J,axiom, % 5.99/5.91 ! [V_z,V_x,V_y,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__asym,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__cases,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => ( V_x != V_y % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__not__less,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__not__le,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__le__less__linear,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__le,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 & V_x_2 != V_y_2 ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_less__le__not__le,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__le__less,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 | V_x_2 = V_y_2 ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_leI,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_not__leE,axiom, % 5.99/5.91 ! [V_x,V_y,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__antisym__conv1,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> V_x_2 = V_y_2 ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__neq__le__trans,axiom, % 5.99/5.91 ! [V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( V_a != V_b % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I12_J,axiom, % 5.99/5.91 ! [V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( V_a != V_b % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_leD,axiom, % 5.99/5.91 ! [V_x,V_y,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.99/5.91 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__imp__le,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_linorder__antisym__conv2,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Orderings_Olinorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.99/5.91 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.99/5.91 <=> V_x_2 = V_y_2 ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__le__imp__less__or__eq,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 | V_x = V_y ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__le__neq__trans,axiom, % 5.99/5.91 ! [V_b,V_a,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.99/5.91 => ( V_a != V_b % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I11_J,axiom, % 5.99/5.91 ! [V_a,V_b,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.99/5.91 => ( V_a != V_b % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__less__le__trans,axiom, % 5.99/5.91 ! [V_z,V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I7_J,axiom, % 5.99/5.91 ! [V_z,V_x,V_y,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__le__less__trans,axiom, % 5.99/5.91 ! [V_z,V_y,V_x,T_a] : % 5.99/5.91 ( class_Orderings_Opreorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_xt1_I8_J,axiom, % 5.99/5.91 ! [V_z,V_x,V_y,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096,axiom, % 5.99/5.91 ? [B_k,B_a] : % 5.99/5.91 ( B_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) % 5.99/5.91 & B_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.99/5.91 & ? [B_q] : % 5.99/5.91 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) % 5.99/5.91 & ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),B_k)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,B_a,B_q)),B_z))) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__add__one,axiom, % 5.99/5.91 ! [V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.99/5.91 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_less__fun__def,axiom, % 5.99/5.91 ! [V_g_2,V_f_2,T_a,T_b] : % 5.99/5.91 ( class_Orderings_Oord(T_b) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.99/5.91 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.99/5.91 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__zero,axiom, % 5.99/5.91 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.99/5.91 % 5.99/5.91 fof(fact_zero__le__natceiling,axiom, % 5.99/5.91 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__mono,axiom, % 5.99/5.91 ! [V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__one,axiom, % 5.99/5.91 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__neg,axiom, % 5.99/5.91 ! [V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.99/5.91 => c_RComplete_Onatceiling(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__le__eq__one,axiom, % 5.99/5.91 ! [V_x_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_power__power__power,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( class_Power_Opower(T_a) % 5.99/5.91 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_of__real_Ononneg__bounded,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( ( class_RealVector_Oreal__algebra__1(T_a) % 5.99/5.91 & class_RealVector_Oreal__normed__vector(T_a) ) % 5.99/5.91 => ? [B_K] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.99/5.91 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_power_Opower_Opower__0,axiom, % 5.99/5.91 ! [V_aa_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 5.99/5.91 % 5.99/5.91 fof(fact_lemmaCauchy,axiom, % 5.99/5.91 ! [V_X_2,V_M_2,T_a,T_b] : % 5.99/5.91 ( ( class_RealVector_Oreal__normed__vector(T_b) % 5.99/5.91 & class_Orderings_Oord(T_a) ) % 5.99/5.91 => ( ! [B_n] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) % 5.99/5.91 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,c_Groups_Ominus__class_Ominus(T_b,hAPP(V_X_2,V_M_2),hAPP(V_X_2,B_n))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) % 5.99/5.91 => ! [B_n] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) % 5.99/5.91 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,V_M_2)))) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_mult_Opos__bounded,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.99/5.91 => ? [B_K] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.99/5.91 & ! [B_a,B_b] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_a),B_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_a)),c_RealVector_Onorm__class_Onorm(T_a,B_b))),B_K)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_mult__left_Opos__bounded,axiom, % 5.99/5.91 ! [V_y,T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.99/5.91 => ? [B_K] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.99/5.91 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_mult__right_Opos__bounded,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.99/5.91 => ? [B_K] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.99/5.91 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 5.99/5.91 ~ ! [B_q] : % 5.99/5.91 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) % 5.99/5.91 => ~ ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__add__one,axiom, % 5.99/5.91 ! [V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.99/5.91 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__one,axiom, % 5.99/5.91 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__zero,axiom, % 5.99/5.91 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__mono,axiom, % 5.99/5.91 ! [V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_zero__le__natfloor,axiom, % 5.99/5.91 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__neg,axiom, % 5.99/5.91 ! [V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.99/5.91 => c_RComplete_Onatfloor(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_le__natfloor__eq__one,axiom, % 5.99/5.91 ! [V_x_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_x_2)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_le__mult__natfloor,axiom, % 5.99/5.91 ! [V_b,V_a] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b))) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_tsub__def,axiom, % 5.99/5.91 ! [V_x,V_y] : % 5.99/5.91 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 5.99/5.91 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) % 5.99/5.91 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 5.99/5.91 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_termination__basic__simps_I3_J,axiom, % 5.99/5.91 ! [V_z,V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 5.99/5.91 ! [V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_tsub__eq,axiom, % 5.99/5.91 ! [V_x,V_y] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 5.99/5.91 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_termination__basic__simps_I1_J,axiom, % 5.99/5.91 ! [V_z,V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_termination__basic__simps_I2_J,axiom, % 5.99/5.91 ! [V_y,V_z,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z) % 5.99/5.91 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_termination__basic__simps_I5_J,axiom, % 5.99/5.91 ! [V_y,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_termination__basic__simps_I4_J,axiom, % 5.99/5.91 ! [V_y,V_z,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__eq,axiom, % 5.99/5.91 ! [V_x,V_n] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) % 5.99/5.91 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_pos__poly__pCons,axiom, % 5.99/5.91 ! [V_pb_2,V_aa_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Polynomial_Opos__poly(T_a,c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2)) % 5.99/5.91 <=> ( c_Polynomial_Opos__poly(T_a,V_pb_2) % 5.99/5.91 | ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.99/5.91 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__ge__zero,axiom, % 5.99/5.91 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__diff,axiom, % 5.99/5.91 ! [V_m,V_n] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.99/5.91 => c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__less__iff,axiom, % 5.99/5.91 ! [V_ma_2,V_n_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_not__real__of__nat__less__zero,axiom, % 5.99/5.91 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__power,axiom, % 5.99/5.91 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) ). % 5.99/5.91 % 5.99/5.91 fof(fact_power__real__of__nat,axiom, % 5.99/5.91 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__zero,axiom, % 5.99/5.91 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__zero__iff,axiom, % 5.99/5.91 ! [V_n_2] : % 5.99/5.91 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.99/5.91 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__mult,axiom, % 5.99/5.91 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_not__pos__poly__0,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_abs__real__of__nat__cancel,axiom, % 5.99/5.91 ! [V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x)) = c_RealDef_Oreal(tc_Nat_Onat,V_x) ). % 5.99/5.91 % 5.99/5.91 fof(fact_pos__poly__mult,axiom, % 5.99/5.91 ! [V_q,V_p,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Polynomial_Opos__poly(T_a,V_p) % 5.99/5.91 => ( c_Polynomial_Opos__poly(T_a,V_q) % 5.99/5.91 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__inject,axiom, % 5.99/5.91 ! [V_ma_2,V_n_2] : % 5.99/5.91 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_RealDef_Oreal(tc_Nat_Onat,V_ma_2) % 5.99/5.91 <=> V_n_2 = V_ma_2 ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__add,axiom, % 5.99/5.91 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__1,axiom, % 5.99/5.91 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ). % 5.99/5.91 % 5.99/5.91 fof(fact_pos__poly__add,axiom, % 5.99/5.91 ! [V_q,V_p,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Polynomial_Opos__poly(T_a,V_p) % 5.99/5.91 => ( c_Polynomial_Opos__poly(T_a,V_q) % 5.99/5.91 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__le__zero__cancel__iff,axiom, % 5.99/5.91 ! [V_n_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.99/5.91 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__natceiling__ge,axiom, % 5.99/5.91 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__le__iff,axiom, % 5.99/5.91 ! [V_ma_2,V_n_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_less__eq__poly__def,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) % 5.99/5.91 <=> ( V_x_2 = V_y_2 % 5.99/5.91 | c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__real__of__nat,axiom, % 5.99/5.91 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__real__of__nat,axiom, % 5.99/5.91 ! [V_n] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__natfloor__le,axiom, % 5.99/5.91 ! [V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_le__natfloor,axiom, % 5.99/5.91 ! [V_a,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__le,axiom, % 5.99/5.91 ! [V_a,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__power,axiom, % 5.99/5.91 ! [V_n,V_x] : % 5.99/5.91 ( V_x = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)) % 5.99/5.91 => c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom, % 5.99/5.91 ! [V_n_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_nat__less__real__le,axiom, % 5.99/5.91 ! [V_ma_2,V_n_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_nat__le__real__less,axiom, % 5.99/5.91 ! [V_ma_2,V_n_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_ma_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_le__natfloor__eq,axiom, % 5.99/5.91 ! [V_aa_2,V_x_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_aa_2,c_RComplete_Onatfloor(V_x_2)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_aa_2),V_x_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_pos__poly__total,axiom, % 5.99/5.91 ! [V_p,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.99/5.91 | c_Polynomial_Opos__poly(T_a,V_p) % 5.99/5.91 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__le__eq,axiom, % 5.99/5.91 ! [V_aa_2,V_x_2] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),V_aa_2) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_RealDef_Oreal(tc_Nat_Onat,V_aa_2)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__natfloor__add__one__gt,axiom, % 5.99/5.91 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__subtract,axiom, % 5.99/5.91 ! [V_x,V_a] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x) % 5.99/5.91 => c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_real__natfloor__gt__diff__one,axiom, % 5.99/5.91 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__subtract,axiom, % 5.99/5.91 ! [V_x,V_a] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x) % 5.99/5.91 => c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_less__natfloor,axiom, % 5.99/5.91 ! [V_n,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n)) % 5.99/5.91 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__add,axiom, % 5.99/5.91 ! [V_a,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.99/5.91 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_ge__natfloor__plus__one__imp__gt,axiom, % 5.99/5.91 ! [V_n,V_z] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_z),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) % 5.99/5.91 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natfloor__eq,axiom, % 5.99/5.91 ! [V_x,V_n] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) % 5.99/5.91 => c_RComplete_Onatfloor(V_x) = V_n ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_natceiling__add,axiom, % 5.99/5.91 ! [V_a,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.99/5.91 => c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_less__poly__def,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) % 5.99/5.91 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom, % 5.99/5.91 ! [V_n,V_x] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),V_n)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_reals__Archimedean6,axiom, % 5.99/5.91 ! [V_r] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r) % 5.99/5.91 => ? [B_n] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_r) % 5.99/5.91 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,B_n)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_Limits_Ominus__diff__minus,axiom, % 5.99/5.91 ! [V_b,V_a,T_a] : % 5.99/5.91 ( class_Groups_Oab__group__add(T_a) % 5.99/5.91 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_decseq__def,axiom, % 5.99/5.91 ! [V_X_2,T_a] : % 5.99/5.91 ( class_Orderings_Oorder(T_a) % 5.99/5.91 => ( c_SEQ_Odecseq(T_a,V_X_2) % 5.99/5.91 <=> ! [B_m,B_n] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_poly__cont,axiom, % 5.99/5.91 ! [V_p,V_z,V_e] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e) % 5.99/5.91 => ? [B_d] : % 5.99/5.91 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d) % 5.99/5.91 & ! [B_w] : % 5.99/5.91 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z))) % 5.99/5.91 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z)),B_d) ) % 5.99/5.91 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),V_z))),V_e) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_compl__mono,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_Lattices_Oboolean__algebra(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.99/5.91 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_y),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_compl__le__compl__iff,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Lattices_Oboolean__algebra(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_minus__apply,axiom, % 5.99/5.91 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : % 5.99/5.91 ( class_Groups_Ominus(T_a) % 5.99/5.91 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_mult__left__idem,axiom, % 5.99/5.91 ! [V_b,V_a,T_a] : % 5.99/5.91 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 5.99/5.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_mult__idem,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 5.99/5.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_times_Oidem,axiom, % 5.99/5.91 ! [V_a,T_a] : % 5.99/5.91 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 5.99/5.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_compl__eq__compl__iff,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Lattices_Oboolean__algebra(T_a) % 5.99/5.91 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) % 5.99/5.91 <=> V_x_2 = V_y_2 ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_uminus__apply,axiom, % 5.99/5.91 ! [V_x_2,V_A_2,T_b,T_a] : % 5.99/5.91 ( class_Groups_Ouminus(T_a) % 5.99/5.91 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_double__compl,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_Lattices_Oboolean__algebra(T_a) % 5.99/5.91 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_of__real_Obounded,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( ( class_RealVector_Oreal__algebra__1(T_a) % 5.99/5.91 & class_RealVector_Oreal__normed__vector(T_a) ) % 5.99/5.91 => ? [B_K] : % 5.99/5.91 ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_RealVector_Oof__real(T_a,B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,B_x)),B_K)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__poly__def,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) % 5.99/5.91 & ( V_x != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.99/5.91 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) ) % 5.99/5.91 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) ) ) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__less,axiom, % 5.99/5.91 ! [V_aa_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__greater,axiom, % 5.99/5.91 ! [V_aa_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_aa_2)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_mult__sgn__abs,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),c_Groups_Oabs__class_Oabs(T_a,V_x)) = V_x ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_abs__sgn,axiom, % 5.99/5.91 ! [V_k,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => c_Groups_Oabs__class_Oabs(T_a,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__zero__iff,axiom, % 5.99/5.91 ! [V_x_2,T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__vector(T_a) % 5.99/5.91 => ( c_Groups_Osgn__class_Osgn(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.91 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__zero,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__vector(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__0__0,axiom, % 5.99/5.91 ! [V_aa_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.91 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__times,axiom, % 5.99/5.91 ! [V_b,V_a,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__mult,axiom, % 5.99/5.91 ! [V_y,V_x,T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),c_Groups_Osgn__class_Osgn(T_a,V_y)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn0,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( class_Groups_Osgn__if(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__sgn,axiom, % 5.99/5.91 ! [V_a,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__of__real,axiom, % 5.99/5.91 ! [V_r,T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,c_RealVector_Oof__real(T_a,V_r)) = c_RealVector_Oof__real(T_a,c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_r)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__one,axiom, % 5.99/5.91 ! [T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__minus,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__vector(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__pos,axiom, % 5.99/5.91 ! [V_a,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__1__pos,axiom, % 5.99/5.91 ! [V_aa_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Oone__class_Oone(T_a) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__neg,axiom, % 5.99/5.91 ! [V_a,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__1__neg,axiom, % 5.99/5.91 ! [V_aa_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) % 5.99/5.91 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_sgn__if,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_Groups_Osgn__if(T_a) % 5.99/5.91 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 5.99/5.91 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.91 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 5.99/5.91 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.99/5.91 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_norm__sgn,axiom, % 5.99/5.91 ! [V_x,T_a] : % 5.99/5.91 ( class_RealVector_Oreal__normed__vector(T_a) % 5.99/5.91 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.91 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) % 5.99/5.91 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 5.99/5.91 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_order__1,axiom, % 5.99/5.91 ! [V_p,V_a,T_a] : % 5.99/5.91 ( class_Rings_Oidom(T_a) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Oorder(T_a,V_a,V_p)),V_p) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_offset__poly__pCons,axiom, % 5.99/5.91 ! [V_h,V_p,V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__0(T_a) % 5.99/5.91 => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_h) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),c_Polynomial_OpCons(T_a,V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h))) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__0__right,axiom, % 5.99/5.91 ! [V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_minus__dvd__iff,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__ring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),V_y_2) % 5.99/5.91 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__minus__iff,axiom, % 5.99/5.91 ! [V_y_2,V_x_2,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__ring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_x_2,c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)) % 5.99/5.91 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__diff,axiom, % 5.99/5.91 ! [V_z,V_y,V_x,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__ring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_z) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,V_x,c_Groups_Ominus__class_Ominus(T_a,V_y,V_z)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_inf__period_I4_J,axiom, % 5.99/5.91 ! [V_ta_2,V_D_2,V_d_2,T_a] : % 5.99/5.91 ( ( class_Rings_Ocomm__ring(T_a) % 5.99/5.91 & class_Rings_Odvd(T_a) ) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2) % 5.99/5.91 => ! [B_x,B_k] : % 5.99/5.91 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_ta_2)) % 5.99/5.91 <=> c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_ta_2)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_inf__period_I3_J,axiom, % 5.99/5.91 ! [V_ta_2,V_D_2,V_d_2,T_a] : % 5.99/5.91 ( ( class_Rings_Ocomm__ring(T_a) % 5.99/5.91 & class_Rings_Odvd(T_a) ) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2) % 5.99/5.91 => ! [B_x,B_k] : % 5.99/5.91 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_ta_2)) % 5.99/5.91 <=> c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_ta_2)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_unity__coeff__ex,axiom, % 5.99/5.91 ! [V_l_2,V_P_2,T_a] : % 5.99/5.91 ( ( class_Rings_Odvd(T_a) % 5.99/5.91 & class_Rings_Osemiring__0(T_a) ) % 5.99/5.91 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_l_2),B_x))) % 5.99/5.91 <=> ? [B_x] : % 5.99/5.91 ( c_Rings_Odvd__class_Odvd(T_a,V_l_2,c_Groups_Oplus__class_Oplus(T_a,B_x,c_Groups_Ozero__class_Ozero(T_a))) % 5.99/5.91 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_one__dvd,axiom, % 5.99/5.91 ! [V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__add,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_offset__poly__eq__0__iff,axiom, % 5.99/5.91 ! [V_h_2,V_pb_2,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__0(T_a) % 5.99/5.91 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_pb_2,V_h_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.99/5.91 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_offset__poly__0,axiom, % 5.99/5.91 ! [V_h,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__0(T_a) % 5.99/5.91 => c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_smult__dvd__cancel,axiom, % 5.99/5.91 ! [V_q,V_p,V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__smult,axiom, % 5.99/5.91 ! [V_a,V_q,V_p,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__refl,axiom, % 5.99/5.91 ! [V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_a) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__trans,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__abs__iff,axiom, % 5.99/5.91 ! [V_ka_2,V_ma_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_ma_2,c_Groups_Oabs__class_Oabs(T_a,V_ka_2)) % 5.99/5.91 <=> c_Rings_Odvd__class_Odvd(T_a,V_ma_2,V_ka_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_abs__dvd__iff,axiom, % 5.99/5.91 ! [V_ka_2,V_ma_2,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oabs__class_Oabs(T_a,V_ma_2),V_ka_2) % 5.99/5.91 <=> c_Rings_Odvd__class_Odvd(T_a,V_ma_2,V_ka_2) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__if__abs__eq,axiom, % 5.99/5.91 ! [V_k,V_l,T_a] : % 5.99/5.91 ( class_Rings_Olinordered__idom(T_a) % 5.99/5.91 => ( c_Groups_Oabs__class_Oabs(T_a,V_l) = c_Groups_Oabs__class_Oabs(T_a,V_k) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,V_l,V_k) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__power__same,axiom, % 5.99/5.91 ! [V_n,V_y,V_x,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ). % 5.99/5.91 % 5.99/5.91 fof(fact_dvd__mult__right,axiom, % 5.99/5.91 ! [V_c,V_b,V_a,T_a] : % 5.99/5.91 ( class_Rings_Ocomm__semiring__1(T_a) % 5.99/5.91 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) % 5.99/5.91 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) ) ) ). % 5.99/5.91 % 5.99/5.91 %----Arity declarations (289) % 5.99/5.91 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom, % 5.99/5.91 ! [T_1] : % 5.99/5.91 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 5.99/5.91 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom, % 5.99/5.91 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 5.99/5.91 % 5.99/5.91 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom, % 5.99/5.91 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom, % 5.99/5.91 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom, % 5.99/5.91 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 5.99/5.91 ! [T_2,T_1] : % 5.99/5.91 ( class_Lattices_Oboolean__algebra(T_1) % 5.99/5.91 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 5.99/5.91 % 5.99/5.91 fof(arity_fun__Orderings_Opreorder,axiom, % 5.99/5.91 ! [T_2,T_1] : % 5.99/5.91 ( class_Orderings_Opreorder(T_1) % 5.99/5.91 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 5.99/5.91 % 5.99/5.91 fof(arity_fun__Orderings_Oorder,axiom, % 5.99/5.91 ! [T_2,T_1] : % 5.99/5.91 ( class_Orderings_Oorder(T_1) % 5.99/5.91 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 5.99/5.91 % 5.99/5.91 fof(arity_fun__Orderings_Oord,axiom, % 5.99/5.91 ! [T_2,T_1] : % 5.99/5.91 ( class_Orderings_Oord(T_1) % 5.99/5.91 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 5.99/5.91 % 5.99/5.91 fof(arity_fun__Groups_Ouminus,axiom, % 5.99/5.91 ! [T_2,T_1] : % 5.99/5.91 ( class_Groups_Ouminus(T_1) % 5.99/5.91 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 5.99/5.91 % 5.99/5.91 fof(arity_fun__Groups_Ominus,axiom, % 5.99/5.91 ! [T_2,T_1] : % 5.99/5.91 ( class_Groups_Ominus(T_1) % 5.99/5.91 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.99/5.91 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.99/5.91 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.99/5.91 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 5.99/5.91 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 5.99/5.91 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 5.99/5.91 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 5.99/5.91 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 5.99/5.91 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 5.99/5.91 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 5.99/5.91 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 5.99/5.91 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 5.99/5.91 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 5.99/5.91 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 5.99/5.91 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 5.99/5.91 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 5.99/5.91 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 5.99/5.91 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 5.99/5.91 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 5.99/5.91 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 5.99/5.91 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 5.99/5.91 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 5.99/5.91 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 5.99/5.91 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 5.99/5.91 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 5.99/5.91 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 5.99/5.91 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 5.99/5.91 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 5.99/5.91 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 5.99/5.91 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 5.99/5.91 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 5.99/5.91 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom, % 5.99/5.91 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ). % 5.99/5.91 % 5.99/5.91 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 5.99/5.92 class_Groups_Oab__group__add(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 5.99/5.92 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 5.99/5.92 class_Rings_Oordered__ring(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 5.99/5.92 class_Orderings_Opreorder(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 5.99/5.92 class_Orderings_Olinorder(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 5.99/5.92 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 5.99/5.92 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 5.99/5.92 class_Groups_Omonoid__add(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 5.99/5.92 class_Rings_Osemiring__0(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 5.99/5.92 class_Groups_Ogroup__add(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 5.99/5.92 class_Rings_Omult__zero(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 5.99/5.92 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 5.99/5.92 class_Orderings_Oorder(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 5.99/5.92 class_Int_Oring__char__0(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 5.99/5.92 class_Rings_Osemiring(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Orderings_Oord,axiom, % 5.99/5.92 class_Orderings_Oord(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 5.99/5.92 class_Groups_Ouminus(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 5.99/5.92 class_Groups_Osgn__if(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 5.99/5.92 class_Groups_Oabs__if(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 5.99/5.92 class_Rings_Oring__1(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Ominus,axiom, % 5.99/5.92 class_Groups_Ominus(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Power_Opower,axiom, % 5.99/5.92 class_Power_Opower(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Ozero,axiom, % 5.99/5.92 class_Groups_Ozero(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Oring,axiom, % 5.99/5.92 class_Rings_Oring(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Oidom,axiom, % 5.99/5.92 class_Rings_Oidom(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Groups_Oone,axiom, % 5.99/5.92 class_Groups_Oone(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Int__Oint__Rings_Odvd,axiom, % 5.99/5.92 class_Rings_Odvd(tc_Int_Oint) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.99/5.92 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.99/5.92 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 5.99/5.92 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 5.99/5.92 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 5.99/5.92 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 5.99/5.92 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 5.99/5.92 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 5.99/5.92 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 5.99/5.92 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 5.99/5.92 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 5.99/5.92 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 5.99/5.92 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 5.99/5.92 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 5.99/5.92 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 5.99/5.92 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 5.99/5.92 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 5.99/5.92 class_Orderings_Opreorder(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 5.99/5.92 class_Orderings_Olinorder(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 5.99/5.92 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 5.99/5.92 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 5.99/5.92 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 5.99/5.92 class_Rings_Omult__zero(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 5.99/5.92 class_Orderings_Oorder(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 5.99/5.92 class_Rings_Osemiring(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 5.99/5.92 class_Orderings_Oord(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 5.99/5.92 class_Groups_Ominus(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Power_Opower,axiom, % 5.99/5.92 class_Power_Opower(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 5.99/5.92 class_Groups_Ozero(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Groups_Oone,axiom, % 5.99/5.92 class_Groups_Oone(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 5.99/5.92 class_Rings_Odvd(tc_Nat_Onat) ). % 5.99/5.92 % 5.99/5.92 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 5.99/5.92 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 5.99/5.92 % 5.99/5.92 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 5.99/5.92 class_Orderings_Opreorder(tc_HOL_Obool) ). % 5.99/5.92 % 5.99/5.92 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 5.99/5.92 class_Orderings_Oorder(tc_HOL_Obool) ). % 5.99/5.92 % 5.99/5.92 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 5.99/5.92 class_Orderings_Oord(tc_HOL_Obool) ). % 5.99/5.92 % 5.99/5.92 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 5.99/5.92 class_Groups_Ouminus(tc_HOL_Obool) ). % 5.99/5.92 % 5.99/5.92 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 5.99/5.92 class_Groups_Ominus(tc_HOL_Obool) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.99/5.92 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.99/5.92 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom, % 5.99/5.92 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom, % 5.99/5.92 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom, % 5.99/5.92 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom, % 5.99/5.92 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom, % 5.99/5.92 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom, % 5.99/5.92 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom, % 5.99/5.92 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom, % 5.99/5.92 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom, % 5.99/5.92 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom, % 5.99/5.92 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom, % 5.99/5.92 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom, % 5.99/5.92 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom, % 5.99/5.92 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom, % 5.99/5.92 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__RealVector_Oreal__div__algebra,axiom, % 5.99/5.92 class_RealVector_Oreal__div__algebra(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom, % 5.99/5.92 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom, % 5.99/5.92 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom, % 5.99/5.92 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom, % 5.99/5.92 class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom, % 5.99/5.92 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom, % 5.99/5.92 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom, % 5.99/5.92 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom, % 5.99/5.92 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom, % 5.99/5.92 class_Fields_Olinordered__field(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom, % 5.99/5.92 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oordered__ring__abs,axiom, % 5.99/5.92 class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom, % 5.99/5.92 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom, % 5.99/5.92 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom, % 5.99/5.92 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom, % 5.99/5.92 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom, % 5.99/5.92 class_Rings_Odivision__ring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom, % 5.99/5.92 class_Groups_Oab__group__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom, % 5.99/5.92 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom, % 5.99/5.92 class_Rings_Oordered__ring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom, % 5.99/5.92 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom, % 5.99/5.92 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom, % 5.99/5.92 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom, % 5.99/5.92 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom, % 5.99/5.92 class_Groups_Omonoid__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom, % 5.99/5.92 class_Rings_Osemiring__0(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom, % 5.99/5.92 class_Groups_Ogroup__add(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom, % 5.99/5.92 class_Rings_Omult__zero(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom, % 5.99/5.92 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom, % 5.99/5.92 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom, % 5.99/5.92 class_Int_Oring__char__0(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom, % 5.99/5.92 class_Rings_Osemiring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Orderings_Oord,axiom, % 5.99/5.92 class_Orderings_Oord(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom, % 5.99/5.92 class_Groups_Ouminus(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom, % 5.99/5.92 class_Groups_Osgn__if(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom, % 5.99/5.92 class_Groups_Oabs__if(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom, % 5.99/5.92 class_Rings_Oring__1(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ominus,axiom, % 5.99/5.92 class_Groups_Ominus(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Fields_Ofield,axiom, % 5.99/5.92 class_Fields_Ofield(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Power_Opower,axiom, % 5.99/5.92 class_Power_Opower(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Ozero,axiom, % 5.99/5.92 class_Groups_Ozero(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oring,axiom, % 5.99/5.92 class_Rings_Oring(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Oidom,axiom, % 5.99/5.92 class_Rings_Oidom(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Groups_Oone,axiom, % 5.99/5.92 class_Groups_Oone(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_RealDef__Oreal__Rings_Odvd,axiom, % 5.99/5.92 class_Rings_Odvd(tc_RealDef_Oreal) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.99/5.92 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom, % 5.99/5.92 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom, % 5.99/5.92 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 5.99/5.92 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom, % 5.99/5.92 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__RealVector_Oreal__div__algebra,axiom, % 5.99/5.92 class_RealVector_Oreal__div__algebra(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom, % 5.99/5.92 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__RealVector_Oreal__algebra__1,axiom, % 5.99/5.92 class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom, % 5.99/5.92 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom, % 5.99/5.92 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom, % 5.99/5.92 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom, % 5.99/5.92 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom, % 5.99/5.92 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom, % 5.99/5.92 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom, % 5.99/5.92 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom, % 5.99/5.92 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom, % 5.99/5.92 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom, % 5.99/5.92 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom, % 5.99/5.92 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom, % 5.99/5.92 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom, % 5.99/5.92 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom, % 5.99/5.92 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom, % 5.99/5.92 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom, % 5.99/5.92 class_Rings_Omult__zero(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom, % 5.99/5.92 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom, % 5.99/5.92 class_Int_Oring__char__0(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom, % 5.99/5.92 class_Rings_Osemiring(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom, % 5.99/5.92 class_Groups_Ouminus(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom, % 5.99/5.92 class_Rings_Oring__1(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom, % 5.99/5.92 class_Groups_Ominus(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom, % 5.99/5.92 class_Fields_Ofield(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Power_Opower,axiom, % 5.99/5.92 class_Power_Opower(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom, % 5.99/5.92 class_Groups_Ozero(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Oring,axiom, % 5.99/5.92 class_Rings_Oring(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom, % 5.99/5.92 class_Rings_Oidom(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Groups_Oone,axiom, % 5.99/5.92 class_Groups_Oone(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom, % 5.99/5.92 class_Rings_Odvd(tc_Complex_Ocomplex) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Oidom(T_1) % 5.99/5.92 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 5.99/5.92 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Oidom(T_1) % 5.99/5.92 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Oidom(T_1) % 5.99/5.92 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 5.99/5.92 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__0(T_1) % 5.99/5.92 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__1(T_1) % 5.99/5.92 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Ocomm__monoid__add(T_1) % 5.99/5.92 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oordered__ring__abs,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Oidom(T_1) % 5.99/5.92 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Ocomm__monoid__add(T_1) % 5.99/5.92 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__1(T_1) % 5.99/5.92 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__0(T_1) % 5.99/5.92 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__0(T_1) % 5.99/5.92 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Oab__group__add(T_1) % 5.99/5.92 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__1(T_1) % 5.99/5.92 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__1(T_1) % 5.99/5.92 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__ring__1(T_1) % 5.99/5.92 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Ocomm__monoid__add(T_1) % 5.99/5.92 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__0(T_1) % 5.99/5.92 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Oab__group__add(T_1) % 5.99/5.92 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__0(T_1) % 5.99/5.92 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__ring(T_1) % 5.99/5.92 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__0(T_1) % 5.99/5.92 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Oab__group__add(T_1) % 5.99/5.92 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oabs__if,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Olinordered__idom(T_1) % 5.99/5.92 => class_Groups_Oabs__if(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__ring__1(T_1) % 5.99/5.92 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Oab__group__add(T_1) % 5.99/5.92 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Power_Opower,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__1(T_1) % 5.99/5.92 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Groups_Ozero(T_1) % 5.99/5.92 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oring,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__ring(T_1) % 5.99/5.92 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Oidom(T_1) % 5.99/5.92 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Groups_Oone,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__1(T_1) % 5.99/5.92 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom, % 5.99/5.92 ! [T_1] : % 5.99/5.92 ( class_Rings_Ocomm__semiring__1(T_1) % 5.99/5.92 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ). % 5.99/5.92 % 5.99/5.92 %----Conjectures (3) % 5.99/5.92 fof(conj_0,hypothesis, % 5.99/5.92 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),v_t____),v_k____)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_t____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))))) ). % 5.99/5.92 % 5.99/5.92 fof(conj_1,hypothesis, % 5.99/5.92 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____))),v_m____) ). % 5.99/5.92 % 5.99/5.92 fof(conj_2,conjecture, % 5.99/5.92 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),v_k____))),v_m____)) ). % 5.99/5.92 % 5.99/5.92 %------------------------------------------------------------------------------ % 5.99/5.92 %------------------------------------------- % 5.99/5.92 % Proof found % 5.99/5.92 % SZS status Theorem for theBenchmark % 5.99/5.92 % SZS output start Proof % 5.99/5.92 %ClaNum:1807(EqnAxiom:204) % 5.99/5.92 %VarNum:8714(SingletonVarNum:2988) % 5.99/5.92 %MaxLitNum:7 % 5.99/5.92 %MaxfuncDepth:9 % 5.99/5.92 %SharedTerms:472 % 5.99/5.92 %goalClause: 607 % 5.99/5.92 %singleGoalClaCount:1 % 5.99/5.92 [205]P1(a1) % 5.99/5.92 [206]P1(a2) % 5.99/5.92 [207]P49(a1) % 5.99/5.92 [208]P49(a69) % 5.99/5.92 [209]P49(a70) % 5.99/5.92 [210]P2(a1) % 5.99/5.92 [211]P2(a2) % 5.99/5.92 [212]P3(a1) % 5.99/5.92 [213]P3(a2) % 5.99/5.92 [214]P4(a1) % 5.99/5.92 [215]P4(a2) % 5.99/5.92 [216]P4(a69) % 5.99/5.92 [217]P4(a70) % 5.99/5.92 [218]P28(a1) % 5.99/5.92 [219]P28(a2) % 5.99/5.92 [220]P28(a69) % 5.99/5.92 [221]P28(a70) % 5.99/5.92 [222]P46(a1) % 5.99/5.92 [223]P46(a2) % 5.99/5.92 [224]P63(a1) % 5.99/5.92 [225]P63(a2) % 5.99/5.92 [226]P63(a70) % 5.99/5.92 [227]P64(a1) % 5.99/5.92 [228]P64(a2) % 5.99/5.92 [229]P64(a69) % 5.99/5.92 [230]P64(a70) % 5.99/5.92 [231]P69(a1) % 5.99/5.92 [232]P69(a2) % 5.99/5.92 [233]P69(a69) % 5.99/5.92 [234]P69(a70) % 5.99/5.92 [235]P77(a1) % 5.99/5.92 [236]P77(a2) % 5.99/5.92 [237]P77(a69) % 5.99/5.92 [238]P77(a70) % 5.99/5.92 [239]P5(a1) % 5.99/5.92 [240]P5(a2) % 5.99/5.92 [241]P5(a69) % 5.99/5.92 [242]P5(a70) % 5.99/5.92 [243]P78(a1) % 5.99/5.92 [244]P78(a2) % 5.99/5.92 [245]P78(a69) % 5.99/5.92 [246]P78(a70) % 5.99/5.92 [247]P48(a1) % 5.99/5.92 [248]P48(a2) % 5.99/5.92 [249]P50(a1) % 5.99/5.92 [250]P50(a70) % 5.99/5.92 [251]P65(a1) % 5.99/5.92 [252]P65(a69) % 5.99/5.92 [253]P65(a70) % 5.99/5.92 [254]P66(a1) % 5.99/5.92 [255]P66(a69) % 5.99/5.92 [256]P66(a70) % 5.99/5.92 [257]P24(a1) % 5.99/5.92 [258]P24(a2) % 5.99/5.92 [259]P24(a70) % 5.99/5.92 [260]P70(a1) % 5.99/5.92 [261]P70(a2) % 5.99/5.92 [262]P70(a70) % 5.99/5.92 [263]P51(a1) % 5.99/5.92 [264]P51(a2) % 5.99/5.92 [265]P51(a70) % 5.99/5.92 [266]P52(a1) % 5.99/5.92 [267]P52(a2) % 5.99/5.92 [268]P52(a69) % 5.99/5.92 [269]P52(a70) % 5.99/5.92 [270]P79(a1) % 5.99/5.92 [271]P79(a2) % 5.99/5.92 [272]P79(a69) % 5.99/5.92 [273]P79(a70) % 5.99/5.92 [274]P67(a1) % 5.99/5.92 [275]P67(a70) % 5.99/5.92 [276]P76(a1) % 5.99/5.92 [277]P76(a2) % 5.99/5.92 [278]P76(a70) % 5.99/5.92 [279]P68(a1) % 5.99/5.92 [280]P68(a70) % 5.99/5.92 [281]P80(a1) % 5.99/5.92 [282]P80(a2) % 5.99/5.92 [283]P80(a70) % 5.99/5.92 [284]P61(a1) % 5.99/5.92 [285]P61(a70) % 5.99/5.92 [286]P62(a1) % 5.99/5.92 [287]P62(a70) % 5.99/5.92 [288]P71(a1) % 5.99/5.92 [289]P71(a69) % 5.99/5.92 [290]P71(a70) % 5.99/5.92 [291]P72(a1) % 5.99/5.92 [292]P72(a70) % 5.99/5.92 [293]P74(a1) % 5.99/5.92 [294]P74(a69) % 5.99/5.92 [295]P74(a70) % 5.99/5.92 [296]P73(a1) % 5.99/5.92 [297]P73(a69) % 5.99/5.92 [298]P73(a70) % 5.99/5.92 [299]P60(a1) % 5.99/5.92 [300]P60(a69) % 5.99/5.92 [301]P60(a70) % 5.99/5.92 [302]P55(a1) % 5.99/5.92 [303]P55(a2) % 5.99/5.92 [304]P47(a1) % 5.99/5.92 [305]P47(a2) % 5.99/5.92 [306]P56(a1) % 5.99/5.92 [307]P56(a2) % 5.99/5.92 [308]P29(a1) % 5.99/5.92 [309]P29(a2) % 5.99/5.92 [310]P29(a69) % 5.99/5.92 [311]P29(a70) % 5.99/5.92 [312]P75(a1) % 5.99/5.92 [313]P75(a70) % 5.99/5.92 [314]P6(a1) % 5.99/5.92 [315]P16(a1) % 5.99/5.92 [316]P16(a2) % 5.99/5.92 [317]P16(a70) % 5.99/5.92 [318]P7(a1) % 5.99/5.92 [319]P7(a2) % 5.99/5.92 [320]P15(a1) % 5.99/5.92 [321]P8(a1) % 5.99/5.92 [322]P8(a2) % 5.99/5.92 [323]P57(a1) % 5.99/5.92 [324]P57(a2) % 5.99/5.92 [325]P57(a69) % 5.99/5.92 [326]P57(a70) % 5.99/5.92 [327]P17(a1) % 5.99/5.92 [328]P17(a2) % 5.99/5.92 [329]P17(a69) % 5.99/5.92 [330]P17(a70) % 5.99/5.92 [331]P58(a1) % 5.99/5.92 [332]P58(a2) % 5.99/5.92 [333]P58(a69) % 5.99/5.92 [334]P58(a70) % 5.99/5.92 [335]P39(a1) % 5.99/5.92 [336]P39(a2) % 5.99/5.92 [337]P39(a70) % 5.99/5.92 [338]P53(a1) % 5.99/5.92 [339]P53(a2) % 5.99/5.92 [340]P53(a70) % 5.99/5.92 [341]P54(a1) % 5.99/5.92 [342]P54(a2) % 5.99/5.92 [343]P54(a70) % 5.99/5.92 [344]P30(a1) % 5.99/5.92 [345]P30(a70) % 5.99/5.92 [346]P18(a1) % 5.99/5.92 [347]P18(a2) % 5.99/5.92 [348]P18(a69) % 5.99/5.92 [349]P18(a70) % 5.99/5.92 [350]P20(a1) % 5.99/5.92 [351]P20(a2) % 5.99/5.92 [352]P20(a69) % 5.99/5.92 [353]P20(a70) % 5.99/5.92 [354]P21(a1) % 5.99/5.92 [355]P21(a2) % 5.99/5.92 [356]P21(a69) % 5.99/5.92 [357]P21(a70) % 5.99/5.92 [358]P19(a1) % 5.99/5.92 [359]P19(a2) % 5.99/5.92 [360]P19(a69) % 5.99/5.92 [361]P19(a70) % 5.99/5.92 [362]P31(a1) % 5.99/5.92 [363]P31(a2) % 5.99/5.92 [364]P31(a69) % 5.99/5.92 [365]P31(a70) % 5.99/5.92 [366]P25(a1) % 5.99/5.92 [367]P25(a2) % 5.99/5.92 [368]P25(a69) % 5.99/5.92 [369]P25(a70) % 5.99/5.92 [370]P26(a1) % 5.99/5.92 [371]P26(a70) % 5.99/5.92 [372]P33(a1) % 5.99/5.92 [373]P33(a69) % 5.99/5.92 [374]P33(a70) % 5.99/5.92 [375]P34(a1) % 5.99/5.92 [376]P34(a69) % 5.99/5.92 [377]P34(a70) % 5.99/5.92 [378]P35(a1) % 5.99/5.92 [379]P35(a69) % 5.99/5.92 [380]P35(a70) % 5.99/5.92 [381]P32(a1) % 5.99/5.92 [382]P32(a70) % 5.99/5.92 [383]P36(a1) % 5.99/5.92 [384]P36(a69) % 5.99/5.92 [385]P36(a70) % 5.99/5.92 [386]P22(a1) % 5.99/5.92 [387]P22(a70) % 5.99/5.92 [388]P81(a1) % 5.99/5.92 [389]P81(a2) % 5.99/5.92 [390]P81(a69) % 5.99/5.92 [391]P81(a70) % 5.99/5.92 [392]P40(a1) % 5.99/5.92 [393]P40(a69) % 5.99/5.92 [394]P40(a70) % 5.99/5.92 [395]P40(a71) % 5.99/5.92 [396]P41(a1) % 5.99/5.92 [397]P41(a69) % 5.99/5.92 [398]P41(a70) % 5.99/5.92 [399]P41(a71) % 5.99/5.92 [400]P42(a1) % 5.99/5.92 [401]P42(a69) % 5.99/5.92 [402]P42(a70) % 5.99/5.92 [403]P45(a1) % 5.99/5.92 [404]P45(a69) % 5.99/5.92 [405]P45(a70) % 5.99/5.92 [406]P45(a71) % 5.99/5.92 [407]P43(a71) % 5.99/5.92 [408]P27(a1) % 5.99/5.92 [409]P27(a2) % 5.99/5.92 [410]P27(a69) % 5.99/5.92 [411]P27(a70) % 5.99/5.92 [412]P27(a71) % 5.99/5.92 [413]P37(a1) % 5.99/5.92 [414]P37(a2) % 5.99/5.92 [415]P37(a70) % 5.99/5.92 [416]P37(a71) % 5.99/5.92 [417]P38(a1) % 5.99/5.92 [418]P38(a70) % 5.99/5.92 [419]P59(a1) % 5.99/5.92 [420]P59(a2) % 5.99/5.92 [421]P59(a69) % 5.99/5.92 [422]P59(a70) % 5.99/5.92 [423]P23(a1) % 5.99/5.92 [424]P23(a2) % 5.99/5.92 [425]P23(a69) % 5.99/5.92 [426]P23(a70) % 5.99/5.92 [435]E(f5(a2,a73),f5(a2,a80)) % 5.99/5.92 [436]E(f5(a2,a30),f5(a2,a73)) % 5.99/5.92 [437]E(f5(a2,a32),f5(a2,a73)) % 5.99/5.92 [438]E(f26(a2,a6),f10(a2,a6)) % 5.99/5.92 [453]P10(a1,a81,f4(a1)) % 5.99/5.92 [454]P10(a1,a55,f4(a1)) % 5.99/5.92 [455]P10(a1,f3(a1),a81) % 5.99/5.92 [456]P10(a1,f3(a1),a74) % 5.99/5.92 [457]P10(a1,f3(a1),a33) % 5.99/5.92 [458]P10(a1,f3(a1),a55) % 5.99/5.92 [459]P10(a1,f3(a1),a34) % 5.99/5.92 [472]P10(a70,f3(a70),f4(a70)) % 5.99/5.92 [474]P9(a70,f3(a70),f4(a70)) % 5.99/5.92 [578]~E(f3(a2),a83) % 5.99/5.92 [579]~E(f3(a2),a76) % 5.99/5.92 [580]~E(f3(a69),a78) % 5.99/5.92 [581]~E(f3(a2),a6) % 5.99/5.92 [582]~E(f4(a2),a6) % 5.99/5.92 [583]~E(f3(a69),a46) % 5.99/5.92 [584]~E(f3(a2),a48) % 5.99/5.92 [585]~E(f4(a1),f3(a1)) % 5.99/5.92 [586]~E(f4(a70),f3(a70)) % 5.99/5.92 [595]~P11(a2,a2,f15(a2,a79)) % 5.99/5.92 [596]~P11(a2,a2,f15(a2,a73)) % 5.99/5.92 [598]~P11(a2,a2,f15(a2,a80)) % 5.99/5.92 [427]E(f14(f3(a1)),f3(a69)) % 5.99/5.92 [428]E(f14(f4(a1)),f4(a69)) % 5.99/5.92 [429]E(f25(f3(a1)),f3(a69)) % 5.99/5.92 [430]E(f25(f4(a1)),f4(a69)) % 5.99/5.92 [431]E(f10(a70,f3(a70)),f3(a70)) % 5.99/5.92 [432]E(f26(a1,f3(a1)),f3(a1)) % 5.99/5.92 [433]E(f27(a69,f3(a69)),f3(a1)) % 5.99/5.92 [434]E(f27(a69,f4(a69)),f4(a1)) % 5.99/5.92 [477]E(f54(f15(a2,a80),f3(a2)),f54(f15(a2,a73),a75)) % 5.99/5.92 [504]P10(a69,f12(a69,a78,f4(a69)),f5(a2,a73)) % 5.99/5.92 [526]P9(a1,f54(f54(f11(a1),a81),f28(a2,a83)),f54(f54(f11(a1),f4(a1)),f28(a2,a83))) % 5.99/5.92 [556]E(f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f3(a2)),f4(a2)) % 5.99/5.92 [558]E(f9(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76)),f4(a2)),f9(a2,f3(a2),f4(a2))) % 5.99/5.92 [587]~E(f54(f15(a2,a73),a75),f3(a2)) % 5.99/5.92 [588]~E(f54(f15(a2,a80),f3(a2)),f3(a2)) % 5.99/5.92 [594]~E(f12(a69,a78,f4(a69)),f5(a2,a73)) % 5.99/5.92 [469]E(f29(a2,f10(a1,f4(a1))),f10(a2,f4(a2))) % 5.99/5.92 [470]E(f54(f54(f11(a2),a6),a6),f10(a2,f4(a2))) % 5.99/5.92 [491]P10(a1,f3(a1),f54(f54(f21(a1),a81),a78)) % 5.99/5.92 [540]P9(a1,f28(a2,f54(f54(f11(a2),f29(a2,a81)),a83)),f28(a2,a83)) % 5.99/5.92 [514]E(f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76),f10(a2,f4(a2))) % 5.99/5.92 [541]E(f5(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f5(a2,a80)) % 5.99/5.92 [550]E(f5(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f12(a69,f12(a69,f5(a2,a82),a78),f4(a69))) % 5.99/5.92 [551]E(f5(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f12(a69,f12(a69,f5(a2,a45),a46),f4(a69))) % 5.99/5.92 [554]E(f5(a2,f18(a2,f4(a2),f16(a2,a76,f9(a69,a78,f4(a69))))),f12(a69,a78,f4(a69))) % 5.99/5.92 [555]P9(a1,f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))),a74) % 5.99/5.92 [604]~P11(a2,a2,f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80))) % 5.99/5.92 [605]~P11(a2,a2,f15(a2,f18(a2,f4(a2),f16(a2,a76,f9(a69,a78,f4(a69)))))) % 5.99/5.92 [543]E(f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76)),f3(a2)) % 5.99/5.92 [544]E(f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),a56),a78)),a76)),f3(a2)) % 5.99/5.92 [559]E(f54(f15(a2,f18(a2,f4(a2),f16(a2,a76,f9(a69,a78,f4(a69))))),a35),f3(a2)) % 5.99/5.92 [561]P10(a1,a81,f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))) % 5.99/5.92 [562]P10(a1,a55,f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))) % 5.99/5.92 [563]P10(a1,f3(a1),f26(a1,f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))) % 5.99/5.92 [564]P10(a1,f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74)),f4(a1)) % 5.99/5.92 [574]E(f12(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f29(a2,a81)),a78)),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))) % 5.99/5.92 [606]~E(f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),a36),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),a41)) % 5.99/5.92 [607]~P9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74)) % 5.99/5.92 [569]P10(a1,f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),a74))),f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f4(a1))) % 5.99/5.92 [577]P9(a1,f28(a2,f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f12(a1,f28(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78)))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))) % 5.99/5.92 [570]E(f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f21(a1),f28(a2,a83)),f12(a69,a78,f4(a69)))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))) % 5.99/5.92 [571]E(f54(f54(f11(a1),f54(f54(f21(a1),a81),a78)),f54(f54(f11(a1),a81),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))) % 5.99/5.92 [572]E(f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))) % 5.99/5.92 [573]E(f12(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f29(a2,a81)),a78)),f54(f54(f11(a2),f54(f54(f21(a2),a83),a78)),a76))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))) % 5.99/5.92 [575]E(f28(a2,f12(a2,f29(a2,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))),f28(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))))) % 5.99/5.92 [576]P9(a1,f28(a2,f12(a2,f4(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f12(a2,a76,f54(f54(f11(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))))),f12(a1,f8(a1,f9(a1,f4(a1),f54(f54(f21(a1),a81),a78))),f28(a2,f54(f54(f11(a2),f54(f54(f11(a2),f54(f54(f21(a2),f54(f54(f11(a2),f29(a2,a81)),a83)),a78)),f54(f54(f11(a2),f29(a2,a81)),a83))),f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))) % 5.99/5.92 [447]P9(a1,x4471,x4471) % 5.99/5.92 [448]P9(a69,x4481,x4481) % 5.99/5.92 [449]P9(a70,x4491,x4491) % 5.99/5.92 [590]~P10(a69,x5901,x5901) % 5.99/5.92 [439]E(f28(a1,x4391),f8(a1,x4391)) % 5.99/5.92 [461]E(f9(a69,x4611,x4611),f3(a69)) % 5.99/5.92 [463]P9(a69,f3(a69),x4631) % 5.99/5.92 [479]P9(a1,f3(a1),f27(a69,x4791)) % 5.99/5.92 [593]~P10(a69,x5931,f3(a69)) % 5.99/5.92 [599]~P10(a1,f27(a69,x5991),f3(a1)) % 5.99/5.92 [440]E(f14(f27(a69,x4401)),x4401) % 5.99/5.92 [441]E(f25(f27(a69,x4411)),x4411) % 5.99/5.92 [442]E(f10(a70,f10(a70,x4421)),x4421) % 5.99/5.92 [443]E(f8(a1,f27(a69,x4431)),f27(a69,x4431)) % 5.99/5.92 [444]E(f54(f54(f11(a69),x4441),f4(a69)),x4441) % 5.99/5.92 [445]E(f54(f54(f11(a70),x4451),f4(a70)),x4451) % 5.99/5.92 [446]E(f54(f54(f11(a69),x4461),f3(a69)),f3(a69)) % 5.99/5.92 [464]E(f12(a69,x4641,f3(a69)),x4641) % 5.99/5.92 [465]E(f12(a70,x4651,f3(a70)),x4651) % 5.99/5.92 [466]E(f9(a69,x4661,f3(a69)),x4661) % 5.99/5.92 [467]E(f12(a69,f3(a69),x4671),x4671) % 5.99/5.92 [468]E(f12(a70,f3(a70),x4681),x4681) % 5.99/5.92 [471]E(f9(a69,f3(a69),x4711),f3(a69)) % 5.99/5.92 [478]E(f12(a70,f10(a70,x4781),x4781),f3(a70)) % 5.99/5.92 [480]P9(a1,x4801,f27(a69,f14(x4801))) % 5.99/5.92 [494]P9(a1,f10(a1,f28(a2,x4941)),f28(a2,x4941)) % 5.99/5.92 [501]E(f54(f15(a2,a73),f12(a2,a75,x5011)),f54(f15(a2,a80),x5011)) % 5.99/5.92 [502]E(f54(f15(a2,a73),f12(a2,a75,x5021)),f54(f15(a2,a30),x5021)) % 5.99/5.92 [503]E(f54(f15(a2,a73),f12(a2,a75,x5031)),f54(f15(a2,a32),x5031)) % 5.99/5.92 [509]P10(a1,f9(a1,x5091,f4(a1)),f27(a69,f25(x5091))) % 5.99/5.92 [510]P10(a1,f3(a1),f12(a1,f4(a1),f8(a1,x5101))) % 5.99/5.92 [515]P10(a1,x5151,f12(a1,f27(a69,f25(x5151)),f4(a1))) % 5.99/5.92 [603]~P10(a1,f12(a1,f8(a1,x6031),f4(a1)),x6031) % 5.99/5.92 [450]E(f54(f54(f11(a1),f4(a1)),x4501),x4501) % 5.99/5.92 [451]E(f54(f54(f11(a69),f4(a69)),x4511),x4511) % 5.99/5.92 [452]E(f54(f54(f11(a70),f4(a70)),x4521),x4521) % 5.99/5.92 [460]E(f54(f54(f11(a69),f3(a69)),x4601),f3(a69)) % 5.99/5.92 [493]P9(a69,x4931,f54(f54(f11(a69),x4931),x4931)) % 5.99/5.92 [530]P9(a1,f28(a2,f54(f15(a2,a73),a75)),f28(a2,f54(f15(a2,a73),x5301))) % 5.99/5.92 [535]P9(a1,f28(a2,f54(f15(a2,a80),f3(a2))),f28(a2,f54(f15(a2,a73),x5351))) % 5.99/5.92 [565]E(f54(f54(f11(a2),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x5651)),f54(f15(a2,a80),f3(a2))),f54(f15(a2,a80),x5651)) % 5.99/5.92 [602]~E(f12(a70,f12(a70,f4(a70),x6021),x6021),f3(a70)) % 5.99/5.92 [492]E(f54(f54(f11(a2),a6),f54(f54(f11(a2),a6),x4921)),f10(a2,x4921)) % 5.99/5.92 [527]P9(a69,x5271,f54(f54(f11(a69),x5271),f54(f54(f11(a69),x5271),x5271))) % 5.99/5.92 [567]E(f12(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f3(a2)),f54(f54(f11(a2),f54(f54(f21(a2),x5671),a78)),f54(f15(a2,f18(a2,a76,a82)),x5671))),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x5671)) % 5.99/5.92 [568]E(f12(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),f3(a2)),f54(f54(f11(a2),f54(f54(f21(a2),x5681),a46)),f54(f15(a2,f18(a2,a48,a45)),x5681))),f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x5681)) % 5.99/5.92 [484]E(f12(a69,x4841,x4842),f12(a69,x4842,x4841)) % 5.99/5.92 [485]E(f12(a70,x4851,x4852),f12(a70,x4852,x4851)) % 5.99/5.92 [495]P9(a69,x4951,f12(a69,x4952,x4951)) % 5.99/5.92 [496]P9(a69,x4961,f12(a69,x4961,x4962)) % 5.99/5.92 [497]P9(a69,f9(a69,x4971,x4972),x4971) % 5.99/5.92 [600]~P10(a69,f12(a69,x6001,x6002),x6002) % 5.99/5.92 [601]~P10(a69,f12(a69,x6011,x6012),x6011) % 5.99/5.92 [487]E(f12(a1,x4871,f10(a1,x4872)),f9(a1,x4871,x4872)) % 5.99/5.92 [488]E(f12(a2,x4881,f10(a2,x4882)),f9(a2,x4881,x4882)) % 5.99/5.92 [490]E(f12(a70,x4901,f10(a70,x4902)),f9(a70,x4901,x4902)) % 5.99/5.92 [498]E(f9(a69,f12(a69,x4981,x4982),x4982),x4981) % 5.99/5.92 [499]E(f9(a69,f12(a69,x4991,x4992),x4991),x4992) % 5.99/5.92 [500]E(f9(a69,x5001,f12(a69,x5001,x5002)),f3(a69)) % 5.99/5.92 [511]E(f12(a70,f10(a70,x5111),f10(a70,x5112)),f10(a70,f12(a70,x5111,x5112))) % 5.99/5.92 [512]E(f12(a1,f27(a69,x5121),f27(a69,x5122)),f27(a69,f12(a69,x5121,x5122))) % 5.99/5.92 [552]P9(a1,f28(a2,x5521),f12(a1,f28(a2,f12(a2,x5521,x5522)),f28(a2,x5522))) % 5.99/5.92 [553]P9(a1,f9(a1,f28(a2,f12(a2,x5531,x5532)),f28(a2,x5531)),f28(a2,x5532)) % 5.99/5.92 [481]E(f54(f54(f11(a1),x4811),x4812),f54(f54(f11(a1),x4812),x4811)) % 5.99/5.92 [482]E(f54(f54(f11(a69),x4821),x4822),f54(f54(f11(a69),x4822),x4821)) % 5.99/5.92 [483]E(f54(f54(f11(a70),x4831),x4832),f54(f54(f11(a70),x4832),x4831)) % 5.99/5.92 [516]P9(a70,f3(a70),f54(f54(f21(a70),f8(a70,x5161)),x5162)) % 5.99/5.92 [528]E(f8(a1,f12(a1,x5281,f10(a1,x5282))),f8(a1,f12(a1,x5282,f10(a1,x5281)))) % 5.99/5.92 [506]E(f54(f54(f21(a1),f27(a69,x5061)),x5062),f27(a69,f54(f54(f21(a69),x5061),x5062))) % 5.99/5.92 [507]E(f29(a2,f54(f54(f21(a1),x5071),x5072)),f54(f54(f21(a2),f29(a2,x5071)),x5072)) % 5.99/5.92 [508]E(f54(f54(f11(a70),f10(a70,x5081)),x5082),f10(a70,f54(f54(f11(a70),x5081),x5082))) % 5.99/5.92 [513]E(f54(f54(f11(a1),f27(a69,x5131)),f27(a69,x5132)),f27(a69,f54(f54(f11(a69),x5131),x5132))) % 5.99/5.92 [529]P9(a1,f10(a1,f54(f54(f11(a1),x5291),x5291)),f54(f54(f11(a1),x5292),x5292)) % 5.99/5.92 [518]E(f12(a69,x5181,f12(a69,x5182,x5183)),f12(a69,x5182,f12(a69,x5181,x5183))) % 5.99/5.92 [519]E(f12(a70,x5191,f12(a70,x5192,x5193)),f12(a70,x5192,f12(a70,x5191,x5193))) % 5.99/5.92 [520]E(f12(a69,f12(a69,x5201,x5202),x5203),f12(a69,x5201,f12(a69,x5202,x5203))) % 5.99/5.92 [521]E(f12(a70,f12(a70,x5211,x5212),x5213),f12(a70,x5211,f12(a70,x5212,x5213))) % 5.99/5.92 [522]E(f9(a69,f9(a69,x5221,x5222),x5223),f9(a69,x5221,f12(a69,x5222,x5223))) % 5.99/5.92 [523]E(f9(a69,f9(a69,x5231,x5232),x5233),f9(a69,f9(a69,x5231,x5233),x5232)) % 5.99/5.92 [524]E(f9(a69,f12(a69,x5241,x5242),f12(a69,x5243,x5242)),f9(a69,x5241,x5243)) % 5.99/5.92 [525]E(f9(a69,f12(a69,x5251,x5252),f12(a69,x5251,x5253)),f9(a69,x5252,x5253)) % 5.99/5.92 [536]E(f12(a69,f54(f54(f11(a69),x5361),x5362),f54(f54(f11(a69),x5361),x5363)),f54(f54(f11(a69),x5361),f12(a69,x5362,x5363))) % 5.99/5.92 [537]E(f9(a69,f54(f54(f11(a69),x5371),x5372),f54(f54(f11(a69),x5371),x5373)),f54(f54(f11(a69),x5371),f9(a69,x5372,x5373))) % 5.99/5.92 [538]E(f12(a70,f54(f54(f11(a70),x5381),x5382),f54(f54(f11(a70),x5381),x5383)),f54(f54(f11(a70),x5381),f12(a70,x5382,x5383))) % 5.99/5.92 [539]E(f9(a70,f54(f54(f11(a70),x5391),x5392),f54(f54(f11(a70),x5391),x5393)),f54(f54(f11(a70),x5391),f9(a70,x5392,x5393))) % 5.99/5.92 [542]E(f54(f54(f11(a70),f54(f54(f21(a70),x5421),x5422)),f54(f54(f21(a70),x5421),x5423)),f54(f54(f21(a70),x5421),f12(a69,x5422,x5423))) % 5.99/5.92 [545]E(f12(a1,f54(f54(f11(a1),x5451),x5452),f54(f54(f11(a1),x5453),x5452)),f54(f54(f11(a1),f12(a1,x5451,x5453)),x5452)) % 5.99/5.92 [546]E(f12(a69,f54(f54(f11(a69),x5461),x5462),f54(f54(f11(a69),x5463),x5462)),f54(f54(f11(a69),f12(a69,x5461,x5463)),x5462)) % 5.99/5.92 [547]E(f9(a69,f54(f54(f11(a69),x5471),x5472),f54(f54(f11(a69),x5473),x5472)),f54(f54(f11(a69),f9(a69,x5471,x5473)),x5472)) % 5.99/5.92 [548]E(f12(a70,f54(f54(f11(a70),x5481),x5482),f54(f54(f11(a70),x5483),x5482)),f54(f54(f11(a70),f12(a70,x5481,x5483)),x5482)) % 5.99/5.92 [549]E(f9(a70,f54(f54(f11(a70),x5491),x5492),f54(f54(f11(a70),x5493),x5492)),f54(f54(f11(a70),f9(a70,x5491,x5493)),x5492)) % 5.99/5.92 [531]E(f54(f54(f21(a70),f54(f54(f21(a70),x5311),x5312)),x5313),f54(f54(f21(a70),x5311),f54(f54(f11(a69),x5312),x5313))) % 5.99/5.92 [532]E(f54(f54(f11(a1),f54(f54(f11(a1),x5321),x5322)),x5323),f54(f54(f11(a1),x5321),f54(f54(f11(a1),x5322),x5323))) % 5.99/5.92 [533]E(f54(f54(f11(a69),f54(f54(f11(a69),x5331),x5332)),x5333),f54(f54(f11(a69),x5331),f54(f54(f11(a69),x5332),x5333))) % 5.99/5.92 [534]E(f54(f54(f11(a70),f54(f54(f11(a70),x5341),x5342)),x5343),f54(f54(f11(a70),x5341),f54(f54(f11(a70),x5342),x5343))) % 5.99/5.92 [517]E(f54(f54(f22(x5171,x5172,x5173),x5174),f3(a69)),x5172) % 5.99/5.92 [560]P9(a1,f8(a1,f12(a1,f12(a1,x5601,x5602),f12(a1,f10(a1,x5603),f10(a1,x5604)))),f12(a1,f8(a1,f12(a1,x5601,f10(a1,x5603))),f8(a1,f12(a1,x5602,f10(a1,x5604))))) % 5.99/5.92 [557]E(f12(a69,f54(f54(f11(a69),x5571),x5572),f12(a69,f54(f54(f11(a69),x5573),x5572),x5574)),f12(a69,f54(f54(f11(a69),f12(a69,x5571,x5573)),x5572),x5574)) % 5.99/5.92 [608]~P50(x6081)+P49(f72(x6081)) % 5.99/5.92 [609]~P58(x6091)+P4(f72(x6091)) % 5.99/5.92 [610]~P58(x6101)+P28(f72(x6101)) % 5.99/5.92 [611]~P51(x6111)+P63(f72(x6111)) % 5.99/5.92 [612]~P57(x6121)+P64(f72(x6121)) % 5.99/5.92 [613]~P51(x6131)+P69(f72(x6131)) % 5.99/5.92 [614]~P58(x6141)+P77(f72(x6141)) % 5.99/5.92 [615]~P58(x6151)+P5(f72(x6151)) % 5.99/5.92 [616]~P57(x6161)+P78(f72(x6161)) % 5.99/5.92 [617]~P50(x6171)+P50(f72(x6171)) % 5.99/5.92 [618]~P50(x6181)+P65(f72(x6181)) % 5.99/5.92 [619]~P50(x6191)+P66(f72(x6191)) % 5.99/5.92 [620]~P16(x6201)+P24(f72(x6201)) % 5.99/5.92 [621]~P53(x6211)+P70(f72(x6211)) % 5.99/5.92 [622]~P51(x6221)+P51(f72(x6221)) % 5.99/5.92 [623]~P57(x6231)+P52(f72(x6231)) % 5.99/5.92 [624]~P57(x6241)+P79(f72(x6241)) % 5.99/5.92 [625]~P50(x6251)+P67(f72(x6251)) % 5.99/5.92 [626]~P54(x6261)+P76(f72(x6261)) % 5.99/5.92 [627]~P50(x6271)+P68(f72(x6271)) % 5.99/5.92 [628]~P51(x6281)+P80(f72(x6281)) % 5.99/5.92 [629]~P50(x6291)+P61(f72(x6291)) % 5.99/5.92 [630]~P50(x6301)+P62(f72(x6301)) % 5.99/5.92 [631]~P50(x6311)+P71(f72(x6311)) % 5.99/5.92 [632]~P50(x6321)+P72(f72(x6321)) % 5.99/5.92 [633]~P50(x6331)+P74(f72(x6331)) % 5.99/5.92 [634]~P50(x6341)+P73(f72(x6341)) % 5.99/5.92 [635]~P50(x6351)+P60(f72(x6351)) % 5.99/5.92 [636]~P29(x6361)+P29(f72(x6361)) % 5.99/5.92 [637]~P50(x6371)+P75(f72(x6371)) % 5.99/5.92 [638]~P16(x6381)+P16(f72(x6381)) % 5.99/5.92 [639]~P57(x6391)+P57(f72(x6391)) % 5.99/5.92 [640]~P17(x6401)+P17(f72(x6401)) % 5.99/5.92 [641]~P58(x6411)+P58(f72(x6411)) % 5.99/5.92 [642]~P50(x6421)+P39(f72(x6421)) % 5.99/5.92 [643]~P53(x6431)+P53(f72(x6431)) % 5.99/5.92 [644]~P54(x6441)+P54(f72(x6441)) % 5.99/5.92 [645]~P50(x6451)+P30(f72(x6451)) % 5.99/5.92 [646]~P57(x6461)+P18(f72(x6461)) % 5.99/5.92 [647]~P23(x6471)+P20(f72(x6471)) % 5.99/5.92 [648]~P23(x6481)+P21(f72(x6481)) % 5.99/5.92 [649]~P17(x6491)+P19(f72(x6491)) % 5.99/5.92 [650]~P58(x6501)+P31(f72(x6501)) % 5.99/5.92 [651]~P17(x6511)+P25(f72(x6511)) % 5.99/5.92 [652]~P50(x6521)+P26(f72(x6521)) % 5.99/5.92 [653]~P50(x6531)+P33(f72(x6531)) % 5.99/5.92 [654]~P50(x6541)+P34(f72(x6541)) % 5.99/5.92 [655]~P50(x6551)+P35(f72(x6551)) % 5.99/5.92 [656]~P50(x6561)+P32(f72(x6561)) % 5.99/5.92 [657]~P50(x6571)+P36(f72(x6571)) % 5.99/5.92 [658]~P50(x6581)+P22(f72(x6581)) % 5.99/5.92 [659]~P51(x6591)+P81(f72(x6591)) % 5.99/5.92 [660]~P50(x6601)+P40(f72(x6601)) % 5.99/5.92 [661]~P50(x6611)+P41(f72(x6611)) % 5.99/5.92 [662]~P50(x6621)+P42(f72(x6621)) % 5.99/5.92 [663]~P50(x6631)+P45(f72(x6631)) % 5.99/5.92 [664]~P16(x6641)+P27(f72(x6641)) % 5.99/5.92 [665]~P16(x6651)+P37(f72(x6651)) % 5.99/5.92 [666]~P50(x6661)+P38(f72(x6661)) % 5.99/5.92 [667]~P58(x6671)+P59(f72(x6671)) % 5.99/5.92 [668]~P23(x6681)+P23(f72(x6681)) % 5.99/5.92 [670]~P77(x6701)+~E(f4(x6701),f3(x6701)) % 5.99/5.92 [671]~E(x6711,f3(a69))+E(f27(a69,x6711),f3(a1)) % 5.99/5.92 [672]E(x6721,f3(a69))+~E(f27(a69,x6721),f3(a1)) % 5.99/5.92 [750]E(x7501,f3(a69))+P10(a69,f3(a69),x7501) % 5.99/5.92 [791]~P3(x7911)+P10(a1,f3(a1),f49(x7911)) % 5.99/5.92 [798]E(f8(a1,x7981),x7981)+P10(a1,x7981,f3(a1)) % 5.99/5.92 [799]E(f8(a70,x7991),x7991)+P10(a70,x7991,f3(a70)) % 5.99/5.92 [808]~P49(x8081)+P10(x8081,f3(x8081),f4(x8081)) % 5.99/5.92 [809]~P49(x8091)+P9(x8091,f3(x8091),f4(x8091)) % 5.99/5.92 [836]~E(x8361,f3(a70))+P10(a70,f8(a70,x8361),f4(a70)) % 5.99/5.92 [837]~E(x8371,f3(a69))+P9(a1,f27(a69,x8371),f3(a1)) % 5.99/5.92 [880]E(x8801,f3(a69))+~P9(a69,x8801,f3(a69)) % 5.99/5.92 [889]E(f14(x8891),f3(a69))+~P9(a1,x8891,f3(a1)) % 5.99/5.92 [890]E(f25(x8901),f3(a69))+~P9(a1,x8901,f3(a1)) % 5.99/5.92 [937]~P49(x9371)+~P10(x9371,f4(x9371),f3(x9371)) % 5.99/5.92 [938]~P49(x9381)+~P9(x9381,f4(x9381),f3(x9381)) % 5.99/5.92 [940]E(f10(a1,x9401),f8(a1,x9401))+~P10(a1,x9401,f3(a1)) % 5.99/5.92 [941]E(f10(a70,x9411),f8(a70,x9411))+~P10(a70,x9411,f3(a70)) % 5.99/5.92 [983]E(x9831,f3(a69))+~P9(a1,f27(a69,x9831),f3(a1)) % 5.99/5.92 [984]E(x9841,f3(a70))+~P10(a70,f8(a70,x9841),f4(a70)) % 5.99/5.92 [1022]~P9(a70,f4(a70),x10221)+P10(a70,f3(a70),x10221) % 5.99/5.92 [1023]~P10(a70,f3(a70),x10231)+P9(a70,f4(a70),x10231) % 5.99/5.92 [1025]P10(a1,f61(x10251),x10251)+~P10(a1,f3(a1),x10251) % 5.99/5.92 [1052]~P9(a1,x10521,f4(a1))+P9(a69,f14(x10521),f4(a69)) % 5.99/5.92 [1053]~P10(a1,f3(a1),x10531)+P10(a1,f61(x10531),f4(a1)) % 5.99/5.92 [1054]~P10(a1,f3(a1),x10541)+P10(a1,f3(a1),f61(x10541)) % 5.99/5.92 [1055]~P9(a1,f4(a1),x10551)+P9(a69,f4(a69),f25(x10551)) % 5.99/5.92 [1060]~P9(a69,f14(x10601),f4(a69))+P9(a1,x10601,f4(a1)) % 5.99/5.92 [1061]~P9(a69,f4(a69),f25(x10611))+P9(a1,f4(a1),x10611) % 5.99/5.92 [1066]~P10(a69,f3(a69),x10661)+P10(a1,f3(a1),f27(a69,x10661)) % 5.99/5.92 [1110]P10(a69,f3(a69),x11101)+~P10(a1,f3(a1),f27(a69,x11101)) % 5.99/5.92 [673]~P46(x6731)+E(f29(x6731,f3(a1)),f3(x6731)) % 5.99/5.92 [674]~P46(x6741)+E(f29(x6741,f4(a1)),f4(x6741)) % 5.99/5.92 [675]~P1(x6751)+E(f28(x6751,f3(x6751)),f3(a1)) % 5.99/5.92 [676]~P2(x6761)+E(f28(x6761,f4(x6761)),f4(a1)) % 5.99/5.92 [680]~P24(x6801)+E(f10(x6801,f3(x6801)),f3(x6801)) % 5.99/5.92 [681]~P55(x6811)+E(f26(x6811,f3(x6811)),f3(x6811)) % 5.99/5.92 [682]~P7(x6821)+E(f26(x6821,f3(x6821)),f3(x6821)) % 5.99/5.92 [683]~P56(x6831)+E(f26(x6831,f4(x6831)),f4(x6831)) % 5.99/5.92 [684]~P30(x6841)+E(f8(x6841,f3(x6841)),f3(x6841)) % 5.99/5.92 [685]~P50(x6851)+E(f8(x6851,f4(x6851)),f4(x6851)) % 5.99/5.92 [686]~P1(x6861)+E(f13(x6861,f3(x6861)),f3(x6861)) % 5.99/5.92 [687]~P38(x6871)+E(f13(x6871,f3(x6871)),f3(x6871)) % 5.99/5.92 [688]~P2(x6881)+E(f13(x6881,f4(x6881)),f4(x6881)) % 5.99/5.92 [746]~P50(x7461)+~P12(x7461,f3(f72(x7461))) % 5.99/5.92 [820]~P28(x8201)+E(f22(x8201,f4(x8201),f11(x8201)),f21(x8201)) % 5.99/5.92 [1084]~P9(a1,f3(a1),x10841)+P10(a1,x10841,f27(a69,f59(x10841))) % 5.99/5.92 [1085]~P9(a1,f3(a1),x10851)+P9(a1,f27(a69,f25(x10851)),x10851) % 5.99/5.92 [1162]~P49(x11621)+P10(x11621,f3(x11621),f12(x11621,f4(x11621),f4(x11621))) % 5.99/5.92 [1291]~P9(a70,f3(a70),x12911)+P10(a70,f3(a70),f12(a70,f4(a70),x12911)) % 5.99/5.92 [740]~P16(x7401)+E(f10(f72(x7401),f3(f72(x7401))),f3(f72(x7401))) % 5.99/5.92 [891]~P58(x8911)+E(f18(x8911,f4(x8911),f3(f72(x8911))),f4(f72(x8911))) % 5.99/5.92 [892]~P29(x8921)+E(f18(x8921,f3(x8921),f3(f72(x8921))),f3(f72(x8921))) % 5.99/5.92 [907]E(x9071,f3(a1))+E(f54(f54(f11(a1),f26(a1,x9071)),x9071),f4(a1)) % 5.99/5.92 [1035]E(x10351,f3(a1))+P10(a1,f3(a1),f54(f54(f11(a1),x10351),x10351)) % 5.99/5.92 [1246]~E(x12461,f3(a1))+~P10(a1,f3(a1),f54(f54(f11(a1),x12461),x12461)) % 5.99/5.92 [1300]~P9(a1,f3(a1),x13001)+E(f14(f12(a1,x13001,f4(a1))),f12(a69,f14(x13001),f4(a69))) % 5.99/5.92 [1301]~P9(a1,f3(a1),x13011)+E(f25(f12(a1,x13011,f4(a1))),f12(a69,f25(x13011),f4(a69))) % 5.99/5.92 [1435]~P9(a1,f28(a2,x14351),f28(a2,a83))+P9(a1,f28(a2,f54(f15(a2,a82),x14351)),a74) % 5.99/5.92 [1436]~P9(a1,f28(a2,x14361),f28(a2,a83))+P9(a1,f28(a2,f54(f15(a2,a82),x14361)),a33) % 5.99/5.92 [1437]~P9(a1,f28(a2,x14371),f28(a2,a83))+P9(a1,f28(a2,f54(f15(a2,a82),x14371)),a34) % 5.99/5.92 [1516]~P9(a1,f3(a1),x15161)+P9(a1,f27(a69,f9(a69,f59(x15161),f4(a69))),x15161) % 5.99/5.92 [1600]~P10(a70,x16001,f3(a70))+P10(a70,f12(a70,f12(a70,f4(a70),x16001),x16001),f3(a70)) % 5.99/5.92 [1713]P10(a70,x17131,f3(a70))+~P10(a70,f12(a70,f12(a70,f4(a70),x17131),x17131),f3(a70)) % 5.99/5.92 [1803]~P10(a1,f28(a2,f54(f15(a2,a80),x18031)),f28(a2,f54(f15(a2,a80),f3(a2))))+P10(a1,f28(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x18031)),f4(a1)) % 5.99/5.92 [1806]P10(a1,f28(a2,f54(f15(a2,a80),x18061)),f28(a2,f54(f15(a2,a80),f3(a2))))+~P10(a1,f28(a2,f54(f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)),x18061)),f4(a1)) % 5.99/5.92 [741]~E(x7411,x7412)+P9(a1,x7411,x7412) % 5.99/5.92 [744]~E(x7441,x7442)+P9(a69,x7441,x7442) % 5.99/5.92 [760]~P40(x7601)+P9(x7601,x7602,x7602) % 5.99/5.92 [761]~P58(x7611)+P13(x7611,x7612,x7612) % 5.99/5.92 [846]~E(x8461,x8462)+~P10(a1,x8461,x8462) % 5.99/5.92 [851]~E(x8511,x8512)+~P10(a69,x8511,x8512) % 5.99/5.92 [852]~E(x8521,x8522)+~P10(a70,x8521,x8522) % 5.99/5.92 [884]~P10(x8841,x8842,x8842)+~P40(x8841) % 5.99/5.92 [925]P9(a1,x9252,x9251)+P9(a1,x9251,x9252) % 5.99/5.92 [926]P9(a69,x9262,x9261)+P9(a69,x9261,x9262) % 5.99/5.92 [927]P9(a70,x9272,x9271)+P9(a70,x9271,x9272) % 5.99/5.92 [992]~P10(a1,x9921,x9922)+P9(a1,x9921,x9922) % 5.99/5.92 [997]~P10(a69,x9971,x9972)+P9(a69,x9971,x9972) % 5.99/5.92 [998]~P10(a70,x9981,x9982)+P9(a70,x9981,x9982) % 5.99/5.92 [701]~P40(x7012)+P40(f77(x7011,x7012)) % 5.99/5.92 [702]~P41(x7022)+P41(f77(x7021,x7022)) % 5.99/5.92 [703]~P45(x7032)+P45(f77(x7031,x7032)) % 5.99/5.92 [704]~P43(x7042)+P43(f77(x7041,x7042)) % 5.99/5.92 [705]~P27(x7052)+P27(f77(x7051,x7052)) % 5.99/5.92 [706]~P37(x7062)+P37(f77(x7061,x7062)) % 5.99/5.92 [718]E(x7181,x7182)+~E(f27(a69,x7181),f27(a69,x7182)) % 5.99/5.92 [770]~P24(x7701)+E(f9(x7701,x7702,x7702),f3(x7701)) % 5.99/5.92 [777]~P58(x7771)+P13(x7771,x7772,f3(x7771)) % 5.99/5.92 [778]~P58(x7781)+P13(x7781,f4(x7781),x7782) % 5.99/5.92 [796]P9(a70,x7962,x7961)+E(f17(x7961,x7962),f3(a70)) % 5.99/5.92 [819]~E(x8192,f10(a1,x8191))+E(f12(a1,x8191,x8192),f3(a1)) % 5.99/5.92 [853]~P30(x8531)+P9(x8531,x8532,f8(x8531,x8532)) % 5.99/5.92 [857]~E(f12(a69,x8572,x8571),x8572)+E(x8571,f3(a69)) % 5.99/5.92 [859]~P3(x8592)+P10(a1,f3(a1),f52(x8591,x8592)) % 5.99/5.92 [860]~P3(x8602)+P10(a1,f3(a1),f53(x8601,x8602)) % 5.99/5.92 [861]~P1(x8611)+P9(a1,f3(a1),f28(x8611,x8612)) % 5.99/5.92 [864]~P10(a69,x8642,x8641)+~E(x8641,f3(a69)) % 5.99/5.92 [873]E(x8731,f3(a69))+~E(f12(a69,x8732,x8731),f3(a69)) % 5.99/5.92 [874]E(x8741,f3(a69))+~E(f12(a69,x8741,x8742),f3(a69)) % 5.99/5.92 [885]~P30(x8851)+P9(x8851,f3(x8851),f8(x8851,x8852)) % 5.99/5.92 [913]E(x9131,f10(a1,x9132))+~E(f12(a1,x9132,x9131),f3(a1)) % 5.99/5.92 [942]~P30(x9421)+P9(x9421,f10(x9421,x9422),f8(x9421,x9422)) % 5.99/5.92 [990]~P1(x9901)+~P10(a1,f28(x9901,x9902),f3(a1)) % 5.99/5.92 [1007]~P9(a69,x10071,x10072)+E(f9(a69,x10071,x10072),f3(a69)) % 5.99/5.92 [1014]P9(a69,x10141,x10142)+~E(f9(a69,x10141,x10142),f3(a69)) % 5.99/5.92 [1020]~P30(x10201)+~P10(x10201,f8(x10201,x10202),f3(x10201)) % 5.99/5.92 [1031]~P9(a1,x10311,x10312)+P9(a69,f14(x10311),f14(x10312)) % 5.99/5.92 [1032]~P9(a1,x10321,x10322)+P9(a69,f25(x10321),f25(x10322)) % 5.99/5.92 [1046]~P9(a70,x10462,x10461)+E(f9(a70,x10461,x10462),f17(x10461,x10462)) % 5.99/5.92 [1078]P9(a1,x10781,x10782)+~P9(a1,f8(a1,x10781),x10782) % 5.99/5.92 [1088]P9(a69,x10881,f25(x10882))+~P9(a1,f27(a69,x10881),x10882) % 5.99/5.92 [1089]P9(a69,f14(x10891),x10892)+~P9(a1,x10891,f27(a69,x10892)) % 5.99/5.92 [1116]~P10(a69,x11161,x11162)+P10(a1,f27(a69,x11161),f27(a69,x11162)) % 5.99/5.92 [1117]~P9(a69,x11171,x11172)+P9(a1,f27(a69,x11171),f27(a69,x11172)) % 5.99/5.92 [1161]~P9(a1,f8(a1,x11612),x11611)+P9(a1,f10(a1,x11611),x11612) % 5.99/5.92 [1186]P10(a69,x11861,x11862)+~P10(a1,f27(a69,x11861),f27(a69,x11862)) % 5.99/5.92 [1187]P9(a69,x11871,x11872)+~P9(a1,f27(a69,x11871),f27(a69,x11872)) % 5.99/5.92 [1270]~P10(a69,x12702,x12701)+P10(a69,f3(a69),f9(a69,x12701,x12702)) % 5.99/5.92 [1271]~P10(a70,x12711,x12712)+P10(a70,f9(a70,x12711,x12712),f3(a70)) % 5.99/5.92 [1272]~P9(a1,x12721,x12722)+P9(a1,f9(a1,x12721,x12722),f3(a1)) % 5.99/5.92 [1323]~P10(a1,f10(a1,x13231),x13232)+P10(a1,f3(a1),f12(a1,x13231,x13232)) % 5.99/5.92 [1324]~P9(a1,f10(a1,x13241),x13242)+P9(a1,f3(a1),f12(a1,x13241,x13242)) % 5.99/5.92 [1325]~P10(a1,x13252,f10(a1,x13251))+P10(a1,f12(a1,x13251,x13252),f3(a1)) % 5.99/5.92 [1326]~P9(a1,x13262,f10(a1,x13261))+P9(a1,f12(a1,x13261,x13262),f3(a1)) % 5.99/5.92 [1359]P10(a69,x13591,x13592)+~P10(a69,f3(a69),f9(a69,x13592,x13591)) % 5.99/5.92 [1360]P10(a70,x13601,x13602)+~P10(a70,f9(a70,x13601,x13602),f3(a70)) % 5.99/5.92 [1361]P9(a1,x13611,x13612)+~P9(a1,f9(a1,x13611,x13612),f3(a1)) % 5.99/5.92 [1390]P10(a1,x13901,f10(a1,x13902))+~P10(a1,f12(a1,x13902,x13901),f3(a1)) % 5.99/5.92 [1391]P9(a1,x13911,f10(a1,x13912))+~P9(a1,f12(a1,x13912,x13911),f3(a1)) % 5.99/5.92 [1392]P10(a1,f10(a1,x13921),x13922)+~P10(a1,f3(a1),f12(a1,x13921,x13922)) % 5.99/5.92 [1393]P9(a1,f10(a1,x13931),x13932)+~P9(a1,f3(a1),f12(a1,x13931,x13932)) % 5.99/5.92 [725]~P24(x7251)+E(f10(x7251,f10(x7251,x7252)),x7252) % 5.99/5.92 [726]~P43(x7261)+E(f10(x7261,f10(x7261,x7262)),x7262) % 5.99/5.92 [727]~P55(x7271)+E(f26(x7271,f26(x7271,x7272)),x7272) % 5.99/5.92 [747]~P2(x7471)+E(f28(x7471,f29(x7471,x7472)),f8(a1,x7472)) % 5.99/5.92 [748]~P1(x7481)+E(f8(a1,f28(x7481,x7482)),f28(x7481,x7482)) % 5.99/5.92 [756]~P1(x7561)+E(f28(x7561,f10(x7561,x7562)),f28(x7561,x7562)) % 5.99/5.92 [757]~P30(x7571)+E(f8(x7571,f10(x7571,x7572)),f8(x7571,x7572)) % 5.99/5.92 [758]~P30(x7581)+E(f8(x7581,f8(x7581,x7582)),f8(x7581,x7582)) % 5.99/5.92 [759]~P50(x7591)+E(f13(x7591,f13(x7591,x7592)),f13(x7591,x7592)) % 5.99/5.92 [763]~P4(x7631)+E(f54(f54(f21(x7631),x7632),f4(a69)),x7632) % 5.99/5.92 [764]~P58(x7641)+E(f54(f54(f21(x7641),x7642),f4(a69)),x7642) % 5.99/5.92 [771]~P4(x7711)+E(f54(f54(f11(x7711),x7712),f4(x7711)),x7712) % 5.99/5.92 [772]~P5(x7721)+E(f54(f54(f11(x7721),x7722),f4(x7721)),x7722) % 5.99/5.92 [773]~P58(x7731)+E(f54(f54(f11(x7731),x7732),f4(x7731)),x7732) % 5.99/5.92 [774]~P28(x7741)+E(f54(f54(f21(x7741),x7742),f3(a69)),f4(x7741)) % 5.99/5.92 [775]~P58(x7751)+E(f54(f54(f21(x7751),x7752),f3(a69)),f4(x7751)) % 5.99/5.92 [779]~P17(x7791)+E(f12(x7791,x7792,f3(x7791)),x7792) % 5.99/5.92 [780]~P58(x7801)+E(f12(x7801,x7802,f3(x7801)),x7802) % 5.99/5.92 [781]~P25(x7811)+E(f12(x7811,x7812,f3(x7811)),x7812) % 5.99/5.92 [782]~P24(x7821)+E(f9(x7821,x7822,f3(x7821)),x7822) % 5.99/5.92 [783]~P17(x7831)+E(f12(x7831,f3(x7831),x7832),x7832) % 5.99/5.92 [784]~P58(x7841)+E(f12(x7841,f3(x7841),x7842),x7842) % 5.99/5.92 [785]~P25(x7851)+E(f12(x7851,f3(x7851),x7852),x7852) % 5.99/5.92 [786]~P58(x7861)+E(f23(x7861,f4(x7861),x7862),x7862) % 5.99/5.92 [793]~P3(x7931)+E(f54(f54(f11(x7931),x7932),f3(x7931)),f3(x7931)) % 5.99/5.92 [794]~P64(x7941)+E(f54(f54(f11(x7941),x7942),f3(x7941)),f3(x7941)) % 5.99/5.92 [795]~P58(x7951)+E(f54(f54(f11(x7951),x7952),f3(x7951)),f3(x7951)) % 5.99/5.92 [821]~P57(x8211)+E(f23(x8211,f3(x8211),x8212),f3(f72(x8211))) % 5.99/5.92 [822]~P29(x8221)+E(f16(x8221,f3(x8221),x8222),f3(f72(x8221))) % 5.99/5.92 [829]~P24(x8291)+E(f9(x8291,f3(x8291),x8292),f10(x8291,x8292)) % 5.99/5.92 [831]~E(x8311,x8312)+E(f12(a1,x8311,f10(a1,x8312)),f3(a1)) % 5.99/5.92 [833]~P2(x8331)+E(f13(x8331,f29(x8331,x8332)),f29(x8331,f13(a1,x8332))) % 5.99/5.92 [834]~P46(x8341)+E(f29(x8341,f10(a1,x8342)),f10(x8341,f29(x8341,x8342))) % 5.99/5.92 [843]~P55(x8431)+E(f26(x8431,f10(x8431,x8432)),f10(x8431,f26(x8431,x8432))) % 5.99/5.92 [844]~P6(x8441)+E(f26(x8441,f8(x8441,x8442)),f8(x8441,f26(x8441,x8442))) % 5.99/5.92 [845]~P1(x8451)+E(f13(x8451,f10(x8451,x8452)),f10(x8451,f13(x8451,x8452))) % 5.99/5.92 [877]~P24(x8771)+E(f12(x8771,x8772,f10(x8771,x8772)),f3(x8771)) % 5.99/5.92 [878]~P24(x8781)+E(f12(x8781,f10(x8781,x8782),x8782),f3(x8781)) % 5.99/5.92 [879]~P16(x8791)+E(f12(x8791,f10(x8791,x8792),x8792),f3(x8791)) % 5.99/5.92 [910]~P50(x9101)+E(f54(f54(f11(x9101),x9102),f13(x9101,x9102)),f8(x9101,x9102)) % 5.99/5.92 [978]E(x9781,x9782)+~E(f12(a1,x9781,f10(a1,x9782)),f3(a1)) % 5.99/5.92 [982]E(x9821,x9822)+~E(f54(x9821,f43(x9822,x9821)),f54(x9822,f43(x9822,x9821))) % 5.99/5.92 [1002]~P50(x10021)+E(f54(f54(f11(x10021),f13(x10021,x10022)),f8(x10021,x10022)),x10022) % 5.99/5.92 [1024]~P30(x10241)+P9(x10241,f10(x10241,f8(x10241,x10242)),f3(x10241)) % 5.99/5.92 [1063]~P9(a69,x10631,x10632)+E(f12(a69,x10631,f67(x10632,x10631)),x10632) % 5.99/5.92 [1064]~P9(a69,x10641,x10642)+E(f12(a69,x10641,f68(x10642,x10641)),x10642) % 5.99/5.92 [1065]~E(x10651,x10652)+P10(a70,x10651,f12(a70,x10652,f4(a70))) % 5.99/5.92 [1109]~P49(x11091)+P10(x11091,x11092,f12(x11091,x11092,f4(x11091))) % 5.99/5.92 [1190]P10(a69,x11902,x11901)+E(f12(a69,x11901,f9(a69,x11902,x11901)),x11902) % 5.99/5.92 [1265]~P9(a69,x12651,x12652)+E(f12(a69,x12651,f9(a69,x12652,x12651)),x12652) % 5.99/5.92 [1266]~P9(a69,x12662,x12661)+E(f9(a69,x12661,f9(a69,x12661,x12662)),x12662) % 5.99/5.92 [1267]~P9(a69,x12672,x12671)+E(f12(a69,f9(a69,x12671,x12672),x12672),x12671) % 5.99/5.92 [1273]~P10(a70,x12731,x12732)+P10(a70,x12731,f12(a70,x12732,f4(a70))) % 5.99/5.92 [1274]~P9(a70,x12741,x12742)+P10(a70,x12741,f12(a70,x12742,f4(a70))) % 5.99/5.92 [1275]~P10(a70,x12751,x12752)+P9(a70,x12751,f9(a70,x12752,f4(a70))) % 5.99/5.92 [1277]~P10(a70,x12771,x12772)+P9(a70,f12(a70,x12771,f4(a70)),x12772) % 5.99/5.92 [1347]~P9(a69,x13472,x13471)+E(f9(a1,f27(a69,x13471),f27(a69,x13472)),f27(a69,f9(a69,x13471,x13472))) % 5.99/5.92 [1363]P10(a70,x13631,x13632)+~P9(a70,x13631,f9(a70,x13632,f4(a70))) % 5.99/5.92 [1364]P9(a70,x13641,x13642)+~P10(a70,x13641,f12(a70,x13642,f4(a70))) % 5.99/5.92 [1365]P10(a70,x13651,x13652)+~P9(a70,f12(a70,x13651,f4(a70)),x13652) % 5.99/5.92 [1367]~P9(a69,x13671,x13672)+P10(a1,f27(a69,x13671),f12(a1,f27(a69,x13672),f4(a1))) % 5.99/5.92 [1368]~P10(a69,x13681,x13682)+P9(a1,f12(a1,f27(a69,x13681),f4(a1)),f27(a69,x13682)) % 5.99/5.92 [1431]P10(a1,x14311,f27(a69,x14312))+~P9(a69,f12(a69,f25(x14311),f4(a69)),x14312) % 5.99/5.92 [1519]P9(a69,x15191,x15192)+~P10(a1,f27(a69,x15191),f12(a1,f27(a69,x15192),f4(a1))) % 5.99/5.92 [1520]P10(a69,x15201,x15202)+~P9(a1,f12(a1,f27(a69,x15201),f4(a1)),f27(a69,x15202)) % 5.99/5.92 [734]~E(x7342,f3(a69))+E(f54(f54(f21(a69),x7341),x7342),f4(a69)) % 5.99/5.92 [735]~E(x7352,f3(a69))+E(f54(f54(f11(a69),x7351),x7352),f3(a69)) % 5.99/5.92 [737]~E(x7371,f3(a69))+E(f54(f54(f11(a69),x7371),x7372),f3(a69)) % 5.99/5.92 [752]~P44(x7521)+E(f54(f54(f11(x7521),x7522),x7522),x7522) % 5.99/5.92 [805]~P4(x8051)+E(f54(f54(f11(x8051),f4(x8051)),x8052),x8052) % 5.99/5.92 [806]~P5(x8061)+E(f54(f54(f11(x8061),f4(x8061)),x8062),x8062) % 5.99/5.92 [807]~P58(x8071)+E(f54(f54(f11(x8071),f4(x8071)),x8072),x8072) % 5.99/5.92 [812]~P4(x8121)+E(f54(f54(f21(x8121),f4(x8121)),x8122),f4(x8121)) % 5.99/5.92 [814]~P3(x8141)+E(f54(f54(f11(x8141),f3(x8141)),x8142),f3(x8141)) % 5.99/5.92 [815]~P64(x8151)+E(f54(f54(f11(x8151),f3(x8151)),x8152),f3(x8151)) % 5.99/5.92 [816]~P58(x8161)+E(f54(f54(f11(x8161),f3(x8161)),x8162),f3(x8161)) % 5.99/5.92 [827]E(x8271,f4(a69))+~E(f54(f54(f11(a69),x8272),x8271),f4(a69)) % 5.99/5.92 [828]E(x8281,f4(a69))+~E(f54(f54(f11(a69),x8281),x8282),f4(a69)) % 5.99/5.92 [840]~P17(x8401)+E(f12(f72(x8401),x8402,f3(f72(x8401))),x8402) % 5.99/5.92 [841]~P16(x8411)+E(f9(f72(x8411),x8412,f3(f72(x8411))),x8412) % 5.99/5.92 [842]~P17(x8421)+E(f12(f72(x8421),f3(f72(x8421)),x8422),x8422) % 5.99/5.92 [868]~P57(x8681)+E(f23(x8681,x8682,f3(f72(x8681))),f3(f72(x8681))) % 5.99/5.92 [869]~P57(x8691)+E(f24(x8691,f3(f72(x8691)),x8692),f3(f72(x8691))) % 5.99/5.92 [870]~P57(x8701)+E(f20(x8701,f3(f72(x8701)),x8702),f3(f72(x8701))) % 5.99/5.92 [871]~P57(x8711)+E(f7(x8711,f3(f72(x8711)),x8712),f3(f72(x8711))) % 5.99/5.92 [920]~P16(x9201)+E(f9(f72(x9201),f3(f72(x9201)),x9202),f10(f72(x9201),x9202)) % 5.99/5.92 [936]~P57(x9361)+E(f54(f54(f11(f72(x9361)),x9362),f3(f72(x9361))),f3(f72(x9361))) % 5.99/5.92 [1001]~P29(x10011)+E(f18(x10011,x10012,f3(f72(x10011))),f16(x10011,x10012,f3(a69))) % 5.99/5.92 [1059]~E(x10592,f3(a69))+P10(a69,f3(a69),f54(f54(f21(a69),x10591),x10592)) % 5.99/5.92 [1076]~P61(x10761)+P9(x10761,f3(x10761),f54(f54(f11(x10761),x10762),x10762)) % 5.99/5.92 [1137]~P50(x11371)+E(f54(f54(f11(x11371),f8(x11371,x11372)),f8(x11371,x11372)),f54(f54(f11(x11371),x11372),x11372)) % 5.99/5.92 [1243]~P10(a69,f3(a69),x12431)+P10(a69,f3(a69),f54(f54(f21(a69),x12431),x12432)) % 5.99/5.92 [1244]~P9(a70,f3(a70),x12441)+P9(a70,f3(a70),f54(f54(f21(a70),x12441),x12442)) % 5.99/5.92 [1264]E(x12641,f3(a70))+P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,x12641)),x12642)) % 5.99/5.92 [1269]~E(x12692,f3(a69))+P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,x12691)),x12692)) % 5.99/5.92 [1298]~P61(x12981)+~P10(x12981,f54(f54(f11(x12981),x12982),x12982),f3(x12981)) % 5.99/5.92 [1333]P10(a69,f3(a69),x13331)+~P10(a69,f3(a69),f54(f54(f11(a69),x13332),x13331)) % 5.99/5.92 [1334]P10(a69,f3(a69),x13341)+~P10(a69,f3(a69),f54(f54(f11(a69),x13341),x13342)) % 5.99/5.92 [1356]~P9(a1,f3(a1),x13561)+E(f14(f12(a1,x13561,f27(a69,x13562))),f12(a69,f14(x13561),x13562)) % 5.99/5.92 [1357]~P9(a1,f3(a1),x13571)+E(f25(f12(a1,x13571,f27(a69,x13572))),f12(a69,f25(x13571),x13572)) % 5.99/5.92 [1405]~P9(a1,f27(a69,x14052),x14051)+E(f14(f9(a1,x14051,f27(a69,x14052))),f9(a69,f14(x14051),x14052)) % 5.99/5.92 [1406]~P9(a1,f27(a69,x14062),x14061)+E(f25(f9(a1,x14061,f27(a69,x14062))),f9(a69,f25(x14061),x14062)) % 5.99/5.92 [1690]~P76(x16901)+E(f54(f54(f11(x16901),f12(x16901,x16902,f4(x16901))),f9(x16901,x16902,f4(x16901))),f9(x16901,f54(f54(f11(x16901),x16902),x16902),f4(x16901))) % 5.99/5.92 [854]~P57(x8541)+E(f54(f15(x8541,f3(f72(x8541))),x8542),f3(x8541)) % 5.99/5.92 [855]~P58(x8551)+E(f54(f15(x8551,f4(f72(x8551))),x8552),f4(x8551)) % 5.99/5.92 [985]~P57(x9851)+E(f54(f54(f11(f72(x9851)),f3(f72(x9851))),x9852),f3(f72(x9851))) % 5.99/5.92 [1034]~P54(x10341)+E(f54(f54(f11(x10341),f10(x10341,f4(x10341))),x10342),f10(x10341,x10342)) % 5.99/5.92 [1100]E(f8(a70,x11001),f4(a70))+~E(f8(a70,f54(f54(f11(a70),x11001),x11002)),f4(a70)) % 5.99/5.92 [1119]~E(f27(a69,f25(x11191)),x11191)+E(f25(f54(f54(f21(a1),x11191),x11192)),f54(f54(f21(a69),f25(x11191)),x11192)) % 5.99/5.92 [1474]E(x14741,f3(a1))+~E(f12(a1,f54(f54(f11(a1),x14742),x14742),f54(f54(f11(a1),x14741),x14741)),f3(a1)) % 5.99/5.92 [1475]E(x14751,f3(a1))+~E(f12(a1,f54(f54(f11(a1),x14751),x14751),f54(f54(f11(a1),x14752),x14752)),f3(a1)) % 5.99/5.92 [1477]~P58(x14771)+E(f12(x14771,x14772,x14772),f54(f54(f11(x14771),f12(x14771,f4(x14771),f4(x14771))),x14772)) % 5.99/5.92 [1501]E(x15011,f3(a69))+E(f54(f54(f11(a69),x15012),f54(f54(f21(a69),x15012),f9(a69,x15011,f4(a69)))),f54(f54(f21(a69),x15012),x15011)) % 5.99/5.92 [1759]~P9(a1,f3(a1),x17592)+P9(a1,f12(a1,f54(f54(f11(a1),f27(a69,x17591)),x17592),f4(a1)),f54(f54(f21(a1),f12(a1,x17592,f4(a1))),x17591)) % 5.99/5.92 [1710]E(x17101,f3(a69))+E(f12(a69,x17102,f54(f54(f11(a69),f9(a69,x17101,f4(a69))),x17102)),f54(f54(f11(a69),x17101),x17102)) % 5.99/5.92 [949]~P58(x9491)+E(f12(x9491,x9492,x9493),f12(x9491,x9493,x9492)) % 5.99/5.92 [1004]P9(a69,x10041,x10042)+~E(x10042,f12(a69,x10041,x10043)) % 5.99/5.92 [1067]E(x10671,x10672)+~E(f12(a69,x10673,x10671),f12(a69,x10673,x10672)) % 5.99/5.92 [1068]E(x10681,x10682)+~E(f12(a69,x10681,x10683),f12(a69,x10682,x10683)) % 5.99/5.92 [1252]~P10(a69,x12521,x12523)+P10(a69,x12521,f12(a69,x12522,x12523)) % 5.99/5.92 [1254]~P10(a69,x12541,x12542)+P10(a69,x12541,f12(a69,x12542,x12543)) % 5.99/5.92 [1256]~P9(a69,x12561,x12563)+P9(a69,x12561,f12(a69,x12562,x12563)) % 5.99/5.92 [1258]~P9(a69,x12581,x12582)+P9(a69,x12581,f12(a69,x12582,x12583)) % 5.99/5.92 [1259]~P10(a69,x12591,x12593)+P10(a69,f9(a69,x12591,x12592),x12593) % 5.99/5.92 [1284]~P10(a1,f3(a1),x12843)+P10(a1,f3(a1),f62(x12841,x12842,x12843)) % 5.99/5.92 [1348]P10(a69,x13481,x13482)+~P10(a69,f12(a69,x13481,x13483),x13482) % 5.99/5.92 [1351]P9(a69,x13511,x13512)+~P9(a69,f12(a69,x13513,x13511),x13512) % 5.99/5.92 [1352]P9(a69,x13521,x13522)+~P9(a69,f12(a69,x13521,x13523),x13522) % 5.99/5.92 [1417]~P10(a69,x14172,x14173)+P10(a69,f12(a69,x14171,x14172),f12(a69,x14171,x14173)) % 5.99/5.92 [1418]~P10(a69,x14181,x14183)+P10(a69,f12(a69,x14181,x14182),f12(a69,x14183,x14182)) % 5.99/5.92 [1419]~P10(a70,x14191,x14193)+P10(a70,f12(a70,x14191,x14192),f12(a70,x14193,x14192)) % 5.99/5.92 [1420]~P9(a1,x14202,x14203)+P9(a1,f12(a1,x14201,x14202),f12(a1,x14201,x14203)) % 5.99/5.92 [1421]~P9(a69,x14212,x14213)+P9(a69,f12(a69,x14211,x14212),f12(a69,x14211,x14213)) % 5.99/5.92 [1422]~P9(a69,x14221,x14223)+P9(a69,f12(a69,x14221,x14222),f12(a69,x14223,x14222)) % 5.99/5.92 [1423]~P9(a69,x14233,x14232)+P9(a69,f9(a69,x14231,x14232),f9(a69,x14231,x14233)) % 5.99/5.92 [1424]~P9(a69,x14241,x14243)+P9(a69,f9(a69,x14241,x14242),f9(a69,x14243,x14242)) % 5.99/5.92 [1425]~P9(a70,x14252,x14253)+P9(a70,f12(a70,x14251,x14252),f12(a70,x14251,x14253)) % 5.99/5.92 [1497]~P10(a69,f12(a69,x14971,x14973),x14972)+P10(a69,x14971,f9(a69,x14972,x14973)) % 5.99/5.92 [1498]~P9(a69,f9(a69,x14981,x14983),x14982)+P9(a69,x14981,f12(a69,x14982,x14983)) % 5.99/5.92 [1499]~P10(a69,x14991,f9(a69,x14993,x14992))+P10(a69,f12(a69,x14991,x14992),x14993) % 5.99/5.92 [1500]~P9(a69,x15001,f12(a69,x15003,x15002))+P9(a69,f9(a69,x15001,x15002),x15003) % 5.99/5.92 [1597]P10(a69,x15971,x15972)+~P10(a69,f12(a69,x15973,x15971),f12(a69,x15973,x15972)) % 5.99/5.92 [1598]P9(a69,x15981,x15982)+~P9(a69,f12(a69,x15983,x15981),f12(a69,x15983,x15982)) % 5.99/5.92 [959]P11(x9591,x9592,x9593)+~E(f54(x9593,f57(x9593)),f54(x9593,f66(x9593))) % 5.99/5.92 [1016]~P24(x10161)+E(f12(x10161,x10162,f10(x10161,x10163)),f9(x10161,x10162,x10163)) % 5.99/5.92 [1017]~P16(x10171)+E(f12(x10171,x10172,f10(x10171,x10173)),f9(x10171,x10172,x10173)) % 5.99/5.92 [1018]~P54(x10181)+E(f12(x10181,x10182,f10(x10181,x10183)),f9(x10181,x10182,x10183)) % 5.99/5.92 [1019]~P24(x10191)+E(f9(x10191,x10192,f10(x10191,x10193)),f12(x10191,x10192,x10193)) % 5.99/5.92 [1071]~P24(x10711)+E(f12(x10711,f9(x10711,x10712,x10713),x10713),x10712) % 5.99/5.92 [1072]~P24(x10721)+E(f9(x10721,f12(x10721,x10722,x10723),x10723),x10722) % 5.99/5.92 [1115]~P16(x11151)+E(f10(x11151,f9(x11151,x11152,x11153)),f9(x11151,x11153,x11152)) % 5.99/5.92 [1160]~P24(x11601)+E(f12(x11601,f10(x11601,x11602),f12(x11601,x11602,x11603)),x11603) % 5.99/5.92 [1192]~P53(x11921)+E(f10(f72(x11921),f23(x11921,x11922,x11923)),f23(x11921,f10(x11921,x11922),x11923)) % 5.99/5.92 [1193]~P16(x11931)+E(f10(f72(x11931),f16(x11931,x11932,x11933)),f16(x11931,f10(x11931,x11932),x11933)) % 5.99/5.92 [1227]~P46(x12271)+E(f12(x12271,f29(x12271,x12272),f29(x12271,x12273)),f29(x12271,f12(a1,x12272,x12273))) % 5.99/5.92 [1228]~P46(x12281)+E(f9(x12281,f29(x12281,x12282),f29(x12281,x12283)),f29(x12281,f9(a1,x12282,x12283))) % 5.99/5.92 [1230]~P24(x12301)+E(f12(x12301,f10(x12301,x12302),f10(x12301,x12303)),f10(x12301,f12(x12301,x12303,x12302))) % 5.99/5.92 [1231]~P16(x12311)+E(f12(x12311,f10(x12311,x12312),f10(x12311,x12313)),f10(x12311,f12(x12311,x12312,x12313))) % 5.99/5.92 [1232]~P16(x12321)+E(f9(x12321,f10(x12321,x12322),f10(x12321,x12323)),f10(x12321,f9(x12321,x12322,x12323))) % 5.99/5.92 [1282]~P1(x12821)+E(f28(x12821,f9(x12821,x12822,x12823)),f28(x12821,f9(x12821,x12823,x12822))) % 5.99/5.92 [1283]~P30(x12831)+E(f8(x12831,f9(x12831,x12832,x12833)),f8(x12831,f9(x12831,x12833,x12832))) % 5.99/5.92 [1492]~P9(a69,x14922,x14923)+E(f9(a69,f12(a69,x14921,x14922),x14923),f9(a69,x14921,f9(a69,x14923,x14922))) % 5.99/5.92 [1493]~P9(a69,x14933,x14932)+E(f12(a69,x14931,f9(a69,x14932,x14933)),f9(a69,f12(a69,x14931,x14932),x14933)) % 5.99/5.92 [1495]~P9(a69,x14952,x14951)+E(f12(a69,f9(a69,x14951,x14952),x14953),f9(a69,f12(a69,x14951,x14953),x14952)) % 5.99/5.92 [1562]~P9(a69,x15623,x15622)+P9(a69,x15621,f9(a69,f12(a69,x15622,x15621),x15623)) % 5.99/5.92 [1621]~P1(x16211)+P9(a1,f28(x16211,f12(x16211,x16212,x16213)),f12(a1,f28(x16211,x16212),f28(x16211,x16213))) % 5.99/5.92 [1622]~P1(x16221)+P9(a1,f28(x16221,f9(x16221,x16222,x16223)),f12(a1,f28(x16221,x16222),f28(x16221,x16223))) % 5.99/5.92 [1623]~P1(x16231)+P9(a1,f9(a1,f28(x16231,x16232),f28(x16231,x16233)),f28(x16231,f12(x16231,x16232,x16233))) % 5.99/5.92 [1624]~P1(x16241)+P9(a1,f9(a1,f28(x16241,x16242),f28(x16241,x16243)),f28(x16241,f9(x16241,x16242,x16243))) % 5.99/5.92 [1635]~P30(x16351)+P9(x16351,f8(x16351,f12(x16351,x16352,x16353)),f12(x16351,f8(x16351,x16352),f8(x16351,x16353))) % 5.99/5.92 [1636]~P30(x16361)+P9(x16361,f8(x16361,f9(x16361,x16362,x16363)),f12(x16361,f8(x16361,x16362),f8(x16361,x16363))) % 5.99/5.92 [1637]~P30(x16371)+P9(x16371,f9(x16371,f8(x16371,x16372),f8(x16371,x16373)),f8(x16371,f9(x16371,x16373,x16372))) % 5.99/5.92 [1638]~P30(x16381)+P9(x16381,f9(x16381,f8(x16381,x16382),f8(x16381,x16383)),f8(x16381,f9(x16381,x16382,x16383))) % 5.99/5.92 [1790]~P51(x17901)+P13(f72(x17901),f54(f54(f21(f72(x17901)),f18(x17901,f10(x17901,x17902),f18(x17901,f4(x17901),f3(f72(x17901))))),f19(x17901,x17902,x17903)),x17903) % 5.99/5.92 [904]~E(x9042,f3(a69))+E(f54(f54(f11(a69),x9041),x9042),f54(f54(f11(a69),x9043),x9042)) % 5.99/5.92 [906]~E(x9061,f3(a69))+E(f54(f54(f11(a69),x9061),x9062),f54(f54(f11(a69),x9061),x9063)) % 5.99/5.92 [935]~P58(x9351)+E(f54(f54(f11(x9351),x9352),x9353),f54(f54(f11(x9351),x9353),x9352)) % 5.99/5.92 [1135]~P70(x11351)+E(f54(f54(f11(x11351),f10(x11351,x11352)),x11353),f54(f54(f11(x11351),x11352),f10(x11351,x11353))) % 5.99/5.92 [1136]~P70(x11361)+E(f54(f54(f11(x11361),f10(x11361,x11362)),f10(x11361,x11363)),f54(f54(f11(x11361),x11362),x11363)) % 5.99/5.92 [1213]~P24(x12131)+E(f12(x12131,x12132,f12(x12131,f10(x12131,x12132),x12133)),x12133) % 5.99/5.92 [1218]~P53(x12181)+E(f23(x12181,x12182,f10(f72(x12181),x12183)),f10(f72(x12181),f23(x12181,x12182,x12183))) % 5.99/5.92 [1286]~P16(x12861)+E(f18(x12861,f10(x12861,x12862),f10(f72(x12861),x12863)),f10(f72(x12861),f18(x12861,x12862,x12863))) % 5.99/5.92 [1319]~P50(x13191)+P9(x13191,f3(x13191),f54(f54(f21(x13191),f8(x13191,x13192)),x13193)) % 5.99/5.92 [1336]P10(a69,f3(a69),x13361)+P9(a69,f54(f54(f11(a69),x13362),x13361),f54(f54(f11(a69),x13363),x13361)) % 5.99/5.92 [1337]P10(a69,f3(a69),x13371)+P9(a69,f54(f54(f11(a69),x13371),x13372),f54(f54(f11(a69),x13371),x13373)) % 5.99/5.92 [1371]~P9(a69,x13712,x13713)+P9(a69,f54(f54(f11(a69),x13711),x13712),f54(f54(f11(a69),x13711),x13713)) % 5.99/5.92 [1373]~P9(a69,x13731,x13733)+P9(a69,f54(f54(f11(a69),x13731),x13732),f54(f54(f11(a69),x13733),x13732)) % 5.99/5.92 [1410]~P30(x14101)+E(f8(x14101,f12(x14101,f8(x14101,x14102),f8(x14101,x14103))),f12(x14101,f8(x14101,x14102),f8(x14101,x14103))) % 5.99/5.92 [1525]P10(a69,x15251,x15252)+~P10(a69,f54(f54(f11(a69),x15253),x15251),f54(f54(f11(a69),x15253),x15252)) % 5.99/5.92 [1526]P10(a69,x15261,x15262)+~P10(a69,f54(f54(f11(a69),x15261),x15263),f54(f54(f11(a69),x15262),x15263)) % 5.99/5.92 [1529]P10(a69,f3(a69),x15291)+~P10(a69,f54(f54(f11(a69),x15292),x15291),f54(f54(f11(a69),x15293),x15291)) % 5.99/5.92 [1530]P10(a69,f3(a69),x15301)+~P10(a69,f54(f54(f11(a69),x15301),x15302),f54(f54(f11(a69),x15301),x15303)) % 5.99/5.92 [1697]~P57(x16971)+E(f18(x16971,f54(f15(x16971,x16972),x16973),f24(x16971,x16972,x16973)),f12(f72(x16971),x16972,f23(x16971,x16973,f24(x16971,x16972,x16973)))) % 5.99/5.92 [1725]~P1(x17251)+P9(a1,f8(a1,f9(a1,f28(x17251,x17252),f28(x17251,x17253))),f28(x17251,f9(x17251,x17252,x17253))) % 5.99/5.92 [1726]~P30(x17261)+P9(x17261,f8(x17261,f9(x17261,f8(x17261,x17262),f8(x17261,x17263))),f8(x17261,f9(x17261,x17262,x17263))) % 5.99/5.92 [1168]~P70(x11681)+E(f54(f54(f11(x11681),x11682),f10(x11681,x11683)),f10(x11681,f54(f54(f11(x11681),x11682),x11683))) % 5.99/5.92 [1170]~P3(x11701)+E(f54(f54(f11(x11701),x11702),f10(x11701,x11703)),f10(x11701,f54(f54(f11(x11701),x11702),x11703))) % 5.99/5.92 [1191]~P44(x11911)+E(f54(f54(f11(x11911),x11912),f54(f54(f11(x11911),x11912),x11913)),f54(f54(f11(x11911),x11912),x11913)) % 5.99/5.92 [1206]~P53(x12061)+E(f54(f15(x12061,f10(f72(x12061),x12062)),x12063),f10(x12061,f54(f15(x12061,x12062),x12063))) % 5.99/5.92 [1207]~P46(x12071)+E(f29(x12071,f54(f54(f21(a1),x12072),x12073)),f54(f54(f21(x12071),f29(x12071,x12072)),x12073)) % 5.99/5.92 [1214]~P48(x12141)+E(f28(x12141,f54(f54(f21(x12141),x12142),x12143)),f54(f54(f21(a1),f28(x12141,x12142)),x12143)) % 5.99/5.92 [1219]~P70(x12191)+E(f54(f54(f11(x12191),f10(x12191,x12192)),x12193),f10(x12191,f54(f54(f11(x12191),x12192),x12193))) % 5.99/5.92 [1220]~P55(x12201)+E(f54(f54(f21(x12201),f26(x12201,x12202)),x12203),f26(x12201,f54(f54(f21(x12201),x12202),x12203))) % 5.99/5.92 [1221]~P50(x12211)+E(f54(f54(f21(x12211),f8(x12211,x12212)),x12213),f8(x12211,f54(f54(f21(x12211),x12212),x12213))) % 5.99/5.92 [1223]~P3(x12231)+E(f54(f54(f11(x12231),f10(x12231,x12232)),x12233),f10(x12231,f54(f54(f11(x12231),x12232),x12233))) % 5.99/5.92 [1263]~P46(x12631)+E(f54(f54(f11(x12631),f29(x12631,x12632)),f29(x12631,x12633)),f29(x12631,f54(f54(f11(a1),x12632),x12633))) % 5.99/5.92 [1278]~P48(x12781)+E(f54(f54(f11(a1),f28(x12781,x12782)),f28(x12781,x12783)),f28(x12781,f54(f54(f11(x12781),x12782),x12783))) % 5.99/5.92 [1287]~P7(x12871)+E(f54(f54(f11(x12871),f26(x12871,x12872)),f26(x12871,x12873)),f26(x12871,f54(f54(f11(x12871),x12872),x12873))) % 5.99/5.92 [1288]~P50(x12881)+E(f54(f54(f11(x12881),f8(x12881,x12882)),f8(x12881,x12883)),f8(x12881,f54(f54(f11(x12881),x12882),x12883))) % 5.99/5.92 [1289]~P48(x12891)+E(f54(f54(f11(x12891),f13(x12891,x12892)),f13(x12891,x12893)),f13(x12891,f54(f54(f11(x12891),x12892),x12893))) % 5.99/5.92 [1290]~P50(x12901)+E(f54(f54(f11(x12901),f13(x12901,x12902)),f13(x12901,x12903)),f13(x12901,f54(f54(f11(x12901),x12902),x12903))) % 5.99/5.92 [1416]~P50(x14161)+E(f8(x14161,f54(f54(f21(x14161),f10(x14161,x14162)),x14163)),f8(x14161,f54(f54(f21(x14161),x14162),x14163))) % 5.99/5.92 [1588]~P58(x15881)+E(f12(x15881,x15882,f54(f54(f11(x15881),x15883),x15882)),f54(f54(f11(x15881),f12(x15881,x15883,f4(x15881))),x15882)) % 5.99/5.92 [1589]~P58(x15891)+E(f12(x15891,f54(f54(f11(x15891),x15892),x15893),x15893),f54(f54(f11(x15891),f12(x15891,x15892,f4(x15891))),x15893)) % 5.99/5.92 [1611]~P2(x16111)+P9(a1,f28(x16111,f54(f54(f21(x16111),x16112),x16113)),f54(f54(f21(a1),f28(x16111,x16112)),x16113)) % 5.99/5.92 [1659]~P3(x16591)+P9(a1,f28(x16591,f54(f54(f11(x16591),x16592),x16593)),f54(f54(f11(a1),f28(x16591,x16593)),f53(x16592,x16591))) % 5.99/5.92 [1660]~P3(x16601)+P9(a1,f28(x16601,f54(f54(f11(x16601),x16602),x16603)),f54(f54(f11(a1),f28(x16601,x16602)),f28(x16601,x16603))) % 5.99/5.92 [1661]~P3(x16611)+P9(a1,f28(x16611,f54(f54(f11(x16611),x16612),x16613)),f54(f54(f11(a1),f28(x16611,x16612)),f52(x16613,x16611))) % 5.99/5.92 [1691]~P61(x16911)+P9(x16911,f3(x16911),f12(x16911,f54(f54(f11(x16911),x16912),x16912),f54(f54(f11(x16911),x16913),x16913))) % 5.99/5.92 [1730]~P76(x17301)+E(f54(f54(f11(x17301),f54(f54(f21(x17301),f10(x17301,f4(x17301))),x17302)),f54(f54(f21(x17301),x17303),x17302)),f54(f54(f21(x17301),f10(x17301,x17303)),x17302)) % 5.99/5.92 [1740]~P61(x17401)+~P10(x17401,f12(x17401,f54(f54(f11(x17401),x17402),x17402),f54(f54(f11(x17401),x17403),x17403)),f3(x17401)) % 5.99/5.92 [1769]~P3(x17691)+P9(a1,f28(x17691,f54(f54(f11(x17691),x17692),x17693)),f54(f54(f11(a1),f54(f54(f11(a1),f28(x17691,x17692)),f28(x17691,x17693))),f49(x17691))) % 5.99/5.92 [1799]~P54(x17991)+E(f12(f72(x17991),f54(f54(f11(f72(x17991)),f18(x17991,f10(x17991,x17992),f18(x17991,f4(x17991),f3(f72(x17991))))),f24(x17991,x17993,x17992)),f18(x17991,f54(f15(x17991,x17993),x17992),f3(f72(x17991)))),x17993) % 5.99/5.92 [1522]~P4(x15221)+E(f54(f54(f11(x15221),f54(f54(f21(x15221),x15222),x15223)),x15222),f54(f54(f11(x15221),x15222),f54(f54(f21(x15221),x15222),x15223))) % 5.99/5.92 [1804]~P10(a70,f3(a70),x18043)+P10(a70,x18041,f12(a70,x18042,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x18042,x18041)),f4(a70))),x18043))) % 5.99/5.92 [1805]~P10(a70,f3(a70),x18053)+P10(a70,f9(a70,x18051,f54(f54(f11(a70),f12(a70,f8(a70,f9(a70,x18051,x18052)),f4(a70))),x18053)),x18052) % 5.99/5.92 [1394]~P58(x13941)+E(f12(x13941,x13942,f12(x13941,x13943,x13944)),f12(x13941,x13943,f12(x13941,x13942,x13944))) % 5.99/5.92 [1396]~P58(x13961)+E(f12(x13961,f12(x13961,x13962,x13963),x13964),f12(x13961,x13962,f12(x13961,x13963,x13964))) % 5.99/5.92 [1397]~P19(x13971)+E(f12(x13971,f12(x13971,x13972,x13973),x13974),f12(x13971,x13972,f12(x13971,x13973,x13974))) % 5.99/5.92 [1398]~P58(x13981)+E(f12(x13981,f12(x13981,x13982,x13983),x13984),f12(x13981,f12(x13981,x13982,x13984),x13983)) % 5.99/5.92 [1515]~P57(x15151)+E(f24(x15151,f18(x15151,x15152,x15153),x15154),f18(x15151,f54(f15(x15151,x15153),x15154),f24(x15151,x15153,x15154))) % 5.99/5.92 [1544]~P57(x15441)+E(f18(x15441,f54(f54(f11(x15441),x15442),x15443),f23(x15441,x15442,x15444)),f23(x15441,x15442,f18(x15441,x15443,x15444))) % 5.99/5.92 [1546]~P57(x15461)+E(f12(f72(x15461),f23(x15461,x15462,x15463),f23(x15461,x15464,x15463)),f23(x15461,f12(x15461,x15462,x15464),x15463)) % 5.99/5.92 [1547]~P53(x15471)+E(f9(f72(x15471),f23(x15471,x15472,x15473),f23(x15471,x15474,x15473)),f23(x15471,f9(x15471,x15472,x15474),x15473)) % 5.99/5.92 [1548]~P17(x15481)+E(f12(f72(x15481),f16(x15481,x15482,x15483),f16(x15481,x15484,x15483)),f16(x15481,f12(x15481,x15482,x15484),x15483)) % 5.99/5.92 [1549]~P16(x15491)+E(f9(f72(x15491),f16(x15491,x15492,x15493),f16(x15491,x15494,x15493)),f16(x15491,f9(x15491,x15492,x15494),x15493)) % 5.99/5.92 [1005]~P37(x10052)+E(f54(f10(f77(x10051,x10052),x10053),x10054),f10(x10052,f54(x10053,x10054))) % 5.99/5.92 [1478]~P57(x14781)+E(f54(f15(x14781,x14782),f54(f15(x14781,x14783),x14784)),f54(f15(x14781,f20(x14781,x14782,x14783)),x14784)) % 5.99/5.92 [1488]~P57(x14881)+E(f54(f54(f11(x14881),x14882),f54(f15(x14881,x14883),x14884)),f54(f15(x14881,f23(x14881,x14882,x14883)),x14884)) % 5.99/5.92 [1591]~P57(x15911)+E(f12(f72(x15911),f23(x15911,x15912,x15913),f23(x15911,x15912,x15914)),f23(x15911,x15912,f12(f72(x15911),x15913,x15914))) % 5.99/5.92 [1592]~P53(x15921)+E(f9(f72(x15921),f23(x15921,x15922,x15923),f23(x15921,x15922,x15924)),f23(x15921,x15922,f9(f72(x15921),x15923,x15924))) % 5.99/5.92 [1724]~P57(x17241)+E(f12(f72(x17241),f18(x17241,x17242,f3(f72(x17241))),f54(f54(f11(f72(x17241)),x17243),f20(x17241,x17244,x17243))),f20(x17241,f18(x17241,x17242,x17244),x17243)) % 5.99/5.92 [1737]~P57(x17371)+E(f12(f72(x17371),f23(x17371,x17372,f7(x17371,x17373,x17372)),f18(x17371,x17374,f7(x17371,x17373,x17372))),f7(x17371,f18(x17371,x17374,x17373),x17372)) % 5.99/5.92 [1369]~P58(x13691)+E(f54(f54(f11(x13691),x13692),f54(f54(f11(x13691),x13693),x13694)),f54(f54(f11(x13691),x13693),f54(f54(f11(x13691),x13692),x13694))) % 5.99/5.92 [1382]~P57(x13821)+E(f23(x13821,f54(f54(f11(x13821),x13822),x13823),x13824),f23(x13821,x13822,f23(x13821,x13823,x13824))) % 5.99/5.92 [1383]~P57(x13831)+E(f16(x13831,f54(f54(f11(x13831),x13832),x13833),x13834),f23(x13831,x13832,f16(x13831,x13833,x13834))) % 5.99/5.92 [1518]~P58(x15181)+E(f54(f54(f11(x15181),x15182),f54(f54(f21(x15181),x15183),x15184)),f54(f15(x15181,f16(x15181,x15182,x15184)),x15183)) % 5.99/5.92 [1532]~P3(x15321)+E(f12(x15321,f54(f54(f11(x15321),x15322),x15323),f54(f54(f11(x15321),x15322),x15324)),f54(f54(f11(x15321),x15322),f12(x15321,x15323,x15324))) % 5.99/5.92 [1533]~P58(x15331)+E(f12(x15331,f54(f54(f11(x15331),x15332),x15333),f54(f54(f11(x15331),x15332),x15334)),f54(f54(f11(x15331),x15332),f12(x15331,x15333,x15334))) % 5.99/5.92 [1535]~P3(x15351)+E(f9(x15351,f54(f54(f11(x15351),x15352),x15353),f54(f54(f11(x15351),x15352),x15354)),f54(f54(f11(x15351),x15352),f9(x15351,x15353,x15354))) % 5.99/5.92 [1618]~P57(x16181)+E(f12(x16181,f54(f15(x16181,x16182),x16183),f54(f15(x16181,x16184),x16183)),f54(f15(x16181,f12(f72(x16181),x16182,x16184)),x16183)) % 5.99/5.93 [1619]~P53(x16191)+E(f9(x16191,f54(f15(x16191,x16192),x16193),f54(f15(x16191,x16194),x16193)),f54(f15(x16191,f9(f72(x16191),x16192,x16194)),x16193)) % 5.99/5.93 [1642]~P4(x16421)+E(f54(f54(f11(x16421),f54(f54(f21(x16421),x16422),x16423)),f54(f54(f21(x16421),x16422),x16424)),f54(f54(f21(x16421),x16422),f12(a69,x16423,x16424))) % 5.99/5.93 [1643]~P58(x16431)+E(f54(f54(f11(x16431),f54(f54(f21(x16431),x16432),x16433)),f54(f54(f21(x16431),x16432),x16434)),f54(f54(f21(x16431),x16432),f12(a69,x16433,x16434))) % 5.99/5.93 [1653]~P3(x16531)+E(f12(x16531,f54(f54(f11(x16531),x16532),x16533),f54(f54(f11(x16531),x16534),x16533)),f54(f54(f11(x16531),f12(x16531,x16532,x16534)),x16533)) % 5.99/5.93 [1654]~P52(x16541)+E(f12(x16541,f54(f54(f11(x16541),x16542),x16543),f54(f54(f11(x16541),x16544),x16543)),f54(f54(f11(x16541),f12(x16541,x16542,x16544)),x16543)) % 5.99/5.93 [1657]~P3(x16571)+E(f9(x16571,f54(f54(f11(x16571),x16572),x16573),f54(f54(f11(x16571),x16574),x16573)),f54(f54(f11(x16571),f9(x16571,x16572,x16574)),x16573)) % 5.99/5.93 [1658]~P58(x16581)+E(f12(x16581,f54(f54(f11(x16581),x16582),x16583),f54(f54(f11(x16581),x16584),x16583)),f54(f54(f11(x16581),f12(x16581,x16582,x16584)),x16583)) % 5.99/5.93 [1689]~P57(x16891)+E(f12(x16891,x16892,f54(f54(f11(x16891),x16893),f54(f15(x16891,x16894),x16893))),f54(f15(x16891,f18(x16891,x16892,x16894)),x16893)) % 5.99/5.93 [1489]~P57(x14891)+E(f23(x14891,x14892,f54(f54(f11(f72(x14891)),x14893),x14894)),f54(f54(f11(f72(x14891)),x14893),f23(x14891,x14892,x14894))) % 5.99/5.93 [1513]~P58(x15131)+E(f54(f54(f21(x15131),f54(f54(f21(x15131),x15132),x15133)),x15134),f54(f54(f21(x15131),x15132),f54(f54(f11(a69),x15133),x15134))) % 5.99/5.93 [1514]~P4(x15141)+E(f54(f54(f21(x15141),f54(f54(f21(x15141),x15142),x15143)),x15144),f54(f54(f21(x15141),x15142),f54(f54(f11(a69),x15143),x15144))) % 5.99/5.93 [1523]~P58(x15231)+E(f54(f54(f11(x15231),f54(f54(f11(x15231),x15232),x15233)),x15234),f54(f54(f11(x15231),x15232),f54(f54(f11(x15231),x15233),x15234))) % 5.99/5.93 [1524]~P18(x15241)+E(f54(f54(f11(x15241),f54(f54(f11(x15241),x15242),x15243)),x15244),f54(f54(f11(x15241),x15242),f54(f54(f11(x15241),x15243),x15244))) % 5.99/5.93 [1620]~P57(x16201)+E(f23(x16201,x16202,f54(f54(f11(f72(x16201)),x16203),x16204)),f54(f54(f11(f72(x16201)),f23(x16201,x16202,x16203)),x16204)) % 5.99/5.93 [1641]~P58(x16411)+E(f54(f54(f11(x16411),f54(f54(f11(x16411),x16412),x16413)),x16414),f54(f54(f11(x16411),f54(f54(f11(x16411),x16412),x16414)),x16413)) % 5.99/5.93 [1695]~P5(x16951)+E(f54(f54(f11(x16951),f54(f54(f21(x16951),x16952),x16953)),f54(f54(f21(x16951),x16954),x16953)),f54(f54(f21(x16951),f54(f54(f11(x16951),x16952),x16954)),x16953)) % 5.99/5.93 [1696]~P58(x16961)+E(f54(f54(f11(x16961),f54(f54(f21(x16961),x16962),x16963)),f54(f54(f21(x16961),x16964),x16963)),f54(f54(f21(x16961),f54(f54(f11(x16961),x16962),x16964)),x16963)) % 5.99/5.93 [1721]~P57(x17211)+E(f12(f72(x17211),f54(f54(f11(f72(x17211)),x17212),x17213),f54(f54(f11(f72(x17211)),x17214),x17213)),f54(f54(f11(f72(x17211)),f12(f72(x17211),x17212,x17214)),x17213)) % 5.99/5.93 [1670]~P58(x16701)+E(f54(f15(x16701,f54(f54(f21(f72(x16701)),x16702),x16703)),x16704),f54(f54(f21(x16701),f54(f15(x16701,x16702),x16704)),x16703)) % 5.99/5.93 [1711]~P57(x17111)+E(f54(f54(f11(x17111),f54(f15(x17111,x17112),x17113)),f54(f15(x17111,x17114),x17113)),f54(f15(x17111,f54(f54(f11(f72(x17111)),x17112),x17114)),x17113)) % 5.99/5.93 [1731]~P57(x17311)+E(f12(f72(x17311),f23(x17311,x17312,x17313),f18(x17311,f3(x17311),f54(f54(f11(f72(x17311)),x17313),x17314))),f54(f54(f11(f72(x17311)),x17313),f18(x17311,x17312,x17314))) % 5.99/5.93 [1738]~P57(x17381)+E(f12(f72(x17381),f23(x17381,x17382,x17383),f18(x17381,f3(x17381),f54(f54(f11(f72(x17381)),x17384),x17383))),f54(f54(f11(f72(x17381)),f18(x17381,x17382,x17384)),x17383)) % 5.99/5.93 [1774]~P54(x17741)+E(f54(f15(x17741,f54(f54(f11(f72(x17741)),f16(x17741,f4(x17741),x17742)),x17743)),x17744),f54(f54(f11(x17741),f54(f54(f21(x17741),x17744),x17742)),f54(f15(x17741,x17743),x17744))) % 5.99/5.93 [945]~P11(x9454,x9455,x9451)+E(f54(x9451,x9452),f54(x9451,x9453)) % 5.99/5.93 [1667]~P58(x16671)+E(f12(x16671,f12(x16671,x16672,x16673),f12(x16671,x16674,x16675)),f12(x16671,f12(x16671,x16672,x16674),f12(x16671,x16673,x16675))) % 5.99/5.93 [1668]~P16(x16681)+E(f12(x16681,f9(x16681,x16682,x16683),f9(x16681,x16684,x16685)),f9(x16681,f12(x16681,x16682,x16684),f12(x16681,x16683,x16685))) % 5.99/5.93 [1715]~P57(x17151)+E(f54(f54(f11(f72(x17151)),f16(x17151,x17152,x17153)),f16(x17151,x17154,x17155)),f16(x17151,f54(f54(f11(x17151),x17152),x17154),f12(a69,x17153,x17155))) % 5.99/5.93 [1332]~P27(x13322)+E(f54(f9(f77(x13321,x13322),x13323,x13324),x13325),f9(x13322,f54(x13323,x13325),f54(x13324,x13325))) % 5.99/5.93 [1671]~P17(x16711)+E(f18(x16711,f12(x16711,x16712,x16713),f12(f72(x16711),x16714,x16715)),f12(f72(x16711),f18(x16711,x16712,x16714),f18(x16711,x16713,x16715))) % 5.99/5.93 [1672]~P16(x16721)+E(f18(x16721,f9(x16721,x16722,x16723),f9(f72(x16721),x16724,x16725)),f9(f72(x16721),f18(x16721,x16722,x16724),f18(x16721,x16723,x16725))) % 5.99/5.93 [1779]~P1(x17791)+P9(a1,f28(x17791,f9(x17791,f12(x17791,x17792,x17793),f12(x17791,x17794,x17795))),f12(a1,f28(x17791,f9(x17791,x17792,x17794)),f28(x17791,f9(x17791,x17793,x17795)))) % 5.99/5.93 [1781]~P30(x17811)+P9(x17811,f8(x17811,f9(x17811,f12(x17811,x17812,x17813),f12(x17811,x17814,x17815))),f12(x17811,f8(x17811,f9(x17811,x17812,x17814)),f8(x17811,f9(x17811,x17813,x17815)))) % 5.99/5.93 [1723]~P58(x17231)+E(f54(f54(f11(x17231),f54(f54(f11(x17231),x17232),x17233)),f54(f54(f11(x17231),x17234),x17235)),f54(f54(f11(x17231),f54(f54(f11(x17231),x17232),x17234)),f54(f54(f11(x17231),x17233),x17235))) % 5.99/5.93 [1760]~P70(x17601)+E(f12(x17601,f54(f54(f11(x17601),x17602),f9(x17601,x17603,x17604)),f54(f54(f11(x17601),f9(x17601,x17602,x17605)),x17604)),f9(x17601,f54(f54(f11(x17601),x17602),x17603),f54(f54(f11(x17601),x17605),x17604))) % 5.99/5.93 [1800]~P3(x18001)+E(f12(x18001,f12(x18001,f54(f54(f11(x18001),f9(x18001,x18002,x18003)),f9(x18001,x18004,x18005)),f54(f54(f11(x18001),f9(x18001,x18002,x18003)),x18005)),f54(f54(f11(x18001),x18003),f9(x18001,x18004,x18005))),f9(x18001,f54(f54(f11(x18001),x18002),x18004),f54(f54(f11(x18001),x18003),x18005))) % 5.99/5.93 [1752]~P79(x17521)+E(f12(x17521,f54(f54(f11(x17521),x17522),x17523),f12(x17521,f54(f54(f11(x17521),x17524),x17523),x17525)),f12(x17521,f54(f54(f11(x17521),f12(x17521,x17522,x17524)),x17523),x17525)) % 5.99/5.93 [1775]~P9(a69,x17751,x17754)+E(f9(a69,f12(a69,f54(f54(f11(a69),x17751),x17752),x17753),f12(a69,f54(f54(f11(a69),x17754),x17752),x17755)),f9(a69,x17753,f12(a69,f54(f54(f11(a69),f9(a69,x17754,x17751)),x17752),x17755))) % 5.99/5.93 [1776]~P9(a69,x17764,x17761)+E(f9(a69,f12(a69,f54(f54(f11(a69),x17761),x17762),x17763),f12(a69,f54(f54(f11(a69),x17764),x17762),x17765)),f9(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17761,x17764)),x17762),x17763),x17765)) % 5.99/5.93 [817]~P1(x8171)+~P46(x8171)+P10(a1,f3(a1),f42(x8171)) % 5.99/5.93 [818]~P1(x8181)+~P46(x8181)+P9(a1,f3(a1),f50(x8181)) % 5.99/5.93 [1317]~P10(a69,f5(a2,x13171),f5(a2,a73))+P11(a2,a2,f15(a2,x13171))+E(f54(f15(a2,x13171),f31(x13171)),f3(a2)) % 5.99/5.93 [932]E(x9321,x9322)+P10(a69,x9322,x9321)+P10(a69,x9321,x9322) % 5.99/5.93 [933]E(x9331,x9332)+P10(a70,x9332,x9331)+P10(a70,x9331,x9332) % 5.99/5.93 [1009]E(x10091,x10092)+P10(a1,x10091,x10092)+~P9(a1,x10091,x10092) % 5.99/5.93 [1012]E(x10121,x10122)+P10(a69,x10121,x10122)+~P9(a69,x10121,x10122) % 5.99/5.93 [1013]E(x10131,x10132)+P10(a70,x10131,x10132)+~P9(a70,x10131,x10132) % 5.99/5.93 [1073]E(x10731,x10732)+~P9(a1,x10732,x10731)+~P9(a1,x10731,x10732) % 5.99/5.93 [1074]E(x10741,x10742)+~P9(a69,x10742,x10741)+~P9(a69,x10741,x10742) % 5.99/5.93 [1075]E(x10751,x10752)+~P9(a70,x10752,x10751)+~P9(a70,x10751,x10752) % 5.99/5.93 [678]~P26(x6781)+~E(x6782,f3(x6781))+E(f10(x6781,x6782),x6782) % 5.99/5.93 [679]~P46(x6791)+E(f29(x6791,x6792),f3(x6791))+~E(x6792,f3(a1)) % 5.99/5.93 [689]~P1(x6891)+~E(x6892,f3(x6891))+E(f28(x6891,x6892),f3(a1)) % 5.99/5.93 [690]~P24(x6901)+~E(f3(x6901),x6902)+E(f10(x6901,x6902),f3(x6901)) % 5.99/5.93 [691]~P24(x6911)+~E(x6912,f3(x6911))+E(f10(x6911,x6912),f3(x6911)) % 5.99/5.93 [692]~P55(x6921)+~E(x6922,f3(x6921))+E(f26(x6921,x6922),f3(x6921)) % 5.99/5.93 [693]~P7(x6931)+~E(x6932,f4(x6931))+E(f26(x6931,x6932),f4(x6931)) % 5.99/5.93 [694]~P30(x6941)+~E(x6942,f3(x6941))+E(f8(x6941,x6942),f3(x6941)) % 5.99/5.93 [695]~P1(x6951)+~E(x6952,f3(x6951))+E(f13(x6951,x6952),f3(x6951)) % 5.99/5.93 [696]~P50(x6961)+~E(x6962,f3(x6961))+E(f13(x6961,x6962),f3(x6961)) % 5.99/5.93 [697]~P38(x6971)+~E(x6972,f3(x6971))+E(f13(x6971,x6972),f3(x6971)) % 5.99/5.93 [700]~P26(x7002)+~E(f10(x7002,x7001),x7001)+E(x7001,f3(x7002)) % 5.99/5.93 [707]~P1(x7072)+E(x7071,f3(x7072))+~E(f28(x7072,x7071),f3(a1)) % 5.99/5.93 [708]~P46(x7082)+~E(f29(x7082,x7081),f3(x7082))+E(x7081,f3(a1)) % 5.99/5.93 [709]~P24(x7092)+~E(f10(x7092,x7091),f3(x7092))+E(x7091,f3(x7092)) % 5.99/5.93 [710]~P55(x7102)+~E(f26(x7102,x7101),f3(x7102))+E(x7101,f3(x7102)) % 5.99/5.93 [712]~P56(x7122)+~E(f26(x7122,x7121),f3(x7122))+E(x7121,f3(x7122)) % 5.99/5.93 [713]~P30(x7132)+~E(f8(x7132,x7131),f3(x7132))+E(x7131,f3(x7132)) % 5.99/5.93 [714]~P1(x7142)+~E(f13(x7142,x7141),f3(x7142))+E(x7141,f3(x7142)) % 5.99/5.93 [715]~P50(x7152)+~E(f13(x7152,x7151),f3(x7152))+E(x7151,f3(x7152)) % 5.99/5.93 [716]~P7(x7162)+~E(f26(x7162,x7161),f4(x7162))+E(x7161,f4(x7162)) % 5.99/5.93 [717]~P24(x7171)+~E(f10(x7171,x7172),f3(x7171))+E(f3(x7171),x7172) % 5.99/5.93 [776]~E(x7762,f3(a69))+~E(x7761,f3(a69))+E(f12(a69,x7761,x7762),f3(a69)) % 5.99/5.93 [811]~P26(x8111)+~E(x8112,f3(x8111))+E(f12(x8111,x8112,x8112),f3(x8111)) % 5.99/5.93 [832]~P22(x8321)+P10(x8321,x8322,f3(x8321))+E(f8(x8321,x8322),x8322) % 5.99/5.93 [887]~P1(x8872)+E(x8871,f3(x8872))+P10(a1,f3(a1),f28(x8872,x8871)) % 5.99/5.93 [893]~P50(x8931)+P10(x8931,f3(x8931),x8932)+~E(f13(x8931,x8932),f4(x8931)) % 5.99/5.93 [903]~P1(x9031)+~E(x9032,f3(x9031))+P9(a1,f28(x9031,x9032),f3(a1)) % 5.99/5.93 [911]~P30(x9112)+P10(x9112,f3(x9112),f8(x9112,x9111))+E(x9111,f3(x9112)) % 5.99/5.93 [917]~P30(x9171)+P9(x9171,f8(x9171,x9172),f3(x9171))+~E(x9172,f3(x9171)) % 5.99/5.93 [919]~P26(x9192)+~E(f12(x9192,x9191,x9191),f3(x9192))+E(x9191,f3(x9192)) % 5.99/5.93 [957]~P30(x9571)+~P10(x9571,f3(x9571),x9572)+E(f8(x9571,x9572),x9572) % 5.99/5.93 [958]~P30(x9581)+~P9(x9581,f3(x9581),x9582)+E(f8(x9581,x9582),x9582) % 5.99/5.93 [973]~P50(x9731)+~P10(x9731,f3(x9731),x9732)+E(f13(x9731,x9732),f4(x9731)) % 5.99/5.93 [981]~P45(x9811)+P14(x9811,x9812)+P9(a69,f58(x9812,x9811),f60(x9812,x9811)) % 5.99/5.93 [986]~P30(x9861)+~P10(x9861,x9862,f3(x9861))+E(f10(x9861,x9862),f8(x9861,x9862)) % 5.99/5.93 [987]~P30(x9871)+~P9(x9871,x9872,f3(x9871))+E(f10(x9871,x9872),f8(x9871,x9872)) % 5.99/5.93 [988]~P22(x9881)+~P10(x9881,x9882,f3(x9881))+E(f10(x9881,x9882),f8(x9881,x9882)) % 5.99/5.93 [1015]~P1(x10152)+E(x10151,f3(x10152))+~P9(a1,f28(x10152,x10151),f3(a1)) % 5.99/5.93 [1021]~P1(x10212)+~E(x10211,f3(x10212))+~P10(a1,f3(a1),f28(x10212,x10211)) % 5.99/5.93 [1030]~P30(x10302)+~P9(x10302,f8(x10302,x10301),f3(x10302))+E(x10301,f3(x10302)) % 5.99/5.93 [1057]~P30(x10572)+~P10(x10572,f3(x10572),f8(x10572,x10571))+~E(x10571,f3(x10572)) % 5.99/5.93 [1086]E(x10861,x10862)+~E(f9(a69,x10862,x10861),f3(a69))+~E(f9(a69,x10861,x10862),f3(a69)) % 5.99/5.93 [1120]~P50(x11201)+~P10(x11201,x11202,f3(x11201))+P10(x11201,x11202,f10(x11201,x11202)) % 5.99/5.93 [1121]~P26(x11211)+~P9(x11211,x11212,f3(x11211))+P9(x11211,x11212,f10(x11211,x11212)) % 5.99/5.93 [1122]~P26(x11221)+~P10(x11221,f3(x11221),x11222)+P10(x11221,f10(x11221,x11222),x11222) % 5.99/5.93 [1123]~P26(x11231)+~P9(x11231,f3(x11231),x11232)+P9(x11231,f10(x11231,x11232),x11232) % 5.99/5.93 [1139]~P32(x11391)+~P10(x11391,x11392,f3(x11391))+P10(x11391,f3(x11391),f10(x11391,x11392)) % 5.99/5.93 [1140]~P32(x11401)+~P9(x11401,x11402,f3(x11401))+P9(x11401,f3(x11401),f10(x11401,x11402)) % 5.99/5.93 [1141]~P6(x11411)+~P10(x11411,f3(x11411),x11412)+P10(x11411,f3(x11411),f26(x11411,x11412)) % 5.99/5.93 [1142]~P15(x11421)+~P10(x11421,f3(x11421),x11422)+P10(x11421,f3(x11421),f26(x11421,x11422)) % 5.99/5.93 [1143]~P50(x11431)+~P10(x11431,f3(x11431),x11432)+P10(x11431,f3(x11431),f13(x11431,x11432)) % 5.99/5.93 [1144]~P6(x11441)+~P9(x11441,f3(x11441),x11442)+P9(x11441,f3(x11441),f26(x11441,x11442)) % 5.99/5.93 [1145]~P6(x11451)+~P10(x11451,x11452,f3(x11451))+P10(x11451,f26(x11451,x11452),f3(x11451)) % 5.99/5.93 [1146]~P15(x11461)+~P10(x11461,x11462,f3(x11461))+P10(x11461,f26(x11461,x11462),f3(x11461)) % 5.99/5.93 [1147]~P6(x11471)+~P9(x11471,x11472,f3(x11471))+P10(x11471,f26(x11471,x11472),f4(x11471)) % 5.99/5.93 [1148]~P50(x11481)+~P10(x11481,x11482,f3(x11481))+P10(x11481,f13(x11481,x11482),f3(x11481)) % 5.99/5.93 [1149]~P6(x11491)+~P9(x11491,x11492,f3(x11491))+P9(x11491,f26(x11491,x11492),f3(x11491)) % 5.99/5.93 [1150]~P6(x11501)+~P9(x11501,x11502,f3(x11501))+P9(x11501,f26(x11501,x11502),f4(x11501)) % 5.99/5.93 [1151]~P32(x11511)+~P10(x11511,f3(x11511),x11512)+P10(x11511,f10(x11511,x11512),f3(x11511)) % 5.99/5.93 [1152]~P6(x11521)+~P10(x11521,f4(x11521),x11522)+P10(x11521,f26(x11521,x11522),f4(x11521)) % 5.99/5.93 [1153]~P32(x11531)+~P9(x11531,f3(x11531),x11532)+P9(x11531,f10(x11531,x11532),f3(x11531)) % 5.99/5.93 [1154]~P6(x11541)+~P9(x11541,f4(x11541),x11542)+P9(x11541,f26(x11541,x11542),f4(x11541)) % 5.99/5.93 [1156]~P50(x11561)+~P10(x11561,x11562,f10(x11561,x11562))+P10(x11561,x11562,f3(x11561)) % 5.99/5.93 [1157]~P26(x11571)+~P9(x11571,x11572,f10(x11571,x11572))+P9(x11571,x11572,f3(x11571)) % 5.99/5.93 [1158]~P26(x11581)+~P10(x11581,f10(x11581,x11582),x11582)+P10(x11581,f3(x11581),x11582) % 5.99/5.93 [1159]~P26(x11591)+~P9(x11591,f10(x11591,x11592),x11592)+P9(x11591,f3(x11591),x11592) % 5.99/5.93 [1172]~P32(x11721)+~P10(x11721,f3(x11721),f10(x11721,x11722))+P10(x11721,x11722,f3(x11721)) % 5.99/5.93 [1173]~P6(x11731)+~P10(x11731,f4(x11731),f26(x11731,x11732))+P10(x11731,x11732,f4(x11731)) % 5.99/5.93 [1174]~P32(x11741)+~P9(x11741,f3(x11741),f10(x11741,x11742))+P9(x11741,x11742,f3(x11741)) % 5.99/5.93 [1175]~P6(x11751)+~P9(x11751,f4(x11751),f26(x11751,x11752))+P9(x11751,x11752,f4(x11751)) % 5.99/5.93 [1176]~P50(x11761)+~P10(x11761,f13(x11761,x11762),f3(x11761))+P10(x11761,x11762,f3(x11761)) % 5.99/5.93 [1177]~P6(x11771)+~P10(x11771,f26(x11771,x11772),f3(x11771))+P10(x11771,x11772,f3(x11771)) % 5.99/5.93 [1178]~P6(x11781)+~P9(x11781,f26(x11781,x11782),f3(x11781))+P9(x11781,x11782,f3(x11781)) % 5.99/5.93 [1179]~P50(x11791)+~P10(x11791,f3(x11791),f13(x11791,x11792))+P10(x11791,f3(x11791),x11792) % 5.99/5.93 [1180]~P6(x11801)+~P10(x11801,f3(x11801),f26(x11801,x11802))+P10(x11801,f3(x11801),x11802) % 5.99/5.93 [1181]~P6(x11811)+~P10(x11811,f4(x11811),f26(x11811,x11812))+P10(x11811,f3(x11811),x11812) % 5.99/5.93 [1182]~P6(x11821)+~P9(x11821,f4(x11821),f26(x11821,x11822))+P10(x11821,f3(x11821),x11822) % 5.99/5.93 [1183]~P6(x11831)+~P9(x11831,f3(x11831),f26(x11831,x11832))+P9(x11831,f3(x11831),x11832) % 5.99/5.93 [1184]~P32(x11841)+~P10(x11841,f10(x11841,x11842),f3(x11841))+P10(x11841,f3(x11841),x11842) % 5.99/5.93 [1185]~P32(x11851)+~P9(x11851,f10(x11851,x11852),f3(x11851))+P9(x11851,f3(x11851),x11852) % 5.99/5.93 [1292]~P9(a69,f14(x12921),x12922)+P9(a1,x12921,f27(a69,x12922))+~P9(a1,f3(a1),x12921) % 5.99/5.93 [1293]~P9(a69,x12931,f25(x12932))+P9(a1,f27(a69,x12931),x12932)+~P9(a1,f3(a1),x12932) % 5.99/5.93 [1294]~P9(a70,f3(a70),x12942)+~P9(a70,f3(a70),x12941)+P9(a70,f3(a70),f17(x12941,x12942)) % 5.99/5.93 [1308]P10(a69,f25(x13081),x13082)+~P10(a1,x13081,f27(a69,x13082))+~P9(a1,f3(a1),x13081) % 5.99/5.93 [1311]~P26(x13111)+~P10(x13111,f3(x13111),x13112)+P10(x13111,f3(x13111),f12(x13111,x13112,x13112)) % 5.99/5.93 [1312]~P26(x13121)+~P9(x13121,f3(x13121),x13122)+P9(x13121,f3(x13121),f12(x13121,x13122,x13122)) % 5.99/5.93 [1313]~P50(x13131)+~P10(x13131,x13132,f3(x13131))+P10(x13131,f12(x13131,x13132,x13132),f3(x13131)) % 5.99/5.93 [1314]~P26(x13141)+~P10(x13141,x13142,f3(x13141))+P10(x13141,f12(x13141,x13142,x13142),f3(x13141)) % 5.99/5.93 [1315]~P26(x13151)+~P9(x13151,x13152,f3(x13151))+P9(x13151,f12(x13151,x13152,x13152),f3(x13151)) % 5.99/5.93 [1327]~P9(a1,x13271,x13272)+~P9(a1,f10(a1,x13272),x13271)+P9(a1,f8(a1,x13271),x13272) % 5.99/5.93 [1399]~P50(x13991)+~P10(x13991,f12(x13991,x13992,x13992),f3(x13991))+P10(x13991,x13992,f3(x13991)) % 5.99/5.93 [1400]~P26(x14001)+~P10(x14001,f12(x14001,x14002,x14002),f3(x14001))+P10(x14001,x14002,f3(x14001)) % 5.99/5.93 [1401]~P26(x14011)+~P9(x14011,f12(x14011,x14012,x14012),f3(x14011))+P9(x14011,x14012,f3(x14011)) % 5.99/5.93 [1402]~P26(x14021)+~P10(x14021,f3(x14021),f12(x14021,x14022,x14022))+P10(x14021,f3(x14021),x14022) % 5.99/5.93 [1403]~P26(x14031)+~P9(x14031,f3(x14031),f12(x14031,x14032,x14032))+P9(x14031,f3(x14031),x14032) % 5.99/5.93 [1407]P10(a69,f9(a69,x14071,x14072),x14071)+~P10(a69,f3(a69),x14071)+~P10(a69,f3(a69),x14072) % 5.99/5.93 [1409]~P9(a70,f3(a70),x14092)+~P9(a70,f3(a70),x14091)+P9(a70,f3(a70),f12(a70,x14091,x14092)) % 5.99/5.93 [1465]P10(a69,f3(a69),x14651)+P10(a69,f3(a69),x14652)+~P10(a69,f3(a69),f12(a69,x14652,x14651)) % 5.99/5.93 [719]~P29(x7191)+E(f5(x7191,x7192),f3(a69))+~E(x7192,f3(f72(x7191))) % 5.99/5.93 [720]~P29(x7202)+~E(f5(x7202,x7201),f3(a69))+E(x7201,f3(f72(x7202))) % 5.99/5.93 [728]~P56(x7282)+E(x7281,f3(x7282))+E(f26(x7282,f26(x7282,x7281)),x7281) % 5.99/5.93 [738]~P1(x7382)+E(x7381,f3(x7382))+E(f28(x7382,f13(x7382,x7381)),f4(a1)) % 5.99/5.93 [739]~P50(x7391)+~E(x7392,f3(f72(x7391)))+E(f13(f72(x7391),x7392),f3(f72(x7391))) % 5.99/5.93 [745]~P1(x7451)+~E(x7452,f3(x7451))+E(f28(x7451,f13(x7451,x7452)),f3(a1)) % 5.99/5.93 [856]~P47(x8562)+E(x8561,f3(a1))+E(f29(x8562,f26(a1,x8561)),f26(x8562,f29(x8562,x8561))) % 5.99/5.93 [872]~P48(x8722)+E(x8721,f3(x8722))+E(f28(x8722,f26(x8722,x8721)),f26(a1,f28(x8722,x8721))) % 5.99/5.93 [876]~P55(x8761)+~P47(x8761)+E(f29(x8761,f26(a1,x8762)),f26(x8761,f29(x8761,x8762))) % 5.99/5.93 [881]~P56(x8812)+E(x8811,f3(x8812))+E(f26(x8812,f10(x8812,x8811)),f10(x8812,f26(x8812,x8811))) % 5.99/5.93 [882]~P15(x8822)+E(x8821,f3(x8822))+E(f26(x8822,f8(x8822,x8821)),f8(x8822,f26(x8822,x8821))) % 5.99/5.93 [883]~P48(x8831)+~P55(x8831)+E(f28(x8831,f26(x8831,x8832)),f26(a1,f28(x8831,x8832))) % 5.99/5.93 [888]~P56(x8882)+E(x8881,f3(x8882))+E(f54(f54(f11(x8882),x8881),f26(x8882,x8881)),f4(x8882)) % 5.99/5.93 [928]~P50(x9281)+P10(f72(x9281),x9282,f3(f72(x9281)))+E(f8(f72(x9281),x9282),x9282) % 5.99/5.93 [974]~P50(x9741)+P10(x9741,x9742,f3(x9741))+~E(f13(x9741,x9742),f10(x9741,f4(x9741))) % 5.99/5.93 [1000]~P50(x10001)+~P10(x10001,x10002,f3(x10001))+E(f13(x10001,x10002),f10(x10001,f4(x10001))) % 5.99/5.93 [1077]~P50(x10771)+~P10(f72(x10771),x10772,f3(f72(x10771)))+E(f10(f72(x10771),x10772),f8(f72(x10771),x10772)) % 5.99/5.93 [1366]E(x13661,x13662)+P10(a70,x13661,x13662)+~P10(a70,x13661,f12(a70,x13662,f4(a70))) % 5.99/5.93 [1411]~P1(x14111)+~P46(x14111)+P9(a1,f28(x14111,f29(x14111,x14112)),f54(f54(f11(a1),f28(a1,x14112)),f42(x14111))) % 5.99/5.93 [1412]~P1(x14121)+~P46(x14121)+P9(a1,f28(x14121,f29(x14121,x14122)),f54(f54(f11(a1),f28(a1,x14122)),f50(x14121))) % 5.99/5.93 [1413]~P1(x14131)+~P46(x14131)+P9(a1,f28(x14131,f29(x14131,x14132)),f54(f54(f11(a1),f28(a1,x14132)),f63(x14131))) % 5.99/5.93 [1432]~P45(x14321)+P14(x14321,x14322)+~P9(x14321,f54(x14322,f60(x14322,x14321)),f54(x14322,f58(x14322,x14321))) % 5.99/5.93 [1587]E(f25(x15871),x15872)+~P9(a1,f27(a69,x15872),x15871)+~P10(a1,x15871,f12(a1,f27(a69,x15872),f4(a1))) % 5.99/5.93 [1625]~P10(a1,f27(a69,x16252),x16251)+~P9(a1,x16251,f12(a1,f27(a69,x16252),f4(a1)))+E(f14(x16251),f12(a69,x16252,f4(a69))) % 5.99/5.93 [754]~E(x7542,f4(a69))+~E(x7541,f4(a69))+E(f54(f54(f11(a69),x7541),x7542),f4(a69)) % 5.99/5.93 [804]~P63(x8041)+~E(x8042,f4(x8041))+E(f54(f54(f11(x8041),x8042),x8042),f4(x8041)) % 5.99/5.93 [830]E(x8301,f4(a69))+E(x8302,f3(a69))+~E(f54(f54(f11(a69),x8302),x8301),x8302) % 5.99/5.93 [835]E(x8351,f3(a69))+E(x8352,f3(a69))+~E(f54(f54(f11(a69),x8352),x8351),f3(a69)) % 5.99/5.93 [901]~P63(x9011)+~E(x9012,f10(x9011,f4(x9011)))+E(f54(f54(f11(x9011),x9012),x9012),f4(x9011)) % 5.99/5.93 [970]~P56(x9702)+E(x9701,f3(x9702))+E(f54(f54(f11(x9702),f26(x9702,x9701)),x9701),f4(x9702)) % 5.99/5.93 [971]~P8(x9712)+E(x9711,f3(x9712))+E(f54(f54(f11(x9712),f26(x9712,x9711)),x9711),f4(x9712)) % 5.99/5.93 [1069]E(x10691,f4(a70))+~P10(a70,f3(a70),x10692)+~E(f54(f54(f11(a70),x10692),x10691),f4(a70)) % 5.99/5.93 [1070]E(x10701,f4(a70))+~P10(a70,f3(a70),x10701)+~E(f54(f54(f11(a70),x10701),x10702),f4(a70)) % 5.99/5.93 [1339]E(x13391,f3(a69))+P10(a69,f3(a69),x13392)+~P10(a69,f3(a69),f54(f54(f21(a69),x13392),x13391)) % 5.99/5.93 [1379]~P10(a1,f3(a1),x13792)+~P10(a1,f3(a1),x13791)+P10(a1,f3(a1),f54(f54(f11(a1),x13791),x13792)) % 5.99/5.93 [1380]~P10(a69,f3(a69),x13802)+~P10(a69,f3(a69),x13801)+P10(a69,f3(a69),f54(f54(f11(a69),x13801),x13802)) % 5.99/5.93 [1381]~P9(a70,f3(a70),x13812)+~P9(a70,f3(a70),x13811)+P9(a70,f3(a70),f54(f54(f11(a70),x13811),x13812)) % 5.99/5.93 [1479]E(x14791,f3(a69))+~E(x14792,f3(a70))+~P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,x14792)),x14791)) % 5.99/5.93 [1279]~E(x12792,f3(a1))+~E(x12791,f3(a1))+E(f12(a1,f54(f54(f11(a1),x12791),x12791),f54(f54(f11(a1),x12792),x12792)),f3(a1)) % 5.99/5.93 [1669]~P9(a1,f3(a1),x16692)+~P9(a1,f3(a1),x16691)+P9(a69,f54(f54(f11(a69),f25(x16691)),f25(x16692)),f25(f54(f54(f11(a1),x16691),x16692))) % 5.99/5.93 [1780]E(x17801,f3(a69))+E(x17802,f3(a2))+P10(a1,f28(a2,f12(a2,f4(a2),f54(f54(f11(a2),x17802),f54(f54(f21(a2),f44(x17801,x17802)),x17801)))),f4(a1)) % 5.99/5.93 [767]~E(x7672,x7673)+~P40(x7671)+P9(x7671,x7672,x7673) % 5.99/5.93 [769]~E(x7692,x7693)+~P45(x7691)+P9(x7691,x7692,x7693) % 5.99/5.93 [899]~P10(x8993,x8991,x8992)+~E(x8991,x8992)+~P42(x8993) % 5.99/5.93 [900]~P10(x9003,x9001,x9002)+~E(x9001,x9002)+~P45(x9003) % 5.99/5.93 [954]P9(x9541,x9543,x9542)+~P42(x9541)+P10(x9541,x9542,x9543) % 5.99/5.93 [956]P9(x9561,x9563,x9562)+~P42(x9561)+P9(x9561,x9562,x9563) % 5.99/5.93 [1027]~P40(x10271)+~P10(x10271,x10272,x10273)+P9(x10271,x10272,x10273) % 5.99/5.93 [1029]~P45(x10291)+~P10(x10291,x10292,x10293)+P9(x10291,x10292,x10293) % 5.99/5.93 [1093]~P10(x10931,x10933,x10932)+~P40(x10931)+~P10(x10931,x10932,x10933) % 5.99/5.93 [1094]~P9(x10941,x10943,x10942)+~P40(x10941)+~P10(x10941,x10942,x10943) % 5.99/5.93 [1095]~P10(x10951,x10953,x10952)+~P42(x10951)+~P10(x10951,x10952,x10953) % 5.99/5.93 [1098]~P9(x10981,x10983,x10982)+~P42(x10981)+~P10(x10981,x10982,x10983) % 5.99/5.93 [1099]~P10(x10991,x10993,x10992)+~P45(x10991)+~P10(x10991,x10992,x10993) % 5.99/5.93 [1210]~P9(a1,x12101,x12103)+P9(a1,x12101,x12102)+~P9(a1,x12103,x12102) % 5.99/5.93 [1211]~P9(a69,x12111,x12113)+P9(a69,x12111,x12112)+~P9(a69,x12113,x12112) % 5.99/5.93 [1212]~P9(a70,x12121,x12123)+P9(a70,x12121,x12122)+~P9(a70,x12123,x12122) % 5.99/5.93 [722]~P24(x7222)+~E(x7223,f10(x7222,x7221))+E(x7221,f10(x7222,x7223)) % 5.99/5.93 [724]~P24(x7241)+~E(f10(x7241,x7243),x7242)+E(f10(x7241,x7242),x7243) % 5.99/5.93 [729]~P46(x7293)+E(x7291,x7292)+~E(f29(x7293,x7291),f29(x7293,x7292)) % 5.99/5.93 [730]~P24(x7303)+E(x7301,x7302)+~E(f10(x7303,x7301),f10(x7303,x7302)) % 5.99/5.93 [731]~P43(x7313)+E(x7311,x7312)+~E(f10(x7313,x7311),f10(x7313,x7312)) % 5.99/5.93 [733]~P55(x7333)+E(x7331,x7332)+~E(f26(x7333,x7331),f26(x7333,x7332)) % 5.99/5.93 [788]~E(x7882,x7883)+~P24(x7881)+E(f9(x7881,x7882,x7883),f3(x7881)) % 5.99/5.93 [789]~E(x7892,x7893)+~P16(x7891)+E(f9(x7891,x7892,x7893),f3(x7891)) % 5.99/5.93 [800]~P81(x8001)+~E(x8003,f3(x8001))+E(f12(x8001,x8002,x8003),x8002) % 5.99/5.93 [801]~E(x8012,x8013)+~P50(x8011)+P9(f72(x8011),x8012,x8013) % 5.99/5.93 [862]~P24(x8621)+~E(x8623,f10(x8621,x8622))+E(f12(x8621,x8622,x8623),f3(x8621)) % 5.99/5.93 [863]~P24(x8631)+~E(x8632,f10(x8631,x8633))+E(f12(x8631,x8632,x8633),f3(x8631)) % 5.99/5.93 [912]~P81(x9122)+~E(f12(x9122,x9123,x9121),x9123)+E(x9121,f3(x9122)) % 5.99/5.93 [915]~P24(x9153)+E(x9151,x9152)+~E(f9(x9153,x9151,x9152),f3(x9153)) % 5.99/5.93 [916]~P16(x9163)+E(x9161,x9162)+~E(f9(x9163,x9161,x9162),f3(x9163)) % 5.99/5.93 [921]~P50(x9211)+P13(x9211,x9212,x9213)+~E(f8(x9211,x9212),f8(x9211,x9213)) % 5.99/5.93 [946]~P24(x9462)+~E(f12(x9462,x9463,x9461),f3(x9462))+E(x9461,f10(x9462,x9463)) % 5.99/5.93 [947]~P24(x9472)+~E(f12(x9472,x9471,x9473),f3(x9472))+E(x9471,f10(x9472,x9473)) % 5.99/5.93 [948]~P24(x9481)+~E(f12(x9481,x9482,x9483),f3(x9481))+E(f10(x9481,x9482),x9483) % 5.99/5.93 [1056]~P50(x10561)+~P12(x10561,x10563)+P12(x10561,f18(x10561,x10562,x10563)) % 5.99/5.93 [1080]~P54(x10801)+~P13(x10801,x10802,x10803)+P13(x10801,x10802,f10(x10801,x10803)) % 5.99/5.93 [1081]~P50(x10811)+~P13(x10811,x10812,x10813)+P13(x10811,x10812,f8(x10811,x10813)) % 5.99/5.93 [1082]~P54(x10821)+~P13(x10821,x10822,x10823)+P13(x10821,f10(x10821,x10822),x10823) % 5.99/5.93 [1083]~P50(x10831)+~P13(x10831,x10832,x10833)+P13(x10831,f8(x10831,x10832),x10833) % 5.99/5.93 [1128]~P50(x11281)+P13(x11281,x11282,x11283)+~P13(x11281,x11282,f8(x11281,x11283)) % 5.99/5.93 [1129]~P54(x11291)+P13(x11291,x11292,x11293)+~P13(x11291,x11292,f10(x11291,x11293)) % 5.99/5.93 [1130]~P50(x11301)+P10(x11301,x11302,x11303)+~P10(x11301,f8(x11301,x11302),x11303) % 5.99/5.93 [1132]~P30(x11321)+P9(x11321,x11322,x11323)+~P9(x11321,f8(x11321,x11322),x11323) % 5.99/5.93 [1133]~P50(x11331)+P13(x11331,x11332,x11333)+~P13(x11331,f8(x11331,x11332),x11333) % 5.99/5.93 [1134]~P54(x11341)+P13(x11341,x11342,x11343)+~P13(x11341,f10(x11341,x11342),x11343) % 5.99/5.93 [1163]~P32(x11631)+~P10(x11631,x11633,x11632)+P10(x11631,f10(x11631,x11632),f10(x11631,x11633)) % 5.99/5.93 [1165]~P32(x11651)+~P9(x11651,x11653,x11652)+P9(x11651,f10(x11651,x11652),f10(x11651,x11653)) % 5.99/5.93 [1167]~P43(x11671)+~P9(x11671,x11673,x11672)+P9(x11671,f10(x11671,x11672),f10(x11671,x11673)) % 5.99/5.93 [1195]~P32(x11951)+~P10(x11951,x11953,f10(x11951,x11952))+P10(x11951,x11952,f10(x11951,x11953)) % 5.99/5.93 [1197]~P32(x11971)+~P9(x11971,x11973,f10(x11971,x11972))+P9(x11971,x11972,f10(x11971,x11973)) % 5.99/5.93 [1199]~P32(x11991)+~P10(x11991,f10(x11991,x11993),x11992)+P10(x11991,f10(x11991,x11992),x11993) % 5.99/5.93 [1200]~P50(x12001)+~P10(x12001,f8(x12001,x12002),x12003)+P10(x12001,f10(x12001,x12002),x12003) % 5.99/5.93 [1202]~P32(x12021)+~P9(x12021,f10(x12021,x12023),x12022)+P9(x12021,f10(x12021,x12022),x12023) % 5.99/5.93 [1204]~P30(x12041)+~P9(x12041,f8(x12041,x12042),x12043)+P9(x12041,f10(x12041,x12042),x12043) % 5.99/5.93 [1215]~P9(a69,x12153,x12151)+~E(f9(a69,x12151,x12153),x12152)+E(x12151,f12(a69,x12152,x12153)) % 5.99/5.93 [1216]~P9(a69,x12162,x12161)+~E(x12161,f12(a69,x12163,x12162))+E(f9(a69,x12161,x12162),x12163) % 5.99/5.93 [1224]~P32(x12241)+P10(x12241,x12242,x12243)+~P10(x12241,f10(x12241,x12243),f10(x12241,x12242)) % 5.99/5.93 [1225]~P32(x12251)+P9(x12251,x12252,x12253)+~P9(x12251,f10(x12251,x12253),f10(x12251,x12252)) % 5.99/5.93 [1226]~P43(x12261)+P9(x12261,x12262,x12263)+~P9(x12261,f10(x12261,x12263),f10(x12261,x12262)) % 5.99/5.93 [1295]~P32(x12951)+~P10(x12951,x12952,x12953)+P10(x12951,f9(x12951,x12952,x12953),f3(x12951)) % 5.99/5.93 [1296]~P32(x12961)+~P9(x12961,x12962,x12963)+P9(x12961,f9(x12961,x12962,x12963),f3(x12961)) % 5.99/5.93 [1384]~P32(x13841)+P10(x13841,x13842,x13843)+~P10(x13841,f9(x13841,x13842,x13843),f3(x13841)) % 5.99/5.93 [1385]~P32(x13851)+P9(x13851,x13852,x13853)+~P9(x13851,f9(x13851,x13852,x13853),f3(x13851)) % 5.99/5.93 [1540]~P10(a69,x15403,x15401)+~P10(a69,x15403,x15402)+P10(a69,f9(a69,x15401,x15402),f9(a69,x15401,x15403)) % 5.99/5.93 [1541]~P10(a69,x15411,x15413)+~P9(a69,x15412,x15411)+P10(a69,f9(a69,x15411,x15412),f9(a69,x15413,x15412)) % 5.99/5.93 [1612]~P9(a69,x16123,x16122)+~P9(a69,f12(a69,x16121,x16123),x16122)+P9(a69,x16121,f9(a69,x16122,x16123)) % 5.99/5.93 [1613]~P9(a69,x16132,x16133)+~P9(a69,x16131,f9(a69,x16133,x16132))+P9(a69,f12(a69,x16131,x16132),x16133) % 5.99/5.93 [787]~P51(x7871)+~E(x7872,f3(f72(x7871)))+E(f54(f15(x7871,x7872),x7873),f3(x7871)) % 5.99/5.93 [823]~P51(x8231)+~E(x8232,f3(x8231))+E(f23(x8231,x8232,x8233),f3(f72(x8231))) % 5.99/5.93 [824]~P29(x8241)+~E(x8242,f3(x8241))+E(f16(x8241,x8242,x8243),f3(f72(x8241))) % 5.99/5.93 [865]~P51(x8651)+~E(x8653,f3(f72(x8651)))+E(f23(x8651,x8652,x8653),f3(f72(x8651))) % 5.99/5.93 [866]~P57(x8661)+~E(x8662,f3(f72(x8661)))+E(f7(x8661,x8662,x8663),f3(f72(x8661))) % 5.99/5.93 [930]~P51(x9301)+E(f19(x9301,x9302,x9303),f3(a69))+E(f54(f15(x9301,x9303),x9302),f3(x9301)) % 5.99/5.93 [943]~P29(x9432)+E(x9431,f3(x9432))+~E(f16(x9432,x9431,x9433),f3(f72(x9432))) % 5.99/5.93 [944]~P29(x9442)+E(x9441,f3(x9442))+~E(f18(x9442,x9441,x9443),f3(f72(x9442))) % 5.99/5.93 [967]~P57(x9672)+~E(f7(x9672,x9671,x9673),f3(f72(x9672)))+E(x9671,f3(f72(x9672))) % 5.99/5.93 [968]~P29(x9682)+~E(f18(x9682,x9683,x9681),f3(f72(x9682)))+E(x9681,f3(f72(x9682))) % 5.99/5.93 [1247]~P50(x12471)+~P10(f72(x12471),x12473,x12472)+P12(x12471,f9(f72(x12471),x12472,x12473)) % 5.99/5.93 [1321]~P50(x13211)+P10(f72(x13211),x13212,x13213)+~P12(x13211,f9(f72(x13211),x13213,x13212)) % 5.99/5.93 [1322]~P50(x13221)+P9(f72(x13221),x13222,x13223)+~P12(x13221,f9(f72(x13221),x13223,x13222)) % 5.99/5.93 [1536]E(x15361,f3(a1))+~P9(a1,x15362,f3(a1))+~P9(a1,f8(a1,x15361),f54(f54(f11(a1),x15362),f8(a1,x15363))) % 5.99/5.93 [1585]P10(a69,x15852,x15851)+E(f12(a69,x15851,f38(x15851,x15852,x15853)),x15852)+P82(f54(x15853,f9(a69,x15852,x15851))) % 5.99/5.93 [1586]P10(a69,x15862,x15861)+E(f12(a69,x15861,f39(x15861,x15862,x15863)),x15862)+P82(f54(x15863,f9(a69,x15862,x15861))) % 5.99/5.93 [1594]E(f12(a69,x15941,f38(x15941,x15942,x15943)),x15942)+P82(f54(x15943,f9(a69,x15942,x15941)))+~P82(f54(x15943,f3(a69))) % 5.99/5.93 [1595]E(f12(a69,x15951,f39(x15951,x15952,x15953)),x15952)+P82(f54(x15953,f9(a69,x15952,x15951)))+~P82(f54(x15953,f3(a69))) % 5.99/5.93 [1602]~P9(a69,x16022,x16023)+~P9(a69,x16022,x16021)+E(f9(a69,f9(a69,x16021,x16022),f9(a69,x16023,x16022)),f9(a69,x16021,x16023)) % 5.99/5.93 [1617]~P10(a69,x16172,x16173)+~P82(f54(x16171,f9(a69,x16172,x16173)))+P82(f54(x16171,f3(a69))) % 5.99/5.93 [1716]P10(a69,x17161,x17162)+~P82(f54(x17163,f38(x17162,x17161,x17163)))+P82(f54(x17163,f9(a69,x17161,x17162))) % 5.99/5.93 [1717]P10(a69,x17171,x17172)+~P82(f54(x17173,f39(x17172,x17171,x17173)))+P82(f54(x17173,f9(a69,x17171,x17172))) % 5.99/5.93 [1719]~P82(f54(x17191,f38(x17193,x17192,x17191)))+P82(f54(x17191,f9(a69,x17192,x17193)))+~P82(f54(x17191,f3(a69))) % 5.99/5.93 [1720]~P82(f54(x17201,f39(x17203,x17202,x17201)))+P82(f54(x17201,f9(a69,x17202,x17203)))+~P82(f54(x17201,f3(a69))) % 5.99/5.93 [790]~P28(x7901)+~E(x7903,f3(a69))+E(f54(f54(f21(x7901),x7902),x7903),f4(x7901)) % 5.99/5.93 [802]~P80(x8021)+~E(x8023,f3(x8021))+E(f54(f54(f11(x8021),x8022),x8023),f3(x8021)) % 5.99/5.93 [803]~P80(x8031)+~E(x8032,f3(x8031))+E(f54(f54(f11(x8031),x8032),x8033),f3(x8031)) % 5.99/5.93 [914]~P63(x9142)+E(x9141,f3(x9142))+~E(f54(f54(f21(x9142),x9141),x9143),f3(x9142)) % 5.99/5.93 [934]~P56(x9341)+E(f26(x9341,x9342),x9343)+~E(f54(f54(f11(x9341),x9342),x9343),f4(x9341)) % 5.99/5.93 [989]~P51(x9891)+~E(x9892,f10(x9891,x9893))+E(f54(f54(f11(x9891),x9892),x9892),f54(f54(f11(x9891),x9893),x9893)) % 5.99/5.93 [1047]E(x10471,x10472)+E(x10473,f3(a1))+~E(f54(f54(f11(a1),x10473),x10471),f54(f54(f11(a1),x10473),x10472)) % 5.99/5.93 [1049]E(x10491,x10492)+E(x10493,f3(a69))+~E(f54(f54(f11(a69),x10493),x10491),f54(f54(f11(a69),x10493),x10492)) % 5.99/5.93 [1050]E(x10501,x10502)+E(x10503,f3(a1))+~E(f54(f54(f11(a1),x10501),x10503),f54(f54(f11(a1),x10502),x10503)) % 5.99/5.93 [1051]E(x10511,x10512)+E(x10513,f3(a69))+~E(f54(f54(f11(a69),x10511),x10513),f54(f54(f11(a69),x10512),x10513)) % 5.99/5.93 [1245]E(x12451,x12452)+~P10(a69,f3(a69),x12453)+~E(f54(f54(f11(a69),x12453),x12451),f54(f54(f11(a69),x12453),x12452)) % 5.99/5.93 [1304]~P49(x13041)+~P10(x13041,f3(x13041),x13042)+P10(x13041,f3(x13041),f54(f54(f21(x13041),x13042),x13043)) % 5.99/5.93 [1305]~P49(x13051)+~P9(x13051,f3(x13051),x13052)+P9(x13051,f3(x13051),f54(f54(f21(x13051),x13052),x13053)) % 5.99/5.93 [1306]~P49(x13061)+~P9(x13061,f4(x13061),x13062)+P9(x13061,f4(x13061),f54(f54(f21(x13061),x13062),x13063)) % 5.99/5.93 [1502]~P10(a1,x15021,x15023)+~P10(a1,f3(a1),x15022)+P10(a1,f54(f54(f11(a1),x15021),x15022),f54(f54(f11(a1),x15023),x15022)) % 5.99/5.93 [1503]~P10(a1,x15032,x15033)+~P10(a1,f3(a1),x15031)+P10(a1,f54(f54(f11(a1),x15031),x15032),f54(f54(f11(a1),x15031),x15033)) % 5.99/5.93 [1507]~P10(a69,x15071,x15073)+~P10(a69,f3(a69),x15072)+P10(a69,f54(f54(f11(a69),x15071),x15072),f54(f54(f11(a69),x15073),x15072)) % 5.99/5.93 [1508]~P10(a69,x15082,x15083)+~P10(a69,f3(a69),x15081)+P10(a69,f54(f54(f11(a69),x15081),x15082),f54(f54(f11(a69),x15081),x15083)) % 5.99/5.93 [1509]~P10(a70,x15092,x15093)+~P10(a70,f3(a70),x15091)+P10(a70,f54(f54(f11(a70),x15091),x15092),f54(f54(f11(a70),x15091),x15093)) % 5.99/5.93 [1510]~P9(a1,x15102,x15103)+~P10(a1,f3(a1),x15101)+P9(a1,f54(f54(f11(a1),x15101),x15102),f54(f54(f11(a1),x15101),x15103)) % 5.99/5.93 [1511]~P9(a1,x15111,x15113)+~P10(a1,f3(a1),x15112)+P9(a1,f54(f54(f11(a1),x15111),x15112),f54(f54(f11(a1),x15113),x15112)) % 5.99/5.93 [1626]P10(a1,x16261,x16262)+~P10(a1,f3(a1),x16263)+~P10(a1,f54(f54(f11(a1),x16261),x16263),f54(f54(f11(a1),x16262),x16263)) % 5.99/5.93 [1627]P10(a69,x16271,x16272)+~P10(a69,f3(a69),x16273)+~P10(a69,f54(f54(f21(a69),x16273),x16271),f54(f54(f21(a69),x16273),x16272)) % 5.99/5.93 [1629]P9(a1,x16291,x16292)+~P10(a1,f3(a1),x16293)+~P9(a1,f54(f54(f11(a1),x16293),x16291),f54(f54(f11(a1),x16293),x16292)) % 5.99/5.93 [1630]P9(a1,x16301,x16302)+~P10(a1,f3(a1),x16303)+~P9(a1,f54(f54(f11(a1),x16301),x16303),f54(f54(f11(a1),x16302),x16303)) % 5.99/5.93 [1632]P9(a69,x16321,x16322)+~P10(a69,f3(a69),x16323)+~P9(a69,f54(f54(f11(a69),x16323),x16321),f54(f54(f11(a69),x16323),x16322)) % 5.99/5.93 [1633]P9(a69,x16331,x16332)+~P10(a69,f3(a69),x16333)+~P9(a69,f54(f54(f11(a69),x16331),x16333),f54(f54(f11(a69),x16332),x16333)) % 5.99/5.93 [1229]~P56(x12292)+E(x12291,f3(x12292))+E(f54(f54(f21(x12292),f26(x12292,x12291)),x12293),f26(x12292,f54(f54(f21(x12292),x12291),x12293))) % 5.99/5.93 [1378]~P50(x13781)+~P9(x13781,f3(x13781),x13783)+E(f54(f54(f11(x13781),f8(x13781,x13782)),x13783),f8(x13781,f54(f54(f11(x13781),x13782),x13783))) % 5.99/5.93 [1537]~P62(x15372)+E(x15371,f3(x15372))+~E(f12(x15372,f54(f54(f11(x15372),x15373),x15373),f54(f54(f11(x15372),x15371),x15371)),f3(x15372)) % 5.99/5.93 [1538]~P62(x15382)+E(x15381,f3(x15382))+~E(f12(x15382,f54(f54(f11(x15382),x15381),x15381),f54(f54(f11(x15382),x15383),x15383)),f3(x15382)) % 5.99/5.93 [1545]~P28(x15452)+E(x15451,f3(a69))+E(f54(f54(f11(x15452),x15453),f54(f54(f21(x15452),x15453),f9(a69,x15451,f4(a69)))),f54(f54(f21(x15452),x15453),x15451)) % 5.99/5.93 [1601]~P49(x16011)+~P10(x16011,f4(x16011),x16012)+P10(x16011,f4(x16011),f54(f54(f11(x16011),x16012),f54(f54(f21(x16011),x16012),x16013))) % 5.99/5.93 [1688]~P49(x16881)+~P10(x16881,f4(x16881),x16882)+P10(x16881,f54(f54(f21(x16881),x16882),x16883),f54(f54(f11(x16881),x16882),f54(f54(f21(x16881),x16882),x16883))) % 5.99/5.93 [1692]~P62(x16922)+E(x16921,f3(x16922))+P10(x16922,f3(x16922),f12(x16922,f54(f54(f11(x16922),x16923),x16923),f54(f54(f11(x16922),x16921),x16921))) % 5.99/5.93 [1693]~P62(x16932)+E(x16931,f3(x16932))+P10(x16932,f3(x16932),f12(x16932,f54(f54(f11(x16932),x16931),x16931),f54(f54(f11(x16932),x16933),x16933))) % 5.99/5.93 [1741]~P62(x17412)+E(x17411,f3(x17412))+~P9(x17412,f12(x17412,f54(f54(f11(x17412),x17413),x17413),f54(f54(f11(x17412),x17411),x17411)),f3(x17412)) % 5.99/5.93 [1742]~P62(x17422)+E(x17421,f3(x17422))+~P9(x17422,f12(x17422,f54(f54(f11(x17422),x17421),x17421),f54(f54(f11(x17422),x17423),x17423)),f3(x17422)) % 5.99/5.93 [1735]~P4(x17351)+~P10(a69,f3(a69),x17353)+E(f54(f54(f11(x17351),f54(f54(f21(x17351),x17352),f9(a69,x17353,f4(a69)))),x17352),f54(f54(f21(x17351),x17352),x17353)) % 5.99/5.93 [1102]~P20(x11023)+E(x11021,x11022)+~E(f12(x11023,x11024,x11021),f12(x11023,x11024,x11022)) % 5.99/5.93 [1103]~P21(x11033)+E(x11031,x11032)+~E(f12(x11033,x11034,x11031),f12(x11033,x11034,x11032)) % 5.99/5.93 [1105]~P20(x11053)+E(x11051,x11052)+~E(f12(x11053,x11051,x11054),f12(x11053,x11052,x11054)) % 5.99/5.93 [1106]~P29(x11063)+E(x11061,x11062)+~E(f16(x11063,x11061,x11064),f16(x11063,x11062,x11064)) % 5.99/5.93 [1205]~P41(x12052)+~P10(f77(x12051,x12052),x12053,x12054)+P9(f77(x12051,x12052),x12053,x12054) % 5.99/5.93 [1297]~P41(x12971)+~P9(f77(x12972,x12971),x12974,x12973)+~P10(f77(x12972,x12971),x12973,x12974) % 5.99/5.93 [1316]~P58(x13161)+~P13(f72(x13161),x13162,x13164)+P13(f72(x13161),x13162,f23(x13161,x13163,x13164)) % 5.99/5.93 [1358]~P10(a69,x13583,x13584)+P10(a69,x13581,x13582)+~E(f12(a69,x13583,x13582),f12(a69,x13581,x13584)) % 5.99/5.93 [1404]~P58(x14041)+~P13(f72(x14041),f23(x14041,x14044,x14042),x14043)+P13(f72(x14041),x14042,x14043) % 5.99/5.93 [1438]~P33(x14381)+~P10(x14381,x14383,x14384)+P10(x14381,f12(x14381,x14382,x14383),f12(x14381,x14382,x14384)) % 5.99/5.93 [1439]~P35(x14391)+~P10(x14391,x14393,x14394)+P10(x14391,f12(x14391,x14392,x14393),f12(x14391,x14392,x14394)) % 5.99/5.93 [1440]~P33(x14401)+~P10(x14401,x14402,x14404)+P10(x14401,f12(x14401,x14402,x14403),f12(x14401,x14404,x14403)) % 5.99/5.93 [1441]~P35(x14411)+~P10(x14411,x14412,x14414)+P10(x14411,f12(x14411,x14412,x14413),f12(x14411,x14414,x14413)) % 5.99/5.93 [1442]~P33(x14421)+~P9(x14421,x14423,x14424)+P9(x14421,f12(x14421,x14422,x14423),f12(x14421,x14422,x14424)) % 5.99/5.93 [1443]~P34(x14431)+~P9(x14431,x14433,x14434)+P9(x14431,f12(x14431,x14432,x14433),f12(x14431,x14432,x14434)) % 5.99/5.93 [1444]~P33(x14441)+~P9(x14441,x14442,x14444)+P9(x14441,f12(x14441,x14442,x14443),f12(x14441,x14444,x14443)) % 5.99/5.93 [1445]~P34(x14451)+~P9(x14451,x14452,x14454)+P9(x14451,f12(x14451,x14452,x14453),f12(x14451,x14454,x14453)) % 5.99/5.93 [1539]~P10(a69,x15392,x15394)+~P10(a69,x15391,x15393)+P10(a69,f12(a69,x15391,x15392),f12(a69,x15393,x15394)) % 5.99/5.93 [1542]~P10(a70,x15421,x15423)+~P9(a70,x15422,x15424)+P10(a70,f12(a70,x15421,x15422),f12(a70,x15423,x15424)) % 5.99/5.93 [1543]~P9(a69,x15432,x15434)+~P9(a69,x15431,x15433)+P9(a69,f12(a69,x15431,x15432),f12(a69,x15433,x15434)) % 5.99/5.93 [1604]~P33(x16041)+P10(x16041,x16042,x16043)+~P10(x16041,f12(x16041,x16044,x16042),f12(x16041,x16044,x16043)) % 5.99/5.93 [1606]~P33(x16061)+P10(x16061,x16062,x16063)+~P10(x16061,f12(x16061,x16062,x16064),f12(x16061,x16063,x16064)) % 5.99/5.93 [1608]~P33(x16081)+P9(x16081,x16082,x16083)+~P9(x16081,f12(x16081,x16084,x16082),f12(x16081,x16084,x16083)) % 5.99/5.93 [1610]~P33(x16101)+P9(x16101,x16102,x16103)+~P9(x16101,f12(x16101,x16102,x16104),f12(x16101,x16103,x16104)) % 5.99/5.93 [1138]~P57(x11382)+~E(f18(x11382,x11383,x11381),f23(x11382,x11384,x11381))+E(x11381,f3(f72(x11382))) % 5.99/5.93 [1599]~P57(x15992)+~E(f12(f72(x15992),f23(x15992,x15993,x15991),f18(x15992,x15994,x15991)),f3(f72(x15992)))+E(x15991,f3(f72(x15992))) % 5.99/5.93 [1615]~E(x16153,f12(a69,x16154,x16152))+P82(f54(x16151,x16152))+~P82(f54(x16151,f9(a69,x16153,x16154))) % 5.99/5.93 [1708]~P50(x17081)+P10(x17081,x17082,f12(x17081,x17083,x17084))+~P10(x17081,f8(x17081,f9(x17081,x17082,x17083)),x17084) % 5.99/5.93 [1709]~P50(x17091)+P10(x17091,f9(x17091,x17092,x17093),x17094)+~P10(x17091,f8(x17091,f9(x17091,x17094,x17092)),x17093) % 5.99/5.93 [1801]~P41(x18012)+P9(f77(x18011,x18012),x18013,x18014)+~P9(x18012,f54(x18013,f47(x18014,x18013,x18011,x18012)),f54(x18014,f47(x18014,x18013,x18011,x18012))) % 5.99/5.93 [1362]~P58(x13621)+P13(x13621,x13622,x13623)+~P13(x13621,f54(f54(f11(x13621),x13624),x13622),x13623) % 5.99/5.93 [1433]~P58(x14331)+~P13(x14331,x14332,x14334)+P13(x14331,f54(f54(f21(x14331),x14332),x14333),f54(f54(f21(x14331),x14334),x14333)) % 5.99/5.93 [1496]~P9(a69,x14962,x14964)+~P9(a69,x14961,x14963)+P9(a69,f54(f54(f11(a69),x14961),x14962),f54(f54(f11(a69),x14963),x14964)) % 5.99/5.93 [1107]~P29(x11073)+E(x11071,x11072)+~E(f18(x11073,x11074,x11071),f18(x11073,x11075,x11072)) % 5.99/5.93 [1108]~P29(x11083)+E(x11081,x11082)+~E(f18(x11083,x11081,x11084),f18(x11083,x11082,x11085)) % 5.99/5.93 [1262]~P41(x12621)+P9(x12621,f54(x12622,x12623),f54(x12624,x12623))+~P9(f77(x12625,x12621),x12622,x12624) % 5.99/5.93 [1490]~P57(x14902)+~E(f12(f72(x14902),x14903,f23(x14902,x14904,x14905)),f18(x14902,x14901,x14905))+E(x14901,f54(f15(x14902,x14903),x14904)) % 5.99/5.93 [1517]~P57(x15172)+E(x15171,f24(x15172,x15173,x15174))+~E(f12(f72(x15172),x15173,f23(x15172,x15174,x15171)),f18(x15172,x15175,x15171)) % 5.99/5.93 [1647]~E(x16472,x16474)+~P81(x16471)+E(f12(x16471,f54(f54(f11(x16471),x16472),x16473),f54(f54(f11(x16471),x16474),x16475)),f12(x16471,f54(f54(f11(x16471),x16472),x16475),f54(f54(f11(x16471),x16474),x16473))) % 5.99/5.93 [1755]~P9(a69,x17553,x17552)+E(x17551,f12(a69,f54(f54(f11(a69),f9(a69,x17552,x17553)),x17554),x17555))+~E(f12(a69,f54(f54(f11(a69),x17553),x17554),x17551),f12(a69,f54(f54(f11(a69),x17552),x17554),x17555)) % 5.99/5.93 [1756]~P9(a69,x17562,x17561)+E(f12(a69,f54(f54(f11(a69),f9(a69,x17561,x17562)),x17563),x17564),x17565)+~E(f12(a69,f54(f54(f11(a69),x17561),x17563),x17564),f12(a69,f54(f54(f11(a69),x17562),x17563),x17565)) % 5.99/5.93 [1764]~P9(a69,x17644,x17641)+~E(x17645,f12(a69,f54(f54(f11(a69),f9(a69,x17641,x17644)),x17642),x17643))+E(f12(a69,f54(f54(f11(a69),x17641),x17642),x17643),f12(a69,f54(f54(f11(a69),x17644),x17642),x17645)) % 5.99/5.93 [1765]~P9(a69,x17654,x17651)+~E(f12(a69,f54(f54(f11(a69),f9(a69,x17651,x17654)),x17652),x17653),x17655)+E(f12(a69,f54(f54(f11(a69),x17651),x17652),x17653),f12(a69,f54(f54(f11(a69),x17654),x17652),x17655)) % 5.99/5.93 [1782]~P9(a69,x17823,x17822)+P10(a69,x17821,f12(a69,f54(f54(f11(a69),f9(a69,x17822,x17823)),x17824),x17825))+~P10(a69,f12(a69,f54(f54(f11(a69),x17823),x17824),x17821),f12(a69,f54(f54(f11(a69),x17822),x17824),x17825)) % 5.99/5.93 [1783]~P9(a69,x17833,x17832)+P9(a69,x17831,f12(a69,f54(f54(f11(a69),f9(a69,x17832,x17833)),x17834),x17835))+~P9(a69,f12(a69,f54(f54(f11(a69),x17833),x17834),x17831),f12(a69,f54(f54(f11(a69),x17832),x17834),x17835)) % 5.99/5.93 [1784]~P9(a69,x17842,x17841)+P10(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17841,x17842)),x17843),x17844),x17845)+~P10(a69,f12(a69,f54(f54(f11(a69),x17841),x17843),x17844),f12(a69,f54(f54(f11(a69),x17842),x17843),x17845)) % 5.99/5.93 [1785]~P9(a69,x17852,x17851)+P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17851,x17852)),x17853),x17854),x17855)+~P9(a69,f12(a69,f54(f54(f11(a69),x17851),x17853),x17854),f12(a69,f54(f54(f11(a69),x17852),x17853),x17855)) % 5.99/5.93 [1791]~P9(a69,x17911,x17914)+~P10(a69,x17913,f12(a69,f54(f54(f11(a69),f9(a69,x17914,x17911)),x17912),x17915))+P10(a69,f12(a69,f54(f54(f11(a69),x17911),x17912),x17913),f12(a69,f54(f54(f11(a69),x17914),x17912),x17915)) % 5.99/5.93 [1792]~P9(a69,x17921,x17924)+~P9(a69,x17923,f12(a69,f54(f54(f11(a69),f9(a69,x17924,x17921)),x17922),x17925))+P9(a69,f12(a69,f54(f54(f11(a69),x17921),x17922),x17923),f12(a69,f54(f54(f11(a69),x17924),x17922),x17925)) % 5.99/5.93 [1793]~P9(a69,x17934,x17931)+~P10(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17931,x17934)),x17932),x17933),x17935)+P10(a69,f12(a69,f54(f54(f11(a69),x17931),x17932),x17933),f12(a69,f54(f54(f11(a69),x17934),x17932),x17935)) % 5.99/5.93 [1794]~P9(a69,x17944,x17941)+~P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,x17941,x17944)),x17942),x17943),x17945)+P9(a69,f12(a69,f54(f54(f11(a69),x17941),x17942),x17943),f12(a69,f54(f54(f11(a69),x17944),x17942),x17945)) % 5.99/5.93 [1753]~P70(x17532)+~E(f12(x17532,f54(f54(f11(x17532),x17534),x17535),x17531),f12(x17532,f54(f54(f11(x17532),x17533),x17535),x17536))+E(x17531,f12(x17532,f54(f54(f11(x17532),f9(x17532,x17533,x17534)),x17535),x17536)) % 5.99/5.93 [1754]~P70(x17541)+~E(f12(x17541,f54(f54(f11(x17541),x17542),x17544),x17545),f12(x17541,f54(f54(f11(x17541),x17543),x17544),x17546))+E(f12(x17541,f54(f54(f11(x17541),f9(x17541,x17542,x17543)),x17544),x17545),x17546) % 5.99/5.93 [1762]~P70(x17621)+~E(x17626,f12(x17621,f54(f54(f11(x17621),f9(x17621,x17622,x17625)),x17623),x17624))+E(f12(x17621,f54(f54(f11(x17621),x17622),x17623),x17624),f12(x17621,f54(f54(f11(x17621),x17625),x17623),x17626)) % 5.99/5.93 [1763]~P70(x17631)+~E(f12(x17631,f54(f54(f11(x17631),f9(x17631,x17632,x17635)),x17633),x17634),x17636)+E(f12(x17631,f54(f54(f11(x17631),x17632),x17633),x17634),f12(x17631,f54(f54(f11(x17631),x17635),x17633),x17636)) % 5.99/5.93 [1786]~P72(x17861)+~P10(x17861,f12(x17861,f54(f54(f11(x17861),x17864),x17865),x17862),f12(x17861,f54(f54(f11(x17861),x17863),x17865),x17866))+P10(x17861,x17862,f12(x17861,f54(f54(f11(x17861),f9(x17861,x17863,x17864)),x17865),x17866)) % 5.99/5.93 [1787]~P72(x17871)+~P9(x17871,f12(x17871,f54(f54(f11(x17871),x17874),x17875),x17872),f12(x17871,f54(f54(f11(x17871),x17873),x17875),x17876))+P9(x17871,x17872,f12(x17871,f54(f54(f11(x17871),f9(x17871,x17873,x17874)),x17875),x17876)) % 5.99/5.93 [1788]~P72(x17881)+~P10(x17881,f12(x17881,f54(f54(f11(x17881),x17882),x17884),x17885),f12(x17881,f54(f54(f11(x17881),x17883),x17884),x17886))+P10(x17881,f12(x17881,f54(f54(f11(x17881),f9(x17881,x17882,x17883)),x17884),x17885),x17886) % 5.99/5.93 [1789]~P72(x17891)+~P9(x17891,f12(x17891,f54(f54(f11(x17891),x17892),x17894),x17895),f12(x17891,f54(f54(f11(x17891),x17893),x17894),x17896))+P9(x17891,f12(x17891,f54(f54(f11(x17891),f9(x17891,x17892,x17893)),x17894),x17895),x17896) % 5.99/5.93 [1795]~P72(x17951)+~P10(x17951,x17954,f12(x17951,f54(f54(f11(x17951),f9(x17951,x17955,x17952)),x17953),x17956))+P10(x17951,f12(x17951,f54(f54(f11(x17951),x17952),x17953),x17954),f12(x17951,f54(f54(f11(x17951),x17955),x17953),x17956)) % 5.99/5.93 [1796]~P72(x17961)+~P9(x17961,x17964,f12(x17961,f54(f54(f11(x17961),f9(x17961,x17965,x17962)),x17963),x17966))+P9(x17961,f12(x17961,f54(f54(f11(x17961),x17962),x17963),x17964),f12(x17961,f54(f54(f11(x17961),x17965),x17963),x17966)) % 5.99/5.93 [1797]~P72(x17971)+~P10(x17971,f12(x17971,f54(f54(f11(x17971),f9(x17971,x17972,x17975)),x17973),x17974),x17976)+P10(x17971,f12(x17971,f54(f54(f11(x17971),x17972),x17973),x17974),f12(x17971,f54(f54(f11(x17971),x17975),x17973),x17976)) % 5.99/5.93 [1798]~P72(x17981)+~P9(x17981,f12(x17981,f54(f54(f11(x17981),f9(x17981,x17982,x17985)),x17983),x17984),x17986)+P9(x17981,f12(x17981,f54(f54(f11(x17981),x17982),x17983),x17984),f12(x17981,f54(f54(f11(x17981),x17985),x17983),x17986)) % 5.99/5.93 [980]~P38(x9802)+~P10(x9802,f3(x9802),x9801)+E(f13(x9802,x9801),f4(x9802))+E(x9801,f3(x9802)) % 5.99/5.93 [1188]~P15(x11882)+~P10(x11882,f26(x11882,x11881),f3(x11882))+P10(x11882,x11881,f3(x11882))+E(x11881,f3(x11882)) % 5.99/5.93 [1189]~P15(x11892)+~P10(x11892,f3(x11892),f26(x11892,x11891))+P10(x11892,f3(x11892),x11891)+E(x11891,f3(x11892)) % 5.99/5.93 [1302]~P6(x13021)+P10(x13021,f4(x13021),x13022)+~P10(x13021,f26(x13021,x13022),f4(x13021))+P9(x13021,x13022,f3(x13021)) % 5.99/5.93 [1303]~P6(x13031)+P9(x13031,f4(x13031),x13032)+~P9(x13031,f26(x13031,x13032),f4(x13031))+P9(x13031,x13032,f3(x13031)) % 5.99/5.93 [1328]~P6(x13281)+~P10(x13281,x13282,f4(x13281))+~P10(x13281,f3(x13281),x13282)+P10(x13281,f4(x13281),f26(x13281,x13282)) % 5.99/5.93 [1329]~P15(x13291)+~P10(x13291,x13292,f4(x13291))+~P10(x13291,f3(x13291),x13292)+P10(x13291,f4(x13291),f26(x13291,x13292)) % 5.99/5.93 [1330]~P6(x13301)+~P9(x13301,x13302,f4(x13301))+~P10(x13301,f3(x13301),x13302)+P9(x13301,f4(x13301),f26(x13301,x13302)) % 5.99/5.93 [1331]~P15(x13311)+~P9(x13311,x13312,f4(x13311))+~P10(x13311,f3(x13311),x13312)+P9(x13311,f4(x13311),f26(x13311,x13312)) % 5.99/5.93 [838]P12(x8382,x8381)+~P50(x8382)+P12(x8382,f10(f72(x8382),x8381))+E(x8381,f3(f72(x8382))) % 5.99/5.93 [929]~P38(x9292)+P10(x9292,f3(x9292),x9291)+E(x9291,f3(x9292))+E(f13(x9292,x9291),f10(x9292,f4(x9292))) % 5.99/5.93 [1079]~P50(x10792)+~P10(f72(x10792),f3(f72(x10792)),x10791)+E(f13(f72(x10792),x10791),f4(f72(x10792)))+E(x10791,f3(f72(x10792))) % 5.99/5.93 [839]~P28(x8392)+~P78(x8392)+E(x8391,f3(a69))+E(f54(f54(f21(x8392),f3(x8392)),x8391),f3(x8392)) % 5.99/5.93 [975]~P63(x9752)+E(x9751,f4(x9752))+E(x9751,f10(x9752,f4(x9752)))+~E(f54(f54(f11(x9752),x9751),x9751),f4(x9752)) % 5.99/5.93 [1033]~E(x10332,f4(a70))+~E(x10331,f4(a70))+~P10(a70,f3(a70),x10331)+E(f54(f54(f11(a70),x10331),x10332),f4(a70)) % 5.99/5.93 [1062]~P50(x10622)+P10(f72(x10622),f3(f72(x10622)),x10621)+E(x10621,f3(f72(x10622)))+E(f13(f72(x10622),x10621),f10(f72(x10622),f4(f72(x10622)))) % 5.99/5.93 [1739]~P10(a1,x17392,x17391)+~P9(a1,x17391,f4(a1))+~P9(a1,f3(a1),x17392)+P10(a1,f12(a1,f8(a1,f9(a1,f4(a1),x17391)),x17392),f4(a1)) % 5.99/5.93 [960]P10(x9603,x9601,x9602)+~P50(x9603)+E(x9601,x9602)+P10(x9603,x9602,x9601) % 5.99/5.93 [966]P10(x9663,x9661,x9662)+~P42(x9663)+E(x9661,x9662)+P10(x9663,x9662,x9661) % 5.99/5.93 [969]P9(x9691,x9692,x9693)+~E(x9692,x9693)+~P42(x9691)+P10(x9691,x9692,x9693) % 5.99/5.93 [1036]~P45(x10363)+~P9(x10363,x10362,x10361)+E(x10361,x10362)+P10(x10363,x10362,x10361) % 5.99/5.93 [1038]~P42(x10383)+~P9(x10383,x10381,x10382)+E(x10381,x10382)+P10(x10383,x10381,x10382) % 5.99/5.93 [1044]~P45(x10443)+~P9(x10443,x10441,x10442)+E(x10441,x10442)+P10(x10443,x10441,x10442) % 5.99/5.93 [1114]~P9(x11143,x11142,x11141)+~P9(x11143,x11141,x11142)+E(x11141,x11142)+~P45(x11143) % 5.99/5.93 [1171]P9(x11711,x11713,x11712)+~P40(x11711)+~P9(x11711,x11712,x11713)+P10(x11711,x11712,x11713) % 5.99/5.93 [755]~P51(x7553)+~P39(x7553)+E(x7551,x7552)+~E(f15(x7553,x7551),f15(x7553,x7552)) % 5.99/5.93 [1318]~P50(x13181)+P12(x13181,x13182)+P10(x13181,f3(x13181),x13183)+~P12(x13181,f18(x13181,x13183,x13182)) % 5.99/5.93 [1341]~P15(x13411)+~P10(x13411,x13413,x13412)+~P10(x13411,x13412,f3(x13411))+P10(x13411,f26(x13411,x13412),f26(x13411,x13413)) % 5.99/5.93 [1342]~P15(x13421)+~P9(x13421,x13423,x13422)+~P10(x13421,x13422,f3(x13421))+P9(x13421,f26(x13421,x13422),f26(x13421,x13423)) % 5.99/5.93 [1343]~P15(x13431)+~P10(x13431,x13433,x13432)+~P10(x13431,f3(x13431),x13433)+P10(x13431,f26(x13431,x13432),f26(x13431,x13433)) % 5.99/5.93 [1344]~P15(x13441)+~P9(x13441,x13443,x13442)+~P10(x13441,f3(x13441),x13443)+P9(x13441,f26(x13441,x13442),f26(x13441,x13443)) % 5.99/5.93 [1353]~P50(x13531)+~P10(x13531,x13532,x13533)+~P10(x13531,f10(x13531,x13532),x13533)+P10(x13531,f8(x13531,x13532),x13533) % 5.99/5.93 [1355]~P30(x13551)+~P9(x13551,x13552,x13553)+~P9(x13551,f10(x13551,x13552),x13553)+P9(x13551,f8(x13551,x13552),x13553) % 5.99/5.93 [1386]~P15(x13861)+P10(x13861,x13862,x13863)+~P10(x13861,x13862,f3(x13861))+~P10(x13861,f26(x13861,x13863),f26(x13861,x13862)) % 5.99/5.93 [1387]~P15(x13871)+P9(x13871,x13872,x13873)+~P10(x13871,x13872,f3(x13871))+~P9(x13871,f26(x13871,x13873),f26(x13871,x13872)) % 5.99/5.93 [1388]~P15(x13881)+P10(x13881,x13882,x13883)+~P10(x13881,f3(x13881),x13883)+~P10(x13881,f26(x13881,x13883),f26(x13881,x13882)) % 5.99/5.93 [1389]~P15(x13891)+P9(x13891,x13892,x13893)+~P10(x13891,f3(x13891),x13893)+~P9(x13891,f26(x13891,x13893),f26(x13891,x13892)) % 5.99/5.93 [1408]E(x14081,x14082)+~P9(a69,x14083,x14082)+~P9(a69,x14083,x14081)+~E(f9(a69,x14081,x14083),f9(a69,x14082,x14083)) % 5.99/5.93 [1466]~P36(x14661)+~P10(x14661,f3(x14661),x14663)+~P10(x14661,f3(x14661),x14662)+P10(x14661,f3(x14661),f12(x14661,x14662,x14663)) % 5.99/5.93 [1470]~P36(x14701)+~P10(x14701,x14703,f3(x14701))+~P10(x14701,x14702,f3(x14701))+P10(x14701,f12(x14701,x14702,x14703),f3(x14701)) % 5.99/5.93 [1471]~P36(x14711)+~P10(x14711,x14713,f3(x14711))+~P9(x14711,x14712,f3(x14711))+P10(x14711,f12(x14711,x14712,x14713),f3(x14711)) % 5.99/5.93 [1472]~P36(x14721)+~P10(x14721,x14722,f3(x14721))+~P9(x14721,x14723,f3(x14721))+P10(x14721,f12(x14721,x14722,x14723),f3(x14721)) % 5.99/5.93 [1473]~P36(x14731)+~P9(x14731,x14733,f3(x14731))+~P9(x14731,x14732,f3(x14731))+P9(x14731,f12(x14731,x14732,x14733),f3(x14731)) % 5.99/5.93 [1706]~P9(a69,x17063,x17061)+P10(a69,x17061,x17062)+~P9(a69,x17063,x17062)+~P10(a69,f9(a69,x17061,x17063),f9(a69,x17062,x17063)) % 5.99/5.93 [1707]~P9(a69,x17073,x17071)+P9(a69,x17071,x17072)+~P9(a69,x17073,x17072)+~P9(a69,f9(a69,x17071,x17073),f9(a69,x17072,x17073)) % 5.99/5.93 [908]~P29(x9081)+~E(x9082,f3(x9081))+~E(x9083,f3(f72(x9081)))+E(f18(x9081,x9082,x9083),f3(f72(x9081))) % 5.99/5.93 [979]~P51(x9792)+E(x9791,f3(x9792))+~E(f23(x9792,x9791,x9793),f3(f72(x9792)))+E(x9793,f3(f72(x9792))) % 5.99/5.93 [1087]~P51(x10872)+~E(f19(x10872,x10873,x10871),f3(a69))+~E(f54(f15(x10872,x10871),x10873),f3(x10872))+E(x10871,f3(f72(x10872))) % 5.99/5.93 [1126]~P50(x11261)+~P12(x11261,x11263)+~P12(x11261,x11262)+P12(x11261,f12(f72(x11261),x11262,x11263)) % 5.99/5.93 [1217]P12(x12172,x12171)+~P50(x12172)+~P12(x12172,f18(x12172,x12173,x12171))+E(x12171,f3(f72(x12172))) % 5.99/5.93 [1250]~P50(x12503)+E(x12501,x12502)+~P9(f72(x12503),x12501,x12502)+P12(x12503,f9(f72(x12503),x12502,x12501)) % 5.99/5.93 [1268]~P50(x12681)+~P10(x12681,f3(x12681),x12682)+P12(x12681,f18(x12681,x12682,x12683))+~E(x12683,f3(f72(x12681))) % 5.99/5.93 [1476]~P48(x14761)+~P9(a1,x14763,f28(x14761,x14762))+~P10(a1,f3(a1),x14763)+P9(a1,f28(x14761,f26(x14761,x14762)),f26(a1,x14763)) % 5.99/5.93 [1749]~P56(x17492)+E(x17491,f3(x17492))+E(x17493,f3(x17492))+E(f54(f54(f11(x17492),f54(f54(f11(x17492),f26(x17492,x17493)),f12(x17492,x17493,x17491))),f26(x17492,x17491)),f12(x17492,f26(x17492,x17493),f26(x17492,x17491))) % 5.99/5.93 [1750]~P56(x17502)+E(x17501,f3(x17502))+E(x17503,f3(x17502))+E(f54(f54(f11(x17502),f54(f54(f11(x17502),f26(x17502,x17503)),f9(x17502,x17501,x17503))),f26(x17502,x17501)),f9(x17502,f26(x17502,x17503),f26(x17502,x17501))) % 5.99/5.93 [1768]~P8(x17682)+E(x17681,f3(x17682))+E(x17683,f3(x17682))+E(f54(f54(f11(x17682),f54(f54(f11(x17682),f12(x17682,x17683,x17681)),f26(x17682,x17683))),f26(x17682,x17681)),f12(x17682,f26(x17682,x17683),f26(x17682,x17681))) % 5.99/5.93 [923]~P69(x9232)+E(x9231,f3(x9232))+E(x9233,f3(x9232))+~E(f54(f54(f11(x9232),x9233),x9231),f3(x9232)) % 5.99/5.93 [924]~P80(x9242)+E(x9241,f3(x9242))+E(x9243,f3(x9242))+~E(f54(f54(f11(x9242),x9243),x9241),f3(x9242)) % 5.99/5.93 [1127]~P51(x11273)+E(x11271,x11272)+E(x11271,f10(x11273,x11272))+~E(f54(f54(f11(x11273),x11271),x11271),f54(f54(f11(x11273),x11272),x11272)) % 5.99/5.93 [1434]~P49(x14341)+~P10(x14341,f4(x14341),x14342)+~P10(a69,f3(a69),x14343)+P10(x14341,f4(x14341),f54(f54(f21(x14341),x14342),x14343)) % 5.99/5.93 [1446]~P62(x14461)+~P10(x14461,x14463,f3(x14461))+~P10(x14461,x14462,f3(x14461))+P10(x14461,f3(x14461),f54(f54(f11(x14461),x14462),x14463)) % 5.99/5.93 [1447]~P62(x14471)+~P9(x14471,x14473,f3(x14471))+~P9(x14471,x14472,f3(x14471))+P9(x14471,f3(x14471),f54(f54(f11(x14471),x14472),x14473)) % 5.99/5.93 [1449]~P72(x14491)+~P9(x14491,x14493,f3(x14491))+~P9(x14491,x14492,f3(x14491))+P9(x14491,f3(x14491),f54(f54(f11(x14491),x14492),x14493)) % 5.99/5.93 [1450]~P65(x14501)+~P10(x14501,f3(x14501),x14503)+~P10(x14501,f3(x14501),x14502)+P10(x14501,f3(x14501),f54(f54(f11(x14501),x14502),x14503)) % 5.99/5.93 [1451]~P49(x14511)+~P10(x14511,f4(x14511),x14513)+~P10(x14511,f4(x14511),x14512)+P10(x14511,f4(x14511),f54(f54(f11(x14511),x14512),x14513)) % 5.99/5.93 [1452]~P62(x14521)+~P9(x14521,f3(x14521),x14523)+~P9(x14521,f3(x14521),x14522)+P9(x14521,f3(x14521),f54(f54(f11(x14521),x14522),x14523)) % 5.99/5.93 [1453]~P71(x14531)+~P9(x14531,f3(x14531),x14533)+~P9(x14531,f3(x14531),x14532)+P9(x14531,f3(x14531),f54(f54(f11(x14531),x14532),x14533)) % 5.99/5.93 [1454]~P72(x14541)+~P9(x14541,f3(x14541),x14543)+~P9(x14541,f3(x14541),x14542)+P9(x14541,f3(x14541),f54(f54(f11(x14541),x14542),x14543)) % 5.99/5.93 [1456]~P65(x14561)+~P10(x14561,x14563,f3(x14561))+~P10(x14561,f3(x14561),x14562)+P10(x14561,f54(f54(f11(x14561),x14562),x14563),f3(x14561)) % 5.99/5.93 [1457]~P65(x14571)+~P10(x14571,x14572,f3(x14571))+~P10(x14571,f3(x14571),x14573)+P10(x14571,f54(f54(f11(x14571),x14572),x14573),f3(x14571)) % 5.99/5.93 [1459]~P62(x14591)+~P9(x14591,x14593,f3(x14591))+~P9(x14591,f3(x14591),x14592)+P9(x14591,f54(f54(f11(x14591),x14592),x14593),f3(x14591)) % 5.99/5.93 [1460]~P62(x14601)+~P9(x14601,x14602,f3(x14601))+~P9(x14601,f3(x14601),x14603)+P9(x14601,f54(f54(f11(x14601),x14602),x14603),f3(x14601)) % 5.99/5.93 [1462]~P71(x14621)+~P9(x14621,x14623,f3(x14621))+~P9(x14621,f3(x14621),x14622)+P9(x14621,f54(f54(f11(x14621),x14622),x14623),f3(x14621)) % 5.99/5.93 [1464]~P71(x14641)+~P9(x14641,x14642,f3(x14641))+~P9(x14641,f3(x14641),x14643)+P9(x14641,f54(f54(f11(x14641),x14642),x14643),f3(x14641)) % 5.99/5.93 [1480]~P62(x14801)+P9(x14801,x14802,f3(x14801))+P9(x14801,x14803,f3(x14801))+~P9(x14801,f54(f54(f11(x14801),x14803),x14802),f3(x14801)) % 5.99/5.93 [1481]~P62(x14811)+P9(x14811,x14812,f3(x14811))+P9(x14811,f3(x14811),x14813)+~P9(x14811,f3(x14811),f54(f54(f11(x14811),x14813),x14812)) % 5.99/5.93 [1482]~P62(x14821)+P9(x14821,x14822,f3(x14821))+P9(x14821,f3(x14821),x14823)+~P9(x14821,f3(x14821),f54(f54(f11(x14821),x14822),x14823)) % 5.99/5.93 [1483]~P62(x14831)+P9(x14831,f3(x14831),x14832)+P9(x14831,x14832,f3(x14831))+~P9(x14831,f3(x14831),f54(f54(f11(x14831),x14833),x14832)) % 5.99/5.93 [1484]~P62(x14841)+P9(x14841,f3(x14841),x14842)+P9(x14841,x14842,f3(x14841))+~P9(x14841,f3(x14841),f54(f54(f11(x14841),x14842),x14843)) % 5.99/5.93 [1485]~P62(x14851)+P9(x14851,f3(x14851),x14852)+P9(x14851,x14852,f3(x14851))+~P9(x14851,f54(f54(f11(x14851),x14853),x14852),f3(x14851)) % 5.99/5.93 [1486]~P62(x14861)+P9(x14861,f3(x14861),x14862)+P9(x14861,x14862,f3(x14861))+~P9(x14861,f54(f54(f11(x14861),x14862),x14863),f3(x14861)) % 5.99/5.93 [1487]~P62(x14871)+P9(x14871,f3(x14871),x14872)+P9(x14871,f3(x14871),x14873)+~P9(x14871,f54(f54(f11(x14871),x14872),x14873),f3(x14871)) % 5.99/5.93 [1527]~P65(x15271)+P10(x15271,f3(x15271),x15272)+~P10(x15271,f3(x15271),x15273)+~P10(x15271,f3(x15271),f54(f54(f11(x15271),x15273),x15272)) % 5.99/5.93 [1528]~P65(x15281)+P10(x15281,f3(x15281),x15282)+~P10(x15281,f3(x15281),x15283)+~P10(x15281,f3(x15281),f54(f54(f11(x15281),x15282),x15283)) % 5.99/5.93 [1777]~P56(x17772)+E(x17771,f3(x17772))+E(x17773,f3(x17772))+E(f10(x17772,f54(f54(f11(x17772),f54(f54(f11(x17772),f26(x17772,x17773)),f9(x17772,x17773,x17771))),f26(x17772,x17771))),f9(x17772,f26(x17772,x17773),f26(x17772,x17771))) % 5.99/5.93 [1208]~P50(x12081)+~P12(x12081,x12083)+~P12(x12081,x12082)+P12(x12081,f54(f54(f11(f72(x12081)),x12082),x12083)) % 5.99/5.93 [1299]~P56(x12992)+E(x12991,f3(x12992))+E(x12993,f3(x12992))+E(f54(f54(f11(x12992),f26(x12992,x12991)),f26(x12992,x12993)),f26(x12992,f54(f54(f11(x12992),x12993),x12991))) % 5.99/5.93 [1335]~P62(x13351)+~E(x13353,f3(x13351))+~E(x13352,f3(x13351))+E(f12(x13351,f54(f54(f11(x13351),x13352),x13352),f54(f54(f11(x13351),x13353),x13353)),f3(x13351)) % 5.99/5.93 [1550]~P75(x15501)+~P9(x15501,x15502,f3(x15501))+~P9(x15501,x15503,f3(x15501))+E(f54(f54(f11(x15501),f8(x15501,x15502)),f8(x15501,x15503)),f8(x15501,f54(f54(f11(x15501),x15502),x15503))) % 5.99/5.93 [1551]~P75(x15511)+~P9(x15511,x15512,f3(x15511))+~P9(x15511,f3(x15511),x15513)+E(f54(f54(f11(x15511),f8(x15511,x15512)),f8(x15511,x15513)),f8(x15511,f54(f54(f11(x15511),x15512),x15513))) % 5.99/5.93 [1552]~P75(x15521)+~P9(x15521,x15523,f3(x15521))+~P9(x15521,f3(x15521),x15522)+E(f54(f54(f11(x15521),f8(x15521,x15522)),f8(x15521,x15523)),f8(x15521,f54(f54(f11(x15521),x15522),x15523))) % 5.99/5.93 [1553]~P75(x15531)+~P9(x15531,f3(x15531),x15532)+~P9(x15531,f3(x15531),x15533)+E(f54(f54(f11(x15531),f8(x15531,x15532)),f8(x15531,x15533)),f8(x15531,f54(f54(f11(x15531),x15532),x15533))) % 5.99/5.93 [1593]~P10(a70,x15932,x15933)+~P10(a70,f3(a70),x15933)+P9(a70,f4(a70),x15931)+~E(f12(a70,x15932,f54(f54(f11(a70),x15933),x15931)),x15933) % 5.99/5.93 [1596]~P10(a70,f3(a70),x15963)+~P9(a70,f3(a70),x15962)+P9(a70,x15961,f4(a70))+~E(f12(a70,x15962,f54(f54(f11(a70),x15963),x15961)),x15963) % 5.99/5.93 [1694]~P62(x16941)+~E(x16943,f3(x16941))+~E(x16942,f3(x16941))+P9(x16941,f12(x16941,f54(f54(f11(x16941),x16942),x16942),f54(f54(f11(x16941),x16943),x16943)),f3(x16941)) % 5.99/5.93 [1714]~P49(x17141)+~P10(x17141,x17142,f4(x17141))+~P10(x17141,f3(x17141),x17142)+P10(x17141,f54(f54(f11(x17141),x17142),f54(f54(f21(x17141),x17142),x17143)),f54(f54(f21(x17141),x17142),x17143)) % 5.99/5.93 [1727]~P10(a70,x17272,x17273)+~P10(a70,f3(a70),x17273)+P9(a70,f3(a70),x17271)+~P9(a70,f3(a70),f12(a70,f54(f54(f11(a70),x17273),x17271),x17272)) % 5.99/5.93 [1728]P9(a70,x17281,f3(a70))+~P10(a70,f3(a70),x17282)+~P9(a70,f3(a70),x17283)+~P10(a70,f12(a70,f54(f54(f11(a70),x17282),x17281),x17283),f3(a70)) % 5.99/5.93 [1744]~P62(x17442)+~E(x17441,f3(x17442))+~E(x17443,f3(x17442))+~P10(x17442,f3(x17442),f12(x17442,f54(f54(f11(x17442),x17443),x17443),f54(f54(f11(x17442),x17441),x17441))) % 5.99/5.93 [1233]~P45(x12331)+~P10(x12331,x12334,x12333)+P10(x12331,x12332,x12333)+~P10(x12331,x12332,x12334) % 5.99/5.93 [1234]~P45(x12341)+~P9(x12341,x12344,x12343)+P10(x12341,x12342,x12343)+~P10(x12341,x12342,x12344) % 5.99/5.93 [1235]~P45(x12351)+~P9(x12351,x12352,x12354)+P10(x12351,x12352,x12353)+~P10(x12351,x12354,x12353) % 5.99/5.93 [1236]~P40(x12361)+~P10(x12361,x12362,x12364)+P10(x12361,x12362,x12363)+~P10(x12361,x12364,x12363) % 5.99/5.93 [1237]~P40(x12371)+~P9(x12371,x12372,x12374)+P10(x12371,x12372,x12373)+~P10(x12371,x12374,x12373) % 5.99/5.93 [1238]~P40(x12381)+~P9(x12381,x12384,x12383)+P10(x12381,x12382,x12383)+~P10(x12381,x12382,x12384) % 5.99/5.93 [1239]~P45(x12391)+~P9(x12391,x12394,x12393)+P9(x12391,x12392,x12393)+~P9(x12391,x12392,x12394) % 5.99/5.93 [1240]~P40(x12401)+~P9(x12401,x12402,x12404)+P9(x12401,x12402,x12403)+~P9(x12401,x12404,x12403) % 5.99/5.93 [1241]~P58(x12411)+~P13(x12411,x12412,x12414)+P13(x12411,x12412,x12413)+~P13(x12411,x12414,x12413) % 5.99/5.93 [1209]~P45(x12091)+~P14(x12091,x12092)+~P9(a69,x12094,x12093)+P9(x12091,f54(x12092,x12093),f54(x12092,x12094)) % 5.99/5.93 [1340]~P41(x13402)+P9(f77(x13401,x13402),x13404,x13403)+~P9(f77(x13401,x13402),x13403,x13404)+P10(f77(x13401,x13402),x13403,x13404) % 5.99/5.93 [1414]~P58(x14141)+~P13(x14141,x14142,x14144)+~P13(x14141,x14142,x14143)+P13(x14141,x14142,f12(x14141,x14143,x14144)) % 5.99/5.93 [1415]~P54(x14151)+~P13(x14151,x14152,x14154)+~P13(x14151,x14152,x14153)+P13(x14151,x14152,f9(x14151,x14153,x14154)) % 5.99/5.93 [1426]~P49(x14261)+~P10(x14261,x14262,x14264)+~P10(x14261,f3(x14261),x14263)+P10(x14261,x14262,f12(x14261,x14263,x14264)) % 5.99/5.93 [1427]~P36(x14271)+~P10(x14271,x14272,x14274)+~P9(x14271,f3(x14271),x14273)+P10(x14271,x14272,f12(x14271,x14273,x14274)) % 5.99/5.93 [1428]~P36(x14281)+~P9(x14281,x14282,x14284)+~P10(x14281,f3(x14281),x14283)+P10(x14281,x14282,f12(x14281,x14283,x14284)) % 5.99/5.93 [1429]~P36(x14291)+~P9(x14291,x14292,x14293)+~P9(x14291,f3(x14291),x14294)+P9(x14291,x14292,f12(x14291,x14293,x14294)) % 5.99/5.93 [1430]~P36(x14301)+~P9(x14301,x14302,x14304)+~P9(x14301,f3(x14301),x14303)+P9(x14301,x14302,f12(x14301,x14303,x14304)) % 5.99/5.93 [1582]~P1(x15822)+E(x15821,f3(x15822))+~P9(a1,x15823,f3(a1))+~P9(a1,f28(x15822,x15821),f54(f54(f11(a1),x15823),f28(x15822,x15824))) % 5.99/5.93 [1732]~P50(x17321)+~P10(x17321,x17322,f12(x17321,x17323,x17324))+~P10(x17321,f9(x17321,x17323,x17324),x17322)+P10(x17321,f8(x17321,f9(x17321,x17322,x17323)),x17324) % 5.99/5.93 [1310]~P49(x13103)+E(x13101,x13102)+~P10(x13103,f4(x13103),x13104)+~E(f54(f54(f21(x13103),x13104),x13101),f54(f54(f21(x13103),x13104),x13102)) % 5.99/5.93 [1555]~P49(x15551)+~P10(a69,x15553,x15554)+~P10(x15551,f4(x15551),x15552)+P10(x15551,f54(f54(f21(x15551),x15552),x15553),f54(f54(f21(x15551),x15552),x15554)) % 5.99/5.93 [1556]~P49(x15561)+~P9(a69,x15563,x15564)+~P10(x15561,f4(x15561),x15562)+P9(x15561,f54(f54(f21(x15561),x15562),x15563),f54(f54(f21(x15561),x15562),x15564)) % 5.99/5.93 [1557]~P49(x15571)+~P9(a69,x15573,x15574)+~P9(x15571,f4(x15571),x15572)+P9(x15571,f54(f54(f21(x15571),x15572),x15573),f54(f54(f21(x15571),x15572),x15574)) % 5.99/5.93 [1566]~P62(x15661)+~P10(x15661,x15664,x15662)+~P10(x15661,x15663,f3(x15661))+P10(x15661,f54(f54(f11(x15661),x15662),x15663),f54(f54(f11(x15661),x15664),x15663)) % 5.99/5.93 [1567]~P62(x15671)+~P10(x15671,x15674,x15673)+~P10(x15671,x15672,f3(x15671))+P10(x15671,f54(f54(f11(x15671),x15672),x15673),f54(f54(f11(x15671),x15672),x15674)) % 5.99/5.93 [1568]~P62(x15681)+~P9(x15681,x15684,x15683)+~P10(x15681,x15682,f3(x15681))+P9(x15681,f54(f54(f11(x15681),x15682),x15683),f54(f54(f11(x15681),x15682),x15684)) % 5.99/5.93 [1569]~P72(x15691)+~P9(x15691,x15694,x15693)+~P9(x15691,x15692,f3(x15691))+P9(x15691,f54(f54(f11(x15691),x15692),x15693),f54(f54(f11(x15691),x15692),x15694)) % 5.99/5.93 [1570]~P72(x15701)+~P9(x15701,x15704,x15702)+~P9(x15701,x15703,f3(x15701))+P9(x15701,f54(f54(f11(x15701),x15702),x15703),f54(f54(f11(x15701),x15704),x15703)) % 5.99/5.93 [1571]~P65(x15711)+~P10(x15711,x15713,x15714)+~P10(x15711,f3(x15711),x15712)+P10(x15711,f54(f54(f11(x15711),x15712),x15713),f54(f54(f11(x15711),x15712),x15714)) % 5.99/5.93 [1573]~P60(x15731)+~P10(x15731,x15733,x15734)+~P10(x15731,f3(x15731),x15732)+P10(x15731,f54(f54(f11(x15731),x15732),x15733),f54(f54(f11(x15731),x15732),x15734)) % 5.99/5.93 [1574]~P62(x15741)+~P10(x15741,x15742,x15744)+~P10(x15741,f3(x15741),x15743)+P10(x15741,f54(f54(f11(x15741),x15742),x15743),f54(f54(f11(x15741),x15744),x15743)) % 5.99/5.93 [1575]~P65(x15751)+~P10(x15751,x15752,x15754)+~P10(x15751,f3(x15751),x15753)+P10(x15751,f54(f54(f11(x15751),x15752),x15753),f54(f54(f11(x15751),x15754),x15753)) % 5.99/5.93 [1576]~P62(x15761)+~P10(x15761,x15763,x15764)+~P10(x15761,f3(x15761),x15762)+P10(x15761,f54(f54(f11(x15761),x15762),x15763),f54(f54(f11(x15761),x15762),x15764)) % 5.99/5.93 [1577]~P49(x15771)+~P9(x15771,x15772,x15774)+~P9(x15771,f3(x15771),x15772)+P9(x15771,f54(f54(f21(x15771),x15772),x15773),f54(f54(f21(x15771),x15774),x15773)) % 5.99/5.93 [1578]~P62(x15781)+~P9(x15781,x15783,x15784)+~P10(x15781,f3(x15781),x15782)+P9(x15781,f54(f54(f11(x15781),x15782),x15783),f54(f54(f11(x15781),x15782),x15784)) % 5.99/5.93 [1579]~P74(x15791)+~P9(x15791,x15793,x15794)+~P9(x15791,f3(x15791),x15792)+P9(x15791,f54(f54(f11(x15791),x15792),x15793),f54(f54(f11(x15791),x15792),x15794)) % 5.99/5.93 [1580]~P73(x15801)+~P9(x15801,x15803,x15804)+~P9(x15801,f3(x15801),x15802)+P9(x15801,f54(f54(f11(x15801),x15802),x15803),f54(f54(f11(x15801),x15802),x15804)) % 5.99/5.93 [1581]~P74(x15811)+~P9(x15811,x15812,x15814)+~P9(x15811,f3(x15811),x15813)+P9(x15811,f54(f54(f11(x15811),x15812),x15813),f54(f54(f11(x15811),x15814),x15813)) % 5.99/5.93 [1644]P10(x16441,x16443,x16442)+~P62(x16441)+P10(x16441,x16442,x16443)+~P10(x16441,f54(f54(f11(x16441),x16444),x16442),f54(f54(f11(x16441),x16444),x16443)) % 5.99/5.93 [1645]P10(x16451,x16453,x16452)+~P62(x16451)+P10(x16451,x16452,x16453)+~P10(x16451,f54(f54(f11(x16451),x16452),x16454),f54(f54(f11(x16451),x16453),x16454)) % 5.99/5.93 [1648]~P62(x16481)+P10(x16481,x16482,x16483)+P10(x16481,x16484,f3(x16481))+~P10(x16481,f54(f54(f11(x16481),x16482),x16484),f54(f54(f11(x16481),x16483),x16484)) % 5.99/5.93 [1649]~P62(x16491)+P10(x16491,x16492,x16493)+P10(x16491,x16494,f3(x16491))+~P10(x16491,f54(f54(f11(x16491),x16494),x16492),f54(f54(f11(x16491),x16494),x16493)) % 5.99/5.93 [1650]~P62(x16501)+P10(x16501,x16502,x16503)+P10(x16501,f3(x16501),x16504)+~P10(x16501,f54(f54(f11(x16501),x16504),x16503),f54(f54(f11(x16501),x16504),x16502)) % 5.99/5.93 [1651]~P62(x16511)+P10(x16511,x16512,x16513)+P10(x16511,f3(x16511),x16514)+~P10(x16511,f54(f54(f11(x16511),x16513),x16514),f54(f54(f11(x16511),x16512),x16514)) % 5.99/5.93 [1662]~P62(x16621)+P10(x16621,f3(x16621),x16622)+P10(x16621,x16622,f3(x16621))+~P10(x16621,f54(f54(f11(x16621),x16623),x16622),f54(f54(f11(x16621),x16624),x16622)) % 5.99/5.93 [1663]~P62(x16631)+P10(x16631,f3(x16631),x16632)+P10(x16631,x16632,f3(x16631))+~P10(x16631,f54(f54(f11(x16631),x16632),x16633),f54(f54(f11(x16631),x16632),x16634)) % 5.99/5.93 [1674]~P49(x16743)+P10(a69,x16741,x16742)+~P10(x16743,f4(x16743),x16744)+~P10(x16743,f54(f54(f21(x16743),x16744),x16741),f54(f54(f21(x16743),x16744),x16742)) % 5.99/5.93 [1676]~P49(x16763)+P9(a69,x16761,x16762)+~P10(x16763,f4(x16763),x16764)+~P9(x16763,f54(f54(f21(x16763),x16764),x16761),f54(f54(f21(x16763),x16764),x16762)) % 5.99/5.93 [1677]~P62(x16771)+P10(x16771,x16772,x16773)+~P10(x16771,x16774,f3(x16771))+~P10(x16771,f54(f54(f11(x16771),x16774),x16773),f54(f54(f11(x16771),x16774),x16772)) % 5.99/5.93 [1678]~P62(x16781)+P9(x16781,x16782,x16783)+~P10(x16781,x16784,f3(x16781))+~P9(x16781,f54(f54(f11(x16781),x16784),x16783),f54(f54(f11(x16781),x16784),x16782)) % 5.99/5.93 [1679]~P65(x16791)+P10(x16791,x16792,x16793)+~P9(x16791,f3(x16791),x16794)+~P10(x16791,f54(f54(f11(x16791),x16794),x16792),f54(f54(f11(x16791),x16794),x16793)) % 5.99/5.93 [1680]~P66(x16801)+P10(x16801,x16802,x16803)+~P9(x16801,f3(x16801),x16804)+~P10(x16801,f54(f54(f11(x16801),x16804),x16802),f54(f54(f11(x16801),x16804),x16803)) % 5.99/5.93 [1681]~P62(x16811)+P10(x16811,x16812,x16813)+~P10(x16811,f3(x16811),x16814)+~P10(x16811,f54(f54(f11(x16811),x16814),x16812),f54(f54(f11(x16811),x16814),x16813)) % 5.99/5.93 [1682]~P49(x16821)+P10(x16821,x16822,x16823)+~P9(x16821,f3(x16821),x16823)+~P10(x16821,f54(f54(f21(x16821),x16822),x16824),f54(f54(f21(x16821),x16823),x16824)) % 5.99/5.93 [1683]~P65(x16831)+P10(x16831,x16832,x16833)+~P9(x16831,f3(x16831),x16834)+~P10(x16831,f54(f54(f11(x16831),x16832),x16834),f54(f54(f11(x16831),x16833),x16834)) % 5.99/5.93 [1684]~P66(x16841)+P10(x16841,x16842,x16843)+~P9(x16841,f3(x16841),x16844)+~P10(x16841,f54(f54(f11(x16841),x16842),x16844),f54(f54(f11(x16841),x16843),x16844)) % 5.99/5.93 [1685]~P65(x16851)+P9(x16851,x16852,x16853)+~P10(x16851,f3(x16851),x16854)+~P9(x16851,f54(f54(f11(x16851),x16854),x16852),f54(f54(f11(x16851),x16854),x16853)) % 5.99/5.93 [1686]~P62(x16861)+P9(x16861,x16862,x16863)+~P10(x16861,f3(x16861),x16864)+~P9(x16861,f54(f54(f11(x16861),x16864),x16862),f54(f54(f11(x16861),x16864),x16863)) % 5.99/5.93 [1687]~P65(x16871)+P9(x16871,x16872,x16873)+~P10(x16871,f3(x16871),x16874)+~P9(x16871,f54(f54(f11(x16871),x16872),x16874),f54(f54(f11(x16871),x16873),x16874)) % 5.99/5.93 [1736]~P10(a1,f3(a1),x17364)+~P10(a1,f3(a1),x17362)+P10(a1,f54(f54(f11(a1),x17361),f26(a1,x17362)),f54(f54(f11(a1),x17363),f26(a1,x17364)))+~P10(a1,f54(f54(f11(a1),x17364),x17361),f54(f54(f11(a1),x17362),x17363)) % 5.99/5.93 [1745]~P10(a1,f3(a1),x17453)+~P10(a1,f3(a1),x17451)+~P10(a1,f54(f54(f11(a1),x17453),x17452),f54(f54(f11(a1),x17451),x17454))+P10(a1,f54(f54(f11(a1),f26(a1,x17451)),x17452),f54(f54(f11(a1),f26(a1,x17453)),x17454)) % 5.99/5.93 [1698]~P78(x16983)+~P59(x16983)+P82(f54(x16981,f64(x16982,x16981,x16983)))+~P82(f54(x16981,f54(f54(f11(x16983),x16982),x16984))) % 5.99/5.93 [1729]~P78(x17291)+~P59(x17291)+P13(x17291,x17292,f12(x17291,f64(x17292,x17293,x17291),f3(x17291)))+~P82(f54(x17293,f54(f54(f11(x17291),x17292),x17294))) % 5.99/5.93 [1778]~P10(a1,f3(a1),x17784)+~P10(a1,f28(a2,f9(a2,x17782,x17783)),f62(x17781,x17783,x17784))+~P10(a1,f3(a1),f28(a2,f9(a2,x17782,x17783)))+P10(a1,f28(a2,f9(a2,f54(f15(a2,x17781),x17782),f54(f15(a2,x17781),x17783))),x17784) % 5.99/5.93 [1125]~P16(x11255)+E(x11251,x11252)+~E(x11253,x11254)+~E(f9(x11255,x11253,x11254),f9(x11255,x11251,x11252)) % 5.99/5.93 [1375]~P32(x13751)+~P10(x13751,x13754,x13755)+P10(x13751,x13752,x13753)+~E(f9(x13751,x13754,x13755),f9(x13751,x13752,x13753)) % 5.99/5.93 [1377]~P32(x13771)+~P9(x13771,x13774,x13775)+P9(x13771,x13772,x13773)+~E(f9(x13771,x13774,x13775),f9(x13771,x13772,x13773)) % 5.99/5.93 [1558]~P35(x15581)+~P10(x15581,x15583,x15585)+~P10(x15581,x15582,x15584)+P10(x15581,f12(x15581,x15582,x15583),f12(x15581,x15584,x15585)) % 5.99/5.93 [1559]~P35(x15591)+~P10(x15591,x15593,x15595)+~P9(x15591,x15592,x15594)+P10(x15591,f12(x15591,x15592,x15593),f12(x15591,x15594,x15595)) % 5.99/5.93 [1560]~P35(x15601)+~P10(x15601,x15602,x15604)+~P9(x15601,x15603,x15605)+P10(x15601,f12(x15601,x15602,x15603),f12(x15601,x15604,x15605)) % 5.99/5.93 [1561]~P34(x15611)+~P9(x15611,x15613,x15615)+~P9(x15611,x15612,x15614)+P9(x15611,f12(x15611,x15612,x15613),f12(x15611,x15614,x15615)) % 5.99/5.93 [1712]~P1(x17121)+~P10(a1,f28(x17121,x17123),x17125)+~P10(a1,f28(x17121,x17122),x17124)+P10(a1,f28(x17121,f12(x17121,x17122,x17123)),f12(a1,x17124,x17125)) % 5.99/5.93 [1718]~P50(x17181)+~P10(x17181,f8(x17181,x17182),x17184)+~P10(x17181,f8(x17181,x17183),x17185)+P10(x17181,f54(f54(f11(x17181),f8(x17181,x17182)),f8(x17181,x17183)),f54(f54(f11(x17181),x17184),x17185)) % 5.99/5.93 [1699]~P3(x16991)+~P10(a1,f28(x16991,x16993),x16995)+~P10(a1,f28(x16991,x16992),x16994)+P10(a1,f28(x16991,f54(f54(f11(x16991),x16992),x16993)),f54(f54(f11(a1),x16994),x16995)) % 5.99/5.93 [1734]~P81(x17345)+E(x17341,x17342)+E(x17343,x17344)+~E(f12(x17345,f54(f54(f11(x17345),x17343),x17341),f54(f54(f11(x17345),x17344),x17342)),f12(x17345,f54(f54(f11(x17345),x17343),x17342),f54(f54(f11(x17345),x17344),x17341))) % 5.99/5.93 [1761]~E(f28(a2,x17611),f4(a1))+P10(a1,f28(a2,f9(a2,x17611,a6)),f4(a1))+P10(a1,f28(a2,f12(a2,x17611,a6)),f4(a1))+P10(a1,f28(a2,f12(a2,x17611,f4(a2))),f4(a1))+P10(a1,f28(a2,f9(a2,x17611,f4(a2))),f4(a1)) % 5.99/5.93 [765]~P56(x7653)+E(x7651,x7652)+~E(f26(x7653,x7651),f26(x7653,x7652))+E(x7652,f3(x7653))+E(x7651,f3(x7653)) % 5.99/5.93 [1345]~P36(x13452)+~P9(x13452,f3(x13452),x13453)+~P9(x13452,f3(x13452),x13451)+~E(f12(x13452,x13453,x13451),f3(x13452))+E(x13451,f3(x13452)) % 5.99/5.93 [1346]~P36(x13462)+~P9(x13462,f3(x13462),x13463)+~P9(x13462,f3(x13462),x13461)+~E(f12(x13462,x13461,x13463),f3(x13462))+E(x13461,f3(x13462)) % 5.99/5.93 [1583]~P50(x15831)+~P9(x15831,x15832,f4(x15831))+~P9(x15831,f3(x15831),x15832)+~P9(x15831,f3(x15831),x15833)+P9(x15831,f54(f54(f11(x15831),x15832),x15833),x15833) % 5.99/5.93 [1584]~P50(x15841)+~P9(x15841,x15843,f4(x15841))+~P9(x15841,f3(x15841),x15843)+~P9(x15841,f3(x15841),x15842)+P9(x15841,f54(f54(f11(x15841),x15842),x15843),x15842) % 5.99/5.93 [1664]~P49(x16641)+~P10(x16641,x16642,x16644)+~P9(x16641,f3(x16641),x16642)+~P10(a69,f3(a69),x16643)+P10(x16641,f54(f54(f21(x16641),x16642),x16643),f54(f54(f21(x16641),x16644),x16643)) % 5.99/5.93 [1665]~P49(x16651)+~P10(a69,x16654,x16653)+~P10(x16651,x16652,f4(x16651))+~P10(x16651,f3(x16651),x16652)+P10(x16651,f54(f54(f21(x16651),x16652),x16653),f54(f54(f21(x16651),x16652),x16654)) % 5.99/5.93 [1666]~P49(x16661)+~P9(a69,x16664,x16663)+~P9(x16661,x16662,f4(x16661))+~P9(x16661,f3(x16661),x16662)+P9(x16661,f54(f54(f21(x16661),x16662),x16663),f54(f54(f21(x16661),x16662),x16664)) % 5.99/5.93 [1746]~P78(x17462)+~P59(x17462)+~P13(x17462,x17463,f12(x17462,x17464,f3(x17462)))+~P82(f54(x17461,x17464))+P82(f54(x17461,f54(f54(f11(x17462),x17463),f65(x17463,x17461,x17462)))) % 5.99/5.93 [1751]~P1(x17514)+~P41(x17511)+~P9(x17511,x17512,x17515)+P9(x17511,x17512,f51(x17513,x17512,x17511,x17514))+P10(a1,f28(x17514,f54(x17513,x17515)),f12(a1,f4(a1),f28(x17514,f54(x17513,x17512)))) % 5.99/5.93 [1766]P9(a70,x17661,x17662)+~P10(a70,x17663,x17664)+~P10(a70,x17663,x17665)+~P9(a70,x17664,f3(a70))+~P9(a70,f12(a70,f54(f54(f11(a70),x17663),x17662),x17665),f12(a70,f54(f54(f11(a70),x17663),x17661),x17664)) % 5.99/5.93 [1767]P9(a70,x17671,x17672)+~P10(a70,x17673,x17674)+~P10(a70,x17675,x17674)+~P9(a70,f3(a70),x17675)+~P9(a70,f12(a70,f54(f54(f11(a70),x17674),x17671),x17675),f12(a70,f54(f54(f11(a70),x17674),x17672),x17673)) % 5.99/5.93 [1807]~P1(x18071)+~P9(x18075,x18074,x18073)+~P41(x18075)+P10(a1,f28(x18071,f54(x18072,x18073)),f12(a1,f4(a1),f28(x18071,f54(x18072,x18074))))+~P10(a1,f28(x18071,f9(x18071,f54(x18072,x18074),f54(x18072,f51(x18072,x18074,x18075,x18071)))),f4(a1)) % 5.99/5.93 [1634]~P81(x16344)+E(x16341,x16342)+~E(x16345,x16346)+E(x16343,f3(x16344))+~E(f12(x16344,x16345,f54(f54(f11(x16344),x16343),x16341)),f12(x16344,x16346,f54(f54(f11(x16344),x16343),x16342))) % 5.99/5.93 [1758]~P53(x17581)+~P59(x17581)+~P13(x17581,x17582,x17585)+~P13(x17581,x17582,f12(x17581,x17583,x17586))+P13(x17581,x17582,f12(x17581,f9(x17581,x17583,f54(f54(f11(x17581),x17584),x17585)),x17586)) % 5.99/5.93 [1773]~P53(x17731)+~P59(x17731)+~P13(x17731,x17732,x17735)+P13(x17731,x17732,f12(x17731,x17733,x17734))+~P13(x17731,x17732,f12(x17731,f9(x17731,x17733,f54(f54(f11(x17731),x17736),x17735)),x17734)) % 5.99/5.93 [1320]~P36(x13201)+~P9(x13201,f3(x13201),x13203)+~P9(x13201,f3(x13201),x13202)+~E(x13203,f3(x13201))+~E(x13202,f3(x13201))+E(f12(x13201,x13202,x13203),f3(x13201)) % 5.99/5.93 [976]~P28(x9762)+~P64(x9762)+~P69(x9762)+~P77(x9762)+E(x9761,f3(x9762))+~E(f54(f54(f21(x9762),x9761),x9763),f3(x9762)) % 5.99/5.93 [977]~P28(x9772)+~P64(x9772)+~P69(x9772)+~P77(x9772)+~E(x9771,f3(a69))+~E(f54(f54(f21(x9772),x9773),x9771),f3(x9772)) % 5.99/5.93 [1590]~P49(x15903)+E(x15901,x15902)+~P9(x15903,f3(x15903),x15902)+~P9(x15903,f3(x15903),x15901)+~P10(a69,f3(a69),x15904)+~E(f54(f54(f21(x15903),x15901),x15904),f54(f54(f21(x15903),x15902),x15904)) % 5.99/5.93 [1700]~P65(x17001)+~P10(x17001,x17003,x17005)+~P10(x17001,x17002,x17004)+~P10(x17001,f3(x17001),x17004)+~P9(x17001,f3(x17001),x17003)+P10(x17001,f54(f54(f11(x17001),x17002),x17003),f54(f54(f11(x17001),x17004),x17005)) % 5.99/5.93 [1701]~P65(x17011)+~P10(x17011,x17013,x17015)+~P10(x17011,x17012,x17014)+~P9(x17011,f3(x17011),x17013)+~P9(x17011,f3(x17011),x17012)+P10(x17011,f54(f54(f11(x17011),x17012),x17013),f54(f54(f11(x17011),x17014),x17015)) % 5.99/5.93 [1702]~P65(x17021)+~P10(x17021,x17023,x17025)+~P9(x17021,x17022,x17024)+~P10(x17021,f3(x17021),x17022)+~P9(x17021,f3(x17021),x17023)+P10(x17021,f54(f54(f11(x17021),x17022),x17023),f54(f54(f11(x17021),x17024),x17025)) % 5.99/5.93 [1703]~P65(x17031)+~P10(x17031,x17032,x17034)+~P9(x17031,x17033,x17035)+~P10(x17031,f3(x17031),x17033)+~P9(x17031,f3(x17031),x17032)+P10(x17031,f54(f54(f11(x17031),x17032),x17033),f54(f54(f11(x17031),x17034),x17035)) % 5.99/5.93 [1704]~P74(x17041)+~P9(x17041,x17043,x17045)+~P9(x17041,x17042,x17044)+~P9(x17041,f3(x17041),x17043)+~P9(x17041,f3(x17041),x17044)+P9(x17041,f54(f54(f11(x17041),x17042),x17043),f54(f54(f11(x17041),x17044),x17045)) % 5.99/5.93 [1705]~P74(x17051)+~P9(x17051,x17053,x17055)+~P9(x17051,x17052,x17054)+~P9(x17051,f3(x17051),x17053)+~P9(x17051,f3(x17051),x17052)+P9(x17051,f54(f54(f11(x17051),x17052),x17053),f54(f54(f11(x17051),x17054),x17055)) % 5.99/5.93 [902]~P28(x9022)+~P64(x9022)+~P69(x9022)+~P77(x9022)+~E(x9023,f3(x9022))+E(x9021,f3(a69))+E(f54(f54(f21(x9022),x9023),x9021),f3(x9022)) % 5.99/5.93 [1747]~P68(x17471)+~P10(x17471,x17475,x17476)+~P10(x17471,x17473,x17476)+~P9(x17471,f3(x17471),x17474)+~P9(x17471,f3(x17471),x17472)+~E(f12(x17471,x17472,x17474),f4(x17471))+P10(x17471,f12(x17471,f54(f54(f11(x17471),x17472),x17473),f54(f54(f11(x17471),x17474),x17475)),x17476) % 5.99/5.93 [1748]~P67(x17481)+~P9(x17481,x17485,x17486)+~P9(x17481,x17483,x17486)+~P9(x17481,f3(x17481),x17484)+~P9(x17481,f3(x17481),x17482)+~E(f12(x17481,x17482,x17484),f4(x17481))+P9(x17481,f12(x17481,f54(f54(f11(x17481),x17482),x17483),f54(f54(f11(x17481),x17484),x17485)),x17486) % 5.99/5.93 [1770]~P10(a70,x17706,x17705)+~P9(a70,x17705,x17703)+P9(a70,x17701,x17702)+~P10(a70,f3(a70),x17705)+~P9(a70,f3(a70),x17704)+~P9(a70,f3(a70),f12(a70,f54(f54(f11(a70),x17705),x17702),x17706))+~E(f12(a70,f54(f54(f11(a70),x17703),x17701),x17704),f12(a70,f54(f54(f11(a70),x17705),x17702),x17706)) % 5.99/5.93 [1771]~P10(a70,x17714,x17713)+~P9(a70,x17715,x17713)+P9(a70,x17711,x17712)+~P10(a70,f3(a70),x17715)+~P9(a70,f3(a70),x17716)+~P10(a70,f12(a70,f54(f54(f11(a70),x17715),x17711),x17716),f3(a70))+~E(f12(a70,f54(f54(f11(a70),x17713),x17712),x17714),f12(a70,f54(f54(f11(a70),x17715),x17711),x17716)) % 5.99/5.93 %EqnAxiom % 5.99/5.93 [1]E(x11,x11) % 5.99/5.93 [2]E(x22,x21)+~E(x21,x22) % 5.99/5.93 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 5.99/5.93 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 5.99/5.93 [5]~E(x51,x52)+E(f14(x51),f14(x52)) % 5.99/5.93 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 5.99/5.93 [7]~E(x71,x72)+E(f54(x71,x73),f54(x72,x73)) % 5.99/5.93 [8]~E(x81,x82)+E(f54(x83,x81),f54(x83,x82)) % 5.99/5.93 [9]~E(x91,x92)+E(f11(x91),f11(x92)) % 5.99/5.93 [10]~E(x101,x102)+E(f20(x101,x103,x104),f20(x102,x103,x104)) % 5.99/5.93 [11]~E(x111,x112)+E(f20(x113,x111,x114),f20(x113,x112,x114)) % 5.99/5.93 [12]~E(x121,x122)+E(f20(x123,x124,x121),f20(x123,x124,x122)) % 5.99/5.93 [13]~E(x131,x132)+E(f28(x131,x133),f28(x132,x133)) % 5.99/5.93 [14]~E(x141,x142)+E(f28(x143,x141),f28(x143,x142)) % 5.99/5.93 [15]~E(x151,x152)+E(f25(x151),f25(x152)) % 5.99/5.93 [16]~E(x161,x162)+E(f9(x161,x163,x164),f9(x162,x163,x164)) % 5.99/5.93 [17]~E(x171,x172)+E(f9(x173,x171,x174),f9(x173,x172,x174)) % 5.99/5.93 [18]~E(x181,x182)+E(f9(x183,x184,x181),f9(x183,x184,x182)) % 5.99/5.93 [19]~E(x191,x192)+E(f21(x191),f21(x192)) % 5.99/5.93 [20]~E(x201,x202)+E(f27(x201,x203),f27(x202,x203)) % 5.99/5.93 [21]~E(x211,x212)+E(f27(x213,x211),f27(x213,x212)) % 5.99/5.93 [22]~E(x221,x222)+E(f24(x221,x223,x224),f24(x222,x223,x224)) % 5.99/5.93 [23]~E(x231,x232)+E(f24(x233,x231,x234),f24(x233,x232,x234)) % 5.99/5.93 [24]~E(x241,x242)+E(f24(x243,x244,x241),f24(x243,x244,x242)) % 5.99/5.93 [25]~E(x251,x252)+E(f8(x251,x253),f8(x252,x253)) % 5.99/5.93 [26]~E(x261,x262)+E(f8(x263,x261),f8(x263,x262)) % 5.99/5.93 [27]~E(x271,x272)+E(f10(x271,x273),f10(x272,x273)) % 5.99/5.93 [28]~E(x281,x282)+E(f10(x283,x281),f10(x283,x282)) % 5.99/5.93 [29]~E(x291,x292)+E(f51(x291,x293,x294,x295),f51(x292,x293,x294,x295)) % 5.99/5.93 [30]~E(x301,x302)+E(f51(x303,x301,x304,x305),f51(x303,x302,x304,x305)) % 5.99/5.93 [31]~E(x311,x312)+E(f51(x313,x314,x311,x315),f51(x313,x314,x312,x315)) % 5.99/5.93 [32]~E(x321,x322)+E(f51(x323,x324,x325,x321),f51(x323,x324,x325,x322)) % 5.99/5.93 [33]~E(x331,x332)+E(f23(x331,x333,x334),f23(x332,x333,x334)) % 5.99/5.93 [34]~E(x341,x342)+E(f23(x343,x341,x344),f23(x343,x342,x344)) % 5.99/5.93 [35]~E(x351,x352)+E(f23(x353,x354,x351),f23(x353,x354,x352)) % 5.99/5.93 [36]~E(x361,x362)+E(f26(x361,x363),f26(x362,x363)) % 5.99/5.93 [37]~E(x371,x372)+E(f26(x373,x371),f26(x373,x372)) % 5.99/5.93 [38]~E(x381,x382)+E(f12(x381,x383,x384),f12(x382,x383,x384)) % 5.99/5.93 [39]~E(x391,x392)+E(f12(x393,x391,x394),f12(x393,x392,x394)) % 5.99/5.93 [40]~E(x401,x402)+E(f12(x403,x404,x401),f12(x403,x404,x402)) % 5.99/5.93 [41]~E(x411,x412)+E(f18(x411,x413,x414),f18(x412,x413,x414)) % 5.99/5.93 [42]~E(x421,x422)+E(f18(x423,x421,x424),f18(x423,x422,x424)) % 5.99/5.93 [43]~E(x431,x432)+E(f18(x433,x434,x431),f18(x433,x434,x432)) % 5.99/5.93 [44]~E(x441,x442)+E(f15(x441,x443),f15(x442,x443)) % 5.99/5.93 [45]~E(x451,x452)+E(f15(x453,x451),f15(x453,x452)) % 5.99/5.93 [46]~E(x461,x462)+E(f58(x461,x463),f58(x462,x463)) % 5.99/5.93 [47]~E(x471,x472)+E(f58(x473,x471),f58(x473,x472)) % 5.99/5.93 [48]~E(x481,x482)+E(f72(x481),f72(x482)) % 5.99/5.93 [49]~E(x491,x492)+E(f49(x491),f49(x492)) % 5.99/5.93 [50]~E(x501,x502)+E(f29(x501,x503),f29(x502,x503)) % 5.99/5.93 [51]~E(x511,x512)+E(f29(x513,x511),f29(x513,x512)) % 5.99/5.93 [52]~E(x521,x522)+E(f5(x521,x523),f5(x522,x523)) % 5.99/5.93 [53]~E(x531,x532)+E(f5(x533,x531),f5(x533,x532)) % 5.99/5.93 [54]~E(x541,x542)+E(f50(x541),f50(x542)) % 5.99/5.93 [55]~E(x551,x552)+E(f19(x551,x553,x554),f19(x552,x553,x554)) % 5.99/5.93 [56]~E(x561,x562)+E(f19(x563,x561,x564),f19(x563,x562,x564)) % 5.99/5.93 [57]~E(x571,x572)+E(f19(x573,x574,x571),f19(x573,x574,x572)) % 5.99/5.93 [58]~E(x581,x582)+E(f52(x581,x583),f52(x582,x583)) % 5.99/5.93 [59]~E(x591,x592)+E(f52(x593,x591),f52(x593,x592)) % 5.99/5.93 [60]~E(x601,x602)+E(f16(x601,x603,x604),f16(x602,x603,x604)) % 5.99/5.93 [61]~E(x611,x612)+E(f16(x613,x611,x614),f16(x613,x612,x614)) % 5.99/5.93 [62]~E(x621,x622)+E(f16(x623,x624,x621),f16(x623,x624,x622)) % 5.99/5.93 [63]~E(x631,x632)+E(f13(x631,x633),f13(x632,x633)) % 5.99/5.93 [64]~E(x641,x642)+E(f13(x643,x641),f13(x643,x642)) % 5.99/5.93 [65]~E(x651,x652)+E(f77(x651,x653),f77(x652,x653)) % 5.99/5.93 [66]~E(x661,x662)+E(f77(x663,x661),f77(x663,x662)) % 5.99/5.93 [67]~E(x671,x672)+E(f7(x671,x673,x674),f7(x672,x673,x674)) % 5.99/5.93 [68]~E(x681,x682)+E(f7(x683,x681,x684),f7(x683,x682,x684)) % 5.99/5.93 [69]~E(x691,x692)+E(f7(x693,x694,x691),f7(x693,x694,x692)) % 5.99/5.93 [70]~E(x701,x702)+E(f66(x701),f66(x702)) % 5.99/5.93 [71]~E(x711,x712)+E(f60(x711,x713),f60(x712,x713)) % 5.99/5.93 [72]~E(x721,x722)+E(f60(x723,x721),f60(x723,x722)) % 5.99/5.93 [73]~E(x731,x732)+E(f17(x731,x733),f17(x732,x733)) % 5.99/5.93 [74]~E(x741,x742)+E(f17(x743,x741),f17(x743,x742)) % 5.99/5.93 [75]~E(x751,x752)+E(f61(x751),f61(x752)) % 5.99/5.93 [76]~E(x761,x762)+E(f59(x761),f59(x762)) % 5.99/5.93 [77]~E(x771,x772)+E(f39(x771,x773,x774),f39(x772,x773,x774)) % 5.99/5.93 [78]~E(x781,x782)+E(f39(x783,x781,x784),f39(x783,x782,x784)) % 5.99/5.93 [79]~E(x791,x792)+E(f39(x793,x794,x791),f39(x793,x794,x792)) % 5.99/5.93 [80]~E(x801,x802)+E(f64(x801,x803,x804),f64(x802,x803,x804)) % 5.99/5.93 [81]~E(x811,x812)+E(f64(x813,x811,x814),f64(x813,x812,x814)) % 5.99/5.93 [82]~E(x821,x822)+E(f64(x823,x824,x821),f64(x823,x824,x822)) % 5.99/5.93 [83]~E(x831,x832)+E(f22(x831,x833,x834),f22(x832,x833,x834)) % 5.99/5.93 [84]~E(x841,x842)+E(f22(x843,x841,x844),f22(x843,x842,x844)) % 5.99/5.93 [85]~E(x851,x852)+E(f22(x853,x854,x851),f22(x853,x854,x852)) % 5.99/5.93 [86]~E(x861,x862)+E(f67(x861,x863),f67(x862,x863)) % 5.99/5.93 [87]~E(x871,x872)+E(f67(x873,x871),f67(x873,x872)) % 5.99/5.93 [88]~E(x881,x882)+E(f38(x881,x883,x884),f38(x882,x883,x884)) % 5.99/5.93 [89]~E(x891,x892)+E(f38(x893,x891,x894),f38(x893,x892,x894)) % 5.99/5.93 [90]~E(x901,x902)+E(f38(x903,x904,x901),f38(x903,x904,x902)) % 5.99/5.93 [91]~E(x911,x912)+E(f62(x911,x913,x914),f62(x912,x913,x914)) % 5.99/5.93 [92]~E(x921,x922)+E(f62(x923,x921,x924),f62(x923,x922,x924)) % 5.99/5.93 [93]~E(x931,x932)+E(f62(x933,x934,x931),f62(x933,x934,x932)) % 5.99/5.93 [94]~E(x941,x942)+E(f57(x941),f57(x942)) % 5.99/5.93 [95]~E(x951,x952)+E(f53(x951,x953),f53(x952,x953)) % 5.99/5.93 [96]~E(x961,x962)+E(f53(x963,x961),f53(x963,x962)) % 5.99/5.93 [97]~E(x971,x972)+E(f47(x971,x973,x974,x975),f47(x972,x973,x974,x975)) % 5.99/5.93 [98]~E(x981,x982)+E(f47(x983,x981,x984,x985),f47(x983,x982,x984,x985)) % 5.99/5.93 [99]~E(x991,x992)+E(f47(x993,x994,x991,x995),f47(x993,x994,x992,x995)) % 5.99/5.93 [100]~E(x1001,x1002)+E(f47(x1003,x1004,x1005,x1001),f47(x1003,x1004,x1005,x1002)) % 5.99/5.93 [101]~E(x1011,x1012)+E(f44(x1011,x1013),f44(x1012,x1013)) % 5.99/5.93 [102]~E(x1021,x1022)+E(f44(x1023,x1021),f44(x1023,x1022)) % 5.99/5.93 [103]~E(x1031,x1032)+E(f31(x1031),f31(x1032)) % 5.99/5.93 [104]~E(x1041,x1042)+E(f63(x1041),f63(x1042)) % 5.99/5.93 [105]~E(x1051,x1052)+E(f43(x1051,x1053),f43(x1052,x1053)) % 5.99/5.93 [106]~E(x1061,x1062)+E(f43(x1063,x1061),f43(x1063,x1062)) % 5.99/5.93 [107]~E(x1071,x1072)+E(f68(x1071,x1073),f68(x1072,x1073)) % 5.99/5.93 [108]~E(x1081,x1082)+E(f68(x1083,x1081),f68(x1083,x1082)) % 5.99/5.93 [109]~E(x1091,x1092)+E(f42(x1091),f42(x1092)) % 5.99/5.93 [110]~E(x1101,x1102)+E(f65(x1101,x1103,x1104),f65(x1102,x1103,x1104)) % 5.99/5.93 [111]~E(x1111,x1112)+E(f65(x1113,x1111,x1114),f65(x1113,x1112,x1114)) % 5.99/5.93 [112]~E(x1121,x1122)+E(f65(x1123,x1124,x1121),f65(x1123,x1124,x1122)) % 5.99/5.93 [113]~P1(x1131)+P1(x1132)+~E(x1131,x1132) % 5.99/5.93 [114]P10(x1142,x1143,x1144)+~E(x1141,x1142)+~P10(x1141,x1143,x1144) % 5.99/5.93 [115]P10(x1153,x1152,x1154)+~E(x1151,x1152)+~P10(x1153,x1151,x1154) % 5.99/5.93 [116]P10(x1163,x1164,x1162)+~E(x1161,x1162)+~P10(x1163,x1164,x1161) % 5.99/5.93 [117]~P49(x1171)+P49(x1172)+~E(x1171,x1172) % 5.99/5.93 [118]P9(x1182,x1183,x1184)+~E(x1181,x1182)+~P9(x1181,x1183,x1184) % 5.99/5.93 [119]P9(x1193,x1192,x1194)+~E(x1191,x1192)+~P9(x1193,x1191,x1194) % 5.99/5.93 [120]P9(x1203,x1204,x1202)+~E(x1201,x1202)+~P9(x1203,x1204,x1201) % 5.99/5.93 [121]~P62(x1211)+P62(x1212)+~E(x1211,x1212) % 5.99/5.93 [122]~P2(x1221)+P2(x1222)+~E(x1221,x1222) % 5.99/5.93 [123]~P43(x1231)+P43(x1232)+~E(x1231,x1232) % 5.99/5.93 [124]~P3(x1241)+P3(x1242)+~E(x1241,x1242) % 5.99/5.93 [125]~P53(x1251)+P53(x1252)+~E(x1251,x1252) % 5.99/5.93 [126]~P4(x1261)+P4(x1262)+~E(x1261,x1262) % 5.99/5.93 [127]~P32(x1271)+P32(x1272)+~E(x1271,x1272) % 5.99/5.93 [128]~P65(x1281)+P65(x1282)+~E(x1281,x1282) % 5.99/5.93 [129]~P15(x1291)+P15(x1292)+~E(x1291,x1292) % 5.99/5.93 [130]~P28(x1301)+P28(x1302)+~E(x1301,x1302) % 5.99/5.93 [131]~P58(x1311)+P58(x1312)+~E(x1311,x1312) % 5.99/5.93 [132]P13(x1322,x1323,x1324)+~E(x1321,x1322)+~P13(x1321,x1323,x1324) % 5.99/5.93 [133]P13(x1333,x1332,x1334)+~E(x1331,x1332)+~P13(x1333,x1331,x1334) % 5.99/5.93 [134]P13(x1343,x1344,x1342)+~E(x1341,x1342)+~P13(x1343,x1344,x1341) % 5.99/5.93 [135]~P45(x1351)+P45(x1352)+~E(x1351,x1352) % 5.99/5.93 [136]~P46(x1361)+P46(x1362)+~E(x1361,x1362) % 5.99/5.93 [137]~P57(x1371)+P57(x1372)+~E(x1371,x1372) % 5.99/5.93 [138]~P63(x1381)+P63(x1382)+~E(x1381,x1382) % 5.99/5.93 [139]~P33(x1391)+P33(x1392)+~E(x1391,x1392) % 5.99/5.93 [140]~P82(x1401)+P82(x1402)+~E(x1401,x1402) % 5.99/5.93 [141]~P64(x1411)+P64(x1412)+~E(x1411,x1412) % 5.99/5.93 [142]~P30(x1421)+P30(x1422)+~E(x1421,x1422) % 5.99/5.93 [143]~P42(x1431)+P42(x1432)+~E(x1431,x1432) % 5.99/5.93 [144]~P72(x1441)+P72(x1442)+~E(x1441,x1442) % 5.99/5.93 [145]~P69(x1451)+P69(x1452)+~E(x1451,x1452) % 5.99/5.93 [146]~P6(x1461)+P6(x1462)+~E(x1461,x1462) % 5.99/5.93 [147]~P16(x1471)+P16(x1472)+~E(x1471,x1472) % 5.99/5.93 [148]~P26(x1481)+P26(x1482)+~E(x1481,x1482) % 5.99/5.93 [149]~P77(x1491)+P77(x1492)+~E(x1491,x1492) % 5.99/5.93 [150]~P78(x1501)+P78(x1502)+~E(x1501,x1502) % 5.99/5.93 [151]P12(x1512,x1513)+~E(x1511,x1512)+~P12(x1511,x1513) % 5.99/5.93 [152]P12(x1523,x1522)+~E(x1521,x1522)+~P12(x1523,x1521) % 5.99/5.93 [153]~P47(x1531)+P47(x1532)+~E(x1531,x1532) % 5.99/5.93 [154]~P5(x1541)+P5(x1542)+~E(x1541,x1542) % 5.99/5.93 [155]~P55(x1551)+P55(x1552)+~E(x1551,x1552) % 5.99/5.93 [156]P14(x1562,x1563)+~E(x1561,x1562)+~P14(x1561,x1563) % 5.99/5.93 [157]P14(x1573,x1572)+~E(x1571,x1572)+~P14(x1573,x1571) % 5.99/5.93 [158]~P48(x1581)+P48(x1582)+~E(x1581,x1582) % 5.99/5.93 [159]~P35(x1591)+P35(x1592)+~E(x1591,x1592) % 5.99/5.93 [160]~P40(x1601)+P40(x1602)+~E(x1601,x1602) % 5.99/5.93 [161]~P70(x1611)+P70(x1612)+~E(x1611,x1612) % 5.99/5.93 [162]~P8(x1621)+P8(x1622)+~E(x1621,x1622) % 5.99/5.93 [163]~P50(x1631)+P50(x1632)+~E(x1631,x1632) % 5.99/5.93 [164]~P75(x1641)+P75(x1642)+~E(x1641,x1642) % 5.99/5.93 [165]~P56(x1651)+P56(x1652)+~E(x1651,x1652) % 5.99/5.93 [166]~P60(x1661)+P60(x1662)+~E(x1661,x1662) % 5.99/5.93 [167]~P38(x1671)+P38(x1672)+~E(x1671,x1672) % 5.99/5.93 [168]~P39(x1681)+P39(x1682)+~E(x1681,x1682) % 5.99/5.93 [169]~P54(x1691)+P54(x1692)+~E(x1691,x1692) % 5.99/5.93 [170]~P66(x1701)+P66(x1702)+~E(x1701,x1702) % 5.99/5.93 [171]~P29(x1711)+P29(x1712)+~E(x1711,x1712) % 5.99/5.93 [172]~P73(x1721)+P73(x1722)+~E(x1721,x1722) % 5.99/5.93 [173]~P24(x1731)+P24(x1732)+~E(x1731,x1732) % 5.99/5.93 [174]~P27(x1741)+P27(x1742)+~E(x1741,x1742) % 5.99/5.93 [175]~P61(x1751)+P61(x1752)+~E(x1751,x1752) % 5.99/5.93 [176]~P51(x1761)+P51(x1762)+~E(x1761,x1762) % 5.99/5.93 [177]~P44(x1771)+P44(x1772)+~E(x1771,x1772) % 5.99/5.93 [178]~P34(x1781)+P34(x1782)+~E(x1781,x1782) % 5.99/5.93 [179]P11(x1792,x1793,x1794)+~E(x1791,x1792)+~P11(x1791,x1793,x1794) % 5.99/5.93 [180]P11(x1803,x1802,x1804)+~E(x1801,x1802)+~P11(x1803,x1801,x1804) % 5.99/5.93 [181]P11(x1813,x1814,x1812)+~E(x1811,x1812)+~P11(x1813,x1814,x1811) % 5.99/5.93 [182]~P17(x1821)+P17(x1822)+~E(x1821,x1822) % 5.99/5.93 [183]~P59(x1831)+P59(x1832)+~E(x1831,x1832) % 5.99/5.93 [184]~P52(x1841)+P52(x1842)+~E(x1841,x1842) % 5.99/5.93 [185]~P71(x1851)+P71(x1852)+~E(x1851,x1852) % 5.99/5.93 [186]~P36(x1861)+P36(x1862)+~E(x1861,x1862) % 5.99/5.93 [187]~P41(x1871)+P41(x1872)+~E(x1871,x1872) % 5.99/5.93 [188]~P79(x1881)+P79(x1882)+~E(x1881,x1882) % 5.99/5.93 [189]~P22(x1891)+P22(x1892)+~E(x1891,x1892) % 5.99/5.93 [190]~P21(x1901)+P21(x1902)+~E(x1901,x1902) % 5.99/5.93 [191]~P76(x1911)+P76(x1912)+~E(x1911,x1912) % 5.99/5.93 [192]~P67(x1921)+P67(x1922)+~E(x1921,x1922) % 5.99/5.93 [193]~P31(x1931)+P31(x1932)+~E(x1931,x1932) % 5.99/5.93 [194]~P25(x1941)+P25(x1942)+~E(x1941,x1942) % 5.99/5.93 [195]~P80(x1951)+P80(x1952)+~E(x1951,x1952) % 5.99/5.93 [196]~P20(x1961)+P20(x1962)+~E(x1961,x1962) % 5.99/5.93 [197]~P68(x1971)+P68(x1972)+~E(x1971,x1972) % 5.99/5.93 [198]~P81(x1981)+P81(x1982)+~E(x1981,x1982) % 5.99/5.93 [199]~P18(x1991)+P18(x1992)+~E(x1991,x1992) % 5.99/5.93 [200]~P23(x2001)+P23(x2002)+~E(x2001,x2002) % 5.99/5.93 [201]~P74(x2011)+P74(x2012)+~E(x2011,x2012) % 5.99/5.93 [202]~P37(x2021)+P37(x2022)+~E(x2021,x2022) % 5.99/5.93 [203]~P19(x2031)+P19(x2032)+~E(x2031,x2032) % 5.99/5.93 [204]~P7(x2041)+P7(x2042)+~E(x2041,x2042) % 5.99/5.93 % 5.99/5.93 %------------------------------------------- % 5.99/5.95 cnf(1838,plain, % 5.99/5.95 (P9(x18381,x18382,x18382)+~P45(x18381)), % 5.99/5.95 inference(equality_inference,[],[769])). % 5.99/5.95 cnf(1849,plain, % 5.99/5.95 (E(f12(a1,x18491,f10(a1,x18491)),f3(a1))), % 5.99/5.95 inference(equality_inference,[],[819])). % 5.99/5.95 cnf(1854,plain, % 5.99/5.95 (P9(a1,f27(a69,f3(a69)),f3(a1))), % 5.99/5.95 inference(equality_inference,[],[837])). % 5.99/5.95 cnf(1855,plain, % 5.99/5.95 (~P10(a1,x18551,x18551)), % 5.99/5.95 inference(equality_inference,[],[846])). % 5.99/5.95 cnf(1857,plain, % 5.99/5.95 (~P10(a70,x18571,x18571)), % 5.99/5.95 inference(equality_inference,[],[852])). % 5.99/5.95 cnf(1866,plain, % 5.99/5.95 (~P64(x18661)+~P69(x18661)+~P77(x18661)+~P28(x18661)+E(x18662,f3(a69))+E(f54(f54(f21(x18661),f3(x18661)),x18662),f3(x18661))), % 5.99/5.95 inference(equality_inference,[],[902])). % 5.99/5.95 cnf(1869,plain, % 5.99/5.95 (E(f54(f54(f11(a69),f3(a69)),x18691),f54(f54(f11(a69),f3(a69)),x18692))), % 5.99/5.95 inference(equality_inference,[],[906])). % 5.99/5.95 cnf(1882,plain, % 5.99/5.95 (P10(a69,f3(a69),f54(f54(f21(a69),x18821),f3(a69)))), % 5.99/5.95 inference(equality_inference,[],[1059])). % 5.99/5.95 cnf(1883,plain, % 5.99/5.95 (P10(a70,x18831,f12(a70,x18831,f4(a70)))), % 5.99/5.95 inference(equality_inference,[],[1065])). % 5.99/5.95 cnf(1893,plain, % 5.99/5.95 (~P9(a69,x18931,x18932)+E(x18932,f12(a69,f9(a69,x18932,x18931),x18931))), % 5.99/5.95 inference(equality_inference,[],[1215])). % 5.99/5.95 cnf(1898,plain, % 5.99/5.95 (P10(a70,f3(a70),f54(f54(f21(a70),f8(a70,x18981)),f3(a69)))), % 5.99/5.95 inference(equality_inference,[],[1269])). % 5.99/5.95 cnf(1910,plain, % 5.99/5.95 (~P9(a69,x19101,x19101)+E(x19102,f12(a69,f54(f54(f11(a69),f9(a69,x19101,x19101)),x19103),x19102))), % 5.99/5.95 inference(equality_inference,[],[1755])). % 5.99/5.95 cnf(1911,plain, % 5.99/5.95 (~P9(a69,x19111,x19111)+E(f12(a69,f54(f54(f11(a69),f9(a69,x19111,x19111)),x19112),x19113),x19113)), % 5.99/5.95 inference(equality_inference,[],[1756])). % 5.99/5.95 cnf(1914,plain, % 5.99/5.95 (~P9(a69,x19141,x19142)+E(f12(a69,f54(f54(f11(a69),x19142),x19143),x19144),f12(a69,f54(f54(f11(a69),x19141),x19143),f12(a69,f54(f54(f11(a69),f9(a69,x19142,x19141)),x19143),x19144)))), % 5.99/5.95 inference(equality_inference,[],[1764])). % 5.99/5.95 cnf(1918,plain, % 5.99/5.95 (~E(f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))), % 5.99/5.95 inference(scs_inference,[],[607,741])). % 5.99/5.95 cnf(1920,plain, % 5.99/5.95 (P9(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))))), % 5.99/5.95 inference(scs_inference,[],[607,741,925])). % 5.99/5.95 cnf(1922,plain, % 5.99/5.95 (~P10(a1,f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83)))),f54(f54(f11(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),a74))), % 5.99/5.95 inference(scs_inference,[],[607,741,925,992])). % 5.99/5.95 cnf(1924,plain, % 5.99/5.95 (P9(a1,x19241,f8(a1,x19241))), % 5.99/5.95 inference(scs_inference,[],[607,447,741,925,992,1078])). % 5.99/5.95 cnf(1925,plain, % 5.99/5.95 (P9(a1,x19251,x19251)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(1930,plain, % 5.99/5.95 (~P10(a1,x19301,x19301)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(1933,plain, % 5.99/5.95 (~P10(a70,x19331,x19331)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(1935,plain, % 5.99/5.95 (~E(x19351,f12(a1,f27(a69,f25(x19351)),f4(a1)))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,447,406,515,741,925,992,1078,1838,798,799,846])). % 5.99/5.95 cnf(1939,plain, % 5.99/5.95 (~E(x19391,f12(a70,x19391,f4(a70)))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,447,1883,1882,406,515,741,925,992,1078,1838,798,799,846,851,852])). % 5.99/5.95 cnf(1941,plain, % 5.99/5.95 (~P10(a69,x19411,f9(a69,x19412,x19412))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,447,1883,1882,461,406,515,741,925,992,1078,1838,798,799,846,851,852,864])). % 5.99/5.95 cnf(1945,plain, % 5.99/5.95 (~P11(x19451,x19452,f15(a2,f23(a2,f26(a2,f54(f15(a2,a80),f3(a2))),a80)))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,447,1883,1882,461,395,406,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945])). % 5.99/5.95 cnf(1948,plain, % 5.99/5.95 (E(f14(f27(a69,x19481)),x19481)), % 5.99/5.95 inference(rename_variables,[],[440])). % 5.99/5.95 cnf(1951,plain, % 5.99/5.95 (E(f9(a69,f12(a69,x19511,x19512),x19512),x19511)), % 5.99/5.95 inference(rename_variables,[],[498])). % 5.99/5.95 cnf(1953,plain, % 5.99/5.95 (~P9(a70,f4(a70),f3(a70))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,447,1883,1882,461,395,406,440,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022])). % 5.99/5.95 cnf(1954,plain, % 5.99/5.95 (~P10(a70,x19541,x19541)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(1957,plain, % 5.99/5.95 (P10(a1,x19571,f12(a1,f27(a69,f25(x19571)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(1959,plain, % 5.99/5.95 (~E(f12(a70,x19591,f4(a70)),x19591)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,447,1883,1882,461,395,406,440,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065])). % 5.99/5.95 cnf(1960,plain, % 5.99/5.95 (~P10(a70,x19601,x19601)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(1962,plain, % 5.99/5.95 (P9(a69,x19621,f25(f27(a69,x19621)))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,447,1925,1883,1882,461,395,406,440,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088])). % 5.99/5.95 cnf(1963,plain, % 5.99/5.95 (P9(a1,x19631,x19631)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(1965,plain, % 5.99/5.95 (P9(a69,f14(f27(a69,x19651)),x19651)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,447,1925,1963,1883,1882,461,395,406,440,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089])). % 5.99/5.95 cnf(1966,plain, % 5.99/5.95 (P9(a1,x19661,x19661)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(1968,plain, % 5.99/5.95 (P9(a69,x19681,f14(f27(a69,x19681)))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,447,1925,1963,1883,1882,461,395,406,440,480,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187])). % 5.99/5.95 cnf(1969,plain, % 5.99/5.95 (P9(a1,x19691,f27(a69,f14(x19691)))), % 5.99/5.95 inference(rename_variables,[],[480])). % 5.99/5.95 cnf(1972,plain, % 5.99/5.95 (~P10(a69,f12(a69,x19721,x19722),x19722)), % 5.99/5.95 inference(rename_variables,[],[600])). % 5.99/5.95 cnf(1975,plain, % 5.99/5.95 (~P10(a69,f12(a69,x19751,x19752),x19752)), % 5.99/5.95 inference(rename_variables,[],[600])). % 5.99/5.95 cnf(1977,plain, % 5.99/5.95 (~P10(a69,x19771,f9(a69,x19771,x19772))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,447,1925,1963,590,1883,1882,600,1972,461,395,406,440,480,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259])). % 5.99/5.95 cnf(1978,plain, % 5.99/5.95 (~P10(a69,x19781,x19781)), % 5.99/5.95 inference(rename_variables,[],[590])). % 5.99/5.95 cnf(1980,plain, % 5.99/5.95 (~P10(a70,f12(a70,x19801,f4(a70)),x19801)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,447,1925,1963,590,1883,1882,600,1972,461,395,406,440,480,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273])). % 5.99/5.95 cnf(1981,plain, % 5.99/5.95 (~P10(a70,x19811,x19811)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(1983,plain, % 5.99/5.95 (~P9(a70,f12(a70,x19831,f4(a70)),x19831)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,590,1883,1882,600,1972,461,395,406,440,480,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274])). % 5.99/5.95 cnf(1984,plain, % 5.99/5.95 (~P10(a70,x19841,x19841)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(1986,plain, % 5.99/5.95 (~P10(a70,f12(a70,f9(a70,x19861,f4(a70)),f4(a70)),x19861)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,590,1883,1882,600,1972,461,395,406,440,480,498,515,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275])). % 5.99/5.95 cnf(1989,plain, % 5.99/5.95 (P10(a1,x19891,f12(a1,f27(a69,f25(x19891)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(1992,plain, % 5.99/5.95 (~P10(a1,f12(a1,f8(a1,x19921),f4(a1)),x19921)), % 5.99/5.95 inference(rename_variables,[],[603])). % 5.99/5.95 cnf(1997,plain, % 5.99/5.95 (P9(a69,x19971,f12(a69,x19972,x19971))), % 5.99/5.95 inference(rename_variables,[],[495])). % 5.99/5.95 cnf(2000,plain, % 5.99/5.95 (P9(a69,x20001,f12(a69,x20002,x20001))), % 5.99/5.95 inference(rename_variables,[],[495])). % 5.99/5.95 cnf(2002,plain, % 5.99/5.95 (P10(a70,f9(a70,x20021,f4(a70)),x20021)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,449,590,1883,1882,495,1997,600,1972,461,395,406,440,480,498,515,1957,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363])). % 5.99/5.95 cnf(2003,plain, % 5.99/5.95 (P9(a70,x20031,x20031)), % 5.99/5.95 inference(rename_variables,[],[449])). % 5.99/5.95 cnf(2005,plain, % 5.99/5.95 (P9(a70,f9(a70,f12(a70,x20051,f4(a70)),f4(a70)),x20051)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,449,590,1883,1882,495,1997,600,1972,461,395,406,440,480,498,515,1957,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364])). % 5.99/5.95 cnf(2008,plain, % 5.99/5.95 (P10(a1,x20081,f12(a1,f27(a69,f25(x20081)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(2012,plain, % 5.99/5.95 (~P10(a70,f9(a70,f12(a70,x20121,f4(a70)),f4(a70)),x20121)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,449,590,1883,1882,495,1997,600,1972,461,395,406,440,480,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419])). % 5.99/5.95 cnf(2014,plain, % 5.99/5.95 (P10(a1,x20141,f27(a69,f12(a69,f25(x20141),f4(a69))))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,448,449,590,1883,1882,495,1997,600,1972,461,395,406,440,480,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431])). % 5.99/5.95 cnf(2015,plain, % 5.99/5.95 (P9(a69,x20151,x20151)), % 5.99/5.95 inference(rename_variables,[],[448])). % 5.99/5.95 cnf(2017,plain, % 5.99/5.95 (~P10(a69,f12(a69,f9(a69,x20171,x20172),x20172),x20171)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,448,449,590,1978,1883,1882,495,1997,600,1972,461,395,406,440,480,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497])). % 5.99/5.95 cnf(2018,plain, % 5.99/5.95 (~P10(a69,x20181,x20181)), % 5.99/5.95 inference(rename_variables,[],[590])). % 5.99/5.95 cnf(2020,plain, % 5.99/5.95 (~P10(a69,x20201,f9(a69,f12(a69,x20201,x20202),x20202))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,448,449,590,1978,2018,1883,1882,495,1997,600,1972,461,395,406,440,480,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499])). % 5.99/5.95 cnf(2021,plain, % 5.99/5.95 (~P10(a69,x20211,x20211)), % 5.99/5.95 inference(rename_variables,[],[590])). % 5.99/5.95 cnf(2023,plain, % 5.99/5.95 (P10(a69,x20231,f14(f12(a1,f27(a69,x20231),f4(a1))))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,448,449,590,1978,2018,1883,1882,495,1997,600,1972,461,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520])). % 5.99/5.95 cnf(2024,plain, % 5.99/5.95 (P9(a1,x20241,f27(a69,f14(x20241)))), % 5.99/5.95 inference(rename_variables,[],[480])). % 5.99/5.95 cnf(2026,plain, % 5.99/5.95 (P9(a69,x20261,f12(a69,f12(a69,x20262,x20261),x20263))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,448,449,590,1978,2018,1883,1882,495,1997,600,1972,461,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598])). % 5.99/5.95 cnf(2030,plain, % 5.99/5.95 (E(x20301,f12(a69,f54(f54(f11(a69),f9(a69,x20302,x20302)),x20303),x20301))), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,448,2015,449,590,1978,2018,1883,1882,495,1997,600,1972,461,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910])). % 5.99/5.95 cnf(2032,plain, % 5.99/5.95 (E(f12(a69,f54(f54(f11(a69),f9(a69,x20321,x20321)),x20322),x20323),x20323)), % 5.99/5.95 inference(scs_inference,[],[607,1855,1857,1933,1954,1960,1981,447,1925,1963,448,2015,449,590,1978,2018,1883,1882,495,1997,600,1972,461,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911])). % 5.99/5.95 cnf(2038,plain, % 5.99/5.95 (P11(x20381,x20382,f54(f11(a69),f3(a69)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,448,2015,449,590,1978,2018,1883,1882,495,1997,600,1972,461,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959])). % 5.99/5.95 cnf(2039,plain, % 5.99/5.95 (E(f54(f54(f11(a69),f3(a69)),x20391),f54(f54(f11(a69),f3(a69)),x20392))), % 5.99/5.95 inference(rename_variables,[],[1869])). % 5.99/5.95 cnf(2041,plain, % 5.99/5.95 (~P10(a70,f4(a70),f3(a70))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,448,2015,449,590,1978,2018,1883,1882,495,1997,600,1972,461,394,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027])). % 5.99/5.95 cnf(2043,plain, % 5.99/5.95 (P9(a70,x20431,f8(a70,x20431))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,448,2015,449,2003,590,1978,2018,1883,1882,495,1997,600,1972,461,345,394,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132])). % 5.99/5.95 cnf(2046,plain, % 5.99/5.95 (P9(a70,f12(a70,f3(a70),f4(a70)),f4(a70))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,448,2015,449,2003,590,1978,2018,1883,1882,495,1997,600,1972,461,345,382,394,395,406,440,480,1969,498,515,1957,1989,603,504,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385])). % 5.99/5.95 cnf(2048,plain, % 5.99/5.95 (~P10(a1,f3(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,448,2015,449,2003,590,1978,2018,1883,1882,495,1997,600,1972,461,345,382,394,395,406,440,480,1969,498,515,1957,1989,603,504,555,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510])). % 5.99/5.95 cnf(2050,plain, % 5.99/5.95 (P9(f12(a69,f9(a69,a1,a1),a1),x20501,x20501)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1883,1882,495,1997,600,1972,461,345,382,394,395,406,440,480,1969,498,515,1957,1989,603,504,555,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118])). % 5.99/5.95 cnf(2052,plain, % 5.99/5.95 (P9(a1,x20521,x20521)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2066,plain, % 5.99/5.95 (~E(f8(a1,f4(a1)),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,406,440,480,1969,498,515,1957,1989,603,504,555,222,257,302,307,370,585,588,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713])). % 5.99/5.95 cnf(2070,plain, % 5.99/5.95 (~E(f13(a70,f4(a70)),f3(a70))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,406,440,480,1969,498,515,1957,1989,603,504,555,205,222,250,257,302,307,370,585,586,588,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715])). % 5.99/5.95 cnf(2077,plain, % 5.99/5.95 (E(f14(f27(a69,x20771)),x20771)), % 5.99/5.95 inference(rename_variables,[],[440])). % 5.99/5.95 cnf(2079,plain, % 5.99/5.95 (~E(f10(a1,f12(a70,f10(a1,x20791),f4(a70))),x20791)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,406,440,1948,480,1969,498,515,1957,1989,603,504,555,205,222,250,257,258,302,307,308,318,370,585,586,578,588,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724])). % 5.99/5.95 cnf(2081,plain, % 5.99/5.95 (~E(a80,f3(f72(a2)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,406,440,1948,480,1969,498,515,1957,1989,603,504,555,205,222,250,257,258,264,302,307,308,318,370,585,586,578,588,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787])). % 5.99/5.95 cnf(2083,plain, % 5.99/5.95 (~E(x20831,f10(a70,f12(a70,f4(a70),x20831)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,406,440,1948,480,1969,498,515,1957,1989,603,504,555,205,222,250,257,258,259,264,302,307,308,318,370,585,586,578,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862])). % 5.99/5.95 cnf(2093,plain, % 5.99/5.95 (~E(f12(a1,x20931,f4(a1)),x20931)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,555,205,222,250,257,258,259,264,302,307,308,318,370,388,585,586,578,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912])). % 5.99/5.95 cnf(2095,plain, % 5.99/5.95 (~P24(a69)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,471,555,205,222,250,257,258,259,264,302,307,308,318,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915])). % 5.99/5.95 cnf(2096,plain, % 5.99/5.95 (E(f9(a69,f3(a69),x20961),f3(a69))), % 5.99/5.95 inference(rename_variables,[],[471])). % 5.99/5.95 cnf(2098,plain, % 5.99/5.95 (~P16(a69)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,471,2096,555,205,222,250,257,258,259,264,302,307,308,318,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916])). % 5.99/5.95 cnf(2101,plain, % 5.99/5.95 (P9(a1,f8(a1,f12(a1,x21011,f10(a1,x21011))),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,471,2096,555,205,222,250,257,258,259,264,302,307,308,318,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917])). % 5.99/5.95 cnf(2110,plain, % 5.99/5.95 (~E(f12(a1,x21101,f10(a1,f12(a70,f10(a1,f10(a1,x21101)),f4(a70)))),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,471,2096,450,555,205,222,250,257,258,259,264,302,306,307,308,318,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946])). % 5.99/5.95 cnf(2112,plain, % 5.99/5.95 (~E(f12(a1,f10(a1,f12(a70,f10(a1,f10(a1,x21121)),f4(a70))),x21121),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,471,2096,450,555,205,222,250,257,258,259,264,302,306,307,308,318,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947])). % 5.99/5.95 cnf(2120,plain, % 5.99/5.95 (E(f9(a69,f9(a69,x21201,x21201),x21202),f9(a69,x21201,x21201))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,471,2096,450,555,205,222,250,257,258,259,264,302,306,307,308,309,318,324,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012])). % 5.99/5.95 cnf(2121,plain, % 5.99/5.95 (P9(a69,f9(a69,x21211,x21212),x21211)), % 5.99/5.95 inference(rename_variables,[],[497])). % 5.99/5.95 cnf(2125,plain, % 5.99/5.95 (~P9(a1,f8(a1,f4(a1)),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,600,1972,461,344,345,382,394,395,400,403,406,440,1948,480,1969,498,515,1957,1989,603,504,471,2096,450,555,205,222,250,257,258,259,264,302,306,307,308,309,318,324,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030])). % 5.99/5.95 cnf(2130,plain, % 5.99/5.95 (P9(a1,f3(a1),f27(a69,x21301))), % 5.99/5.95 inference(rename_variables,[],[479])). % 5.99/5.95 cnf(2133,plain, % 5.99/5.95 (P9(a69,f9(a69,x21331,x21332),x21331)), % 5.99/5.95 inference(rename_variables,[],[497])). % 5.99/5.95 cnf(2134,plain, % 5.99/5.95 (P9(a69,f3(a69),x21341)), % 5.99/5.95 inference(rename_variables,[],[463])). % 5.99/5.95 cnf(2137,plain, % 5.99/5.95 (E(f9(a69,f12(a69,x21371,x21372),x21372),x21371)), % 5.99/5.95 inference(rename_variables,[],[498])). % 5.99/5.95 cnf(2140,plain, % 5.99/5.95 (~P10(a1,f12(a1,f27(a69,f25(x21401)),f4(a1)),x21401)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,461,479,344,345,382,392,394,395,400,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,205,222,250,257,258,259,264,302,306,307,308,309,318,324,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093])). % 5.99/5.95 cnf(2142,plain, % 5.99/5.95 (~P9(a1,f12(a1,f27(a69,f25(x21421)),f4(a1)),x21421)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,461,479,344,345,382,392,394,395,400,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,205,222,250,257,258,259,264,302,306,307,308,309,318,324,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094])). % 5.99/5.95 cnf(2148,plain, % 5.99/5.95 (P10(a1,x21481,f12(a1,f27(a69,f25(f8(a1,x21481))),f4(a1)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,461,479,344,345,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,318,324,351,370,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130])). % 5.99/5.95 cnf(2149,plain, % 5.99/5.95 (P10(a1,x21491,f12(a1,f27(a69,f25(x21491)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(2154,plain, % 5.99/5.95 (~P10(a69,x21541,f3(a69))), % 5.99/5.95 inference(rename_variables,[],[593])). % 5.99/5.95 cnf(2157,plain, % 5.99/5.95 (~P10(a1,x21571,x21571)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2161,plain, % 5.99/5.95 (~P10(a1,f10(a1,f3(a1)),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,1857,1933,1954,1960,1981,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,593,461,479,344,345,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158])). % 5.99/5.95 cnf(2162,plain, % 5.99/5.95 (~P10(a1,x21621,x21621)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2165,plain, % 5.99/5.95 (~P10(a70,x21651,x21651)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(2168,plain, % 5.99/5.95 (~P10(a1,x21681,x21681)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2170,plain, % 5.99/5.95 (~P9(a70,f3(a70),f10(a70,f4(a70)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,1857,1933,1954,1960,1981,1984,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,593,461,479,344,345,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174])). % 5.99/5.95 cnf(2173,plain, % 5.99/5.95 (~P10(a1,x21731,x21731)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2176,plain, % 5.99/5.95 (~P10(a1,x21761,x21761)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2178,plain, % 5.99/5.95 (~P9(a1,f26(a1,f8(a1,f4(a1))),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,1857,1933,1954,1960,1981,1984,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,593,461,479,344,345,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178])). % 5.99/5.95 cnf(2181,plain, % 5.99/5.95 (~P10(a1,x21811,x21811)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2184,plain, % 5.99/5.95 (~P10(a1,x21841,x21841)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2187,plain, % 5.99/5.95 (~P10(a1,x21871,x21871)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2189,plain, % 5.99/5.95 (~P9(a1,f4(a1),f26(a1,f3(a1)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,1857,1933,1954,1960,1981,1984,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,593,461,479,344,345,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182])). % 5.99/5.95 cnf(2190,plain, % 5.99/5.95 (~P10(a1,x21901,x21901)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2193,plain, % 5.99/5.95 (~P10(a70,x21931,x21931)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(2198,plain, % 5.99/5.95 (~P10(a1,x21981,x21981)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2203,plain, % 5.99/5.95 (~P10(a1,x22031,x22031)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2206,plain, % 5.99/5.95 (~P10(a1,x22061,x22061)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2208,plain, % 5.99/5.95 (~P9(a70,f10(a70,f3(a70)),f10(a70,f4(a70)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,1857,1933,1954,1960,1981,1984,2165,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,600,1972,463,593,461,479,344,345,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202])). % 5.99/5.95 cnf(2212,plain, % 5.99/5.95 (P9(a69,f9(a69,f3(a69),x22121),x22122)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,1857,1933,1954,1960,1981,1984,2165,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211])). % 5.99/5.95 cnf(2215,plain, % 5.99/5.95 (~E(f9(a69,f12(a1,f12(a69,x22151,f3(a69)),f4(a1)),f3(a69)),x22151)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,1857,1933,1954,1960,1981,1984,2165,447,1925,1963,1966,448,2015,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215])). % 5.99/5.95 cnf(2216,plain, % 5.99/5.95 (P9(a69,f3(a69),x22161)), % 5.99/5.95 inference(rename_variables,[],[463])). % 5.99/5.95 cnf(2219,plain, % 5.99/5.95 (P9(a69,x22191,x22191)), % 5.99/5.95 inference(rename_variables,[],[448])). % 5.99/5.95 cnf(2221,plain, % 5.99/5.95 (P9(a1,f27(a69,f25(f3(a1))),f3(a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,1857,1933,1954,1960,1981,1984,2165,447,1925,1963,1966,2052,448,2015,2219,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293])). % 5.99/5.95 cnf(2222,plain, % 5.99/5.95 (P9(a1,x22221,x22221)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2223,plain, % 5.99/5.95 (P9(a69,x22231,x22231)), % 5.99/5.95 inference(rename_variables,[],[448])). % 5.99/5.95 cnf(2228,plain, % 5.99/5.95 (P9(a1,x22281,x22281)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2230,plain, % 5.99/5.95 (P9(a1,f8(a1,f10(a1,f28(a2,x22301))),f28(a2,x22301))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,1857,1933,1954,1960,1981,1984,2165,447,1925,1963,1966,2052,2222,2228,448,2015,2219,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,494,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327])). % 5.99/5.95 cnf(2231,plain, % 5.99/5.95 (P9(a1,x22311,x22311)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2233,plain, % 5.99/5.95 (P10(a69,x22331,f12(a69,x22331,f54(f54(f21(a69),x22332),f3(a69))))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,1857,1933,1954,1960,1981,1984,2165,447,1925,1963,1966,2052,2222,2228,448,2015,2219,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,467,494,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358])). % 5.99/5.95 cnf(2237,plain, % 5.99/5.95 (~P10(a1,x22371,x22371)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2240,plain, % 5.99/5.95 (~P10(a70,x22401,x22401)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(2245,plain, % 5.99/5.95 (~P10(a1,x22451,x22451)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2247,plain, % 5.99/5.95 (~P9(a70,f3(a70),f12(a70,f10(a70,f4(a70)),f10(a70,f4(a70))))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,467,494,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403])). % 5.99/5.95 cnf(2252,plain, % 5.99/5.95 (~P10(a1,f12(a1,f8(a1,x22521),f4(a1)),x22521)), % 5.99/5.95 inference(rename_variables,[],[603])). % 5.99/5.95 cnf(2254,plain, % 5.99/5.95 (~P10(a69,f9(a69,f12(a69,x22541,x22542),x22542),x22541)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,603,1992,467,494,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441])). % 5.99/5.95 cnf(2262,plain, % 5.99/5.95 (P10(a1,x22621,f27(a69,f25(f12(a1,x22621,f4(a1)))))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,603,1992,467,494,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606])). % 5.99/5.95 cnf(2263,plain, % 5.99/5.95 (P10(a1,x22631,f12(a1,f27(a69,f25(x22631)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(2266,plain, % 5.99/5.95 (P9(a69,x22661,x22661)), % 5.99/5.95 inference(rename_variables,[],[448])). % 5.99/5.95 cnf(2268,plain, % 5.99/5.95 (P10(a1,x22681,f12(a1,x22682,f12(a1,f27(a69,f25(f8(a1,f9(a1,x22681,x22682)))),f4(a1))))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,603,1992,467,494,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708])). % 5.99/5.95 cnf(2269,plain, % 5.99/5.95 (P10(a1,x22691,f12(a1,f27(a69,f25(x22691)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(2271,plain, % 5.99/5.95 (P10(a1,f9(a1,x22711,f12(a1,f27(a69,f25(f8(a1,f9(a1,x22712,x22711)))),f4(a1))),x22712)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,497,2121,2133,600,1972,463,2134,593,461,479,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709])). % 5.99/5.95 cnf(2272,plain, % 5.99/5.95 (P10(a1,x22721,f12(a1,f27(a69,f25(x22721)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(2275,plain, % 5.99/5.95 (E(f12(a69,f54(f54(f11(a69),x22751),x22752),f12(a69,f54(f54(f11(a69),x22753),x22752),x22754)),f12(a69,f54(f54(f11(a69),f12(a69,x22751,x22753)),x22752),x22754))), % 5.99/5.95 inference(rename_variables,[],[557])). % 5.99/5.95 cnf(2276,plain, % 5.99/5.95 (P9(a69,x22761,f12(a69,x22762,x22761))), % 5.99/5.95 inference(rename_variables,[],[495])). % 5.99/5.95 cnf(2278,plain, % 5.99/5.95 (E(f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f12(a69,f3(a69),f3(a69)))),x22781),f12(a69,f54(f54(f11(a69),f3(a69)),x22781),x22782)),x22782)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,593,461,479,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756])). % 5.99/5.95 cnf(2281,plain, % 5.99/5.95 (P9(a69,x22811,f12(a69,f54(f54(f11(a69),f9(a69,x22812,x22812)),x22813),f12(a69,x22814,f12(a69,f54(f54(f11(a69),x22812),x22813),x22811))))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,2266,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,593,461,479,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783])). % 5.99/5.95 cnf(2283,plain, % 5.99/5.95 (P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f3(a69))),x22831),x22832),x22832)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,2266,449,2003,590,1978,2018,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785])). % 5.99/5.95 cnf(2284,plain, % 5.99/5.95 (P9(a69,x22841,x22841)), % 5.99/5.95 inference(rename_variables,[],[448])). % 5.99/5.95 cnf(2285,plain, % 5.99/5.95 (P9(a69,f3(a69),x22851)), % 5.99/5.95 inference(rename_variables,[],[463])). % 5.99/5.95 cnf(2288,plain, % 5.99/5.95 (~P10(a1,x22881,x22881)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2291,plain, % 5.99/5.95 (~P10(a1,x22911,x22911)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2293,plain, % 5.99/5.95 (~P10(a69,x22931,f12(a69,f54(f54(f11(a69),f9(a69,x22932,x22932)),x22933),x22931))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791])). % 5.99/5.95 cnf(2294,plain, % 5.99/5.95 (~P10(a69,x22941,x22941)), % 5.99/5.95 inference(rename_variables,[],[590])). % 5.99/5.95 cnf(2296,plain, % 5.99/5.95 (~P10(a69,f12(a69,f54(f54(f11(a69),f9(a69,x22961,x22961)),x22962),f12(a69,x22963,f12(a69,f54(f54(f11(a69),x22961),x22962),x22964))),x22964)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793])). % 5.99/5.95 cnf(2298,plain, % 5.99/5.95 (~P10(a1,x22981,f12(a1,f54(f54(f11(a1),f9(a1,x22982,x22982)),x22983),x22981))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795])). % 5.99/5.95 cnf(2299,plain, % 5.99/5.95 (~P10(a1,x22991,x22991)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2302,plain, % 5.99/5.95 (~P10(a1,x23021,x23021)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2305,plain, % 5.99/5.95 (P9(a1,x23051,x23051)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2308,plain, % 5.99/5.95 (P1(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113])). % 5.99/5.95 cnf(2309,plain, % 5.99/5.95 (P10(f12(a69,f9(a69,a1,a1),a1),x23091,f12(a1,f27(a69,f25(x23091)),f4(a1)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,1849,1883,1854,1882,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114])). % 5.99/5.95 cnf(2311,plain, % 5.99/5.95 (~P10(a70,x23111,x23111)), % 5.99/5.95 inference(rename_variables,[],[1857])). % 5.99/5.95 cnf(2314,plain, % 5.99/5.95 (P62(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,286,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121])). % 5.99/5.95 cnf(2315,plain, % 5.99/5.95 (~P32(f14(f27(a69,a69)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,286,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127])). % 5.99/5.95 cnf(2316,plain, % 5.99/5.95 (E(f14(f27(a69,x23161)),x23161)), % 5.99/5.95 inference(rename_variables,[],[440])). % 5.99/5.95 cnf(2317,plain, % 5.99/5.95 (P65(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128])). % 5.99/5.95 cnf(2318,plain, % 5.99/5.95 (P15(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129])). % 5.99/5.95 cnf(2320,plain, % 5.99/5.95 (P33(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139])). % 5.99/5.95 cnf(2321,plain, % 5.99/5.95 (P30(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142])). % 5.99/5.95 cnf(2322,plain, % 5.99/5.95 (P42(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143])). % 5.99/5.95 cnf(2323,plain, % 5.99/5.95 (P72(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144])). % 5.99/5.95 cnf(2324,plain, % 5.99/5.95 (P40(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160])). % 5.99/5.95 cnf(2325,plain, % 5.99/5.95 (P73(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172])). % 5.99/5.95 cnf(2326,plain, % 5.99/5.95 (P74(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201])). % 5.99/5.95 cnf(2327,plain, % 5.99/5.95 (P49(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117])). % 5.99/5.95 cnf(2328,plain, % 5.99/5.95 (P2(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122])). % 5.99/5.95 cnf(2329,plain, % 5.99/5.95 (P3(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124])). % 5.99/5.95 cnf(2330,plain, % 5.99/5.95 (P53(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125])). % 5.99/5.95 cnf(2331,plain, % 5.99/5.95 (P4(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126])). % 5.99/5.95 cnf(2332,plain, % 5.99/5.95 (P28(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130])). % 5.99/5.95 cnf(2333,plain, % 5.99/5.95 (P58(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131])). % 5.99/5.95 cnf(2334,plain, % 5.99/5.95 (P46(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,249,250,257,258,259,264,302,306,307,308,309,314,318,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136])). % 5.99/5.95 cnf(2335,plain, % 5.99/5.95 (P57(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137])). % 5.99/5.95 cnf(2336,plain, % 5.99/5.95 (P63(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138])). % 5.99/5.95 cnf(2337,plain, % 5.99/5.95 (P64(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141])). % 5.99/5.95 cnf(2338,plain, % 5.99/5.95 (P69(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145])). % 5.99/5.95 cnf(2339,plain, % 5.99/5.95 (P6(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146])). % 5.99/5.95 cnf(2341,plain, % 5.99/5.95 (E(f14(f27(a69,x23411)),x23411)), % 5.99/5.95 inference(rename_variables,[],[440])). % 5.99/5.95 cnf(2342,plain, % 5.99/5.95 (P26(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148])). % 5.99/5.95 cnf(2343,plain, % 5.99/5.95 (P77(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149])). % 5.99/5.95 cnf(2344,plain, % 5.99/5.95 (P78(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,243,249,250,257,258,259,264,302,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150])). % 5.99/5.95 cnf(2345,plain, % 5.99/5.95 (P47(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,243,249,250,257,258,259,264,302,304,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153])). % 5.99/5.95 cnf(2346,plain, % 5.99/5.95 (P5(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,249,250,257,258,259,264,302,304,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154])). % 5.99/5.95 cnf(2347,plain, % 5.99/5.95 (P55(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,249,250,257,258,259,264,302,304,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155])). % 5.99/5.95 cnf(2348,plain, % 5.99/5.95 (P48(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,264,302,304,306,307,308,309,314,318,323,324,331,338,351,370,371,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158])). % 5.99/5.95 cnf(2349,plain, % 5.99/5.95 (P35(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,264,302,304,306,307,308,309,314,318,323,324,331,338,351,370,371,378,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159])). % 5.99/5.95 cnf(2350,plain, % 5.99/5.95 (P70(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,302,304,306,307,308,309,314,318,323,324,331,338,351,370,371,378,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161])). % 5.99/5.95 cnf(2351,plain, % 5.99/5.95 (P8(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,302,304,306,307,308,309,314,318,321,323,324,331,338,351,370,371,378,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162])). % 5.99/5.95 cnf(2352,plain, % 5.99/5.95 (P50(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,302,304,306,307,308,309,314,318,321,323,324,331,338,351,370,371,378,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163])). % 5.99/5.95 cnf(2353,plain, % 5.99/5.95 (P75(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,302,304,306,307,308,309,312,314,318,321,323,324,331,338,351,370,371,378,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164])). % 5.99/5.95 cnf(2354,plain, % 5.99/5.95 (P56(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,302,304,306,307,308,309,312,314,318,321,323,324,331,338,351,370,371,378,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165])). % 5.99/5.95 cnf(2355,plain, % 5.99/5.95 (P60(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,299,302,304,306,307,308,309,312,314,318,321,323,324,331,338,351,370,371,378,379,388,396,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166])). % 5.99/5.95 cnf(2356,plain, % 5.99/5.95 (P38(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,299,302,304,306,307,308,309,312,314,318,321,323,324,331,338,351,370,371,378,379,388,396,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167])). % 5.99/5.95 cnf(2357,plain, % 5.99/5.95 (P39(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,351,370,371,378,379,388,396,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168])). % 5.99/5.95 cnf(2358,plain, % 5.99/5.95 (P54(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,257,258,259,260,264,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,341,351,370,371,378,379,388,396,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169])). % 5.99/5.95 cnf(2359,plain, % 5.99/5.95 (P66(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,264,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,341,351,370,371,378,379,388,396,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170])). % 5.99/5.95 cnf(2360,plain, % 5.99/5.95 (P29(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,264,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,341,351,370,371,378,379,388,396,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171])). % 5.99/5.95 cnf(2363,plain, % 5.99/5.95 (P27(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,264,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,341,351,370,371,378,379,388,396,408,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174])). % 5.99/5.95 cnf(2364,plain, % 5.99/5.95 (P61(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,264,284,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,341,351,370,371,378,379,388,396,408,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175])). % 5.99/5.95 cnf(2365,plain, % 5.99/5.95 (P51(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,284,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,341,351,370,371,378,379,388,396,408,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176])). % 5.99/5.95 cnf(2366,plain, % 5.99/5.95 (P34(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,284,299,302,304,306,307,308,309,312,314,318,321,323,324,331,335,338,341,351,370,371,375,378,379,388,396,408,417,585,586,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178])). % 5.99/5.95 cnf(2368,plain, % 5.99/5.95 (P17(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,284,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,388,396,408,417,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182])). % 5.99/5.95 cnf(2369,plain, % 5.99/5.95 (P59(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,284,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183])). % 5.99/5.95 cnf(2370,plain, % 5.99/5.95 (P52(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,284,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184])). % 5.99/5.95 cnf(2371,plain, % 5.99/5.95 (P71(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185])). % 5.99/5.95 cnf(2372,plain, % 5.99/5.95 (P36(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,383,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186])). % 5.99/5.95 cnf(2373,plain, % 5.99/5.95 (P41(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,383,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187])). % 5.99/5.95 cnf(2374,plain, % 5.99/5.95 (P79(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,383,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188])). % 5.99/5.95 cnf(2375,plain, % 5.99/5.95 (P22(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189])). % 5.99/5.95 cnf(2376,plain, % 5.99/5.95 (P21(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,354,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190])). % 5.99/5.95 cnf(2377,plain, % 5.99/5.95 (P76(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,276,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,354,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191])). % 5.99/5.95 cnf(2378,plain, % 5.99/5.95 (P67(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,354,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192])). % 5.99/5.95 cnf(2379,plain, % 5.99/5.95 (P31(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,354,362,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193])). % 5.99/5.95 cnf(2380,plain, % 5.99/5.95 (P25(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194])). % 5.99/5.95 cnf(2381,plain, % 5.99/5.95 (P80(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195])). % 5.99/5.95 cnf(2382,plain, % 5.99/5.95 (P20(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,350,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196])). % 5.99/5.95 cnf(2383,plain, % 5.99/5.95 (P68(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,350,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197])). % 5.99/5.95 cnf(2384,plain, % 5.99/5.95 (P81(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,350,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198])). % 5.99/5.95 cnf(2385,plain, % 5.99/5.95 (P18(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199])). % 5.99/5.95 cnf(2386,plain, % 5.99/5.95 (P23(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200])). % 5.99/5.95 cnf(2387,plain, % 5.99/5.95 (P13(a1,f12(a1,x23871,f10(a1,x23872)),f12(a1,x23872,f10(a1,x23871)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,362,366,370,371,375,378,379,383,386,388,396,408,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921])). % 5.99/5.95 cnf(2389,plain, % 5.99/5.95 (P37(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202])). % 5.99/5.95 cnf(2390,plain, % 5.99/5.95 (P19(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203])). % 5.99/5.95 cnf(2391,plain, % 5.99/5.95 (P7(f12(a69,f9(a69,a1,a1),a1))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204])). % 5.99/5.95 cnf(2392,plain, % 5.99/5.95 (P9(a1,f5(a2,a73),f5(a2,a80))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969])). % 5.99/5.95 cnf(2394,plain, % 5.99/5.95 (~P9(a1,f3(a1),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,497,2121,2133,600,1972,463,2134,2216,593,461,479,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,406,440,1948,2077,2316,2341,480,1969,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579])). % 5.99/5.95 cnf(2404,plain, % 5.99/5.95 (P9(a69,x24041,f12(a69,x24042,x24041))), % 5.99/5.95 inference(rename_variables,[],[495])). % 5.99/5.95 cnf(2415,plain, % 5.99/5.95 (P9(a1,f8(a1,f3(a1)),f27(a69,f14(f10(a1,f3(a1)))))), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,497,2121,2133,600,1972,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355])). % 5.99/5.95 cnf(2417,plain, % 5.99/5.95 (P9(a1,f3(a1),f27(a69,x24171))), % 5.99/5.95 inference(rename_variables,[],[479])). % 5.99/5.95 cnf(2421,plain, % 5.99/5.95 (P9(a69,x24211,f12(a69,x24212,x24211))), % 5.99/5.95 inference(rename_variables,[],[495])). % 5.99/5.95 cnf(2423,plain, % 5.99/5.95 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x24231),x24231)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,603,1992,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426])). % 5.99/5.95 cnf(2424,plain, % 5.99/5.95 (~P10(a1,x24241,x24241)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2425,plain, % 5.99/5.95 (P10(a1,x24251,f12(a1,f27(a69,f25(x24251)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(2428,plain, % 5.99/5.95 (~P10(a1,x24281,x24281)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2429,plain, % 5.99/5.95 (P9(a1,x24291,x24291)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2431,plain, % 5.99/5.95 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x24311),x24311)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,603,1992,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428])). % 5.99/5.95 cnf(2432,plain, % 5.99/5.95 (~P10(a1,x24321,x24321)), % 5.99/5.95 inference(rename_variables,[],[1855])). % 5.99/5.95 cnf(2433,plain, % 5.99/5.95 (P10(a1,x24331,f12(a1,f27(a69,f25(x24331)),f4(a1)))), % 5.99/5.95 inference(rename_variables,[],[515])). % 5.99/5.95 cnf(2435,plain, % 5.99/5.95 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),f12(a1,x24351,f3(a1))),x24351)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,603,1992,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429])). % 5.99/5.95 cnf(2436,plain, % 5.99/5.95 (P9(a1,x24361,x24361)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2438,plain, % 5.99/5.95 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),f12(a1,f12(a1,f3(a1),x24381),f3(a1))),x24381)), % 5.99/5.95 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,603,1992,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430])). % 5.99/5.95 cnf(2439,plain, % 5.99/5.95 (P9(a1,x24391,x24391)), % 5.99/5.95 inference(rename_variables,[],[447])). % 5.99/5.95 cnf(2441,plain, % 5.99/5.96 (~P10(a1,f54(f54(f11(a1),f9(a1,x24411,x24411)),x24412),f3(a1))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,603,1992,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472])). % 5.99/5.96 cnf(2442,plain, % 5.99/5.96 (P9(a1,x24421,x24421)), % 5.99/5.96 inference(rename_variables,[],[447])). % 5.99/5.96 cnf(2448,plain, % 5.99/5.96 (~P9(a69,f12(a69,x24481,f54(f54(f21(a69),x24482),f3(a69))),x24481)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,601,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559])). % 5.99/5.96 cnf(2451,plain, % 5.99/5.96 (~P9(a69,f12(a69,f54(f54(f21(a69),x24511),f3(a69)),x24512),x24512)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,1975,601,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560])). % 5.99/5.96 cnf(2454,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f3(a1),f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x24541)),f3(a1)),x24541)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,1975,601,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561])). % 5.99/5.96 cnf(2459,plain, % 5.99/5.96 (P10(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)),f3(a1))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,1975,601,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663])). % 5.99/5.96 cnf(2461,plain, % 5.99/5.96 (~P10(a1,f9(a1,f4(a1),f8(a1,f9(a1,f3(a1),f4(a1)))),f3(a1))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,495,1997,2000,2276,2404,497,2121,2133,600,1972,1975,601,463,2134,2216,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,386,388,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732])). % 5.99/5.96 cnf(2466,plain, % 5.99/5.96 (P9(a69,f3(a69),x24661)), % 5.99/5.96 inference(rename_variables,[],[463])). % 5.99/5.96 cnf(2473,plain, % 5.99/5.96 (~E(f54(f54(f11(a69),f54(f54(f21(a69),x24731),f3(a69))),f3(a1)),f54(f54(f11(a69),f54(f54(f21(a69),x24731),f3(a69))),f4(a1)))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634])). % 5.99/5.96 cnf(2487,plain, % 5.99/5.96 (~E(f12(a69,x24871,f54(f54(f21(a69),x24872),f3(a69))),x24871)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857])). % 5.99/5.96 cnf(2505,plain, % 5.99/5.96 (~P9(a69,f4(a69),f25(f26(a1,f3(a1))))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061])). % 5.99/5.96 cnf(2507,plain, % 5.99/5.96 (E(f54(f54(f11(a69),x25071),x25072),f54(f54(f11(a69),f9(a69,f12(a69,x25071,x25071),x25071)),x25072))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068])). % 5.99/5.96 cnf(2515,plain, % 5.99/5.96 (~P9(a69,f12(a69,f12(a69,x25151,x25152),f54(f54(f21(a69),x25153),f3(a69))),x25151)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258])). % 5.99/5.96 cnf(2519,plain, % 5.99/5.96 (~P10(a1,f10(a1,f54(f54(f11(a1),f9(a1,x25191,x25191)),x25192)),f3(a1))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258,1270,1323])). % 5.99/5.96 cnf(2523,plain, % 5.99/5.96 (~P9(a69,f12(a69,x25231,f12(a69,x25232,f54(f54(f21(a69),x25233),f3(a69)))),x25232)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258,1270,1323,1365,1422])). % 5.99/5.96 cnf(2525,plain, % 5.99/5.96 (~P9(a69,f9(a69,f12(a69,f12(a69,x25251,f12(a69,x25252,f54(f54(f21(a69),x25253),f3(a69)))),f54(f54(f21(a69),x25253),f3(a69))),f12(a69,x25252,f54(f54(f21(a69),x25253),f3(a69)))),x25251)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258,1270,1323,1365,1422,1498])). % 5.99/5.96 cnf(2533,plain, % 5.99/5.96 (~E(f4(a70),f10(a70,f4(a70)))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,405,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258,1270,1323,1365,1422,1498,1519,28,39,767,769])). % 5.99/5.96 cnf(2535,plain, % 5.99/5.96 (P10(f12(a69,f9(a69,a1,a1),a1),x25351,x25352)+P9(f12(a69,f9(a69,a1,a1),a1),x25352,x25351)), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,405,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258,1270,1323,1365,1422,1498,1519,28,39,767,769,954])). % 5.99/5.96 cnf(2537,plain, % 5.99/5.96 (~P10(a1,f8(a1,f4(a1)),f3(a1))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,405,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258,1270,1323,1365,1422,1498,1519,28,39,767,769,954,1029])). % 5.99/5.96 cnf(2541,plain, % 5.99/5.96 (~E(a83,f3(a2))), % 5.99/5.96 inference(scs_inference,[],[607,435,1869,2039,1855,1930,2157,2162,2168,2173,2176,2181,2184,2187,2190,2198,2203,2206,2237,2245,2288,2291,2299,2302,2424,2428,2432,1857,1933,1954,1960,1981,1984,2165,2193,2240,2311,447,1925,1963,1966,2052,2222,2228,2231,2305,2429,2436,2439,2442,448,2015,2219,2223,2266,2284,449,2003,590,1978,2018,2021,2294,1849,1883,1854,1882,1898,484,433,495,1997,2000,2276,2404,2421,497,2121,2133,600,1972,1975,601,463,2134,2216,2285,2466,593,2154,461,479,2130,2417,251,286,291,293,296,320,344,345,372,381,382,392,394,395,400,401,403,404,405,406,440,1948,2077,2316,2341,480,1969,2024,498,1951,2137,515,1957,1989,2008,2149,2263,2269,2272,2425,2433,603,1992,2252,467,494,504,453,454,455,458,510,500,471,2096,450,528,555,557,2275,574,205,207,210,212,214,218,222,224,227,231,235,239,243,247,249,250,254,257,258,259,260,263,264,266,270,274,276,279,281,284,288,299,302,304,306,307,308,309,312,314,318,321,323,324,327,331,335,338,341,346,350,351,354,358,362,366,370,371,375,378,379,383,384,386,388,390,396,408,413,417,419,423,585,586,595,578,580,588,602,606,741,925,992,1078,1838,798,799,846,851,852,864,884,945,1004,1014,1022,1025,1065,1088,1089,1187,1252,1254,1259,1273,1274,1275,1284,1325,1348,1351,1352,1363,1364,1392,1417,1419,1431,1497,1499,1520,1598,1893,1910,1911,1914,2,8,959,1027,1132,1385,1510,118,119,120,679,700,708,709,710,712,713,714,715,716,717,719,724,787,862,863,899,900,911,912,915,916,917,919,930,934,946,947,948,967,968,1012,1013,1030,1057,1073,1074,1086,1093,1094,1098,1105,1130,1138,1151,1156,1157,1158,1172,1173,1174,1176,1177,1178,1179,1180,1181,1182,1184,1185,1195,1197,1199,1200,1202,1204,1211,1215,1216,1293,1295,1308,1327,1358,1399,1400,1401,1402,1403,1407,1440,1441,1490,1541,1599,1606,1612,1708,1709,1755,1756,1783,1785,1786,1788,1791,1793,1795,1797,1801,3,113,114,115,116,121,127,128,129,135,139,142,143,144,160,172,201,117,122,124,125,126,130,131,136,137,138,141,145,146,147,148,149,150,153,154,155,158,159,161,162,163,164,165,166,167,168,169,170,171,173,174,175,176,178,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,921,202,203,204,969,1579,979,1036,1038,1114,1233,1236,1328,1329,1355,1408,1426,1427,1428,1429,1430,1472,1558,1559,1560,1561,1650,1663,1732,1345,1346,1634,1320,1866,744,819,831,857,874,889,890,913,927,940,998,1023,1061,1068,1110,1186,1256,1258,1270,1323,1365,1422,1498,1519,28,39,767,769,954,1029,690,691])). % 5.99/5.96 cnf(2616,plain, % 5.99/5.96 (P10(a70,f9(a70,x26161,f4(a70)),x26161)), % 5.99/5.96 inference(rename_variables,[],[2002])). % 5.99/5.96 cnf(2622,plain, % 5.99/5.96 (~E(f9(a69,f12(a1,f12(a69,x26221,f3(a69)),f4(a1)),f3(a69)),x26221)), % 5.99/5.96 inference(rename_variables,[],[2215])). % 5.99/5.96 cnf(2625,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x26251),x26251)), % 5.99/5.96 inference(rename_variables,[],[2431])). % 5.99/5.96 cnf(2628,plain, % 5.99/5.96 (~P9(a1,f12(a1,f27(a69,f25(x26281)),f4(a1)),x26281)), % 5.99/5.96 inference(rename_variables,[],[2142])). % 5.99/5.96 cnf(2630,plain, % 5.99/5.96 (~P9(a69,f12(a69,f12(a69,f9(a69,x26301,f12(a69,x26302,f54(f54(f21(a69),x26303),f3(a69)))),f12(a69,x26302,f54(f54(f21(a69),x26303),f3(a69)))),f54(f54(f21(a69),x26303),f3(a69))),x26301)), % 5.99/5.96 inference(scs_inference,[],[2507,2215,2431,2525,2002,2142,941,982,1007,1326,1368,1424])). % 5.99/5.96 cnf(2631,plain, % 5.99/5.96 (~P9(a69,f9(a69,f12(a69,f12(a69,x26311,f12(a69,x26312,f54(f54(f21(a69),x26313),f3(a69)))),f54(f54(f21(a69),x26313),f3(a69))),f12(a69,x26312,f54(f54(f21(a69),x26313),f3(a69)))),x26311)), % 5.99/5.96 inference(rename_variables,[],[2525])). % 5.99/5.96 cnf(2633,plain, % 5.99/5.96 (~E(f12(a1,f12(a69,f9(a69,x26331,f3(a69)),f3(a69)),f4(a1)),x26331)), % 5.99/5.96 inference(scs_inference,[],[2507,2215,2622,2431,2525,2002,2142,941,982,1007,1326,1368,1424,17])). % 5.99/5.96 cnf(2636,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),f12(a1,x26361,f3(a1))),x26361)), % 5.99/5.96 inference(rename_variables,[],[2435])). % 5.99/5.96 cnf(2638,plain, % 5.99/5.96 (E(f12(a69,f54(f54(f11(a69),f3(a69)),x26381),f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f12(a69,f3(a69),f3(a69)))),x26381),x26382)),x26382)), % 5.99/5.96 inference(scs_inference,[],[2507,2278,2215,2622,2431,2435,2525,2002,2142,941,982,1007,1326,1368,1424,17,1420,1067])). % 5.99/5.96 cnf(2642,plain, % 5.99/5.96 (~P9(a69,f12(a69,f54(f54(f21(a69),x26421),f3(a69)),x26422),x26422)), % 5.99/5.96 inference(rename_variables,[],[2451])). % 5.99/5.96 cnf(2645,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x26451),x26451)), % 5.99/5.96 inference(rename_variables,[],[2431])). % 5.99/5.96 cnf(2648,plain, % 5.99/5.96 (P9(a69,x26481,f12(a69,x26481,x26482))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(2651,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x26511),x26511)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(2653,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),f12(a1,x26531,f3(a1))),x26531)), % 5.99/5.96 inference(scs_inference,[],[468,496,2507,2278,2215,2622,2431,2625,2451,2435,2636,2525,2002,2142,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992])). % 5.99/5.96 cnf(2656,plain, % 5.99/5.96 (~P10(a70,f12(a70,x26561,f4(a70)),x26561)), % 5.99/5.96 inference(rename_variables,[],[1980])). % 5.99/5.96 cnf(2659,plain, % 5.99/5.96 (P10(a1,x26591,f27(a69,f25(f12(a1,x26591,f4(a1)))))), % 5.99/5.96 inference(rename_variables,[],[2262])). % 5.99/5.96 cnf(2666,plain, % 5.99/5.96 (~P10(a69,f12(a69,f9(a69,x26661,x26662),x26662),x26661)), % 5.99/5.96 inference(rename_variables,[],[2017])). % 5.99/5.96 cnf(2671,plain, % 5.99/5.96 (E(f9(a69,f12(a69,x26711,x26712),x26711),x26712)), % 5.99/5.96 inference(rename_variables,[],[499])). % 5.99/5.96 cnf(2679,plain, % 5.99/5.96 (P10(a70,f9(a70,f12(a70,f9(a70,x26791,f4(a70)),f4(a70)),f4(a70)),x26791)), % 5.99/5.96 inference(scs_inference,[],[468,496,2324,2507,2032,2278,2215,2622,2431,2625,2451,2017,2281,2435,2636,2525,1980,2002,2262,2005,2142,2221,499,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363])). % 5.99/5.96 cnf(2680,plain, % 5.99/5.96 (P9(a70,f9(a70,f12(a70,x26801,f4(a70)),f4(a70)),x26801)), % 5.99/5.96 inference(rename_variables,[],[2005])). % 5.99/5.96 cnf(2685,plain, % 5.99/5.96 (~P9(a69,f12(a69,f12(a69,x26851,x26852),f54(f54(f21(a69),x26853),f3(a69))),x26851)), % 5.99/5.96 inference(rename_variables,[],[2515])). % 5.99/5.96 cnf(2687,plain, % 5.99/5.96 (P9(a1,x26871,f8(a1,f8(a1,x26871)))), % 5.99/5.96 inference(scs_inference,[],[1924,468,496,2324,2507,2032,2278,2215,2622,2431,2625,2451,2017,2281,2435,2636,2525,2631,2515,1980,2002,2262,2005,2142,2221,499,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078])). % 5.99/5.96 cnf(2688,plain, % 5.99/5.96 (P9(a1,x26881,f8(a1,x26881))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(2693,plain, % 5.99/5.96 (P9(a69,x26931,f12(a69,x26931,x26932))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(2698,plain, % 5.99/5.96 (~P10(a70,f12(a70,x26981,f4(a70)),x26981)), % 5.99/5.96 inference(rename_variables,[],[1980])). % 5.99/5.96 cnf(2708,plain, % 5.99/5.96 (P10(a1,x27081,f12(a1,x27082,f12(a1,f27(a69,f25(f8(a1,f9(a1,x27081,x27082)))),f4(a1))))), % 5.99/5.96 inference(rename_variables,[],[2268])). % 5.99/5.96 cnf(2711,plain, % 5.99/5.96 (~P10(a69,f12(a69,f9(a69,x27111,x27112),x27112),x27111)), % 5.99/5.96 inference(rename_variables,[],[2017])). % 5.99/5.96 cnf(2714,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x27141),x27141)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(2717,plain, % 5.99/5.96 (~P10(a69,x27171,f9(a69,x27172,x27172))), % 5.99/5.96 inference(rename_variables,[],[1941])). % 5.99/5.96 cnf(2720,plain, % 5.99/5.96 (~P10(a70,f12(a70,x27201,f4(a70)),x27201)), % 5.99/5.96 inference(rename_variables,[],[1980])). % 5.99/5.96 cnf(2725,plain, % 5.99/5.96 (~E(f12(a1,x27251,f4(a1)),x27251)), % 5.99/5.96 inference(rename_variables,[],[2093])). % 5.99/5.96 cnf(2730,plain, % 5.99/5.96 (P9(a69,x27301,f25(f27(a69,f14(f27(a69,x27301)))))), % 5.99/5.96 inference(scs_inference,[],[1918,2041,1924,468,2651,456,496,2648,2324,2170,2507,2032,2278,2093,2215,2622,2208,1941,2431,2625,2451,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088])). % 5.99/5.96 cnf(2734,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x27341),x27341)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(2736,plain, % 5.99/5.96 (P9(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)),f3(a1))), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1924,468,2651,456,496,2648,2324,2170,2507,2032,2278,2093,2215,2622,2208,1941,2423,2431,2625,2451,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925])). % 5.99/5.96 cnf(2744,plain, % 5.99/5.96 (~P10(a70,f12(a70,f9(a70,f12(a70,x27441,f4(a70)),f4(a70)),f4(a70)),x27441)), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1924,468,2651,456,496,2648,2693,2324,2170,2507,2032,2278,2093,2215,2622,2208,1941,2423,2431,2625,2451,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419])). % 5.99/5.96 cnf(2747,plain, % 5.99/5.96 (P10(a69,x27471,f14(f12(a1,f27(a69,x27471),f4(a1))))), % 5.99/5.96 inference(rename_variables,[],[2023])). % 5.99/5.96 cnf(2753,plain, % 5.99/5.96 (~P9(a69,f12(a69,f54(f54(f21(a69),x27531),f3(a69)),x27532),x27532)), % 5.99/5.96 inference(rename_variables,[],[2451])). % 5.99/5.96 cnf(2756,plain, % 5.99/5.96 (~E(x27561,f12(a1,f27(a69,f25(x27561)),f4(a1)))), % 5.99/5.96 inference(rename_variables,[],[1935])). % 5.99/5.96 cnf(2764,plain, % 5.99/5.96 (~E(f12(a69,f54(f54(f21(a69),x27641),f3(a69)),x27642),x27642)), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1924,468,2651,456,496,2648,2693,2324,2170,2507,2032,2278,2093,1935,2215,2622,2083,2208,2112,2023,1941,2423,2431,2625,2451,2642,2753,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744])). % 5.99/5.96 cnf(2769,plain, % 5.99/5.96 (~E(f12(a69,x27691,f54(f54(f21(a69),x27692),f3(a69))),x27691)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2773,plain, % 5.99/5.96 (~E(x27731,f14(f12(a1,f27(a69,x27731),f4(a1))))), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1924,2537,468,2651,456,496,2648,2693,2324,2170,2507,2032,2487,2278,2093,1935,2215,2622,2083,2208,2112,2023,2747,1941,2423,2431,2625,2451,2642,2753,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2415,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851])). % 5.99/5.96 cnf(2775,plain, % 5.99/5.96 (~P9(a69,f9(a69,f12(a69,f12(a69,x27751,x27752),f54(f54(f21(a69),x27753),f3(a69))),x27752),x27751)), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1924,2537,468,2651,456,496,2648,2693,2324,2170,2507,2032,2487,2278,2093,1935,2215,2622,2083,2208,2112,2023,2747,1941,2423,2431,2625,2448,2451,2642,2753,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2415,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498])). % 5.99/5.96 cnf(2776,plain, % 5.99/5.96 (~P9(a69,f12(a69,x27761,f54(f54(f21(a69),x27762),f3(a69))),x27761)), % 5.99/5.96 inference(rename_variables,[],[2448])). % 5.99/5.96 cnf(2778,plain, % 5.99/5.96 (P9(a70,f9(a70,f12(a70,f9(a70,f12(a70,x27781,f4(a70)),f4(a70)),f4(a70)),f4(a70)),x27781)), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1924,2537,468,2651,456,496,2648,2693,2324,2170,2507,2032,2487,2278,2093,1935,2215,2622,2083,2208,2112,2023,2747,1941,2423,2431,2625,2448,2451,2642,2753,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2415,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364])). % 5.99/5.96 cnf(2785,plain, % 5.99/5.96 (P9(a69,x27851,f25(f27(a69,x27851)))), % 5.99/5.96 inference(rename_variables,[],[1962])). % 5.99/5.96 cnf(2789,plain, % 5.99/5.96 (~P10(a69,x27891,f9(a69,f9(a69,x27891,x27892),x27893))), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1924,2537,468,2651,456,496,2648,2693,2324,2170,2507,2032,2487,2278,2093,1935,2215,2622,2083,472,2208,2112,1962,2023,2747,1941,1977,2423,2431,2625,2293,2448,2451,2642,2753,2017,2666,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2002,2415,2262,2005,2142,2014,2221,499,480,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259])). % 5.99/5.96 cnf(2790,plain, % 5.99/5.96 (~P10(a69,x27901,f9(a69,x27901,x27902))), % 5.99/5.96 inference(rename_variables,[],[1977])). % 5.99/5.96 cnf(2794,plain, % 5.99/5.96 (P9(a1,x27941,f8(a1,x27941))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(2797,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x27971),x27971)), % 5.99/5.96 inference(rename_variables,[],[2431])). % 5.99/5.96 cnf(2800,plain, % 5.99/5.96 (P9(a70,x28001,f8(a70,x28001))), % 5.99/5.96 inference(rename_variables,[],[2043])). % 5.99/5.96 cnf(2807,plain, % 5.99/5.96 (~E(f12(a70,x28071,f4(a70)),x28071)), % 5.99/5.96 inference(rename_variables,[],[1959])). % 5.99/5.96 cnf(2810,plain, % 5.99/5.96 (~P9(a70,f12(a70,x28101,f4(a70)),x28101)), % 5.99/5.96 inference(rename_variables,[],[1983])). % 5.99/5.96 cnf(2816,plain, % 5.99/5.96 (~P9(a69,f12(a69,x28161,f12(a69,x28162,f54(f54(f21(a69),x28163),f3(a69)))),x28162)), % 5.99/5.96 inference(rename_variables,[],[2523])). % 5.99/5.96 cnf(2823,plain, % 5.99/5.96 (~P9(a70,f12(a70,f54(f54(f11(a70),f9(a70,x28231,x28232)),x28233),f12(a70,f12(a70,f54(f54(f11(a70),f9(a70,x28232,x28231)),x28233),x28234),f4(a70))),x28234)), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1920,1924,2688,2043,2537,2046,468,2651,2714,456,496,2648,2693,2324,2170,2507,2032,2487,2278,1959,2093,1935,2215,2622,2083,472,2208,2112,1962,2023,2747,1941,1977,2423,2431,2625,2645,2293,2448,2451,2642,2753,2017,2666,2523,2816,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,1983,2810,2002,2415,2262,2005,2142,2014,2221,292,373,499,480,262,376,314,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798])). % 5.99/5.96 cnf(2834,plain, % 5.99/5.96 (~P10(a70,f12(a70,x28341,f8(a70,f4(a70))),x28341)), % 5.99/5.96 inference(scs_inference,[],[1918,2041,2394,1920,1924,2688,2043,2800,2537,2046,468,2651,2714,456,496,2648,2693,599,2324,2170,2507,2032,2487,2278,1959,2093,1935,2215,2622,2083,472,2208,2110,2112,1962,2023,2747,1941,1977,2423,2431,2625,2645,2293,2448,2451,2642,2753,2017,2666,2523,2816,2281,2296,2435,2636,2525,2631,2268,2515,1980,2656,2698,2720,1983,2810,2002,2616,2415,2262,2005,2012,2142,2014,2221,292,373,499,480,262,376,388,314,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542])). % 5.99/5.96 cnf(2835,plain, % 5.99/5.96 (~P10(a70,f12(a70,x28351,f4(a70)),x28351)), % 5.99/5.96 inference(rename_variables,[],[1980])). % 5.99/5.96 cnf(2839,plain, % 5.99/5.96 (P9(a1,x28391,f8(a1,x28391))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(2840,plain, % 5.99/5.96 (P9(a69,x28401,f12(a69,x28401,x28402))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(2847,plain, % 5.99/5.96 (~E(f12(a69,x28471,f54(f54(f21(a69),x28472),f3(a69))),x28471)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2850,plain, % 5.99/5.96 (~E(f10(a1,f12(a70,f10(a1,x28501),f4(a70))),x28501)), % 5.99/5.96 inference(rename_variables,[],[2079])). % 5.99/5.96 cnf(2853,plain, % 5.99/5.96 (~P10(a69,x28531,f12(a69,f54(f54(f11(a69),f9(a69,x28532,x28532)),x28533),x28531))), % 5.99/5.96 inference(rename_variables,[],[2293])). % 5.99/5.96 cnf(2854,plain, % 5.99/5.96 (P9(a69,f14(f27(a69,x28541)),x28541)), % 5.99/5.96 inference(rename_variables,[],[1965])). % 5.99/5.96 cnf(2857,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x28571),x28571)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(2862,plain, % 5.99/5.96 (P10(a1,x28621,f12(a1,x28622,f12(a1,f27(a69,f25(f8(a1,f9(a1,x28621,x28622)))),f4(a1))))), % 5.99/5.96 inference(rename_variables,[],[2268])). % 5.99/5.96 cnf(2865,plain, % 5.99/5.96 (~P10(a1,x28651,f12(a1,f54(f54(f11(a1),f9(a1,x28652,x28652)),x28653),x28651))), % 5.99/5.96 inference(rename_variables,[],[2298])). % 5.99/5.96 cnf(2868,plain, % 5.99/5.96 (~E(f12(a69,x28681,f54(f54(f21(a69),x28682),f3(a69))),x28681)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2873,plain, % 5.99/5.96 (P10(a69,x28731,f14(f12(a1,f27(a69,x28731),f4(a1))))), % 5.99/5.96 inference(rename_variables,[],[2023])). % 5.99/5.96 cnf(2874,plain, % 5.99/5.96 (~P10(a69,x28741,f9(a69,x28742,x28742))), % 5.99/5.96 inference(rename_variables,[],[1941])). % 5.99/5.96 cnf(2876,plain, % 5.99/5.96 (P10(a1,x28761,f27(a69,f25(f8(a1,f12(a1,x28761,f4(a1))))))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2533,1924,2688,2794,2043,2800,2537,2046,468,2651,2714,456,496,2648,2693,599,2324,2170,2507,2032,2487,2769,2847,2278,1959,2093,1935,2215,2622,2083,2079,472,2208,2110,2112,1962,1965,2023,2747,1941,2717,1977,2423,2431,2625,2645,2293,2298,2448,2451,2642,2753,2017,2666,2523,2816,2281,2296,2435,2636,2525,2631,2268,2708,2515,1980,2656,2698,2720,1983,2810,2002,2616,2415,2262,2005,2012,2142,2148,2014,2221,292,373,499,480,381,291,372,2360,2342,2334,262,376,388,259,379,257,314,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606])). % 5.99/5.96 cnf(2883,plain, % 5.99/5.96 (~P10(a1,x28831,f12(a1,f54(f54(f11(a1),f9(a1,x28832,x28832)),x28833),x28831))), % 5.99/5.96 inference(rename_variables,[],[2298])). % 5.99/5.96 cnf(2888,plain, % 5.99/5.96 (~E(x28881,f12(a70,x28881,f4(a70)))), % 5.99/5.96 inference(rename_variables,[],[1939])). % 5.99/5.96 cnf(2895,plain, % 5.99/5.96 (~P9(a69,f12(a69,x28951,f54(f54(f21(a69),x28952),f3(a69))),x28951)), % 5.99/5.96 inference(rename_variables,[],[2448])). % 5.99/5.96 cnf(2898,plain, % 5.99/5.96 (~E(f12(a69,x28981,f54(f54(f21(a69),x28982),f3(a69))),x28981)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2901,plain, % 5.99/5.96 (E(x29011,f12(a69,f54(f54(f11(a69),f9(a69,x29012,x29012)),x29013),x29011))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(2902,plain, % 5.99/5.96 (P9(a69,f14(f27(a69,x29021)),x29021)), % 5.99/5.96 inference(rename_variables,[],[1965])). % 5.99/5.96 cnf(2905,plain, % 5.99/5.96 (~E(f12(a69,x29051,f54(f54(f21(a69),x29052),f3(a69))),x29051)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2909,plain, % 5.99/5.96 (P9(a69,f9(a69,f3(a69),x29091),x29092)), % 5.99/5.96 inference(rename_variables,[],[2212])). % 5.99/5.96 cnf(2915,plain, % 5.99/5.96 (P9(f12(a69,f9(a69,a1,a1),a1),x29151,x29151)), % 5.99/5.96 inference(rename_variables,[],[2050])). % 5.99/5.96 cnf(2922,plain, % 5.99/5.96 (~E(f12(a70,x29221,f4(a70)),x29221)), % 5.99/5.96 inference(rename_variables,[],[1959])). % 5.99/5.96 cnf(2924,plain, % 5.99/5.96 (~E(f9(a69,f12(a69,f12(a69,x29241,x29242),f54(f54(f21(a69),x29243),f3(a69))),x29242),x29241)), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2043,2800,2537,2046,468,2651,2714,456,496,2648,2693,2840,599,394,2324,2321,2170,2125,2507,2030,2032,2487,2769,2847,2868,2898,2905,2278,1939,1959,2807,2093,1935,2215,2622,2083,2079,2850,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,1977,2790,2423,2431,2625,2645,2293,2298,2865,2448,2776,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2268,2708,2515,1980,2656,2698,2720,1983,2810,2002,2616,2212,2415,2262,2005,2012,2142,2148,2014,2221,292,373,499,479,480,381,291,372,2384,2360,2354,2342,2334,262,250,376,388,259,379,370,257,314,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215])). % 5.99/5.96 cnf(2925,plain, % 5.99/5.96 (~E(f12(a69,x29251,f54(f54(f21(a69),x29252),f3(a69))),x29251)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2929,plain, % 5.99/5.96 (~E(f12(a69,x29291,f54(f54(f21(a69),x29292),f3(a69))),x29291)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2934,plain, % 5.99/5.96 (P10(f12(a69,f9(a69,a1,a1),a1),x29341,f12(a1,f27(a69,f25(x29341)),f4(a1)))), % 5.99/5.96 inference(rename_variables,[],[2309])). % 5.99/5.96 cnf(2939,plain, % 5.99/5.96 (~E(f12(a69,x29391,f54(f54(f21(a69),x29392),f3(a69))),x29391)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2946,plain, % 5.99/5.96 (~E(x29461,f12(a70,x29461,f4(a70)))), % 5.99/5.96 inference(rename_variables,[],[1939])). % 5.99/5.96 cnf(2951,plain, % 5.99/5.96 (~E(f12(a1,x29511,f4(a1)),x29511)), % 5.99/5.96 inference(rename_variables,[],[2093])). % 5.99/5.96 cnf(2954,plain, % 5.99/5.96 (P9(a69,f12(a69,f54(f54(f11(a69),f9(a69,f3(a69),f3(a69))),x29541),x29542),x29542)), % 5.99/5.96 inference(rename_variables,[],[2283])). % 5.99/5.96 cnf(2955,plain, % 5.99/5.96 (P9(a69,x29551,f12(a69,x29551,x29552))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(2958,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x29581),x29581)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(2961,plain, % 5.99/5.96 (~E(f12(a69,x29611,f54(f54(f21(a69),x29612),f3(a69))),x29611)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2966,plain, % 5.99/5.96 (~E(f12(a69,x29661,f54(f54(f21(a69),x29662),f3(a69))),x29661)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2968,plain, % 5.99/5.96 (P9(a69,f9(a69,x29681,x29681),x29682)), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2043,2800,2537,2046,401,468,2651,2714,2857,456,496,2648,2693,2840,599,394,2324,2321,2170,2125,2507,2030,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2278,2309,1939,2888,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,2874,1977,2790,2423,2431,2625,2645,2283,2293,2298,2865,2448,2776,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2268,2708,2515,1980,2656,2698,2720,1983,2810,2002,2616,2212,2415,2262,2005,2012,2142,2148,2014,2221,292,373,499,479,480,381,291,372,2384,2360,2354,2352,2342,2335,2334,262,250,376,258,388,259,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954])). % 5.99/5.96 cnf(2972,plain, % 5.99/5.96 (~P9(a1,f10(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2043,2800,2537,2046,401,468,2651,2714,2857,456,496,2648,2693,2840,599,394,403,2324,2321,2170,2125,2507,2030,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2278,2309,1939,2888,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,2874,1977,2790,2423,2431,2625,2645,2283,2293,2298,2865,2448,2776,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2268,2708,2515,1980,2656,2698,2720,1983,2810,2002,2616,2212,2415,2262,2005,2012,2142,2148,2014,2221,292,373,499,479,480,381,291,372,2384,2360,2354,2352,2342,2335,2334,262,250,376,258,388,259,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159])). % 5.99/5.96 cnf(2978,plain, % 5.99/5.96 (~P10(a69,f12(a69,f12(a69,x29781,x29782),f54(f54(f21(a69),x29783),f3(a69))),x29781)), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2043,2800,2537,2046,401,468,2651,2714,2857,456,496,2648,2693,2840,599,394,403,392,404,2324,2321,2170,2125,2507,2030,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2278,2309,1939,2888,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,2874,1977,2790,2423,2431,2625,2645,2283,2293,2298,2865,2448,2776,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2415,2262,2005,2012,2142,2148,2014,2221,292,373,499,479,480,381,291,372,2384,2360,2354,2352,2342,2335,2334,262,250,376,258,388,259,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029])). % 5.99/5.96 cnf(2981,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x29811),x29811)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(2984,plain, % 5.99/5.96 (~E(f12(a69,x29841,f54(f54(f21(a69),x29842),f3(a69))),x29841)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(2987,plain, % 5.99/5.96 (~E(x29871,f12(a70,x29871,f4(a70)))), % 5.99/5.96 inference(rename_variables,[],[1939])). % 5.99/5.96 cnf(2994,plain, % 5.99/5.96 (~E(x29941,f12(a70,x29941,f4(a70)))), % 5.99/5.96 inference(rename_variables,[],[1939])). % 5.99/5.96 cnf(2999,plain, % 5.99/5.96 (~P10(a69,x29991,f12(a69,f54(f54(f11(a69),f9(a69,x29992,x29992)),x29993),x29991))), % 5.99/5.96 inference(rename_variables,[],[2293])). % 5.99/5.96 cnf(3000,plain, % 5.99/5.96 (P9(a69,x30001,f12(a69,x30001,x30002))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(3002,plain, % 5.99/5.96 (P9(a69,x30021,f12(a69,f54(f54(f11(a69),x30022),x30023),f12(a69,f54(f54(f11(a69),f9(a69,x30022,x30022)),x30023),f12(a69,x30024,x30021))))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2043,2800,2537,2046,401,468,2651,2714,2857,456,496,2648,2693,2840,2955,599,394,403,392,404,2324,2321,2170,2125,2507,2030,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2278,2309,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2283,2293,2853,2298,2865,2448,2776,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2415,2262,2005,2012,2142,2148,2070,2014,2221,292,373,499,479,480,381,291,372,2384,2360,2354,2352,2342,2335,2334,262,587,250,376,258,388,259,264,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608])). % 5.99/5.96 cnf(3009,plain, % 5.99/5.96 (~P9(a69,f12(a69,x30091,f54(f54(f21(a69),x30092),f3(a69))),x30091)), % 5.99/5.96 inference(rename_variables,[],[2448])). % 5.99/5.96 cnf(3010,plain, % 5.99/5.96 (P9(a69,f9(a69,f3(a69),x30101),x30102)), % 5.99/5.96 inference(rename_variables,[],[2212])). % 5.99/5.96 cnf(3013,plain, % 5.99/5.96 (~E(f12(a69,x30131,f54(f54(f21(a69),x30132),f3(a69))),x30131)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3015,plain, % 5.99/5.96 (~P9(a1,f27(a69,f25(f12(a1,x30151,f4(a1)))),x30151)), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2043,2800,2537,2046,401,468,2651,2714,2857,456,496,2648,2693,2840,2955,599,394,403,392,404,2324,2321,2170,2125,2507,2030,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,2278,2309,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2283,2293,2853,2298,2865,2448,2776,2895,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2909,2415,2262,2005,2012,2142,2628,2148,2070,2014,2221,292,373,499,2671,479,480,500,381,291,372,2384,2360,2354,2352,2342,2335,2334,262,587,250,376,258,375,388,259,264,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445])). % 5.99/5.96 cnf(3016,plain, % 5.99/5.96 (~P9(a1,f12(a1,f27(a69,f25(x30161)),f4(a1)),x30161)), % 5.99/5.96 inference(rename_variables,[],[2142])). % 5.99/5.96 cnf(3020,plain, % 5.99/5.96 (P9(a70,f12(a70,f9(a70,f12(a70,f3(a70),f4(a70)),f4(a70)),f4(a70)),f4(a70))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,456,496,2648,2693,2840,2955,599,394,403,392,404,2324,2321,2170,2125,2507,2030,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,2278,2309,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2283,2293,2853,2298,2865,2448,2776,2895,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2909,2415,2262,2005,2012,2142,2628,2148,2070,2014,2221,292,373,499,2671,479,480,500,381,291,372,382,2384,2360,2354,2352,2342,2335,2334,262,587,250,376,258,375,388,259,264,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385])). % 5.99/5.96 cnf(3023,plain, % 5.99/5.96 (E(x30231,f12(a69,f54(f54(f11(a69),f9(a69,x30232,x30232)),x30233),x30231))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3025,plain, % 5.99/5.96 (E(x30251,f12(a69,f54(f54(f11(a69),f9(a69,x30252,x30252)),x30253),x30251))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3027,plain, % 5.99/5.96 (~E(f12(a69,x30271,f54(f54(f21(a69),x30272),f3(a69))),x30271)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3030,plain, % 5.99/5.96 (E(x30301,f12(a69,f54(f54(f11(a69),f9(a69,x30302,x30302)),x30303),x30301))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3032,plain, % 5.99/5.96 (E(x30321,f12(a69,f54(f54(f11(a69),f9(a69,x30322,x30322)),x30323),x30321))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3034,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x30341),x30341)), % 5.99/5.96 inference(rename_variables,[],[2431])). % 5.99/5.96 cnf(3037,plain, % 5.99/5.96 (P9(a1,x30371,f8(a1,x30371))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3039,plain, % 5.99/5.96 (~P10(a1,f27(a69,f25(f12(a1,x30391,f4(a1)))),x30391)), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2533,1924,2688,2794,2839,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,456,496,2648,2693,2840,2955,599,394,403,392,404,2324,2321,2170,2125,2507,2030,2901,3023,3025,3030,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,2278,2309,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2023,2747,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2797,2283,2293,2853,2298,2865,2448,2776,2895,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2909,2415,2262,2005,2012,2140,2142,2628,2148,2070,2014,2221,292,373,499,2671,479,480,500,381,291,372,382,2386,2384,2360,2354,2352,2342,2335,2334,2330,2327,2391,262,587,250,376,258,375,378,388,259,264,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441])). % 5.99/5.96 cnf(3040,plain, % 5.99/5.96 (~P10(a1,f12(a1,f27(a69,f25(x30401)),f4(a1)),x30401)), % 5.99/5.96 inference(rename_variables,[],[2140])). % 5.99/5.96 cnf(3045,plain, % 5.99/5.96 (E(x30451,f12(a69,f54(f54(f11(a69),f9(a69,x30452,x30452)),x30453),x30451))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3049,plain, % 5.99/5.96 (E(x30491,f12(a69,f54(f54(f11(a69),f9(a69,x30492,x30492)),x30493),x30491))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3051,plain, % 5.99/5.96 (~E(f12(a69,x30511,f54(f54(f21(a69),x30512),f3(a69))),x30511)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3056,plain, % 5.99/5.96 (P9(f12(a69,f9(a69,a1,a1),a1),x30561,x30561)), % 5.99/5.96 inference(rename_variables,[],[2050])). % 5.99/5.96 cnf(3061,plain, % 5.99/5.96 (~E(f12(a69,x30611,f54(f54(f21(a69),x30612),f3(a69))),x30611)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3063,plain, % 5.99/5.96 (~P9(a69,f14(f12(a1,f27(a69,x30631),f4(a1))),x30631)), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2915,2533,1924,2688,2794,2839,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,456,496,2648,2693,2840,2955,599,394,403,392,404,2324,2321,2170,2125,2507,2030,2901,3023,3025,3030,3032,3045,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,2278,2309,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2797,2283,2293,2853,2298,2865,2448,2776,2895,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2909,2415,2262,2005,2012,2140,2142,2628,2148,2070,2014,2221,292,373,499,2671,479,480,500,381,291,372,382,2386,2384,2373,2360,2354,2352,2347,2342,2335,2334,2330,2327,2391,2389,262,587,250,376,258,375,378,388,259,264,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541])). % 5.99/5.96 cnf(3064,plain, % 5.99/5.96 (~P10(a69,x30641,f9(a69,x30642,x30642))), % 5.99/5.96 inference(rename_variables,[],[1941])). % 5.99/5.96 cnf(3067,plain, % 5.99/5.96 (E(x30671,f12(a69,f54(f54(f11(a69),f9(a69,x30672,x30672)),x30673),x30671))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3069,plain, % 5.99/5.96 (E(x30691,f12(a69,f54(f54(f11(a69),f9(a69,x30692,x30692)),x30693),x30691))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3071,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x30711),x30711)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(3077,plain, % 5.99/5.96 (P9(a69,f14(f27(a69,x30771)),x30771)), % 5.99/5.96 inference(rename_variables,[],[1965])). % 5.99/5.96 cnf(3080,plain, % 5.99/5.96 (E(x30801,f12(a69,f54(f54(f11(a69),f9(a69,x30802,x30802)),x30803),x30801))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3083,plain, % 5.99/5.96 (~P9(a70,f4(a70),f10(a70,f10(a70,f3(a70))))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2915,2533,1924,2688,2794,2839,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,2958,456,496,2648,2693,2840,2955,599,394,403,392,404,2324,2321,2170,2318,2125,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,2278,2309,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2902,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2797,2283,2954,2293,2853,2298,2865,2448,2776,2895,2451,2642,2753,2017,2666,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2909,2415,2262,2005,2012,2140,2142,2628,2148,2070,2014,2221,292,373,499,2671,479,480,500,381,291,372,382,2386,2384,2373,2360,2354,2352,2350,2347,2342,2335,2334,2330,2328,2327,2391,2389,262,587,250,376,258,375,378,388,259,264,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197])). % 5.99/5.96 cnf(3086,plain, % 5.99/5.96 (~P10(a1,x30861,f12(a1,f54(f54(f11(a1),f9(a1,x30862,x30862)),x30863),x30861))), % 5.99/5.96 inference(rename_variables,[],[2298])). % 5.99/5.96 cnf(3091,plain, % 5.99/5.96 (~E(f12(a69,x30911,f54(f54(f21(a69),x30912),f3(a69))),x30911)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3093,plain, % 5.99/5.96 (E(x30931,f12(a69,f54(f54(f11(a69),f9(a69,x30932,x30932)),x30933),x30931))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3095,plain, % 5.99/5.96 (E(x30951,f12(a69,f54(f54(f11(a69),f9(a69,x30952,x30952)),x30953),x30951))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3100,plain, % 5.99/5.96 (P9(a69,x31001,f12(a69,x31001,x31002))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(3103,plain, % 5.99/5.96 (P9(a1,x31031,f8(a1,x31031))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3106,plain, % 5.99/5.96 (~E(f12(a69,x31061,f54(f54(f21(a69),x31062),f3(a69))),x31061)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3109,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x31091),x31091)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(3111,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x31111),x31111)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(3121,plain, % 5.99/5.96 (E(x31211,f12(a69,f54(f54(f11(a69),f9(a69,x31212,x31212)),x31213),x31211))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3123,plain, % 5.99/5.96 (E(x31231,f12(a69,f54(f54(f11(a69),f9(a69,x31232,x31232)),x31233),x31231))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3124,plain, % 5.99/5.96 (P9(a69,x31241,f12(a69,x31241,x31242))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(3127,plain, % 5.99/5.96 (~P10(a69,f12(a69,f9(a69,x31271,x31272),x31272),x31271)), % 5.99/5.96 inference(rename_variables,[],[2017])). % 5.99/5.96 cnf(3129,plain, % 5.99/5.96 (~P10(a1,f3(a1),f54(f54(f11(a1),f9(a1,x31291,x31291)),x31292))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2915,2533,1924,2688,2794,2839,3037,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,456,496,2648,2693,2840,2955,3000,3100,599,394,403,392,404,2324,2321,2170,2318,2125,2161,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,2278,2309,2066,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2902,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2797,2283,2954,2293,2853,2298,2865,2883,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2909,2415,2262,2005,2012,2140,2142,2628,2454,2148,2070,2014,2230,2221,2519,292,373,2098,499,2671,479,480,500,381,291,372,382,2386,2384,2381,2375,2373,2368,2360,2354,2352,2350,2347,2342,2335,2334,2330,2328,2327,2391,2389,262,587,250,376,258,375,378,388,259,264,302,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151])). % 5.99/5.96 cnf(3132,plain, % 5.99/5.96 (E(x31321,f12(a69,f54(f54(f11(a69),f9(a69,x31322,x31322)),x31323),x31321))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3134,plain, % 5.99/5.96 (P10(a1,x31341,f27(a69,f25(f12(a1,x31341,f4(a1)))))), % 5.99/5.96 inference(rename_variables,[],[2262])). % 5.99/5.96 cnf(3137,plain, % 5.99/5.96 (E(x31371,f12(a69,f54(f54(f11(a69),f9(a69,x31372,x31372)),x31373),x31371))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3139,plain, % 5.99/5.96 (~E(f12(a69,x31391,f54(f54(f21(a69),x31392),f3(a69))),x31391)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3142,plain, % 5.99/5.96 (E(x31421,f12(a69,f54(f54(f11(a69),f9(a69,x31422,x31422)),x31423),x31421))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3145,plain, % 5.99/5.96 (~E(x31451,f10(a2,f12(a69,f10(a2,x31451),f54(f54(f21(a69),x31452),f3(a69)))))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2915,2533,1924,2688,2794,2839,3037,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,456,496,2648,2693,2840,2955,3000,3100,599,405,394,403,392,404,2324,2321,2170,2318,2125,2161,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,2278,2309,2066,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,1965,2854,2902,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2797,2283,2954,2293,2853,2298,2865,2883,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2515,2685,1980,2656,2698,2720,1983,2810,2002,2616,2212,2909,2415,2262,2659,2005,2012,2140,2142,2628,2454,2148,2070,2014,2230,2221,2519,292,373,2098,499,2671,479,480,500,381,291,372,382,2386,2384,2381,2375,2373,2368,2360,2354,2352,2350,2349,2347,2343,2342,2335,2334,2330,2328,2327,2391,2389,262,587,250,376,258,375,378,388,259,264,302,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722])). % 5.99/5.96 cnf(3146,plain, % 5.99/5.96 (~E(f12(a69,x31461,f54(f54(f21(a69),x31462),f3(a69))),x31461)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3152,plain, % 5.99/5.96 (E(x31521,f12(a69,f54(f54(f11(a69),f9(a69,x31522,x31522)),x31523),x31521))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3154,plain, % 5.99/5.96 (P9(a69,x31541,f12(a69,x31541,x31542))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(3159,plain, % 5.99/5.96 (~E(f12(a69,x31591,f54(f54(f21(a69),x31592),f3(a69))),x31591)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3164,plain, % 5.99/5.96 (~P10(a70,f12(a70,x31641,f4(a70)),x31641)), % 5.99/5.96 inference(rename_variables,[],[1980])). % 5.99/5.96 cnf(3167,plain, % 5.99/5.96 (E(x31671,f12(a69,f54(f54(f11(a69),f9(a69,x31672,x31672)),x31673),x31671))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3170,plain, % 5.99/5.96 (P10(a1,x31701,f12(a1,f27(a69,f25(f8(a1,f9(a1,f3(a1),x31701)))),f4(a1)))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2915,2533,1924,2688,2794,2839,3037,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,456,496,2648,2693,2840,2955,3000,3100,3124,599,405,394,403,392,404,2324,2322,2321,2170,2318,2125,2161,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,2278,2309,2934,2066,1939,2888,2946,2987,1959,2807,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2797,2283,2954,2293,2853,2298,2865,2883,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2271,2515,2685,1980,2656,2698,2720,2835,1983,2810,2002,2616,2212,2909,2415,2262,2659,2005,2012,2140,2142,2628,2454,2148,2070,2014,2230,2221,2519,2461,292,373,2098,499,2671,479,480,500,345,381,291,372,382,2386,2384,2381,2375,2373,2368,2365,2360,2355,2354,2352,2350,2349,2347,2343,2342,2335,2334,2330,2328,2327,2391,2389,262,587,250,376,258,375,378,388,259,264,302,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384])). % 5.99/5.96 cnf(3174,plain, % 5.99/5.96 (E(x31741,f12(a69,f54(f54(f11(a69),f9(a69,x31742,x31742)),x31743),x31741))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3180,plain, % 5.99/5.96 (E(x31801,f12(a69,f54(f54(f11(a69),f9(a69,x31802,x31802)),x31803),x31801))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3185,plain, % 5.99/5.96 (~E(f12(a69,x31851,f54(f54(f21(a69),x31852),f3(a69))),x31851)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3188,plain, % 5.99/5.96 (E(x31881,f12(a69,f54(f54(f11(a69),f9(a69,x31882,x31882)),x31883),x31881))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3190,plain, % 5.99/5.96 (E(x31901,f12(a69,f54(f54(f11(a69),f9(a69,x31902,x31902)),x31903),x31901))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3192,plain, % 5.99/5.96 (E(x31921,f12(a69,f54(f54(f11(a69),f9(a69,x31922,x31922)),x31923),x31921))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3197,plain, % 5.99/5.96 (~E(f12(a70,x31971,f4(a70)),x31971)), % 5.99/5.96 inference(rename_variables,[],[1959])). % 5.99/5.96 cnf(3200,plain, % 5.99/5.96 (E(x32001,f12(a69,f54(f54(f11(a69),f9(a69,x32002,x32002)),x32003),x32001))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3202,plain, % 5.99/5.96 (E(x32021,f12(a69,f54(f54(f11(a69),f9(a69,x32022,x32022)),x32023),x32021))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3204,plain, % 5.99/5.96 (E(x32041,f12(a69,f54(f54(f11(a69),f9(a69,x32042,x32042)),x32043),x32041))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3206,plain, % 5.99/5.96 (E(x32061,f12(a69,f54(f54(f11(a69),f9(a69,x32062,x32062)),x32063),x32061))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3210,plain, % 5.99/5.96 (~E(f12(a69,x32101,f54(f54(f21(a69),x32102),f3(a69))),x32101)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3215,plain, % 5.99/5.96 (P9(a1,x32151,f8(a1,x32151))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3219,plain, % 5.99/5.96 (E(x32191,f12(a69,f54(f54(f11(a69),f9(a69,x32192,x32192)),x32193),x32191))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3221,plain, % 5.99/5.96 (E(x32211,f12(a69,f54(f54(f11(a69),f9(a69,x32212,x32212)),x32213),x32211))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3223,plain, % 5.99/5.96 (E(x32231,f12(a69,f54(f54(f11(a69),f9(a69,x32232,x32232)),x32233),x32231))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3227,plain, % 5.99/5.96 (P10(a69,x32271,f14(f12(a1,f27(a69,x32271),f4(a1))))), % 5.99/5.96 inference(rename_variables,[],[2023])). % 5.99/5.96 cnf(3230,plain, % 5.99/5.96 (E(x32301,f12(a69,f54(f54(f11(a69),f9(a69,x32302,x32302)),x32303),x32301))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3232,plain, % 5.99/5.96 (E(x32321,f12(a69,f54(f54(f11(a69),f9(a69,x32322,x32322)),x32323),x32321))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3235,plain, % 5.99/5.96 (~P9(a1,f4(a1),f26(a1,f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78))))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,456,496,2648,2693,2840,2955,3000,3100,3124,599,405,394,403,392,404,2324,2322,2321,2170,2318,2125,2161,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,2278,2309,2934,2066,1939,2888,2946,2987,1959,2807,2922,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2431,2625,2645,2797,2283,2954,2293,2853,2298,2865,2883,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2271,2515,2685,1980,2656,2698,2720,2835,1983,2810,2002,2616,2212,2909,2415,2262,2659,3134,2005,2012,2140,2142,2628,2454,2148,2070,2014,2230,2221,2519,2461,292,373,2098,499,2671,479,480,500,345,381,291,372,382,2386,2384,2382,2381,2379,2376,2375,2373,2369,2368,2365,2363,2360,2359,2356,2355,2354,2353,2352,2350,2349,2347,2343,2342,2338,2335,2334,2330,2328,2327,2391,2389,262,587,250,376,258,375,378,388,205,259,264,302,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182])). % 5.99/5.96 cnf(3238,plain, % 5.99/5.96 (E(x32381,f12(a69,f54(f54(f11(a69),f9(a69,x32382,x32382)),x32383),x32381))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3243,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x32431),x32431)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(3246,plain, % 5.99/5.96 (E(x32461,f12(a69,f54(f54(f11(a69),f9(a69,x32462,x32462)),x32463),x32461))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3248,plain, % 5.99/5.96 (E(x32481,f12(a69,f54(f54(f11(a69),f9(a69,x32482,x32482)),x32483),x32481))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3252,plain, % 5.99/5.96 (E(x32521,f12(a69,f54(f54(f11(a69),f9(a69,x32522,x32522)),x32523),x32521))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3254,plain, % 5.99/5.96 (E(x32541,f12(a69,f54(f54(f11(a69),f9(a69,x32542,x32542)),x32543),x32541))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3256,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x32561),x32561)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(3258,plain, % 5.99/5.96 (E(x32581,f12(a69,f54(f54(f11(a69),f9(a69,x32582,x32582)),x32583),x32581))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3260,plain, % 5.99/5.96 (E(x32601,f12(a69,f54(f54(f11(a69),f9(a69,x32602,x32602)),x32603),x32601))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3262,plain, % 5.99/5.96 (E(x32621,f12(a69,f54(f54(f11(a69),f9(a69,x32622,x32622)),x32623),x32621))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3264,plain, % 5.99/5.96 (E(x32641,f12(a69,f54(f54(f11(a69),f9(a69,x32642,x32642)),x32643),x32641))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3266,plain, % 5.99/5.96 (E(x32661,f12(a69,f54(f54(f11(a69),f9(a69,x32662,x32662)),x32663),x32661))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3269,plain, % 5.99/5.96 (E(x32691,f12(a69,f54(f54(f11(a69),f9(a69,x32692,x32692)),x32693),x32691))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3271,plain, % 5.99/5.96 (E(x32711,f12(a69,f54(f54(f11(a69),f9(a69,x32712,x32712)),x32713),x32711))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3273,plain, % 5.99/5.96 (E(x32731,f12(a69,f54(f54(f11(a69),f9(a69,x32732,x32732)),x32733),x32731))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3275,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x32751),x32751)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(3277,plain, % 5.99/5.96 (E(x32771,f12(a69,f54(f54(f11(a69),f9(a69,x32772,x32772)),x32773),x32771))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3279,plain, % 5.99/5.96 (E(x32791,f12(a69,f54(f54(f11(a69),f9(a69,x32792,x32792)),x32793),x32791))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3281,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x32811),x32811)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(3283,plain, % 5.99/5.96 (E(x32831,f12(a69,f54(f54(f11(a69),f9(a69,x32832,x32832)),x32833),x32831))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3285,plain, % 5.99/5.96 (E(x32851,f12(a69,f54(f54(f11(a69),f9(a69,x32852,x32852)),x32853),x32851))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3287,plain, % 5.99/5.96 (E(x32871,f12(a69,f54(f54(f11(a69),f9(a69,x32872,x32872)),x32873),x32871))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3289,plain, % 5.99/5.96 (E(x32891,f12(a69,f54(f54(f11(a69),f9(a69,x32892,x32892)),x32893),x32891))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3291,plain, % 5.99/5.96 (E(x32911,f12(a69,f54(f54(f11(a69),f9(a69,x32912,x32912)),x32913),x32911))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3293,plain, % 5.99/5.96 (E(x32931,f12(a69,f54(f54(f11(a69),f9(a69,x32932,x32932)),x32933),x32931))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3295,plain, % 5.99/5.96 (E(x32951,f12(a69,f54(f54(f11(a69),f9(a69,x32952,x32952)),x32953),x32951))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3297,plain, % 5.99/5.96 (E(x32971,f12(a69,f54(f54(f11(a69),f9(a69,x32972,x32972)),x32973),x32971))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3299,plain, % 5.99/5.96 (E(x32991,f12(a69,f54(f54(f11(a69),f9(a69,x32992,x32992)),x32993),x32991))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3301,plain, % 5.99/5.96 (E(x33011,f12(a69,f54(f54(f11(a69),f9(a69,x33012,x33012)),x33013),x33011))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3303,plain, % 5.99/5.96 (E(x33031,f12(a69,f54(f54(f11(a69),f9(a69,x33032,x33032)),x33033),x33031))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3305,plain, % 5.99/5.96 (E(x33051,f12(a69,f54(f54(f11(a69),f9(a69,x33052,x33052)),x33053),x33051))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3307,plain, % 5.99/5.96 (E(x33071,f12(a69,f54(f54(f11(a69),f9(a69,x33072,x33072)),x33073),x33071))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3309,plain, % 5.99/5.96 (E(x33091,f12(a69,f54(f54(f11(a69),f9(a69,x33092,x33092)),x33093),x33091))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3311,plain, % 5.99/5.96 (E(x33111,f12(a69,f54(f54(f11(a69),f9(a69,x33112,x33112)),x33113),x33111))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3313,plain, % 5.99/5.96 (E(x33131,f12(a69,f54(f54(f11(a69),f9(a69,x33132,x33132)),x33133),x33131))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3315,plain, % 5.99/5.96 (E(x33151,f12(a69,f54(f54(f11(a69),f9(a69,x33152,x33152)),x33153),x33151))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3317,plain, % 5.99/5.96 (E(x33171,f12(a69,f54(f54(f11(a69),f9(a69,x33172,x33172)),x33173),x33171))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3319,plain, % 5.99/5.96 (E(x33191,f12(a69,f54(f54(f11(a69),f9(a69,x33192,x33192)),x33193),x33191))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3321,plain, % 5.99/5.96 (E(x33211,f12(a69,f54(f54(f11(a69),f9(a69,x33212,x33212)),x33213),x33211))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3323,plain, % 5.99/5.96 (E(x33231,f12(a69,f54(f54(f11(a69),f9(a69,x33232,x33232)),x33233),x33231))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3325,plain, % 5.99/5.96 (E(x33251,f12(a69,f54(f54(f11(a69),f9(a69,x33252,x33252)),x33253),x33251))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3326,plain, % 5.99/5.96 (P40(f12(a69,f54(f54(f11(a69),f9(a69,x33261,x33261)),x33262),a69))), % 5.99/5.96 inference(scs_inference,[],[1918,2048,2041,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,2043,2800,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,456,496,2648,2693,2840,2955,3000,3100,3124,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,2170,2318,2317,2314,2125,2161,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,2278,2309,2934,2066,1939,2888,2946,2987,1959,2807,2922,2093,2725,1935,2215,2622,2083,2079,2850,2189,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2981,3243,2431,2625,2645,2797,2283,2954,2293,2853,2298,2865,2883,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,2415,2262,2659,3134,2005,2012,2140,2142,2628,2454,2148,2070,2014,2230,2221,2519,2461,292,373,2095,2098,499,2671,479,407,480,500,345,381,291,372,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2371,2370,2369,2368,2365,2364,2363,2360,2359,2358,2356,2355,2354,2353,2352,2350,2349,2347,2346,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2389,2387,262,587,250,376,258,375,378,388,205,259,264,302,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160])). % 5.99/5.96 cnf(3327,plain, % 5.99/5.96 (E(x33271,f12(a69,f54(f54(f11(a69),f9(a69,x33272,x33272)),x33273),x33271))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3329,plain, % 5.99/5.96 (E(x33291,f12(a69,f54(f54(f11(a69),f9(a69,x33292,x33292)),x33293),x33291))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3331,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x33311),x33311)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(3333,plain, % 5.99/5.96 (E(x33331,f12(a69,f54(f54(f11(a69),f9(a69,x33332,x33332)),x33333),x33331))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3335,plain, % 5.99/5.96 (E(x33351,f12(a69,f54(f54(f11(a69),f9(a69,x33352,x33352)),x33353),x33351))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3337,plain, % 5.99/5.96 (E(x33371,f12(a69,f54(f54(f11(a69),f9(a69,x33372,x33372)),x33373),x33371))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3341,plain, % 5.99/5.96 (E(x33411,f12(a69,f54(f54(f11(a69),f9(a69,x33412,x33412)),x33413),x33411))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3343,plain, % 5.99/5.96 (E(x33431,f12(a69,f54(f54(f11(a69),f9(a69,x33432,x33432)),x33433),x33431))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3345,plain, % 5.99/5.96 (E(x33451,f12(a69,f54(f54(f11(a69),f9(a69,x33452,x33452)),x33453),x33451))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3347,plain, % 5.99/5.96 (E(x33471,f12(a69,f54(f54(f11(a69),f9(a69,x33472,x33472)),x33473),x33471))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3349,plain, % 5.99/5.96 (P9(a1,x33491,f8(a1,x33491))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3354,plain, % 5.99/5.96 (~P9(a1,a74,f28(a2,f54(f15(a2,a82),f54(f54(f11(a2),f29(a2,a81)),a83))))), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,456,496,2648,2693,2840,2955,3000,3100,3124,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,2278,2309,2934,2066,1939,2888,2946,2987,1959,2807,2922,2093,2725,1935,2215,2622,2083,2079,2850,2189,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,1941,2717,2874,1977,2790,2423,2734,2981,3243,2431,2625,2645,2797,2283,2954,2293,2853,2298,2865,2883,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,2415,2262,2659,3134,2005,2680,2012,2140,2142,2628,2454,2148,2070,2014,2230,2221,2519,2461,292,373,2095,2098,499,2671,479,407,480,500,345,381,291,372,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,258,375,378,388,205,259,264,302,379,370,257,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569])). % 5.99/5.96 cnf(3357,plain, % 5.99/5.96 (P9(a1,x33571,f8(a1,x33571))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3364,plain, % 5.99/5.96 (P9(a1,x33641,f8(a1,x33641))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3367,plain, % 5.99/5.96 (E(f12(a70,f3(a70),x33671),x33671)), % 5.99/5.96 inference(rename_variables,[],[468])). % 5.99/5.96 cnf(3385,plain, % 5.99/5.96 (P9(a69,x33851,f12(a69,x33851,x33852))), % 5.99/5.96 inference(rename_variables,[],[496])). % 5.99/5.96 cnf(3392,plain, % 5.99/5.96 (P9(a1,x33921,f8(a1,x33921))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3395,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x33951),x33951)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(3397,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),f12(a1,f8(a1,f3(a1)),x33971)),x33971)), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,2278,2309,2934,2066,1939,2888,2946,2987,1959,2807,2922,2093,2725,1935,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,1977,2790,2423,2734,2981,3243,3281,2431,2625,2645,2797,3034,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2519,2461,252,292,373,2095,2098,499,2671,479,407,480,500,345,320,381,286,291,372,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,258,375,378,388,205,259,264,302,379,370,257,383,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430])). % 5.99/5.96 cnf(3398,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x33981),x33981)), % 5.99/5.96 inference(rename_variables,[],[2431])). % 5.99/5.96 cnf(3399,plain, % 5.99/5.96 (P9(a1,x33991,f8(a1,x33991))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3405,plain, % 5.99/5.96 (~E(f12(a69,x34051,f54(f54(f21(a69),x34052),f3(a69))),x34051)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3408,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x34081),x34081)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(3409,plain, % 5.99/5.96 (P9(a1,x34091,f8(a1,x34091))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3416,plain, % 5.99/5.96 (P10(a1,x34161,f12(a1,x34162,f12(a1,f27(a69,f25(f8(a1,f9(a1,x34161,x34162)))),f4(a1))))), % 5.99/5.96 inference(rename_variables,[],[2268])). % 5.99/5.96 cnf(3419,plain, % 5.99/5.96 (P9(a69,f9(a69,f3(a69),x34191),x34192)), % 5.99/5.96 inference(rename_variables,[],[2212])). % 5.99/5.96 cnf(3424,plain, % 5.99/5.96 (~P10(a69,x34241,f9(a69,x34242,x34242))), % 5.99/5.96 inference(rename_variables,[],[1941])). % 5.99/5.96 cnf(3427,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x34271),x34271)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(3434,plain, % 5.99/5.96 (~P10(a69,x34341,f9(a69,x34342,x34342))), % 5.99/5.96 inference(rename_variables,[],[1941])). % 5.99/5.96 cnf(3436,plain, % 5.99/5.96 (~P9(a1,f12(a1,f8(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1))),x34361),x34361)), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,2278,2309,2934,2066,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,1977,2790,2423,2734,2981,3243,3281,3395,3408,2431,2625,2645,2797,3034,3398,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2461,252,292,373,2095,2098,499,2671,479,407,480,500,251,345,320,381,286,291,372,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,258,375,378,388,205,259,264,302,379,370,257,383,314,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561])). % 5.99/5.96 cnf(3437,plain, % 5.99/5.96 (~P9(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x34371),x34371)), % 5.99/5.96 inference(rename_variables,[],[2431])). % 5.99/5.96 cnf(3438,plain, % 5.99/5.96 (P9(a1,x34381,f8(a1,x34381))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3441,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x34411),x34411)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(3445,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),x34451),x34451)), % 5.99/5.96 inference(rename_variables,[],[2423])). % 5.99/5.96 cnf(3458,plain, % 5.99/5.96 (P9(a1,x34581,f8(a1,x34581))), % 5.99/5.96 inference(rename_variables,[],[1924])). % 5.99/5.96 cnf(3470,plain, % 5.99/5.96 (P9(a1,x34701,x34701)), % 5.99/5.96 inference(rename_variables,[],[447])). % 5.99/5.96 cnf(3482,plain, % 5.99/5.96 (~E(f12(a69,x34821,f54(f54(f21(a69),x34822),f3(a69))),x34821)), % 5.99/5.96 inference(rename_variables,[],[2487])). % 5.99/5.96 cnf(3488,plain, % 5.99/5.96 (~P9(a1,f8(a1,f3(a1)),f54(f54(f11(a1),f28(a2,a83)),f54(f54(f21(a1),f28(a2,a83)),a78)))), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,1922,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,3438,3458,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,3367,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,3405,2278,2309,2934,2066,2120,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,2951,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,3434,1977,2790,2423,2734,2981,3243,3281,3395,3408,3427,3441,3445,2431,2625,2645,2797,3034,3398,3437,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,3416,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,3419,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2461,252,292,373,2095,2098,499,2671,493,529,447,448,495,463,479,407,480,500,251,345,320,381,286,291,372,344,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,207,258,375,378,384,388,205,259,264,302,379,370,257,383,314,585,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561,1558,1426,1044,1408,1427,1188,1429,1567,1355,1345,1320,1866,2535,1032,1161])). % 5.99/5.96 cnf(3490,plain, % 5.99/5.96 (~P9(a69,f25(f12(a1,f12(a1,f27(a69,x34901),f4(a1)),f4(a1))),x34901)), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,1922,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,3438,3458,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,3367,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,3405,2278,2309,2934,2066,2120,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,2951,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,3434,1977,2790,2423,2734,2981,3243,3281,3395,3408,3427,3441,3445,2431,2625,2645,2797,3034,3398,3437,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,3416,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,3419,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2461,252,292,373,2095,2098,499,2671,493,529,447,448,495,463,479,407,480,500,251,345,320,381,286,291,372,344,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,207,258,375,378,384,388,205,259,264,302,379,370,257,383,314,585,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561,1558,1426,1044,1408,1427,1188,1429,1567,1355,1345,1320,1866,2535,1032,1161,1367])). % 5.99/5.96 cnf(3501,plain, % 5.99/5.96 (E(f54(f54(f11(a69),f9(a69,f12(a69,f9(a69,x35011,x35011),x35012),f9(a69,x35011,x35011))),x35013),f54(f54(f11(a69),f12(a69,f9(a69,x35011,x35011),x35012)),x35013))), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,1922,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,3438,3458,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,3367,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,3405,2278,2309,2934,2066,2120,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,2951,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,3434,1977,2790,2423,2734,2981,3243,3281,3395,3408,3427,3441,3445,2431,2625,2645,2797,3034,3398,3437,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,3416,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,3419,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2461,252,292,373,2095,2098,499,2671,493,529,447,448,495,463,479,407,480,500,251,345,320,381,286,291,372,344,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,207,258,375,378,384,388,205,259,264,302,379,370,257,383,314,585,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561,1558,1426,1044,1408,1427,1188,1429,1567,1355,1345,1320,1866,2535,1032,1161,1367,1425,21,750,1277,1418,1068])). % 5.99/5.96 cnf(3520,plain, % 5.99/5.96 (~P10(a70,f3(a70),f54(f54(f11(a70),f9(a70,x35201,x35201)),x35202))), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,1922,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,3438,3458,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,3367,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,3405,2278,2309,2934,2066,2120,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,2951,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,3434,1977,2790,2423,2734,2981,3243,3281,3395,3408,3427,3441,3445,2431,2625,2645,2797,3034,3398,3437,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,3416,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,3419,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2461,252,292,373,2095,2098,499,2671,493,529,447,448,495,463,479,407,480,500,251,345,320,381,286,291,372,344,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,207,258,375,378,384,388,205,259,264,302,379,371,370,257,383,314,585,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561,1558,1426,1044,1408,1427,1188,1429,1567,1355,1345,1320,1866,2535,1032,1161,1367,1425,21,750,1277,1418,1068,1061,1323,1365,1023,1838,40,1270,1519,1139,1311])). % 5.99/5.96 cnf(3529,plain, % 5.99/5.96 (E(x35291,f12(a69,f54(f54(f11(a69),f9(a69,x35292,x35292)),x35293),x35291))), % 5.99/5.96 inference(rename_variables,[],[2030])). % 5.99/5.96 cnf(3534,plain, % 5.99/5.96 (~P10(a1,x35341,f12(a1,f54(f54(f11(a1),f9(a1,x35342,x35342)),x35343),f10(a1,f10(a1,x35341))))), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,1922,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,3438,3458,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,3367,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,3347,3529,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,3405,2278,2309,2934,2066,2120,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,2951,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,3434,1977,2790,2423,2734,2981,3243,3281,3395,3408,3427,3441,3445,2431,2625,2645,2797,3034,3398,3437,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,3416,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,3419,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2101,2461,252,287,292,373,2095,2098,499,2671,493,529,447,448,495,463,479,407,480,500,251,345,320,381,286,291,372,344,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,207,258,375,378,384,388,205,259,264,302,379,371,370,257,383,314,585,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561,1558,1426,1044,1408,1427,1188,1429,1567,1355,1345,1320,1866,2535,1032,1161,1367,1425,21,750,1277,1418,1068,1061,1323,1365,1023,1838,40,1270,1519,1139,1311,1379,1536,1692,151,152,1133,1163])). % 5.99/5.96 cnf(3539,plain, % 5.99/5.96 (~P9(a70,f12(a70,f9(a70,f4(a70),f3(a70)),f4(a70)),f4(a70))), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,1922,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,3438,3458,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,3367,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,1953,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,3347,3529,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,3405,3482,2278,2309,2934,2066,2120,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,2951,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,3434,1977,2790,2423,2734,2981,3243,3281,3395,3408,3427,3441,3445,2431,2625,2645,2797,3034,3398,3437,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,3416,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,3419,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2101,2461,252,287,292,373,2095,2098,499,2671,493,529,447,448,495,463,479,407,480,500,251,345,320,381,286,291,372,344,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,2391,2390,2389,2038,2387,262,587,250,376,207,258,375,378,384,388,205,259,264,302,379,371,370,257,383,314,585,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561,1558,1426,1044,1408,1427,1188,1429,1567,1355,1345,1320,1866,2535,1032,1161,1367,1425,21,750,1277,1418,1068,1061,1323,1365,1023,1838,40,1270,1519,1139,1311,1379,1536,1692,151,152,1133,1163,1051,1377])). % 5.99/5.96 cnf(3552,plain, % 5.99/5.96 (~P10(a1,f3(a1),f28(a2,a83))), % 5.99/5.96 inference(scs_inference,[],[607,1918,2048,2041,1922,2394,1920,2050,2915,3056,2533,1924,2688,2794,2839,3037,3103,3215,3349,3357,3364,3392,3399,3409,3438,3458,2043,2800,2392,2537,2046,435,402,401,468,2651,2714,2857,2958,3071,3109,3111,3256,3275,3331,3367,456,457,496,2648,2693,2840,2955,3000,3100,3124,3154,3385,599,393,405,394,403,392,404,2326,2325,2324,2323,1953,2322,2321,2320,1945,2170,2318,2317,2314,2125,2161,2507,2081,2030,2901,3023,3025,3030,3032,3045,3049,3067,3069,3080,3093,3095,3121,3123,3132,3137,3142,3152,3167,3174,3180,3188,3190,3192,3200,3202,3204,3206,3219,3221,3223,3230,3232,3238,3246,3248,3252,3254,3258,3260,3262,3264,3266,3269,3271,3273,3277,3279,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,3319,3321,3323,3325,3327,3329,3333,3335,3337,3341,3343,3345,3347,3529,2032,2487,2769,2847,2868,2898,2905,2925,2929,2939,2961,2966,2984,3013,3027,3051,3061,3091,3106,3139,3146,3159,3185,3210,3405,3482,2278,2309,2934,2066,2120,1939,2888,2946,2987,2994,1959,2807,2922,3197,2093,2725,2951,1935,2756,2215,2622,2083,2079,2850,2189,2459,2315,472,2208,2110,2112,1962,2785,1965,2854,2902,3077,1968,2023,2747,2873,3227,1941,2717,2874,3064,3424,3434,1977,2790,2423,2734,2981,3243,3281,3395,3408,3427,3441,3445,2431,2625,2645,2797,3034,3398,3437,2283,2954,2293,2853,2999,2298,2865,2883,3086,2233,2448,2776,2895,3009,2451,2642,2753,2017,2666,2711,3127,2020,2254,2026,2523,2816,2281,2296,2435,2636,2525,2631,2438,2268,2708,2862,3416,2271,2515,2685,1980,2656,2698,2720,2835,3164,1983,2810,2002,2616,2212,2909,3010,3419,2415,2262,2659,3134,2005,2680,2012,2140,3040,2142,2628,3016,2454,2148,2070,2014,2230,2221,2441,2519,2101,2461,252,253,287,292,373,2095,2098,499,2671,493,529,447,3470,448,495,463,479,407,480,500,251,345,320,381,286,291,372,344,382,2386,2385,2384,2383,2382,2381,2380,2379,2378,2377,2376,2375,2374,2373,2372,2371,2370,2369,2368,2366,2365,2364,2363,2360,2359,2358,2357,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2339,2338,2337,2336,2335,2334,2333,2332,2331,2330,2329,2328,2327,2308,586,2391,2390,2389,2038,2387,262,317,587,250,376,207,231,258,375,378,384,388,205,259,264,302,379,371,370,257,383,314,585,249,941,982,1007,1326,1368,1424,17,1420,1067,1258,1060,1431,864,992,1274,1110,884,890,1497,889,1014,1598,874,1363,926,1422,1078,998,1352,945,1065,799,1186,927,1392,1252,1004,1499,1273,846,819,1417,1088,1325,925,741,1893,1275,1419,1348,831,1256,39,1284,1025,28,8,744,1089,857,798,851,1498,1364,1254,997,1351,852,1259,2,1210,1175,1212,1442,1443,1754,1787,1789,1792,1794,1796,1798,800,1366,1009,1542,1292,1438,1439,720,691,1791,679,1184,1604,1797,700,946,1709,1606,1073,1199,767,1216,1185,1401,1612,712,1755,912,1012,690,1132,1177,1399,862,1215,708,1174,1130,1158,1138,1156,1400,948,1183,863,1783,917,1490,1403,947,954,769,1159,1027,1176,1029,1195,967,724,1202,787,717,1013,1793,1608,1086,1613,911,1445,899,1385,125,171,716,117,200,1178,1293,1441,930,202,1157,155,709,1440,1801,1402,919,1541,129,122,719,1610,1785,161,1099,1197,1795,1094,3,182,195,710,1543,1327,1753,147,1057,1200,1444,1180,189,1756,1539,1151,135,1708,149,968,159,900,722,1074,176,1211,1204,1030,1295,1786,166,1098,1384,167,1095,1181,145,932,715,170,174,1358,1093,1599,190,196,120,193,1179,713,714,1308,183,164,136,921,1407,142,148,119,1182,172,1788,1173,114,185,1172,121,139,173,128,197,133,165,194,116,143,131,138,163,175,201,115,150,146,191,144,184,134,113,124,132,141,204,198,126,169,199,154,188,123,137,187,130,192,160,158,127,118,168,203,181,178,186,162,153,1239,1240,1569,1234,1235,1237,1238,1268,1353,1386,1446,1473,1375,1687,1171,1471,1344,1388,1430,1456,979,1559,1236,969,1233,1114,1038,1428,1560,1036,1561,1558,1426,1044,1408,1427,1188,1429,1567,1355,1345,1320,1866,2535,1032,1161,1367,1425,21,750,1277,1418,1068,1061,1323,1365,1023,1838,40,1270,1519,1139,1311,1379,1536,1692,151,152,1133,1163,1051,1377,923,1125,1450,1472,1022,1304])). % 5.99/5.96 cnf(3559,plain, % 5.99/5.96 (~P9(a1,f27(a69,f25(f12(a1,x35591,f4(a1)))),x35591)), % 5.99/5.96 inference(rename_variables,[],[3015])). % 5.99/5.96 cnf(3562,plain, % 5.99/5.96 (~P9(a69,f14(f12(a1,f27(a69,x35621),f4(a1))),x35621)), % 5.99/5.96 inference(rename_variables,[],[3063])). % 5.99/5.96 cnf(3568,plain, % 5.99/5.96 (~P9(a69,f14(f12(a1,f27(a69,x35681),f4(a1))),x35681)), % 5.99/5.96 inference(rename_variables,[],[3063])). % 5.99/5.96 cnf(3576,plain, % 5.99/5.96 (P10(a70,f9(a70,f12(a70,f9(a70,x35761,f4(a70)),f4(a70)),f4(a70)),x35761)), % 5.99/5.96 inference(rename_variables,[],[2679])). % 5.99/5.96 cnf(3587,plain, % 5.99/5.96 (~P9(a1,f12(a1,f8(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1))),x35871),x35871)), % 5.99/5.96 inference(rename_variables,[],[3436])). % 5.99/5.96 cnf(3593,plain, % 5.99/5.96 (~P10(a69,x35931,f9(a69,f9(a69,x35931,x35932),x35933))), % 5.99/5.96 inference(rename_variables,[],[2789])). % 5.99/5.96 cnf(3599,plain, % 5.99/5.96 (~P10(a69,f12(a69,f12(a69,x35991,x35992),f54(f54(f21(a69),x35993),f3(a69))),x35991)), % 5.99/5.96 inference(rename_variables,[],[2978])). % 5.99/5.96 cnf(3605,plain, % 5.99/5.96 (~P9(a70,f12(a70,f54(f54(f11(a70),f9(a70,x36051,x36052)),x36053),f12(a70,f12(a70,f54(f54(f11(a70),f9(a70,x36052,x36051)),x36053),x36054),f4(a70))),x36054)), % 5.99/5.96 inference(rename_variables,[],[2823])). % 5.99/5.96 cnf(3610,plain, % 5.99/5.96 (~P10(a69,f12(a69,f12(a69,x36101,x36102),f54(f54(f21(a69),x36103),f3(a69))),x36101)), % 5.99/5.96 inference(rename_variables,[],[2978])). % 5.99/5.96 cnf(3623,plain, % 5.99/5.96 (~P10(a70,f12(a70,f9(a70,x36231,f4(a70)),f4(a70)),x36231)), % 5.99/5.96 inference(rename_variables,[],[1986])). % 5.99/5.96 cnf(3633,plain, % 5.99/5.96 (P9(a1,x36331,f8(a1,f8(a1,x36331)))), % 5.99/5.96 inference(rename_variables,[],[2687])). % 5.99/5.96 cnf(3636,plain, % 5.99/5.96 (~P10(a70,f12(a70,f9(a70,x36361,f4(a70)),f4(a70)),x36361)), % 5.99/5.96 inference(rename_variables,[],[1986])). % 5.99/5.96 cnf(3639,plain, % 5.99/5.96 (P10(a1,x36391,f27(a69,f25(f8(a1,f12(a1,x36391,f4(a1))))))), % 5.99/5.96 inference(rename_variables,[],[2876])). % 5.99/5.96 cnf(3646,plain, % 5.99/5.96 (P9(a69,x36461,f12(a69,f54(f54(f11(a69),x36462),x36463),f12(a69,f54(f54(f11(a69),f9(a69,x36462,x36462)),x36463),f12(a69,x36464,x36461))))), % 5.99/5.96 inference(rename_variables,[],[3002])). % 5.99/5.96 cnf(3657,plain, % 5.99/5.96 (P10(a70,f9(a70,f12(a70,f9(a70,x36571,f4(a70)),f4(a70)),f4(a70)),x36571)), % 5.99/5.96 inference(rename_variables,[],[2679])). % 5.99/5.96 cnf(3662,plain, % 5.99/5.96 (~P10(a69,f12(a69,f12(a69,x36621,x36622),f54(f54(f21(a69),x36623),f3(a69))),x36621)), % 5.99/5.96 inference(rename_variables,[],[2978])). % 5.99/5.96 cnf(3672,plain, % 5.99/5.96 (~P10(a1,f12(a1,f12(a1,f27(a69,f25(f3(a1))),f4(a1)),f12(a1,x36721,f3(a1))),x36721)), % 5.99/5.96 inference(rename_variables,[],[2653])). % 5.99/5.96 cnf(3675,plain, % 5.99/5.96 (P10(a69,x36751,f12(a69,x36751,f54(f54(f21(a69),x36752),f3(a69))))), % 5.99/5.96 inference(rename_variables,[],[2233])). % 5.99/5.96 cnf(3680,plain, % 5.99/5.96 (E(f54(f54(f11(a69),f4(a69)),x36801),x36801)), % 5.99/5.96 inference(rename_variables,[],[451])). % 5.99/5.96 cnf(3685,plain, % 5.99/5.96 (~P9(a69,f14(f12(a1,f27(a69,x36851),f4(a1))),x36851)), % 5.99/5.96 inference(rename_variables,[],[3063])). % 5.99/5.96 cnf(3696,plain, % 5.99/5.96 (~P10(a69,f12(a69,f12(a69,x36961,x36962),f54(f54(f21(a69),x36963),f3(a69))),x36961)), % 5.99/5.96 inference(rename_variables,[],[2978])). % 5.99/5.96 cnf(3708,plain, % 5.99/5.96 (~E(f12(a1,f12(a69,f9(a69,x37081,f3(a69)),f3(a69)),f4(a1)),x37081)), % 5.99/5.96 inference(rename_variables,[],[2633])). % 5.99/5.96 cnf(3723,plain, % 5.99/5.96 (~P9(a69,f14(f12(a1,f27(a69,x37231),f4(a1))),x37231)), % 5.99/5.96 inference(rename_variables,[],[3063])). % 5.99/5.96 cnf(3757,plain, % 5.99/5.96 (E(f54(f54(f11(a69),f4(a69)),x37571),x37571)), % 5.99/5.96 inference(rename_variables,[],[451])). % 5.99/5.96 cnf(3776,plain, % 5.99/5.96 ($false), % 5.99/5.96 inference(scs_inference,[],[3354,2968,3002,3646,2653,3672,2978,3599,3610,3662,3696,2687,3633,3020,2736,3539,455,451,3680,3757,1986,3623,3636,2247,510,2505,2473,2178,2233,3675,3552,2972,3501,2773,2764,2638,2924,2633,3708,3145,3326,3488,2730,3063,3562,3568,3685,3723,3490,2834,3436,3587,2789,3593,3397,2775,2630,2823,3605,3534,3015,3559,3039,2876,3639,3170,2679,3576,3657,2744,2778,3235,3129,3520,3083,2541,479,206,259,837,1031,1035,1052,1117,5,1360,1116,873,1277,1060,982,750,1326,1418,1424,1425,1368,1497,992,926,1032,1422,1065,1420,1161,884,1078,799,1186,741,890,1352,1431,1088,998,941,1392,1252,1275,889,17,1325,1348,1893,864,1023,1258,1274,1284,1323,1254,846,1110,1061,1499,819,1022,1273,1363,1365,851,1256,1259,1419,1025,927,39,857,1270,945,925,1089,28,1498,798,1004,744,1364,1519,997,1351,852,2,788,887]), % 5.99/5.96 ['proof']). % 5.99/5.96 % SZS output end Proof % 5.99/5.96 % Total time :4.640000s %------------------------------------------------------------------------------