%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW179+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % Computer : n020.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 18:06:18 EDT 2024 % Result : Theorem 4.97s 4.85s % Output : CNFRefutation 4.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWW179+1 : TPTP v8.2.0. Released v5.2.0. % 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s % 0.12/0.34 % Computer : n020.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Wed Jun 19 05:23:54 EDT 2024 % 0.12/0.34 % CPUTime : % 0.20/0.58 start to proof:theBenchmark % 4.71/4.77 %------------------------------------------- % 4.71/4.77 % File :CSE---1.7 % 4.71/4.77 % Problem :theBenchmark % 4.71/4.77 % Transform :cnf % 4.71/4.77 % Format :tptp:raw % 4.71/4.77 % Command :java -jar mcs_scs.jar %d %s % 4.71/4.78 % 4.71/4.78 % Result :Theorem 3.450000s % 4.71/4.78 % Output :CNFRefutation 3.450000s % 4.71/4.78 %------------------------------------------- % 4.71/4.78 %------------------------------------------------------------------------------ % 4.71/4.78 % File : SWW179+1 : TPTP v8.2.0. Released v5.2.0. % 4.71/4.78 % Domain : Software Verification % 4.71/4.78 % Problem : Fundamental Theorem of Algebra 435801, 1000 axioms selected % 4.71/4.78 % Version : Especial. % 4.71/4.78 % English : % 4.71/4.78 % 4.71/4.78 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 4.71/4.78 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 4.71/4.78 % Source : [Bla11] % 4.71/4.78 % Names : fta_435801.1000.p [Bla11] % 4.71/4.78 % 4.71/4.78 % Status : Theorem % 4.71/4.78 % Rating : 0.44 v8.1.0, 0.50 v7.5.0, 0.56 v7.4.0, 0.50 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.43 v7.0.0, 0.40 v6.4.0, 0.42 v6.2.0, 0.48 v6.1.0, 0.57 v6.0.0, 0.48 v5.5.0, 0.67 v5.4.0, 0.68 v5.3.0, 0.74 v5.2.0 % 4.71/4.78 % Syntax : Number of formulae : 1275 ( 360 unt; 0 def) % 4.71/4.78 % Number of atoms : 3036 ( 754 equ) % 4.71/4.78 % Maximal formula atoms : 13 ( 2 avg) % 4.71/4.78 % Number of connectives : 1916 ( 155 ~; 56 |; 124 &) % 4.71/4.78 % ( 247 <=>;1334 =>; 0 <=; 0 <~>) % 4.71/4.78 % Maximal formula depth : 13 ( 5 avg) % 4.71/4.78 % Maximal term depth : 7 ( 2 avg) % 4.71/4.78 % Number of predicates : 78 ( 77 usr; 0 prp; 1-3 aty) % 4.71/4.78 % Number of functors : 35 ( 35 usr; 9 con; 0-5 aty) % 4.71/4.78 % Number of variables : 2748 (2707 !; 41 ?) % 4.71/4.78 % SPC : FOF_THM_RFO_SEQ % 4.71/4.78 % 4.71/4.78 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 4.71/4.78 % 2011-03-01 11:15:06 % 4.71/4.78 %------------------------------------------------------------------------------ % 4.71/4.78 %----Relevant facts (997) % 4.71/4.78 fof(fact_ext,axiom, % 4.71/4.78 ! [V_g_2,V_f_2] : % 4.71/4.78 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 4.71/4.78 => V_f_2 = V_g_2 ) ). % 4.71/4.78 % 4.71/4.78 fof(fact__0960_A_060_061_Acmod_Ac_096,axiom, % 4.71/4.78 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)) ). % 4.71/4.78 % 4.71/4.78 fof(fact__0960_A_060_061_Aabs_A_Ir_A_K_Am_J_096,axiom, % 4.71/4.78 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))) ). % 4.71/4.78 % 4.71/4.78 fof(fact_abs__add__one__gt__zero,axiom, % 4.71/4.78 ! [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))) ). % 4.71/4.78 % 4.71/4.78 fof(fact_abs__add__one__not__less__self,axiom, % 4.71/4.78 ! [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) ). % 4.71/4.78 % 4.71/4.78 fof(fact_norm__add__less,axiom, % 4.71/4.78 ! [V_s,V_y,V_r,V_x,T_a] : % 4.71/4.78 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) % 4.71/4.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) % 4.71/4.78 => 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)) ) ) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_norm__mult__less,axiom, % 4.71/4.78 ! [V_s,V_y,V_r,V_x,T_a] : % 4.71/4.78 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) % 4.71/4.78 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) % 4.71/4.78 => 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)) ) ) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_zero__less__norm__iff,axiom, % 4.71/4.78 ! [V_x_2,T_a] : % 4.71/4.78 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.78 => ( 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)) % 4.71/4.78 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_zero__less__two,axiom, % 4.71/4.78 ! [T_a] : % 4.71/4.78 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.78 => 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))) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_not__sum__squares__lt__zero,axiom, % 4.71/4.78 ! [V_y,V_x,T_a] : % 4.71/4.78 ( class_Rings_Olinordered__ring(T_a) % 4.71/4.78 => ~ 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)) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_sum__squares__gt__zero__iff,axiom, % 4.71/4.78 ! [V_y_2,V_x_2,T_a] : % 4.71/4.78 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.78 => ( 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))) % 4.71/4.78 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.78 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_real__two__squares__add__zero__iff,axiom, % 4.71/4.78 ! [V_y_2,V_x_2] : % 4.71/4.78 ( 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) % 4.71/4.78 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.78 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_norm__one,axiom, % 4.71/4.78 ! [T_a] : % 4.71/4.78 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 4.71/4.78 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_norm__not__less__zero,axiom, % 4.71/4.78 ! [V_x,T_a] : % 4.71/4.78 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.78 => ~ 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)) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_not__real__square__gt__zero,axiom, % 4.71/4.78 ! [V_x_2] : % 4.71/4.78 ( ~ 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)) % 4.71/4.78 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 4.71/4.78 % 4.71/4.78 fof(fact_real__le__refl,axiom, % 4.71/4.78 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ). % 4.71/4.78 % 4.71/4.78 fof(fact_real__le__linear,axiom, % 4.71/4.78 ! [V_w,V_z] : % 4.71/4.78 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) % 4.71/4.78 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ). % 4.71/4.78 % 4.71/4.79 fof(fact_real__le__trans,axiom, % 4.71/4.79 ! [V_k,V_j,V_i] : % 4.71/4.79 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k) % 4.71/4.79 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_real__le__antisym,axiom, % 4.71/4.79 ! [V_w,V_z] : % 4.71/4.79 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) % 4.71/4.79 => V_z = V_w ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_less__eq__real__def,axiom, % 4.71/4.79 ! [V_y_2,V_x_2] : % 4.71/4.79 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 4.71/4.79 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) % 4.71/4.79 | V_x_2 = V_y_2 ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_real__less__def,axiom, % 4.71/4.79 ! [V_y_2,V_x_2] : % 4.71/4.79 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) % 4.71/4.79 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 4.71/4.79 & V_x_2 != V_y_2 ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_real__norm__def,axiom, % 4.71/4.79 ! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) ). % 4.71/4.79 % 4.71/4.79 fof(fact_real__add__left__mono,axiom, % 4.71/4.79 ! [V_z,V_y,V_x] : % 4.71/4.79 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) % 4.71/4.79 => 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)) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_complex__mod__triangle__sub,axiom, % 4.71/4.79 ! [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))) ). % 4.71/4.79 % 4.71/4.79 fof(fact_split__mult__neg__le,axiom, % 4.71/4.79 ! [V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__cancel__semiring(T_a) % 4.71/4.79 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) % 4.71/4.79 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) % 4.71/4.79 => 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)) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_split__mult__pos__le,axiom, % 4.71/4.79 ! [V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__ring(T_a) % 4.71/4.79 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) % 4.71/4.79 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) ) % 4.71/4.79 => 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)) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__mono,axiom, % 4.71/4.79 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__mono_H,axiom, % 4.71/4.79 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__left__mono__neg,axiom, % 4.71/4.79 ! [V_c,V_a,V_b,T_a] : % 4.71/4.79 ( class_Rings_Oordered__ring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__right__mono__neg,axiom, % 4.71/4.79 ! [V_c,V_a,V_b,T_a] : % 4.71/4.79 ( class_Rings_Oordered__ring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_comm__mult__left__mono,axiom, % 4.71/4.79 ! [V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__comm__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__left__mono,axiom, % 4.71/4.79 ! [V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__right__mono,axiom, % 4.71/4.79 ! [V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__nonpos__nonpos,axiom, % 4.71/4.79 ! [V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__ring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__nonpos__nonneg,axiom, % 4.71/4.79 ! [V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__cancel__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__nonneg__nonpos2,axiom, % 4.71/4.79 ! [V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__cancel__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__nonneg__nonpos,axiom, % 4.71/4.79 ! [V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__cancel__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__nonneg__nonneg,axiom, % 4.71/4.79 ! [V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Oordered__cancel__semiring(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.79 => 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)) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__le__0__iff,axiom, % 4.71/4.79 ! [V_b_2,V_a_2,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) % 4.71/4.79 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_zero__le__mult__iff,axiom, % 4.71/4.79 ! [V_b_2,V_a_2,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.79 => ( 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_2),V_b_2)) % 4.71/4.79 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) % 4.71/4.79 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.79 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_zero__le__square,axiom, % 4.71/4.79 ! [V_a,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__ring(T_a) % 4.71/4.79 => 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)) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_zero__le__one,axiom, % 4.71/4.79 ! [T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.79 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_not__one__le__zero,axiom, % 4.71/4.79 ! [T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.79 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_norm__ge__zero,axiom, % 4.71/4.79 ! [V_x,T_a] : % 4.71/4.79 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.79 => 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)) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__left__le__imp__le,axiom, % 4.71/4.79 ! [V_b,V_a,V_c,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.79 => ( 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)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__right__le__imp__le,axiom, % 4.71/4.79 ! [V_b,V_c,V_a,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.79 => ( 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)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__less__imp__less__left,axiom, % 4.71/4.79 ! [V_b,V_a,V_c,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.79 => ( 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)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__left__less__imp__less,axiom, % 4.71/4.79 ! [V_b,V_a,V_c,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring(T_a) % 4.71/4.79 => ( 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)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__less__imp__less__right,axiom, % 4.71/4.79 ! [V_b,V_c,V_a,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.79 => ( 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)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__right__less__imp__less,axiom, % 4.71/4.79 ! [V_b,V_c,V_a,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring(T_a) % 4.71/4.79 => ( 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)) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__le__less__imp__less,axiom, % 4.71/4.79 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__less__le__imp__less,axiom, % 4.71/4.79 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__strict__mono_H,axiom, % 4.71/4.79 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.79 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.79 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.79 => 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)) ) ) ) ) ) ). % 4.71/4.79 % 4.71/4.79 fof(fact_mult__strict__mono,axiom, % 4.71/4.79 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.80 => 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)) ) ) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__le__cancel__left__neg,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 4.71/4.80 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_a_2) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__le__cancel__left__pos,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 4.71/4.80 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_sum__squares__le__zero__iff,axiom, % 4.71/4.80 ! [V_y_2,V_x_2,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( 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)) % 4.71/4.80 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.80 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_sum__squares__ge__zero,axiom, % 4.71/4.80 ! [V_y,V_x,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring(T_a) % 4.71/4.80 => 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))) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__left__le__one__le,axiom, % 4.71/4.80 ! [V_y,V_x,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.80 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__right__le__one__le,axiom, % 4.71/4.80 ! [V_y,V_x,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.80 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_abs__eq__mult,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Oordered__ring__abs(T_a) % 4.71/4.80 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.80 | c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) % 4.71/4.80 & ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.80 | c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) ) % 4.71/4.80 => 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)) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_abs__mult__pos,axiom, % 4.71/4.80 ! [V_y,V_x,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 4.71/4.80 => 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)) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_norm__le__zero__iff,axiom, % 4.71/4.80 ! [V_x_2,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.80 => ( 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)) % 4.71/4.80 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_norm__mult__ineq,axiom, % 4.71/4.80 ! [V_y,V_x,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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))) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__mult__le__cancel__iff2,axiom, % 4.71/4.80 ! [V_y_2,V_x_2,V_z_2] : % 4.71/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 4.71/4.80 => ( 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)) % 4.71/4.80 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__mult__le__cancel__iff1,axiom, % 4.71/4.80 ! [V_y_2,V_x_2,V_z_2] : % 4.71/4.80 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 4.71/4.80 => ( 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)) % 4.71/4.80 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_norm__triangle__ineq,axiom, % 4.71/4.80 ! [V_y,V_x,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.80 => 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))) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_convex__bound__le,axiom, % 4.71/4.80 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__1(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) % 4.71/4.80 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a) % 4.71/4.80 => 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) ) ) ) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_linorder__neqE__linordered__idom,axiom, % 4.71/4.80 ! [V_y,V_x,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.80 => ( V_x != V_y % 4.71/4.80 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.80 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__mult__assoc,axiom, % 4.71/4.80 ! [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)) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__mult__commute,axiom, % 4.71/4.80 ! [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) ). % 4.71/4.80 % 4.71/4.80 fof(fact_convex__bound__lt,axiom, % 4.71/4.80 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) % 4.71/4.80 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a) % 4.71/4.80 => 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) ) ) ) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_divisors__zero,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Ono__zero__divisors(T_a) % 4.71/4.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.80 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.80 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_no__zero__divisors,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Ono__zero__divisors(T_a) % 4.71/4.80 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.80 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.80 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__eq__0__iff,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,T_a] : % 4.71/4.80 ( class_Rings_Oring__no__zero__divisors(T_a) % 4.71/4.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.80 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.80 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__right_Ozero,axiom, % 4.71/4.80 ! [V_x,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult_Ozero__right,axiom, % 4.71/4.80 ! [V_a,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__zero__right,axiom, % 4.71/4.80 ! [V_a,T_a] : % 4.71/4.80 ( class_Rings_Omult__zero(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__left_Ozero,axiom, % 4.71/4.80 ! [V_y,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult_Ozero__left,axiom, % 4.71/4.80 ! [V_b,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__zero__left,axiom, % 4.71/4.80 ! [V_a,T_a] : % 4.71/4.80 ( class_Rings_Omult__zero(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_zero__neq__one,axiom, % 4.71/4.80 ! [T_a] : % 4.71/4.80 ( class_Rings_Ozero__neq__one(T_a) % 4.71/4.80 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_one__neq__zero,axiom, % 4.71/4.80 ! [T_a] : % 4.71/4.80 ( class_Rings_Ozero__neq__one(T_a) % 4.71/4.80 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_combine__common__factor,axiom, % 4.71/4.80 ! [V_c,V_b,V_e,V_a,T_a] : % 4.71/4.80 ( class_Rings_Osemiring(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__left_Oadd,axiom, % 4.71/4.80 ! [V_ya,V_y,V_x,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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)) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult_Oadd__left,axiom, % 4.71/4.80 ! [V_b,V_a_H,V_a,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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)) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_comm__semiring__class_Odistrib,axiom, % 4.71/4.80 ! [V_c,V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Ocomm__semiring(T_a) % 4.71/4.80 => 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)) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__right_Oadd,axiom, % 4.71/4.80 ! [V_y,V_x,V_xa,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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)) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult_Oadd__right,axiom, % 4.71/4.80 ! [V_b_H,V_b,V_a,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.80 => 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)) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_abs__mult__self,axiom, % 4.71/4.80 ! [V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_abs__mult,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.80 => 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)) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_abs__one,axiom, % 4.71/4.80 ! [T_a] : % 4.71/4.80 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.80 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__mult__left__cancel,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,V_ca_2] : % 4.71/4.80 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2) % 4.71/4.80 <=> V_a_2 = V_b_2 ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__mult__right__cancel,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,V_ca_2] : % 4.71/4.80 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.80 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2) % 4.71/4.80 <=> V_a_2 = V_b_2 ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__zero__not__eq__one,axiom, % 4.71/4.80 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__mult__1,axiom, % 4.71/4.80 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ). % 4.71/4.80 % 4.71/4.80 fof(fact_real__add__mult__distrib,axiom, % 4.71/4.80 ! [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)) ). % 4.71/4.80 % 4.71/4.80 fof(fact_abs__norm__cancel,axiom, % 4.71/4.80 ! [V_a,T_a] : % 4.71/4.80 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.80 => 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) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__strict__left__mono__neg,axiom, % 4.71/4.80 ! [V_c,V_a,V_b,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__strict__right__mono__neg,axiom, % 4.71/4.80 ! [V_c,V_a,V_b,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_comm__mult__strict__left__mono,axiom, % 4.71/4.80 ! [V_c,V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__strict__left__mono,axiom, % 4.71/4.80 ! [V_c,V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__strict__right__mono,axiom, % 4.71/4.80 ! [V_c,V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__neg__neg,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__neg__pos,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__less__cancel__left__neg,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 4.71/4.80 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_zero__less__mult__pos2,axiom, % 4.71/4.80 ! [V_a,V_b,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( 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)) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.80 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_zero__less__mult__pos,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( 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)) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.80 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__pos__neg2,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__pos__neg,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__pos__pos,axiom, % 4.71/4.80 ! [V_b,V_a,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__semiring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.80 => 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)) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__less__cancel__left__pos,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 4.71/4.80 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__less__cancel__left__disj,axiom, % 4.71/4.80 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 4.71/4.80 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 4.71/4.80 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) % 4.71/4.80 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_mult__less__cancel__right__disj,axiom, % 4.71/4.80 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 4.71/4.80 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.80 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) % 4.71/4.80 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 4.71/4.80 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) % 4.71/4.80 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.80 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) ) ). % 4.71/4.80 % 4.71/4.80 fof(fact_not__square__less__zero,axiom, % 4.71/4.80 ! [V_a,T_a] : % 4.71/4.81 ( class_Rings_Olinordered__ring(T_a) % 4.71/4.81 => ~ 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_pos__add__strict,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_sum__squares__eq__zero__iff,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,T_a] : % 4.71/4.81 ( class_Rings_Olinordered__ring__strict(T_a) % 4.71/4.81 => ( 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) % 4.71/4.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.81 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_zero__less__one,axiom, % 4.71/4.81 ! [T_a] : % 4.71/4.81 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_not__one__less__zero,axiom, % 4.71/4.81 ! [T_a] : % 4.71/4.81 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_less__1__mult,axiom, % 4.71/4.81 ! [V_n,V_m,T_a] : % 4.71/4.81 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_less__add__one,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.81 => 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))) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__mult__less,axiom, % 4.71/4.81 ! [V_d,V_b,V_c,V_a,T_a] : % 4.71/4.81 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_c) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_b),V_d) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_norm__eq__zero,axiom, % 4.71/4.81 ! [V_x_2,T_a] : % 4.71/4.81 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.81 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.81 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_norm__zero,axiom, % 4.71/4.81 ! [T_a] : % 4.71/4.81 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.81 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_norm__mult,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_real__mult__less__mono2,axiom, % 4.71/4.81 ! [V_y,V_x,V_z] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y) % 4.71/4.81 => 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)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_real__mult__order,axiom, % 4.71/4.81 ! [V_y,V_x] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) % 4.71/4.81 => 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)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_real__mult__less__iff1,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,V_z_2] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 4.71/4.81 => ( 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)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_m,axiom, % 4.71/4.81 ! [B_z] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) % 4.71/4.81 => 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_cs____),B_z)),v_m____) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_norm__ratiotest__lemma,axiom, % 4.71/4.81 ! [V_y,V_x,V_c,T_a] : % 4.71/4.81 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.81 => ( 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))) % 4.71/4.81 => V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_rabs__ratiotest__lemma,axiom, % 4.71/4.81 ! [V_y,V_x,V_c] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.81 => ( 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))) % 4.71/4.81 => V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__nonpos__neg,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__neg__nonpos,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__strict__increasing2,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__strict__increasing,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__nonneg__pos,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__pos__nonneg,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__triangle__ineq,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => 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))) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__of__pos,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_zero__less__abs__iff,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a_2)) % 4.71/4.81 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_pCons,axiom, % 4.71/4.81 ? [B_m] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m) % 4.71/4.81 & ! [B_z] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) % 4.71/4.81 => 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_cs____),B_z)),B_m) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_zero__reorient,axiom, % 4.71/4.81 ! [V_x_2,T_a] : % 4.71/4.81 ( class_Groups_Ozero(T_a) % 4.71/4.81 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 % 4.71/4.81 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oab__semigroup__mult(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oab__semigroup__add(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__left__cancel,axiom, % 4.71/4.81 ! [V_ca_2,V_b_2,V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Ocancel__semigroup__add(T_a) % 4.71/4.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ca_2) % 4.71/4.81 <=> V_b_2 = V_ca_2 ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__right__cancel,axiom, % 4.71/4.81 ! [V_ca_2,V_a_2,V_b_2,T_a] : % 4.71/4.81 ( class_Groups_Ocancel__semigroup__add(T_a) % 4.71/4.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2) = c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_a_2) % 4.71/4.81 <=> V_b_2 = V_ca_2 ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__left__imp__eq,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Ocancel__semigroup__add(T_a) % 4.71/4.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) % 4.71/4.81 => V_b = V_c ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__imp__eq,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) % 4.71/4.81 => V_b = V_c ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__right__imp__eq,axiom, % 4.71/4.81 ! [V_c,V_a,V_b,T_a] : % 4.71/4.81 ( class_Groups_Ocancel__semigroup__add(T_a) % 4.71/4.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) % 4.71/4.81 => V_b = V_c ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_one__reorient,axiom, % 4.71/4.81 ! [V_x_2,T_a] : % 4.71/4.81 ( class_Groups_Oone(T_a) % 4.71/4.81 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2 % 4.71/4.81 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__idempotent,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__0__left,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Omonoid__add(T_a) % 4.71/4.81 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__0,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Ocomm__monoid__add(T_a) % 4.71/4.81 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_double__zero__sym,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.81 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) % 4.71/4.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__0__right,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Omonoid__add(T_a) % 4.71/4.81 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add_Ocomm__neutral,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Ocomm__monoid__add(T_a) % 4.71/4.81 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__le__cancel__right,axiom, % 4.71/4.81 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__le__cancel__left,axiom, % 4.71/4.81 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__right__mono,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.81 => 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)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__left__mono,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.81 => 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)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__mono,axiom, % 4.71/4.81 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__le__imp__le__right,axiom, % 4.71/4.81 ! [V_b,V_c,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( 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)) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__le__imp__le__left,axiom, % 4.71/4.81 ! [V_b,V_a,V_c,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( 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)) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__less__cancel__right,axiom, % 4.71/4.81 ! [V_b_2,V_ca_2,V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__less__cancel__left,axiom, % 4.71/4.81 ! [V_b_2,V_a_2,V_ca_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__strict__right__mono,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.81 => 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)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__strict__left__mono,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.81 => 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)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__strict__mono,axiom, % 4.71/4.81 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__less__imp__less__right,axiom, % 4.71/4.81 ! [V_b,V_c,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( 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)) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__less__imp__less__left,axiom, % 4.71/4.81 ! [V_b,V_a,V_c,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 4.71/4.81 => ( 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)) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_mult__1__left,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_mult__1,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Ocomm__monoid__mult(T_a) % 4.71/4.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_mult__1__right,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_mult_Ocomm__neutral,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Ocomm__monoid__mult(T_a) % 4.71/4.81 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__zero,axiom, % 4.71/4.81 ! [T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__eq__0,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => ( c_Groups_Oabs__class_Oabs(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__ge__self,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__le__D1,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__add__abs,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__nonneg__nonneg,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__nonneg__eq__0__iff,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2) % 4.71/4.81 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.81 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.81 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__increasing,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__increasing2,axiom, % 4.71/4.81 ! [V_a,V_b,V_c,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__nonpos__nonpos,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__pos__pos,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__neg__neg,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__comm__monoid__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__less__le__mono,axiom, % 4.71/4.81 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__le__less__mono,axiom, % 4.71/4.81 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__ge__zero,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__le__zero__iff,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__of__nonneg,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.81 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_abs__not__less__zero,axiom, % 4.71/4.81 ! [V_a,T_a] : % 4.71/4.81 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 4.71/4.81 ! [V_m,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 4.71/4.81 ! [V_a,V_m,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 4.71/4.81 ! [V_m,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__scale__eq__noteq,axiom, % 4.71/4.81 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 4.71/4.81 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 4.71/4.81 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.81 => ( ( V_a = V_b % 4.71/4.81 & V_c != V_d ) % 4.71/4.81 => 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)) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_even__less__0__iff,axiom, % 4.71/4.81 ! [V_a_2,T_a] : % 4.71/4.81 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.81 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact__096_B_Bthesis_O_A_I_B_Bm_O_AALL_Az_O_Acmod_Az_A_060_061_Ar_A_N_N_062_Acmod_A_Ipoly_Acs_Az_J_A_060_061_Am_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 4.71/4.81 ~ ! [B_m] : % 4.71/4.81 ~ ! [B_z] : % 4.71/4.81 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) % 4.71/4.81 => 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_cs____),B_z)),B_m) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__refl,axiom, % 4.71/4.81 ! [V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_poly__1,axiom, % 4.71/4.81 ! [V_x,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_poly__add,axiom, % 4.71/4.81 ! [V_x,V_q,V_p,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__0(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__poly__code_I1_J,axiom, % 4.71/4.81 ! [V_q,T_a] : % 4.71/4.81 ( class_Groups_Ocomm__monoid__add(T_a) % 4.71/4.81 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_add__poly__code_I2_J,axiom, % 4.71/4.81 ! [V_p,T_a] : % 4.71/4.81 ( class_Groups_Ocomm__monoid__add(T_a) % 4.71/4.81 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_mult__poly__add__left,axiom, % 4.71/4.81 ! [V_r,V_q,V_p,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__0(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_le__fun__def,axiom, % 4.71/4.81 ! [V_g_2,V_f_2,T_a,T_b] : % 4.71/4.81 ( class_Orderings_Oord(T_b) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 4.71/4.81 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__linear,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.81 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__eq__iff,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( V_x_2 = V_y_2 % 4.71/4.81 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.81 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__eq__refl,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( V_x = V_y % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_le__funD,axiom, % 4.71/4.81 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 4.71/4.81 ( class_Orderings_Oord(T_b) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__antisym__conv,axiom, % 4.71/4.81 ! [V_x_2,V_y_2,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.81 <=> V_x_2 = V_y_2 ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_ord__eq__le__trans,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oord(T_a) % 4.71/4.81 => ( V_a = V_b % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I3_J,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( V_a = V_b % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_ord__le__eq__trans,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oord(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.81 => ( V_b = V_c % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I4_J,axiom, % 4.71/4.81 ! [V_c,V_a,V_b,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 4.71/4.81 => ( V_b = V_c % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__antisym,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 4.71/4.81 => V_x = V_y ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__trans,axiom, % 4.71/4.81 ! [V_z,V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I5_J,axiom, % 4.71/4.81 ! [V_x,V_y,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.81 => V_x = V_y ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I6_J,axiom, % 4.71/4.81 ! [V_z,V_x,V_y,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_le__funE,axiom, % 4.71/4.81 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 4.71/4.81 ( class_Orderings_Oord(T_b) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__le__cases,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__cases,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => ( V_x != V_y % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__asym,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I10_J,axiom, % 4.71/4.81 ! [V_z,V_x,V_y,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__trans,axiom, % 4.71/4.81 ! [V_z,V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I2_J,axiom, % 4.71/4.81 ! [V_c,V_a,V_b,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 4.71/4.81 => ( V_b = V_c % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_ord__less__eq__trans,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oord(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.81 => ( V_b = V_c % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I1_J,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( V_a = V_b % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_ord__eq__less__trans,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oord(T_a) % 4.71/4.81 => ( V_a = V_b % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I9_J,axiom, % 4.71/4.81 ! [V_a,V_b,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__asym_H,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__imp__not__eq2,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => V_y != V_x ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__imp__not__eq,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => V_x != V_y ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__imp__not__less,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__not__sym,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_less__imp__neq,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => V_x != V_y ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__neqE,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( V_x != V_y % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__antisym__conv3,axiom, % 4.71/4.81 ! [V_x_2,V_y_2,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.81 <=> V_x_2 = V_y_2 ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__less__linear,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 | V_x = V_y % 4.71/4.81 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_not__less__iff__gr__or__eq,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.81 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) % 4.71/4.81 | V_x_2 = V_y_2 ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__neq__iff,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( V_x_2 != V_y_2 % 4.71/4.81 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.81 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__irrefl,axiom, % 4.71/4.81 ! [V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 4.71/4.81 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 4.71/4.81 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 4.71/4.81 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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))) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 4.71/4.81 ! [V_rx,V_ly,V_lx,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 4.71/4.81 ! [V_rx,V_ly,V_lx,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 4.71/4.81 ! [V_ry,V_rx,V_lx,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 4.71/4.81 ! [V_ry,V_rx,V_lx,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 4.71/4.81 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 4.71/4.81 ! [V_c,V_b,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 4.71/4.81 ! [V_d,V_c,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 4.71/4.81 ! [V_d,V_c,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => 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)) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 4.71/4.81 ! [V_c,V_a,T_a] : % 4.71/4.81 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.81 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_poly__eq__iff,axiom, % 4.71/4.81 ! [V_q_2,V_pa_2,T_a] : % 4.71/4.81 ( ( class_Int_Oring__char__0(T_a) % 4.71/4.81 & class_Rings_Oidom(T_a) ) % 4.71/4.81 => ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,V_q_2) % 4.71/4.81 <=> V_pa_2 = V_q_2 ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_poly__zero,axiom, % 4.71/4.81 ! [V_pa_2,T_a] : % 4.71/4.81 ( ( class_Int_Oring__char__0(T_a) % 4.71/4.81 & class_Rings_Oidom(T_a) ) % 4.71/4.81 => ( c_Polynomial_Opoly(T_a,V_pa_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) % 4.71/4.81 <=> V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I8_J,axiom, % 4.71/4.81 ! [V_z,V_x,V_y,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__le__less__trans,axiom, % 4.71/4.81 ! [V_z,V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I7_J,axiom, % 4.71/4.81 ! [V_z,V_x,V_y,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__le__trans,axiom, % 4.71/4.81 ! [V_z,V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I11_J,axiom, % 4.71/4.81 ! [V_a,V_b,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 4.71/4.81 => ( V_a != V_b % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__le__neq__trans,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.81 => ( V_a != V_b % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__le__imp__less__or__eq,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 | V_x = V_y ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__antisym__conv2,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.81 <=> V_x_2 = V_y_2 ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__less__imp__le,axiom, % 4.71/4.81 ! [V_y,V_x,T_a] : % 4.71/4.81 ( class_Orderings_Opreorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.81 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_leD,axiom, % 4.71/4.81 ! [V_x,V_y,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 4.71/4.81 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_xt1_I12_J,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( V_a != V_b % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_order__neq__le__trans,axiom, % 4.71/4.81 ! [V_b,V_a,T_a] : % 4.71/4.81 ( class_Orderings_Oorder(T_a) % 4.71/4.81 => ( V_a != V_b % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.81 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 4.71/4.81 % 4.71/4.81 fof(fact_linorder__antisym__conv1,axiom, % 4.71/4.81 ! [V_y_2,V_x_2,T_a] : % 4.71/4.81 ( class_Orderings_Olinorder(T_a) % 4.71/4.81 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.81 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.81 <=> V_x_2 = V_y_2 ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_not__leE,axiom, % 4.71/4.82 ! [V_x,V_y,T_a] : % 4.71/4.82 ( class_Orderings_Olinorder(T_a) % 4.71/4.82 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 4.71/4.82 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_leI,axiom, % 4.71/4.82 ! [V_y,V_x,T_a] : % 4.71/4.82 ( class_Orderings_Olinorder(T_a) % 4.71/4.82 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_order__le__less,axiom, % 4.71/4.82 ! [V_y_2,V_x_2,T_a] : % 4.71/4.82 ( class_Orderings_Oorder(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.82 | V_x_2 = V_y_2 ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__le__not__le,axiom, % 4.71/4.82 ! [V_y_2,V_x_2,T_a] : % 4.71/4.82 ( class_Orderings_Opreorder(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.82 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_order__less__le,axiom, % 4.71/4.82 ! [V_y_2,V_x_2,T_a] : % 4.71/4.82 ( class_Orderings_Oorder(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.82 & V_x_2 != V_y_2 ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_linorder__le__less__linear,axiom, % 4.71/4.82 ! [V_y,V_x,T_a] : % 4.71/4.82 ( class_Orderings_Olinorder(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.82 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_linorder__not__le,axiom, % 4.71/4.82 ! [V_y_2,V_x_2,T_a] : % 4.71/4.82 ( class_Orderings_Olinorder(T_a) % 4.71/4.82 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_linorder__not__less,axiom, % 4.71/4.82 ! [V_y_2,V_x_2,T_a] : % 4.71/4.82 ( class_Orderings_Olinorder(T_a) % 4.71/4.82 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_double__eq__0__iff,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__0__iff,axiom, % 4.71/4.82 ! [V_a_2,V_b_2,T_a] : % 4.71/4.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 4.71/4.82 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2) % 4.71/4.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_crossproduct__eq,axiom, % 4.71/4.82 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] : % 4.71/4.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 4.71/4.82 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_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_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2)) % 4.71/4.82 <=> ( V_w_2 = V_x_2 % 4.71/4.82 | V_y_2 = V_z_2 ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 4.71/4.82 ! [V_b,V_m,V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 4.71/4.82 ! [V_c,V_b,V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_crossproduct__noteq,axiom, % 4.71/4.82 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 4.71/4.82 => ( ( V_a_2 != V_b_2 % 4.71/4.82 & V_ca_2 != V_d_2 ) % 4.71/4.82 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_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_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 4.71/4.82 ! [V_z,V_y,V_x,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_poly__0,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__0(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_poly__mult,axiom, % 4.71/4.82 ! [V_x,V_q,V_p,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__0(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__left_Opos__bounded,axiom, % 4.71/4.82 ! [V_y,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.82 & ! [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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__right_Opos__bounded,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.82 & ! [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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Opos__bounded,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.82 & ! [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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__left_Ononneg__bounded,axiom, % 4.71/4.82 ! [V_y,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.82 & ! [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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__right_Ononneg__bounded,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.82 & ! [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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Ononneg__bounded,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.82 & ! [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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__left_Obounded,axiom, % 4.71/4.82 ! [V_y,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ! [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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__fun__def,axiom, % 4.71/4.82 ! [V_g_2,V_f_2,T_a,T_b] : % 4.71/4.82 ( class_Orderings_Oord(T_b) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 4.71/4.82 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__poly__0__right,axiom, % 4.71/4.82 ! [V_p,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__0(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__poly__0__left,axiom, % 4.71/4.82 ! [V_q,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__0(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_order__root,axiom, % 4.71/4.82 ! [V_a_2,V_pa_2,T_a] : % 4.71/4.82 ( class_Rings_Oidom(T_a) % 4.71/4.82 => ( hAPP(c_Polynomial_Opoly(T_a,V_pa_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 <=> ( V_pa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 4.71/4.82 | c_Polynomial_Oorder(T_a,V_a_2,V_pa_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Obounded,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ! [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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__right_Obounded,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => ? [B_K] : % 4.71/4.82 ! [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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_norm__sgn,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) % 4.71/4.82 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_poly__rec__0,axiom, % 4.71/4.82 ! [T_a,V_z_2,V_f_2,T_b] : % 4.71/4.82 ( class_Groups_Ozero(T_b) % 4.71/4.82 => ( hAPP(hAPP(hAPP(V_f_2,c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z_2) = V_z_2 % 4.71/4.82 => c_Polynomial_Opoly__rec(T_a,T_b,V_z_2,V_f_2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))) = V_z_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_field__le__mult__one__interval,axiom, % 4.71/4.82 ! [V_y,V_x,T_a] : % 4.71/4.82 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 4.71/4.82 => ( ! [B_z] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),B_z) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,B_z,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x),V_y) ) ) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__sgn,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__zero__iff,axiom, % 4.71/4.82 ! [V_x_2,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => ( c_Groups_Osgn__class_Osgn(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__0__0,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__zero,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn0,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_Groups_Osgn__if(T_a) % 4.71/4.82 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__mult,axiom, % 4.71/4.82 ! [V_y,V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__times,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__one,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 4.71/4.82 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__less,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__greater,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__sgn__abs,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => 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 ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__sgn,axiom, % 4.71/4.82 ! [V_k,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_real__sgn__pos,axiom, % 4.71/4.82 ! [V_x] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.82 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__pos,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.82 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__1__pos,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__zeroE,axiom, % 4.71/4.82 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le0,axiom, % 4.71/4.82 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ). % 4.71/4.82 % 4.71/4.82 fof(fact_field__le__epsilon,axiom, % 4.71/4.82 ! [V_y,V_x,T_a] : % 4.71/4.82 ( class_Fields_Olinordered__field(T_a) % 4.71/4.82 => ( ! [B_e] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),B_e) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Groups_Oplus__class_Oplus(T_a,V_y,B_e)) ) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_coeff__1,axiom, % 4.71/4.82 ! [V_n,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.82 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.82 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 4.71/4.82 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.82 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_norm__diff__triangle__ineq,axiom, % 4.71/4.82 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => 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)))) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__neg,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.82 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__diff__split__asm,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,V_P_2] : % 4.71/4.82 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2))) % 4.71/4.82 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2) % 4.71/4.82 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 4.71/4.82 | ? [B_d] : % 4.71/4.82 ( V_a_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) % 4.71/4.82 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__diff__split,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,V_P_2] : % 4.71/4.82 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2))) % 4.71/4.82 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2) % 4.71/4.82 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 4.71/4.82 & ! [B_d] : % 4.71/4.82 ( V_a_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) % 4.71/4.82 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__add__0,axiom, % 4.71/4.82 ! [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) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__poly__code_I1_J,axiom, % 4.71/4.82 ! [V_q,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__0__eq__0,axiom, % 4.71/4.82 ! [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) ). % 4.71/4.82 % 4.71/4.82 fof(fact_zero__less__diff,axiom, % 4.71/4.82 ! [V_ma_2,V_n_2] : % 4.71/4.82 ( 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)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__nat_Odiff__0,axiom, % 4.71/4.82 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__self__eq__0,axiom, % 4.71/4.82 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__less,axiom, % 4.71/4.82 ! [V_m,V_n] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diffs0__imp__equal,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.82 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.82 => V_m = V_n ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__or__eq__imp__le,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 | V_m = V_n ) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__diff__iff,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_ma_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__less__mono,axiom, % 4.71/4.82 ! [V_c,V_b,V_a] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a) % 4.71/4.82 => 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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__neq__implies__less,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => ( V_m != V_n % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__is__0__eq_H,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__imp__le__nat,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__is__0__eq,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2] : % 4.71/4.82 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__eq__less__or__eq,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.82 | V_ma_2 = V_n_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__less__le,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.82 & V_ma_2 != V_n_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__0,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__less__cases,axiom, % 4.71/4.82 ! [V_P_2,V_n_2,V_ma_2] : % 4.71/4.82 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 4.71/4.82 => ( ( V_ma_2 = V_n_2 % 4.71/4.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 4.71/4.82 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 4.71/4.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 4.71/4.82 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__less__mono2,axiom, % 4.71/4.82 ! [V_l,V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l) % 4.71/4.82 => 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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__imp__diff__less,axiom, % 4.71/4.82 ! [V_n,V_k,V_j] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k) % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__not__refl3,axiom, % 4.71/4.82 ! [V_t,V_s] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t) % 4.71/4.82 => V_s != V_t ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__not__refl2,axiom, % 4.71/4.82 ! [V_m,V_n] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m) % 4.71/4.82 => V_m != V_n ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__irrefl__nat,axiom, % 4.71/4.82 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ). % 4.71/4.82 % 4.71/4.82 fof(fact_linorder__neqE__nat,axiom, % 4.71/4.82 ! [V_y,V_x] : % 4.71/4.82 ( V_x != V_y % 4.71/4.82 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__neq__iff,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2] : % 4.71/4.82 ( V_ma_2 != V_n_2 % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.82 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__not__refl,axiom, % 4.71/4.82 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__lessD1,axiom, % 4.71/4.82 ! [V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__add__eq__less,axiom, % 4.71/4.82 ! [V_n,V_m,V_l,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) % 4.71/4.82 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n) % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__less__mono,axiom, % 4.71/4.82 ! [V_l,V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) % 4.71/4.82 => 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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__less__mono1,axiom, % 4.71/4.82 ! [V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_trans__less__add2,axiom, % 4.71/4.82 ! [V_m,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_trans__less__add1,axiom, % 4.71/4.82 ! [V_m,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__diff__inverse,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__add__left__cancel__less,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__diff__conv,axiom, % 4.71/4.82 ! [V_k_2,V_j_2,V_i_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_not__add__less2,axiom, % 4.71/4.82 ! [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) ). % 4.71/4.82 % 4.71/4.82 fof(fact_not__add__less1,axiom, % 4.71/4.82 ! [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) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__def,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_ab__diff__minus,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 4.71/4.82 ! [V_y,V_x,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__ring__1(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__minus__eq__add,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_poly__diff,axiom, % 4.71/4.82 ! [V_x,V_q,V_p,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__ring(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_poly__minus,axiom, % 4.71/4.82 ! [V_x,V_p,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__ring(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__real__def,axiom, % 4.71/4.82 ! [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)) ). % 4.71/4.82 % 4.71/4.82 fof(fact_real__diff__def,axiom, % 4.71/4.82 ! [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)) ). % 4.71/4.82 % 4.71/4.82 fof(fact_expand__poly__eq,axiom, % 4.71/4.82 ! [V_q_2,V_pa_2,T_a] : % 4.71/4.82 ( class_Groups_Ozero(T_a) % 4.71/4.82 => ( V_pa_2 = V_q_2 % 4.71/4.82 <=> ! [B_n] : hAPP(c_Polynomial_Ocoeff(T_a,V_pa_2),B_n) = hAPP(c_Polynomial_Ocoeff(T_a,V_q_2),B_n) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_coeff__minus,axiom, % 4.71/4.82 ! [V_n,V_p,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)),V_n) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_coeff__inject,axiom, % 4.71/4.82 ! [V_y_2,V_x_2,T_a] : % 4.71/4.82 ( class_Groups_Ozero(T_a) % 4.71/4.82 => ( c_Polynomial_Ocoeff(T_a,V_x_2) = c_Polynomial_Ocoeff(T_a,V_y_2) % 4.71/4.82 <=> V_x_2 = V_y_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_coeff__diff,axiom, % 4.71/4.82 ! [V_n,V_q,V_p,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) = c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n),hAPP(c_Polynomial_Ocoeff(T_a,V_q),V_n)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__minus,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__diff__eq,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_equation__minus__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 4.71/4.82 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__equation__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_b_2 % 4.71/4.82 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_a_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__equal__iff__equal,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 4.71/4.82 <=> V_a_2 = V_b_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__eq__diff__eq,axiom, % 4.71/4.82 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 4.71/4.82 => ( V_a_2 = V_b_2 % 4.71/4.82 <=> V_ca_2 = V_d_2 ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_norm__triangle__ineq2,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => 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))) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__refl,axiom, % 4.71/4.82 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__square,axiom, % 4.71/4.82 ! [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)) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__cube,axiom, % 4.71/4.82 ! [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))) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__le__self,axiom, % 4.71/4.82 ! [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) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__le__linear,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_eq__imp__le,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( V_m = V_n % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__le__mono1,axiom, % 4.71/4.82 ! [V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__le__mono2,axiom, % 4.71/4.82 ! [V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__le__mono2,axiom, % 4.71/4.82 ! [V_l,V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__le__mono,axiom, % 4.71/4.82 ! [V_l,V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__diff__cancel,axiom, % 4.71/4.82 ! [V_n,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n) % 4.71/4.82 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__trans,axiom, % 4.71/4.82 ! [V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__antisym,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 4.71/4.82 => V_m = V_n ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__le__mono,axiom, % 4.71/4.82 ! [V_l,V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) % 4.71/4.82 => 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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_eq__diff__iff,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_ma_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2) % 4.71/4.82 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2) % 4.71/4.82 <=> V_ma_2 = V_n_2 ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_Nat_Odiff__diff__eq,axiom, % 4.71/4.82 ! [V_n,V_m,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) % 4.71/4.82 => 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) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__diff__iff,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_ma_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__leE,axiom, % 4.71/4.82 ! [V_n,V_k,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 4.71/4.82 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.82 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__leD1,axiom, % 4.71/4.82 ! [V_n,V_k,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__leD2,axiom, % 4.71/4.82 ! [V_n,V_k,V_m] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__le__mono,axiom, % 4.71/4.82 ! [V_l,V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) % 4.71/4.82 => 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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__add__assoc2,axiom, % 4.71/4.82 ! [V_i,V_j,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__diff__assoc2,axiom, % 4.71/4.82 ! [V_i,V_j,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__add__assoc,axiom, % 4.71/4.82 ! [V_i,V_j,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__imp__diff__is__add,axiom, % 4.71/4.82 ! [V_k_2,V_j_2,V_i_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 4.71/4.82 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_k_2 % 4.71/4.82 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__add__diff__inverse2,axiom, % 4.71/4.82 ! [V_m,V_n] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 4.71/4.82 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__diff__conv2,axiom, % 4.71/4.82 ! [V_i_2,V_j_2,V_k_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_j_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__diff__assoc,axiom, % 4.71/4.82 ! [V_i,V_j,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__add__diff__inverse,axiom, % 4.71/4.82 ! [V_m,V_n] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 4.71/4.82 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__le__mono1,axiom, % 4.71/4.82 ! [V_k,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__add__diff,axiom, % 4.71/4.82 ! [V_m,V_n,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_trans__le__add2,axiom, % 4.71/4.82 ! [V_m,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_trans__le__add1,axiom, % 4.71/4.82 ! [V_m,V_j,V_i] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_nat__add__left__cancel__le,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__diff__conv,axiom, % 4.71/4.82 ! [V_i_2,V_k_2,V_j_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2),V_i_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__diff__right,axiom, % 4.71/4.82 ! [V_i,V_j,V_k] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__iff__add,axiom, % 4.71/4.82 ! [V_n_2,V_ma_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.82 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__Suc__ex__iff,axiom, % 4.71/4.82 ! [V_l_2,V_k_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_l_2) % 4.71/4.82 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__add1,axiom, % 4.71/4.82 ! [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)) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__add2,axiom, % 4.71/4.82 ! [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)) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__0__right,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__self,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_eq__iff__diff__eq__0,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => ( V_a_2 = V_b_2 % 4.71/4.82 <=> c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_right__minus__eq,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 <=> V_a_2 = V_b_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__eq__diff__less__eq,axiom, % 4.71/4.82 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__zero,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__0__equal__iff__equal,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) % 4.71/4.82 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_equal__neg__zero,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.82 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) % 4.71/4.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__equal__0__iff__equal,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__equal__zero,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_a_2 % 4.71/4.82 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__eq__diff__less,axiom, % 4.71/4.82 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__imp__neg__le,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.82 => 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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__le__iff__le,axiom, % 4.71/4.82 ! [V_a_2,V_b_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( 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_a_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__le__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__minus__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__minus__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__less__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__less__iff__less,axiom, % 4.71/4.82 ! [V_a_2,V_b_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( 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_a_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Odiff__right,axiom, % 4.71/4.82 ! [V_b_H,V_b,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__right_Odiff,axiom, % 4.71/4.82 ! [V_y,V_x,V_xa,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Odiff__left,axiom, % 4.71/4.82 ! [V_b,V_a_H,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__left_Odiff,axiom, % 4.71/4.82 ! [V_ya,V_y,V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__add__cancel,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__diff__cancel,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__mult__right,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Rings_Oring(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__mult__left,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Rings_Oring(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Ominus__right,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__right_Ominus,axiom, % 4.71/4.82 ! [V_x,V_xa,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Ominus__left,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__left_Ominus,axiom, % 4.71/4.82 ! [V_y,V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__mult__commute,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Rings_Oring(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__mult__minus,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Rings_Oring(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_square__eq__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Oidom(T_a) % 4.71/4.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2) % 4.71/4.82 <=> ( V_a_2 = V_b_2 % 4.71/4.82 | V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__add__distrib,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__add,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__minus__cancel,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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 ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__add__cancel,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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 ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__eq__if,axiom, % 4.71/4.82 ! [V_n,V_m] : % 4.71/4.82 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 4.71/4.82 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.82 => 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)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__minus__commute,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_norm__minus__commute,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__minus__cancel,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_norm__minus__cancel,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_diff__poly__code_I2_J,axiom, % 4.71/4.82 ! [V_p,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__poly__def,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) % 4.71/4.82 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x) ) % 4.71/4.82 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) % 4.71/4.82 => c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) = V_x ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__poly__code_I1_J,axiom, % 4.71/4.82 ! [T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__minus,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_norm__triangle__ineq3,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.82 => 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))) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__iff__diff__le__0,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__iff__diff__less__0,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__le__self__iff,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__le__0__iff__le,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_le__minus__self__iff,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__0__le__iff__le,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__0__less__iff__less,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__less__0__iff__less,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_neg__less__nonneg,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Olinordered__ab__group__add(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_less__minus__self__iff,axiom, % 4.71/4.82 ! [V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) % 4.71/4.82 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_right__minus,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_eq__neg__iff__add__eq__0,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 4.71/4.82 <=> c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_left__minus,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_ab__left__minus,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Oab__group__add(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_minus__unique,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_add__eq__0__iff,axiom, % 4.71/4.82 ! [V_y_2,V_x_2,T_a] : % 4.71/4.82 ( class_Groups_Ogroup__add(T_a) % 4.71/4.82 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.82 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult__diff__mult,axiom, % 4.71/4.82 ! [V_b,V_a,V_y,V_x,T_a] : % 4.71/4.82 ( class_Rings_Oring(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_mult_Oprod__diff__prod,axiom, % 4.71/4.82 ! [V_b,V_a,V_y,V_x,T_a] : % 4.71/4.82 ( class_RealVector_Oreal__normed__algebra(T_a) % 4.71/4.82 => 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))) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_eq__add__iff2,axiom, % 4.71/4.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Oring(T_a) % 4.71/4.82 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_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) % 4.71/4.82 <=> 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_a_2)),V_e_2),V_d_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_eq__add__iff1,axiom, % 4.71/4.82 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Oring(T_a) % 4.71/4.82 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_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) % 4.71/4.82 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)),V_e_2),V_ca_2) = V_d_2 ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_square__eq__1__iff,axiom, % 4.71/4.82 ! [V_x_2,T_a] : % 4.71/4.82 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 4.71/4.82 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a) % 4.71/4.82 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a) % 4.71/4.82 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_Rings_Ocomm__ring__1(T_a) % 4.71/4.82 => 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) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__triangle__ineq2__sym,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => 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))) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__triangle__ineq2,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => 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))) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__triangle__ineq3,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => 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))) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__le__D2,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__leI,axiom, % 4.71/4.82 ! [V_b,V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) % 4.71/4.82 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__le__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),V_b_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) % 4.71/4.82 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__ge__minus__self,axiom, % 4.71/4.82 ! [V_a,T_a] : % 4.71/4.82 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.82 => 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__less__iff,axiom, % 4.71/4.82 ! [V_b_2,V_a_2,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),V_b_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) % 4.71/4.82 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) ) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_real__le__eq__diff,axiom, % 4.71/4.82 ! [V_y_2,V_x_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 4.71/4.82 <=> 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)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_real__minus__mult__self__le,axiom, % 4.71/4.82 ! [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)) ). % 4.71/4.82 % 4.71/4.82 fof(fact_real__add__eq__0__iff,axiom, % 4.71/4.82 ! [V_y_2,V_x_2] : % 4.71/4.82 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.82 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_real__add__minus__iff,axiom, % 4.71/4.82 ! [V_a_2,V_x_2] : % 4.71/4.82 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.82 <=> V_x_2 = V_a_2 ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_coeff__0,axiom, % 4.71/4.82 ! [V_n,T_a] : % 4.71/4.82 ( class_Groups_Ozero(T_a) % 4.71/4.82 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__le__interval__iff,axiom, % 4.71/4.82 ! [V_ra_2,V_x_2] : % 4.71/4.82 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x_2),V_ra_2) % 4.71/4.82 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_ra_2),V_x_2) % 4.71/4.82 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_ra_2) ) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_abs__minus__add__cancel,axiom, % 4.71/4.82 ! [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))) ). % 4.71/4.82 % 4.71/4.82 fof(fact_coeff__add,axiom, % 4.71/4.82 ! [V_n,V_q,V_p,T_a] : % 4.71/4.82 ( class_Groups_Ocomm__monoid__add(T_a) % 4.71/4.82 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) = c_Groups_Oplus__class_Oplus(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n),hAPP(c_Polynomial_Ocoeff(T_a,V_q),V_n)) ) ). % 4.71/4.82 % 4.71/4.82 fof(fact_sgn__poly__def,axiom, % 4.71/4.82 ! [V_x,T_a] : % 4.71/4.82 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.82 => ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 4.71/4.82 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) % 4.71/4.83 & ( V_x != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 4.71/4.83 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) ) % 4.71/4.83 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) % 4.71/4.83 => 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))) ) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_le__add__iff2,axiom, % 4.71/4.83 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 4.71/4.83 ( class_Rings_Oordered__ring(T_a) % 4.71/4.83 => ( 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_a_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)) % 4.71/4.83 <=> 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_a_2)),V_e_2),V_d_2)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_le__add__iff1,axiom, % 4.71/4.83 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 4.71/4.83 ( class_Rings_Oordered__ring(T_a) % 4.71/4.83 => ( 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_a_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)) % 4.71/4.83 <=> 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_a_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_less__add__iff2,axiom, % 4.71/4.83 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 4.71/4.83 ( class_Rings_Oordered__ring(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_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)) % 4.71/4.83 <=> 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_a_2)),V_e_2),V_d_2)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_less__add__iff1,axiom, % 4.71/4.83 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : % 4.71/4.83 ( class_Rings_Oordered__ring(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_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)) % 4.71/4.83 <=> 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_a_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__squared__diff__one__factored,axiom, % 4.71/4.83 ! [V_x,T_a] : % 4.71/4.83 ( class_Rings_Oring__1(T_a) % 4.71/4.83 => 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))) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__minus__le__zero,axiom, % 4.71/4.83 ! [V_a,T_a] : % 4.71/4.83 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__of__nonpos,axiom, % 4.71/4.83 ! [V_a,T_a] : % 4.71/4.83 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__if,axiom, % 4.71/4.83 ! [V_a,T_a] : % 4.71/4.83 ( class_Groups_Oabs__if(T_a) % 4.71/4.83 => ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) % 4.71/4.83 & ( ~ c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(T_a,V_a) = V_a ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__of__neg,axiom, % 4.71/4.83 ! [V_a,T_a] : % 4.71/4.83 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__triangle__ineq4,axiom, % 4.71/4.83 ! [V_b,V_a,T_a] : % 4.71/4.83 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.83 => 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))) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__diff__triangle__ineq,axiom, % 4.71/4.83 ! [V_d,V_c,V_b,V_a,T_a] : % 4.71/4.83 ( class_Groups_Oordered__ab__group__add__abs(T_a) % 4.71/4.83 => 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)))) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_norm__diff__ineq,axiom, % 4.71/4.83 ! [V_b,V_a,T_a] : % 4.71/4.83 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.83 => 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))) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_norm__triangle__ineq4,axiom, % 4.71/4.83 ! [V_b,V_a,T_a] : % 4.71/4.83 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.83 => 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))) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__0__le__add__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__add__le__0__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_sgn__real__def,axiom, % 4.71/4.83 ! [V_a] : % 4.71/4.83 ( ( V_a = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) % 4.71/4.83 & ( V_a != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.83 => ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) % 4.71/4.83 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__sgn__def,axiom, % 4.71/4.83 ! [V_x] : % 4.71/4.83 ( ( V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) % 4.71/4.83 & ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.83 => ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) % 4.71/4.83 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__0__less__add__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__add__less__0__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__real__def,axiom, % 4.71/4.83 ! [V_a] : % 4.71/4.83 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a) ) % 4.71/4.83 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = V_a ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__abs__def,axiom, % 4.71/4.83 ! [V_r] : % 4.71/4.83 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) ) % 4.71/4.83 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.83 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = V_r ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__sum__triangle__ineq,axiom, % 4.71/4.83 ! [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))))) ). % 4.71/4.83 % 4.71/4.83 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 4.71/4.83 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ). % 4.71/4.83 % 4.71/4.83 fof(fact_le__0__eq,axiom, % 4.71/4.83 ! [V_n_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 4.71/4.83 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__le__cancel1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__le__cancel2,axiom, % 4.71/4.83 ! [V_n_2,V_k_2,V_ma_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_gr0I,axiom, % 4.71/4.83 ! [V_n] : % 4.71/4.83 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__less__mono2,axiom, % 4.71/4.83 ! [V_k,V_j,V_i] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 4.71/4.83 => 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__less__mono1,axiom, % 4.71/4.83 ! [V_k,V_j,V_i] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 4.71/4.83 => 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_gr__implies__not0,axiom, % 4.71/4.83 ! [V_n,V_m] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.83 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__cancel2,axiom, % 4.71/4.83 ! [V_n_2,V_k_2,V_ma_2] : % 4.71/4.83 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2) % 4.71/4.83 <=> ( V_ma_2 = V_n_2 % 4.71/4.83 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__cancel1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 4.71/4.83 <=> ( V_ma_2 = V_n_2 % 4.71/4.83 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__less__cancel2,axiom, % 4.71/4.83 ! [V_n_2,V_k_2,V_ma_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) % 4.71/4.83 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__less__cancel1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) % 4.71/4.83 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__is__0,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2] : % 4.71/4.83 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_less__nat__zero__code,axiom, % 4.71/4.83 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__0__right,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__0__less__mult__iff,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 4.71/4.83 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__0,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_neq0__conv,axiom, % 4.71/4.83 ! [V_n_2] : % 4.71/4.83 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_not__less0,axiom, % 4.71/4.83 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__eq__self__implies__10,axiom, % 4.71/4.83 ! [V_n,V_m] : % 4.71/4.83 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 4.71/4.83 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 4.71/4.83 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_add__eq__self__zero,axiom, % 4.71/4.83 ! [V_n,V_m] : % 4.71/4.83 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m % 4.71/4.83 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_add__is__0,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2] : % 4.71/4.83 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_Nat_Oadd__0__right,axiom, % 4.71/4.83 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 4.71/4.83 % 4.71/4.83 fof(fact_add__gr__0,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 4.71/4.83 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_plus__nat_Oadd__0,axiom, % 4.71/4.83 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ). % 4.71/4.83 % 4.71/4.83 fof(fact_sgn__if,axiom, % 4.71/4.83 ! [V_x,T_a] : % 4.71/4.83 ( class_Groups_Osgn__if(T_a) % 4.71/4.83 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 4.71/4.83 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.83 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 4.71/4.83 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 4.71/4.83 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_sgn__1__neg,axiom, % 4.71/4.83 ! [V_a_2,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__diff__less__iff,axiom, % 4.71/4.83 ! [V_ra_2,V_a_2,V_x_2,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ( 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_a_2)),V_ra_2) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ra_2),V_x_2) % 4.71/4.83 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ra_2)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_complex__mod__triangle__ineq2,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__le__cancel1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_complex__mod__minus__le__complex__mod,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__less__add__iff2,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 4.71/4.83 => ( 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)) % 4.71/4.83 <=> 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__less__add__iff1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 4.71/4.83 => ( 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)) % 4.71/4.83 <=> 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) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__add__commute,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__add__left__commute,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__add__inverse2,axiom, % 4.71/4.83 ! [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 ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__add__inverse,axiom, % 4.71/4.83 ! [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 ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__add__assoc,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__diff__left,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__add__left__cancel,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2) % 4.71/4.83 <=> V_ma_2 = V_n_2 ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__add__right__cancel,axiom, % 4.71/4.83 ! [V_n_2,V_k_2,V_ma_2] : % 4.71/4.83 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_k_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_k_2) % 4.71/4.83 <=> V_ma_2 = V_n_2 ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__cancel,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__cancel2,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__commute,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__mult__distrib,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__assoc,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_diff__mult__distrib2,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__commute,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__1,axiom, % 4.71/4.83 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__1__eq__mult__iff,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2] : % 4.71/4.83 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) % 4.71/4.83 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 4.71/4.83 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__1__right,axiom, % 4.71/4.83 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__eq__1__iff,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2] : % 4.71/4.83 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 4.71/4.83 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 4.71/4.83 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_add__mult__distrib,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_add__mult__distrib2,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_left__add__mult__distrib,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__eq__cancel__disj,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 4.71/4.83 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 | V_ma_2 = V_n_2 ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__eq__add__iff2,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 4.71/4.83 => ( 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) % 4.71/4.83 <=> 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) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__diff__add__eq2,axiom, % 4.71/4.83 ! [V_n,V_m,V_u,V_j,V_i] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__le__add__iff2,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 4.71/4.83 => ( 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)) % 4.71/4.83 <=> 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__eq__add__iff1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 4.71/4.83 => ( 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) % 4.71/4.83 <=> 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 ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__diff__add__eq1,axiom, % 4.71/4.83 ! [V_n,V_m,V_u,V_i,V_j] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__le__add__iff1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 4.71/4.83 => ( 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)) % 4.71/4.83 <=> 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) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_complex__diff__def,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__eq__cancel1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) % 4.71/4.83 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) % 4.71/4.83 <=> V_ma_2 = V_n_2 ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__mult__less__cancel1,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__add__one,axiom, % 4.71/4.83 ! [V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__add__one,axiom, % 4.71/4.83 ! [V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_termination__basic__simps_I3_J,axiom, % 4.71/4.83 ! [V_z,V_y,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__zero,axiom, % 4.71/4.83 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zero__le__natfloor,axiom, % 4.71/4.83 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__mono,axiom, % 4.71/4.83 ! [V_y,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__one,axiom, % 4.71/4.83 c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__zero,axiom, % 4.71/4.83 c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zero__le__natceiling,axiom, % 4.71/4.83 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__mono,axiom, % 4.71/4.83 ! [V_y,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__one,axiom, % 4.71/4.83 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__neg,axiom, % 4.71/4.83 ! [V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.83 => c_RComplete_Onatfloor(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__neg,axiom, % 4.71/4.83 ! [V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.83 => c_RComplete_Onatceiling(V_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_le__natfloor__eq__one,axiom, % 4.71/4.83 ! [V_x_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_x_2)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__le__eq__one,axiom, % 4.71/4.83 ! [V_x_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_le__mult__natfloor,axiom, % 4.71/4.83 ! [V_b,V_a] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b) % 4.71/4.83 => 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))) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_termination__basic__simps_I2_J,axiom, % 4.71/4.83 ! [V_y,V_z,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z) % 4.71/4.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_termination__basic__simps_I1_J,axiom, % 4.71/4.83 ! [V_z,V_y,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 4.71/4.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_termination__basic__simps_I5_J,axiom, % 4.71/4.83 ! [V_y,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_termination__basic__simps_I4_J,axiom, % 4.71/4.83 ! [V_y,V_z,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__eq,axiom, % 4.71/4.83 ! [V_x,V_n] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x) % 4.71/4.83 => ( 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))) % 4.71/4.83 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_Limits_Ominus__diff__minus,axiom, % 4.71/4.83 ! [V_b,V_a,T_a] : % 4.71/4.83 ( class_Groups_Oab__group__add(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_Deriv_Oadd__diff__add,axiom, % 4.71/4.83 ! [V_d,V_b,V_c,V_a,T_a] : % 4.71/4.83 ( class_Groups_Oab__group__add(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__ge__zero,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__real__of__nat,axiom, % 4.71/4.83 ! [V_n] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__real__of__nat,axiom, % 4.71/4.83 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__inject,axiom, % 4.71/4.83 ! [V_ma_2,V_n_2] : % 4.71/4.83 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_RealDef_Oreal(tc_Nat_Onat,V_ma_2) % 4.71/4.83 <=> V_n_2 = V_ma_2 ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__real__of__nat__cancel,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__zero,axiom, % 4.71/4.83 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__zero__iff,axiom, % 4.71/4.83 ! [V_n_2] : % 4.71/4.83 ( c_RealDef_Oreal(tc_Nat_Onat,V_n_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.83 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_not__real__of__nat__less__zero,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__less__iff,axiom, % 4.71/4.83 ! [V_ma_2,V_n_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__le__iff,axiom, % 4.71/4.83 ! [V_ma_2,V_n_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__mult,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__add,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__1,axiom, % 4.71/4.83 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__natceiling__ge,axiom, % 4.71/4.83 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__le__zero__cancel__iff,axiom, % 4.71/4.83 ! [V_n_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__diff,axiom, % 4.71/4.83 ! [V_m,V_n] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__natfloor__le,axiom, % 4.71/4.83 ! [V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_le__natfloor,axiom, % 4.71/4.83 ! [V_a,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__le,axiom, % 4.71/4.83 ! [V_a,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom, % 4.71/4.83 ! [V_n_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__less__real__le,axiom, % 4.71/4.83 ! [V_ma_2,V_n_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 4.71/4.83 <=> 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__le__real__less,axiom, % 4.71/4.83 ! [V_ma_2,V_n_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) % 4.71/4.83 <=> 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))) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_le__natfloor__eq,axiom, % 4.71/4.83 ! [V_a_2,V_x_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_a_2,c_RComplete_Onatfloor(V_x_2)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2),V_x_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__le__eq,axiom, % 4.71/4.83 ! [V_a_2,V_x_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),V_a_2) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__natfloor__add__one__gt,axiom, % 4.71/4.83 ! [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))) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__subtract,axiom, % 4.71/4.83 ! [V_x,V_a] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__natfloor__gt__diff__one,axiom, % 4.71/4.83 ! [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))) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__subtract,axiom, % 4.71/4.83 ! [V_x,V_a] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_less__natfloor,axiom, % 4.71/4.83 ! [V_n,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n)) % 4.71/4.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__add,axiom, % 4.71/4.83 ! [V_a,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_ge__natfloor__plus__one__imp__gt,axiom, % 4.71/4.83 ! [V_n,V_z] : % 4.71/4.83 ( 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) % 4.71/4.83 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__eq,axiom, % 4.71/4.83 ! [V_x,V_n] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x) % 4.71/4.83 => ( 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))) % 4.71/4.83 => c_RComplete_Onatfloor(V_x) = V_n ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natceiling__add,axiom, % 4.71/4.83 ! [V_a,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_reals__Archimedean6,axiom, % 4.71/4.83 ! [V_r] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r) % 4.71/4.83 => ? [B_n] : % 4.71/4.83 ( 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) % 4.71/4.83 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,B_n)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_compl__le__compl__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2,T_a] : % 4.71/4.83 ( class_Lattices_Oboolean__algebra(T_a) % 4.71/4.83 => ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_compl__mono,axiom, % 4.71/4.83 ! [V_y,V_x,T_a] : % 4.71/4.83 ( class_Lattices_Oboolean__algebra(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 4.71/4.83 => 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_times_Oidem,axiom, % 4.71/4.83 ! [V_a,T_a] : % 4.71/4.83 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 4.71/4.83 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__idem,axiom, % 4.71/4.83 ! [V_x,T_a] : % 4.71/4.83 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 4.71/4.83 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_mult__left__idem,axiom, % 4.71/4.83 ! [V_b,V_a,T_a] : % 4.71/4.83 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_minus__apply,axiom, % 4.71/4.83 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : % 4.71/4.83 ( class_Groups_Ominus(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_compl__eq__compl__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2,T_a] : % 4.71/4.83 ( class_Lattices_Oboolean__algebra(T_a) % 4.71/4.83 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) % 4.71/4.83 <=> V_x_2 = V_y_2 ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_uminus__apply,axiom, % 4.71/4.83 ! [V_x_2,V_A_2,T_b,T_a] : % 4.71/4.83 ( class_Groups_Ouminus(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_double__compl,axiom, % 4.71/4.83 ! [V_x,T_a] : % 4.71/4.83 ( class_Lattices_Oboolean__algebra(T_a) % 4.71/4.83 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_lemma__interval,axiom, % 4.71/4.83 ! [V_b,V_x,V_a] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b) % 4.71/4.83 => ? [B_d] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d) % 4.71/4.83 & ! [B_y] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,B_y)),B_d) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_a,B_y) % 4.71/4.83 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_y,V_b) ) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_ex__least__nat__less,axiom, % 4.71/4.83 ! [V_n_2,V_P_2] : % 4.71/4.83 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 4.71/4.83 => ( hBOOL(hAPP(V_P_2,V_n_2)) % 4.71/4.83 => ? [B_k] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_n_2) % 4.71/4.83 & ! [B_i] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,B_k) % 4.71/4.83 => ~ hBOOL(hAPP(V_P_2,B_i)) ) % 4.71/4.83 & hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_k,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_less__poly__def,axiom, % 4.71/4.83 ! [V_y_2,V_x_2,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) % 4.71/4.83 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_not__pos__poly__0,axiom, % 4.71/4.83 ! [T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_pos__poly__add,axiom, % 4.71/4.83 ! [V_q,V_p,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ( c_Polynomial_Opos__poly(T_a,V_p) % 4.71/4.83 => ( c_Polynomial_Opos__poly(T_a,V_q) % 4.71/4.83 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_pos__poly__mult,axiom, % 4.71/4.83 ! [V_q,V_p,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ( c_Polynomial_Opos__poly(T_a,V_p) % 4.71/4.83 => ( c_Polynomial_Opos__poly(T_a,V_q) % 4.71/4.83 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_less__eq__poly__def,axiom, % 4.71/4.83 ! [V_y_2,V_x_2,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) % 4.71/4.83 <=> ( V_x_2 = V_y_2 % 4.71/4.83 | c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_pos__poly__total,axiom, % 4.71/4.83 ! [V_p,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 4.71/4.83 | c_Polynomial_Opos__poly(T_a,V_p) % 4.71/4.83 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_lemma__interval__lt,axiom, % 4.71/4.83 ! [V_b,V_x,V_a] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b) % 4.71/4.83 => ? [B_d] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d) % 4.71/4.83 & ! [B_y] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,B_y)),B_d) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,B_y) % 4.71/4.83 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,V_b) ) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_lemmaCauchy,axiom, % 4.71/4.83 ! [V_X_2,V_M_2,T_a,T_b] : % 4.71/4.83 ( ( class_RealVector_Oreal__normed__vector(T_b) % 4.71/4.83 & class_Orderings_Oord(T_a) ) % 4.71/4.83 => ( ! [B_n] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) % 4.71/4.83 => 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)) ) % 4.71/4.83 => ! [B_n] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) % 4.71/4.83 => 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)))) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_reals__Archimedean3,axiom, % 4.71/4.83 ! [V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => ! [B_y] : % 4.71/4.83 ? [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B_n)),V_x)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_decseq__def,axiom, % 4.71/4.83 ! [V_X_2,T_a] : % 4.71/4.83 ( class_Orderings_Oorder(T_a) % 4.71/4.83 => ( c_SEQ_Odecseq(T_a,V_X_2) % 4.71/4.83 <=> ! [B_m,B_n] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom, % 4.71/4.83 ! [V_n,V_x] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_Bseq__def,axiom, % 4.71/4.83 ! [V_X_2,T_a] : % 4.71/4.83 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.83 => ( c_SEQ_OBseq(T_a,V_X_2) % 4.71/4.83 <=> ? [B_K] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.83 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),B_K) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_norm__power__ineq,axiom, % 4.71/4.83 ! [V_n,V_x,T_a] : % 4.71/4.83 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 4.71/4.83 ! [V_x,T_a] : % 4.71/4.83 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 4.71/4.83 ! [V_q,V_p,V_x,T_a] : % 4.71/4.83 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_norm__power,axiom, % 4.71/4.83 ! [V_n,V_x,T_a] : % 4.71/4.83 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_poly__power,axiom, % 4.71/4.83 ! [V_x,V_n,V_p,T_a] : % 4.71/4.83 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 4.71/4.83 ! [V_q,V_y,V_x,T_a] : % 4.71/4.83 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 4.71/4.83 ! [V_x,T_a] : % 4.71/4.83 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.83 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 4.71/4.83 ! [V_q,V_p,V_x,T_a] : % 4.71/4.83 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_realpow__minus__mult,axiom, % 4.71/4.83 ! [V_x,V_n,T_a] : % 4.71/4.83 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.83 => 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) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_realpow__num__eq__if,axiom, % 4.71/4.83 ! [V_m,V_n,T_a] : % 4.71/4.83 ( class_Power_Opower(T_a) % 4.71/4.83 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 4.71/4.83 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 => 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)))) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__strict__mono,axiom, % 4.71/4.83 ! [V_n,V_b,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.83 => 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)) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_one__less__power,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.83 => 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)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__zero__less__power__iff,axiom, % 4.71/4.83 ! [V_n_2,V_x_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) % 4.71/4.83 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_nat__power__less__imp__less,axiom, % 4.71/4.83 ! [V_n,V_m,V_i] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i) % 4.71/4.83 => ( 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)) % 4.71/4.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zero__less__zpower__abs__iff,axiom, % 4.71/4.83 ! [V_n_2,V_x_2] : % 4.71/4.83 ( 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)) % 4.71/4.83 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.83 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zpower__zpower,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zpower__zadd__distrib,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__real__of__nat,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_real__of__nat__power,axiom, % 4.71/4.83 ! [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) ). % 4.71/4.83 % 4.71/4.83 fof(fact_natfloor__power,axiom, % 4.71/4.83 ! [V_n,V_x] : % 4.71/4.83 ( V_x = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__eq__if,axiom, % 4.71/4.83 ! [V_p,V_m] : % 4.71/4.83 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 4.71/4.83 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 => 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)))) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_field__power__not__zero,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 4.71/4.83 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.83 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__mult__distrib,axiom, % 4.71/4.83 ! [V_n,V_b,V_a,T_a] : % 4.71/4.83 ( class_Groups_Ocomm__monoid__mult(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__commutes,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__one,axiom, % 4.71/4.83 ! [V_n,T_a] : % 4.71/4.83 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__mult,axiom, % 4.71/4.83 ! [V_n,V_m,V_a,T_a] : % 4.71/4.83 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__abs,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__one__right,axiom, % 4.71/4.83 ! [V_a,T_a] : % 4.71/4.83 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.83 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__mono,axiom, % 4.71/4.83 ! [V_n,V_b,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => 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)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zero__le__power,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zero__less__power,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_one__le__power,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => 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)) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__eq__0__iff,axiom, % 4.71/4.83 ! [V_n_2,V_a_2,T_a] : % 4.71/4.83 ( ( class_Power_Opower(T_a) % 4.71/4.83 & class_Rings_Omult__zero(T_a) % 4.71/4.83 & class_Rings_Ono__zero__divisors(T_a) % 4.71/4.83 & class_Rings_Ozero__neq__one(T_a) ) % 4.71/4.83 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.83 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.83 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__inject__exp,axiom, % 4.71/4.83 ! [V_n_2,V_ma_2,V_a_2,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2) % 4.71/4.83 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_ma_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) % 4.71/4.83 <=> V_ma_2 = V_n_2 ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__0,axiom, % 4.71/4.83 ! [V_a,T_a] : % 4.71/4.83 ( class_Power_Opower(T_a) % 4.71/4.83 => 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) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__add,axiom, % 4.71/4.83 ! [V_n,V_m,V_a,T_a] : % 4.71/4.83 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_abs__power__minus,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__less__imp__less__base,axiom, % 4.71/4.83 ! [V_b,V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( 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)) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.83 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__less__power__Suc,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => 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))) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__gt1__lemma,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => 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))) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__0__left,axiom, % 4.71/4.83 ! [V_n,T_a] : % 4.71/4.83 ( ( class_Power_Opower(T_a) % 4.71/4.83 & class_Rings_Osemiring__0(T_a) ) % 4.71/4.83 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 => 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) ) % 4.71/4.83 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.83 => 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) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zero__le__power__abs,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__idom(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__minus,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Oring__1(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__strict__increasing,axiom, % 4.71/4.83 ! [V_a,V_N,V_n,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => 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)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__less__imp__less__exp,axiom, % 4.71/4.83 ! [V_n,V_m,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => ( 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)) % 4.71/4.83 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__strict__increasing__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2,V_b_2,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) % 4.71/4.83 => ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__increasing,axiom, % 4.71/4.83 ! [V_a,V_N,V_n,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => 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)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__Suc__less,axiom, % 4.71/4.83 ! [V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.83 => 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)) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__strict__decreasing,axiom, % 4.71/4.83 ! [V_a,V_N,V_n,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.83 => 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)) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__eq__imp__eq__base,axiom, % 4.71/4.83 ! [V_b,V_n,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( 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) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.83 => V_a = V_b ) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__decreasing,axiom, % 4.71/4.83 ! [V_a,V_N,V_n,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.83 => 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)) ) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__increasing__iff,axiom, % 4.71/4.83 ! [V_y_2,V_x_2,V_b_2,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) % 4.71/4.83 => ( 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)) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__le__imp__le__exp,axiom, % 4.71/4.83 ! [V_n,V_m,V_a,T_a] : % 4.71/4.83 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.83 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.83 => ( 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)) % 4.71/4.83 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_Bseq__iff2,axiom, % 4.71/4.83 ! [V_X_2,T_a] : % 4.71/4.83 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.83 => ( c_SEQ_OBseq(T_a,V_X_2) % 4.71/4.83 <=> ? [B_k] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_k) % 4.71/4.83 & ? [B_x] : % 4.71/4.83 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(V_X_2,B_n),c_Groups_Ouminus__class_Ouminus(T_a,B_x))),B_k) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_Bseq__iff3,axiom, % 4.71/4.83 ! [V_X_2,T_a] : % 4.71/4.83 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.83 => ( c_SEQ_OBseq(T_a,V_X_2) % 4.71/4.83 <=> ? [B_k] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_k) % 4.71/4.83 & ? [B_N] : % 4.71/4.83 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(V_X_2,B_n),c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_X_2,B_N)))),B_k) ) ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_power__power__power,axiom, % 4.71/4.83 ! [T_a] : % 4.71/4.83 ( class_Power_Opower(T_a) % 4.71/4.83 => 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)) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zero__le__zpower__abs,axiom, % 4.71/4.83 ! [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)) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zle__diff1__eq,axiom, % 4.71/4.83 ! [V_z_2,V_w_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_int__one__le__iff__zero__less,axiom, % 4.71/4.83 ! [V_z_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zless__le,axiom, % 4.71/4.83 ! [V_w_2,V_z_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2) % 4.71/4.83 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2) % 4.71/4.83 & V_z_2 != V_w_2 ) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_zle__add1__eq__le,axiom, % 4.71/4.83 ! [V_z_2,V_w_2] : % 4.71/4.83 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 4.71/4.83 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,V_z_2) ) ). % 4.71/4.83 % 4.71/4.83 fof(fact_add1__zle__eq,axiom, % 4.71/4.83 ! [V_z_2,V_w_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_le__imp__0__less,axiom, % 4.71/4.84 ! [V_z] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) % 4.71/4.84 => 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)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zless__imp__add1__zle,axiom, % 4.71/4.84 ! [V_z,V_w] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z) % 4.71/4.84 => 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) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__zless__mono,axiom, % 4.71/4.84 ! [V_z,V_z_H,V_w,V_w_H] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z) % 4.71/4.84 => 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)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_odd__nonzero,axiom, % 4.71/4.84 ! [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) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__0,axiom, % 4.71/4.84 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__0__right,axiom, % 4.71/4.84 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 4.71/4.84 % 4.71/4.84 fof(fact_int__0__neq__1,axiom, % 4.71/4.84 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zmult__1,axiom, % 4.71/4.84 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 4.71/4.84 % 4.71/4.84 fof(fact_zmult__1__right,axiom, % 4.71/4.84 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 4.71/4.84 % 4.71/4.84 fof(fact_zmult__commute,axiom, % 4.71/4.84 ! [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) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zmult__assoc,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_abs__zmult__eq__1,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( 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) % 4.71/4.84 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__zmult__distrib,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__zmult__distrib2,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zless__add1__eq,axiom, % 4.71/4.84 ! [V_z_2,V_w_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 4.71/4.84 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) % 4.71/4.84 | V_w_2 = V_z_2 ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__strict__right__mono,axiom, % 4.71/4.84 ! [V_k,V_j,V_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) % 4.71/4.84 => 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)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zless__linear,axiom, % 4.71/4.84 ! [V_y,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y) % 4.71/4.84 | V_x = V_y % 4.71/4.84 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_int__0__less__1,axiom, % 4.71/4.84 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_pos__zmult__eq__1__iff,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2) % 4.71/4.84 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 4.71/4.84 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 4.71/4.84 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zmult__zless__mono2,axiom, % 4.71/4.84 ! [V_k,V_j,V_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k) % 4.71/4.84 => 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)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_odd__less__0,axiom, % 4.71/4.84 ! [V_z_2] : % 4.71/4.84 ( 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)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zabs__less__one__iff,axiom, % 4.71/4.84 ! [V_z_2] : % 4.71/4.84 ( 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)) % 4.71/4.84 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiff__zmult__distrib,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zmult__zminus,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiff__zmult__distrib2,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zminus__0,axiom, % 4.71/4.84 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zsgn__def,axiom, % 4.71/4.84 ! [V_i] : % 4.71/4.84 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.84 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 4.71/4.84 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.84 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i) % 4.71/4.84 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 4.71/4.84 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i) % 4.71/4.84 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__bin__lemma,axiom, % 4.71/4.84 ! [V_l_2,V_k_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__zminus__inverse2,axiom, % 4.71/4.84 ! [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) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zabs__def,axiom, % 4.71/4.84 ! [V_i] : % 4.71/4.84 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i) ) % 4.71/4.84 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = V_i ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power_Opower_Opower__0,axiom, % 4.71/4.84 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 4.71/4.84 % 4.71/4.84 fof(fact_decr__lemma,axiom, % 4.71/4.84 ! [V_z,V_x,V_d] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d) % 4.71/4.84 => 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) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_incr__lemma,axiom, % 4.71/4.84 ! [V_x,V_z,V_d] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d) % 4.71/4.84 => 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))) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zminus__zadd__distrib,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__int__def,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__int__def__symmetric,axiom, % 4.71/4.84 ! [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) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zminus__zminus,axiom, % 4.71/4.84 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__assoc,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__left__commute,axiom, % 4.71/4.84 ! [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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__commute,axiom, % 4.71/4.84 ! [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) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zle__antisym,axiom, % 4.71/4.84 ! [V_w,V_z] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) % 4.71/4.84 => V_z = V_w ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zle__trans,axiom, % 4.71/4.84 ! [V_k,V_j,V_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zle__linear,axiom, % 4.71/4.84 ! [V_w,V_z] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) % 4.71/4.84 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zle__refl,axiom, % 4.71/4.84 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zadd__left__mono,axiom, % 4.71/4.84 ! [V_k,V_j,V_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) % 4.71/4.84 => 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)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_self__quotient__aux1,axiom, % 4.71/4.84 ! [V_q,V_r,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 4.71/4.84 => ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_self__quotient__aux2,axiom, % 4.71/4.84 ! [V_q,V_r,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 4.71/4.84 => ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_q__pos__lemma,axiom, % 4.71/4.84 ! [V_r_H,V_q_H,V_b_H] : % 4.71/4.84 ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_q__neg__lemma,axiom, % 4.71/4.84 ! [V_r_H,V_q_H,V_b_H] : % 4.71/4.84 ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_unique__quotient__lemma,axiom, % 4.71/4.84 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 4.71/4.84 ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__mono2__lemma,axiom, % 4.71/4.84 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 4.71/4.84 ( 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) % 4.71/4.84 => ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_unique__quotient__lemma__neg,axiom, % 4.71/4.84 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 4.71/4.84 ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__mono2__neg__lemma,axiom, % 4.71/4.84 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 4.71/4.84 ( 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) % 4.71/4.84 => ( 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)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 4.71/4.84 ! [V_n,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 4.71/4.84 => 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)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zero__less__power__nat__eq,axiom, % 4.71/4.84 ! [V_n_2,V_x_2] : % 4.71/4.84 ( 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)) % 4.71/4.84 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 4.71/4.84 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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 4.71/4.84 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)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 4.71/4.84 ! [V_y,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 4.71/4.84 => 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)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 4.71/4.84 ! [V_y,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 4.71/4.84 => 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)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_tsub__def,axiom, % 4.71/4.84 ! [V_x,V_y] : % 4.71/4.84 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 4.71/4.84 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) % 4.71/4.84 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 4.71/4.84 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_BseqI,axiom, % 4.71/4.84 ! [V_X_2,V_K_2,T_a] : % 4.71/4.84 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_K_2) % 4.71/4.84 => ( ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),V_K_2) % 4.71/4.84 => c_SEQ_OBseq(T_a,V_X_2) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 4.71/4.84 ! [V_y,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 4.71/4.84 => 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)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_tsub__eq,axiom, % 4.71/4.84 ! [V_x,V_y] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 4.71/4.84 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_BseqD,axiom, % 4.71/4.84 ! [V_X_2,T_a] : % 4.71/4.84 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.84 => ( c_SEQ_OBseq(T_a,V_X_2) % 4.71/4.84 => ? [B_K] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.84 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),B_K) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_decr__mult__lemma,axiom, % 4.71/4.84 ! [V_k_2,V_P_2,V_d_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d_2) % 4.71/4.84 => ( ! [B_x] : % 4.71/4.84 ( hBOOL(hAPP(V_P_2,B_x)) % 4.71/4.84 => hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,B_x,V_d_2))) ) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) % 4.71/4.84 => ! [B_x] : % 4.71/4.84 ( hBOOL(hAPP(V_P_2,B_x)) % 4.71/4.84 => hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_incr__mult__lemma,axiom, % 4.71/4.84 ! [V_k_2,V_P_2,V_d_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d_2) % 4.71/4.84 => ( ! [B_x] : % 4.71/4.84 ( hBOOL(hAPP(V_P_2,B_x)) % 4.71/4.84 => hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B_x,V_d_2))) ) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) % 4.71/4.84 => ! [B_x] : % 4.71/4.84 ( hBOOL(hAPP(V_P_2,B_x)) % 4.71/4.84 => hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_realpow__pos__nth__unique,axiom, % 4.71/4.84 ! [V_a,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 4.71/4.84 => ? [B_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_x) % 4.71/4.84 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_x),V_n) = V_a % 4.71/4.84 & ! [B_y] : % 4.71/4.84 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_y) % 4.71/4.84 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_y),V_n) = V_a ) % 4.71/4.84 => B_y = B_x ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_realpow__pos__nth,axiom, % 4.71/4.84 ! [V_a,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 4.71/4.84 => ? [B_r] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r) % 4.71/4.84 & hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_r),V_n) = V_a ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__realpow,axiom, % 4.71/4.84 ! [V_n,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_Transcendental_Oln(V_x)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__one,axiom, % 4.71/4.84 c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__less__self,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),V_x) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__inj__iff,axiom, % 4.71/4.84 ! [V_y_2,V_x_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) % 4.71/4.84 => ( c_Transcendental_Oln(V_x_2) = c_Transcendental_Oln(V_y_2) % 4.71/4.84 <=> V_x_2 = V_y_2 ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__less__cancel__iff,axiom, % 4.71/4.84 ! [V_y_2,V_x_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x_2),c_Transcendental_Oln(V_y_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__le__cancel__iff,axiom, % 4.71/4.84 ! [V_y_2,V_x_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(V_x_2),c_Transcendental_Oln(V_y_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__ge__zero,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__gt__zero,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__gt__zero__iff,axiom, % 4.71/4.84 ! [V_x_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__eq__zero__iff,axiom, % 4.71/4.84 ! [V_x_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.84 => ( c_Transcendental_Oln(V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 4.71/4.84 <=> V_x_2 = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__less__zero__iff,axiom, % 4.71/4.84 ! [V_x_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__less__zero,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__gt__zero__imp__gt__one,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__ge__zero__iff,axiom, % 4.71/4.84 ! [V_x_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__ge__zero__imp__ge__one,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__mult,axiom, % 4.71/4.84 ! [V_y,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) % 4.71/4.84 => c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_ln__add__one__self__le__self,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)),V_x) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_incseq__def,axiom, % 4.71/4.84 ! [V_X_2,T_a] : % 4.71/4.84 ( class_Orderings_Oorder(T_a) % 4.71/4.84 => ( c_SEQ_Oincseq(T_a,V_X_2) % 4.71/4.84 <=> ! [B_m,B_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_int__val__lemma,axiom, % 4.71/4.84 ! [V_k_2,V_f_2,V_n_2] : % 4.71/4.84 ( ! [B_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_i,V_n_2) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(V_f_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_i,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(V_f_2,B_i))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,hAPP(V_f_2,V_n_2)) % 4.71/4.84 => ? [B_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,V_n_2) % 4.71/4.84 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat0__intermed__int__val,axiom, % 4.71/4.84 ! [V_k_2,V_f_2,V_n_2] : % 4.71/4.84 ( ! [B_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_i,V_n_2) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(V_f_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_i,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(V_f_2,B_i))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,hAPP(V_f_2,V_n_2)) % 4.71/4.84 => ? [B_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,V_n_2) % 4.71/4.84 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_BseqI2_H,axiom, % 4.71/4.84 ! [V_K_2,V_X_2,V_N_2,T_a] : % 4.71/4.84 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.84 => ( ! [B_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_N_2,B_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),V_K_2) ) % 4.71/4.84 => c_SEQ_OBseq(T_a,V_X_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_lemma__NBseq__def,axiom, % 4.71/4.84 ! [V_X_2,T_b] : % 4.71/4.84 ( class_RealVector_Oreal__normed__vector(T_b) % 4.71/4.84 => ( ? [B_K] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.84 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),B_K) ) % 4.71/4.84 <=> ? [B_N] : % 4.71/4.84 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_lemma__NBseq__def2,axiom, % 4.71/4.84 ! [V_X_2,T_b] : % 4.71/4.84 ( class_RealVector_Oreal__normed__vector(T_b) % 4.71/4.84 => ( ? [B_K] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 4.71/4.84 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),B_K) ) % 4.71/4.84 <=> ? [B_N] : % 4.71/4.84 ! [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_lessI,axiom, % 4.71/4.84 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__mono,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zero__less__Suc,axiom, % 4.71/4.84 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat__lt__two__imp__zero__or__one,axiom, % 4.71/4.84 ! [V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 4.71/4.84 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 | V_x = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__iff__Suc__add,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.84 <=> ? [B_k] : V_n_2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__add__Suc2,axiom, % 4.71/4.84 ! [V_m,V_i] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_i))) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__add__Suc1,axiom, % 4.71/4.84 ! [V_m,V_i] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_m))) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__le__lessD,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_le__less__Suc__eq,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) % 4.71/4.84 <=> V_n_2 = V_ma_2 ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__leI,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_le__imp__less__Suc,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__le__eq,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),V_n_2) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__Suc__eq__le,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__eq__Suc__le,axiom, % 4.71/4.84 ! [V_ma_2,V_n_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_One__nat__def,axiom, % 4.71/4.84 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__less__Suc,axiom, % 4.71/4.84 ! [V_n,V_m] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),c_Nat_OSuc(V_m)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_mult__Suc__right,axiom, % 4.71/4.84 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_mult__Suc,axiom, % 4.71/4.84 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_m)),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__mult__le__cancel1,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_n_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_one__is__add,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.84 <=> ( ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 4.71/4.84 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 4.71/4.84 | ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_add__is__1,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 4.71/4.84 <=> ( ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 4.71/4.84 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 4.71/4.84 | ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__Suc__1,axiom, % 4.71/4.84 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__Suc__eq__diff__pred,axiom, % 4.71/4.84 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__diff__diff,axiom, % 4.71/4.84 ! [V_k,V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n),c_Nat_OSuc(V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_k) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__Suc__Suc,axiom, % 4.71/4.84 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ). % 4.71/4.84 % 4.71/4.84 fof(fact_add__Suc__right,axiom, % 4.71/4.84 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_add__Suc,axiom, % 4.71/4.84 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_add__Suc__shift,axiom, % 4.71/4.84 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__n__not__le__n,axiom, % 4.71/4.84 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) ). % 4.71/4.84 % 4.71/4.84 fof(fact_not__less__eq__eq,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_le__Suc__eq,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 4.71/4.84 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.84 | V_ma_2 = c_Nat_OSuc(V_n_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__le__mono,axiom, % 4.71/4.84 ! [V_ma_2,V_n_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),c_Nat_OSuc(V_ma_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_le__SucI,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_le__SucE,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) % 4.71/4.84 => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => V_m = c_Nat_OSuc(V_n) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__leD,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__eq__plus1,axiom, % 4.71/4.84 ! [V_n] : c_Nat_OSuc(V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__eq__plus1__left,axiom, % 4.71/4.84 ! [V_n] : c_Nat_OSuc(V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__diff__le,axiom, % 4.71/4.84 ! [V_m,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 4.71/4.84 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__inject,axiom, % 4.71/4.84 ! [V_y,V_x] : % 4.71/4.84 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y) % 4.71/4.84 => V_x = V_y ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat_Oinject,axiom, % 4.71/4.84 ! [V_nat_H_2,V_nat_2] : % 4.71/4.84 ( c_Nat_OSuc(V_nat_2) = c_Nat_OSuc(V_nat_H_2) % 4.71/4.84 <=> V_nat_2 = V_nat_H_2 ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__n__not__n,axiom, % 4.71/4.84 ! [V_n] : c_Nat_OSuc(V_n) != V_n ). % 4.71/4.84 % 4.71/4.84 fof(fact_n__not__Suc__n,axiom, % 4.71/4.84 ! [V_n] : V_n != c_Nat_OSuc(V_n) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__mult__cancel1,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.84 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_n_2) % 4.71/4.84 <=> V_ma_2 = V_n_2 ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__neq__Zero,axiom, % 4.71/4.84 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Zero__neq__Suc,axiom, % 4.71/4.84 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat_Osimps_I3_J,axiom, % 4.71/4.84 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__not__Zero,axiom, % 4.71/4.84 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat_Osimps_I2_J,axiom, % 4.71/4.84 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Zero__not__Suc,axiom, % 4.71/4.84 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ). % 4.71/4.84 % 4.71/4.84 fof(fact_not__less__eq,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__Suc__eq,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 4.71/4.84 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 4.71/4.84 | V_ma_2 = V_n_2 ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__less__eq,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),c_Nat_OSuc(V_n_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_not__less__less__Suc__eq,axiom, % 4.71/4.84 ! [V_ma_2,V_n_2] : % 4.71/4.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) % 4.71/4.84 <=> V_n_2 = V_ma_2 ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__antisym,axiom, % 4.71/4.84 ! [V_m,V_n] : % 4.71/4.84 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m)) % 4.71/4.84 => V_m = V_n ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__SucI,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__lessI,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => ( c_Nat_OSuc(V_m) != V_n % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__trans__Suc,axiom, % 4.71/4.84 ! [V_k,V_j,V_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__SucE,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) % 4.71/4.84 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => V_m = V_n ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__lessD,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__less__SucD,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__Suc__eq__0__disj,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 4.71/4.84 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 | ? [B_j] : % 4.71/4.84 ( V_ma_2 = c_Nat_OSuc(B_j) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_n_2) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_less__Suc0,axiom, % 4.71/4.84 ! [V_n_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 4.71/4.84 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_gr0__conv__Suc,axiom, % 4.71/4.84 ! [V_n_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) % 4.71/4.84 <=> ? [B_m] : V_n_2 = c_Nat_OSuc(B_m) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__mult__less__cancel1,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2,V_k_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_n_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_mult__eq__1__iff,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 4.71/4.84 <=> ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 4.71/4.84 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power_Opower_Opower__Suc,axiom, % 4.71/4.84 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Nat_OSuc(V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_n_2)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 4.71/4.84 ! [V_q,V_x,T_a] : % 4.71/4.84 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.84 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 4.71/4.84 ! [V_q,V_x,T_a] : % 4.71/4.84 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.84 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),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_Nat_OSuc(V_q)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 4.71/4.84 ! [V_q,V_x,T_a] : % 4.71/4.84 ( class_Rings_Ocomm__semiring__1(T_a) % 4.71/4.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__Suc,axiom, % 4.71/4.84 ! [V_n,V_a,T_a] : % 4.71/4.84 ( class_Power_Opower(T_a) % 4.71/4.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(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)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__Suc2,axiom, % 4.71/4.84 ! [V_n,V_a,T_a] : % 4.71/4.84 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__0__Suc,axiom, % 4.71/4.84 ! [V_n,T_a] : % 4.71/4.84 ( ( class_Power_Opower(T_a) % 4.71/4.84 & class_Rings_Osemiring__0(T_a) ) % 4.71/4.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_OSuc(V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__Suc__0,axiom, % 4.71/4.84 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 4.71/4.84 ! [V_ma_2,V_x_2] : % 4.71/4.84 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_ma_2) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 4.71/4.84 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 | V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__le__imp__le__base,axiom, % 4.71/4.84 ! [V_b,V_n,V_a,T_a] : % 4.71/4.84 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n))) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__inject__base,axiom, % 4.71/4.84 ! [V_b,V_n,V_a,T_a] : % 4.71/4.84 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.84 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 4.71/4.84 => V_a = V_b ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__gt1,axiom, % 4.71/4.84 ! [V_n,V_a,T_a] : % 4.71/4.84 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 4.71/4.84 => 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),c_Nat_OSuc(V_n))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_realpow__two__disj,axiom, % 4.71/4.84 ! [V_y_2,V_x_2,T_a] : % 4.71/4.84 ( class_Rings_Oidom(T_a) % 4.71/4.84 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y_2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 4.71/4.84 <=> ( V_x_2 = V_y_2 % 4.71/4.84 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_one__less__mult,axiom, % 4.71/4.84 ! [V_m,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_n__less__n__mult__m,axiom, % 4.71/4.84 ! [V_m,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_n__less__m__mult__n,axiom, % 4.71/4.84 ! [V_m,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__Suc__less,axiom, % 4.71/4.84 ! [V_i,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(V_i)),V_n) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__pred,axiom, % 4.71/4.84 ! [V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.84 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_one__le__mult__iff,axiom, % 4.71/4.84 ! [V_n_2,V_ma_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2)) % 4.71/4.84 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ma_2) % 4.71/4.84 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_real__of__nat__Suc__gt__zero,axiom, % 4.71/4.84 ! [V_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__Suc__diff__eq1,axiom, % 4.71/4.84 ! [V_m,V_j,V_k] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 4.71/4.84 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(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_m,V_k),c_Nat_OSuc(V_j)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_diff__Suc__diff__eq2,axiom, % 4.71/4.84 ! [V_m,V_j,V_k] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 4.71/4.84 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)),V_m) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_j),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_real__of__nat__one,axiom, % 4.71/4.84 c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ). % 4.71/4.84 % 4.71/4.84 fof(fact_real__of__nat__Suc,axiom, % 4.71/4.84 ! [V_n] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat__one__le__power,axiom, % 4.71/4.84 ! [V_n,V_i] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_realpow__Suc__le__self,axiom, % 4.71/4.84 ! [V_n,V_r,T_a] : % 4.71/4.84 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_r) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_r,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_r),c_Nat_OSuc(V_n)),V_r) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_power__Suc__less__one,axiom, % 4.71/4.84 ! [V_n,V_a,T_a] : % 4.71/4.84 ( class_Rings_Olinordered__semidom(T_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 4.71/4.84 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_lemma__realpow__diff,axiom, % 4.71/4.84 ! [V_y,V_n,V_p,T_a] : % 4.71/4.84 ( class_Groups_Omonoid__mult(T_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_p,V_n) % 4.71/4.84 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),V_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_p))),V_y) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__pred_H,axiom, % 4.71/4.84 ! [V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.84 => V_n = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Suc__diff__1,axiom, % 4.71/4.84 ! [V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.84 => c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_add__eq__if,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_n ) % 4.71/4.84 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Bseq__iff,axiom, % 4.71/4.84 ! [V_X_2,T_a] : % 4.71/4.84 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.84 => ( c_SEQ_OBseq(T_a,V_X_2) % 4.71/4.84 <=> ? [B_N] : % 4.71/4.84 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Bseq__iff1a,axiom, % 4.71/4.84 ! [V_X_2,T_a] : % 4.71/4.84 ( class_RealVector_Oreal__normed__vector(T_a) % 4.71/4.84 => ( c_SEQ_OBseq(T_a,V_X_2) % 4.71/4.84 <=> ? [B_N] : % 4.71/4.84 ! [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_realpow__two__diff,axiom, % 4.71/4.84 ! [V_y,V_x,T_a] : % 4.71/4.84 ( class_Rings_Ocomm__ring__1(T_a) % 4.71/4.84 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_reals__Archimedean4,axiom, % 4.71/4.84 ! [V_x,V_y] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 4.71/4.84 => ? [B_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B_n)),V_y),V_x) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))),V_y)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_int__power__div__base,axiom, % 4.71/4.84 ! [V_k,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom, % 4.71/4.84 ! [V_y,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__self,axiom, % 4.71/4.84 ! [V_a,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,V_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__self,axiom, % 4.71/4.84 ! [V_a] : % 4.71/4.84 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__zminus__zminus,axiom, % 4.71/4.84 ! [V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_a),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_b)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__zminus2,axiom, % 4.71/4.84 ! [V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_b)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_a),V_b) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__by__1,axiom, % 4.71/4.84 ! [V_a,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_pos__imp__zdiv__neg__iff,axiom, % 4.71/4.84 ! [V_a_2,V_b_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_neg__imp__zdiv__neg__iff,axiom, % 4.71/4.84 ! [V_a_2,V_b_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__neg__pos__less0,axiom, % 4.71/4.84 ! [V_b,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__mult1,axiom, % 4.71/4.84 ! [V_b,V_a,V_c,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__mult2,axiom, % 4.71/4.84 ! [V_b,V_a,V_c,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__self1__is__id,axiom, % 4.71/4.84 ! [V_a,V_b,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = V_a ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__self2__is__id,axiom, % 4.71/4.84 ! [V_a,V_b,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = V_a ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__mult1__if,axiom, % 4.71/4.84 ! [V_b,V_a,V_c,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(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)) = c_Groups_Ozero__class_Ozero(T_a) ) % 4.71/4.84 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__zero,axiom, % 4.71/4.84 ! [V_b] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__by__0,axiom, % 4.71/4.84 ! [V_a,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__0,axiom, % 4.71/4.84 ! [V_a,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__eq__0__iff,axiom, % 4.71/4.84 ! [V_k_2,V_i_2] : % 4.71/4.84 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.84 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.84 | ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2) ) % 4.71/4.84 | ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_pos__imp__zdiv__nonneg__iff,axiom, % 4.71/4.84 ! [V_a_2,V_b_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_pos__imp__zdiv__pos__iff,axiom, % 4.71/4.84 ! [V_i_2,V_k_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_i_2) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom, % 4.71/4.84 ! [V_b_2,V_a_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2)) % 4.71/4.84 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_2,V_a_2) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__mono2,axiom, % 4.71/4.84 ! [V_b,V_b_H,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__nonneg__neg__le0,axiom, % 4.71/4.84 ! [V_b,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__pos__pos__trivial,axiom, % 4.71/4.84 ! [V_b,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_neg__imp__zdiv__nonneg__iff,axiom, % 4.71/4.84 ! [V_a_2,V_b_2] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2)) % 4.71/4.84 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__nonpos__pos__le0,axiom, % 4.71/4.84 ! [V_b,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__mono2__neg,axiom, % 4.71/4.84 ! [V_b,V_b_H,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__neg__neg__trivial,axiom, % 4.71/4.84 ! [V_b,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__mono1,axiom, % 4.71/4.84 ! [V_b,V_a_H,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__mono1__neg,axiom, % 4.71/4.84 ! [V_b,V_a_H,V_a] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_int__div__less__self,axiom, % 4.71/4.84 ! [V_k,V_x] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k) % 4.71/4.84 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_zdiv__zmult2__eq,axiom, % 4.71/4.84 ! [V_b,V_a,V_c] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__self1,axiom, % 4.71/4.84 ! [V_c,V_a,V_b,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__self2,axiom, % 4.71/4.84 ! [V_c,V_a,V_b,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__add__self1,axiom, % 4.71/4.84 ! [V_a,V_b,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_a),V_b) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__add__self2,axiom, % 4.71/4.84 ! [V_a,V_b,T_a] : % 4.71/4.84 ( class_Divides_Osemiring__div(T_a) % 4.71/4.84 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_split__zdiv,axiom, % 4.71/4.84 ! [V_k_2,V_n_2,V_P_2] : % 4.71/4.84 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2))) % 4.71/4.84 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.84 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) % 4.71/4.84 & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) % 4.71/4.84 => ! [B_i] : % 4.71/4.84 ( ? [B_j] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B_j) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2) % 4.71/4.84 & V_n_2 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j) ) % 4.71/4.84 => hBOOL(hAPP(V_P_2,B_i)) ) ) % 4.71/4.84 & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 => ! [B_i] : % 4.71/4.84 ( ? [B_j] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,B_j) % 4.71/4.84 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,B_j,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 4.71/4.84 & V_n_2 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j) ) % 4.71/4.84 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_divmod__int__rel__div__eq,axiom, % 4.71/4.84 ! [V_r_1,V_y,V_b_1,V_a_1] : % 4.71/4.84 ( V_a_1 = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1) % 4.71/4.84 => ( ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_1) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1) ) ) % 4.71/4.84 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1) % 4.71/4.84 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r_1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) % 4.71/4.84 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_z3div__def,axiom, % 4.71/4.84 ! [V_k,V_l] : % 4.71/4.84 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_l) % 4.71/4.84 => c_SMT_Oz3div(V_k,V_l) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_k,V_l) ) % 4.71/4.84 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_l) % 4.71/4.84 => c_SMT_Oz3div(V_k,V_l) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_k,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_l))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_reals__Archimedean6a,axiom, % 4.71/4.84 ! [V_r] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r) % 4.71/4.84 => ? [B_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B_n),V_r) % 4.71/4.84 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__1,axiom, % 4.71/4.84 ! [V_m] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__le__dividend,axiom, % 4.71/4.84 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__le__mono,axiom, % 4.71/4.84 ! [V_k,V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_k),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_k)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult2__eq,axiom, % 4.71/4.84 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__less,axiom, % 4.71/4.84 ! [V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat__mult__div__cancel__disj,axiom, % 4.71/4.84 ! [V_n,V_m,V_k] : % 4.71/4.84 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(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)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 4.71/4.84 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_poly__div__mult__right,axiom, % 4.71/4.84 ! [V_z,V_y,V_x,T_a] : % 4.71/4.84 ( class_Fields_Ofield(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_y),V_z)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y),V_z) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_poly__div__minus__left,axiom, % 4.71/4.84 ! [V_y,V_x,T_a] : % 4.71/4.84 ( class_Fields_Ofield(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x),V_y) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_poly__div__minus__right,axiom, % 4.71/4.84 ! [V_y,V_x,T_a] : % 4.71/4.84 ( class_Fields_Ofield(T_a) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_y)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__le__mono2,axiom, % 4.71/4.84 ! [V_k,V_n,V_m] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) % 4.71/4.84 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 4.71/4.84 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_n),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_m)) ) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_nat__mult__div__cancel1,axiom, % 4.71/4.84 ! [V_n,V_m,V_k] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(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)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__self__is__m,axiom, % 4.71/4.84 ! [V_m,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.84 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n) = V_m ) ). % 4.71/4.84 % 4.71/4.84 fof(fact_div__mult__self1__is__m,axiom, % 4.71/4.84 ! [V_m,V_n] : % 4.71/4.84 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.85 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m),V_n) = V_m ) ). % 4.71/4.85 % 4.71/4.85 fof(fact_div__less__dividend,axiom, % 4.71/4.85 ! [V_m,V_n] : % 4.71/4.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n) % 4.71/4.85 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) % 4.71/4.85 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m) ) ) ). % 4.71/4.85 % 4.71/4.85 fof(fact_div__if,axiom, % 4.71/4.85 ! [V_m,V_n] : % 4.71/4.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.85 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.85 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 4.71/4.85 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.85 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)) ) ) ) ). % 4.71/4.85 % 4.71/4.85 fof(fact_div__geq,axiom, % 4.71/4.85 ! [V_m,V_n] : % 4.71/4.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 4.71/4.85 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 4.71/4.85 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)) ) ) ). % 4.71/4.85 % 4.71/4.85 fof(fact_split__div,axiom, % 4.71/4.85 ! [V_k_2,V_n_2,V_P_2] : % 4.71/4.85 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2))) % 4.71/4.85 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.85 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 4.71/4.85 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 4.71/4.85 => ! [B_i,B_j] : % 4.71/4.85 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_k_2) % 4.71/4.85 => ( V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i),B_j) % 4.71/4.85 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ). % 4.71/4.85 % 4.71/4.85 %----Arity declarations (277) % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 4.71/4.85 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 4.71/4.85 ! [T_2,T_1] : % 4.71/4.85 ( class_Lattices_Oboolean__algebra(T_1) % 4.71/4.85 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_fun__Orderings_Opreorder,axiom, % 4.71/4.85 ! [T_2,T_1] : % 4.71/4.85 ( class_Orderings_Opreorder(T_1) % 4.71/4.85 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_fun__Orderings_Oorder,axiom, % 4.71/4.85 ! [T_2,T_1] : % 4.71/4.85 ( class_Orderings_Oorder(T_1) % 4.71/4.85 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_fun__Orderings_Oord,axiom, % 4.71/4.85 ! [T_2,T_1] : % 4.71/4.85 ( class_Orderings_Oord(T_1) % 4.71/4.85 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_fun__Groups_Ouminus,axiom, % 4.71/4.85 ! [T_2,T_1] : % 4.71/4.85 ( class_Groups_Ouminus(T_1) % 4.71/4.85 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_fun__Groups_Ominus,axiom, % 4.71/4.85 ! [T_2,T_1] : % 4.71/4.85 ( class_Groups_Ominus(T_1) % 4.71/4.85 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 4.71/4.85 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 4.71/4.85 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom, % 4.71/4.85 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 4.71/4.85 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 4.71/4.85 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 4.71/4.85 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 4.71/4.85 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 4.71/4.85 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 4.71/4.85 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom, % 4.71/4.85 class_Rings_Oordered__ring__abs(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 4.71/4.85 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 4.71/4.85 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 4.71/4.85 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Divides_Osemiring__div,axiom, % 4.71/4.85 class_Divides_Osemiring__div(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 4.71/4.85 class_Groups_Oab__group__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 4.71/4.85 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 4.71/4.85 class_Rings_Oordered__ring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 4.71/4.85 class_Orderings_Opreorder(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 4.71/4.85 class_Orderings_Olinorder(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 4.71/4.85 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 4.71/4.85 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 4.71/4.85 class_Groups_Omonoid__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 4.71/4.85 class_Rings_Osemiring__0(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 4.71/4.85 class_Groups_Ogroup__add(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 4.71/4.85 class_Rings_Omult__zero(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 4.71/4.85 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 4.71/4.85 class_Orderings_Oorder(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 4.71/4.85 class_Int_Oring__char__0(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 4.71/4.85 class_Rings_Osemiring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Orderings_Oord,axiom, % 4.71/4.85 class_Orderings_Oord(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 4.71/4.85 class_Groups_Ouminus(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 4.71/4.85 class_Groups_Osgn__if(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oabs__if,axiom, % 4.71/4.85 class_Groups_Oabs__if(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 4.71/4.85 class_Rings_Oring__1(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ominus,axiom, % 4.71/4.85 class_Groups_Ominus(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Power_Opower,axiom, % 4.71/4.85 class_Power_Opower(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Ozero,axiom, % 4.71/4.85 class_Groups_Ozero(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oring,axiom, % 4.71/4.85 class_Rings_Oring(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Rings_Oidom,axiom, % 4.71/4.85 class_Rings_Oidom(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Int__Oint__Groups_Oone,axiom, % 4.71/4.85 class_Groups_Oone(tc_Int_Oint) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 4.71/4.85 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 4.71/4.85 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 4.71/4.85 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 4.71/4.85 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 4.71/4.85 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom, % 4.71/4.85 class_Divides_Osemiring__div(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 4.71/4.85 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 4.71/4.85 class_Orderings_Opreorder(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 4.71/4.85 class_Orderings_Olinorder(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 4.71/4.85 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 4.71/4.85 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 4.71/4.85 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 4.71/4.85 class_Rings_Omult__zero(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 4.71/4.85 class_Orderings_Oorder(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 4.71/4.85 class_Rings_Osemiring(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 4.71/4.85 class_Orderings_Oord(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 4.71/4.85 class_Groups_Ominus(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Power_Opower,axiom, % 4.71/4.85 class_Power_Opower(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 4.71/4.85 class_Groups_Ozero(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Nat__Onat__Groups_Oone,axiom, % 4.71/4.85 class_Groups_Oone(tc_Nat_Onat) ). % 4.71/4.85 % 4.71/4.85 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 4.71/4.85 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 4.71/4.85 % 4.71/4.85 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 4.71/4.85 class_Orderings_Opreorder(tc_HOL_Obool) ). % 4.71/4.85 % 4.71/4.85 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 4.71/4.85 class_Orderings_Oorder(tc_HOL_Obool) ). % 4.71/4.85 % 4.71/4.85 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 4.71/4.85 class_Orderings_Oord(tc_HOL_Obool) ). % 4.71/4.85 % 4.71/4.85 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 4.71/4.85 class_Groups_Ouminus(tc_HOL_Obool) ). % 4.71/4.85 % 4.71/4.85 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 4.71/4.85 class_Groups_Ominus(tc_HOL_Obool) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 4.71/4.85 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 4.71/4.85 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom, % 4.71/4.85 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom, % 4.71/4.85 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom, % 4.71/4.85 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom, % 4.71/4.85 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom, % 4.71/4.85 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom, % 4.71/4.85 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom, % 4.71/4.85 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom, % 4.71/4.85 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom, % 4.71/4.85 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom, % 4.71/4.85 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom, % 4.71/4.85 class_Fields_Olinordered__field(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom, % 4.71/4.85 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oordered__ring__abs,axiom, % 4.71/4.85 class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom, % 4.71/4.85 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom, % 4.71/4.85 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom, % 4.71/4.85 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom, % 4.71/4.85 class_Groups_Oab__group__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom, % 4.71/4.85 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom, % 4.71/4.85 class_Rings_Oordered__ring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom, % 4.71/4.85 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom, % 4.71/4.85 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom, % 4.71/4.85 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom, % 4.71/4.85 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom, % 4.71/4.85 class_Groups_Omonoid__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom, % 4.71/4.85 class_Rings_Osemiring__0(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom, % 4.71/4.85 class_Groups_Ogroup__add(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom, % 4.71/4.85 class_Rings_Omult__zero(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom, % 4.71/4.85 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom, % 4.71/4.85 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom, % 4.71/4.85 class_Int_Oring__char__0(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom, % 4.71/4.85 class_Rings_Osemiring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Orderings_Oord,axiom, % 4.71/4.85 class_Orderings_Oord(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom, % 4.71/4.85 class_Groups_Ouminus(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom, % 4.71/4.85 class_Groups_Osgn__if(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom, % 4.71/4.85 class_Groups_Oabs__if(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom, % 4.71/4.85 class_Rings_Oring__1(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ominus,axiom, % 4.71/4.85 class_Groups_Ominus(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Fields_Ofield,axiom, % 4.71/4.85 class_Fields_Ofield(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Power_Opower,axiom, % 4.71/4.85 class_Power_Opower(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Ozero,axiom, % 4.71/4.85 class_Groups_Ozero(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oring,axiom, % 4.71/4.85 class_Rings_Oring(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Rings_Oidom,axiom, % 4.71/4.85 class_Rings_Oidom(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_RealDef__Oreal__Groups_Oone,axiom, % 4.71/4.85 class_Groups_Oone(tc_RealDef_Oreal) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 4.71/4.85 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom, % 4.71/4.85 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 4.71/4.85 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom, % 4.71/4.85 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom, % 4.71/4.85 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom, % 4.71/4.85 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom, % 4.71/4.85 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom, % 4.71/4.85 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom, % 4.71/4.85 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom, % 4.71/4.85 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom, % 4.71/4.85 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom, % 4.71/4.85 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom, % 4.71/4.85 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom, % 4.71/4.85 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom, % 4.71/4.85 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom, % 4.71/4.85 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom, % 4.71/4.85 class_Rings_Omult__zero(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom, % 4.71/4.85 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom, % 4.71/4.85 class_Int_Oring__char__0(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom, % 4.71/4.85 class_Rings_Osemiring(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom, % 4.71/4.85 class_Groups_Ouminus(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom, % 4.71/4.85 class_Rings_Oring__1(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom, % 4.71/4.85 class_Groups_Ominus(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom, % 4.71/4.85 class_Fields_Ofield(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Power_Opower,axiom, % 4.71/4.85 class_Power_Opower(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom, % 4.71/4.85 class_Groups_Ozero(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Oring,axiom, % 4.71/4.85 class_Rings_Oring(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom, % 4.71/4.85 class_Rings_Oidom(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Complex__Ocomplex__Groups_Oone,axiom, % 4.71/4.85 class_Groups_Oone(tc_Complex_Ocomplex) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Oidom(T_1) % 4.71/4.85 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 4.71/4.85 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Oidom(T_1) % 4.71/4.85 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Oidom(T_1) % 4.71/4.85 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 4.71/4.85 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Ocomm__semiring__0(T_1) % 4.71/4.85 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Ocomm__semiring__1(T_1) % 4.71/4.85 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Groups_Ocomm__monoid__add(T_1) % 4.71/4.85 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Oordered__ring__abs,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Oidom(T_1) % 4.71/4.85 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Groups_Ocomm__monoid__add(T_1) % 4.71/4.85 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.71/4.85 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom, % 4.71/4.85 ! [T_1] : % 4.71/4.85 ( class_Rings_Ocomm__semiring__1(T_1) % 4.71/4.85 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ). % 4.71/4.85 % 4.71/4.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom, % 4.71/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__0(T_1) % 4.97/4.85 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Fields_Ofield(T_1) % 4.97/4.85 => class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__0(T_1) % 4.97/4.85 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Groups_Oab__group__add(T_1) % 4.97/4.85 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__1(T_1) % 4.97/4.85 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__1(T_1) % 4.97/4.85 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__ring__1(T_1) % 4.97/4.85 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Groups_Ocomm__monoid__add(T_1) % 4.97/4.85 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__0(T_1) % 4.97/4.85 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Groups_Oab__group__add(T_1) % 4.97/4.85 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__0(T_1) % 4.97/4.85 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__ring(T_1) % 4.97/4.85 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__0(T_1) % 4.97/4.85 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Groups_Oab__group__add(T_1) % 4.97/4.85 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Oabs__if,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Olinordered__idom(T_1) % 4.97/4.85 => class_Groups_Oabs__if(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__ring__1(T_1) % 4.97/4.85 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Groups_Oab__group__add(T_1) % 4.97/4.85 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Power_Opower,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__1(T_1) % 4.97/4.85 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Groups_Ozero(T_1) % 4.97/4.85 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Oring,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__ring(T_1) % 4.97/4.85 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Oidom(T_1) % 4.97/4.85 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 fof(arity_Polynomial__Opoly__Groups_Oone,axiom, % 4.97/4.85 ! [T_1] : % 4.97/4.85 ( class_Rings_Ocomm__semiring__1(T_1) % 4.97/4.85 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ). % 4.97/4.85 % 4.97/4.85 %----Conjectures (1) % 4.97/4.85 fof(conj_0,conjecture, % 4.97/4.85 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_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))) ). % 4.97/4.85 % 4.97/4.85 %------------------------------------------------------------------------------ % 4.97/4.85 %------------------------------------------- % 4.97/4.85 % Proof found % 4.97/4.85 % SZS status Theorem for theBenchmark % 4.97/4.85 % SZS output start Proof % 4.97/4.85 %ClaNum:2023(EqnAxiom:312) % 4.97/4.85 %VarNum:9476(SingletonVarNum:3282) % 4.97/4.85 %MaxLitNum:7 % 4.97/4.85 %MaxfuncDepth:6 % 4.97/4.85 %SharedTerms:272 % 4.97/4.85 %goalClause: 672 % 4.97/4.85 %singleGoalClaCount:1 % 4.97/4.85 [313]P1(a1) % 4.97/4.85 [314]P1(a2) % 4.97/4.85 [315]P2(a1) % 4.97/4.85 [316]P2(a2) % 4.97/4.85 [317]P47(a1) % 4.97/4.85 [318]P47(a98) % 4.97/4.85 [319]P47(a99) % 4.97/4.85 [320]P48(a1) % 4.97/4.85 [321]P48(a99) % 4.97/4.85 [322]P57(a1) % 4.97/4.85 [323]P57(a99) % 4.97/4.85 [324]P45(a1) % 4.97/4.85 [325]P45(a2) % 4.97/4.85 [326]P58(a1) % 4.97/4.85 [327]P58(a98) % 4.97/4.85 [328]P58(a99) % 4.97/4.85 [329]P65(a1) % 4.97/4.85 [330]P65(a99) % 4.97/4.85 [331]P67(a1) % 4.97/4.85 [332]P67(a98) % 4.97/4.85 [333]P67(a99) % 4.97/4.85 [334]P66(a1) % 4.97/4.85 [335]P66(a98) % 4.97/4.85 [336]P66(a99) % 4.97/4.85 [337]P59(a1) % 4.97/4.85 [338]P59(a98) % 4.97/4.85 [339]P59(a99) % 4.97/4.85 [340]P60(a1) % 4.97/4.85 [341]P60(a98) % 4.97/4.85 [342]P60(a99) % 4.97/4.85 [343]P49(a1) % 4.97/4.85 [344]P49(a99) % 4.97/4.85 [345]P68(a1) % 4.97/4.85 [346]P68(a99) % 4.97/4.85 [347]P61(a1) % 4.97/4.85 [348]P61(a99) % 4.97/4.85 [349]P62(a1) % 4.97/4.85 [350]P62(a99) % 4.97/4.85 [351]P63(a1) % 4.97/4.85 [352]P63(a2) % 4.97/4.85 [353]P63(a98) % 4.97/4.85 [354]P63(a99) % 4.97/4.85 [355]P69(a1) % 4.97/4.85 [356]P69(a2) % 4.97/4.85 [357]P69(a99) % 4.97/4.85 [358]P64(a1) % 4.97/4.85 [359]P64(a2) % 4.97/4.85 [360]P64(a98) % 4.97/4.85 [361]P64(a99) % 4.97/4.85 [362]P73(a1) % 4.97/4.85 [363]P73(a2) % 4.97/4.85 [364]P73(a98) % 4.97/4.85 [365]P73(a99) % 4.97/4.85 [366]P74(a1) % 4.97/4.85 [367]P74(a2) % 4.97/4.85 [368]P74(a98) % 4.97/4.85 [369]P74(a99) % 4.97/4.85 [370]P50(a1) % 4.97/4.85 [371]P50(a2) % 4.97/4.85 [372]P50(a98) % 4.97/4.85 [373]P50(a99) % 4.97/4.85 [374]P53(a1) % 4.97/4.85 [375]P53(a98) % 4.97/4.85 [376]P53(a99) % 4.97/4.85 [377]P46(a1) % 4.97/4.85 [378]P46(a2) % 4.97/4.85 [379]P3(a1) % 4.97/4.85 [380]P3(a98) % 4.97/4.85 [381]P3(a99) % 4.97/4.85 [382]P4(a1) % 4.97/4.85 [383]P4(a99) % 4.97/4.85 [384]P34(a1) % 4.97/4.85 [385]P34(a2) % 4.97/4.85 [386]P34(a98) % 4.97/4.85 [387]P34(a99) % 4.97/4.85 [388]P5(a1) % 4.97/4.85 [389]P5(a2) % 4.97/4.85 [390]P5(a98) % 4.97/4.85 [391]P5(a99) % 4.97/4.85 [392]P6(a1) % 4.97/4.85 [393]P6(a2) % 4.97/4.85 [394]P6(a98) % 4.97/4.85 [395]P6(a99) % 4.97/4.85 [396]P18(a1) % 4.97/4.85 [397]P18(a2) % 4.97/4.85 [398]P18(a98) % 4.97/4.85 [399]P18(a99) % 4.97/4.85 [400]P19(a1) % 4.97/4.85 [401]P19(a2) % 4.97/4.85 [402]P19(a98) % 4.97/4.85 [403]P19(a99) % 4.97/4.85 [404]P22(a1) % 4.97/4.85 [405]P22(a2) % 4.97/4.85 [406]P22(a98) % 4.97/4.85 [407]P22(a99) % 4.97/4.85 [408]P23(a1) % 4.97/4.85 [409]P23(a2) % 4.97/4.85 [410]P23(a98) % 4.97/4.85 [411]P23(a99) % 4.97/4.85 [412]P24(a1) % 4.97/4.85 [413]P24(a2) % 4.97/4.85 [414]P24(a98) % 4.97/4.85 [415]P24(a99) % 4.97/4.85 [416]P25(a1) % 4.97/4.85 [417]P25(a99) % 4.97/4.85 [418]P31(a1) % 4.97/4.85 [419]P31(a98) % 4.97/4.85 [420]P31(a99) % 4.97/4.85 [421]P32(a1) % 4.97/4.85 [422]P32(a98) % 4.97/4.85 [423]P32(a99) % 4.97/4.85 [424]P33(a1) % 4.97/4.85 [425]P33(a98) % 4.97/4.85 [426]P33(a99) % 4.97/4.85 [427]P29(a1) % 4.97/4.85 [428]P29(a2) % 4.97/4.85 [429]P29(a98) % 4.97/4.85 [430]P29(a99) % 4.97/4.85 [431]P26(a1) % 4.97/4.85 [432]P26(a2) % 4.97/4.85 [433]P26(a98) % 4.97/4.85 [434]P26(a99) % 4.97/4.85 [435]P54(a1) % 4.97/4.85 [436]P54(a2) % 4.97/4.85 [437]P54(a98) % 4.97/4.85 [438]P54(a99) % 4.97/4.85 [439]P76(a1) % 4.97/4.85 [440]P76(a2) % 4.97/4.85 [441]P76(a98) % 4.97/4.85 [442]P76(a99) % 4.97/4.85 [443]P37(a1) % 4.97/4.85 [444]P37(a98) % 4.97/4.85 [445]P37(a99) % 4.97/4.85 [446]P37(a100) % 4.97/4.85 [447]P55(a1) % 4.97/4.85 [448]P55(a2) % 4.97/4.85 [449]P55(a98) % 4.97/4.85 [450]P55(a99) % 4.97/4.85 [451]P38(a1) % 4.97/4.85 [452]P38(a98) % 4.97/4.85 [453]P38(a99) % 4.97/4.85 [454]P38(a100) % 4.97/4.85 [455]P39(a1) % 4.97/4.85 [456]P39(a98) % 4.97/4.85 [457]P39(a99) % 4.97/4.85 [458]P43(a1) % 4.97/4.85 [459]P43(a98) % 4.97/4.85 [460]P43(a99) % 4.97/4.85 [461]P43(a100) % 4.97/4.85 [462]P40(a1) % 4.97/4.85 [463]P40(a2) % 4.97/4.85 [464]P40(a99) % 4.97/4.85 [465]P56(a1) % 4.97/4.85 [466]P56(a2) % 4.97/4.85 [467]P56(a99) % 4.97/4.85 [468]P7(a1) % 4.97/4.85 [469]P35(a1) % 4.97/4.85 [470]P35(a99) % 4.97/4.85 [471]P8(a1) % 4.97/4.85 [472]P17(a1) % 4.97/4.85 [473]P17(a2) % 4.97/4.85 [474]P17(a99) % 4.97/4.85 [475]P27(a1) % 4.97/4.85 [476]P27(a2) % 4.97/4.85 [477]P27(a99) % 4.97/4.85 [478]P51(a1) % 4.97/4.85 [479]P51(a2) % 4.97/4.85 [480]P51(a99) % 4.97/4.85 [481]P52(a1) % 4.97/4.85 [482]P52(a2) % 4.97/4.85 [483]P52(a99) % 4.97/4.85 [484]P30(a1) % 4.97/4.85 [485]P30(a99) % 4.97/4.85 [486]P70(a1) % 4.97/4.85 [487]P70(a2) % 4.97/4.85 [488]P70(a99) % 4.97/4.85 [489]P71(a1) % 4.97/4.85 [490]P71(a2) % 4.97/4.85 [491]P71(a99) % 4.97/4.85 [492]P72(a1) % 4.97/4.85 [493]P72(a2) % 4.97/4.85 [494]P72(a99) % 4.97/4.85 [495]P20(a1) % 4.97/4.85 [496]P20(a99) % 4.97/4.85 [497]P41(a100) % 4.97/4.85 [498]P28(a1) % 4.97/4.85 [499]P28(a2) % 4.97/4.85 [500]P28(a98) % 4.97/4.85 [501]P28(a99) % 4.97/4.85 [502]P28(a100) % 4.97/4.85 [503]P36(a1) % 4.97/4.85 [504]P36(a2) % 4.97/4.85 [505]P36(a99) % 4.97/4.85 [506]P36(a100) % 4.97/4.85 [507]P44(a1) % 4.97/4.85 [508]P44(a2) % 4.97/4.85 [509]P44(a98) % 4.97/4.85 [510]P44(a99) % 4.97/4.85 [511]P75(a1) % 4.97/4.85 [512]P75(a2) % 4.97/4.85 [513]P75(a98) % 4.97/4.85 [514]P75(a99) % 4.97/4.85 [515]P9(a98) % 4.97/4.85 [516]P9(a99) % 4.97/4.85 [517]P16(a1) % 4.97/4.85 [518]P16(a2) % 4.97/4.85 [519]P21(a1) % 4.97/4.85 [520]P21(a2) % 4.97/4.85 [521]P21(a98) % 4.97/4.85 [522]P21(a99) % 4.97/4.85 [545]P11(a1,f3(a1),a26) % 4.97/4.85 [558]P10(a99,f3(a99),f4(a99)) % 4.97/4.85 [559]P11(a99,f3(a99),f4(a99)) % 4.97/4.85 [563]P10(a1,f3(a1),f23(a2,a102)) % 4.97/4.85 [651]~E(f4(a1),f3(a1)) % 4.97/4.85 [652]~E(f4(a99),f3(a99)) % 4.97/4.85 [523]E(f12(f3(a1)),f3(a98)) % 4.97/4.85 [524]E(f12(f4(a1)),f4(a98)) % 4.97/4.85 [525]E(f20(f3(a1)),f3(a98)) % 4.97/4.85 [526]E(f20(f4(a1)),f4(a98)) % 4.97/4.85 [527]E(f21(f4(a1)),f3(a1)) % 4.97/4.85 [528]E(f8(a99,f3(a99)),f3(a99)) % 4.97/4.85 [529]E(f22(a98,f3(a98)),f3(a1)) % 4.97/4.85 [530]E(f22(a98,f4(a98)),f4(a1)) % 4.97/4.85 [578]E(f22(a98,f10(a98,f3(a98),f4(a98))),f4(a1)) % 4.97/4.85 [605]P10(a1,f3(a1),f5(a1,f25(f25(f9(a1),a104),a105))) % 4.97/4.85 [672]~P11(a1,f3(a1),f10(a1,f10(a1,f4(a1),f23(a2,a102)),f5(a1,f25(f25(f9(a1),a104),a105)))) % 4.97/4.85 [539]P10(a1,x5391,x5391) % 4.97/4.85 [540]P10(a98,x5401,x5401) % 4.97/4.85 [541]P10(a99,x5411,x5411) % 4.97/4.85 [654]~P11(a98,x6541,x6541) % 4.97/4.85 [531]E(f23(a1,x5311),f5(a1,x5311)) % 4.97/4.85 [547]E(f7(a98,x5471,x5471),f3(a98)) % 4.97/4.85 [549]P10(a98,f3(a98),x5491) % 4.97/4.85 [565]P10(a1,f3(a1),f22(a98,x5651)) % 4.97/4.85 [657]~P11(a98,x6571,f3(a98)) % 4.97/4.85 [666]~P11(a1,f22(a98,x6661),f3(a1)) % 4.97/4.85 [532]E(f12(f22(a98,x5321)),x5321) % 4.97/4.85 [533]E(f20(f22(a98,x5331)),x5331) % 4.97/4.85 [534]E(f8(a99,f8(a99,x5341)),x5341) % 4.97/4.85 [535]E(f5(a1,f22(a98,x5351)),f22(a98,x5351)) % 4.97/4.85 [536]E(f25(f25(f9(a98),x5361),f4(a98)),x5361) % 4.97/4.85 [537]E(f25(f25(f9(a99),x5371),f4(a99)),x5371) % 4.97/4.85 [538]E(f25(f25(f9(a98),x5381),f3(a98)),f3(a98)) % 4.97/4.85 [550]E(f10(a98,x5501,f3(a98)),x5501) % 4.97/4.85 [551]E(f10(a99,x5511,f3(a99)),x5511) % 4.97/4.85 [552]E(f7(a98,x5521,f3(a98)),x5521) % 4.97/4.85 [553]E(f10(a98,f3(a98),x5531),x5531) % 4.97/4.85 [554]E(f10(a99,f3(a99),x5541),x5541) % 4.97/4.85 [555]E(f7(a98,f3(a98),x5551),f3(a98)) % 4.97/4.85 [556]E(f6(a99,f3(a99),x5561),f3(a99)) % 4.97/4.85 [564]E(f10(a99,f8(a99,x5641),x5641),f3(a99)) % 4.97/4.85 [566]P10(a1,x5661,f22(a98,f12(x5661))) % 4.97/4.85 [580]P10(a1,f8(a1,f23(a2,x5801)),f23(a2,x5801)) % 4.97/4.85 [590]P11(a98,x5901,f10(a98,x5901,f4(a98))) % 4.97/4.85 [591]P11(a98,f3(a98),f10(a98,x5911,f4(a98))) % 4.97/4.85 [597]P11(a1,f7(a1,x5971,f4(a1)),f22(a98,f20(x5971))) % 4.97/4.85 [599]P11(a1,f3(a1),f10(a1,f4(a1),f5(a1,x5991))) % 4.97/4.85 [603]P11(a1,x6031,f10(a1,f22(a98,f20(x6031)),f4(a1))) % 4.97/4.85 [659]~E(f10(a98,x6591,f4(a98)),x6591) % 4.97/4.85 [665]~E(f10(a98,x6651,f4(a98)),f3(a98)) % 4.97/4.85 [669]~P10(a98,f10(a98,x6691,f4(a98)),x6691) % 4.97/4.85 [671]~P11(a1,f10(a1,f5(a1,x6711),f4(a1)),x6711) % 4.97/4.85 [542]E(f25(f25(f9(a1),f4(a1)),x5421),x5421) % 4.97/4.85 [543]E(f25(f25(f9(a98),f4(a98)),x5431),x5431) % 4.97/4.85 [544]E(f25(f25(f9(a99),f4(a99)),x5441),x5441) % 4.97/4.85 [546]E(f25(f25(f9(a98),f3(a98)),x5461),f3(a98)) % 4.97/4.85 [579]P10(a98,x5791,f25(f25(f9(a98),x5791),x5791)) % 4.97/4.85 [593]E(f6(a98,x5931,f10(a98,f3(a98),f4(a98))),x5931) % 4.97/4.85 [598]E(f10(a1,f22(a98,x5981),f4(a1)),f22(a98,f10(a98,x5981,f4(a98)))) % 4.97/4.85 [608]P11(a1,f3(a1),f22(a98,f10(a98,x6081,f4(a98)))) % 4.97/4.85 [670]~E(f10(a99,f10(a99,f4(a99),x6701),x6701),f3(a99)) % 4.97/4.85 [621]P10(a98,x6211,f25(f25(f9(a98),x6211),f25(f25(f9(a98),x6211),x6211))) % 4.97/4.85 [626]E(f25(f25(f13(a98),f10(a98,f3(a98),f4(a98))),x6261),f10(a98,f3(a98),f4(a98))) % 4.97/4.85 [570]E(f10(a98,x5701,x5702),f10(a98,x5702,x5701)) % 4.97/4.85 [571]E(f10(a99,x5711,x5712),f10(a99,x5712,x5711)) % 4.97/4.85 [583]P10(a98,x5831,f10(a98,x5832,x5831)) % 4.97/4.85 [584]P10(a98,x5841,f10(a98,x5841,x5842)) % 4.97/4.85 [585]P10(a98,f7(a98,x5851,x5852),x5851) % 4.97/4.85 [586]P10(a98,f6(a98,x5861,x5862),x5861) % 4.97/4.85 [667]~P11(a98,f10(a98,x6671,x6672),x6672) % 4.97/4.85 [668]~P11(a98,f10(a98,x6681,x6682),x6681) % 4.97/4.85 [574]E(f10(a1,x5741,f8(a1,x5742)),f7(a1,x5741,x5742)) % 4.97/4.85 [575]E(f10(a2,x5751,f8(a2,x5752)),f7(a2,x5751,x5752)) % 4.97/4.85 [577]E(f10(a99,x5771,f8(a99,x5772)),f7(a99,x5771,x5772)) % 4.97/4.85 [581]E(f6(a99,f8(a99,x5811),x5812),f6(a99,x5811,f8(a99,x5812))) % 4.97/4.85 [582]E(f6(a99,f8(a99,x5821),f8(a99,x5822)),f6(a99,x5821,x5822)) % 4.97/4.85 [587]E(f7(a98,f10(a98,x5871,x5872),x5872),x5871) % 4.97/4.85 [588]E(f7(a98,f10(a98,x5881,x5882),x5881),x5882) % 4.97/4.85 [589]E(f7(a98,x5891,f10(a98,x5891,x5892)),f3(a98)) % 4.97/4.85 [600]E(f10(a99,f8(a99,x6001),f8(a99,x6002)),f8(a99,f10(a99,x6001,x6002))) % 4.97/4.85 [601]E(f10(a1,f22(a98,x6011),f22(a98,x6012)),f22(a98,f10(a98,x6011,x6012))) % 4.97/4.85 [607]P11(a98,f7(a98,x6071,x6072),f10(a98,x6071,f4(a98))) % 4.97/4.85 [632]P11(a98,x6321,f10(a98,f10(a98,x6322,x6321),f4(a98))) % 4.97/4.85 [633]P11(a98,x6331,f10(a98,f10(a98,x6331,x6332),f4(a98))) % 4.97/4.85 [646]P10(a1,f23(a2,x6461),f10(a1,f23(a2,f10(a2,x6461,x6462)),f23(a2,x6462))) % 4.97/4.85 [647]P10(a1,f7(a1,f23(a2,f10(a2,x6471,x6472)),f23(a2,x6471)),f23(a2,x6472)) % 4.97/4.85 [567]E(f25(f25(f9(a1),x5671),x5672),f25(f25(f9(a1),x5672),x5671)) % 4.97/4.85 [568]E(f25(f25(f9(a98),x5681),x5682),f25(f25(f9(a98),x5682),x5681)) % 4.97/4.85 [569]E(f25(f25(f9(a99),x5691),x5692),f25(f25(f9(a99),x5692),x5691)) % 4.97/4.85 [604]P10(a99,f3(a99),f25(f25(f13(a99),f5(a99,x6041)),x6042)) % 4.97/4.85 [620]E(f10(a98,f10(a98,x6201,f4(a98)),x6202),f10(a98,f10(a98,x6201,x6202),f4(a98))) % 4.97/4.85 [622]E(f5(a1,f10(a1,x6221,f8(a1,x6222))),f5(a1,f10(a1,x6222,f8(a1,x6221)))) % 4.97/4.85 [623]E(f7(a98,f7(a98,x6231,f4(a98)),x6232),f7(a98,x6231,f10(a98,x6232,f4(a98)))) % 4.97/4.85 [624]E(f10(a98,f10(a98,x6241,f4(a98)),x6242),f10(a98,x6241,f10(a98,x6242,f4(a98)))) % 4.97/4.85 [595]E(f25(f25(f9(a99),f8(a99,x5951)),x5952),f8(a99,f25(f25(f9(a99),x5951),x5952))) % 4.97/4.85 [596]E(f25(f25(f13(a1),f22(a98,x5961)),x5962),f22(a98,f25(f25(f13(a98),x5961),x5962))) % 4.97/4.85 [602]E(f25(f25(f9(a1),f22(a98,x6021)),f22(a98,x6022)),f22(a98,f25(f25(f9(a98),x6021),x6022))) % 4.97/4.85 [609]E(f25(f25(f9(a98),x6091),f10(a98,x6092,f4(a98))),f10(a98,x6091,f25(f25(f9(a98),x6091),x6092))) % 4.97/4.85 [627]P10(a1,f8(a1,f25(f25(f9(a1),x6271),x6271)),f25(f25(f9(a1),x6272),x6272)) % 4.97/4.85 [638]E(f25(f25(f9(a98),f10(a98,x6381,f4(a98))),x6382),f10(a98,x6382,f25(f25(f9(a98),x6381),x6382))) % 4.97/4.85 [611]E(f10(a98,x6111,f10(a98,x6112,x6113)),f10(a98,x6112,f10(a98,x6111,x6113))) % 4.97/4.85 [612]E(f10(a99,x6121,f10(a99,x6122,x6123)),f10(a99,x6122,f10(a99,x6121,x6123))) % 4.97/4.85 [613]E(f10(a98,f10(a98,x6131,x6132),x6133),f10(a98,x6131,f10(a98,x6132,x6133))) % 4.97/4.85 [614]E(f10(a99,f10(a99,x6141,x6142),x6143),f10(a99,x6141,f10(a99,x6142,x6143))) % 4.97/4.85 [615]E(f7(a98,f7(a98,x6151,x6152),x6153),f7(a98,x6151,f10(a98,x6152,x6153))) % 4.97/4.85 [616]E(f7(a98,f7(a98,x6161,x6162),x6163),f7(a98,f7(a98,x6161,x6163),x6162)) % 4.97/4.85 [617]E(f7(a98,f10(a98,x6171,x6172),f10(a98,x6173,x6172)),f7(a98,x6171,x6173)) % 4.97/4.85 [618]E(f7(a98,f10(a98,x6181,x6182),f10(a98,x6181,x6183)),f7(a98,x6182,x6183)) % 4.97/4.85 [645]E(f7(a98,f7(a98,f10(a98,x6451,f4(a98)),x6452),f10(a98,x6453,f4(a98))),f7(a98,f7(a98,x6451,x6452),x6453)) % 4.97/4.85 [610]E(f6(a98,x6101,f25(f25(f9(a98),x6102),x6103)),f6(a98,f6(a98,x6101,x6102),x6103)) % 4.97/4.85 [634]E(f10(a98,f25(f25(f9(a98),x6341),x6342),f25(f25(f9(a98),x6341),x6343)),f25(f25(f9(a98),x6341),f10(a98,x6342,x6343))) % 4.97/4.85 [635]E(f7(a98,f25(f25(f9(a98),x6351),x6352),f25(f25(f9(a98),x6351),x6353)),f25(f25(f9(a98),x6351),f7(a98,x6352,x6353))) % 4.97/4.85 [636]E(f10(a99,f25(f25(f9(a99),x6361),x6362),f25(f25(f9(a99),x6361),x6363)),f25(f25(f9(a99),x6361),f10(a99,x6362,x6363))) % 4.97/4.85 [637]E(f7(a99,f25(f25(f9(a99),x6371),x6372),f25(f25(f9(a99),x6371),x6373)),f25(f25(f9(a99),x6371),f7(a99,x6372,x6373))) % 4.97/4.85 [639]E(f25(f25(f9(a99),f25(f25(f13(a99),x6391),x6392)),f25(f25(f13(a99),x6391),x6393)),f25(f25(f13(a99),x6391),f10(a98,x6392,x6393))) % 4.97/4.85 [640]E(f10(a1,f25(f25(f9(a1),x6401),x6402),f25(f25(f9(a1),x6403),x6402)),f25(f25(f9(a1),f10(a1,x6401,x6403)),x6402)) % 4.97/4.85 [641]E(f10(a98,f25(f25(f9(a98),x6411),x6412),f25(f25(f9(a98),x6413),x6412)),f25(f25(f9(a98),f10(a98,x6411,x6413)),x6412)) % 4.97/4.85 [642]E(f7(a98,f25(f25(f9(a98),x6421),x6422),f25(f25(f9(a98),x6423),x6422)),f25(f25(f9(a98),f7(a98,x6421,x6423)),x6422)) % 4.97/4.85 [643]E(f10(a99,f25(f25(f9(a99),x6431),x6432),f25(f25(f9(a99),x6433),x6432)),f25(f25(f9(a99),f10(a99,x6431,x6433)),x6432)) % 4.97/4.85 [644]E(f7(a99,f25(f25(f9(a99),x6441),x6442),f25(f25(f9(a99),x6443),x6442)),f25(f25(f9(a99),f7(a99,x6441,x6443)),x6442)) % 4.97/4.85 [628]E(f25(f25(f9(a1),f25(f25(f9(a1),x6281),x6282)),x6283),f25(f25(f9(a1),x6281),f25(f25(f9(a1),x6282),x6283))) % 4.97/4.85 [629]E(f25(f25(f9(a98),f25(f25(f9(a98),x6291),x6292)),x6293),f25(f25(f9(a98),x6291),f25(f25(f9(a98),x6292),x6293))) % 4.97/4.85 [630]E(f25(f25(f9(a99),f25(f25(f9(a99),x6301),x6302)),x6303),f25(f25(f9(a99),x6301),f25(f25(f9(a99),x6302),x6303))) % 4.97/4.85 [631]E(f25(f25(f13(a99),f25(f25(f13(a99),x6311),x6312)),x6313),f25(f25(f13(a99),x6311),f25(f25(f9(a98),x6312),x6313))) % 4.97/4.85 [606]E(f25(f25(f14(x6061,x6062,x6063),x6064),f3(a98)),x6062) % 4.97/4.85 [650]P10(a1,f5(a1,f10(a1,f10(a1,x6501,x6502),f10(a1,f8(a1,x6503),f8(a1,x6504)))),f10(a1,f5(a1,f10(a1,x6501,f8(a1,x6503))),f5(a1,f10(a1,x6502,f8(a1,x6504))))) % 4.97/4.85 [649]E(f10(a98,f25(f25(f9(a98),x6491),x6492),f10(a98,f25(f25(f9(a98),x6493),x6492),x6494)),f10(a98,f25(f25(f9(a98),f10(a98,x6491,x6493)),x6492),x6494)) % 4.97/4.85 [648]E(f25(f25(f14(x6481,x6482,x6483),x6484),f10(a98,x6485,f4(a98))),f25(f25(x6483,x6484),f25(f25(f14(x6481,x6482,x6483),x6484),x6485))) % 4.97/4.85 [673]~P49(x6731)+P47(f101(x6731)) % 4.97/4.85 [674]~P49(x6741)+P48(f101(x6741)) % 4.97/4.85 [675]~P49(x6751)+P57(f101(x6751)) % 4.97/4.85 [676]~P49(x6761)+P58(f101(x6761)) % 4.97/4.85 [677]~P49(x6771)+P65(f101(x6771)) % 4.97/4.85 [678]~P49(x6781)+P67(f101(x6781)) % 4.97/4.85 [679]~P49(x6791)+P66(f101(x6791)) % 4.97/4.85 [680]~P49(x6801)+P59(f101(x6801)) % 4.97/4.85 [681]~P49(x6811)+P60(f101(x6811)) % 4.97/4.85 [682]~P49(x6821)+P49(f101(x6821)) % 4.97/4.85 [683]~P49(x6831)+P68(f101(x6831)) % 4.97/4.85 [684]~P49(x6841)+P61(f101(x6841)) % 4.97/4.85 [685]~P49(x6851)+P62(f101(x6851)) % 4.97/4.85 [686]~P56(x6861)+P63(f101(x6861)) % 4.97/4.85 [687]~P56(x6871)+P69(f101(x6871)) % 4.97/4.85 [688]~P55(x6881)+P64(f101(x6881)) % 4.97/4.85 [689]~P54(x6891)+P73(f101(x6891)) % 4.97/4.85 [690]~P55(x6901)+P74(f101(x6901)) % 4.97/4.85 [691]~P55(x6911)+P50(f101(x6911)) % 4.97/4.85 [692]~P49(x6921)+P53(f101(x6921)) % 4.97/4.85 [693]~P49(x6931)+P3(f101(x6931)) % 4.97/4.85 [694]~P49(x6941)+P4(f101(x6941)) % 4.97/4.85 [695]~P34(x6951)+P34(f101(x6951)) % 4.97/4.85 [696]~P55(x6961)+P5(f101(x6961)) % 4.97/4.85 [697]~P24(x6971)+P6(f101(x6971)) % 4.97/4.85 [698]~P21(x6981)+P18(f101(x6981)) % 4.97/4.85 [699]~P21(x6991)+P19(f101(x6991)) % 4.97/4.85 [700]~P54(x7001)+P22(f101(x7001)) % 4.97/4.85 [701]~P24(x7011)+P23(f101(x7011)) % 4.97/4.85 [702]~P24(x7021)+P24(f101(x7021)) % 4.97/4.85 [703]~P49(x7031)+P25(f101(x7031)) % 4.97/4.85 [704]~P49(x7041)+P31(f101(x7041)) % 4.97/4.85 [705]~P49(x7051)+P32(f101(x7051)) % 4.97/4.85 [706]~P49(x7061)+P33(f101(x7061)) % 4.97/4.85 [707]~P54(x7071)+P29(f101(x7071)) % 4.97/4.85 [708]~P54(x7081)+P26(f101(x7081)) % 4.97/4.85 [709]~P54(x7091)+P54(f101(x7091)) % 4.97/4.85 [710]~P56(x7101)+P76(f101(x7101)) % 4.97/4.85 [711]~P49(x7111)+P37(f101(x7111)) % 4.97/4.85 [712]~P55(x7121)+P55(f101(x7121)) % 4.97/4.85 [713]~P49(x7131)+P38(f101(x7131)) % 4.97/4.85 [714]~P49(x7141)+P39(f101(x7141)) % 4.97/4.85 [715]~P49(x7151)+P43(f101(x7151)) % 4.97/4.85 [716]~P49(x7161)+P40(f101(x7161)) % 4.97/4.85 [717]~P56(x7171)+P56(f101(x7171)) % 4.97/4.85 [718]~P49(x7181)+P35(f101(x7181)) % 4.97/4.85 [719]~P17(x7191)+P17(f101(x7191)) % 4.97/4.85 [720]~P17(x7201)+P27(f101(x7201)) % 4.97/4.85 [721]~P51(x7211)+P51(f101(x7211)) % 4.97/4.85 [722]~P52(x7221)+P52(f101(x7221)) % 4.97/4.85 [723]~P49(x7231)+P30(f101(x7231)) % 4.97/4.85 [724]~P52(x7241)+P70(f101(x7241)) % 4.97/4.85 [725]~P56(x7251)+P71(f101(x7251)) % 4.97/4.85 [726]~P51(x7261)+P72(f101(x7261)) % 4.97/4.85 [727]~P49(x7271)+P20(f101(x7271)) % 4.97/4.85 [728]~P17(x7281)+P28(f101(x7281)) % 4.97/4.85 [729]~P17(x7291)+P36(f101(x7291)) % 4.97/4.85 [730]~P54(x7301)+P44(f101(x7301)) % 4.97/4.85 [731]~P55(x7311)+P75(f101(x7311)) % 4.97/4.85 [732]~P16(x7321)+P9(f101(x7321)) % 4.97/4.85 [733]~P21(x7331)+P21(f101(x7331)) % 4.97/4.85 [735]~P73(x7351)+~E(f4(x7351),f3(x7351)) % 4.97/4.85 [737]~E(x7371,f3(a1))+E(f11(a1,x7371),f3(a1)) % 4.97/4.85 [738]~E(x7381,f3(a99))+E(f11(a99,x7381),f3(a99)) % 4.97/4.85 [739]~E(x7391,f3(a98))+E(f22(a98,x7391),f3(a1)) % 4.97/4.85 [740]E(x7401,f3(a98))+~E(f22(a98,x7401),f3(a1)) % 4.97/4.85 [795]E(x7951,f3(a99))+E(f6(a99,x7951,x7951),f4(a99)) % 4.97/4.85 [799]E(x7991,f3(a98))+P11(a98,f3(a98),x7991) % 4.97/4.85 [837]~P2(x8371)+P10(a1,f3(a1),f27(x8371)) % 4.97/4.85 [838]~P2(x8381)+P11(a1,f3(a1),f48(x8381)) % 4.97/4.85 [845]E(f5(a1,x8451),x8451)+P11(a1,x8451,f3(a1)) % 4.97/4.85 [846]E(f5(a99,x8461),x8461)+P11(a99,x8461,f3(a99)) % 4.97/4.85 [858]~P47(x8581)+P10(x8581,f3(x8581),f4(x8581)) % 4.97/4.85 [859]~P47(x8591)+P11(x8591,f3(x8591),f4(x8591)) % 4.97/4.85 [878]~E(x8781,f3(a98))+P10(a1,f22(a98,x8781),f3(a1)) % 4.97/4.85 [879]~E(x8791,f3(a99))+P11(a99,f5(a99,x8791),f4(a99)) % 4.97/4.85 [916]E(x9161,f3(a98))+~P10(a98,x9161,f3(a98)) % 4.97/4.85 [922]E(f12(x9221),f3(a98))+~P10(a1,x9221,f3(a1)) % 4.97/4.85 [923]E(f20(x9231),f3(a98))+~P10(a1,x9231,f3(a1)) % 4.97/4.85 [949]~P11(a1,f3(a1),x9491)+E(f11(a1,x9491),f4(a1)) % 4.97/4.85 [975]~P47(x9751)+~P10(x9751,f4(x9751),f3(x9751)) % 4.97/4.85 [976]~P47(x9761)+~P11(x9761,f4(x9761),f3(x9761)) % 4.97/4.85 [978]E(f8(a1,x9781),f5(a1,x9781))+~P11(a1,x9781,f3(a1)) % 4.97/4.85 [979]E(f8(a99,x9791),f5(a99,x9791))+~P11(a99,x9791,f3(a99)) % 4.97/4.85 [1013]E(x10131,f3(a98))+~P10(a1,f22(a98,x10131),f3(a1)) % 4.97/4.85 [1014]E(x10141,f3(a99))+~P11(a99,f5(a99,x10141),f4(a99)) % 4.97/4.85 [1053]~P11(a99,f3(a99),x10531)+P10(a99,f4(a99),x10531) % 4.97/4.85 [1054]~P10(a99,f4(a99),x10541)+P11(a99,f3(a99),x10541) % 4.97/4.85 [1057]P11(a1,f21(x10571),x10571)+~P11(a1,f3(a1),x10571) % 4.97/4.85 [1084]~P10(a1,x10841,f4(a1))+P10(a98,f12(x10841),f4(a98)) % 4.97/4.85 [1085]~P10(a1,f4(a1),x10851)+P10(a1,f3(a1),f21(x10851)) % 4.97/4.85 [1086]~P10(a1,f4(a1),x10861)+P10(a98,f4(a98),f20(x10861)) % 4.97/4.85 [1087]~P11(a1,f4(a1),x10871)+P11(a1,f3(a1),f21(x10871)) % 4.97/4.85 [1092]~P10(a98,f12(x10921),f4(a98))+P10(a1,x10921,f4(a1)) % 4.97/4.85 [1093]~P10(a98,f4(a98),f20(x10931))+P10(a1,f4(a1),x10931) % 4.97/4.85 [1101]~P11(a98,f3(a98),x11011)+P11(a1,f3(a1),f22(a98,x11011)) % 4.97/4.85 [1146]P11(a98,f3(a98),x11461)+~P11(a1,f3(a1),f22(a98,x11461)) % 4.97/4.85 [741]~P1(x7411)+E(f23(x7411,f3(x7411)),f3(a1)) % 4.97/4.85 [742]~P45(x7421)+E(f23(x7421,f4(x7421)),f4(a1)) % 4.97/4.85 [745]~P4(x7451)+E(f5(x7451,f3(x7451)),f3(x7451)) % 4.97/4.85 [746]~P49(x7461)+E(f5(x7461,f4(x7461)),f4(x7461)) % 4.97/4.85 [747]~P1(x7471)+E(f11(x7471,f3(x7471)),f3(x7471)) % 4.97/4.85 [748]~P35(x7481)+E(f11(x7481,f3(x7481)),f3(x7481)) % 4.97/4.85 [749]~P45(x7491)+E(f11(x7491,f4(x7491)),f4(x7491)) % 4.97/4.85 [750]~P27(x7501)+E(f8(x7501,f3(x7501)),f3(x7501)) % 4.97/4.85 [794]~P49(x7941)+~P12(x7941,f3(f101(x7941))) % 4.97/4.85 [868]~P44(x8681)+E(f14(x8681,f4(x8681),f9(x8681)),f13(x8681)) % 4.97/4.85 [1088]~P11(a98,f3(a98),x10881)+E(f10(a98,f83(x10881),f4(a98)),x10881) % 4.97/4.85 [1120]~P10(a1,f3(a1),x11201)+P11(a1,x11201,f22(a98,f42(x11201))) % 4.97/4.85 [1121]~P10(a1,f3(a1),x11211)+P10(a1,f22(a98,f20(x11211)),x11211) % 4.97/4.85 [1122]~P10(a1,f3(a1),x11221)+P10(a1,f22(a98,f84(x11221)),x11221) % 4.97/4.85 [1190]~P47(x11901)+P11(x11901,f3(x11901),f10(x11901,f4(x11901),f4(x11901))) % 4.97/4.85 [1346]~P10(a99,f3(a99),x13461)+P11(a99,f3(a99),f10(a99,f4(a99),x13461)) % 4.97/4.85 [1348]~P11(a98,f3(a98),x13481)+E(f10(a98,f7(a98,x13481,f4(a98)),f4(a98)),x13481) % 4.97/4.85 [1368]E(x13681,f3(a98))+~P11(a98,x13681,f10(a98,f3(a98),f4(a98))) % 4.97/4.85 [1727]~P11(a98,f3(a98),x17271)+E(f10(a98,f7(a98,x17271,f10(a98,f3(a98),f4(a98))),f4(a98)),x17271) % 4.97/4.85 [788]~P17(x7881)+E(f8(f101(x7881),f3(f101(x7881))),f3(f101(x7881))) % 4.97/4.85 [1067]E(x10671,f3(a1))+P11(a1,f3(a1),f25(f25(f9(a1),x10671),x10671)) % 4.97/4.85 [1282]~E(x12821,f3(a1))+~P11(a1,f3(a1),f25(f25(f9(a1),x12821),x12821)) % 4.97/4.85 [1359]~P10(a1,f3(a1),x13591)+E(f12(f10(a1,x13591,f4(a1))),f10(a98,f12(x13591),f4(a98))) % 4.97/4.85 [1360]~P10(a1,f3(a1),x13601)+E(f20(f10(a1,x13601,f4(a1))),f10(a98,f20(x13601),f4(a98))) % 4.97/4.85 [1450]~P10(a1,f23(a2,x14501),a104)+P10(a1,f23(a2,f25(f17(a2,a106),x14501)),a105) % 4.97/4.85 [1451]~P10(a1,f23(a2,x14511),a104)+P10(a1,f23(a2,f25(f17(a2,a106),x14511)),a26) % 4.97/4.85 [1452]~P10(a1,f23(a2,x14521),a104)+P10(a1,f23(a2,f25(f17(a2,a106),x14521)),a61) % 4.97/4.85 [1579]~P10(a1,f3(a1),x15791)+P10(a1,f21(f10(a1,f4(a1),x15791)),x15791) % 4.97/4.85 [1632]~P10(a1,f3(a1),x16321)+P11(a1,x16321,f22(a98,f10(a98,f84(x16321),f4(a98)))) % 4.97/4.85 [1633]~P10(a1,f3(a1),x16331)+P10(a1,f22(a98,f7(a98,f42(x16331),f4(a98))),x16331) % 4.97/4.85 [1723]~P11(a99,x17231,f3(a99))+P11(a99,f10(a99,f10(a99,f4(a99),x17231),x17231),f3(a99)) % 4.97/4.85 [1881]P11(a99,x18811,f3(a99))+~P11(a99,f10(a99,f10(a99,f4(a99),x18811),x18811),f3(a99)) % 4.97/4.85 [789]~E(x7891,x7892)+P10(a1,x7891,x7892) % 4.97/4.85 [792]~E(x7921,x7922)+P10(a98,x7921,x7922) % 4.97/4.85 [810]~P37(x8101)+P10(x8101,x8102,x8102) % 4.97/4.85 [886]~E(x8861,x8862)+~P11(a1,x8861,x8862) % 4.97/4.85 [891]~E(x8911,x8912)+~P11(a98,x8911,x8912) % 4.97/4.85 [892]~E(x8921,x8922)+~P11(a99,x8921,x8922) % 4.97/4.85 [917]~P11(x9171,x9172,x9172)+~P37(x9171) % 4.97/4.85 [956]P10(a1,x9562,x9561)+P10(a1,x9561,x9562) % 4.97/4.85 [957]P10(a98,x9572,x9571)+P10(a98,x9571,x9572) % 4.97/4.85 [958]P10(a99,x9582,x9581)+P10(a99,x9581,x9582) % 4.97/4.85 [1023]~P11(a1,x10231,x10232)+P10(a1,x10231,x10232) % 4.97/4.85 [1028]~P11(a98,x10281,x10282)+P10(a98,x10281,x10282) % 4.97/4.85 [1029]~P11(a99,x10291,x10292)+P10(a99,x10291,x10292) % 4.97/4.85 [760]~P37(x7602)+P37(f103(x7601,x7602)) % 4.97/4.85 [761]~P38(x7612)+P38(f103(x7611,x7612)) % 4.97/4.85 [762]~P43(x7622)+P43(f103(x7621,x7622)) % 4.97/4.85 [763]~P41(x7632)+P41(f103(x7631,x7632)) % 4.97/4.85 [764]~P28(x7642)+P28(f103(x7641,x7642)) % 4.97/4.85 [765]~P36(x7652)+P36(f103(x7651,x7652)) % 4.97/4.85 [772]E(x7721,x7722)+~E(f22(a98,x7721),f22(a98,x7722)) % 4.97/4.85 [797]E(f10(a98,x7971,x7972),x7972)+~E(x7971,f3(a98)) % 4.97/4.85 [809]~E(x8092,f3(a99))+E(f6(a99,x8091,x8092),f3(a99)) % 4.97/4.85 [818]~P27(x8181)+E(f7(x8181,x8182,x8182),f3(x8181)) % 4.97/4.85 [843]P10(a99,x8432,x8431)+E(f16(x8431,x8432),f3(a99)) % 4.97/4.85 [867]~E(x8672,f8(a1,x8671))+E(f10(a1,x8671,x8672),f3(a1)) % 4.97/4.85 [893]~P4(x8931)+P10(x8931,x8932,f5(x8931,x8932)) % 4.97/4.85 [900]~E(f10(a98,x9002,x9001),x9002)+E(x9001,f3(a98)) % 4.97/4.85 [902]~P1(x9021)+P10(a1,f3(a1),f23(x9021,x9022)) % 4.97/4.85 [903]~P2(x9032)+P10(a1,f3(a1),f96(x9031,x9032)) % 4.97/4.85 [904]~P2(x9042)+P10(a1,f3(a1),f97(x9041,x9042)) % 4.97/4.85 [905]~P2(x9052)+P11(a1,f3(a1),f49(x9051,x9052)) % 4.97/4.85 [906]~P2(x9062)+P11(a1,f3(a1),f82(x9061,x9062)) % 4.97/4.85 [909]~P11(a98,x9092,x9091)+~E(x9091,f3(a98)) % 4.97/4.85 [910]E(x9101,f3(a98))+~E(f10(a98,x9102,x9101),f3(a98)) % 4.97/4.85 [911]E(x9111,f3(a98))+~E(f10(a98,x9111,x9112),f3(a98)) % 4.97/4.85 [919]~P4(x9191)+P10(x9191,f3(x9191),f5(x9191,x9192)) % 4.97/4.85 [942]E(x9421,f8(a1,x9422))+~E(f10(a1,x9422,x9421),f3(a1)) % 4.97/4.85 [980]~P4(x9801)+P10(x9801,f8(x9801,x9802),f5(x9801,x9802)) % 4.97/4.85 [1021]~P1(x10211)+~P11(a1,f23(x10211,x10212),f3(a1)) % 4.97/4.85 [1037]~P10(a98,x10371,x10372)+E(f7(a98,x10371,x10372),f3(a98)) % 4.97/4.85 [1038]~P11(a98,x10381,x10382)+E(f6(a98,x10381,x10382),f3(a98)) % 4.97/4.85 [1045]P10(a98,x10451,x10452)+~E(f7(a98,x10451,x10452),f3(a98)) % 4.97/4.85 [1051]~P4(x10511)+~P11(x10511,f5(x10511,x10512),f3(x10511)) % 4.97/4.85 [1063]~P10(a1,x10631,x10632)+P10(a98,f12(x10631),f12(x10632)) % 4.97/4.85 [1064]~P10(a1,x10641,x10642)+P10(a98,f20(x10641),f20(x10642)) % 4.97/4.85 [1078]~P10(a99,x10782,x10781)+E(f7(a99,x10781,x10782),f16(x10781,x10782)) % 4.97/4.85 [1094]E(f6(a99,x10941,x10942),f24(x10941,x10942))+~P10(a99,f3(a99),x10942) % 4.97/4.85 [1117]P10(a1,x11171,x11172)+~P10(a1,f5(a1,x11171),x11172) % 4.97/4.85 [1127]P10(a98,x11271,f20(x11272))+~P10(a1,f22(a98,x11271),x11272) % 4.97/4.85 [1128]P10(a98,f12(x11281),x11282)+~P10(a1,x11281,f22(a98,x11282)) % 4.97/4.85 [1152]~P10(a98,x11521,x11522)+P10(a1,f22(a98,x11521),f22(a98,x11522)) % 4.97/4.85 [1153]~P11(a98,x11531,x11532)+P11(a1,f22(a98,x11531),f22(a98,x11532)) % 4.97/4.85 [1188]~P10(a1,f5(a1,x11882),x11881)+P10(a1,f8(a1,x11881),x11882) % 4.97/4.85 [1210]P10(a98,x12101,x12102)+~P10(a1,f22(a98,x12101),f22(a98,x12102)) % 4.97/4.85 [1211]P11(a98,x12111,x12112)+~P11(a1,f22(a98,x12111),f22(a98,x12112)) % 4.97/4.85 [1316]~P11(a98,x13162,x13161)+P11(a98,f3(a98),f7(a98,x13161,x13162)) % 4.97/4.85 [1317]~P10(a1,x13171,x13172)+P10(a1,f7(a1,x13171,x13172),f3(a1)) % 4.97/4.85 [1318]~P11(a99,x13181,x13182)+P11(a99,f7(a99,x13181,x13182),f3(a99)) % 4.97/4.86 [1385]~P10(a1,f8(a1,x13851),x13852)+P10(a1,f3(a1),f10(a1,x13851,x13852)) % 4.97/4.86 [1386]~P11(a1,f8(a1,x13861),x13862)+P11(a1,f3(a1),f10(a1,x13861,x13862)) % 4.97/4.86 [1387]~P10(a1,x13872,f8(a1,x13871))+P10(a1,f10(a1,x13871,x13872),f3(a1)) % 4.97/4.86 [1388]~P11(a1,x13882,f8(a1,x13881))+P11(a1,f10(a1,x13881,x13882),f3(a1)) % 4.97/4.86 [1421]P11(a98,x14211,x14212)+~P11(a98,f3(a98),f7(a98,x14212,x14211)) % 4.97/4.86 [1422]P10(a1,x14221,x14222)+~P10(a1,f7(a1,x14221,x14222),f3(a1)) % 4.97/4.86 [1423]P11(a99,x14231,x14232)+~P11(a99,f7(a99,x14231,x14232),f3(a99)) % 4.97/4.86 [1468]P10(a1,x14681,f8(a1,x14682))+~P10(a1,f10(a1,x14682,x14681),f3(a1)) % 4.97/4.86 [1469]P11(a1,x14691,f8(a1,x14692))+~P11(a1,f10(a1,x14692,x14691),f3(a1)) % 4.97/4.86 [1470]P10(a1,f8(a1,x14701),x14702)+~P10(a1,f3(a1),f10(a1,x14701,x14702)) % 4.97/4.86 [1471]P11(a1,f8(a1,x14711),x14712)+~P11(a1,f3(a1),f10(a1,x14711,x14712)) % 4.97/4.86 [777]~P27(x7771)+E(f8(x7771,f8(x7771,x7772)),x7772) % 4.97/4.86 [778]~P41(x7781)+E(f8(x7781,f8(x7781,x7782)),x7782) % 4.97/4.86 [796]~P1(x7961)+E(f5(a1,f23(x7961,x7962)),f23(x7961,x7962)) % 4.97/4.86 [805]~P1(x8051)+E(f23(x8051,f8(x8051,x8052)),f23(x8051,x8052)) % 4.97/4.86 [806]~P4(x8061)+E(f5(x8061,f5(x8061,x8062)),f5(x8061,x8062)) % 4.97/4.86 [807]~P4(x8071)+E(f5(x8071,f8(x8071,x8072)),f5(x8071,x8072)) % 4.97/4.86 [808]~P49(x8081)+E(f11(x8081,f11(x8081,x8082)),f11(x8081,x8082)) % 4.97/4.86 [812]~P29(x8121)+E(f25(f25(f13(x8121),x8122),f4(a98)),x8122) % 4.97/4.86 [813]~P54(x8131)+E(f25(f25(f13(x8131),x8132),f4(a98)),x8132) % 4.97/4.86 [819]~P29(x8191)+E(f25(f25(f9(x8191),x8192),f4(x8191)),x8192) % 4.97/4.86 [820]~P26(x8201)+E(f25(f25(f9(x8201),x8202),f4(x8201)),x8202) % 4.97/4.86 [821]~P54(x8211)+E(f25(f25(f9(x8211),x8212),f4(x8211)),x8212) % 4.97/4.86 [822]~P54(x8221)+E(f25(f25(f13(x8221),x8222),f3(a98)),f4(x8221)) % 4.97/4.86 [823]~P44(x8231)+E(f25(f25(f13(x8231),x8232),f3(a98)),f4(x8231)) % 4.97/4.86 [825]~P23(x8251)+E(f10(x8251,x8252,f3(x8251)),x8252) % 4.97/4.86 [826]~P24(x8261)+E(f10(x8261,x8262,f3(x8261)),x8262) % 4.97/4.86 [827]~P54(x8271)+E(f10(x8271,x8272,f3(x8271)),x8272) % 4.97/4.86 [828]~P27(x8281)+E(f7(x8281,x8282,f3(x8281)),x8282) % 4.97/4.86 [829]~P9(x8291)+E(f6(x8291,x8292,f4(x8291)),x8292) % 4.97/4.86 [830]~P23(x8301)+E(f10(x8301,f3(x8301),x8302),x8302) % 4.97/4.86 [831]~P24(x8311)+E(f10(x8311,f3(x8311),x8312),x8312) % 4.97/4.86 [832]~P54(x8321)+E(f10(x8321,f3(x8321),x8322),x8322) % 4.97/4.86 [840]~P2(x8401)+E(f25(f25(f9(x8401),x8402),f3(x8401)),f3(x8401)) % 4.97/4.86 [841]~P64(x8411)+E(f25(f25(f9(x8411),x8412),f3(x8411)),f3(x8411)) % 4.97/4.86 [842]~P54(x8421)+E(f25(f25(f9(x8421),x8422),f3(x8421)),f3(x8421)) % 4.97/4.86 [850]~P9(x8501)+E(f6(x8501,x8502,f3(x8501)),f3(x8501)) % 4.97/4.86 [851]~P9(x8511)+E(f6(x8511,f3(x8511),x8512),f3(x8511)) % 4.97/4.86 [873]~P27(x8731)+E(f7(x8731,f3(x8731),x8732),f8(x8731,x8732)) % 4.97/4.86 [875]~E(x8751,x8752)+E(f10(a1,x8751,f8(a1,x8752)),f3(a1)) % 4.97/4.86 [885]~P1(x8851)+E(f11(x8851,f8(x8851,x8852)),f8(x8851,f11(x8851,x8852))) % 4.97/4.86 [912]~P27(x9121)+E(f10(x9121,x9122,f8(x9121,x9122)),f3(x9121)) % 4.97/4.86 [913]~P17(x9131)+E(f10(x9131,f8(x9131,x9132),x9132),f3(x9131)) % 4.97/4.86 [914]~P27(x9141)+E(f10(x9141,f8(x9141,x9142),x9142),f3(x9141)) % 4.97/4.86 [939]~P49(x9391)+E(f25(f25(f9(x9391),x9392),f11(x9391,x9392)),f5(x9391,x9392)) % 4.97/4.86 [1008]E(x10081,x10082)+~E(f10(a1,x10081,f8(a1,x10082)),f3(a1)) % 4.97/4.86 [1012]E(x10121,x10122)+~E(f25(x10121,f30(x10122,x10121)),f25(x10122,f30(x10122,x10121))) % 4.97/4.86 [1032]~P49(x10321)+E(f25(f25(f9(x10321),f11(x10321,x10322)),f5(x10321,x10322)),x10322) % 4.97/4.86 [1055]~P4(x10551)+P10(x10551,f8(x10551,f5(x10551,x10552)),f3(x10551)) % 4.97/4.86 [1056]P11(a98,f3(a98),x10561)+~E(x10561,f10(a98,x10562,f4(a98))) % 4.97/4.86 [1097]~P10(a98,x10971,x10972)+E(f10(a98,x10971,f31(x10972,x10971)),x10972) % 4.97/4.86 [1098]~P10(a98,x10981,x10982)+E(f10(a98,x10981,f41(x10982,x10981)),x10982) % 4.97/4.86 [1099]~E(x10991,x10992)+P11(a98,x10991,f10(a98,x10992,f4(a98))) % 4.97/4.86 [1100]~E(x11001,x11002)+P11(a99,x11001,f10(a99,x11002,f4(a99))) % 4.97/4.86 [1104]~E(x11041,f3(a98))+P11(a98,x11041,f10(a98,x11042,f4(a98))) % 4.97/4.86 [1145]~P47(x11451)+P11(x11451,x11452,f10(x11451,x11452,f4(x11451))) % 4.97/4.86 [1212]P11(a98,x12122,x12121)+E(f10(a98,x12121,f7(a98,x12122,x12121)),x12122) % 4.97/4.86 [1232]P11(a98,x12321,x12322)+P11(a98,x12322,f10(a98,x12321,f4(a98))) % 4.97/4.86 [1233]P10(a98,x12331,x12332)+P10(a98,f10(a98,x12332,f4(a98)),x12331) % 4.97/4.86 [1307]~P10(a98,x13071,x13072)+E(f10(a98,x13071,f7(a98,x13072,x13071)),x13072) % 4.97/4.86 [1308]~P10(a98,x13082,x13081)+E(f7(a98,x13081,f7(a98,x13081,x13082)),x13082) % 4.97/4.86 [1309]~P10(a98,x13092,x13091)+E(f10(a98,f7(a98,x13091,x13092),x13092),x13091) % 4.97/4.86 [1323]~P11(a99,x13231,x13232)+P10(a99,x13231,f7(a99,x13232,f4(a99))) % 4.97/4.86 [1325]~P10(a98,x13251,x13252)+P11(a98,x13251,f10(a98,x13252,f4(a98))) % 4.97/4.86 [1328]~P10(a99,x13281,x13282)+P11(a99,x13281,f10(a99,x13282,f4(a99))) % 4.97/4.86 [1329]~P11(a99,x13291,x13292)+P11(a99,x13291,f10(a99,x13292,f4(a99))) % 4.97/4.86 [1332]~P11(a98,x13321,x13322)+P10(a98,f10(a98,x13321,f4(a98)),x13322) % 4.97/4.86 [1334]~P11(a99,x13341,x13342)+P10(a99,f10(a99,x13341,f4(a99)),x13342) % 4.97/4.86 [1404]~P11(a98,x14041,x14042)+E(f10(a98,f10(a98,x14041,f66(x14042,x14041)),f4(a98)),x14042) % 4.97/4.86 [1407]~P10(a98,x14072,x14071)+E(f7(a1,f22(a98,x14071),f22(a98,x14072)),f22(a98,f7(a98,x14071,x14072))) % 4.97/4.86 [1425]P10(a98,x14251,x14252)+~P11(a98,x14251,f10(a98,x14252,f4(a98))) % 4.97/4.86 [1426]P10(a99,x14261,x14262)+~P11(a99,x14261,f10(a99,x14262,f4(a99))) % 4.97/4.86 [1427]P11(a99,x14271,x14272)+~P10(a99,x14271,f7(a99,x14272,f4(a99))) % 4.97/4.86 [1431]P11(a98,x14311,x14312)+~P10(a98,f10(a98,x14311,f4(a98)),x14312) % 4.97/4.86 [1433]P11(a99,x14331,x14332)+~P10(a99,f10(a99,x14331,f4(a99)),x14332) % 4.97/4.86 [1439]~P10(a98,x14391,x14392)+P11(a1,f22(a98,x14391),f10(a1,f22(a98,x14392),f4(a1))) % 4.97/4.86 [1440]~P11(a98,x14401,x14402)+P10(a1,f10(a1,f22(a98,x14401),f4(a1)),f22(a98,x14402)) % 4.97/4.86 [1511]~P11(a98,x15111,x15112)+~P11(a98,x15112,f10(a98,x15111,f4(a98))) % 4.97/4.86 [1512]~P10(a98,x15121,x15122)+~P10(a98,f10(a98,x15122,f4(a98)),x15121) % 4.97/4.86 [1533]P11(a1,x15331,f22(a98,x15332))+~P10(a98,f10(a98,f20(x15331),f4(a98)),x15332) % 4.97/4.86 [1635]P10(a98,x16351,x16352)+~P11(a1,f22(a98,x16351),f10(a1,f22(a98,x16352),f4(a1))) % 4.97/4.86 [1636]P11(a98,x16361,x16362)+~P10(a1,f10(a1,f22(a98,x16361),f4(a1)),f22(a98,x16362)) % 4.97/4.86 [1670]E(x16701,f3(a98))+E(f10(a98,f10(a98,f7(a98,x16701,f4(a98)),x16702),f4(a98)),f10(a98,x16701,x16702)) % 4.97/4.86 [1728]P10(a98,x17281,x17282)+~P10(a98,f10(a98,x17281,f4(a98)),f10(a98,x17282,f4(a98))) % 4.97/4.86 [1730]P11(a98,x17301,x17302)+~P11(a98,f10(a98,x17301,f4(a98)),f10(a98,x17302,f4(a98))) % 4.97/4.86 [782]~E(x7822,f3(a98))+E(f25(f25(f9(a98),x7821),x7822),f3(a98)) % 4.97/4.86 [784]~E(x7841,f3(a98))+E(f25(f25(f9(a98),x7841),x7842),f3(a98)) % 4.97/4.86 [785]~E(x7852,f3(a98))+E(f25(f25(f13(a98),x7851),x7852),f4(a98)) % 4.97/4.86 [801]~P42(x8011)+E(f25(f25(f9(x8011),x8012),x8012),x8012) % 4.97/4.86 [855]~P29(x8551)+E(f25(f25(f9(x8551),f4(x8551)),x8552),x8552) % 4.97/4.86 [856]~P26(x8561)+E(f25(f25(f9(x8561),f4(x8561)),x8562),x8562) % 4.97/4.86 [857]~P54(x8571)+E(f25(f25(f9(x8571),f4(x8571)),x8572),x8572) % 4.97/4.86 [863]~P2(x8631)+E(f25(f25(f9(x8631),f3(x8631)),x8632),f3(x8631)) % 4.97/4.86 [864]~P64(x8641)+E(f25(f25(f9(x8641),f3(x8641)),x8642),f3(x8641)) % 4.97/4.86 [865]~P54(x8651)+E(f25(f25(f9(x8651),f3(x8651)),x8652),f3(x8651)) % 4.97/4.86 [866]~P29(x8661)+E(f25(f25(f13(x8661),f4(x8661)),x8662),f4(x8661)) % 4.97/4.86 [871]E(x8711,f4(a98))+~E(f25(f25(f9(a98),x8712),x8711),f4(a98)) % 4.97/4.86 [872]E(x8721,f4(a98))+~E(f25(f25(f9(a98),x8721),x8722),f4(a98)) % 4.97/4.86 [882]~P24(x8821)+E(f10(f101(x8821),x8822,f3(f101(x8821))),x8822) % 4.97/4.86 [883]~P17(x8831)+E(f7(f101(x8831),x8832,f3(f101(x8831))),x8832) % 4.97/4.86 [884]~P24(x8841)+E(f10(f101(x8841),f3(f101(x8841)),x8842),x8842) % 4.97/4.86 [952]~P17(x9521)+E(f7(f101(x9521),f3(f101(x9521)),x9522),f8(f101(x9521),x9522)) % 4.97/4.86 [968]~E(x9682,f3(a98))+E(f25(f25(f13(a98),x9681),x9682),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [974]~P55(x9741)+E(f25(f25(f9(f101(x9741)),x9742),f3(f101(x9741))),f3(f101(x9741))) % 4.97/4.86 [1091]~E(x10912,f3(a98))+P11(a98,f3(a98),f25(f25(f13(a98),x10911),x10912)) % 4.97/4.86 [1112]~P48(x11121)+P10(x11121,f3(x11121),f25(f25(f9(x11121),x11122),x11122)) % 4.97/4.86 [1172]~P49(x11721)+E(f25(f25(f9(x11721),f5(x11721,x11722)),f5(x11721,x11722)),f25(f25(f9(x11721),x11722),x11722)) % 4.97/4.86 [1191]~E(x11911,f10(a98,f3(a98),f4(a98)))+E(f25(f25(f13(a98),x11911),x11912),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1246]E(x12461,f10(a98,f3(a98),f4(a98)))+~E(f25(f25(f9(a98),x12462),x12461),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1247]E(x12471,f10(a98,f3(a98),f4(a98)))+~E(f25(f25(f9(a98),x12471),x12472),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1264]P10(a99,f3(a99),x12642)+E(f8(a99,f6(a99,x12641,f8(a99,x12642))),f24(x12641,x12642)) % 4.97/4.86 [1278]~P10(a99,f3(a99),x12781)+P10(a99,f3(a99),f25(f25(f13(a99),x12781),x12782)) % 4.97/4.86 [1280]~P11(a98,f3(a98),x12801)+P11(a98,f3(a98),f25(f25(f13(a98),x12801),x12802)) % 4.97/4.86 [1306]E(x13061,f3(a99))+P11(a99,f3(a99),f25(f25(f13(a99),f5(a99,x13061)),x13062)) % 4.97/4.86 [1315]~E(x13152,f3(a98))+P11(a99,f3(a99),f25(f25(f13(a99),f5(a99,x13151)),x13152)) % 4.97/4.86 [1358]~P48(x13581)+~P11(x13581,f25(f25(f9(x13581),x13582),x13582),f3(x13581)) % 4.97/4.86 [1392]P11(a98,f3(a98),x13921)+~P11(a98,f3(a98),f25(f25(f9(a98),x13922),x13921)) % 4.97/4.86 [1393]P11(a98,f3(a98),x13931)+~P11(a98,f3(a98),f25(f25(f9(a98),x13931),x13932)) % 4.97/4.86 [1416]~P10(a1,f3(a1),x14161)+E(f12(f10(a1,x14161,f22(a98,x14162))),f10(a98,f12(x14161),x14162)) % 4.97/4.86 [1417]~P10(a1,f3(a1),x14171)+E(f20(f10(a1,x14171,f22(a98,x14172))),f10(a98,f20(x14171),x14172)) % 4.97/4.86 [1489]~P10(a1,f22(a98,x14892),x14891)+E(f12(f7(a1,x14891,f22(a98,x14892))),f7(a98,f12(x14891),x14892)) % 4.97/4.86 [1490]~P10(a1,f22(a98,x14902),x14901)+E(f20(f7(a1,x14901,f22(a98,x14902))),f7(a98,f20(x14901),x14902)) % 4.97/4.86 [1722]~P11(a98,f3(a98),x17221)+P11(a98,f7(a98,x17221,f10(a98,x17222,f4(a98))),x17221) % 4.97/4.86 [1783]~P10(a98,f10(a98,f3(a98),f4(a98)),x17831)+P10(a98,f10(a98,f3(a98),f4(a98)),f25(f25(f13(a98),x17831),x17832)) % 4.97/4.86 [1841]P10(a98,f10(a98,f3(a98),f4(a98)),x18411)+~P10(a98,f10(a98,f3(a98),f4(a98)),f25(f25(f9(a98),x18412),x18411)) % 4.97/4.86 [1842]P10(a98,f10(a98,f3(a98),f4(a98)),x18421)+~P10(a98,f10(a98,f3(a98),f4(a98)),f25(f25(f9(a98),x18421),x18422)) % 4.97/4.86 [1843]~P72(x18431)+E(f25(f25(f9(x18431),f10(x18431,x18432,f4(x18431))),f7(x18431,x18432,f4(x18431))),f7(x18431,f25(f25(f9(x18431),x18432),x18432),f4(x18431))) % 4.97/4.86 [894]~P55(x8941)+E(f25(f17(x8941,f3(f101(x8941))),x8942),f3(x8941)) % 4.97/4.86 [895]~P54(x8951)+E(f25(f17(x8951,f4(f101(x8951))),x8952),f4(x8951)) % 4.97/4.86 [896]~P34(x8961)+E(f25(f15(x8961,f3(f101(x8961))),x8962),f3(x8961)) % 4.97/4.86 [1016]~P55(x10161)+E(f25(f25(f9(f101(x10161)),f3(f101(x10161))),x10162),f3(f101(x10161))) % 4.97/4.86 [1066]~P51(x10661)+E(f25(f25(f9(x10661),f8(x10661,f4(x10661))),x10662),f8(x10661,x10662)) % 4.97/4.86 [1139]E(f5(a99,x11391),f4(a99))+~E(f5(a99,f25(f25(f9(a99),x11391),x11392)),f4(a99)) % 4.97/4.86 [1155]~E(f22(a98,f20(x11551)),x11551)+E(f20(f25(f25(f13(a1),x11551),x11552)),f25(f25(f13(a98),f20(x11551)),x11552)) % 4.97/4.86 [1265]~P11(a98,f3(a98),x12652)+E(f6(a98,f25(f25(f9(a98),x12651),x12652),x12652),x12651) % 4.97/4.86 [1266]~P11(a98,f3(a98),x12661)+E(f6(a98,f25(f25(f9(a98),x12661),x12662),x12661),x12662) % 4.97/4.86 [1390]~P11(a1,f3(a1),x13902)+E(f25(f25(f9(a1),f22(a98,x13901)),f21(x13902)),f21(f25(f25(f13(a1),x13902),x13901))) % 4.97/4.86 [1580]E(x15801,f3(a1))+~E(f10(a1,f25(f25(f9(a1),x15802),x15802),f25(f25(f9(a1),x15801),x15801)),f3(a1)) % 4.97/4.86 [1581]E(x15811,f3(a1))+~E(f10(a1,f25(f25(f9(a1),x15811),x15811),f25(f25(f9(a1),x15812),x15812)),f3(a1)) % 4.97/4.86 [1583]~P54(x15831)+E(f10(x15831,x15832,x15832),f25(f25(f9(x15831),f10(x15831,f4(x15831),f4(x15831))),x15832)) % 4.97/4.86 [1617]E(x16171,f3(a98))+E(f25(f25(f9(a98),x16172),f25(f25(f13(a98),x16172),f7(a98,x16171,f4(a98)))),f25(f25(f13(a98),x16172),x16171)) % 4.97/4.86 [1790]~P11(a1,f3(a1),x17902)+P11(a1,x17901,f25(f25(f9(a1),f22(a98,f45(x17902,x17901))),x17902)) % 4.97/4.86 [1959]~P10(a1,f3(a1),x19592)+P10(a1,f10(a1,f25(f25(f9(a1),f22(a98,x19591)),x19592),f4(a1)),f25(f25(f13(a1),f10(a1,x19592,f4(a1))),x19591)) % 4.97/4.86 [1875]E(x18751,f3(a98))+E(f10(a98,x18752,f25(f25(f9(a98),f7(a98,x18751,f4(a98))),x18752)),f25(f25(f9(a98),x18751),x18752)) % 4.97/4.86 [984]~P54(x9841)+E(f10(x9841,x9842,x9843),f10(x9841,x9843,x9842)) % 4.97/4.86 [1034]P10(a98,x10341,x10342)+~E(x10342,f10(a98,x10341,x10343)) % 4.97/4.86 [1102]E(x11021,x11022)+~E(f10(a98,x11023,x11021),f10(a98,x11023,x11022)) % 4.97/4.86 [1103]E(x11031,x11032)+~E(f10(a98,x11031,x11033),f10(a98,x11032,x11033)) % 4.97/4.86 [1294]~P10(a98,x12941,x12943)+P10(a98,x12941,f10(a98,x12942,x12943)) % 4.97/4.86 [1296]~P10(a98,x12961,x12962)+P10(a98,x12961,f10(a98,x12962,x12963)) % 4.97/4.86 [1298]~P11(a98,x12981,x12983)+P11(a98,x12981,f10(a98,x12982,x12983)) % 4.97/4.86 [1300]~P11(a98,x13001,x13002)+P11(a98,x13001,f10(a98,x13002,x13003)) % 4.97/4.86 [1301]~P11(a98,x13011,x13013)+P11(a98,f7(a98,x13011,x13012),x13013) % 4.97/4.86 [1410]P10(a98,x14101,x14102)+~P10(a98,f10(a98,x14103,x14101),x14102) % 4.97/4.86 [1411]P10(a98,x14111,x14112)+~P10(a98,f10(a98,x14111,x14113),x14112) % 4.97/4.86 [1412]P11(a98,x14121,x14122)+~P11(a98,f10(a98,x14121,x14123),x14122) % 4.97/4.86 [1518]~P10(a1,x15182,x15183)+P10(a1,f10(a1,x15181,x15182),f10(a1,x15181,x15183)) % 4.97/4.86 [1519]~P10(a98,x15192,x15193)+P10(a98,f10(a98,x15191,x15192),f10(a98,x15191,x15193)) % 4.97/4.86 [1520]~P10(a98,x15201,x15203)+P10(a98,f10(a98,x15201,x15202),f10(a98,x15203,x15202)) % 4.97/4.86 [1521]~P10(a98,x15213,x15212)+P10(a98,f7(a98,x15211,x15212),f7(a98,x15211,x15213)) % 4.97/4.86 [1522]~P10(a98,x15221,x15223)+P10(a98,f7(a98,x15221,x15222),f7(a98,x15223,x15222)) % 4.97/4.86 [1523]~P10(a98,x15231,x15233)+P10(a98,f6(a98,x15231,x15232),f6(a98,x15233,x15232)) % 4.97/4.86 [1524]~P10(a99,x15242,x15243)+P10(a99,f10(a99,x15241,x15242),f10(a99,x15241,x15243)) % 4.97/4.86 [1525]~P11(a98,x15252,x15253)+P11(a98,f10(a98,x15251,x15252),f10(a98,x15251,x15253)) % 4.97/4.86 [1526]~P11(a98,x15261,x15263)+P11(a98,f10(a98,x15261,x15262),f10(a98,x15263,x15262)) % 4.97/4.86 [1527]~P11(a99,x15271,x15273)+P11(a99,f10(a99,x15271,x15272),f10(a99,x15273,x15272)) % 4.97/4.86 [1613]~P10(a98,f7(a98,x16131,x16133),x16132)+P10(a98,x16131,f10(a98,x16132,x16133)) % 4.97/4.86 [1614]~P11(a98,f10(a98,x16141,x16143),x16142)+P11(a98,x16141,f7(a98,x16142,x16143)) % 4.97/4.86 [1615]~P10(a98,x16151,f10(a98,x16153,x16152))+P10(a98,f7(a98,x16151,x16152),x16153) % 4.97/4.86 [1616]~P11(a98,x16161,f7(a98,x16163,x16162))+P11(a98,f10(a98,x16161,x16162),x16163) % 4.97/4.86 [1720]P10(a98,x17201,x17202)+~P10(a98,f10(a98,x17203,x17201),f10(a98,x17203,x17202)) % 4.97/4.86 [1721]P11(a98,x17211,x17212)+~P11(a98,f10(a98,x17213,x17211),f10(a98,x17213,x17212)) % 4.97/4.86 [1047]~P17(x10471)+E(f10(x10471,x10472,f8(x10471,x10473)),f7(x10471,x10472,x10473)) % 4.97/4.86 [1048]~P27(x10481)+E(f10(x10481,x10482,f8(x10481,x10483)),f7(x10481,x10482,x10483)) % 4.97/4.86 [1049]~P51(x10491)+E(f10(x10491,x10492,f8(x10491,x10493)),f7(x10491,x10492,x10493)) % 4.97/4.86 [1050]~P27(x10501)+E(f7(x10501,x10502,f8(x10501,x10503)),f10(x10501,x10502,x10503)) % 4.97/4.86 [1107]~P27(x11071)+E(f10(x11071,f7(x11071,x11072,x11073),x11073),x11072) % 4.97/4.86 [1108]~P27(x11081)+E(f7(x11081,f10(x11081,x11082,x11083),x11083),x11082) % 4.97/4.86 [1151]~P17(x11511)+E(f8(x11511,f7(x11511,x11512,x11513)),f7(x11511,x11513,x11512)) % 4.97/4.86 [1187]~P27(x11871)+E(f10(x11871,f8(x11871,x11872),f10(x11871,x11872,x11873)),x11873) % 4.97/4.86 [1267]~P27(x12671)+E(f10(x12671,f8(x12671,x12672),f8(x12671,x12673)),f8(x12671,f10(x12671,x12673,x12672))) % 4.97/4.86 [1268]~P17(x12681)+E(f10(x12681,f8(x12681,x12682),f8(x12681,x12683)),f8(x12681,f10(x12681,x12682,x12683))) % 4.97/4.86 [1269]~P17(x12691)+E(f7(x12691,f8(x12691,x12692),f8(x12691,x12693)),f8(x12691,f7(x12691,x12692,x12693))) % 4.97/4.86 [1339]~P1(x13391)+E(f23(x13391,f7(x13391,x13392,x13393)),f23(x13391,f7(x13391,x13393,x13392))) % 4.97/4.86 [1340]~P4(x13401)+E(f5(x13401,f7(x13401,x13402,x13403)),f5(x13401,f7(x13401,x13403,x13402))) % 4.97/4.86 [1424]P11(a98,x14241,x14242)+~E(x14242,f10(a98,f10(a98,x14241,x14243),f4(a98))) % 4.97/4.86 [1460]~P78(x14601,x14602,x14603)+P77(f25(x14601,f6(a99,x14602,x14603))) % 4.97/4.86 [1606]~P10(a98,x16062,x16063)+E(f7(a98,f10(a98,x16061,x16062),x16063),f7(a98,x16061,f7(a98,x16063,x16062))) % 4.97/4.86 [1607]~P10(a98,x16073,x16072)+E(f10(a98,x16071,f7(a98,x16072,x16073)),f7(a98,f10(a98,x16071,x16072),x16073)) % 4.97/4.86 [1609]~P10(a98,x16092,x16091)+E(f10(a98,f7(a98,x16091,x16092),x16093),f7(a98,f10(a98,x16091,x16093),x16092)) % 4.97/4.86 [1663]P78(x16631,x16632,x16633)+~P77(f25(x16631,f6(a99,x16632,x16633))) % 4.97/4.86 [1686]~P10(a98,x16863,x16862)+P10(a98,x16861,f7(a98,f10(a98,x16862,x16861),x16863)) % 4.97/4.86 [1755]~P1(x17551)+P10(a1,f23(x17551,f10(x17551,x17552,x17553)),f10(a1,f23(x17551,x17552),f23(x17551,x17553))) % 4.97/4.86 [1756]~P1(x17561)+P10(a1,f23(x17561,f7(x17561,x17562,x17563)),f10(a1,f23(x17561,x17562),f23(x17561,x17563))) % 4.97/4.86 [1757]~P1(x17571)+P10(a1,f7(a1,f23(x17571,x17572),f23(x17571,x17573)),f23(x17571,f10(x17571,x17572,x17573))) % 4.97/4.86 [1758]~P1(x17581)+P10(a1,f7(a1,f23(x17581,x17582),f23(x17581,x17583)),f23(x17581,f7(x17581,x17582,x17583))) % 4.97/4.86 [1769]~P4(x17691)+P10(x17691,f5(x17691,f10(x17691,x17692,x17693)),f10(x17691,f5(x17691,x17692),f5(x17691,x17693))) % 4.97/4.86 [1770]~P4(x17701)+P10(x17701,f5(x17701,f7(x17701,x17702,x17703)),f10(x17701,f5(x17701,x17702),f5(x17701,x17703))) % 4.97/4.86 [1771]~P4(x17711)+P10(x17711,f7(x17711,f5(x17711,x17712),f5(x17711,x17713)),f5(x17711,f7(x17711,x17713,x17712))) % 4.97/4.86 [1772]~P4(x17721)+P10(x17721,f7(x17721,f5(x17721,x17722),f5(x17721,x17723)),f5(x17721,f7(x17721,x17722,x17723))) % 4.97/4.86 [935]~E(x9352,f3(a98))+E(f25(f25(f9(a98),x9351),x9352),f25(f25(f9(a98),x9353),x9352)) % 4.97/4.86 [937]~E(x9371,f3(a98))+E(f25(f25(f9(a98),x9371),x9372),f25(f25(f9(a98),x9371),x9373)) % 4.97/4.86 [969]~P54(x9691)+E(f25(f25(f9(x9691),x9692),x9693),f25(f25(f9(x9691),x9693),x9692)) % 4.97/4.86 [1171]~P70(x11711)+E(f25(f25(f9(x11711),f8(x11711,x11712)),x11713),f25(f25(f9(x11711),x11712),f8(x11711,x11713))) % 4.97/4.86 [1173]~P70(x11731)+E(f25(f25(f9(x11731),f8(x11731,x11732)),f8(x11731,x11733)),f25(f25(f9(x11731),x11732),x11733)) % 4.97/4.86 [1241]~P27(x12411)+E(f10(x12411,x12412,f10(x12411,f8(x12411,x12412),x12413)),x12413) % 4.97/4.86 [1319]~P16(x13191)+E(f6(f101(x13191),x13192,f8(f101(x13191),x13193)),f8(f101(x13191),f6(f101(x13191),x13192,x13193))) % 4.97/4.86 [1320]~P16(x13201)+E(f6(f101(x13201),f8(f101(x13201),x13202),x13203),f8(f101(x13201),f6(f101(x13201),x13202,x13203))) % 4.97/4.86 [1374]~P49(x13741)+P10(x13741,f3(x13741),f25(f25(f13(x13741),f5(x13741,x13742)),x13743)) % 4.97/4.86 [1396]P11(a98,f3(a98),x13961)+P10(a98,f25(f25(f9(a98),x13962),x13961),f25(f25(f9(a98),x13963),x13961)) % 4.97/4.86 [1397]P11(a98,f3(a98),x13971)+P10(a98,f25(f25(f9(a98),x13971),x13972),f25(f25(f9(a98),x13971),x13973)) % 4.97/4.86 [1443]~P10(a98,x14432,x14433)+P10(a98,f25(f25(f9(a98),x14431),x14432),f25(f25(f9(a98),x14431),x14433)) % 4.97/4.86 [1445]~P10(a98,x14451,x14453)+P10(a98,f25(f25(f9(a98),x14451),x14452),f25(f25(f9(a98),x14453),x14452)) % 4.97/4.86 [1509]~P4(x15091)+E(f5(x15091,f10(x15091,f5(x15091,x15092),f5(x15091,x15093))),f10(x15091,f5(x15091,x15092),f5(x15091,x15093))) % 4.97/4.86 [1641]P11(a98,x16411,x16412)+~P11(a98,f25(f25(f9(a98),x16413),x16411),f25(f25(f9(a98),x16413),x16412)) % 4.97/4.86 [1642]P11(a98,x16421,x16422)+~P11(a98,f25(f25(f9(a98),x16421),x16423),f25(f25(f9(a98),x16422),x16423)) % 4.97/4.86 [1646]P11(a98,f3(a98),x16461)+~P11(a98,f25(f25(f9(a98),x16462),x16461),f25(f25(f9(a98),x16463),x16461)) % 4.97/4.86 [1647]P11(a98,f3(a98),x16471)+~P11(a98,f25(f25(f9(a98),x16471),x16472),f25(f25(f9(a98),x16471),x16473)) % 4.97/4.86 [1905]~P10(a98,x19052,x19053)+E(f7(a98,f10(a98,x19051,x19052),f10(a98,x19053,f4(a98))),f7(a98,x19051,f10(a98,f7(a98,x19053,x19052),f4(a98)))) % 4.97/4.86 [1906]~P10(a98,x19062,x19061)+E(f7(a98,f10(a98,f7(a98,x19061,x19062),f4(a98)),x19063),f7(a98,f10(a98,x19061,f4(a98)),f10(a98,x19062,x19063))) % 4.97/4.86 [1911]~P1(x19111)+P10(a1,f5(a1,f7(a1,f23(x19111,x19112),f23(x19111,x19113))),f23(x19111,f7(x19111,x19112,x19113))) % 4.97/4.86 [1914]~P4(x19141)+P10(x19141,f5(x19141,f7(x19141,f5(x19141,x19142),f5(x19141,x19143))),f5(x19141,f7(x19141,x19142,x19143))) % 4.97/4.86 [1199]~P70(x11991)+E(f25(f25(f9(x11991),x11992),f8(x11991,x11993)),f8(x11991,f25(f25(f9(x11991),x11992),x11993))) % 4.97/4.86 [1201]~P2(x12011)+E(f25(f25(f9(x12011),x12012),f8(x12011,x12013)),f8(x12011,f25(f25(f9(x12011),x12012),x12013))) % 4.97/4.86 [1217]~P42(x12171)+E(f25(f25(f9(x12171),x12172),f25(f25(f9(x12171),x12172),x12173)),f25(f25(f9(x12171),x12172),x12173)) % 4.97/4.86 [1230]~P52(x12301)+E(f25(f17(x12301,f8(f101(x12301),x12302)),x12303),f8(x12301,f25(f17(x12301,x12302),x12303))) % 4.97/4.86 [1231]~P17(x12311)+E(f25(f15(x12311,f8(f101(x12311),x12312)),x12313),f8(x12311,f25(f15(x12311,x12312),x12313))) % 4.97/4.86 [1242]~P46(x12421)+E(f23(x12421,f25(f25(f13(x12421),x12422),x12423)),f25(f25(f13(a1),f23(x12421,x12422)),x12423)) % 4.97/4.86 [1248]~P49(x12481)+E(f25(f25(f13(x12481),f5(x12481,x12482)),x12483),f5(x12481,f25(f25(f13(x12481),x12482),x12483))) % 4.97/4.86 [1249]~P70(x12491)+E(f25(f25(f9(x12491),f8(x12491,x12492)),x12493),f8(x12491,f25(f25(f9(x12491),x12492),x12493))) % 4.97/4.86 [1251]~P2(x12511)+E(f25(f25(f9(x12511),f8(x12511,x12512)),x12513),f8(x12511,f25(f25(f9(x12511),x12512),x12513))) % 4.97/4.86 [1305]~E(x13051,f3(a98))+E(f6(a98,f25(f25(f9(a98),x13051),x13052),f25(f25(f9(a98),x13051),x13053)),f3(a98)) % 4.97/4.86 [1335]~P46(x13351)+E(f25(f25(f9(a1),f23(x13351,x13352)),f23(x13351,x13353)),f23(x13351,f25(f25(f9(x13351),x13352),x13353))) % 4.97/4.86 [1343]~P49(x13431)+E(f25(f25(f9(x13431),f5(x13431,x13432)),f5(x13431,x13433)),f5(x13431,f25(f25(f9(x13431),x13432),x13433))) % 4.97/4.86 [1344]~P49(x13441)+E(f25(f25(f9(x13441),f11(x13441,x13442)),f11(x13441,x13443)),f11(x13441,f25(f25(f9(x13441),x13442),x13443))) % 4.97/4.86 [1345]~P46(x13451)+E(f25(f25(f9(x13451),f11(x13451,x13452)),f11(x13451,x13453)),f11(x13451,f25(f25(f9(x13451),x13452),x13453))) % 4.97/4.86 [1395]E(x13951,f3(a98))+E(f6(a98,f25(f25(f9(a98),x13951),x13952),f25(f25(f9(a98),x13951),x13953)),f6(a98,x13952,x13953)) % 4.97/4.86 [1455]~P54(x14551)+E(f25(f25(f9(x14551),x14552),f25(f25(f13(x14551),x14552),x14553)),f25(f25(f13(x14551),x14552),f10(a98,x14553,f4(a98)))) % 4.97/4.86 [1456]~P44(x14561)+E(f25(f25(f9(x14561),x14562),f25(f25(f13(x14561),x14562),x14563)),f25(f25(f13(x14561),x14562),f10(a98,x14563,f4(a98)))) % 4.97/4.86 [1517]~P49(x15171)+E(f5(x15171,f25(f25(f13(x15171),f8(x15171,x15172)),x15173)),f5(x15171,f25(f25(f13(x15171),x15172),x15173))) % 4.97/4.86 [1582]~P11(a98,f3(a98),x15821)+E(f6(a98,f25(f25(f9(a98),x15821),x15822),f25(f25(f9(a98),x15821),x15823)),f6(a98,x15822,x15823)) % 4.97/4.86 [1597]~P11(a99,f3(a99),x15973)+E(f6(a99,x15971,f25(f25(f9(a99),x15972),x15973)),f6(a99,f6(a99,x15971,x15972),x15973)) % 4.97/4.86 [1712]~P54(x17121)+E(f10(x17121,x17122,f25(f25(f9(x17121),x17123),x17122)),f25(f25(f9(x17121),f10(x17121,x17123,f4(x17121))),x17122)) % 4.97/4.86 [1713]~P54(x17131)+E(f10(x17131,f25(f25(f9(x17131),x17132),x17133),x17133),f25(f25(f9(x17131),f10(x17131,x17132,f4(x17131))),x17133)) % 4.97/4.86 [1739]~P45(x17391)+P10(a1,f23(x17391,f25(f25(f13(x17391),x17392),x17393)),f25(f25(f13(a1),f23(x17391,x17392)),x17393)) % 4.97/4.86 [1798]~P2(x17981)+P10(a1,f23(x17981,f25(f25(f9(x17981),x17982),x17983)),f25(f25(f9(a1),f23(x17981,x17983)),f82(x17982,x17981))) % 4.97/4.86 [1799]~P2(x17991)+P10(a1,f23(x17991,f25(f25(f9(x17991),x17992),x17993)),f25(f25(f9(a1),f23(x17991,x17993)),f97(x17992,x17991))) % 4.97/4.86 [1800]~P2(x18001)+P10(a1,f23(x18001,f25(f25(f9(x18001),x18002),x18003)),f25(f25(f9(a1),f23(x18001,x18003)),f33(x18002,x18001))) % 4.97/4.86 [1801]~P2(x18011)+P10(a1,f23(x18011,f25(f25(f9(x18011),x18012),x18013)),f25(f25(f9(a1),f23(x18011,x18012)),f23(x18011,x18013))) % 4.97/4.86 [1802]~P2(x18021)+P10(a1,f23(x18021,f25(f25(f9(x18021),x18022),x18023)),f25(f25(f9(a1),f23(x18021,x18022)),f49(x18023,x18021))) % 4.97/4.86 [1803]~P2(x18031)+P10(a1,f23(x18031,f25(f25(f9(x18031),x18032),x18033)),f25(f25(f9(a1),f23(x18031,x18032)),f96(x18033,x18031))) % 4.97/4.86 [1804]~P2(x18041)+P10(a1,f23(x18041,f25(f25(f9(x18041),x18042),x18043)),f25(f25(f9(a1),f23(x18041,x18042)),f34(x18043,x18041))) % 4.97/4.86 [1849]~P48(x18491)+P10(x18491,f3(x18491),f10(x18491,f25(f25(f9(x18491),x18492),x18492),f25(f25(f9(x18491),x18493),x18493))) % 4.97/4.86 [1919]~P72(x19191)+E(f25(f25(f9(x19191),f25(f25(f13(x19191),f8(x19191,f4(x19191))),x19192)),f25(f25(f13(x19191),x19193),x19192)),f25(f25(f13(x19191),f8(x19191,x19193)),x19192)) % 4.97/4.86 [1931]E(x19311,x19312)+~E(f25(f25(f9(a98),f10(a98,x19313,f4(a98))),x19311),f25(f25(f9(a98),f10(a98,x19313,f4(a98))),x19312)) % 4.97/4.86 [1936]~P48(x19361)+~P11(x19361,f10(x19361,f25(f25(f9(x19361),x19362),x19362),f25(f25(f9(x19361),x19363),x19363)),f3(x19361)) % 4.97/4.86 [1963]~P11(a98,x19632,x19633)+P11(a98,f25(f25(f9(a98),f10(a98,x19631,f4(a98))),x19632),f25(f25(f9(a98),f10(a98,x19631,f4(a98))),x19633)) % 4.97/4.86 [1976]~P2(x19761)+P10(a1,f23(x19761,f25(f25(f9(x19761),x19762),x19763)),f25(f25(f9(a1),f25(f25(f9(a1),f23(x19761,x19762)),f23(x19761,x19763))),f48(x19761))) % 4.97/4.86 [1977]~P2(x19771)+P10(a1,f23(x19771,f25(f25(f9(x19771),x19772),x19773)),f25(f25(f9(a1),f25(f25(f9(a1),f23(x19771,x19772)),f23(x19771,x19773))),f27(x19771))) % 4.97/4.86 [1978]~P2(x19781)+P10(a1,f23(x19781,f25(f25(f9(x19781),x19782),x19783)),f25(f25(f9(a1),f25(f25(f9(a1),f23(x19781,x19782)),f23(x19781,x19783))),f35(x19781))) % 4.97/4.86 [1987]P10(a98,x19871,x19872)+~P10(a98,f25(f25(f9(a98),f10(a98,x19873,f4(a98))),x19871),f25(f25(f9(a98),f10(a98,x19873,f4(a98))),x19872)) % 4.97/4.86 [1993]~P51(x19931)+E(f7(x19931,f25(f25(f13(x19931),x19932),f10(a98,f10(a98,f3(a98),f4(a98)),f4(a98))),f25(f25(f13(x19931),x19933),f10(a98,f10(a98,f3(a98),f4(a98)),f4(a98)))),f25(f25(f9(x19931),f7(x19931,x19932,x19933)),f10(x19931,x19932,x19933))) % 4.97/4.86 [1640]~P29(x16401)+E(f25(f25(f9(x16401),f25(f25(f13(x16401),x16402),x16403)),x16402),f25(f25(f9(x16401),x16402),f25(f25(f13(x16401),x16402),x16403))) % 4.97/4.86 [1654]~P29(x16541)+E(f25(f25(f9(x16541),f25(f25(f13(x16541),x16542),x16543)),x16542),f25(f25(f13(x16541),x16542),f10(a98,x16543,f4(a98)))) % 4.97/4.86 [1655]~P54(x16551)+E(f25(f25(f9(x16551),f25(f25(f13(x16551),x16552),x16553)),x16552),f25(f25(f13(x16551),x16552),f10(a98,x16553,f4(a98)))) % 4.97/4.86 [2015]~P11(a99,f3(a99),x20153)+P11(a99,x20151,f10(a99,x20152,f25(f25(f9(a99),f10(a99,f5(a99,f7(a99,x20152,x20151)),f4(a99))),x20153))) % 4.97/4.86 [2016]~P11(a99,f3(a99),x20163)+P11(a99,f7(a99,x20161,f25(f25(f9(a99),f10(a99,f5(a99,f7(a99,x20161,x20162)),f4(a99))),x20163)),x20162) % 4.97/4.86 [1474]~P54(x14741)+E(f10(x14741,x14742,f10(x14741,x14743,x14744)),f10(x14741,x14743,f10(x14741,x14742,x14744))) % 4.97/4.86 [1476]~P6(x14761)+E(f10(x14761,f10(x14761,x14762,x14763),x14764),f10(x14761,x14762,f10(x14761,x14763,x14764))) % 4.97/4.86 [1477]~P54(x14771)+E(f10(x14771,f10(x14771,x14772,x14773),x14774),f10(x14771,x14772,f10(x14771,x14773,x14774))) % 4.97/4.86 [1478]~P54(x14781)+E(f10(x14781,f10(x14781,x14782,x14783),x14784),f10(x14781,f10(x14781,x14782,x14784),x14783)) % 4.97/4.86 [1035]~P36(x10352)+E(f25(f8(f103(x10351,x10352),x10353),x10354),f8(x10352,f25(x10353,x10354))) % 4.97/4.86 [1441]~P54(x14411)+E(f25(f25(f9(x14411),x14412),f25(f25(f9(x14411),x14413),x14414)),f25(f25(f9(x14411),x14413),f25(f25(f9(x14411),x14412),x14414))) % 4.97/4.86 [1649]~P2(x16491)+E(f10(x16491,f25(f25(f9(x16491),x16492),x16493),f25(f25(f9(x16491),x16492),x16494)),f25(f25(f9(x16491),x16492),f10(x16491,x16493,x16494))) % 4.97/4.86 [1650]~P54(x16501)+E(f10(x16501,f25(f25(f9(x16501),x16502),x16503),f25(f25(f9(x16501),x16502),x16504)),f25(f25(f9(x16501),x16502),f10(x16501,x16503,x16504))) % 4.97/4.86 [1652]~P2(x16521)+E(f7(x16521,f25(f25(f9(x16521),x16522),x16523),f25(f25(f9(x16521),x16522),x16524)),f25(f25(f9(x16521),x16522),f7(x16521,x16523,x16524))) % 4.97/4.86 [1747]~P55(x17471)+E(f10(x17471,f25(f17(x17471,x17472),x17473),f25(f17(x17471,x17474),x17473)),f25(f17(x17471,f10(f101(x17471),x17472,x17474)),x17473)) % 4.97/4.86 [1748]~P52(x17481)+E(f7(x17481,f25(f17(x17481,x17482),x17483),f25(f17(x17481,x17484),x17483)),f25(f17(x17481,f7(f101(x17481),x17482,x17484)),x17483)) % 4.97/4.86 [1749]~P24(x17491)+E(f10(x17491,f25(f15(x17491,x17492),x17493),f25(f15(x17491,x17494),x17493)),f25(f15(x17491,f10(f101(x17491),x17492,x17494)),x17493)) % 4.97/4.86 [1750]~P17(x17501)+E(f7(x17501,f25(f15(x17501,x17502),x17503),f25(f15(x17501,x17504),x17503)),f25(f15(x17501,f7(f101(x17501),x17502,x17504)),x17503)) % 4.97/4.86 [1777]~P29(x17771)+E(f25(f25(f9(x17771),f25(f25(f13(x17771),x17772),x17773)),f25(f25(f13(x17771),x17772),x17774)),f25(f25(f13(x17771),x17772),f10(a98,x17773,x17774))) % 4.97/4.86 [1778]~P54(x17781)+E(f25(f25(f9(x17781),f25(f25(f13(x17781),x17782),x17783)),f25(f25(f13(x17781),x17782),x17784)),f25(f25(f13(x17781),x17782),f10(a98,x17783,x17784))) % 4.97/4.86 [1792]~P2(x17921)+E(f10(x17921,f25(f25(f9(x17921),x17922),x17923),f25(f25(f9(x17921),x17924),x17923)),f25(f25(f9(x17921),f10(x17921,x17922,x17924)),x17923)) % 4.97/4.86 [1793]~P50(x17931)+E(f10(x17931,f25(f25(f9(x17931),x17932),x17933),f25(f25(f9(x17931),x17934),x17933)),f25(f25(f9(x17931),f10(x17931,x17932,x17934)),x17933)) % 4.97/4.86 [1796]~P2(x17961)+E(f7(x17961,f25(f25(f9(x17961),x17962),x17963),f25(f25(f9(x17961),x17964),x17963)),f25(f25(f9(x17961),f7(x17961,x17962,x17964)),x17963)) % 4.97/4.86 [1797]~P54(x17971)+E(f10(x17971,f25(f25(f9(x17971),x17972),x17973),f25(f25(f9(x17971),x17974),x17973)),f25(f25(f9(x17971),f10(x17971,x17972,x17974)),x17973)) % 4.97/4.86 [1610]~P16(x16101)+E(f6(f101(x16101),x16102,f25(f25(f9(f101(x16101)),x16103),x16104)),f6(f101(x16101),f6(f101(x16101),x16102,x16103),x16104)) % 4.97/4.86 [1629]~P54(x16291)+E(f25(f25(f13(x16291),f25(f25(f13(x16291),x16292),x16293)),x16294),f25(f25(f13(x16291),x16292),f25(f25(f9(a98),x16293),x16294))) % 4.97/4.86 [1630]~P29(x16301)+E(f25(f25(f13(x16301),f25(f25(f13(x16301),x16302),x16303)),x16304),f25(f25(f13(x16301),x16302),f25(f25(f9(a98),x16303),x16304))) % 4.97/4.86 [1638]~P5(x16381)+E(f25(f25(f9(x16381),f25(f25(f9(x16381),x16382),x16383)),x16384),f25(f25(f9(x16381),x16382),f25(f25(f9(x16381),x16383),x16384))) % 4.97/4.86 [1639]~P54(x16391)+E(f25(f25(f9(x16391),f25(f25(f9(x16391),x16392),x16393)),x16394),f25(f25(f9(x16391),x16392),f25(f25(f9(x16391),x16393),x16394))) % 4.97/4.86 [1776]~P54(x17761)+E(f25(f25(f9(x17761),f25(f25(f9(x17761),x17762),x17763)),x17764),f25(f25(f9(x17761),f25(f25(f9(x17761),x17762),x17764)),x17763)) % 4.97/4.86 [1860]~P26(x18601)+E(f25(f25(f9(x18601),f25(f25(f13(x18601),x18602),x18603)),f25(f25(f13(x18601),x18604),x18603)),f25(f25(f13(x18601),f25(f25(f9(x18601),x18602),x18604)),x18603)) % 4.97/4.86 [1861]~P54(x18611)+E(f25(f25(f9(x18611),f25(f25(f13(x18611),x18612),x18613)),f25(f25(f13(x18611),x18614),x18613)),f25(f25(f13(x18611),f25(f25(f9(x18611),x18612),x18614)),x18613)) % 4.97/4.86 [1897]~P55(x18971)+E(f10(f101(x18971),f25(f25(f9(f101(x18971)),x18972),x18973),f25(f25(f9(f101(x18971)),x18974),x18973)),f25(f25(f9(f101(x18971)),f10(f101(x18971),x18972,x18974)),x18973)) % 4.97/4.86 [1820]~P54(x18201)+E(f25(f17(x18201,f25(f25(f13(f101(x18201)),x18202),x18203)),x18204),f25(f25(f13(x18201),f25(f17(x18201,x18202),x18204)),x18203)) % 4.97/4.86 [1878]~P55(x18781)+E(f25(f25(f9(x18781),f25(f17(x18781,x18782),x18783)),f25(f17(x18781,x18784),x18783)),f25(f17(x18781,f25(f25(f9(f101(x18781)),x18782),x18784)),x18783)) % 4.97/4.86 [1814]~P54(x18141)+E(f10(x18141,f10(x18141,x18142,x18143),f10(x18141,x18144,x18145)),f10(x18141,f10(x18141,x18142,x18144),f10(x18141,x18143,x18145))) % 4.97/4.86 [1815]~P17(x18151)+E(f10(x18151,f7(x18151,x18152,x18153),f7(x18151,x18154,x18155)),f7(x18151,f10(x18151,x18152,x18154),f10(x18151,x18153,x18155))) % 4.97/4.86 [1391]~P28(x13912)+E(f25(f7(f103(x13911,x13912),x13913,x13914),x13915),f7(x13912,f25(x13913,x13915),f25(x13914,x13915))) % 4.97/4.86 [1994]~P1(x19941)+P10(a1,f23(x19941,f7(x19941,f10(x19941,x19942,x19943),f10(x19941,x19944,x19945))),f10(a1,f23(x19941,f7(x19941,x19942,x19944)),f23(x19941,f7(x19941,x19943,x19945)))) % 4.97/4.86 [1995]~P4(x19951)+P10(x19951,f5(x19951,f7(x19951,f10(x19951,x19952,x19953),f10(x19951,x19954,x19955))),f10(x19951,f5(x19951,f7(x19951,x19952,x19954)),f5(x19951,f7(x19951,x19953,x19955)))) % 4.97/4.86 [1908]~P54(x19081)+E(f25(f25(f9(x19081),f25(f25(f9(x19081),x19082),x19083)),f25(f25(f9(x19081),x19084),x19085)),f25(f25(f9(x19081),f25(f25(f9(x19081),x19082),x19084)),f25(f25(f9(x19081),x19083),x19085))) % 4.97/4.86 [1960]~P70(x19601)+E(f10(x19601,f25(f25(f9(x19601),x19602),f7(x19601,x19603,x19604)),f25(f25(f9(x19601),f7(x19601,x19602,x19605)),x19604)),f7(x19601,f25(f25(f9(x19601),x19602),x19603),f25(f25(f9(x19601),x19605),x19604))) % 4.97/4.86 [2012]~P2(x20121)+E(f10(x20121,f10(x20121,f25(f25(f9(x20121),f7(x20121,x20122,x20123)),f7(x20121,x20124,x20125)),f25(f25(f9(x20121),f7(x20121,x20122,x20123)),x20125)),f25(f25(f9(x20121),x20123),f7(x20121,x20124,x20125))),f7(x20121,f25(f25(f9(x20121),x20122),x20124),f25(f25(f9(x20121),x20123),x20125))) % 4.97/4.86 [1951]~P74(x19511)+E(f10(x19511,f25(f25(f9(x19511),x19512),x19513),f10(x19511,f25(f25(f9(x19511),x19514),x19513),x19515)),f10(x19511,f25(f25(f9(x19511),f10(x19511,x19512,x19514)),x19513),x19515)) % 4.97/4.86 [1991]~P10(a98,x19911,x19914)+E(f7(a98,f10(a98,f25(f25(f9(a98),x19911),x19912),x19913),f10(a98,f25(f25(f9(a98),x19914),x19912),x19915)),f7(a98,x19913,f10(a98,f25(f25(f9(a98),f7(a98,x19914,x19911)),x19912),x19915))) % 4.97/4.86 [1992]~P10(a98,x19924,x19921)+E(f7(a98,f10(a98,f25(f25(f9(a98),x19921),x19922),x19923),f10(a98,f25(f25(f9(a98),x19924),x19922),x19925)),f7(a98,f10(a98,f25(f25(f9(a98),f7(a98,x19921,x19924)),x19922),x19923),x19925)) % 4.97/4.86 [944]~E(x9441,f4(a1))+E(f21(x9441),f3(a1))+~P11(a1,f3(a1),x9441) % 4.97/4.86 [948]~E(f21(x9481),f3(a1))+E(x9481,f4(a1))+~P11(a1,f3(a1),x9481) % 4.97/4.86 [961]E(x9611,f3(a99))+~P11(a99,f3(a99),x9611)+E(f11(a99,x9611),f4(a99)) % 4.97/4.86 [1286]~P11(a1,x12861,f4(a1))+~P11(a1,f3(a1),x12861)+P11(a1,f21(x12861),f3(a1)) % 4.97/4.86 [1310]~P11(a1,f3(a1),x13101)+~P11(a1,f21(x13101),f3(a1))+P11(a1,x13101,f4(a1)) % 4.97/4.86 [1312]~P11(a1,f3(a1),x13121)+~P10(a1,f3(a1),f21(x13121))+P10(a1,f4(a1),x13121) % 4.97/4.86 [1314]~P11(a1,f3(a1),x13141)+~P11(a1,f3(a1),f21(x13141))+P11(a1,f4(a1),x13141) % 4.97/4.86 [898]E(x8981,f3(a1))+P11(a1,f3(a1),x8981)+E(f11(a1,x8981),f8(a1,f4(a1))) % 4.97/4.86 [899]E(x8991,f3(a99))+P11(a99,f3(a99),x8991)+E(f11(a99,x8991),f8(a99,f4(a99))) % 4.97/4.86 [1898]E(x18981,f3(a98))+E(x18981,f10(a98,f3(a98),f4(a98)))+~P11(a98,x18981,f10(a98,f10(a98,f3(a98),f4(a98)),f4(a98))) % 4.97/4.86 [966]E(x9661,x9662)+P11(a98,x9662,x9661)+P11(a98,x9661,x9662) % 4.97/4.86 [967]E(x9671,x9672)+P11(a99,x9672,x9671)+P11(a99,x9671,x9672) % 4.97/4.86 [1040]E(x10401,x10402)+P11(a1,x10401,x10402)+~P10(a1,x10401,x10402) % 4.97/4.86 [1043]E(x10431,x10432)+P11(a98,x10431,x10432)+~P10(a98,x10431,x10432) % 4.97/4.86 [1044]E(x10441,x10442)+P11(a99,x10441,x10442)+~P10(a99,x10441,x10442) % 4.97/4.86 [1109]E(x11091,x11092)+~P10(a1,x11092,x11091)+~P10(a1,x11091,x11092) % 4.97/4.86 [1110]E(x11101,x11102)+~P10(a98,x11102,x11101)+~P10(a98,x11101,x11102) % 4.97/4.86 [1111]E(x11111,x11112)+~P10(a99,x11112,x11111)+~P10(a99,x11111,x11112) % 4.97/4.86 [744]~P25(x7441)+~E(x7442,f3(x7441))+E(f8(x7441,x7442),x7442) % 4.97/4.86 [751]~P1(x7511)+~E(x7512,f3(x7511))+E(f23(x7511,x7512),f3(a1)) % 4.97/4.86 [752]~P27(x7521)+~E(f3(x7521),x7522)+E(f8(x7521,x7522),f3(x7521)) % 4.97/4.86 [753]~P4(x7531)+~E(x7532,f3(x7531))+E(f5(x7531,x7532),f3(x7531)) % 4.97/4.86 [754]~P1(x7541)+~E(x7542,f3(x7541))+E(f11(x7541,x7542),f3(x7541)) % 4.97/4.86 [755]~P49(x7551)+~E(x7552,f3(x7551))+E(f11(x7551,x7552),f3(x7551)) % 4.97/4.86 [756]~P35(x7561)+~E(x7562,f3(x7561))+E(f11(x7561,x7562),f3(x7561)) % 4.97/4.86 [757]~P27(x7571)+~E(x7572,f3(x7571))+E(f8(x7571,x7572),f3(x7571)) % 4.97/4.86 [759]~P25(x7592)+~E(f8(x7592,x7591),x7591)+E(x7591,f3(x7592)) % 4.97/4.86 [766]~P1(x7662)+E(x7661,f3(x7662))+~E(f23(x7662,x7661),f3(a1)) % 4.97/4.86 [767]~P4(x7672)+~E(f5(x7672,x7671),f3(x7672))+E(x7671,f3(x7672)) % 4.97/4.86 [768]~P1(x7682)+~E(f11(x7682,x7681),f3(x7682))+E(x7681,f3(x7682)) % 4.97/4.86 [769]~P49(x7692)+~E(f11(x7692,x7691),f3(x7692))+E(x7691,f3(x7692)) % 4.97/4.86 [770]~P27(x7702)+~E(f8(x7702,x7701),f3(x7702))+E(x7701,f3(x7702)) % 4.97/4.86 [771]~P27(x7711)+~E(f8(x7711,x7712),f3(x7711))+E(f3(x7711),x7712) % 4.97/4.86 [824]~E(x8242,f3(a98))+~E(x8241,f3(a98))+E(f10(a98,x8241,x8242),f3(a98)) % 4.97/4.86 [847]~P9(x8472)+E(f6(x8472,x8471,x8471),f4(x8472))+E(x8471,f3(x8472)) % 4.97/4.86 [861]~P25(x8611)+~E(x8612,f3(x8611))+E(f10(x8611,x8612,x8612),f3(x8611)) % 4.97/4.86 [876]~P20(x8761)+P11(x8761,x8762,f3(x8761))+E(f5(x8761,x8762),x8762) % 4.97/4.86 [921]~P1(x9212)+E(x9211,f3(x9212))+P11(a1,f3(a1),f23(x9212,x9211)) % 4.97/4.86 [924]~P49(x9241)+P11(x9241,f3(x9241),x9242)+~E(f11(x9241,x9242),f4(x9241)) % 4.97/4.86 [934]~P1(x9341)+~E(x9342,f3(x9341))+P10(a1,f23(x9341,x9342),f3(a1)) % 4.97/4.86 [940]~P4(x9402)+P11(x9402,f3(x9402),f5(x9402,x9401))+E(x9401,f3(x9402)) % 4.97/4.86 [947]~P4(x9471)+P10(x9471,f5(x9471,x9472),f3(x9471))+~E(x9472,f3(x9471)) % 4.97/4.86 [951]~P25(x9512)+~E(f10(x9512,x9511,x9511),f3(x9512))+E(x9511,f3(x9512)) % 4.97/4.86 [970]~P1(x9702)+~P13(x9702,x9701)+P11(a1,f3(a1),f28(x9701,x9702)) % 4.97/4.86 [971]~P1(x9712)+~P13(x9712,x9711)+P11(a1,f3(a1),f50(x9711,x9712)) % 4.97/4.86 [972]~P1(x9722)+~P13(x9722,x9721)+P11(a1,f3(a1),f52(x9721,x9722)) % 4.97/4.86 [973]~P1(x9732)+~P13(x9732,x9731)+P11(a1,f3(a1),f55(x9731,x9732)) % 4.97/4.86 [992]~P4(x9921)+~P10(x9921,f3(x9921),x9922)+E(f5(x9921,x9922),x9922) % 4.97/4.86 [993]~P4(x9931)+~P11(x9931,f3(x9931),x9932)+E(f5(x9931,x9932),x9932) % 4.97/4.86 [1003]~P49(x10031)+~P11(x10031,f3(x10031),x10032)+E(f11(x10031,x10032),f4(x10031)) % 4.97/4.86 [1010]~P43(x10101)+P14(x10101,x10102)+P10(a98,f29(x10102,x10101),f47(x10102,x10101)) % 4.97/4.86 [1011]~P43(x10111)+P15(x10111,x10112)+P10(a98,f59(x10112,x10111),f65(x10112,x10111)) % 4.97/4.86 [1017]~P4(x10171)+~P10(x10171,x10172,f3(x10171))+E(f8(x10171,x10172),f5(x10171,x10172)) % 4.97/4.86 [1018]~P4(x10181)+~P11(x10181,x10182,f3(x10181))+E(f8(x10181,x10182),f5(x10181,x10182)) % 4.97/4.86 [1019]~P20(x10191)+~P11(x10191,x10192,f3(x10191))+E(f8(x10191,x10192),f5(x10191,x10192)) % 4.97/4.86 [1046]~P1(x10462)+E(x10461,f3(x10462))+~P10(a1,f23(x10462,x10461),f3(a1)) % 4.97/4.86 [1052]~P1(x10522)+~E(x10521,f3(x10522))+~P11(a1,f3(a1),f23(x10522,x10521)) % 4.97/4.86 [1062]~P4(x10622)+~P10(x10622,f5(x10622,x10621),f3(x10622))+E(x10621,f3(x10622)) % 4.97/4.86 [1089]~P4(x10892)+~P11(x10892,f3(x10892),f5(x10892,x10891))+~E(x10891,f3(x10892)) % 4.97/4.86 [1123]E(x11231,x11232)+~E(f7(a98,x11232,x11231),f3(a98))+~E(f7(a98,x11231,x11232),f3(a98)) % 4.97/4.86 [1158]~P25(x11581)+~P10(x11581,x11582,f3(x11581))+P10(x11581,x11582,f8(x11581,x11582)) % 4.97/4.86 [1159]~P49(x11591)+~P11(x11591,x11592,f3(x11591))+P11(x11591,x11592,f8(x11591,x11592)) % 4.97/4.86 [1160]~P25(x11601)+~P10(x11601,f3(x11601),x11602)+P10(x11601,f8(x11601,x11602),x11602) % 4.97/4.86 [1161]~P25(x11611)+~P11(x11611,f3(x11611),x11612)+P11(x11611,f8(x11611,x11612),x11612) % 4.97/4.86 [1174]~P30(x11741)+~P10(x11741,x11742,f3(x11741))+P10(x11741,f3(x11741),f8(x11741,x11742)) % 4.97/4.86 [1175]~P30(x11751)+~P11(x11751,x11752,f3(x11751))+P11(x11751,f3(x11751),f8(x11751,x11752)) % 4.97/4.86 [1176]~P49(x11761)+~P11(x11761,f3(x11761),x11762)+P11(x11761,f3(x11761),f11(x11761,x11762)) % 4.97/4.86 [1177]~P49(x11771)+~P11(x11771,x11772,f3(x11771))+P11(x11771,f11(x11771,x11772),f3(x11771)) % 4.97/4.86 [1178]~P30(x11781)+~P10(x11781,f3(x11781),x11782)+P10(x11781,f8(x11781,x11782),f3(x11781)) % 4.97/4.86 [1179]~P30(x11791)+~P11(x11791,f3(x11791),x11792)+P11(x11791,f8(x11791,x11792),f3(x11791)) % 4.97/4.86 [1183]~P25(x11831)+~P10(x11831,x11832,f8(x11831,x11832))+P10(x11831,x11832,f3(x11831)) % 4.97/4.86 [1184]~P49(x11841)+~P11(x11841,x11842,f8(x11841,x11842))+P11(x11841,x11842,f3(x11841)) % 4.97/4.86 [1185]~P25(x11851)+~P10(x11851,f8(x11851,x11852),x11852)+P10(x11851,f3(x11851),x11852) % 4.97/4.86 [1186]~P25(x11861)+~P11(x11861,f8(x11861,x11862),x11862)+P11(x11861,f3(x11861),x11862) % 4.97/4.86 [1204]~P30(x12041)+~P10(x12041,f3(x12041),f8(x12041,x12042))+P10(x12041,x12042,f3(x12041)) % 4.97/4.86 [1205]~P30(x12051)+~P11(x12051,f3(x12051),f8(x12051,x12052))+P11(x12051,x12052,f3(x12051)) % 4.97/4.86 [1206]~P49(x12061)+~P11(x12061,f11(x12061,x12062),f3(x12061))+P11(x12061,x12062,f3(x12061)) % 4.97/4.86 [1207]~P49(x12071)+~P11(x12071,f3(x12071),f11(x12071,x12072))+P11(x12071,f3(x12071),x12072) % 4.97/4.86 [1208]~P30(x12081)+~P10(x12081,f8(x12081,x12082),f3(x12081))+P10(x12081,f3(x12081),x12082) % 4.97/4.86 [1209]~P30(x12091)+~P11(x12091,f8(x12091,x12092),f3(x12091))+P11(x12091,f3(x12091),x12092) % 4.97/4.86 [1253]~P11(a99,x12532,x12531)+~P10(a99,x12531,f3(a99))+E(f6(a99,x12531,x12532),f3(a99)) % 4.97/4.86 [1256]~P11(a99,x12561,x12562)+~P10(a99,f3(a99),x12561)+E(f6(a99,x12561,x12562),f3(a99)) % 4.97/4.86 [1350]~P10(a98,f12(x13501),x13502)+P10(a1,x13501,f22(a98,x13502))+~P10(a1,f3(a1),x13501) % 4.97/4.86 [1351]~P10(a98,x13511,f20(x13512))+P10(a1,f22(a98,x13511),x13512)+~P10(a1,f3(a1),x13512) % 4.97/4.86 [1352]~P10(a99,f3(a99),x13522)+~P10(a99,f3(a99),x13521)+P10(a99,f3(a99),f16(x13521,x13522)) % 4.97/4.86 [1353]~P11(a1,f3(a1),x13531)+~P11(a98,f3(a98),x13532)+P11(a1,f3(a1),f60(x13531,x13532)) % 4.97/4.86 [1354]~P11(a1,f3(a1),x13541)+~P11(a98,f3(a98),x13542)+P11(a1,f3(a1),f64(x13541,x13542)) % 4.97/4.86 [1366]P11(a98,f20(x13661),x13662)+~P11(a1,x13661,f22(a98,x13662))+~P10(a1,f3(a1),x13661) % 4.97/4.86 [1369]~P25(x13691)+~P10(x13691,f3(x13691),x13692)+P10(x13691,f3(x13691),f10(x13691,x13692,x13692)) % 4.97/4.86 [1370]~P25(x13701)+~P11(x13701,f3(x13701),x13702)+P11(x13701,f3(x13701),f10(x13701,x13702,x13702)) % 4.97/4.86 [1371]~P25(x13711)+~P10(x13711,x13712,f3(x13711))+P10(x13711,f10(x13711,x13712,x13712),f3(x13711)) % 4.97/4.86 [1372]~P49(x13721)+~P11(x13721,x13722,f3(x13721))+P11(x13721,f10(x13721,x13722,x13722),f3(x13721)) % 4.97/4.86 [1373]~P25(x13731)+~P11(x13731,x13732,f3(x13731))+P11(x13731,f10(x13731,x13732,x13732),f3(x13731)) % 4.97/4.86 [1389]~P10(a1,x13891,x13892)+~P10(a1,f8(a1,x13892),x13891)+P10(a1,f5(a1,x13891),x13892) % 4.97/4.86 [1482]~P25(x14821)+~P10(x14821,f10(x14821,x14822,x14822),f3(x14821))+P10(x14821,x14822,f3(x14821)) % 4.97/4.86 [1483]~P49(x14831)+~P11(x14831,f10(x14831,x14832,x14832),f3(x14831))+P11(x14831,x14832,f3(x14831)) % 4.97/4.86 [1484]~P25(x14841)+~P11(x14841,f10(x14841,x14842,x14842),f3(x14841))+P11(x14841,x14842,f3(x14841)) % 4.97/4.86 [1485]~P25(x14851)+~P10(x14851,f3(x14851),f10(x14851,x14852,x14852))+P10(x14851,f3(x14851),x14852) % 4.97/4.86 [1486]~P25(x14861)+~P11(x14861,f3(x14861),f10(x14861,x14862,x14862))+P11(x14861,f3(x14861),x14862) % 4.97/4.86 [1491]~P10(a99,x14912,x14911)+~P11(a99,f3(a99),x14912)+P11(a99,f3(a99),f6(a99,x14911,x14912)) % 4.97/4.86 [1494]P11(a98,f7(a98,x14941,x14942),x14941)+~P11(a98,f3(a98),x14941)+~P11(a98,f3(a98),x14942) % 4.97/4.86 [1495]P11(a98,f6(a98,x14951,x14952),x14951)+~P11(a98,f3(a98),x14951)+~P11(a98,f4(a98),x14952) % 4.97/4.86 [1496]P11(a99,f6(a99,x14961,x14962),x14961)+~P11(a99,f3(a99),x14961)+~P11(a99,f4(a99),x14962) % 4.97/4.86 [1500]~P10(a99,x15001,f3(a99))+~P11(a99,x15002,f3(a99))+P10(a99,f3(a99),f6(a99,x15001,x15002)) % 4.97/4.86 [1501]~P10(a99,f3(a99),x15012)+~P10(a99,f3(a99),x15011)+P10(a99,f3(a99),f10(a99,x15011,x15012)) % 4.97/4.86 [1502]~P10(a99,f3(a99),x15022)+~P10(a99,f3(a99),x15021)+P10(a99,f3(a99),f6(a99,x15021,x15022)) % 4.97/4.86 [1503]~P10(a99,f3(a99),x15031)+~P11(a99,f3(a99),x15032)+P10(a99,f3(a99),f6(a99,x15031,x15032)) % 4.97/4.86 [1504]~P10(a99,x15041,f3(a99))+~P11(a99,f3(a99),x15042)+P10(a99,f6(a99,x15041,x15042),f3(a99)) % 4.97/4.86 [1505]~P11(a99,x15052,f3(a99))+~P10(a99,f3(a99),x15051)+P10(a99,f6(a99,x15051,x15052),f3(a99)) % 4.97/4.86 [1506]~P11(a99,x15062,f3(a99))+~P11(a99,f3(a99),x15061)+P11(a99,f6(a99,x15061,x15062),f3(a99)) % 4.97/4.86 [1508]~P11(a99,x15081,f3(a99))+~P11(a99,f3(a99),x15082)+P11(a99,f6(a99,x15081,x15082),f3(a99)) % 4.97/4.86 [1568]P11(a98,f3(a98),x15681)+P11(a98,f3(a98),x15682)+~P11(a98,f3(a98),f10(a98,x15682,x15681)) % 4.97/4.86 [1598]P10(a99,x15981,x15982)+~P11(a99,f3(a99),x15981)+~P11(a99,f3(a99),f6(a99,x15982,x15981)) % 4.97/4.86 [1599]P10(a99,x15991,x15992)+~P10(a99,f3(a99),x15992)+~P11(a99,f3(a99),f6(a99,x15992,x15991)) % 4.97/4.86 [1600]P10(a99,x16001,f3(a99))+~P11(a99,x16002,f3(a99))+~P10(a99,f3(a99),f6(a99,x16001,x16002)) % 4.97/4.86 [1601]P11(a99,x16011,f3(a99))+~P11(a99,f3(a99),x16012)+~P11(a99,f6(a99,x16011,x16012),f3(a99)) % 4.97/4.86 [1602]P11(a99,f3(a99),x16021)+~P11(a99,x16022,f3(a99))+~P11(a99,f6(a99,x16021,x16022),f3(a99)) % 4.97/4.86 [1603]P10(a99,f3(a99),x16031)+~P11(a99,f3(a99),x16032)+~P10(a99,f3(a99),f6(a99,x16031,x16032)) % 4.97/4.86 [1604]P11(a99,f3(a99),x16041)+~P10(a99,f3(a99),x16042)+~P11(a99,f3(a99),f6(a99,x16042,x16041)) % 4.97/4.86 [786]~P1(x7862)+E(x7861,f3(x7862))+E(f23(x7862,f11(x7862,x7861)),f4(a1)) % 4.97/4.86 [787]~P49(x7871)+~E(x7872,f3(f101(x7871)))+E(f11(f101(x7871),x7872),f3(f101(x7871))) % 4.97/4.86 [793]~P1(x7931)+~E(x7932,f3(x7931))+E(f23(x7931,f11(x7931,x7932)),f3(a1)) % 4.97/4.86 [962]~P49(x9621)+P11(f101(x9621),x9622,f3(f101(x9621)))+E(f5(f101(x9621),x9622),x9622) % 4.97/4.86 [1004]~P49(x10041)+P11(x10041,x10042,f3(x10041))+~E(f11(x10041,x10042),f8(x10041,f4(x10041))) % 4.97/4.86 [1031]~P49(x10311)+~P11(x10311,x10312,f3(x10311))+E(f11(x10311,x10312),f8(x10311,f4(x10311))) % 4.97/4.86 [1096]P11(a98,f40(x10962,x10961),x10962)+~P77(f25(x10961,x10962))+P77(f25(x10961,f3(a98))) % 4.97/4.86 [1116]~P49(x11161)+~P11(f101(x11161),x11162,f3(f101(x11161)))+E(f8(f101(x11161),x11162),f5(f101(x11161),x11162)) % 4.97/4.86 [1156]E(x11561,f3(a98))+E(x11562,f3(a98))+~E(f10(a98,x11562,x11561),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1157]E(x11571,f3(a98))+E(x11572,f3(a98))+~E(f10(a98,f3(a98),f4(a98)),f10(a98,x11572,x11571)) % 4.97/4.86 [1213]~E(x12132,f3(a98))+~E(x12131,f10(a98,f3(a98),f4(a98)))+E(f10(a98,x12131,x12132),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1214]~E(x12141,f3(a98))+~E(x12142,f10(a98,f3(a98),f4(a98)))+E(f10(a98,x12141,x12142),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1215]~E(x12152,f3(a98))+~E(x12151,f10(a98,f3(a98),f4(a98)))+E(f10(a98,f3(a98),f4(a98)),f10(a98,x12151,x12152)) % 4.97/4.86 [1216]~E(x12161,f3(a98))+~E(x12162,f10(a98,f3(a98),f4(a98)))+E(f10(a98,f3(a98),f4(a98)),f10(a98,x12161,x12162)) % 4.97/4.86 [1289]E(x12891,f3(a98))+E(x12891,f10(a98,f3(a98),f4(a98)))+~E(f10(a98,x12892,x12891),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1290]E(x12901,f3(a98))+E(x12901,f10(a98,f3(a98),f4(a98)))+~E(f10(a98,x12901,x12902),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1291]E(x12911,f3(a98))+E(x12911,f10(a98,f3(a98),f4(a98)))+~E(f10(a98,f3(a98),f4(a98)),f10(a98,x12912,x12911)) % 4.97/4.86 [1292]E(x12921,f3(a98))+E(x12921,f10(a98,f3(a98),f4(a98)))+~E(f10(a98,f3(a98),f4(a98)),f10(a98,x12921,x12922)) % 4.97/4.86 [1405]E(x14051,f10(a98,f3(a98),f4(a98)))+E(x14052,f10(a98,f3(a98),f4(a98)))+~E(f10(a98,x14051,x14052),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1406]E(x14061,f10(a98,f3(a98),f4(a98)))+E(x14062,f10(a98,f3(a98),f4(a98)))+~E(f10(a98,f3(a98),f4(a98)),f10(a98,x14061,x14062)) % 4.97/4.86 [1420]~P11(a98,x14201,x14202)+P11(a98,f10(a98,x14201,f4(a98)),x14202)+E(f10(a98,x14201,f4(a98)),x14202) % 4.97/4.86 [1437]E(x14371,x14372)+P11(a98,x14371,x14372)+~P11(a98,x14371,f10(a98,x14372,f4(a98))) % 4.97/4.86 [1438]E(x14381,x14382)+P11(a99,x14381,x14382)+~P11(a99,x14381,f10(a99,x14382,f4(a99))) % 4.97/4.86 [1510]P11(a98,f81(x15102,x15101),x15102)+E(x15101,f3(a98))+~P11(a98,x15101,f10(a98,x15102,f4(a98))) % 4.97/4.86 [1515]E(x15151,x15152)+~P10(a98,x15152,x15151)+~P11(a98,x15151,f10(a98,x15152,f4(a98))) % 4.97/4.86 [1516]E(x15161,f3(a98))+~P11(a98,x15161,f10(a98,x15162,f4(a98)))+E(f10(a98,f81(x15162,x15161),f4(a98)),x15161) % 4.97/4.86 [1534]~P43(x15341)+P14(x15341,x15342)+~P10(x15341,f25(x15342,f47(x15342,x15341)),f25(x15342,f29(x15342,x15341))) % 4.97/4.86 [1535]~P43(x15351)+P15(x15351,x15352)+~P10(x15351,f25(x15352,f59(x15352,x15351)),f25(x15352,f65(x15352,x15351))) % 4.97/4.86 [1578]P10(a98,x15781,x15782)+~P10(a98,x15781,f10(a98,x15782,f4(a98)))+E(x15781,f10(a98,x15782,f4(a98))) % 4.97/4.86 [1711]E(f20(x17111),x17112)+~P10(a1,f22(a98,x17112),x17111)+~P11(a1,x17111,f10(a1,f22(a98,x17112),f4(a1))) % 4.97/4.86 [1759]~P11(a1,f22(a98,x17592),x17591)+~P10(a1,x17591,f10(a1,f22(a98,x17592),f4(a1)))+E(f12(x17591),f10(a98,x17592,f4(a98))) % 4.97/4.86 [1822]P11(a98,x18221,x18222)+~P11(a98,f3(a98),x18222)+E(f10(a98,f6(a98,f7(a98,x18221,x18222),x18222),f4(a98)),f6(a98,x18221,x18222)) % 4.97/4.86 [803]~E(x8032,f4(a98))+~E(x8031,f4(a98))+E(f25(f25(f9(a98),x8031),x8032),f4(a98)) % 4.97/4.86 [854]~P71(x8541)+~E(x8542,f4(x8541))+E(f25(f25(f9(x8541),x8542),x8542),f4(x8541)) % 4.97/4.86 [874]E(x8741,f4(a98))+E(x8742,f3(a98))+~E(f25(f25(f9(a98),x8742),x8741),x8742) % 4.97/4.86 [877]E(x8771,f3(a98))+E(x8772,f3(a98))+~E(f25(f25(f9(a98),x8772),x8771),f3(a98)) % 4.97/4.86 [932]~P71(x9321)+~E(x9322,f8(x9321,f4(x9321)))+E(f25(f25(f9(x9321),x9322),x9322),f4(x9321)) % 4.97/4.86 [1105]E(x11051,f4(a99))+~P11(a99,f3(a99),x11052)+~E(f25(f25(f9(a99),x11052),x11051),f4(a99)) % 4.97/4.86 [1106]E(x11061,f4(a99))+~P11(a99,f3(a99),x11061)+~E(f25(f25(f9(a99),x11061),x11062),f4(a99)) % 4.97/4.86 [1181]~P44(x11811)+~P75(x11811)+E(f25(f25(f13(x11811),f3(x11811)),f10(a98,x11812,f4(a98))),f3(x11811)) % 4.97/4.86 [1257]E(x12571,f3(a98))+E(x12572,f10(a98,f3(a98),f4(a98)))+~E(f25(f25(f13(a98),x12572),x12571),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1378]~P11(a1,f3(a1),x13781)+~P11(a98,f3(a98),x13782)+E(f25(f25(f13(a1),f60(x13781,x13782)),x13782),x13781) % 4.97/4.86 [1379]~P11(a1,f3(a1),x13791)+~P11(a98,f3(a98),x13792)+E(f25(f25(f13(a1),f64(x13791,x13792)),x13792),x13791) % 4.97/4.86 [1399]E(x13991,f3(a98))+P11(a98,f3(a98),x13992)+~P11(a98,f3(a98),f25(f25(f13(a98),x13992),x13991)) % 4.97/4.86 [1400]~E(x14002,f10(a98,f3(a98),f4(a98)))+~E(x14001,f10(a98,f3(a98),f4(a98)))+E(f25(f25(f9(a98),x14001),x14002),f10(a98,f3(a98),f4(a98))) % 4.97/4.86 [1457]~P10(a99,f3(a99),x14572)+~P10(a99,f3(a99),x14571)+P10(a99,f3(a99),f25(f25(f9(a99),x14571),x14572)) % 4.97/4.86 [1458]~P11(a1,f3(a1),x14582)+~P11(a1,f3(a1),x14581)+P11(a1,f3(a1),f25(f25(f9(a1),x14581),x14582)) % 4.97/4.86 [1459]~P11(a98,f3(a98),x14592)+~P11(a98,f3(a98),x14591)+P11(a98,f3(a98),f25(f25(f9(a98),x14591),x14592)) % 4.97/4.86 [1587]E(x15871,f3(a98))+~E(x15872,f3(a99))+~P11(a99,f3(a99),f25(f25(f13(a99),f5(a99,x15872)),x15871)) % 4.97/4.86 [1672]~P77(f25(x16721,x16722))+P77(f25(x16721,f3(a98)))+P77(f25(x16721,f10(a98,f40(x16722,x16721),f4(a98)))) % 4.97/4.86 [1889]~P11(a98,f10(a98,f3(a98),f4(a98)),x18892)+~P11(a98,f10(a98,f3(a98),f4(a98)),x18891)+P11(a98,x18891,f25(f25(f9(a98),x18892),x18891)) % 4.97/4.86 [1890]~P11(a98,f10(a98,f3(a98),f4(a98)),x18902)+~P11(a98,f10(a98,f3(a98),f4(a98)),x18901)+P11(a98,x18901,f25(f25(f9(a98),x18901),x18902)) % 4.97/4.86 [1920]~P10(a98,f10(a98,f3(a98),f4(a98)),x19202)+~P10(a98,f10(a98,f3(a98),f4(a98)),x19201)+P10(a98,f10(a98,f3(a98),f4(a98)),f25(f25(f9(a98),x19201),x19202)) % 4.97/4.86 [1921]~P11(a98,f10(a98,f3(a98),f4(a98)),x19211)+~P11(a98,f10(a98,f3(a98),f4(a98)),x19212)+P11(a98,f10(a98,f3(a98),f4(a98)),f25(f25(f9(a98),x19211),x19212)) % 4.97/4.86 [915]~P54(x9152)+E(x9151,f3(a98))+E(f25(f15(x9152,f4(f101(x9152))),x9151),f3(x9152)) % 4.97/4.86 [918]~P54(x9181)+~E(x9182,f3(a98))+E(f25(f15(x9181,f4(f101(x9181))),x9182),f4(x9181)) % 4.97/4.86 [1336]~E(x13362,f3(a1))+~E(x13361,f3(a1))+E(f10(a1,f25(f25(f9(a1),x13361),x13361),f25(f25(f9(a1),x13362),x13362)),f3(a1)) % 4.97/4.86 [1498]~P11(a1,f3(a1),x14982)+~P11(a1,f3(a1),x14981)+E(f21(f25(f25(f9(a1),x14981),x14982)),f10(a1,f21(x14981),f21(x14982))) % 4.97/4.86 [1816]~P10(a1,f3(a1),x18162)+~P10(a1,f3(a1),x18161)+P10(a98,f25(f25(f9(a98),f20(x18161)),f20(x18162)),f20(f25(f25(f9(a1),x18161),x18162))) % 4.97/4.86 [1859]~P10(a1,f3(a1),x18591)+~P11(a1,f3(a1),x18592)+P10(a1,f25(f25(f9(a1),f22(a98,f88(x18591,x18592))),x18592),x18591) % 4.97/4.86 [1901]~P11(a98,f3(a98),x19012)+~P11(a99,f3(a99),x19011)+E(f6(a99,f25(f25(f13(a99),x19011),x19012),x19011),f25(f25(f13(a99),x19011),f7(a98,x19012,f10(a98,f3(a98),f4(a98))))) % 4.97/4.86 [1986]~P10(a1,f3(a1),x19861)+~P11(a1,f3(a1),x19862)+P11(a1,x19861,f25(f25(f9(a1),f22(a98,f10(a98,f88(x19861,x19862),f4(a98)))),x19862)) % 4.97/4.86 [815]~E(x8152,x8153)+~P37(x8151)+P10(x8151,x8152,x8153) % 4.97/4.86 [817]~E(x8172,x8173)+~P43(x8171)+P10(x8171,x8172,x8173) % 4.97/4.86 [930]~P11(x9303,x9301,x9302)+~E(x9301,x9302)+~P39(x9303) % 4.97/4.86 [931]~P11(x9313,x9311,x9312)+~E(x9311,x9312)+~P43(x9313) % 4.97/4.86 [986]P10(x9861,x9863,x9862)+~P39(x9861)+P10(x9861,x9862,x9863) % 4.97/4.86 [991]P11(x9911,x9913,x9912)+~P39(x9911)+P10(x9911,x9912,x9913) % 4.97/4.86 [1059]~P37(x10591)+~P11(x10591,x10592,x10593)+P10(x10591,x10592,x10593) % 4.97/4.86 [1061]~P43(x10611)+~P11(x10611,x10612,x10613)+P10(x10611,x10612,x10613) % 4.97/4.86 [1129]~P11(x11291,x11293,x11292)+~P37(x11291)+~P10(x11291,x11292,x11293) % 4.97/4.86 [1133]~P11(x11331,x11333,x11332)+~P37(x11331)+~P11(x11331,x11332,x11333) % 4.97/4.86 [1136]~P11(x11361,x11363,x11362)+~P39(x11361)+~P10(x11361,x11362,x11363) % 4.97/4.86 [1137]~P11(x11371,x11373,x11372)+~P39(x11371)+~P11(x11371,x11372,x11373) % 4.97/4.86 [1138]~P11(x11381,x11383,x11382)+~P43(x11381)+~P11(x11381,x11382,x11383) % 4.97/4.86 [1238]~P10(a1,x12381,x12383)+P10(a1,x12381,x12382)+~P10(a1,x12383,x12382) % 4.97/4.86 [1239]~P10(a98,x12391,x12393)+P10(a98,x12391,x12392)+~P10(a98,x12393,x12392) % 4.97/4.86 [1240]~P10(a99,x12401,x12403)+P10(a99,x12401,x12402)+~P10(a99,x12403,x12402) % 4.97/4.86 [774]~P27(x7742)+~E(x7743,f8(x7742,x7741))+E(x7741,f8(x7742,x7743)) % 4.97/4.86 [776]~P27(x7761)+~E(f8(x7761,x7763),x7762)+E(f8(x7761,x7762),x7763) % 4.97/4.86 [779]~P34(x7793)+E(x7791,x7792)+~E(f15(x7793,x7791),f15(x7793,x7792)) % 4.97/4.86 [780]~P27(x7803)+E(x7801,x7802)+~E(f8(x7803,x7801),f8(x7803,x7802)) % 4.97/4.86 [781]~P41(x7813)+E(x7811,x7812)+~E(f8(x7813,x7811),f8(x7813,x7812)) % 4.97/4.86 [834]~E(x8342,x8343)+~P17(x8341)+E(f7(x8341,x8342,x8343),f3(x8341)) % 4.97/4.86 [835]~E(x8352,x8353)+~P27(x8351)+E(f7(x8351,x8352,x8353),f3(x8351)) % 4.97/4.86 [848]~P76(x8481)+~E(x8483,f3(x8481))+E(f10(x8481,x8482,x8483),x8482) % 4.97/4.86 [849]~E(x8492,x8493)+~P49(x8491)+P10(f101(x8491),x8492,x8493) % 4.97/4.86 [907]~P27(x9071)+~E(x9073,f8(x9071,x9072))+E(f10(x9071,x9072,x9073),f3(x9071)) % 4.97/4.86 [908]~P27(x9081)+~E(x9082,f8(x9081,x9083))+E(f10(x9081,x9082,x9083),f3(x9081)) % 4.97/4.86 [941]~P76(x9412)+~E(f10(x9412,x9413,x9411),x9413)+E(x9411,f3(x9412)) % 4.97/4.86 [945]~P17(x9453)+E(x9451,x9452)+~E(f7(x9453,x9451,x9452),f3(x9453)) % 4.97/4.86 [946]~P27(x9463)+E(x9461,x9462)+~E(f7(x9463,x9461,x9462),f3(x9463)) % 4.97/4.86 [981]~P27(x9812)+~E(f10(x9812,x9813,x9811),f3(x9812))+E(x9811,f8(x9812,x9813)) % 4.97/4.86 [982]~P27(x9822)+~E(f10(x9822,x9821,x9823),f3(x9822))+E(x9821,f8(x9822,x9823)) % 4.97/4.86 [983]~P27(x9831)+~E(f10(x9831,x9832,x9833),f3(x9831))+E(f8(x9831,x9832),x9833) % 4.97/4.86 [1169]~P4(x11691)+P10(x11691,x11692,x11693)+~P10(x11691,f5(x11691,x11692),x11693) % 4.97/4.86 [1170]~P49(x11701)+P11(x11701,x11702,x11703)+~P11(x11701,f5(x11701,x11702),x11703) % 4.97/4.86 [1193]~P30(x11931)+~P10(x11931,x11933,x11932)+P10(x11931,f8(x11931,x11932),f8(x11931,x11933)) % 4.97/4.86 [1195]~P41(x11951)+~P10(x11951,x11953,x11952)+P10(x11951,f8(x11951,x11952),f8(x11951,x11953)) % 4.97/4.86 [1196]~P30(x11961)+~P11(x11961,x11963,x11962)+P11(x11961,f8(x11961,x11962),f8(x11961,x11963)) % 4.97/4.86 [1219]~P30(x12191)+~P10(x12191,x12193,f8(x12191,x12192))+P10(x12191,x12192,f8(x12191,x12193)) % 4.97/4.86 [1221]~P30(x12211)+~P11(x12211,x12213,f8(x12211,x12212))+P11(x12211,x12212,f8(x12211,x12213)) % 4.97/4.86 [1223]~P30(x12231)+~P10(x12231,f8(x12231,x12233),x12232)+P10(x12231,f8(x12231,x12232),x12233) % 4.97/4.86 [1225]~P4(x12251)+~P10(x12251,f5(x12251,x12252),x12253)+P10(x12251,f8(x12251,x12252),x12253) % 4.97/4.86 [1227]~P30(x12271)+~P11(x12271,f8(x12271,x12273),x12272)+P11(x12271,f8(x12271,x12272),x12273) % 4.97/4.86 [1228]~P49(x12281)+~P11(x12281,f5(x12281,x12282),x12283)+P11(x12281,f8(x12281,x12282),x12283) % 4.97/4.86 [1243]~P10(a98,x12433,x12431)+~E(f7(a98,x12431,x12433),x12432)+E(x12431,f10(a98,x12432,x12433)) % 4.97/4.86 [1244]~P10(a98,x12442,x12441)+~E(x12441,f10(a98,x12443,x12442))+E(f7(a98,x12441,x12442),x12443) % 4.97/4.86 [1258]~P7(x12581)+P10(x12581,x12582,x12583)+P11(x12581,f3(x12581),f32(x12583,x12582,x12581)) % 4.97/4.86 [1259]~P8(x12591)+P10(x12591,x12592,x12593)+P11(x12591,f3(x12591),f36(x12593,x12592,x12591)) % 4.97/4.86 [1260]~P7(x12601)+P10(x12601,x12602,x12603)+P11(x12601,f32(x12603,x12602,x12601),f4(x12601)) % 4.97/4.86 [1261]~P30(x12611)+P10(x12611,x12612,x12613)+~P10(x12611,f8(x12611,x12613),f8(x12611,x12612)) % 4.97/4.86 [1262]~P41(x12621)+P10(x12621,x12622,x12623)+~P10(x12621,f8(x12621,x12623),f8(x12621,x12622)) % 4.97/4.86 [1263]~P30(x12631)+P11(x12631,x12632,x12633)+~P11(x12631,f8(x12631,x12633),f8(x12631,x12632)) % 4.97/4.86 [1355]~P30(x13551)+~P10(x13551,x13552,x13553)+P10(x13551,f7(x13551,x13552,x13553),f3(x13551)) % 4.97/4.86 [1356]~P30(x13561)+~P11(x13561,x13562,x13563)+P11(x13561,f7(x13561,x13562,x13563),f3(x13561)) % 4.97/4.86 [1461]~P30(x14611)+P10(x14611,x14612,x14613)+~P10(x14611,f7(x14611,x14612,x14613),f3(x14611)) % 4.97/4.86 [1462]~P30(x14621)+P11(x14621,x14622,x14623)+~P11(x14621,f7(x14621,x14622,x14623),f3(x14621)) % 4.97/4.86 [1479]~P11(a1,x14793,x14792)+~P11(a1,x14792,x14791)+P11(a1,f3(a1),f43(x14791,x14792,x14793)) % 4.97/4.86 [1480]~P11(a1,x14803,x14802)+~P11(a1,x14802,x14801)+P11(a1,f3(a1),f44(x14801,x14802,x14803)) % 4.97/4.86 [1660]~P11(a98,x16603,x16601)+~P11(a98,x16603,x16602)+P11(a98,f7(a98,x16601,x16602),f7(a98,x16601,x16603)) % 4.97/4.86 [1661]~P10(a98,x16612,x16611)+~P11(a98,x16611,x16613)+P11(a98,f7(a98,x16611,x16612),f7(a98,x16613,x16612)) % 4.97/4.86 [1665]~P10(a99,x16653,x16651)+P10(a99,f6(a99,x16651,x16652),f6(a99,x16653,x16652))+~P11(a99,x16652,f3(a99)) % 4.97/4.86 [1666]~P10(a98,x16663,x16662)+P10(a98,f6(a98,x16661,x16662),f6(a98,x16661,x16663))+~P11(a98,f3(a98),x16663) % 4.97/4.86 [1667]~P10(a99,x16671,x16673)+P10(a99,f6(a99,x16671,x16672),f6(a99,x16673,x16672))+~P11(a99,f3(a99),x16672) % 4.97/4.86 [1741]~P10(a98,x17413,x17412)+~P10(a98,f10(a98,x17411,x17413),x17412)+P10(a98,x17411,f7(a98,x17412,x17413)) % 4.97/4.86 [1742]~P10(a98,x17422,x17423)+~P10(a98,x17421,f7(a98,x17423,x17422))+P10(a98,f10(a98,x17421,x17422),x17423) % 4.97/4.86 [833]~P56(x8331)+~E(x8332,f3(f101(x8331)))+E(f25(f17(x8331,x8332),x8333),f3(x8331)) % 4.97/4.86 [964]~P56(x9641)+E(f18(x9641,x9642,x9643),f3(a98))+E(f25(f17(x9641,x9643),x9642),f3(x9641)) % 4.97/4.86 [1015]~P78(x10151,x10153,x10152)+~E(x10152,f3(a99))+P77(f25(x10151,f3(a99))) % 4.97/4.86 [1165]~P1(x11651)+~P13(x11651,x11652)+P10(a1,f23(x11651,f25(x11652,x11653)),f28(x11652,x11651)) % 4.97/4.86 [1166]~P1(x11661)+~P13(x11661,x11662)+P10(a1,f23(x11661,f25(x11662,x11663)),f55(x11662,x11661)) % 4.97/4.86 [1283]~P49(x12831)+~P11(f101(x12831),x12833,x12832)+P12(x12831,f7(f101(x12831),x12832,x12833)) % 4.97/4.86 [1380]~P49(x13801)+P10(f101(x13801),x13802,x13803)+~P12(x13801,f7(f101(x13801),x13803,x13802)) % 4.97/4.86 [1381]~P49(x13811)+P11(f101(x13811),x13812,x13813)+~P12(x13811,f7(f101(x13811),x13813,x13812)) % 4.97/4.86 [1418]~E(x14183,f3(a98))+P77(f25(x14181,f6(a98,x14182,x14183)))+~P77(f25(x14181,f3(a98))) % 4.97/4.86 [1481]~P11(a98,x14811,x14813)+~P11(a98,x14813,x14812)+P11(a98,f10(a98,x14811,f4(a98)),x14812) % 4.97/4.86 [1499]~P11(a98,x14993,x14992)+P11(a98,x14991,f10(a98,x14992,f4(a98)))+~E(x14991,f10(a98,x14993,f4(a98))) % 4.97/4.86 [1513]~P9(x15132)+E(x15131,f3(x15132))+E(f6(x15132,f10(x15132,x15133,x15131),x15131),f10(x15132,f6(x15132,x15133,x15131),f4(x15132))) % 4.97/4.86 [1514]~P9(x15142)+E(x15141,f3(x15142))+E(f6(x15142,f10(x15142,x15141,x15143),x15141),f10(x15142,f6(x15142,x15143,x15141),f4(x15142))) % 4.97/4.86 [1612]P11(a98,f90(x16121,x16122,x16123),x16121)+E(x16121,f3(a98))+P77(f25(x16123,f6(a98,x16122,x16121))) % 4.97/4.86 [1634]~E(x16342,f3(a98))+~P77(f25(x16341,f6(a98,x16343,x16342)))+P77(f25(x16341,f3(a98))) % 4.97/4.86 [1653]E(x16531,f3(a1))+~P10(a1,x16532,f3(a1))+~P10(a1,f5(a1,x16531),f25(f25(f9(a1),x16532),f5(a1,x16533))) % 4.97/4.86 [1709]P11(a98,x17092,x17091)+E(f10(a98,x17091,f37(x17091,x17092,x17093)),x17092)+P77(f25(x17093,f7(a98,x17092,x17091))) % 4.97/4.86 [1710]P11(a98,x17102,x17101)+E(f10(a98,x17101,f38(x17101,x17102,x17103)),x17102)+P77(f25(x17103,f7(a98,x17102,x17101))) % 4.97/4.86 [1716]P11(a98,f90(x17161,x17162,x17163),x17161)+P77(f25(x17163,f6(a98,x17162,x17161)))+~P77(f25(x17163,f3(a98))) % 4.97/4.86 [1717]E(f10(a98,x17171,f37(x17171,x17172,x17173)),x17172)+P77(f25(x17173,f7(a98,x17172,x17171)))+~P77(f25(x17173,f3(a98))) % 4.97/4.86 [1718]E(f10(a98,x17181,f38(x17181,x17182,x17183)),x17182)+P77(f25(x17183,f7(a98,x17182,x17181)))+~P77(f25(x17183,f3(a98))) % 4.97/4.86 [1725]~P34(x17253)+E(x17251,x17252)+~E(f25(f15(x17253,x17251),f39(x17252,x17251,x17253)),f25(f15(x17253,x17252),f39(x17252,x17251,x17253))) % 4.97/4.86 [1726]~P10(a98,x17262,x17263)+~P10(a98,x17262,x17261)+E(f7(a98,f7(a98,x17261,x17262),f7(a98,x17263,x17262)),f7(a98,x17261,x17263)) % 4.97/4.86 [1746]~P11(a98,x17462,x17463)+~P77(f25(x17461,f7(a98,x17462,x17463)))+P77(f25(x17461,f3(a98))) % 4.97/4.86 [1862]E(x18621,f3(a98))+~P77(f25(x18622,f91(x18621,x18623,x18622)))+P77(f25(x18622,f6(a98,x18623,x18621))) % 4.97/4.86 [1879]~P8(x18791)+P10(x18791,x18792,x18793)+~P10(x18791,x18792,f10(x18791,x18793,f36(x18793,x18792,x18791))) % 4.97/4.86 [1887]P11(a98,x18871,x18872)+~P77(f25(x18873,f37(x18872,x18871,x18873)))+P77(f25(x18873,f7(a98,x18871,x18872))) % 4.97/4.86 [1888]P11(a98,x18881,x18882)+~P77(f25(x18883,f38(x18882,x18881,x18883)))+P77(f25(x18883,f7(a98,x18881,x18882))) % 4.97/4.86 [1892]~P77(f25(x18921,f37(x18923,x18922,x18921)))+P77(f25(x18921,f7(a98,x18922,x18923)))+~P77(f25(x18921,f3(a98))) % 4.97/4.86 [1893]~P77(f25(x18931,f38(x18933,x18932,x18931)))+P77(f25(x18931,f7(a98,x18932,x18933)))+~P77(f25(x18931,f3(a98))) % 4.97/4.86 [1894]~P77(f25(x18941,f91(x18943,x18942,x18941)))+P77(f25(x18941,f6(a98,x18942,x18943)))+~P77(f25(x18941,f3(a98))) % 4.97/4.86 [1902]E(x19021,f3(a98))+E(f10(a98,f25(f25(f9(a98),x19021),f91(x19021,x19022,x19023)),f90(x19021,x19022,x19023)),x19022)+P77(f25(x19023,f6(a98,x19022,x19021))) % 4.97/4.86 [1915]E(f10(a98,f25(f25(f9(a98),x19151),f91(x19151,x19152,x19153)),f90(x19151,x19152,x19153)),x19152)+P77(f25(x19153,f6(a98,x19152,x19151)))+~P77(f25(x19153,f3(a98))) % 4.97/4.86 [836]~P44(x8361)+~E(x8363,f3(a98))+E(f25(f25(f13(x8361),x8362),x8363),f4(x8361)) % 4.97/4.86 [852]~P69(x8521)+~E(x8523,f3(x8521))+E(f25(f25(f9(x8521),x8522),x8523),f3(x8521)) % 4.97/4.86 [853]~P69(x8531)+~E(x8532,f3(x8531))+E(f25(f25(f9(x8531),x8532),x8533),f3(x8531)) % 4.97/4.86 [943]~P71(x9432)+E(x9431,f3(x9432))+~E(f25(f25(f13(x9432),x9431),x9433),f3(x9432)) % 4.97/4.86 [1020]~P56(x10201)+~E(x10202,f8(x10201,x10203))+E(f25(f25(f9(x10201),x10202),x10202),f25(f25(f9(x10201),x10203),x10203)) % 4.97/4.86 [1079]E(x10791,x10792)+E(x10793,f3(a1))+~E(f25(f25(f9(a1),x10793),x10791),f25(f25(f9(a1),x10793),x10792)) % 4.97/4.86 [1081]E(x10811,x10812)+E(x10813,f3(a98))+~E(f25(f25(f9(a98),x10813),x10811),f25(f25(f9(a98),x10813),x10812)) % 4.97/4.86 [1082]E(x10821,x10822)+E(x10823,f3(a1))+~E(f25(f25(f9(a1),x10821),x10823),f25(f25(f9(a1),x10822),x10823)) % 4.97/4.86 [1083]E(x10831,x10832)+E(x10833,f3(a98))+~E(f25(f25(f9(a98),x10831),x10833),f25(f25(f9(a98),x10832),x10833)) % 4.97/4.86 [1281]E(x12811,x12812)+~P11(a98,f3(a98),x12813)+~E(f25(f25(f9(a98),x12813),x12811),f25(f25(f9(a98),x12813),x12812)) % 4.97/4.86 [1361]~P47(x13611)+~P10(x13611,f3(x13611),x13612)+P10(x13611,f3(x13611),f25(f25(f13(x13611),x13612),x13613)) % 4.97/4.86 [1362]~P47(x13621)+~P10(x13621,f4(x13621),x13622)+P10(x13621,f4(x13621),f25(f25(f13(x13621),x13622),x13623)) % 4.97/4.86 [1363]~P47(x13631)+~P11(x13631,f3(x13631),x13632)+P11(x13631,f3(x13631),f25(f25(f13(x13631),x13632),x13633)) % 4.97/4.86 [1618]~P10(a1,x16182,x16183)+~P11(a1,f3(a1),x16181)+P10(a1,f25(f25(f9(a1),x16181),x16182),f25(f25(f9(a1),x16181),x16183)) % 4.97/4.86 [1619]~P10(a1,x16191,x16193)+~P11(a1,f3(a1),x16192)+P10(a1,f25(f25(f9(a1),x16191),x16192),f25(f25(f9(a1),x16193),x16192)) % 4.97/4.86 [1621]~P11(a1,x16211,x16213)+~P11(a1,f3(a1),x16212)+P11(a1,f25(f25(f9(a1),x16211),x16212),f25(f25(f9(a1),x16213),x16212)) % 4.97/4.86 [1622]~P11(a1,x16222,x16223)+~P11(a1,f3(a1),x16221)+P11(a1,f25(f25(f9(a1),x16221),x16222),f25(f25(f9(a1),x16221),x16223)) % 4.97/4.86 [1626]~P11(a98,x16261,x16263)+~P11(a98,f3(a98),x16262)+P11(a98,f25(f25(f9(a98),x16261),x16262),f25(f25(f9(a98),x16263),x16262)) % 4.97/4.86 [1627]~P11(a98,x16272,x16273)+~P11(a98,f3(a98),x16271)+P11(a98,f25(f25(f9(a98),x16271),x16272),f25(f25(f9(a98),x16271),x16273)) % 4.97/4.86 [1628]~P11(a99,x16282,x16283)+~P11(a99,f3(a99),x16281)+P11(a99,f25(f25(f9(a99),x16281),x16282),f25(f25(f9(a99),x16281),x16283)) % 4.97/4.86 [1740]~P47(x17401)+~P11(x17401,f4(x17401),x17402)+P11(x17401,f4(x17401),f25(f25(f13(x17401),x17402),f10(a98,x17403,f4(a98)))) % 4.97/4.86 [1753]~P1(x17531)+~P13(x17531,x17532)+P10(a1,f23(x17531,f25(x17532,x17533)),f22(a98,f10(a98,f85(x17532,x17531),f4(a98)))) % 4.97/4.86 [1754]~P1(x17541)+~P13(x17541,x17542)+P11(a1,f23(x17541,f25(x17542,x17543)),f22(a98,f10(a98,f86(x17542,x17541),f4(a98)))) % 4.97/4.86 [1760]P10(a1,x17601,x17602)+~P11(a1,f3(a1),x17603)+~P10(a1,f25(f25(f9(a1),x17603),x17601),f25(f25(f9(a1),x17603),x17602)) % 4.97/4.86 [1761]P10(a1,x17611,x17612)+~P11(a1,f3(a1),x17613)+~P10(a1,f25(f25(f9(a1),x17611),x17613),f25(f25(f9(a1),x17612),x17613)) % 4.97/4.86 [1763]P10(a98,x17631,x17632)+~P11(a98,f3(a98),x17633)+~P10(a98,f25(f25(f9(a98),x17633),x17631),f25(f25(f9(a98),x17633),x17632)) % 4.97/4.86 [1764]P10(a98,x17641,x17642)+~P11(a98,f3(a98),x17643)+~P10(a98,f25(f25(f9(a98),x17641),x17643),f25(f25(f9(a98),x17642),x17643)) % 4.97/4.86 [1765]P11(a1,x17651,x17652)+~P11(a1,f3(a1),x17653)+~P11(a1,f25(f25(f9(a1),x17651),x17653),f25(f25(f9(a1),x17652),x17653)) % 4.97/4.86 [1767]P11(a98,x17671,x17672)+~P11(a98,f3(a98),x17673)+~P11(a98,f25(f25(f13(a98),x17673),x17671),f25(f25(f13(a98),x17673),x17672)) % 4.97/4.86 [1923]~P56(x19231)+~E(x19232,f8(x19231,x19233))+E(f25(f25(f13(x19231),x19232),f10(a98,f10(a98,f3(a98),f4(a98)),f4(a98))),f25(f25(f13(x19231),x19233),f10(a98,f10(a98,f3(a98),f4(a98)),f4(a98)))) % 4.97/4.86 [1943]~P7(x19431)+P10(x19431,x19432,x19433)+~P10(x19431,f25(f25(f9(x19431),f32(x19433,x19432,x19431)),x19432),x19433) % 4.97/4.86 [1970]~P1(x19701)+P13(x19701,x19702)+~P10(a1,f23(x19701,f25(x19702,f87(x19702,x19701,x19703))),f22(a98,f10(a98,x19703,f4(a98)))) % 4.97/4.86 [1971]~P1(x19711)+P13(x19711,x19712)+~P11(a1,f23(x19711,f25(x19712,f89(x19712,x19711,x19713))),f22(a98,f10(a98,x19713,f4(a98)))) % 4.97/4.86 [1974]~P1(x19742)+P11(a1,f3(a1),f72(x19741,x19742))+~P10(a1,f23(x19742,f25(x19741,f73(x19741,x19742,x19743))),f22(a98,f10(a98,x19743,f4(a98)))) % 4.97/4.86 [1975]~P1(x19752)+P11(a1,f3(a1),f77(x19751,x19752))+~P11(a1,f23(x19752,f25(x19751,f78(x19751,x19752,x19753))),f22(a98,f10(a98,x19753,f4(a98)))) % 4.97/4.86 [1113]~P9(x11132)+E(x11131,f3(x11132))+E(f6(x11132,f25(f25(f9(x11132),x11133),x11131),x11131),x11133) % 4.97/4.86 [1114]~P9(x11142)+E(x11141,f3(x11142))+E(f6(x11142,f25(f25(f9(x11142),x11141),x11143),x11141),x11143) % 4.97/4.86 [1453]~P49(x14531)+~P10(x14531,f3(x14531),x14533)+E(f25(f25(f9(x14531),f5(x14531,x14532)),x14533),f5(x14531,f25(f25(f9(x14531),x14532),x14533))) % 4.97/4.86 [1656]~P57(x16562)+E(x16561,f3(x16562))+~E(f10(x16562,f25(f25(f9(x16562),x16563),x16563),f25(f25(f9(x16562),x16561),x16561)),f3(x16562)) % 4.97/4.86 [1657]~P57(x16572)+E(x16571,f3(x16572))+~E(f10(x16572,f25(f25(f9(x16572),x16571),x16571),f25(f25(f9(x16572),x16573),x16573)),f3(x16572)) % 4.97/4.86 [1671]~P44(x16712)+E(x16711,f3(a98))+E(f25(f25(f9(x16712),x16713),f25(f25(f13(x16712),x16713),f7(a98,x16711,f4(a98)))),f25(f25(f13(x16712),x16713),x16711)) % 4.97/4.86 [1724]~P47(x17241)+~P11(x17241,f4(x17241),x17242)+P11(x17241,f4(x17241),f25(f25(f9(x17241),x17242),f25(f25(f13(x17241),x17242),x17243))) % 4.97/4.86 [1838]~P47(x18381)+~P11(x18381,f4(x18381),x18382)+P11(x18381,f25(f25(f13(x18381),x18382),x18383),f25(f25(f9(x18381),x18382),f25(f25(f13(x18381),x18382),x18383))) % 4.97/4.86 [1850]~P57(x18502)+E(x18501,f3(x18502))+P11(x18502,f3(x18502),f10(x18502,f25(f25(f9(x18502),x18503),x18503),f25(f25(f9(x18502),x18501),x18501))) % 4.97/4.86 [1851]~P57(x18512)+E(x18511,f3(x18512))+P11(x18512,f3(x18512),f10(x18512,f25(f25(f9(x18512),x18511),x18511),f25(f25(f9(x18512),x18513),x18513))) % 4.97/4.86 [1917]~P1(x19171)+~P13(x19171,x19172)+P10(a1,f23(x19171,f10(x19171,f25(x19172,x19173),f8(x19171,f53(x19172,x19171)))),f50(x19172,x19171)) % 4.97/4.86 [1937]~P57(x19372)+E(x19371,f3(x19372))+~P10(x19372,f10(x19372,f25(f25(f9(x19372),x19373),x19373),f25(f25(f9(x19372),x19371),x19371)),f3(x19372)) % 4.97/4.86 [1938]~P57(x19382)+E(x19381,f3(x19382))+~P10(x19382,f10(x19382,f25(f25(f9(x19382),x19381),x19381),f25(f25(f9(x19382),x19383),x19383)),f3(x19382)) % 4.97/4.86 [1932]~P29(x19321)+~P11(a98,f3(a98),x19323)+E(f25(f25(f9(x19321),f25(f25(f13(x19321),x19322),f7(a98,x19323,f4(a98)))),x19322),f25(f25(f13(x19321),x19322),x19323)) % 4.97/4.86 [1961]~P1(x19611)+~P13(x19611,x19612)+P10(a1,f23(x19611,f10(x19611,f25(x19612,x19613),f8(x19611,f25(x19612,f57(x19612,x19611))))),f52(x19612,x19611)) % 4.97/4.86 [1141]~P18(x11413)+E(x11411,x11412)+~E(f10(x11413,x11414,x11411),f10(x11413,x11414,x11412)) % 4.97/4.86 [1142]~P19(x11423)+E(x11421,x11422)+~E(f10(x11423,x11424,x11421),f10(x11423,x11424,x11422)) % 4.97/4.86 [1144]~P18(x11443)+E(x11441,x11442)+~E(f10(x11443,x11441,x11444),f10(x11443,x11442,x11444)) % 4.97/4.86 [1229]~P38(x12292)+~P11(f103(x12291,x12292),x12293,x12294)+P10(f103(x12291,x12292),x12293,x12294) % 4.97/4.86 [1357]~P38(x13571)+~P11(f103(x13572,x13571),x13574,x13573)+~P10(f103(x13572,x13571),x13573,x13574) % 4.97/4.86 [1419]~P11(a98,x14193,x14194)+P11(a98,x14191,x14192)+~E(f10(a98,x14193,x14192),f10(a98,x14191,x14194)) % 4.97/4.86 [1541]~P31(x15411)+~P10(x15411,x15413,x15414)+P10(x15411,f10(x15411,x15412,x15413),f10(x15411,x15412,x15414)) % 4.97/4.86 [1542]~P32(x15421)+~P10(x15421,x15423,x15424)+P10(x15421,f10(x15421,x15422,x15423),f10(x15421,x15422,x15424)) % 4.97/4.86 [1543]~P31(x15431)+~P10(x15431,x15432,x15434)+P10(x15431,f10(x15431,x15432,x15433),f10(x15431,x15434,x15433)) % 4.97/4.86 [1544]~P32(x15441)+~P10(x15441,x15442,x15444)+P10(x15441,f10(x15441,x15442,x15443),f10(x15441,x15444,x15443)) % 4.97/4.86 [1545]~P31(x15451)+~P11(x15451,x15453,x15454)+P11(x15451,f10(x15451,x15452,x15453),f10(x15451,x15452,x15454)) % 4.97/4.86 [1546]~P33(x15461)+~P11(x15461,x15463,x15464)+P11(x15461,f10(x15461,x15462,x15463),f10(x15461,x15462,x15464)) % 4.97/4.86 [1547]~P31(x15471)+~P11(x15471,x15472,x15474)+P11(x15471,f10(x15471,x15472,x15473),f10(x15471,x15474,x15473)) % 4.97/4.86 [1548]~P33(x15481)+~P11(x15481,x15482,x15484)+P11(x15481,f10(x15481,x15482,x15483),f10(x15481,x15484,x15483)) % 4.97/4.86 [1658]~P10(a98,x16582,x16584)+~P10(a98,x16581,x16583)+P10(a98,f10(a98,x16581,x16582),f10(a98,x16583,x16584)) % 4.97/4.86 [1659]~P11(a98,x16592,x16594)+~P11(a98,x16591,x16593)+P11(a98,f10(a98,x16591,x16592),f10(a98,x16593,x16594)) % 4.97/4.86 [1662]~P10(a99,x16622,x16624)+~P11(a99,x16621,x16623)+P11(a99,f10(a99,x16621,x16622),f10(a99,x16623,x16624)) % 4.97/4.86 [1732]~P31(x17321)+P10(x17321,x17322,x17323)+~P10(x17321,f10(x17321,x17324,x17322),f10(x17321,x17324,x17323)) % 4.97/4.86 [1734]~P31(x17341)+P10(x17341,x17342,x17343)+~P10(x17341,f10(x17341,x17342,x17344),f10(x17341,x17343,x17344)) % 4.97/4.86 [1736]~P31(x17361)+P11(x17361,x17362,x17363)+~P11(x17361,f10(x17361,x17364,x17362),f10(x17361,x17364,x17363)) % 4.97/4.86 [1738]~P31(x17381)+P11(x17381,x17382,x17383)+~P11(x17381,f10(x17381,x17382,x17384),f10(x17381,x17383,x17384)) % 4.97/4.86 [1839]~P1(x18391)+P13(x18391,x18392)+P10(a98,x18393,f71(x18394,x18392,x18393,x18391)) % 4.97/4.86 [1744]~E(x17443,f10(a98,x17444,x17442))+P77(f25(x17441,x17442))+~P77(f25(x17441,f7(a98,x17443,x17444))) % 4.97/4.86 [1873]~P49(x18731)+P11(x18731,x18732,f10(x18731,x18733,x18734))+~P11(x18731,f5(x18731,f7(x18731,x18732,x18733)),x18734) % 4.97/4.86 [1874]~P49(x18741)+P11(x18741,f7(x18741,x18742,x18743),x18744)+~P11(x18741,f5(x18741,f7(x18741,x18744,x18742)),x18743) % 4.97/4.86 [2014]~P38(x20142)+P10(f103(x20141,x20142),x20143,x20144)+~P10(x20142,f25(x20143,f76(x20144,x20143,x20141,x20142)),f25(x20144,f76(x20144,x20143,x20141,x20142))) % 4.97/4.86 [1611]~P10(a98,x16112,x16114)+~P10(a98,x16111,x16113)+P10(a98,f25(f25(f9(a98),x16111),x16112),f25(f25(f9(a98),x16113),x16114)) % 4.97/4.86 [1981]~P1(x19811)+P10(a1,f23(x19811,f25(x19812,x19813)),f72(x19812,x19811))+~P10(a1,f23(x19811,f25(x19812,f73(x19812,x19811,x19814))),f22(a98,f10(a98,x19814,f4(a98)))) % 4.97/4.86 [1982]~P1(x19821)+P10(a1,f23(x19821,f25(x19822,x19823)),f77(x19822,x19821))+~P11(a1,f23(x19821,f25(x19822,f78(x19822,x19821,x19824))),f22(a98,f10(a98,x19824,f4(a98)))) % 4.97/4.86 [2013]~P1(x20131)+P13(x20131,x20132)+~P10(a1,f23(x20131,f25(x20132,f71(x20133,x20132,x20134,x20131))),x20133) % 4.97/4.86 [1384]~P9(x13841)+~E(x13842,f3(x13841))+E(f6(x13841,f25(f25(f9(x13841),x13842),x13843),f25(f25(f9(x13841),x13842),x13844)),f3(x13841)) % 4.97/4.86 [1463]~P9(x14632)+E(x14631,f3(x14632))+E(f6(x14632,f25(f25(f9(x14632),x14633),x14631),f25(f25(f9(x14632),x14634),x14631)),f6(x14632,x14633,x14634)) % 4.97/4.86 [1465]~P9(x14652)+E(x14651,f3(x14652))+E(f6(x14652,f25(f25(f9(x14652),x14651),x14653),f25(f25(f9(x14652),x14651),x14654)),f6(x14652,x14653,x14654)) % 4.97/4.86 [1958]~P29(x19581)+~P10(a98,x19584,x19583)+E(f25(f25(f9(x19581),f25(f25(f13(x19581),x19582),f7(a98,x19583,x19584))),x19582),f25(f25(f13(x19581),x19582),f7(a98,f10(a98,x19583,f4(a98)),x19584))) % 4.97/4.86 [1985]~P34(x19852)+E(f19(x19851,x19852,x19853,x19854,f3(f101(x19852))),x19853)+~E(f25(f25(f25(x19854,f3(x19852)),f3(f101(x19852))),x19853),x19853) % 4.97/4.86 [1808]~P9(x18082)+E(x18081,f3(x18082))+E(f6(x18082,f10(x18082,x18083,f25(f25(f9(x18082),x18084),x18081)),x18081),f10(x18082,x18084,f6(x18082,x18083,x18081))) % 4.97/4.86 [1809]~P9(x18092)+E(x18091,f3(x18092))+E(f6(x18092,f10(x18092,x18093,f25(f25(f9(x18092),x18091),x18094)),x18091),f10(x18092,x18094,f6(x18092,x18093,x18091))) % 4.97/4.86 [1304]~P38(x13041)+P10(x13041,f25(x13042,x13043),f25(x13044,x13043))+~P10(f103(x13045,x13041),x13042,x13044) % 4.97/4.86 [1785]~E(x17852,x17854)+~P76(x17851)+E(f10(x17851,f25(f25(f9(x17851),x17852),x17853),f25(f25(f9(x17851),x17854),x17855)),f10(x17851,f25(f25(f9(x17851),x17852),x17855),f25(f25(f9(x17851),x17854),x17853))) % 4.97/4.86 [1956]~P10(a98,x19563,x19562)+E(x19561,f10(a98,f25(f25(f9(a98),f7(a98,x19562,x19563)),x19564),x19565))+~E(f10(a98,f25(f25(f9(a98),x19563),x19564),x19561),f10(a98,f25(f25(f9(a98),x19562),x19564),x19565)) % 4.97/4.86 [1957]~P10(a98,x19572,x19571)+E(f10(a98,f25(f25(f9(a98),f7(a98,x19571,x19572)),x19573),x19574),x19575)+~E(f10(a98,f25(f25(f9(a98),x19571),x19573),x19574),f10(a98,f25(f25(f9(a98),x19572),x19573),x19575)) % 4.97/4.86 [1966]~P10(a98,x19664,x19661)+~E(x19665,f10(a98,f25(f25(f9(a98),f7(a98,x19661,x19664)),x19662),x19663))+E(f10(a98,f25(f25(f9(a98),x19661),x19662),x19663),f10(a98,f25(f25(f9(a98),x19664),x19662),x19665)) % 4.97/4.86 [1967]~P10(a98,x19674,x19671)+~E(f10(a98,f25(f25(f9(a98),f7(a98,x19671,x19674)),x19672),x19673),x19675)+E(f10(a98,f25(f25(f9(a98),x19671),x19672),x19673),f10(a98,f25(f25(f9(a98),x19674),x19672),x19675)) % 4.97/4.86 [1996]~P10(a98,x19963,x19962)+P10(a98,x19961,f10(a98,f25(f25(f9(a98),f7(a98,x19962,x19963)),x19964),x19965))+~P10(a98,f10(a98,f25(f25(f9(a98),x19963),x19964),x19961),f10(a98,f25(f25(f9(a98),x19962),x19964),x19965)) % 4.97/4.86 [1997]~P10(a98,x19973,x19972)+P11(a98,x19971,f10(a98,f25(f25(f9(a98),f7(a98,x19972,x19973)),x19974),x19975))+~P11(a98,f10(a98,f25(f25(f9(a98),x19973),x19974),x19971),f10(a98,f25(f25(f9(a98),x19972),x19974),x19975)) % 4.97/4.86 [1998]~P10(a98,x19982,x19981)+P10(a98,f10(a98,f25(f25(f9(a98),f7(a98,x19981,x19982)),x19983),x19984),x19985)+~P10(a98,f10(a98,f25(f25(f9(a98),x19981),x19983),x19984),f10(a98,f25(f25(f9(a98),x19982),x19983),x19985)) % 4.97/4.86 [1999]~P10(a98,x19992,x19991)+P11(a98,f10(a98,f25(f25(f9(a98),f7(a98,x19991,x19992)),x19993),x19994),x19995)+~P11(a98,f10(a98,f25(f25(f9(a98),x19991),x19993),x19994),f10(a98,f25(f25(f9(a98),x19992),x19993),x19995)) % 4.97/4.86 [2004]~P10(a98,x20041,x20044)+~P10(a98,x20043,f10(a98,f25(f25(f9(a98),f7(a98,x20044,x20041)),x20042),x20045))+P10(a98,f10(a98,f25(f25(f9(a98),x20041),x20042),x20043),f10(a98,f25(f25(f9(a98),x20044),x20042),x20045)) % 4.97/4.86 [2005]~P10(a98,x20051,x20054)+~P11(a98,x20053,f10(a98,f25(f25(f9(a98),f7(a98,x20054,x20051)),x20052),x20055))+P11(a98,f10(a98,f25(f25(f9(a98),x20051),x20052),x20053),f10(a98,f25(f25(f9(a98),x20054),x20052),x20055)) % 4.97/4.86 [2006]~P10(a98,x20064,x20061)+~P10(a98,f10(a98,f25(f25(f9(a98),f7(a98,x20061,x20064)),x20062),x20063),x20065)+P10(a98,f10(a98,f25(f25(f9(a98),x20061),x20062),x20063),f10(a98,f25(f25(f9(a98),x20064),x20062),x20065)) % 4.97/4.86 [2007]~P10(a98,x20074,x20071)+~P11(a98,f10(a98,f25(f25(f9(a98),f7(a98,x20071,x20074)),x20072),x20073),x20075)+P11(a98,f10(a98,f25(f25(f9(a98),x20071),x20072),x20073),f10(a98,f25(f25(f9(a98),x20074),x20072),x20075)) % 4.97/4.86 [1954]~P70(x19542)+~E(f10(x19542,f25(f25(f9(x19542),x19544),x19545),x19541),f10(x19542,f25(f25(f9(x19542),x19543),x19545),x19546))+E(x19541,f10(x19542,f25(f25(f9(x19542),f7(x19542,x19543,x19544)),x19545),x19546)) % 4.97/4.86 [1955]~P70(x19551)+~E(f10(x19551,f25(f25(f9(x19551),x19552),x19554),x19555),f10(x19551,f25(f25(f9(x19551),x19553),x19554),x19556))+E(f10(x19551,f25(f25(f9(x19551),f7(x19551,x19552,x19553)),x19554),x19555),x19556) % 4.97/4.86 [1964]~P70(x19641)+~E(x19646,f10(x19641,f25(f25(f9(x19641),f7(x19641,x19642,x19645)),x19643),x19644))+E(f10(x19641,f25(f25(f9(x19641),x19642),x19643),x19644),f10(x19641,f25(f25(f9(x19641),x19645),x19643),x19646)) % 4.97/4.86 [1965]~P70(x19651)+~E(f10(x19651,f25(f25(f9(x19651),f7(x19651,x19652,x19655)),x19653),x19654),x19656)+E(f10(x19651,f25(f25(f9(x19651),x19652),x19653),x19654),f10(x19651,f25(f25(f9(x19651),x19655),x19653),x19656)) % 4.97/4.86 [2000]~P65(x20001)+~P10(x20001,f10(x20001,f25(f25(f9(x20001),x20004),x20005),x20002),f10(x20001,f25(f25(f9(x20001),x20003),x20005),x20006))+P10(x20001,x20002,f10(x20001,f25(f25(f9(x20001),f7(x20001,x20003,x20004)),x20005),x20006)) % 4.97/4.86 [2001]~P65(x20011)+~P11(x20011,f10(x20011,f25(f25(f9(x20011),x20014),x20015),x20012),f10(x20011,f25(f25(f9(x20011),x20013),x20015),x20016))+P11(x20011,x20012,f10(x20011,f25(f25(f9(x20011),f7(x20011,x20013,x20014)),x20015),x20016)) % 4.97/4.86 [2002]~P65(x20021)+~P10(x20021,f10(x20021,f25(f25(f9(x20021),x20022),x20024),x20025),f10(x20021,f25(f25(f9(x20021),x20023),x20024),x20026))+P10(x20021,f10(x20021,f25(f25(f9(x20021),f7(x20021,x20022,x20023)),x20024),x20025),x20026) % 4.97/4.86 [2003]~P65(x20031)+~P11(x20031,f10(x20031,f25(f25(f9(x20031),x20032),x20034),x20035),f10(x20031,f25(f25(f9(x20031),x20033),x20034),x20036))+P11(x20031,f10(x20031,f25(f25(f9(x20031),f7(x20031,x20032,x20033)),x20034),x20035),x20036) % 4.97/4.86 [2008]~P65(x20081)+~P10(x20081,x20084,f10(x20081,f25(f25(f9(x20081),f7(x20081,x20085,x20082)),x20083),x20086))+P10(x20081,f10(x20081,f25(f25(f9(x20081),x20082),x20083),x20084),f10(x20081,f25(f25(f9(x20081),x20085),x20083),x20086)) % 4.97/4.86 [2009]~P65(x20091)+~P11(x20091,x20094,f10(x20091,f25(f25(f9(x20091),f7(x20091,x20095,x20092)),x20093),x20096))+P11(x20091,f10(x20091,f25(f25(f9(x20091),x20092),x20093),x20094),f10(x20091,f25(f25(f9(x20091),x20095),x20093),x20096)) % 4.97/4.86 [2010]~P65(x20101)+~P10(x20101,f10(x20101,f25(f25(f9(x20101),f7(x20101,x20102,x20105)),x20103),x20104),x20106)+P10(x20101,f10(x20101,f25(f25(f9(x20101),x20102),x20103),x20104),f10(x20101,f25(f25(f9(x20101),x20105),x20103),x20106)) % 4.97/4.86 [2011]~P65(x20111)+~P11(x20111,f10(x20111,f25(f25(f9(x20111),f7(x20111,x20112,x20115)),x20113),x20114),x20116)+P11(x20111,f10(x20111,f25(f25(f9(x20111),x20112),x20113),x20114),f10(x20111,f25(f25(f9(x20111),x20115),x20113),x20116)) % 4.97/4.86 [1009]~P35(x10092)+~P11(x10092,f3(x10092),x10091)+E(f11(x10092,x10091),f4(x10092))+E(x10091,f3(x10092)) % 4.97/4.86 [1182]E(x11821,x11822)+~E(f21(x11821),f21(x11822))+~P11(a1,f3(a1),x11822)+~P11(a1,f3(a1),x11821) % 4.97/4.86 [1189]P11(a99,x11891,x11892)+P11(a99,x11892,x11891)+E(x11891,f3(a99))+~E(f6(a99,x11892,x11891),f3(a99)) % 4.97/4.86 [1197]P11(a99,x11972,x11971)+E(x11971,f3(a99))+P10(a99,x11972,f3(a99))+~E(f6(a99,x11972,x11971),f3(a99)) % 4.97/4.86 [1198]P11(a99,x11981,x11982)+E(x11981,f3(a99))+P10(a99,f3(a99),x11982)+~E(f6(a99,x11982,x11981),f3(a99)) % 4.97/4.86 [1466]~P10(a1,x14661,x14662)+P10(a1,f21(x14661),f21(x14662))+~P11(a1,f3(a1),x14662)+~P11(a1,f3(a1),x14661) % 4.97/4.86 [1467]~P11(a1,x14671,x14672)+P11(a1,f21(x14671),f21(x14672))+~P11(a1,f3(a1),x14672)+~P11(a1,f3(a1),x14671) % 4.97/4.86 [1492]P10(a1,x14921,x14922)+~P10(a1,f21(x14921),f21(x14922))+~P11(a1,f3(a1),x14922)+~P11(a1,f3(a1),x14921) % 4.97/4.86 [1493]P11(a1,x14931,x14932)+~P11(a1,f21(x14931),f21(x14932))+~P11(a1,f3(a1),x14932)+~P11(a1,f3(a1),x14931) % 4.97/4.86 [880]P12(x8802,x8801)+~P49(x8802)+P12(x8802,f8(f101(x8802),x8801))+E(x8801,f3(f101(x8802))) % 4.97/4.86 [963]~P35(x9632)+P11(x9632,f3(x9632),x9631)+E(x9631,f3(x9632))+E(f11(x9632,x9631),f8(x9632,f4(x9632))) % 4.97/4.86 [1118]~P49(x11182)+~P11(f101(x11182),f3(f101(x11182)),x11181)+E(f11(f101(x11182),x11181),f4(f101(x11182)))+E(x11181,f3(f101(x11182))) % 4.97/4.86 [881]~P44(x8812)+~P75(x8812)+E(x8811,f3(a98))+E(f25(f25(f13(x8812),f3(x8812)),x8811),f3(x8812)) % 4.97/4.86 [1005]~P71(x10052)+E(x10051,f4(x10052))+E(x10051,f8(x10052,f4(x10052)))+~E(f25(f25(f9(x10052),x10051),x10051),f4(x10052)) % 4.97/4.86 [1065]~E(x10652,f4(a99))+~E(x10651,f4(a99))+~P11(a99,f3(a99),x10651)+E(f25(f25(f9(a99),x10651),x10652),f4(a99)) % 4.97/4.86 [1095]~P49(x10952)+P11(f101(x10952),f3(f101(x10952)),x10951)+E(x10951,f3(f101(x10952)))+E(f11(f101(x10952),x10951),f8(f101(x10952),f4(f101(x10952)))) % 4.97/4.86 [994]P11(x9943,x9941,x9942)+~P49(x9943)+E(x9941,x9942)+P11(x9943,x9942,x9941) % 4.97/4.86 [1000]P11(x10003,x10001,x10002)+~P39(x10003)+E(x10001,x10002)+P11(x10003,x10002,x10001) % 4.97/4.86 [1001]P11(x10011,x10012,x10013)+~E(x10012,x10013)+~P39(x10011)+P10(x10011,x10012,x10013) % 4.97/4.86 [1068]~P43(x10683)+~P10(x10683,x10682,x10681)+E(x10681,x10682)+P11(x10683,x10682,x10681) % 4.97/4.86 [1070]~P39(x10703)+~P10(x10703,x10701,x10702)+E(x10701,x10702)+P11(x10703,x10701,x10702) % 4.97/4.86 [1076]~P43(x10763)+~P10(x10763,x10761,x10762)+E(x10761,x10762)+P11(x10763,x10761,x10762) % 4.97/4.86 [1150]~P10(x11503,x11502,x11501)+~P10(x11503,x11501,x11502)+E(x11501,x11502)+~P43(x11503) % 4.97/4.86 [1202]P11(x12021,x12023,x12022)+~P37(x12021)+~P10(x12021,x12023,x12022)+P10(x12021,x12022,x12023) % 4.97/4.86 [804]~P40(x8043)+~P56(x8043)+E(x8041,x8042)+~E(f17(x8043,x8041),f17(x8043,x8042)) % 4.97/4.86 [1376]P78(x13762,x13763,x13761)+P11(a99,f93(x13761,x13763,x13762),x13761)+E(x13761,f3(a99))+P11(a99,x13761,f3(a99)) % 4.97/4.86 [1377]P78(x13772,x13773,x13771)+P11(a99,x13771,f94(x13771,x13773,x13772))+E(x13771,f3(a99))+P11(a99,f3(a99),x13771) % 4.97/4.86 [1382]P78(x13822,x13823,x13821)+E(x13821,f3(a99))+P11(a99,x13821,f3(a99))+P10(a99,f3(a99),f93(x13821,x13823,x13822)) % 4.97/4.86 [1383]P78(x13832,x13833,x13831)+E(x13831,f3(a99))+P11(a99,f3(a99),x13831)+P10(a99,f94(x13831,x13833,x13832),f3(a99)) % 4.97/4.86 [1414]~P4(x14141)+~P10(x14141,x14142,x14143)+~P10(x14141,f8(x14141,x14142),x14143)+P10(x14141,f5(x14141,x14142),x14143) % 4.97/4.86 [1415]~P49(x14151)+~P11(x14151,x14152,x14153)+~P11(x14151,f8(x14151,x14152),x14153)+P11(x14151,f5(x14151,x14152),x14153) % 4.97/4.86 [1497]E(x14971,x14972)+~P10(a98,x14973,x14972)+~P10(a98,x14973,x14971)+~E(f7(a98,x14971,x14973),f7(a98,x14972,x14973)) % 4.97/4.86 [1572]~P3(x15721)+~P11(x15721,f3(x15721),x15723)+~P11(x15721,f3(x15721),x15722)+P11(x15721,f3(x15721),f10(x15721,x15722,x15723)) % 4.97/4.86 [1573]~P3(x15731)+~P10(x15731,x15733,f3(x15731))+~P10(x15731,x15732,f3(x15731))+P10(x15731,f10(x15731,x15732,x15733),f3(x15731)) % 4.97/4.86 [1574]~P3(x15741)+~P10(x15741,x15743,f3(x15741))+~P11(x15741,x15742,f3(x15741))+P11(x15741,f10(x15741,x15742,x15743),f3(x15741)) % 4.97/4.86 [1575]~P3(x15751)+~P10(x15751,x15752,f3(x15751))+~P11(x15751,x15753,f3(x15751))+P11(x15751,f10(x15751,x15752,x15753),f3(x15751)) % 4.97/4.86 [1576]~P3(x15761)+~P11(x15761,x15763,f3(x15761))+~P11(x15761,x15762,f3(x15761))+P11(x15761,f10(x15761,x15762,x15763),f3(x15761)) % 4.97/4.86 [1584]P78(x15842,x15843,x15841)+P11(a99,x15841,f94(x15841,x15843,x15842))+P11(a99,f93(x15841,x15843,x15842),x15841)+E(x15841,f3(a99)) % 4.97/4.86 [1585]P78(x15852,x15853,x15851)+P11(a99,x15851,f94(x15851,x15853,x15852))+E(x15851,f3(a99))+P10(a99,f3(a99),f93(x15851,x15853,x15852)) % 4.97/4.86 [1586]P78(x15862,x15863,x15861)+P11(a99,f93(x15861,x15863,x15862),x15861)+E(x15861,f3(a99))+P10(a99,f94(x15861,x15863,x15862),f3(a99)) % 4.97/4.86 [1588]P78(x15882,x15883,x15881)+E(x15881,f3(a99))+P10(a99,f3(a99),f93(x15881,x15883,x15882))+P10(a99,f94(x15881,x15883,x15882),f3(a99)) % 4.97/4.86 [1779]~P10(a99,x17792,x17793)+P10(a99,f6(a99,x17791,x17792),f6(a99,x17791,x17793))+~P11(a99,x17791,f3(a99))+~P11(a99,f3(a99),x17792) % 4.97/4.86 [1780]~P10(a99,x17803,x17802)+P10(a99,f6(a99,x17801,x17802),f6(a99,x17801,x17803))+~P10(a99,f3(a99),x17801)+~P11(a99,f3(a99),x17803) % 4.97/4.86 [1871]~P10(a98,x18713,x18711)+P10(a98,x18711,x18712)+~P10(a98,x18713,x18712)+~P10(a98,f7(a98,x18711,x18713),f7(a98,x18712,x18713)) % 4.97/4.86 [1872]~P10(a98,x18723,x18721)+P11(a98,x18721,x18722)+~P10(a98,x18723,x18722)+~P11(a98,f7(a98,x18721,x18723),f7(a98,x18722,x18723)) % 4.97/4.86 [1124]~P56(x11242)+~E(f18(x11242,x11243,x11241),f3(a98))+~E(f25(f17(x11242,x11241),x11243),f3(x11242))+E(x11241,f3(f101(x11242))) % 4.97/4.86 [1164]~P49(x11641)+~P12(x11641,x11643)+~P12(x11641,x11642)+P12(x11641,f10(f101(x11641),x11642,x11643)) % 4.97/4.86 [1245]P78(x12451,x12452,x12453)+P11(a99,x12453,f3(a99))+P11(a99,f3(a99),x12453)+~P77(f25(x12451,f3(a99))) % 4.97/4.86 [1284]~P49(x12843)+E(x12841,x12842)+~P10(f101(x12843),x12841,x12842)+P12(x12843,f7(f101(x12843),x12842,x12841)) % 4.97/4.86 [1349]~P10(a98,x13493,f40(x13492,x13491))+~P77(f25(x13491,x13492))+~P77(f25(x13491,x13493))+P77(f25(x13491,f3(a98))) % 4.97/4.86 [1472]P78(x14721,x14722,x14723)+P11(a99,f93(x14723,x14722,x14721),x14723)+P11(a99,x14723,f3(a99))+~P77(f25(x14721,f3(a99))) % 4.97/4.86 [1473]P78(x14731,x14732,x14733)+P11(a99,x14733,f94(x14733,x14732,x14731))+P11(a99,f3(a99),x14733)+~P77(f25(x14731,f3(a99))) % 4.97/4.86 [1487]P78(x14871,x14872,x14873)+P11(a99,x14873,f3(a99))+P10(a99,f3(a99),f93(x14873,x14872,x14871))+~P77(f25(x14871,f3(a99))) % 4.97/4.86 [1488]P78(x14881,x14882,x14883)+P11(a99,f3(a99),x14883)+P10(a99,f94(x14883,x14882,x14881),f3(a99))+~P77(f25(x14881,f3(a99))) % 4.97/4.86 [1664]P78(x16641,x16642,x16643)+P11(a99,x16643,f94(x16643,x16642,x16641))+P11(a99,f93(x16643,x16642,x16641),x16643)+~P77(f25(x16641,f3(a99))) % 4.97/4.86 [1668]P78(x16681,x16682,x16683)+P11(a99,x16683,f94(x16683,x16682,x16681))+P10(a99,f3(a99),f93(x16683,x16682,x16681))+~P77(f25(x16681,f3(a99))) % 4.97/4.86 [1669]P78(x16691,x16692,x16693)+P11(a99,f93(x16693,x16692,x16691),x16693)+P10(a99,f94(x16693,x16692,x16691),f3(a99))+~P77(f25(x16691,f3(a99))) % 4.97/4.86 [1673]P78(x16731,x16732,x16733)+P10(a99,f3(a99),f93(x16733,x16732,x16731))+P10(a99,f94(x16733,x16732,x16731),f3(a99))+~P77(f25(x16731,f3(a99))) % 4.97/4.86 [1751]P78(x17512,x17513,x17511)+E(x17511,f3(a99))+P11(a99,x17511,f3(a99))+~P77(f25(x17512,f92(x17511,x17513,x17512))) % 4.97/4.86 [1752]P78(x17522,x17523,x17521)+E(x17521,f3(a99))+P11(a99,f3(a99),x17521)+~P77(f25(x17522,f95(x17521,x17523,x17522))) % 4.97/4.86 [1810]P11(a98,f68(x18102,x18101,x18103),x18103)+~P10(a99,x18102,f25(x18101,x18103))+E(f25(x18101,f67(x18102,x18101,x18103)),x18102)+~P10(a99,f25(x18101,f3(a98)),x18102) % 4.97/4.86 [1811]P11(a98,f70(x18112,x18111,x18113),x18113)+~P10(a99,x18112,f25(x18111,x18113))+E(f25(x18111,f69(x18112,x18111,x18113)),x18112)+~P10(a99,f25(x18111,f3(a98)),x18112) % 4.97/4.86 [1818]P78(x18181,x18182,x18183)+P11(a99,x18183,f3(a99))+~P77(f25(x18181,f92(x18183,x18182,x18181)))+~P77(f25(x18181,f3(a99))) % 4.97/4.86 [1819]P78(x18191,x18192,x18193)+P11(a99,f3(a99),x18193)+~P77(f25(x18191,f95(x18193,x18192,x18191)))+~P77(f25(x18191,f3(a99))) % 4.97/4.86 [1844]P11(a98,f68(x18441,x18442,x18443),x18443)+~P10(a99,x18441,f25(x18442,x18443))+P10(a98,f67(x18441,x18442,x18443),x18443)+~P10(a99,f25(x18442,f3(a98)),x18441) % 4.97/4.86 [1845]P11(a98,f70(x18451,x18452,x18453),x18453)+~P10(a99,x18451,f25(x18452,x18453))+P10(a98,f69(x18451,x18452,x18453),x18453)+~P10(a99,f25(x18452,f3(a98)),x18451) % 4.97/4.86 [1846]P78(x18463,x18462,x18461)+E(x18461,f3(a99))+P11(a99,x18461,f3(a99))+E(f10(a99,f25(f25(f9(a99),x18461),f92(x18461,x18462,x18463)),f93(x18461,x18462,x18463)),x18462) % 4.97/4.86 [1847]P78(x18473,x18472,x18471)+E(x18471,f3(a99))+P11(a99,f3(a99),x18471)+E(f10(a99,f25(f25(f9(a99),x18471),f95(x18471,x18472,x18473)),f94(x18471,x18472,x18473)),x18472) % 4.97/4.86 [1853]P78(x18532,x18533,x18531)+P11(a99,x18531,f94(x18531,x18533,x18532))+E(x18531,f3(a99))+~P77(f25(x18532,f92(x18531,x18533,x18532))) % 4.97/4.86 [1854]P78(x18542,x18543,x18541)+P11(a99,f93(x18541,x18543,x18542),x18541)+E(x18541,f3(a99))+~P77(f25(x18542,f95(x18541,x18543,x18542))) % 4.97/4.86 [1857]P78(x18572,x18573,x18571)+E(x18571,f3(a99))+P10(a99,f3(a99),f93(x18571,x18573,x18572))+~P77(f25(x18572,f95(x18571,x18573,x18572))) % 4.97/4.86 [1858]P78(x18582,x18583,x18581)+E(x18581,f3(a99))+P10(a99,f94(x18581,x18583,x18582),f3(a99))+~P77(f25(x18582,f92(x18581,x18583,x18582))) % 4.97/4.86 [1876]P78(x18763,x18762,x18761)+P11(a99,x18761,f3(a99))+E(f10(a99,f25(f25(f9(a99),x18761),f92(x18761,x18762,x18763)),f93(x18761,x18762,x18763)),x18762)+~P77(f25(x18763,f3(a99))) % 4.97/4.86 [1877]P78(x18773,x18772,x18771)+P11(a99,f3(a99),x18771)+E(f10(a99,f25(f25(f9(a99),x18771),f95(x18771,x18772,x18773)),f94(x18771,x18772,x18773)),x18772)+~P77(f25(x18773,f3(a99))) % 4.97/4.86 [1882]P78(x18821,x18822,x18823)+P11(a99,x18823,f94(x18823,x18822,x18821))+~P77(f25(x18821,f92(x18823,x18822,x18821)))+~P77(f25(x18821,f3(a99))) % 4.97/4.86 [1883]P78(x18831,x18832,x18833)+P11(a99,f93(x18833,x18832,x18831),x18833)+~P77(f25(x18831,f95(x18833,x18832,x18831)))+~P77(f25(x18831,f3(a99))) % 4.97/4.86 [1884]P78(x18841,x18842,x18843)+P10(a99,f3(a99),f93(x18843,x18842,x18841))+~P77(f25(x18841,f95(x18843,x18842,x18841)))+~P77(f25(x18841,f3(a99))) % 4.97/4.86 [1885]P78(x18851,x18852,x18853)+P10(a99,f94(x18853,x18852,x18851),f3(a99))+~P77(f25(x18851,f92(x18853,x18852,x18851)))+~P77(f25(x18851,f3(a99))) % 4.97/4.86 [1895]P78(x18953,x18952,x18951)+P11(a99,x18951,f94(x18951,x18952,x18953))+E(x18951,f3(a99))+E(f10(a99,f25(f25(f9(a99),x18951),f92(x18951,x18952,x18953)),f93(x18951,x18952,x18953)),x18952) % 4.97/4.86 [1896]P78(x18963,x18962,x18961)+P11(a99,f93(x18961,x18962,x18963),x18961)+E(x18961,f3(a99))+E(f10(a99,f25(f25(f9(a99),x18961),f95(x18961,x18962,x18963)),f94(x18961,x18962,x18963)),x18962) % 4.97/4.86 [1899]P78(x18993,x18992,x18991)+E(x18991,f3(a99))+P10(a99,f3(a99),f93(x18991,x18992,x18993))+E(f10(a99,f25(f25(f9(a99),x18991),f95(x18991,x18992,x18993)),f94(x18991,x18992,x18993)),x18992) % 4.97/4.86 [1900]P78(x19003,x19002,x19001)+E(x19001,f3(a99))+P10(a99,f94(x19001,x19002,x19003),f3(a99))+E(f10(a99,f25(f25(f9(a99),x19001),f92(x19001,x19002,x19003)),f93(x19001,x19002,x19003)),x19002) % 4.97/4.86 [1909]P78(x19093,x19092,x19091)+P11(a99,x19091,f94(x19091,x19092,x19093))+E(f10(a99,f25(f25(f9(a99),x19091),f92(x19091,x19092,x19093)),f93(x19091,x19092,x19093)),x19092)+~P77(f25(x19093,f3(a99))) % 4.97/4.86 [1910]P78(x19103,x19102,x19101)+P11(a99,f93(x19101,x19102,x19103),x19101)+E(f10(a99,f25(f25(f9(a99),x19101),f95(x19101,x19102,x19103)),f94(x19101,x19102,x19103)),x19102)+~P77(f25(x19103,f3(a99))) % 4.97/4.86 [1912]P78(x19123,x19122,x19121)+P10(a99,f3(a99),f93(x19121,x19122,x19123))+E(f10(a99,f25(f25(f9(a99),x19121),f95(x19121,x19122,x19123)),f94(x19121,x19122,x19123)),x19122)+~P77(f25(x19123,f3(a99))) % 4.97/4.86 [1913]P78(x19133,x19132,x19131)+P10(a99,f94(x19131,x19132,x19133),f3(a99))+E(f10(a99,f25(f25(f9(a99),x19131),f92(x19131,x19132,x19133)),f93(x19131,x19132,x19133)),x19132)+~P77(f25(x19133,f3(a99))) % 4.97/4.86 [1926]P78(x19262,x19263,x19261)+E(x19261,f3(a99))+~P77(f25(x19262,f92(x19261,x19263,x19262)))+~P77(f25(x19262,f95(x19261,x19263,x19262))) % 4.97/4.86 [1933]P78(x19331,x19332,x19333)+~P77(f25(x19331,f92(x19333,x19332,x19331)))+~P77(f25(x19331,f95(x19333,x19332,x19331)))+~P77(f25(x19331,f3(a99))) % 4.97/4.86 [1934]P78(x19343,x19342,x19341)+E(x19341,f3(a99))+E(f10(a99,f25(f25(f9(a99),x19341),f92(x19341,x19342,x19343)),f93(x19341,x19342,x19343)),x19342)+~P77(f25(x19343,f95(x19341,x19342,x19343))) % 4.97/4.86 [1935]P78(x19353,x19352,x19351)+E(x19351,f3(a99))+E(f10(a99,f25(f25(f9(a99),x19351),f95(x19351,x19352,x19353)),f94(x19351,x19352,x19353)),x19352)+~P77(f25(x19353,f92(x19351,x19352,x19353))) % 4.97/4.86 [1941]P78(x19413,x19412,x19411)+E(f10(a99,f25(f25(f9(a99),x19411),f92(x19411,x19412,x19413)),f93(x19411,x19412,x19413)),x19412)+~P77(f25(x19413,f95(x19411,x19412,x19413)))+~P77(f25(x19413,f3(a99))) % 4.97/4.86 [1942]P78(x19423,x19422,x19421)+E(f10(a99,f25(f25(f9(a99),x19421),f95(x19421,x19422,x19423)),f94(x19421,x19422,x19423)),x19422)+~P77(f25(x19423,f92(x19421,x19422,x19423)))+~P77(f25(x19423,f3(a99))) % 4.97/4.86 [1944]P78(x19443,x19442,x19441)+E(x19441,f3(a99))+E(f10(a99,f25(f25(f9(a99),x19441),f95(x19441,x19442,x19443)),f94(x19441,x19442,x19443)),x19442)+E(f10(a99,f25(f25(f9(a99),x19441),f92(x19441,x19442,x19443)),f93(x19441,x19442,x19443)),x19442) % 4.97/4.86 [1949]P78(x19493,x19492,x19491)+E(f10(a99,f25(f25(f9(a99),x19491),f95(x19491,x19492,x19493)),f94(x19491,x19492,x19493)),x19492)+E(f10(a99,f25(f25(f9(a99),x19491),f92(x19491,x19492,x19493)),f93(x19491,x19492,x19493)),x19492)+~P77(f25(x19493,f3(a99))) % 4.97/4.86 [954]~P63(x9542)+E(x9541,f3(x9542))+E(x9543,f3(x9542))+~E(f25(f25(f9(x9542),x9543),x9541),f3(x9542)) % 4.97/4.86 [955]~P69(x9552)+E(x9551,f3(x9552))+E(x9553,f3(x9552))+~E(f25(f25(f9(x9552),x9553),x9551),f3(x9552)) % 4.97/4.86 [1167]~P56(x11673)+E(x11671,x11672)+E(x11671,f8(x11673,x11672))+~E(f25(f25(f9(x11673),x11671),x11671),f25(f25(f9(x11673),x11672),x11672)) % 4.97/4.86 [1536]~P47(x15361)+~P11(x15361,f4(x15361),x15362)+~P11(a98,f3(a98),x15363)+P11(x15361,f4(x15361),f25(f25(f13(x15361),x15362),x15363)) % 4.97/4.86 [1549]~P57(x15491)+~P10(x15491,x15493,f3(x15491))+~P10(x15491,x15492,f3(x15491))+P10(x15491,f3(x15491),f25(f25(f9(x15491),x15492),x15493)) % 4.97/4.86 [1551]~P65(x15511)+~P10(x15511,x15513,f3(x15511))+~P10(x15511,x15512,f3(x15511))+P10(x15511,f3(x15511),f25(f25(f9(x15511),x15512),x15513)) % 4.97/4.86 [1552]~P57(x15521)+~P11(x15521,x15523,f3(x15521))+~P11(x15521,x15522,f3(x15521))+P11(x15521,f3(x15521),f25(f25(f9(x15521),x15522),x15523)) % 4.97/4.86 [1553]~P57(x15531)+~P10(x15531,f3(x15531),x15533)+~P10(x15531,f3(x15531),x15532)+P10(x15531,f3(x15531),f25(f25(f9(x15531),x15532),x15533)) % 4.97/4.86 [1554]~P58(x15541)+~P10(x15541,f3(x15541),x15543)+~P10(x15541,f3(x15541),x15542)+P10(x15541,f3(x15541),f25(f25(f9(x15541),x15542),x15543)) % 4.97/4.86 [1555]~P65(x15551)+~P10(x15551,f3(x15551),x15553)+~P10(x15551,f3(x15551),x15552)+P10(x15551,f3(x15551),f25(f25(f9(x15551),x15552),x15553)) % 4.97/4.86 [1556]~P59(x15561)+~P11(x15561,f3(x15561),x15563)+~P11(x15561,f3(x15561),x15562)+P11(x15561,f3(x15561),f25(f25(f9(x15561),x15562),x15563)) % 4.97/4.86 [1557]~P47(x15571)+~P11(x15571,f4(x15571),x15573)+~P11(x15571,f4(x15571),x15572)+P11(x15571,f4(x15571),f25(f25(f9(x15571),x15572),x15573)) % 4.97/4.86 [1559]~P57(x15591)+~P10(x15591,x15593,f3(x15591))+~P10(x15591,f3(x15591),x15592)+P10(x15591,f25(f25(f9(x15591),x15592),x15593),f3(x15591)) % 4.97/4.86 [1560]~P57(x15601)+~P10(x15601,x15602,f3(x15601))+~P10(x15601,f3(x15601),x15603)+P10(x15601,f25(f25(f9(x15601),x15602),x15603),f3(x15601)) % 4.97/4.86 [1562]~P58(x15621)+~P10(x15621,x15623,f3(x15621))+~P10(x15621,f3(x15621),x15622)+P10(x15621,f25(f25(f9(x15621),x15622),x15623),f3(x15621)) % 4.97/4.86 [1564]~P58(x15641)+~P10(x15641,x15642,f3(x15641))+~P10(x15641,f3(x15641),x15643)+P10(x15641,f25(f25(f9(x15641),x15642),x15643),f3(x15641)) % 4.97/4.86 [1566]~P59(x15661)+~P11(x15661,x15663,f3(x15661))+~P11(x15661,f3(x15661),x15662)+P11(x15661,f25(f25(f9(x15661),x15662),x15663),f3(x15661)) % 4.97/4.86 [1567]~P59(x15671)+~P11(x15671,x15672,f3(x15671))+~P11(x15671,f3(x15671),x15673)+P11(x15671,f25(f25(f9(x15671),x15672),x15673),f3(x15671)) % 4.97/4.86 [1589]~P57(x15891)+P10(x15891,x15892,f3(x15891))+P10(x15891,x15893,f3(x15891))+~P10(x15891,f25(f25(f9(x15891),x15893),x15892),f3(x15891)) % 4.97/4.86 [1590]~P57(x15901)+P10(x15901,x15902,f3(x15901))+P10(x15901,f3(x15901),x15903)+~P10(x15901,f3(x15901),f25(f25(f9(x15901),x15903),x15902)) % 4.97/4.86 [1591]~P57(x15911)+P10(x15911,x15912,f3(x15911))+P10(x15911,f3(x15911),x15913)+~P10(x15911,f3(x15911),f25(f25(f9(x15911),x15912),x15913)) % 4.97/4.86 [1592]~P57(x15921)+P10(x15921,f3(x15921),x15922)+P10(x15921,x15922,f3(x15921))+~P10(x15921,f3(x15921),f25(f25(f9(x15921),x15923),x15922)) % 4.97/4.86 [1593]~P57(x15931)+P10(x15931,f3(x15931),x15932)+P10(x15931,x15932,f3(x15931))+~P10(x15931,f3(x15931),f25(f25(f9(x15931),x15932),x15933)) % 4.97/4.86 [1594]~P57(x15941)+P10(x15941,f3(x15941),x15942)+P10(x15941,x15942,f3(x15941))+~P10(x15941,f25(f25(f9(x15941),x15943),x15942),f3(x15941)) % 4.97/4.86 [1595]~P57(x15951)+P10(x15951,f3(x15951),x15952)+P10(x15951,x15952,f3(x15951))+~P10(x15951,f25(f25(f9(x15951),x15952),x15953),f3(x15951)) % 4.97/4.86 [1596]~P57(x15961)+P10(x15961,f3(x15961),x15962)+P10(x15961,f3(x15961),x15963)+~P10(x15961,f25(f25(f9(x15961),x15962),x15963),f3(x15961)) % 4.97/4.86 [1643]~P59(x16431)+P11(x16431,f3(x16431),x16432)+~P11(x16431,f3(x16431),x16433)+~P11(x16431,f3(x16431),f25(f25(f9(x16431),x16433),x16432)) % 4.97/4.86 [1644]~P59(x16441)+P11(x16441,f3(x16441),x16442)+~P11(x16441,f3(x16441),x16443)+~P11(x16441,f3(x16441),f25(f25(f9(x16441),x16442),x16443)) % 4.97/4.86 [1840]~P47(x18401)+~P10(x18401,x18402,f4(x18401))+~P10(x18401,f3(x18401),x18402)+P10(x18401,f25(f25(f13(x18401),x18402),f10(a98,x18403,f4(a98))),x18402) % 4.97/4.86 [1848]~P47(x18481)+~P11(x18481,x18482,f4(x18481))+~P11(x18481,f3(x18481),x18482)+P11(x18481,f25(f25(f13(x18481),x18482),f10(a98,x18483,f4(a98))),f4(x18481)) % 4.97/4.86 [1945]~P1(x19451)+P13(x19451,x19452)+~P11(a1,f3(a1),x19453)+~P10(a1,f23(x19451,f25(x19452,f51(x19452,x19451,x19453))),x19453) % 4.97/4.86 [1946]~P1(x19461)+P13(x19461,x19462)+~P11(a1,f3(a1),x19463)+~P10(a1,f23(x19461,f25(x19462,f56(x19462,x19463,x19461))),x19463) % 4.97/4.86 [1969]~P56(x19693)+E(x19691,x19692)+E(x19691,f8(x19693,x19692))+~E(f25(f25(f13(x19693),x19691),f10(a98,f10(a98,f3(a98),f4(a98)),f4(a98))),f25(f25(f13(x19693),x19692),f10(a98,f10(a98,f3(a98),f4(a98)),f4(a98)))) % 4.97/4.86 [1234]~P49(x12341)+~P12(x12341,x12343)+~P12(x12341,x12342)+P12(x12341,f25(f25(f9(f101(x12341)),x12342),x12343)) % 4.97/4.86 [1394]~P57(x13941)+~E(x13943,f3(x13941))+~E(x13942,f3(x13941))+E(f10(x13941,f25(f25(f9(x13941),x13942),x13942),f25(f25(f9(x13941),x13943),x13943)),f3(x13941)) % 4.97/4.86 [1674]~P68(x16741)+~P10(x16741,x16742,f3(x16741))+~P10(x16741,x16743,f3(x16741))+E(f25(f25(f9(x16741),f5(x16741,x16742)),f5(x16741,x16743)),f5(x16741,f25(f25(f9(x16741),x16742),x16743))) % 4.97/4.86 [1675]~P68(x16751)+~P10(x16751,x16752,f3(x16751))+~P10(x16751,f3(x16751),x16753)+E(f25(f25(f9(x16751),f5(x16751,x16752)),f5(x16751,x16753)),f5(x16751,f25(f25(f9(x16751),x16752),x16753))) % 4.97/4.86 [1676]~P68(x16761)+~P10(x16761,x16763,f3(x16761))+~P10(x16761,f3(x16761),x16762)+E(f25(f25(f9(x16761),f5(x16761,x16762)),f5(x16761,x16763)),f5(x16761,f25(f25(f9(x16761),x16762),x16763))) % 4.97/4.86 [1677]~P68(x16771)+~P10(x16771,f3(x16771),x16772)+~P10(x16771,f3(x16771),x16773)+E(f25(f25(f9(x16771),f5(x16771,x16772)),f5(x16771,x16773)),f5(x16771,f25(f25(f9(x16771),x16772),x16773))) % 4.97/4.86 [1715]~P11(a99,x17152,x17153)+~P11(a99,f3(a99),x17153)+P10(a99,f4(a99),x17151)+~E(f10(a99,x17152,f25(f25(f9(a99),x17153),x17151)),x17153) % 4.97/4.86 [1719]~P10(a99,f3(a99),x17192)+~P11(a99,f3(a99),x17193)+P10(a99,x17191,f4(a99))+~E(f10(a99,x17192,f25(f25(f9(a99),x17193),x17191)),x17193) % 4.97/4.86 [1852]~P57(x18521)+~E(x18523,f3(x18521))+~E(x18522,f3(x18521))+P10(x18521,f10(x18521,f25(f25(f9(x18521),x18522),x18522),f25(f25(f9(x18521),x18523),x18523)),f3(x18521)) % 4.97/4.86 [1886]~P47(x18861)+~P11(x18861,x18862,f4(x18861))+~P11(x18861,f3(x18861),x18862)+P11(x18861,f25(f25(f9(x18861),x18862),f25(f25(f13(x18861),x18862),x18863)),f25(f25(f13(x18861),x18862),x18863)) % 4.97/4.86 [1916]~P11(a99,x19162,x19163)+~P11(a99,f3(a99),x19163)+P10(a99,f3(a99),x19161)+~P10(a99,f3(a99),f10(a99,f25(f25(f9(a99),x19163),x19161),x19162)) % 4.97/4.86 [1918]P10(a99,x19181,f3(a99))+~P10(a99,f3(a99),x19182)+~P11(a99,f3(a99),x19183)+~P11(a99,f10(a99,f25(f25(f9(a99),x19183),x19181),x19182),f3(a99)) % 4.97/4.86 [1940]~P57(x19402)+~E(x19401,f3(x19402))+~E(x19403,f3(x19402))+~P11(x19402,f3(x19402),f10(x19402,f25(f25(f9(x19402),x19403),x19403),f25(f25(f9(x19402),x19401),x19401))) % 4.97/4.86 [2017]~P10(a99,x20172,f25(x20171,x20173))+E(f25(x20171,f67(x20172,x20171,x20173)),x20172)+~P10(a99,f25(x20171,f3(a98)),x20172)+~P10(a99,f5(a99,f7(a99,f25(x20171,f10(a98,f68(x20172,x20171,x20173),f4(a98))),f25(x20171,f68(x20172,x20171,x20173)))),f4(a99)) % 4.97/4.86 [2018]~P10(a99,x20182,f25(x20181,x20183))+E(f25(x20181,f69(x20182,x20181,x20183)),x20182)+~P10(a99,f25(x20181,f3(a98)),x20182)+~P10(a99,f5(a99,f7(a99,f25(x20181,f10(a98,f70(x20182,x20181,x20183),f4(a98))),f25(x20181,f70(x20182,x20181,x20183)))),f4(a99)) % 4.97/4.86 [2019]~P10(a99,x20191,f25(x20192,x20193))+P10(a98,f67(x20191,x20192,x20193),x20193)+~P10(a99,f25(x20192,f3(a98)),x20191)+~P10(a99,f5(a99,f7(a99,f25(x20192,f10(a98,f68(x20191,x20192,x20193),f4(a98))),f25(x20192,f68(x20191,x20192,x20193)))),f4(a99)) % 4.97/4.86 [2020]~P10(a99,x20201,f25(x20202,x20203))+P10(a98,f69(x20201,x20202,x20203),x20203)+~P10(a99,f25(x20202,f3(a98)),x20201)+~P10(a99,f5(a99,f7(a99,f25(x20202,f10(a98,f70(x20201,x20202,x20203),f4(a98))),f25(x20202,f70(x20201,x20202,x20203)))),f4(a99)) % 4.97/4.86 [1270]~P43(x12701)+~P10(x12701,x12704,x12703)+P10(x12701,x12702,x12703)+~P10(x12701,x12702,x12704) % 4.97/4.86 [1271]~P37(x12711)+~P10(x12711,x12712,x12714)+P10(x12711,x12712,x12713)+~P10(x12711,x12714,x12713) % 4.97/4.86 [1272]~P43(x12721)+~P11(x12721,x12724,x12723)+P11(x12721,x12722,x12723)+~P10(x12721,x12722,x12724) % 4.97/4.86 [1273]~P43(x12731)+~P11(x12731,x12732,x12734)+P11(x12731,x12732,x12733)+~P10(x12731,x12734,x12733) % 4.97/4.86 [1274]~P43(x12741)+~P11(x12741,x12744,x12743)+P11(x12741,x12742,x12743)+~P11(x12741,x12742,x12744) % 4.97/4.86 [1275]~P37(x12751)+~P11(x12751,x12752,x12754)+P11(x12751,x12752,x12753)+~P10(x12751,x12754,x12753) % 4.97/4.86 [1276]~P37(x12761)+~P11(x12761,x12764,x12763)+P11(x12761,x12762,x12763)+~P10(x12761,x12762,x12764) % 4.97/4.86 [1277]~P37(x12771)+~P11(x12771,x12772,x12774)+P11(x12771,x12772,x12773)+~P11(x12771,x12774,x12773) % 4.97/4.86 [1236]~P43(x12361)+~P14(x12361,x12362)+~P10(a98,x12364,x12363)+P10(x12361,f25(x12362,x12363),f25(x12362,x12364)) % 4.97/4.86 [1237]~P43(x12371)+~P15(x12371,x12372)+~P10(a98,x12373,x12374)+P10(x12371,f25(x12372,x12373),f25(x12372,x12374)) % 4.97/4.86 [1401]~P38(x14012)+P11(f103(x14011,x14012),x14014,x14013)+~P10(f103(x14011,x14012),x14014,x14013)+P10(f103(x14011,x14012),x14013,x14014) % 4.97/4.86 [1528]~P3(x15281)+~P10(x15281,x15282,x15283)+~P10(x15281,f3(x15281),x15284)+P10(x15281,x15282,f10(x15281,x15283,x15284)) % 4.97/4.86 [1529]~P3(x15291)+~P10(x15291,x15292,x15294)+~P10(x15291,f3(x15291),x15293)+P10(x15291,x15292,f10(x15291,x15293,x15294)) % 4.97/4.86 [1530]~P47(x15301)+~P11(x15301,x15302,x15304)+~P11(x15301,f3(x15301),x15303)+P11(x15301,x15302,f10(x15301,x15303,x15304)) % 4.97/4.86 [1531]~P3(x15311)+~P10(x15311,x15312,x15314)+~P11(x15311,f3(x15311),x15313)+P11(x15311,x15312,f10(x15311,x15313,x15314)) % 4.97/4.86 [1532]~P3(x15321)+~P11(x15321,x15322,x15324)+~P10(x15321,f3(x15321),x15323)+P11(x15321,x15322,f10(x15321,x15323,x15324)) % 4.97/4.86 [1706]~P1(x17062)+E(x17061,f3(x17062))+~P10(a1,x17063,f3(a1))+~P10(a1,f23(x17062,x17061),f25(f25(f9(a1),x17063),f23(x17062,x17064))) % 4.97/4.86 [1922]~P49(x19221)+~P11(x19221,x19222,f10(x19221,x19223,x19224))+~P11(x19221,f7(x19221,x19223,x19224),x19222)+P11(x19221,f5(x19221,f7(x19221,x19222,x19223)),x19224) % 4.97/4.86 [1927]~P11(a1,x19274,x19272)+P10(a1,x19271,x19272)+~P11(a1,x19273,x19274)+~P11(a1,f5(a1,f7(a1,x19274,x19271)),f43(x19272,x19274,x19273)) % 4.97/4.86 [1928]~P11(a1,x19281,x19283)+P10(a1,x19281,x19282)+~P11(a1,x19283,x19284)+~P11(a1,f5(a1,f7(a1,x19283,x19282)),f43(x19284,x19283,x19281)) % 4.97/4.86 [1929]~P11(a1,x19294,x19292)+P11(a1,x19291,x19292)+~P11(a1,x19293,x19294)+~P11(a1,f5(a1,f7(a1,x19294,x19291)),f44(x19292,x19294,x19293)) % 4.97/4.86 [1930]~P11(a1,x19301,x19303)+P11(a1,x19301,x19302)+~P11(a1,x19303,x19304)+~P11(a1,f5(a1,f7(a1,x19303,x19302)),f44(x19304,x19303,x19301)) % 4.97/4.86 [1367]~P47(x13673)+E(x13671,x13672)+~P11(x13673,f4(x13673),x13674)+~E(f25(f25(f13(x13673),x13674),x13671),f25(f25(f13(x13673),x13674),x13672)) % 4.97/4.86 [1678]~P47(x16781)+~P10(a98,x16783,x16784)+~P11(x16781,f4(x16781),x16782)+P10(x16781,f25(f25(f13(x16781),x16782),x16783),f25(f25(f13(x16781),x16782),x16784)) % 4.97/4.86 [1679]~P47(x16791)+~P10(a98,x16793,x16794)+~P10(x16791,f4(x16791),x16792)+P10(x16791,f25(f25(f13(x16791),x16792),x16793),f25(f25(f13(x16791),x16792),x16794)) % 4.97/4.86 [1681]~P47(x16811)+~P11(a98,x16813,x16814)+~P11(x16811,f4(x16811),x16812)+P11(x16811,f25(f25(f13(x16811),x16812),x16813),f25(f25(f13(x16811),x16812),x16814)) % 4.97/4.86 [1687]~P57(x16871)+~P10(x16871,x16874,x16873)+~P11(x16871,x16872,f3(x16871))+P10(x16871,f25(f25(f9(x16871),x16872),x16873),f25(f25(f9(x16871),x16872),x16874)) % 4.97/4.86 [1688]~P65(x16881)+~P10(x16881,x16884,x16883)+~P10(x16881,x16882,f3(x16881))+P10(x16881,f25(f25(f9(x16881),x16882),x16883),f25(f25(f9(x16881),x16882),x16884)) % 4.97/4.86 [1689]~P65(x16891)+~P10(x16891,x16894,x16892)+~P10(x16891,x16893,f3(x16891))+P10(x16891,f25(f25(f9(x16891),x16892),x16893),f25(f25(f9(x16891),x16894),x16893)) % 4.97/4.86 [1693]~P57(x16931)+~P11(x16931,x16934,x16932)+~P11(x16931,x16933,f3(x16931))+P11(x16931,f25(f25(f9(x16931),x16932),x16933),f25(f25(f9(x16931),x16934),x16933)) % 4.97/4.86 [1694]~P57(x16941)+~P11(x16941,x16944,x16943)+~P11(x16941,x16942,f3(x16941))+P11(x16941,f25(f25(f9(x16941),x16942),x16943),f25(f25(f9(x16941),x16942),x16944)) % 4.97/4.86 [1695]~P57(x16951)+~P10(x16951,x16953,x16954)+~P11(x16951,f3(x16951),x16952)+P10(x16951,f25(f25(f9(x16951),x16952),x16953),f25(f25(f9(x16951),x16952),x16954)) % 4.97/4.86 [1696]~P67(x16961)+~P10(x16961,x16963,x16964)+~P10(x16961,f3(x16961),x16962)+P10(x16961,f25(f25(f9(x16961),x16962),x16963),f25(f25(f9(x16961),x16962),x16964)) % 4.97/4.86 [1697]~P66(x16971)+~P10(x16971,x16973,x16974)+~P10(x16971,f3(x16971),x16972)+P10(x16971,f25(f25(f9(x16971),x16972),x16973),f25(f25(f9(x16971),x16972),x16974)) % 4.97/4.86 [1698]~P67(x16981)+~P10(x16981,x16982,x16984)+~P10(x16981,f3(x16981),x16983)+P10(x16981,f25(f25(f9(x16981),x16982),x16983),f25(f25(f9(x16981),x16984),x16983)) % 4.97/4.86 [1699]~P47(x16991)+~P10(x16991,x16992,x16994)+~P10(x16991,f3(x16991),x16992)+P10(x16991,f25(f25(f13(x16991),x16992),x16993),f25(f25(f13(x16991),x16994),x16993)) % 4.97/4.86 [1701]~P59(x17011)+~P11(x17011,x17013,x17014)+~P11(x17011,f3(x17011),x17012)+P11(x17011,f25(f25(f9(x17011),x17012),x17013),f25(f25(f9(x17011),x17012),x17014)) % 4.97/4.86 [1702]~P53(x17021)+~P11(x17021,x17023,x17024)+~P11(x17021,f3(x17021),x17022)+P11(x17021,f25(f25(f9(x17021),x17022),x17023),f25(f25(f9(x17021),x17022),x17024)) % 4.97/4.86 [1703]~P57(x17031)+~P11(x17031,x17032,x17034)+~P11(x17031,f3(x17031),x17033)+P11(x17031,f25(f25(f9(x17031),x17032),x17033),f25(f25(f9(x17031),x17034),x17033)) % 4.97/4.86 [1704]~P59(x17041)+~P11(x17041,x17042,x17044)+~P11(x17041,f3(x17041),x17043)+P11(x17041,f25(f25(f9(x17041),x17042),x17043),f25(f25(f9(x17041),x17044),x17043)) % 4.97/4.86 [1705]~P57(x17051)+~P11(x17051,x17053,x17054)+~P11(x17051,f3(x17051),x17052)+P11(x17051,f25(f25(f9(x17051),x17052),x17053),f25(f25(f9(x17051),x17052),x17054)) % 4.97/4.86 [1781]P11(x17811,x17813,x17812)+~P57(x17811)+P11(x17811,x17812,x17813)+~P11(x17811,f25(f25(f9(x17811),x17814),x17812),f25(f25(f9(x17811),x17814),x17813)) % 4.97/4.86 [1782]P11(x17821,x17823,x17822)+~P57(x17821)+P11(x17821,x17822,x17823)+~P11(x17821,f25(f25(f9(x17821),x17822),x17824),f25(f25(f9(x17821),x17823),x17824)) % 4.97/4.86 [1786]~P57(x17861)+P11(x17861,x17862,x17863)+P11(x17861,x17864,f3(x17861))+~P11(x17861,f25(f25(f9(x17861),x17862),x17864),f25(f25(f9(x17861),x17863),x17864)) % 4.97/4.86 [1787]~P57(x17871)+P11(x17871,x17872,x17873)+P11(x17871,x17874,f3(x17871))+~P11(x17871,f25(f25(f9(x17871),x17874),x17872),f25(f25(f9(x17871),x17874),x17873)) % 4.97/4.86 [1788]~P57(x17881)+P11(x17881,x17882,x17883)+P11(x17881,f3(x17881),x17884)+~P11(x17881,f25(f25(f9(x17881),x17884),x17883),f25(f25(f9(x17881),x17884),x17882)) % 4.97/4.86 [1789]~P57(x17891)+P11(x17891,x17892,x17893)+P11(x17891,f3(x17891),x17894)+~P11(x17891,f25(f25(f9(x17891),x17893),x17894),f25(f25(f9(x17891),x17892),x17894)) % 4.97/4.86 [1805]~P57(x18051)+P11(x18051,f3(x18051),x18052)+P11(x18051,x18052,f3(x18051))+~P11(x18051,f25(f25(f9(x18051),x18053),x18052),f25(f25(f9(x18051),x18054),x18052)) % 4.97/4.86 [1806]~P57(x18061)+P11(x18061,f3(x18061),x18062)+P11(x18061,x18062,f3(x18061))+~P11(x18061,f25(f25(f9(x18061),x18062),x18063),f25(f25(f9(x18061),x18062),x18064)) % 4.97/4.86 [1824]~P47(x18243)+P10(a98,x18241,x18242)+~P11(x18243,f4(x18243),x18244)+~P10(x18243,f25(f25(f13(x18243),x18244),x18241),f25(f25(f13(x18243),x18244),x18242)) % 4.97/4.86 [1826]~P47(x18263)+P11(a98,x18261,x18262)+~P11(x18263,f4(x18263),x18264)+~P11(x18263,f25(f25(f13(x18263),x18264),x18261),f25(f25(f13(x18263),x18264),x18262)) % 4.97/4.86 [1827]~P57(x18271)+P10(x18271,x18272,x18273)+~P11(x18271,x18274,f3(x18271))+~P10(x18271,f25(f25(f9(x18271),x18274),x18273),f25(f25(f9(x18271),x18274),x18272)) % 4.97/4.86 [1828]~P57(x18281)+P11(x18281,x18282,x18283)+~P11(x18281,x18284,f3(x18281))+~P11(x18281,f25(f25(f9(x18281),x18284),x18283),f25(f25(f9(x18281),x18284),x18282)) % 4.97/4.86 [1829]~P57(x18291)+P10(x18291,x18292,x18293)+~P11(x18291,f3(x18291),x18294)+~P10(x18291,f25(f25(f9(x18291),x18294),x18292),f25(f25(f9(x18291),x18294),x18293)) % 4.97/4.86 [1830]~P59(x18301)+P10(x18301,x18302,x18303)+~P11(x18301,f3(x18301),x18304)+~P10(x18301,f25(f25(f9(x18301),x18304),x18302),f25(f25(f9(x18301),x18304),x18303)) % 4.97/4.86 [1831]~P59(x18311)+P10(x18311,x18312,x18313)+~P11(x18311,f3(x18311),x18314)+~P10(x18311,f25(f25(f9(x18311),x18312),x18314),f25(f25(f9(x18311),x18313),x18314)) % 4.97/4.86 [1832]~P57(x18321)+P11(x18321,x18322,x18323)+~P11(x18321,f3(x18321),x18324)+~P11(x18321,f25(f25(f9(x18321),x18324),x18322),f25(f25(f9(x18321),x18324),x18323)) % 4.97/4.86 [1833]~P59(x18331)+P11(x18331,x18332,x18333)+~P10(x18331,f3(x18331),x18334)+~P11(x18331,f25(f25(f9(x18331),x18334),x18332),f25(f25(f9(x18331),x18334),x18333)) % 4.97/4.86 [1834]~P60(x18341)+P11(x18341,x18342,x18343)+~P10(x18341,f3(x18341),x18344)+~P11(x18341,f25(f25(f9(x18341),x18344),x18342),f25(f25(f9(x18341),x18344),x18343)) % 4.97/4.86 [1835]~P47(x18351)+P11(x18351,x18352,x18353)+~P10(x18351,f3(x18351),x18353)+~P11(x18351,f25(f25(f13(x18351),x18352),x18354),f25(f25(f13(x18351),x18353),x18354)) % 4.97/4.86 [1836]~P59(x18361)+P11(x18361,x18362,x18363)+~P10(x18361,f3(x18361),x18364)+~P11(x18361,f25(f25(f9(x18361),x18362),x18364),f25(f25(f9(x18361),x18363),x18364)) % 4.97/4.86 [1837]~P60(x18371)+P11(x18371,x18372,x18373)+~P10(x18371,f3(x18371),x18374)+~P11(x18371,f25(f25(f9(x18371),x18372),x18374),f25(f25(f9(x18371),x18373),x18374)) % 4.97/4.86 [1968]~P47(x19681)+P10(x19681,x19682,x19683)+~P10(x19681,f3(x19681),x19683)+~P10(x19681,f25(f25(f13(x19681),x19682),f10(a98,x19684,f4(a98))),f25(f25(f13(x19681),x19683),f10(a98,x19684,f4(a98)))) % 4.97/4.86 [1983]~P1(x19831)+~P11(a1,f3(a1),x19834)+~P10(a1,f23(x19831,f25(x19832,f75(x19832,x19831,x19834))),x19834)+P10(a1,f23(x19831,f25(x19832,x19833)),f22(a98,f10(a98,f74(x19832,x19831),f4(a98)))) % 4.97/4.86 [1984]~P1(x19841)+~P11(a1,f3(a1),x19844)+~P10(a1,f23(x19841,f25(x19842,f80(x19842,x19841,x19844))),x19844)+P11(a1,f23(x19841,f25(x19842,x19843)),f22(a98,f10(a98,f79(x19842,x19841),f4(a98)))) % 4.97/4.86 [2021]~P1(x20211)+P13(x20211,x20212)+~P11(a1,f3(a1),x20213)+~P10(a1,f23(x20211,f10(x20211,f25(x20212,f54(x20212,x20211,x20213,x20214)),f8(x20211,x20214))),x20213) % 4.97/4.86 [2022]~P1(x20221)+P13(x20221,x20222)+~P11(a1,f3(a1),x20223)+~P10(a1,f23(x20221,f10(x20221,f25(x20222,f58(x20222,x20221,x20223,x20224)),f8(x20221,f25(x20222,x20224)))),x20223) % 4.97/4.86 [1163]~P17(x11635)+E(x11631,x11632)+~E(x11633,x11634)+~E(f7(x11635,x11633,x11634),f7(x11635,x11631,x11632)) % 4.97/4.86 [1447]~P30(x14471)+~P10(x14471,x14474,x14475)+P10(x14471,x14472,x14473)+~E(f7(x14471,x14474,x14475),f7(x14471,x14472,x14473)) % 4.97/4.86 [1449]~P30(x14491)+~P11(x14491,x14494,x14495)+P11(x14491,x14492,x14493)+~E(f7(x14491,x14494,x14495),f7(x14491,x14492,x14493)) % 4.97/4.86 [1682]~P32(x16821)+~P10(x16821,x16823,x16825)+~P10(x16821,x16822,x16824)+P10(x16821,f10(x16821,x16822,x16823),f10(x16821,x16824,x16825)) % 4.97/4.86 [1683]~P33(x16831)+~P10(x16831,x16833,x16835)+~P11(x16831,x16832,x16834)+P11(x16831,f10(x16831,x16832,x16833),f10(x16831,x16834,x16835)) % 4.97/4.86 [1684]~P33(x16841)+~P10(x16841,x16842,x16844)+~P11(x16841,x16843,x16845)+P11(x16841,f10(x16841,x16842,x16843),f10(x16841,x16844,x16845)) % 4.97/4.86 [1685]~P33(x16851)+~P11(x16851,x16853,x16855)+~P11(x16851,x16852,x16854)+P11(x16851,f10(x16851,x16852,x16853),f10(x16851,x16854,x16855)) % 4.97/4.86 [1880]~P1(x18801)+~P11(a1,f23(x18801,x18803),x18805)+~P11(a1,f23(x18801,x18802),x18804)+P11(a1,f23(x18801,f10(x18801,x18802,x18803)),f10(a1,x18804,x18805)) % 4.97/4.86 [1891]~P49(x18911)+~P11(x18911,f5(x18911,x18912),x18914)+~P11(x18911,f5(x18911,x18913),x18915)+P11(x18911,f25(f25(f9(x18911),f5(x18911,x18912)),f5(x18911,x18913)),f25(f25(f9(x18911),x18914),x18915)) % 4.97/4.86 [1864]~P2(x18641)+~P11(a1,f23(x18641,x18643),x18645)+~P11(a1,f23(x18641,x18642),x18644)+P11(a1,f23(x18641,f25(f25(f9(x18641),x18642),x18643)),f25(f25(f9(a1),x18644),x18645)) % 4.97/4.86 [1925]~P76(x19255)+E(x19251,x19252)+E(x19253,x19254)+~E(f10(x19255,f25(f25(f9(x19255),x19253),x19251),f25(f25(f9(x19255),x19254),x19252)),f10(x19255,f25(f25(f9(x19255),x19253),x19252),f25(f25(f9(x19255),x19254),x19251))) % 4.97/4.86 [1402]~P3(x14022)+~P10(x14022,f3(x14022),x14023)+~P10(x14022,f3(x14022),x14021)+~E(f10(x14022,x14023,x14021),f3(x14022))+E(x14021,f3(x14022)) % 4.97/4.86 [1403]~P3(x14032)+~P10(x14032,f3(x14032),x14033)+~P10(x14032,f3(x14032),x14031)+~E(f10(x14032,x14031,x14033),f3(x14032))+E(x14031,f3(x14032)) % 4.97/4.86 [1537]E(x15371,f60(x15372,x15373))+~P11(a1,f3(a1),x15372)+~P11(a1,f3(a1),x15371)+~P11(a98,f3(a98),x15373)+~E(f25(f25(f13(a1),x15371),x15373),x15372) % 4.97/4.86 [1707]~P49(x17071)+~P10(x17071,x17072,f4(x17071))+~P10(x17071,f3(x17071),x17072)+~P10(x17071,f3(x17071),x17073)+P10(x17071,f25(f25(f9(x17071),x17072),x17073),x17073) % 4.97/4.86 [1708]~P49(x17081)+~P10(x17081,x17083,f4(x17081))+~P10(x17081,f3(x17081),x17083)+~P10(x17081,f3(x17081),x17082)+P10(x17081,f25(f25(f9(x17081),x17082),x17083),x17082) % 4.97/4.86 [1807]~P47(x18071)+~P11(x18071,x18072,x18074)+~P10(x18071,f3(x18071),x18072)+~P11(a98,f3(a98),x18073)+P11(x18071,f25(f25(f13(x18071),x18072),x18073),f25(f25(f13(x18071),x18074),x18073)) % 4.97/4.86 [1812]~P47(x18121)+~P10(a98,x18124,x18123)+~P10(x18121,x18122,f4(x18121))+~P10(x18121,f3(x18121),x18122)+P10(x18121,f25(f25(f13(x18121),x18122),x18123),f25(f25(f13(x18121),x18122),x18124)) % 4.97/4.86 [1813]~P47(x18131)+~P11(a98,x18134,x18133)+~P11(x18131,x18132,f4(x18131))+~P11(x18131,f3(x18131),x18132)+P11(x18131,f25(f25(f13(x18131),x18132),x18133),f25(f25(f13(x18131),x18132),x18134)) % 4.97/4.86 [1903]~P47(x19033)+E(x19031,x19032)+~P10(x19033,f3(x19033),x19032)+~P10(x19033,f3(x19033),x19031)+~E(f25(f25(f13(x19033),x19031),f10(a98,x19034,f4(a98))),f25(f25(f13(x19033),x19032),f10(a98,x19034,f4(a98)))) % 4.97/4.86 [1952]~P10(a99,f3(a99),x19522)+~P11(a99,f3(a99),x19523)+~P77(f25(x19521,x19524))+P77(f25(x19521,f62(x19522,x19521,x19523)))+P77(f25(x19521,f7(a99,x19524,f25(f25(f9(a99),x19522),x19523)))) % 4.97/4.86 [1953]~P10(a99,f3(a99),x19532)+~P11(a99,f3(a99),x19533)+~P77(f25(x19531,x19534))+P77(f25(x19531,f63(x19532,x19531,x19533)))+P77(f25(x19531,f10(a99,x19534,f25(f25(f9(a99),x19532),x19533)))) % 4.97/4.86 [1989]~P10(a99,f3(a99),x19893)+~P11(a99,f3(a99),x19894)+~P77(f25(x19891,x19892))+~P77(f25(x19891,f10(a99,f63(x19893,x19891,x19894),x19894)))+P77(f25(x19891,f10(a99,x19892,f25(f25(f9(a99),x19893),x19894)))) % 4.97/4.86 [1990]~P10(a99,f3(a99),x19903)+~P11(a99,f3(a99),x19904)+~P77(f25(x19901,x19902))+~P77(f25(x19901,f7(a99,f62(x19903,x19901,x19904),x19904)))+P77(f25(x19901,f7(a99,x19902,f25(f25(f9(a99),x19903),x19904)))) % 4.97/4.86 [1950]~P1(x19504)+~P38(x19501)+~P10(x19501,x19502,x19505)+P10(x19501,x19502,f46(x19503,x19502,x19501,x19504))+P11(a1,f23(x19504,f25(x19503,x19505)),f10(a1,f4(a1),f23(x19504,f25(x19503,x19502)))) % 4.97/4.86 [1904]~P11(a98,x19045,x19041)+E(x19041,f3(a98))+P77(f25(x19042,x19043))+~P77(f25(x19042,f6(a98,x19044,x19041)))+~E(x19044,f10(a98,f25(f25(f9(a98),x19041),x19043),x19045)) % 4.97/4.86 [1972]P10(a99,x19721,x19722)+~P11(a99,x19723,x19724)+~P11(a99,x19723,x19725)+~P10(a99,x19724,f3(a99))+~P10(a99,f10(a99,f25(f25(f9(a99),x19723),x19722),x19725),f10(a99,f25(f25(f9(a99),x19723),x19721),x19724)) % 4.97/4.86 [1973]P10(a99,x19731,x19732)+~P11(a99,x19733,x19734)+~P11(a99,x19735,x19734)+~P10(a99,f3(a99),x19735)+~P10(a99,f10(a99,f25(f25(f9(a99),x19734),x19731),x19735),f10(a99,f25(f25(f9(a99),x19734),x19732),x19733)) % 4.97/4.86 [2023]~P1(x20231)+~P10(x20235,x20234,x20233)+~P38(x20235)+P11(a1,f23(x20231,f25(x20232,x20233)),f10(a1,f4(a1),f23(x20231,f25(x20232,x20234))))+~P11(a1,f23(x20231,f7(x20231,f25(x20232,x20234),f25(x20232,f46(x20232,x20234,x20235,x20231)))),f4(a1)) % 4.97/4.86 [1768]~P76(x17684)+E(x17681,x17682)+~E(x17685,x17686)+E(x17683,f3(x17684))+~E(f10(x17684,x17685,f25(f25(f9(x17684),x17683),x17681)),f10(x17684,x17686,f25(f25(f9(x17684),x17683),x17682))) % 4.97/4.86 [1375]~P3(x13751)+~P10(x13751,f3(x13751),x13753)+~P10(x13751,f3(x13751),x13752)+~E(x13753,f3(x13751))+~E(x13752,f3(x13751))+E(f10(x13751,x13752,x13753),f3(x13751)) % 4.97/4.86 [1006]~P63(x10062)+~P64(x10062)+~P73(x10062)+~P44(x10062)+E(x10061,f3(x10062))+~E(f25(f25(f13(x10062),x10061),x10063),f3(x10062)) % 4.97/4.86 [1007]~P63(x10072)+~P64(x10072)+~P73(x10072)+~P44(x10072)+~E(x10071,f3(a98))+~E(f25(f25(f13(x10072),x10073),x10071),f3(x10072)) % 4.97/4.86 [1714]~P47(x17143)+E(x17141,x17142)+~P10(x17143,f3(x17143),x17142)+~P10(x17143,f3(x17143),x17141)+~P11(a98,f3(a98),x17144)+~E(f25(f25(f13(x17143),x17141),x17144),f25(f25(f13(x17143),x17142),x17144)) % 4.97/4.86 [1775]~P11(a99,x17751,x17754)+E(f6(a99,x17752,x17751),x17753)+E(x17751,f3(a99))+P11(a99,f3(a99),x17751)+~P10(a99,x17754,f3(a99))+~E(x17752,f10(a99,f25(f25(f9(a99),x17751),x17753),x17754)) % 4.97/4.86 [1817]~P11(a99,x18174,x18171)+E(f6(a99,x18172,x18171),x18173)+E(x18171,f3(a99))+~P10(a99,f3(a99),x18174)+~P11(a99,f3(a99),x18171)+~E(x18172,f10(a99,f25(f25(f9(a99),x18171),x18173),x18174)) % 4.97/4.86 [1865]~P67(x18651)+~P10(x18651,x18653,x18655)+~P10(x18651,x18652,x18654)+~P10(x18651,f3(x18651),x18653)+~P10(x18651,f3(x18651),x18654)+P10(x18651,f25(f25(f9(x18651),x18652),x18653),f25(f25(f9(x18651),x18654),x18655)) % 4.97/4.86 [1866]~P67(x18661)+~P10(x18661,x18663,x18665)+~P10(x18661,x18662,x18664)+~P10(x18661,f3(x18661),x18663)+~P10(x18661,f3(x18661),x18662)+P10(x18661,f25(f25(f9(x18661),x18662),x18663),f25(f25(f9(x18661),x18664),x18665)) % 4.97/4.86 [1867]~P59(x18671)+~P10(x18671,x18673,x18675)+~P11(x18671,x18672,x18674)+~P10(x18671,f3(x18671),x18672)+~P11(x18671,f3(x18671),x18673)+P11(x18671,f25(f25(f9(x18671),x18672),x18673),f25(f25(f9(x18671),x18674),x18675)) % 4.97/4.86 [1868]~P59(x18681)+~P10(x18681,x18682,x18684)+~P11(x18681,x18683,x18685)+~P10(x18681,f3(x18681),x18683)+~P11(x18681,f3(x18681),x18682)+P11(x18681,f25(f25(f9(x18681),x18682),x18683),f25(f25(f9(x18681),x18684),x18685)) % 4.97/4.86 [1869]~P59(x18691)+~P11(x18691,x18693,x18695)+~P11(x18691,x18692,x18694)+~P10(x18691,f3(x18691),x18693)+~P10(x18691,f3(x18691),x18692)+P11(x18691,f25(f25(f9(x18691),x18692),x18693),f25(f25(f9(x18691),x18694),x18695)) % 4.97/4.86 [1870]~P59(x18701)+~P11(x18701,x18703,x18705)+~P11(x18701,x18702,x18704)+~P10(x18701,f3(x18701),x18703)+~P11(x18701,f3(x18701),x18704)+P11(x18701,f25(f25(f9(x18701),x18702),x18703),f25(f25(f9(x18701),x18704),x18705)) % 4.97/4.86 [1855]~P78(x18551,x18553,x18554)+~P11(a99,x18554,x18555)+~P10(a99,x18555,f3(a99))+~P11(a99,x18554,f3(a99))+P77(f25(x18551,x18552))+~E(x18553,f10(a99,f25(f25(f9(a99),x18554),x18552),x18555)) % 4.97/4.86 [1856]~P78(x18561,x18563,x18564)+~P11(a99,x18565,x18564)+~P10(a99,f3(a99),x18565)+~P11(a99,f3(a99),x18564)+P77(f25(x18561,x18562))+~E(x18563,f10(a99,f25(f25(f9(a99),x18564),x18562),x18565)) % 4.97/4.86 [933]~P63(x9332)+~P64(x9332)+~P73(x9332)+~P44(x9332)+~E(x9333,f3(x9332))+E(x9331,f3(a98))+E(f25(f25(f13(x9332),x9333),x9331),f3(x9332)) % 4.97/4.86 [1863]~P11(a99,x18634,x18631)+~P11(a99,x18631,x18634)+E(f6(a99,x18632,x18631),x18633)+E(x18631,f3(a99))+~P10(a99,x18634,f3(a99))+~P10(a99,f3(a99),x18634)+~E(x18632,f10(a99,f25(f25(f9(a99),x18631),x18633),x18634)) % 4.97/4.86 [1947]~P61(x19471)+~P10(x19471,x19475,x19476)+~P10(x19471,x19473,x19476)+~P10(x19471,f3(x19471),x19474)+~P10(x19471,f3(x19471),x19472)+~E(f10(x19471,x19472,x19474),f4(x19471))+P10(x19471,f10(x19471,f25(f25(f9(x19471),x19472),x19473),f25(f25(f9(x19471),x19474),x19475)),x19476) % 4.97/4.86 [1948]~P62(x19481)+~P11(x19481,x19485,x19486)+~P11(x19481,x19483,x19486)+~P10(x19481,f3(x19481),x19484)+~P10(x19481,f3(x19481),x19482)+~E(f10(x19481,x19482,x19484),f4(x19481))+P11(x19481,f10(x19481,f25(f25(f9(x19481),x19482),x19483),f25(f25(f9(x19481),x19484),x19485)),x19486) % 4.97/4.86 [1979]~P10(a99,x19795,x19793)+~P11(a99,x19796,x19795)+P10(a99,x19791,x19792)+~P10(a99,f3(a99),x19794)+~P11(a99,f3(a99),x19795)+~P10(a99,f3(a99),f10(a99,f25(f25(f9(a99),x19795),x19792),x19796))+~E(f10(a99,f25(f25(f9(a99),x19793),x19791),x19794),f10(a99,f25(f25(f9(a99),x19795),x19792),x19796)) % 4.97/4.86 [1980]~P10(a99,x19805,x19803)+~P11(a99,x19804,x19803)+P10(a99,x19801,x19802)+~P10(a99,f3(a99),x19806)+~P11(a99,f3(a99),x19805)+~P11(a99,f10(a99,f25(f25(f9(a99),x19805),x19801),x19806),f3(a99))+~E(f10(a99,f25(f25(f9(a99),x19803),x19802),x19804),f10(a99,f25(f25(f9(a99),x19805),x19801),x19806)) % 4.97/4.86 %EqnAxiom % 4.97/4.86 [1]E(x11,x11) % 4.97/4.86 [2]E(x22,x21)+~E(x21,x22) % 4.97/4.86 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 4.97/4.86 [4]~E(x41,x42)+E(f3(x41),f3(x42)) % 4.97/4.86 [5]~E(x51,x52)+E(f12(x51),f12(x52)) % 4.97/4.86 [6]~E(x61,x62)+E(f4(x61),f4(x62)) % 4.97/4.86 [7]~E(x71,x72)+E(f9(x71),f9(x72)) % 4.97/4.86 [8]~E(x81,x82)+E(f25(x81,x83),f25(x82,x83)) % 4.97/4.86 [9]~E(x91,x92)+E(f25(x93,x91),f25(x93,x92)) % 4.97/4.86 [10]~E(x101,x102)+E(f101(x101),f101(x102)) % 4.97/4.86 [11]~E(x111,x112)+E(f23(x111,x113),f23(x112,x113)) % 4.97/4.86 [12]~E(x121,x122)+E(f23(x123,x121),f23(x123,x122)) % 4.97/4.86 [13]~E(x131,x132)+E(f20(x131),f20(x132)) % 4.97/4.86 [14]~E(x141,x142)+E(f7(x141,x143,x144),f7(x142,x143,x144)) % 4.97/4.86 [15]~E(x151,x152)+E(f7(x153,x151,x154),f7(x153,x152,x154)) % 4.97/4.86 [16]~E(x161,x162)+E(f7(x163,x164,x161),f7(x163,x164,x162)) % 4.97/4.86 [17]~E(x171,x172)+E(f13(x171),f13(x172)) % 4.97/4.86 [18]~E(x181,x182)+E(f10(x181,x183,x184),f10(x182,x183,x184)) % 4.97/4.86 [19]~E(x191,x192)+E(f10(x193,x191,x194),f10(x193,x192,x194)) % 4.97/4.86 [20]~E(x201,x202)+E(f10(x203,x204,x201),f10(x203,x204,x202)) % 4.97/4.86 [21]~E(x211,x212)+E(f60(x211,x213),f60(x212,x213)) % 4.97/4.86 [22]~E(x221,x222)+E(f60(x223,x221),f60(x223,x222)) % 4.97/4.86 [23]~E(x231,x232)+E(f15(x231,x233),f15(x232,x233)) % 4.97/4.86 [24]~E(x241,x242)+E(f15(x243,x241),f15(x243,x242)) % 4.97/4.86 [25]~E(x251,x252)+E(f21(x251),f21(x252)) % 4.97/4.86 [26]~E(x261,x262)+E(f11(x261,x263),f11(x262,x263)) % 4.97/4.86 [27]~E(x271,x272)+E(f11(x273,x271),f11(x273,x272)) % 4.97/4.86 [28]~E(x281,x282)+E(f46(x281,x283,x284,x285),f46(x282,x283,x284,x285)) % 4.97/4.86 [29]~E(x291,x292)+E(f46(x293,x291,x294,x295),f46(x293,x292,x294,x295)) % 4.97/4.86 [30]~E(x301,x302)+E(f46(x303,x304,x301,x305),f46(x303,x304,x302,x305)) % 4.97/4.86 [31]~E(x311,x312)+E(f46(x313,x314,x315,x311),f46(x313,x314,x315,x312)) % 4.97/4.86 [32]~E(x321,x322)+E(f8(x321,x323),f8(x322,x323)) % 4.97/4.86 [33]~E(x331,x332)+E(f8(x333,x331),f8(x333,x332)) % 4.97/4.86 [34]~E(x341,x342)+E(f17(x341,x343),f17(x342,x343)) % 4.97/4.86 [35]~E(x351,x352)+E(f17(x353,x351),f17(x353,x352)) % 4.97/4.86 [36]~E(x361,x362)+E(f32(x361,x363,x364),f32(x362,x363,x364)) % 4.97/4.86 [37]~E(x371,x372)+E(f32(x373,x371,x374),f32(x373,x372,x374)) % 4.97/4.86 [38]~E(x381,x382)+E(f32(x383,x384,x381),f32(x383,x384,x382)) % 4.97/4.86 [39]~E(x391,x392)+E(f22(x391,x393),f22(x392,x393)) % 4.97/4.86 [40]~E(x401,x402)+E(f22(x403,x401),f22(x403,x402)) % 4.97/4.86 [41]~E(x411,x412)+E(f6(x411,x413,x414),f6(x412,x413,x414)) % 4.97/4.86 [42]~E(x421,x422)+E(f6(x423,x421,x424),f6(x423,x422,x424)) % 4.97/4.86 [43]~E(x431,x432)+E(f6(x433,x434,x431),f6(x433,x434,x432)) % 4.97/4.86 [44]~E(x441,x442)+E(f5(x441,x443),f5(x442,x443)) % 4.97/4.86 [45]~E(x451,x452)+E(f5(x453,x451),f5(x453,x452)) % 4.97/4.86 [46]~E(x461,x462)+E(f70(x461,x463,x464),f70(x462,x463,x464)) % 4.97/4.86 [47]~E(x471,x472)+E(f70(x473,x471,x474),f70(x473,x472,x474)) % 4.97/4.86 [48]~E(x481,x482)+E(f70(x483,x484,x481),f70(x483,x484,x482)) % 4.97/4.86 [49]~E(x491,x492)+E(f93(x491,x493,x494),f93(x492,x493,x494)) % 4.97/4.86 [50]~E(x501,x502)+E(f93(x503,x501,x504),f93(x503,x502,x504)) % 4.97/4.86 [51]~E(x511,x512)+E(f93(x513,x514,x511),f93(x513,x514,x512)) % 4.97/4.86 [52]~E(x521,x522)+E(f67(x521,x523,x524),f67(x522,x523,x524)) % 4.97/4.86 [53]~E(x531,x532)+E(f67(x533,x531,x534),f67(x533,x532,x534)) % 4.97/4.86 [54]~E(x541,x542)+E(f67(x543,x544,x541),f67(x543,x544,x542)) % 4.97/4.86 [55]~E(x551,x552)+E(f94(x551,x553,x554),f94(x552,x553,x554)) % 4.97/4.86 [56]~E(x561,x562)+E(f94(x563,x561,x564),f94(x563,x562,x564)) % 4.97/4.86 [57]~E(x571,x572)+E(f94(x573,x574,x571),f94(x573,x574,x572)) % 4.97/4.86 [58]~E(x581,x582)+E(f95(x581,x583,x584),f95(x582,x583,x584)) % 4.97/4.86 [59]~E(x591,x592)+E(f95(x593,x591,x594),f95(x593,x592,x594)) % 4.97/4.86 [60]~E(x601,x602)+E(f95(x603,x604,x601),f95(x603,x604,x602)) % 4.97/4.86 [61]~E(x611,x612)+E(f84(x611),f84(x612)) % 4.97/4.86 [62]~E(x621,x622)+E(f49(x621,x623),f49(x622,x623)) % 4.97/4.86 [63]~E(x631,x632)+E(f49(x633,x631),f49(x633,x632)) % 4.97/4.86 [64]~E(x641,x642)+E(f92(x641,x643,x644),f92(x642,x643,x644)) % 4.97/4.86 [65]~E(x651,x652)+E(f92(x653,x651,x654),f92(x653,x652,x654)) % 4.97/4.86 [66]~E(x661,x662)+E(f92(x663,x664,x661),f92(x663,x664,x662)) % 4.97/4.86 [67]~E(x671,x672)+E(f90(x671,x673,x674),f90(x672,x673,x674)) % 4.97/4.86 [68]~E(x681,x682)+E(f90(x683,x681,x684),f90(x683,x682,x684)) % 4.97/4.86 [69]~E(x691,x692)+E(f90(x693,x694,x691),f90(x693,x694,x692)) % 4.97/4.86 [70]~E(x701,x702)+E(f18(x701,x703,x704),f18(x702,x703,x704)) % 4.97/4.86 [71]~E(x711,x712)+E(f18(x713,x711,x714),f18(x713,x712,x714)) % 4.97/4.86 [72]~E(x721,x722)+E(f18(x723,x724,x721),f18(x723,x724,x722)) % 4.97/4.86 [73]~E(x731,x732)+E(f89(x731,x733,x734),f89(x732,x733,x734)) % 4.97/4.86 [74]~E(x741,x742)+E(f89(x743,x741,x744),f89(x743,x742,x744)) % 4.97/4.86 [75]~E(x751,x752)+E(f89(x753,x754,x751),f89(x753,x754,x752)) % 4.97/4.86 [76]~E(x761,x762)+E(f55(x761,x763),f55(x762,x763)) % 4.97/4.86 [77]~E(x771,x772)+E(f55(x773,x771),f55(x773,x772)) % 4.97/4.86 [78]~E(x781,x782)+E(f59(x781,x783),f59(x782,x783)) % 4.97/4.86 [79]~E(x791,x792)+E(f59(x793,x791),f59(x793,x792)) % 4.97/4.86 [80]~E(x801,x802)+E(f103(x801,x803),f103(x802,x803)) % 4.97/4.86 [81]~E(x811,x812)+E(f103(x813,x811),f103(x813,x812)) % 4.97/4.86 [82]~E(x821,x822)+E(f51(x821,x823,x824),f51(x822,x823,x824)) % 4.97/4.86 [83]~E(x831,x832)+E(f51(x833,x831,x834),f51(x833,x832,x834)) % 4.97/4.86 [84]~E(x841,x842)+E(f51(x843,x844,x841),f51(x843,x844,x842)) % 4.97/4.86 [85]~E(x851,x852)+E(f62(x851,x853,x854),f62(x852,x853,x854)) % 4.97/4.86 [86]~E(x861,x862)+E(f62(x863,x861,x864),f62(x863,x862,x864)) % 4.97/4.86 [87]~E(x871,x872)+E(f62(x873,x874,x871),f62(x873,x874,x872)) % 4.97/4.86 [88]~E(x881,x882)+E(f47(x881,x883),f47(x882,x883)) % 4.97/4.86 [89]~E(x891,x892)+E(f47(x893,x891),f47(x893,x892)) % 4.97/4.86 [90]~E(x901,x902)+E(f44(x901,x903,x904),f44(x902,x903,x904)) % 4.97/4.86 [91]~E(x911,x912)+E(f44(x913,x911,x914),f44(x913,x912,x914)) % 4.97/4.86 [92]~E(x921,x922)+E(f44(x923,x924,x921),f44(x923,x924,x922)) % 4.97/4.86 [93]~E(x931,x932)+E(f64(x931,x933),f64(x932,x933)) % 4.97/4.86 [94]~E(x941,x942)+E(f64(x943,x941),f64(x943,x942)) % 4.97/4.86 [95]~E(x951,x952)+E(f73(x951,x953,x954),f73(x952,x953,x954)) % 4.97/4.86 [96]~E(x961,x962)+E(f73(x963,x961,x964),f73(x963,x962,x964)) % 4.97/4.86 [97]~E(x971,x972)+E(f73(x973,x974,x971),f73(x973,x974,x972)) % 4.97/4.86 [98]~E(x981,x982)+E(f86(x981,x983),f86(x982,x983)) % 4.97/4.86 [99]~E(x991,x992)+E(f86(x993,x991),f86(x993,x992)) % 4.97/4.86 [100]~E(x1001,x1002)+E(f71(x1001,x1003,x1004,x1005),f71(x1002,x1003,x1004,x1005)) % 4.97/4.86 [101]~E(x1011,x1012)+E(f71(x1013,x1011,x1014,x1015),f71(x1013,x1012,x1014,x1015)) % 4.97/4.86 [102]~E(x1021,x1022)+E(f71(x1023,x1024,x1021,x1025),f71(x1023,x1024,x1022,x1025)) % 4.97/4.86 [103]~E(x1031,x1032)+E(f71(x1033,x1034,x1035,x1031),f71(x1033,x1034,x1035,x1032)) % 4.97/4.86 [104]~E(x1041,x1042)+E(f96(x1041,x1043),f96(x1042,x1043)) % 4.97/4.86 [105]~E(x1051,x1052)+E(f96(x1053,x1051),f96(x1053,x1052)) % 4.97/4.86 [106]~E(x1061,x1062)+E(f27(x1061),f27(x1062)) % 4.97/4.86 [107]~E(x1071,x1072)+E(f65(x1071,x1073),f65(x1072,x1073)) % 4.97/4.86 [108]~E(x1081,x1082)+E(f65(x1083,x1081),f65(x1083,x1082)) % 4.97/4.86 [109]~E(x1091,x1092)+E(f82(x1091,x1093),f82(x1092,x1093)) % 4.97/4.86 [110]~E(x1101,x1102)+E(f82(x1103,x1101),f82(x1103,x1102)) % 4.97/4.86 [111]~E(x1111,x1112)+E(f80(x1111,x1113,x1114),f80(x1112,x1113,x1114)) % 4.97/4.86 [112]~E(x1121,x1122)+E(f80(x1123,x1121,x1124),f80(x1123,x1122,x1124)) % 4.97/4.86 [113]~E(x1131,x1132)+E(f80(x1133,x1134,x1131),f80(x1133,x1134,x1132)) % 4.97/4.86 [114]~E(x1141,x1142)+E(f16(x1141,x1143),f16(x1142,x1143)) % 4.97/4.86 [115]~E(x1151,x1152)+E(f16(x1153,x1151),f16(x1153,x1152)) % 4.97/4.86 [116]~E(x1161,x1162)+E(f66(x1161,x1163),f66(x1162,x1163)) % 4.97/4.86 [117]~E(x1171,x1172)+E(f66(x1173,x1171),f66(x1173,x1172)) % 4.97/4.86 [118]~E(x1181,x1182)+E(f38(x1181,x1183,x1184),f38(x1182,x1183,x1184)) % 4.97/4.86 [119]~E(x1191,x1192)+E(f38(x1193,x1191,x1194),f38(x1193,x1192,x1194)) % 4.97/4.86 [120]~E(x1201,x1202)+E(f38(x1203,x1204,x1201),f38(x1203,x1204,x1202)) % 4.97/4.86 [121]~E(x1211,x1212)+E(f28(x1211,x1213),f28(x1212,x1213)) % 4.97/4.86 [122]~E(x1221,x1222)+E(f28(x1223,x1221),f28(x1223,x1222)) % 4.97/4.86 [123]~E(x1231,x1232)+E(f39(x1231,x1233,x1234),f39(x1232,x1233,x1234)) % 4.97/4.86 [124]~E(x1241,x1242)+E(f39(x1243,x1241,x1244),f39(x1243,x1242,x1244)) % 4.97/4.86 [125]~E(x1251,x1252)+E(f39(x1253,x1254,x1251),f39(x1253,x1254,x1252)) % 4.97/4.86 [126]~E(x1261,x1262)+E(f40(x1261,x1263),f40(x1262,x1263)) % 4.97/4.86 [127]~E(x1271,x1272)+E(f40(x1273,x1271),f40(x1273,x1272)) % 4.97/4.86 [128]~E(x1281,x1282)+E(f30(x1281,x1283),f30(x1282,x1283)) % 4.97/4.86 [129]~E(x1291,x1292)+E(f30(x1293,x1291),f30(x1293,x1292)) % 4.97/4.86 [130]~E(x1301,x1302)+E(f68(x1301,x1303,x1304),f68(x1302,x1303,x1304)) % 4.97/4.86 [131]~E(x1311,x1312)+E(f68(x1313,x1311,x1314),f68(x1313,x1312,x1314)) % 4.97/4.86 [132]~E(x1321,x1322)+E(f68(x1323,x1324,x1321),f68(x1323,x1324,x1322)) % 4.97/4.86 [133]~E(x1331,x1332)+E(f74(x1331,x1333),f74(x1332,x1333)) % 4.97/4.86 [134]~E(x1341,x1342)+E(f74(x1343,x1341),f74(x1343,x1342)) % 4.97/4.86 [135]~E(x1351,x1352)+E(f81(x1351,x1353),f81(x1352,x1353)) % 4.97/4.86 [136]~E(x1361,x1362)+E(f81(x1363,x1361),f81(x1363,x1362)) % 4.97/4.86 [137]~E(x1371,x1372)+E(f42(x1371),f42(x1372)) % 4.97/4.86 [138]~E(x1381,x1382)+E(f85(x1381,x1383),f85(x1382,x1383)) % 4.97/4.86 [139]~E(x1391,x1392)+E(f85(x1393,x1391),f85(x1393,x1392)) % 4.97/4.86 [140]~E(x1401,x1402)+E(f48(x1401),f48(x1402)) % 4.97/4.86 [141]~E(x1411,x1412)+E(f50(x1411,x1413),f50(x1412,x1413)) % 4.97/4.86 [142]~E(x1421,x1422)+E(f50(x1423,x1421),f50(x1423,x1422)) % 4.97/4.86 [143]~E(x1431,x1432)+E(f34(x1431,x1433),f34(x1432,x1433)) % 4.97/4.86 [144]~E(x1441,x1442)+E(f34(x1443,x1441),f34(x1443,x1442)) % 4.97/4.86 [145]~E(x1451,x1452)+E(f14(x1451,x1453,x1454),f14(x1452,x1453,x1454)) % 4.97/4.86 [146]~E(x1461,x1462)+E(f14(x1463,x1461,x1464),f14(x1463,x1462,x1464)) % 4.97/4.86 [147]~E(x1471,x1472)+E(f14(x1473,x1474,x1471),f14(x1473,x1474,x1472)) % 4.97/4.86 [148]~E(x1481,x1482)+E(f29(x1481,x1483),f29(x1482,x1483)) % 4.97/4.86 [149]~E(x1491,x1492)+E(f29(x1493,x1491),f29(x1493,x1492)) % 4.97/4.86 [150]~E(x1501,x1502)+E(f19(x1501,x1503,x1504,x1505,x1506),f19(x1502,x1503,x1504,x1505,x1506)) % 4.97/4.86 [151]~E(x1511,x1512)+E(f19(x1513,x1511,x1514,x1515,x1516),f19(x1513,x1512,x1514,x1515,x1516)) % 4.97/4.86 [152]~E(x1521,x1522)+E(f19(x1523,x1524,x1521,x1525,x1526),f19(x1523,x1524,x1522,x1525,x1526)) % 4.97/4.86 [153]~E(x1531,x1532)+E(f19(x1533,x1534,x1535,x1531,x1536),f19(x1533,x1534,x1535,x1532,x1536)) % 4.97/4.86 [154]~E(x1541,x1542)+E(f19(x1543,x1544,x1545,x1546,x1541),f19(x1543,x1544,x1545,x1546,x1542)) % 4.97/4.86 [155]~E(x1551,x1552)+E(f33(x1551,x1553),f33(x1552,x1553)) % 4.97/4.86 [156]~E(x1561,x1562)+E(f33(x1563,x1561),f33(x1563,x1562)) % 4.97/4.86 [157]~E(x1571,x1572)+E(f97(x1571,x1573),f97(x1572,x1573)) % 4.97/4.86 [158]~E(x1581,x1582)+E(f97(x1583,x1581),f97(x1583,x1582)) % 4.97/4.86 [159]~E(x1591,x1592)+E(f35(x1591),f35(x1592)) % 4.97/4.86 [160]~E(x1601,x1602)+E(f72(x1601,x1603),f72(x1602,x1603)) % 4.97/4.86 [161]~E(x1611,x1612)+E(f72(x1613,x1611),f72(x1613,x1612)) % 4.97/4.86 [162]~E(x1621,x1622)+E(f45(x1621,x1623),f45(x1622,x1623)) % 4.97/4.86 [163]~E(x1631,x1632)+E(f45(x1633,x1631),f45(x1633,x1632)) % 4.97/4.86 [164]~E(x1641,x1642)+E(f58(x1641,x1643,x1644,x1645),f58(x1642,x1643,x1644,x1645)) % 4.97/4.86 [165]~E(x1651,x1652)+E(f58(x1653,x1651,x1654,x1655),f58(x1653,x1652,x1654,x1655)) % 4.97/4.86 [166]~E(x1661,x1662)+E(f58(x1663,x1664,x1661,x1665),f58(x1663,x1664,x1662,x1665)) % 4.97/4.86 [167]~E(x1671,x1672)+E(f58(x1673,x1674,x1675,x1671),f58(x1673,x1674,x1675,x1672)) % 4.97/4.86 [168]~E(x1681,x1682)+E(f41(x1681,x1683),f41(x1682,x1683)) % 4.97/4.86 [169]~E(x1691,x1692)+E(f41(x1693,x1691),f41(x1693,x1692)) % 4.97/4.86 [170]~E(x1701,x1702)+E(f31(x1701,x1703),f31(x1702,x1703)) % 4.97/4.86 [171]~E(x1711,x1712)+E(f31(x1713,x1711),f31(x1713,x1712)) % 4.97/4.86 [172]~E(x1721,x1722)+E(f77(x1721,x1723),f77(x1722,x1723)) % 4.97/4.86 [173]~E(x1731,x1732)+E(f77(x1733,x1731),f77(x1733,x1732)) % 4.97/4.86 [174]~E(x1741,x1742)+E(f36(x1741,x1743,x1744),f36(x1742,x1743,x1744)) % 4.97/4.86 [175]~E(x1751,x1752)+E(f36(x1753,x1751,x1754),f36(x1753,x1752,x1754)) % 4.97/4.86 [176]~E(x1761,x1762)+E(f36(x1763,x1764,x1761),f36(x1763,x1764,x1762)) % 4.97/4.86 [177]~E(x1771,x1772)+E(f76(x1771,x1773,x1774,x1775),f76(x1772,x1773,x1774,x1775)) % 4.97/4.86 [178]~E(x1781,x1782)+E(f76(x1783,x1781,x1784,x1785),f76(x1783,x1782,x1784,x1785)) % 4.97/4.86 [179]~E(x1791,x1792)+E(f76(x1793,x1794,x1791,x1795),f76(x1793,x1794,x1792,x1795)) % 4.97/4.86 [180]~E(x1801,x1802)+E(f76(x1803,x1804,x1805,x1801),f76(x1803,x1804,x1805,x1802)) % 4.97/4.86 [181]~E(x1811,x1812)+E(f24(x1811,x1813),f24(x1812,x1813)) % 4.97/4.86 [182]~E(x1821,x1822)+E(f24(x1823,x1821),f24(x1823,x1822)) % 4.97/4.86 [183]~E(x1831,x1832)+E(f57(x1831,x1833),f57(x1832,x1833)) % 4.97/4.86 [184]~E(x1841,x1842)+E(f57(x1843,x1841),f57(x1843,x1842)) % 4.97/4.86 [185]~E(x1851,x1852)+E(f52(x1851,x1853),f52(x1852,x1853)) % 4.97/4.86 [186]~E(x1861,x1862)+E(f52(x1863,x1861),f52(x1863,x1862)) % 4.97/4.86 [187]~E(x1871,x1872)+E(f69(x1871,x1873,x1874),f69(x1872,x1873,x1874)) % 4.97/4.86 [188]~E(x1881,x1882)+E(f69(x1883,x1881,x1884),f69(x1883,x1882,x1884)) % 4.97/4.86 [189]~E(x1891,x1892)+E(f69(x1893,x1894,x1891),f69(x1893,x1894,x1892)) % 4.97/4.86 [190]~E(x1901,x1902)+E(f54(x1901,x1903,x1904,x1905),f54(x1902,x1903,x1904,x1905)) % 4.97/4.86 [191]~E(x1911,x1912)+E(f54(x1913,x1911,x1914,x1915),f54(x1913,x1912,x1914,x1915)) % 4.97/4.86 [192]~E(x1921,x1922)+E(f54(x1923,x1924,x1921,x1925),f54(x1923,x1924,x1922,x1925)) % 4.97/4.86 [193]~E(x1931,x1932)+E(f54(x1933,x1934,x1935,x1931),f54(x1933,x1934,x1935,x1932)) % 4.97/4.86 [194]~E(x1941,x1942)+E(f37(x1941,x1943,x1944),f37(x1942,x1943,x1944)) % 4.97/4.86 [195]~E(x1951,x1952)+E(f37(x1953,x1951,x1954),f37(x1953,x1952,x1954)) % 4.97/4.86 [196]~E(x1961,x1962)+E(f37(x1963,x1964,x1961),f37(x1963,x1964,x1962)) % 4.97/4.86 [197]~E(x1971,x1972)+E(f91(x1971,x1973,x1974),f91(x1972,x1973,x1974)) % 4.97/4.86 [198]~E(x1981,x1982)+E(f91(x1983,x1981,x1984),f91(x1983,x1982,x1984)) % 4.97/4.86 [199]~E(x1991,x1992)+E(f91(x1993,x1994,x1991),f91(x1993,x1994,x1992)) % 4.97/4.86 [200]~E(x2001,x2002)+E(f88(x2001,x2003),f88(x2002,x2003)) % 4.97/4.86 [201]~E(x2011,x2012)+E(f88(x2013,x2011),f88(x2013,x2012)) % 4.97/4.86 [202]~E(x2021,x2022)+E(f63(x2021,x2023,x2024),f63(x2022,x2023,x2024)) % 4.97/4.86 [203]~E(x2031,x2032)+E(f63(x2033,x2031,x2034),f63(x2033,x2032,x2034)) % 4.97/4.86 [204]~E(x2041,x2042)+E(f63(x2043,x2044,x2041),f63(x2043,x2044,x2042)) % 4.97/4.86 [205]~E(x2051,x2052)+E(f83(x2051),f83(x2052)) % 4.97/4.86 [206]~E(x2061,x2062)+E(f53(x2061,x2063),f53(x2062,x2063)) % 4.97/4.86 [207]~E(x2071,x2072)+E(f53(x2073,x2071),f53(x2073,x2072)) % 4.97/4.86 [208]~E(x2081,x2082)+E(f75(x2081,x2083,x2084),f75(x2082,x2083,x2084)) % 4.97/4.86 [209]~E(x2091,x2092)+E(f75(x2093,x2091,x2094),f75(x2093,x2092,x2094)) % 4.97/4.86 [210]~E(x2101,x2102)+E(f75(x2103,x2104,x2101),f75(x2103,x2104,x2102)) % 4.97/4.86 [211]~E(x2111,x2112)+E(f87(x2111,x2113,x2114),f87(x2112,x2113,x2114)) % 4.97/4.86 [212]~E(x2121,x2122)+E(f87(x2123,x2121,x2124),f87(x2123,x2122,x2124)) % 4.97/4.86 [213]~E(x2131,x2132)+E(f87(x2133,x2134,x2131),f87(x2133,x2134,x2132)) % 4.97/4.86 [214]~E(x2141,x2142)+E(f79(x2141,x2143),f79(x2142,x2143)) % 4.97/4.86 [215]~E(x2151,x2152)+E(f79(x2153,x2151),f79(x2153,x2152)) % 4.97/4.86 [216]~E(x2161,x2162)+E(f43(x2161,x2163,x2164),f43(x2162,x2163,x2164)) % 4.97/4.86 [217]~E(x2171,x2172)+E(f43(x2173,x2171,x2174),f43(x2173,x2172,x2174)) % 4.97/4.86 [218]~E(x2181,x2182)+E(f43(x2183,x2184,x2181),f43(x2183,x2184,x2182)) % 4.97/4.86 [219]~E(x2191,x2192)+E(f78(x2191,x2193,x2194),f78(x2192,x2193,x2194)) % 4.97/4.86 [220]~E(x2201,x2202)+E(f78(x2203,x2201,x2204),f78(x2203,x2202,x2204)) % 4.97/4.86 [221]~E(x2211,x2212)+E(f78(x2213,x2214,x2211),f78(x2213,x2214,x2212)) % 4.97/4.86 [222]~E(x2221,x2222)+E(f56(x2221,x2223,x2224),f56(x2222,x2223,x2224)) % 4.97/4.86 [223]~E(x2231,x2232)+E(f56(x2233,x2231,x2234),f56(x2233,x2232,x2234)) % 4.97/4.86 [224]~E(x2241,x2242)+E(f56(x2243,x2244,x2241),f56(x2243,x2244,x2242)) % 4.97/4.86 [225]~P1(x2251)+P1(x2252)+~E(x2251,x2252) % 4.97/4.86 [226]P11(x2262,x2263,x2264)+~E(x2261,x2262)+~P11(x2261,x2263,x2264) % 4.97/4.86 [227]P11(x2273,x2272,x2274)+~E(x2271,x2272)+~P11(x2273,x2271,x2274) % 4.97/4.86 [228]P11(x2283,x2284,x2282)+~E(x2281,x2282)+~P11(x2283,x2284,x2281) % 4.97/4.86 [229]~P2(x2291)+P2(x2292)+~E(x2291,x2292) % 4.97/4.86 [230]P10(x2302,x2303,x2304)+~E(x2301,x2302)+~P10(x2301,x2303,x2304) % 4.97/4.86 [231]P10(x2313,x2312,x2314)+~E(x2311,x2312)+~P10(x2313,x2311,x2314) % 4.97/4.86 [232]P10(x2323,x2324,x2322)+~E(x2321,x2322)+~P10(x2323,x2324,x2321) % 4.97/4.86 [233]~P47(x2331)+P47(x2332)+~E(x2331,x2332) % 4.97/4.86 [234]~P43(x2341)+P43(x2342)+~E(x2341,x2342) % 4.97/4.86 [235]P14(x2352,x2353)+~E(x2351,x2352)+~P14(x2351,x2353) % 4.97/4.86 [236]P14(x2363,x2362)+~E(x2361,x2362)+~P14(x2363,x2361) % 4.97/4.86 [237]~P48(x2371)+P48(x2372)+~E(x2371,x2372) % 4.97/4.86 [238]~P67(x2381)+P67(x2382)+~E(x2381,x2382) % 4.97/4.86 [239]~P57(x2391)+P57(x2392)+~E(x2391,x2392) % 4.97/4.86 [240]~P77(x2401)+P77(x2402)+~E(x2401,x2402) % 4.97/4.86 [241]~P45(x2411)+P45(x2412)+~E(x2411,x2412) % 4.97/4.86 [242]~P49(x2421)+P49(x2422)+~E(x2421,x2422) % 4.97/4.86 [243]~P58(x2431)+P58(x2432)+~E(x2431,x2432) % 4.97/4.86 [244]~P27(x2441)+P27(x2442)+~E(x2441,x2442) % 4.97/4.86 [245]~P54(x2451)+P54(x2452)+~E(x2451,x2452) % 4.97/4.86 [246]~P65(x2461)+P65(x2462)+~E(x2461,x2462) % 4.97/4.86 [247]~P4(x2471)+P4(x2472)+~E(x2471,x2472) % 4.97/4.86 [248]P78(x2482,x2483,x2484)+~E(x2481,x2482)+~P78(x2481,x2483,x2484) % 4.97/4.86 [249]P78(x2493,x2492,x2494)+~E(x2491,x2492)+~P78(x2493,x2491,x2494) % 4.97/4.86 [250]P78(x2503,x2504,x2502)+~E(x2501,x2502)+~P78(x2503,x2504,x2501) % 4.97/4.86 [251]~P25(x2511)+P25(x2512)+~E(x2511,x2512) % 4.97/4.86 [252]~P30(x2521)+P30(x2522)+~E(x2521,x2522) % 4.97/4.86 [253]~P66(x2531)+P66(x2532)+~E(x2531,x2532) % 4.97/4.86 [254]~P18(x2541)+P18(x2542)+~E(x2541,x2542) % 4.97/4.86 [255]~P31(x2551)+P31(x2552)+~E(x2551,x2552) % 4.97/4.86 [256]~P59(x2561)+P59(x2562)+~E(x2561,x2562) % 4.97/4.86 [257]~P17(x2571)+P17(x2572)+~E(x2571,x2572) % 4.97/4.86 [258]~P56(x2581)+P56(x2582)+~E(x2581,x2582) % 4.97/4.86 [259]~P60(x2591)+P60(x2592)+~E(x2591,x2592) % 4.97/4.86 [260]~P69(x2601)+P69(x2602)+~E(x2601,x2602) % 4.97/4.86 [261]~P70(x2611)+P70(x2612)+~E(x2611,x2612) % 4.97/4.86 [262]~P8(x2621)+P8(x2622)+~E(x2621,x2622) % 4.97/4.86 [263]~P63(x2631)+P63(x2632)+~E(x2631,x2632) % 4.97/4.86 [264]~P68(x2641)+P68(x2642)+~E(x2641,x2642) % 4.97/4.86 [265]~P62(x2651)+P62(x2652)+~E(x2651,x2652) % 4.97/4.86 [266]~P61(x2661)+P61(x2662)+~E(x2661,x2662) % 4.97/4.86 [267]~P3(x2671)+P3(x2672)+~E(x2671,x2672) % 4.97/4.86 [268]~P41(x2681)+P41(x2682)+~E(x2681,x2682) % 4.97/4.86 [269]~P38(x2691)+P38(x2692)+~E(x2691,x2692) % 4.97/4.86 [270]~P24(x2701)+P24(x2702)+~E(x2701,x2702) % 4.97/4.86 [271]~P23(x2711)+P23(x2712)+~E(x2711,x2712) % 4.97/4.86 [272]~P9(x2721)+P9(x2722)+~E(x2721,x2722) % 4.97/4.86 [273]~P44(x2731)+P44(x2732)+~E(x2731,x2732) % 4.97/4.86 [274]~P76(x2741)+P76(x2742)+~E(x2741,x2742) % 4.97/4.86 [275]P13(x2752,x2753)+~E(x2751,x2752)+~P13(x2751,x2753) % 4.97/4.86 [276]P13(x2763,x2762)+~E(x2761,x2762)+~P13(x2763,x2761) % 4.97/4.86 [277]~P71(x2771)+P71(x2772)+~E(x2771,x2772) % 4.97/4.86 [278]~P64(x2781)+P64(x2782)+~E(x2781,x2782) % 4.97/4.86 [279]~P55(x2791)+P55(x2792)+~E(x2791,x2792) % 4.97/4.86 [280]~P26(x2801)+P26(x2802)+~E(x2801,x2802) % 4.97/4.86 [281]~P20(x2811)+P20(x2812)+~E(x2811,x2812) % 4.97/4.86 [282]~P73(x2821)+P73(x2822)+~E(x2821,x2822) % 4.97/4.86 [283]~P39(x2831)+P39(x2832)+~E(x2831,x2832) % 4.97/4.86 [284]~P74(x2841)+P74(x2842)+~E(x2841,x2842) % 4.97/4.86 [285]~P28(x2851)+P28(x2852)+~E(x2851,x2852) % 4.97/4.86 [286]~P46(x2861)+P46(x2862)+~E(x2861,x2862) % 4.97/4.86 [287]~P6(x2871)+P6(x2872)+~E(x2871,x2872) % 4.97/4.86 [288]P12(x2882,x2883)+~E(x2881,x2882)+~P12(x2881,x2883) % 4.97/4.86 [289]P12(x2893,x2892)+~E(x2891,x2892)+~P12(x2893,x2891) % 4.97/4.86 [290]~P52(x2901)+P52(x2902)+~E(x2901,x2902) % 4.97/4.86 [291]~P50(x2911)+P50(x2912)+~E(x2911,x2912) % 4.97/4.86 [292]~P19(x2921)+P19(x2922)+~E(x2921,x2922) % 4.97/4.86 [293]~P40(x2931)+P40(x2932)+~E(x2931,x2932) % 4.97/4.86 [294]~P29(x2941)+P29(x2942)+~E(x2941,x2942) % 4.97/4.86 [295]~P53(x2951)+P53(x2952)+~E(x2951,x2952) % 4.97/4.86 [296]~P37(x2961)+P37(x2962)+~E(x2961,x2962) % 4.97/4.86 [297]~P34(x2971)+P34(x2972)+~E(x2971,x2972) % 4.97/4.86 [298]~P51(x2981)+P51(x2982)+~E(x2981,x2982) % 4.97/4.86 [299]~P7(x2991)+P7(x2992)+~E(x2991,x2992) % 4.97/4.86 [300]~P21(x3001)+P21(x3002)+~E(x3001,x3002) % 4.97/4.86 [301]~P75(x3011)+P75(x3012)+~E(x3011,x3012) % 4.97/4.86 [302]~P72(x3021)+P72(x3022)+~E(x3021,x3022) % 4.97/4.86 [303]~P32(x3031)+P32(x3032)+~E(x3031,x3032) % 4.97/4.86 [304]~P35(x3041)+P35(x3042)+~E(x3041,x3042) % 4.97/4.86 [305]~P16(x3051)+P16(x3052)+~E(x3051,x3052) % 4.97/4.86 [306]P15(x3062,x3063)+~E(x3061,x3062)+~P15(x3061,x3063) % 4.97/4.86 [307]P15(x3073,x3072)+~E(x3071,x3072)+~P15(x3073,x3071) % 4.97/4.86 [308]~P5(x3081)+P5(x3082)+~E(x3081,x3082) % 4.97/4.86 [309]~P33(x3091)+P33(x3092)+~E(x3091,x3092) % 4.97/4.86 [310]~P42(x3101)+P42(x3102)+~E(x3101,x3102) % 4.97/4.86 [311]~P36(x3111)+P36(x3112)+~E(x3111,x3112) % 4.97/4.86 [312]~P22(x3121)+P22(x3122)+~E(x3121,x3122) % 4.97/4.86 % 4.97/4.86 %------------------------------------------- % 4.97/4.88 cnf(2024,plain, % 4.97/4.88 (E(f11(a1,f3(a1)),f3(a1))), % 4.97/4.88 inference(equality_inference,[],[737])). % 4.97/4.88 cnf(2052,plain, % 4.97/4.88 (P10(x20521,x20522,x20522)+~P43(x20521)), % 4.97/4.88 inference(equality_inference,[],[817])). % 4.97/4.88 cnf(2065,plain, % 4.97/4.88 (P10(a1,f22(a98,f3(a98)),f3(a1))), % 4.97/4.88 inference(equality_inference,[],[878])). % 4.97/4.88 cnf(2067,plain, % 4.97/4.88 (~P11(a1,x20671,x20671)), % 4.97/4.88 inference(equality_inference,[],[886])). % 4.97/4.88 cnf(2069,plain, % 4.97/4.88 (~P11(a99,x20691,x20691)), % 4.97/4.88 inference(equality_inference,[],[892])). % 4.97/4.88 cnf(2077,plain, % 4.97/4.88 (~P64(x20771)+~P73(x20771)+~P44(x20771)+~P63(x20771)+E(x20772,f3(a98))+E(f25(f25(f13(x20771),f3(x20771)),x20772),f3(x20771))), % 4.97/4.88 inference(equality_inference,[],[933])). % 4.97/4.88 cnf(2080,plain, % 4.97/4.88 (E(f25(f25(f9(a98),f3(a98)),x20801),f25(f25(f9(a98),f3(a98)),x20802))), % 4.97/4.88 inference(equality_inference,[],[937])). % 4.97/4.88 cnf(2096,plain, % 4.97/4.88 (P11(a98,f3(a98),f25(f25(f13(a98),x20961),f3(a98)))), % 4.97/4.88 inference(equality_inference,[],[1091])). % 4.97/4.88 cnf(2098,plain, % 4.97/4.88 (P11(a99,x20981,f10(a99,x20981,f4(a99)))), % 4.97/4.88 inference(equality_inference,[],[1100])). % 4.97/4.88 cnf(2110,plain, % 4.97/4.88 (~P10(a98,x21101,x21102)+E(x21102,f10(a98,f7(a98,x21102,x21101),x21101))), % 4.97/4.88 inference(equality_inference,[],[1243])). % 4.97/4.88 cnf(2118,plain, % 4.97/4.88 (E(f6(a98,f25(f25(f9(a98),f3(a98)),x21181),f25(f25(f9(a98),f3(a98)),x21182)),f3(a98))), % 4.97/4.88 inference(equality_inference,[],[1305])). % 4.97/4.88 cnf(2119,plain, % 4.97/4.88 (P11(a99,f3(a99),f25(f25(f13(a99),f5(a99,x21191)),f3(a98)))), % 4.97/4.88 inference(equality_inference,[],[1315])). % 4.97/4.88 cnf(2138,plain, % 4.97/4.88 (~P11(a99,x21381,x21382)+E(f6(a99,f10(a99,f25(f25(f9(a99),x21382),x21383),x21381),x21382),x21383)+E(x21382,f3(a99))+~P10(a99,f3(a99),x21381)+~P11(a99,f3(a99),x21382)), % 4.97/4.88 inference(equality_inference,[],[1817])). % 4.97/4.88 cnf(2149,plain, % 4.97/4.88 (~P10(a98,x21491,x21491)+E(x21492,f10(a98,f25(f25(f9(a98),f7(a98,x21491,x21491)),x21493),x21492))), % 4.97/4.88 inference(equality_inference,[],[1956])). % 4.97/4.88 cnf(2150,plain, % 4.97/4.88 (~P10(a98,x21501,x21501)+E(f10(a98,f25(f25(f9(a98),f7(a98,x21501,x21501)),x21502),x21503),x21503)), % 4.97/4.88 inference(equality_inference,[],[1957])). % 4.97/4.88 cnf(2153,plain, % 4.97/4.88 (~P10(a98,x21531,x21532)+E(f10(a98,f25(f25(f9(a98),x21532),x21533),x21534),f10(a98,f25(f25(f9(a98),x21531),x21533),f10(a98,f25(f25(f9(a98),f7(a98,x21532,x21531)),x21533),x21534)))), % 4.97/4.88 inference(equality_inference,[],[1966])). % 4.97/4.88 cnf(2158,plain, % 4.97/4.88 (~P11(a1,f8(a1,f10(a1,f4(a1),f23(a2,a102))),f5(a1,f25(f25(f9(a1),a104),a105)))), % 4.97/4.88 inference(scs_inference,[],[672,1386])). % 4.97/4.88 cnf(2161,plain, % 4.97/4.88 (~P11(a1,x21611,x21611)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2163,plain, % 4.97/4.88 (~E(x21631,f10(a1,f22(a98,f20(x21631)),f4(a1)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2067,1386,845,886])). % 4.97/4.88 cnf(2167,plain, % 4.97/4.88 (~E(x21671,f10(a99,x21671,f4(a99)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2067,2098,2096,1386,845,886,891,892])). % 4.97/4.88 cnf(2169,plain, % 4.97/4.88 (~E(f10(a98,x21691,f10(a98,f3(a98),f4(a98))),x21691)), % 4.97/4.88 inference(scs_inference,[],[672,603,2067,2098,659,2096,1386,845,886,891,892,900])). % 4.97/4.88 cnf(2170,plain, % 4.97/4.88 (~E(f10(a98,x21701,f4(a98)),x21701)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2173,plain, % 4.97/4.88 (P11(a1,x21731,f10(a1,f22(a98,f20(x21731)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2175,plain, % 4.97/4.88 (~E(f10(a98,x21751,f10(a98,x21752,f4(a98))),x21752)), % 4.97/4.88 inference(scs_inference,[],[672,603,2067,2098,659,2096,667,1386,845,886,891,892,900,1057,1099])). % 4.97/4.88 cnf(2176,plain, % 4.97/4.88 (~P11(a98,f10(a98,x21761,x21762),x21762)), % 4.97/4.88 inference(rename_variables,[],[667])). % 4.97/4.88 cnf(2178,plain, % 4.97/4.88 (~E(f10(a99,x21781,f4(a99)),x21781)), % 4.97/4.88 inference(scs_inference,[],[672,603,2067,2069,2098,659,2096,667,1386,845,886,891,892,900,1057,1099,1100])). % 4.97/4.88 cnf(2179,plain, % 4.97/4.88 (~P11(a99,x21791,x21791)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2182,plain, % 4.97/4.88 (P11(a1,x21821,f10(a1,f22(a98,f20(x21821)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2184,plain, % 4.97/4.88 (P11(a1,x21841,f22(a98,f10(a98,f20(x21841),f4(a98))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2098,659,540,2096,667,1386,845,886,891,892,900,1057,1099,1100,1471,1533])). % 4.97/4.88 cnf(2185,plain, % 4.97/4.88 (P10(a98,x21851,x21851)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2189,plain, % 4.97/4.88 (E(x21891,f10(a98,f7(a98,x21891,x21891),x21891))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2098,659,540,2185,2096,667,461,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110])). % 4.97/4.88 cnf(2196,plain, % 4.97/4.88 (~P11(a99,x21961,x21961)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2201,plain, % 4.97/4.88 (~E(f10(a98,x22011,f4(a98)),f3(a98))), % 4.97/4.88 inference(rename_variables,[],[665])). % 4.97/4.88 cnf(2204,plain, % 4.97/4.88 (~E(f10(a98,x22041,f4(a98)),f3(a98))), % 4.97/4.88 inference(rename_variables,[],[665])). % 4.97/4.88 cnf(2212,plain, % 4.97/4.88 (E(f12(f22(a98,x22121)),x22121)), % 4.97/4.88 inference(rename_variables,[],[532])). % 4.97/4.88 cnf(2214,plain, % 4.97/4.88 (P10(a98,f10(a98,f3(a98),x22141),x22141)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2098,2024,659,540,2185,2118,2096,586,667,446,461,532,587,665,2201,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045])). % 4.97/4.88 cnf(2215,plain, % 4.97/4.88 (E(f7(a98,f10(a98,x22151,x22152),x22152),x22151)), % 4.97/4.88 inference(rename_variables,[],[587])). % 4.97/4.88 cnf(2218,plain, % 4.97/4.88 (~P11(a99,x22181,x22181)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2221,plain, % 4.97/4.88 (E(f10(a98,x22211,x22212),f10(a98,x22212,x22211))), % 4.97/4.88 inference(rename_variables,[],[570])). % 4.97/4.88 cnf(2224,plain, % 4.97/4.88 (P10(a99,x22241,x22241)), % 4.97/4.88 inference(rename_variables,[],[541])). % 4.97/4.88 cnf(2227,plain, % 4.97/4.88 (~P11(a98,f10(a98,x22271,x22272),x22272)), % 4.97/4.88 inference(rename_variables,[],[667])). % 4.97/4.88 cnf(2229,plain, % 4.97/4.88 (P10(a1,x22291,f5(a1,x22291))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2098,2024,659,539,540,2185,541,2118,2096,570,586,667,2176,446,461,532,587,665,2201,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117])). % 4.97/4.88 cnf(2230,plain, % 4.97/4.88 (P10(a1,x22301,x22301)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2232,plain, % 4.97/4.88 (P10(a98,x22321,f20(f22(a98,x22321)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2098,2024,659,539,2230,540,2185,541,2118,2096,570,586,667,2176,446,461,532,587,665,2201,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127])). % 4.97/4.88 cnf(2233,plain, % 4.97/4.88 (P10(a1,x22331,x22331)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2235,plain, % 4.97/4.88 (P10(a98,f12(f22(a98,x22351)),x22351)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2098,2024,659,539,2230,2233,540,2185,541,2118,2096,570,586,667,2176,446,461,532,587,665,2201,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128])). % 4.97/4.88 cnf(2236,plain, % 4.97/4.88 (P10(a1,x22361,x22361)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2238,plain, % 4.97/4.88 (P10(a98,x22381,f12(f22(a98,x22381)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2098,2024,659,539,2230,2233,540,2185,541,2118,2096,570,586,667,2176,446,461,532,566,587,665,2201,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210])). % 4.97/4.88 cnf(2239,plain, % 4.97/4.88 (P10(a1,x22391,f22(a98,f12(x22391)))), % 4.97/4.88 inference(rename_variables,[],[566])). % 4.97/4.88 cnf(2243,plain, % 4.97/4.88 (P11(a98,x22431,f10(a98,x22432,f10(a98,x22431,f4(a98))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2098,2024,659,539,2230,2233,540,2185,541,2118,2096,570,586,667,2176,2227,446,461,532,566,587,665,2201,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232])). % 4.97/4.88 cnf(2244,plain, % 4.97/4.88 (~P11(a98,f10(a98,x22441,x22442),x22442)), % 4.97/4.88 inference(rename_variables,[],[667])). % 4.97/4.88 cnf(2250,plain, % 4.97/4.88 (~P10(a98,f10(a98,x22501,f4(a98)),x22501)), % 4.97/4.88 inference(rename_variables,[],[669])). % 4.97/4.88 cnf(2253,plain, % 4.97/4.88 (~P10(a98,f10(a98,x22531,f4(a98)),x22531)), % 4.97/4.88 inference(rename_variables,[],[669])). % 4.97/4.88 cnf(2256,plain, % 4.97/4.88 (~P11(a98,f10(a98,x22561,x22562),x22562)), % 4.97/4.88 inference(rename_variables,[],[667])). % 4.97/4.88 cnf(2259,plain, % 4.97/4.88 (~P11(a98,f10(a98,x22591,x22592),x22592)), % 4.97/4.88 inference(rename_variables,[],[667])). % 4.97/4.88 cnf(2261,plain, % 4.97/4.88 (~P11(a98,x22611,f7(a98,x22611,x22612))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2098,2024,659,539,2230,2233,540,2185,541,654,2118,2096,570,586,667,2176,2227,2244,2256,446,461,532,536,566,669,2250,587,665,2201,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301])). % 4.97/4.88 cnf(2262,plain, % 4.97/4.88 (~P11(a98,x22621,x22621)), % 4.97/4.88 inference(rename_variables,[],[654])). % 4.97/4.88 cnf(2267,plain, % 4.97/4.88 (~P10(a98,f10(a98,x22671,f10(a98,x22672,f4(a98))),x22672)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2098,2024,659,539,2230,2233,540,2185,541,654,2118,2096,570,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,669,2250,587,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325])). % 4.97/4.88 cnf(2270,plain, % 4.97/4.88 (~P10(a99,f10(a99,x22701,f4(a99)),x22701)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2098,2024,659,539,2230,2233,540,2185,541,654,2118,2096,570,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,669,2250,587,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328])). % 4.97/4.88 cnf(2271,plain, % 4.97/4.88 (~P11(a99,x22711,x22711)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2274,plain, % 4.97/4.88 (~P11(a99,x22741,x22741)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2277,plain, % 4.97/4.88 (~P11(a1,f10(a1,f5(a1,x22771),f4(a1)),x22771)), % 4.97/4.88 inference(rename_variables,[],[671])). % 4.97/4.88 cnf(2280,plain, % 4.97/4.88 (P10(a98,x22801,f10(a98,x22802,x22801))), % 4.97/4.88 inference(rename_variables,[],[583])). % 4.97/4.88 cnf(2283,plain, % 4.97/4.88 (P10(a98,x22831,f10(a98,x22832,x22831))), % 4.97/4.88 inference(rename_variables,[],[583])). % 4.97/4.88 cnf(2285,plain, % 4.97/4.88 (P11(a98,x22851,f10(a98,f10(a98,x22852,f10(a98,x22851,x22853)),f4(a98)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,654,2118,2096,570,583,2280,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,669,2250,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412])). % 4.97/4.88 cnf(2286,plain, % 4.97/4.88 (P11(a98,x22861,f10(a98,f10(a98,x22862,x22861),f4(a98)))), % 4.97/4.88 inference(rename_variables,[],[632])). % 4.97/4.88 cnf(2289,plain, % 4.97/4.88 (E(f10(a98,x22891,x22892),f10(a98,x22892,x22891))), % 4.97/4.88 inference(rename_variables,[],[570])). % 4.97/4.88 cnf(2291,plain, % 4.97/4.88 (P11(a99,f7(a99,x22911,f4(a99)),x22911)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2118,2096,570,2221,583,2280,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,669,2250,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427])). % 4.97/4.88 cnf(2292,plain, % 4.97/4.88 (P10(a99,x22921,x22921)), % 4.97/4.88 inference(rename_variables,[],[541])). % 4.97/4.88 cnf(2295,plain, % 4.97/4.88 (P10(a98,x22951,f10(a98,x22951,x22952))), % 4.97/4.88 inference(rename_variables,[],[584])). % 4.97/4.88 cnf(2304,plain, % 4.97/4.88 (~P10(a98,f7(a98,f10(a98,f10(a98,x23041,x23042),f4(a98)),x23042),x23041)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613])). % 4.97/4.88 cnf(2305,plain, % 4.97/4.88 (~P10(a98,f10(a98,x23051,f4(a98)),x23051)), % 4.97/4.88 inference(rename_variables,[],[669])). % 4.97/4.88 cnf(2308,plain, % 4.97/4.88 (~P11(a98,x23081,x23081)), % 4.97/4.88 inference(rename_variables,[],[654])). % 4.97/4.88 cnf(2310,plain, % 4.97/4.88 (~P11(a98,x23101,f7(a98,f10(a98,x23101,x23102),x23102))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616])). % 4.97/4.88 cnf(2311,plain, % 4.97/4.88 (~P11(a98,x23111,x23111)), % 4.97/4.88 inference(rename_variables,[],[654])). % 4.97/4.88 cnf(2314,plain, % 4.97/4.88 (P10(a1,x23141,f22(a98,f12(x23141)))), % 4.97/4.88 inference(rename_variables,[],[566])). % 4.97/4.88 cnf(2316,plain, % 4.97/4.88 (P10(a98,x23161,f10(a98,f10(a98,x23162,x23161),x23163))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720])). % 4.97/4.88 cnf(2322,plain, % 4.97/4.88 (E(x23221,f10(a98,f25(f25(f9(a98),f7(a98,x23222,x23222)),x23223),x23221))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149])). % 4.97/4.88 cnf(2324,plain, % 4.97/4.88 (E(f10(a98,f25(f25(f9(a98),f7(a98,x23241,x23241)),x23242),x23243),x23243)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,446,461,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150])). % 4.97/4.88 cnf(2328,plain, % 4.97/4.88 (P10(a1,f10(a1,f10(a1,f4(a1),f23(a2,a102)),f5(a1,f25(f25(f9(a1),a104),a105))),f3(a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,446,455,461,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991])). % 4.97/4.88 cnf(2330,plain, % 4.97/4.88 (P11(a1,x23301,f10(a1,f22(a98,f20(f5(a1,x23301))),f4(a1)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,343,446,455,461,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170])). % 4.97/4.88 cnf(2331,plain, % 4.97/4.88 (P11(a1,x23311,f10(a1,f22(a98,f20(x23311)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2341,plain, % 4.97/4.88 (P11(a1,x23411,f22(a98,f20(f10(a1,x23411,f4(a1)))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,343,416,418,446,455,461,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738])). % 4.97/4.88 cnf(2342,plain, % 4.97/4.88 (P11(a1,x23421,f10(a1,f22(a98,f20(x23421)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2344,plain, % 4.97/4.88 (P11(a1,x23441,f10(a1,x23442,f10(a1,f22(a98,f20(f5(a1,f7(a1,x23441,x23442)))),f4(a1))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,343,416,418,446,455,461,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873])). % 4.97/4.88 cnf(2345,plain, % 4.97/4.88 (P11(a1,x23451,f10(a1,f22(a98,f20(x23451)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2347,plain, % 4.97/4.88 (P11(f10(a98,f7(a98,a1,a1),a1),x23471,f10(a1,f22(a98,f20(x23471)),f4(a1)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,343,416,418,446,455,461,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226])). % 4.97/4.88 cnf(2348,plain, % 4.97/4.88 (~E(f3(a99),f25(f25(f13(a99),f5(a99,x23481)),f3(a98)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,343,416,418,446,455,461,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227])). % 4.97/4.88 cnf(2349,plain, % 4.97/4.88 (~P11(a99,x23491,x23491)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2350,plain, % 4.97/4.88 (~E(f10(a1,f22(a98,f20(f3(a1))),f4(a1)),f10(a1,f10(a1,f4(a1),f23(a2,a102)),f5(a1,f25(f25(f9(a1),a104),a105))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,659,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,343,416,418,446,455,461,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228])). % 4.97/4.88 cnf(2351,plain, % 4.97/4.88 (P11(a1,x23511,f10(a1,f22(a98,f20(x23511)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2359,plain, % 4.97/4.88 (~E(f10(a98,x23591,f4(a98)),x23591)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2365,plain, % 4.97/4.88 (~E(f8(a1,f10(a99,f8(a1,x23651),f4(a99))),x23651)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,651,659,2170,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,313,343,382,416,418,446,455,461,475,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776])). % 4.97/4.88 cnf(2369,plain, % 4.97/4.88 (~E(f4(a98),f3(a98))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,651,659,2170,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,313,343,382,416,418,444,446,455,459,461,475,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817])). % 4.97/4.88 cnf(2375,plain, % 4.97/4.88 (~E(f10(a1,x23751,f4(a1)),x23751)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,651,659,2170,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,313,343,382,416,418,439,444,446,455,458,459,461,475,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941])). % 4.97/4.88 cnf(2378,plain, % 4.97/4.88 (P11(a1,f3(a1),f22(a98,f10(a98,x23781,f4(a98))))), % 4.97/4.88 inference(rename_variables,[],[608])). % 4.97/4.88 cnf(2380,plain, % 4.97/4.88 (P10(a1,f5(a1,f11(a1,f3(a1))),f3(a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,651,659,2170,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,313,343,382,416,418,439,444,446,455,458,459,461,475,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947])). % 4.97/4.88 cnf(2385,plain, % 4.97/4.88 (~E(f10(a98,x23851,f4(a98)),x23851)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2388,plain, % 4.97/4.88 (~E(f10(a98,x23881,f4(a98)),x23881)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2392,plain, % 4.97/4.88 (~P11(a99,f4(a99),f3(a99))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,651,659,2170,2359,2385,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,313,343,382,416,418,439,444,445,446,455,458,459,461,475,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059])). % 4.97/4.88 cnf(2394,plain, % 4.97/4.88 (~P11(a98,f10(a98,f10(a98,x23941,x23942),f4(a98)),x23941)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2067,2069,2179,2196,2218,2271,2274,2098,2024,651,659,2170,2359,2385,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,313,343,382,416,418,439,444,445,446,455,458,459,461,475,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061])). % 4.97/4.88 cnf(2398,plain, % 4.97/4.88 (~P11(a1,f10(a1,f22(a98,f20(x23981)),f4(a1)),x23981)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2069,2179,2196,2218,2271,2274,2098,2024,651,659,2170,2359,2385,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,313,343,382,416,418,439,443,444,445,446,455,458,459,461,475,484,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133])). % 4.97/4.88 cnf(2401,plain, % 4.97/4.88 (~P11(a98,x24011,f3(a98))), % 4.97/4.88 inference(rename_variables,[],[657])). % 4.97/4.88 cnf(2404,plain, % 4.97/4.88 (~P11(a1,x24041,x24041)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2406,plain, % 4.97/4.88 (~P11(a99,f3(a99),f8(a99,f3(a99)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2069,2179,2196,2218,2271,2274,2349,2098,2024,651,659,2170,2359,2385,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,584,2295,586,667,2176,2227,2244,2256,2259,657,313,343,382,416,418,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205])). % 4.97/4.88 cnf(2407,plain, % 4.97/4.88 (~P11(a99,x24071,x24071)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2410,plain, % 4.97/4.88 (~P11(a99,x24101,x24101)), % 4.97/4.88 inference(rename_variables,[],[2069])). % 4.97/4.88 cnf(2413,plain, % 4.97/4.88 (~P11(a1,x24131,x24131)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2416,plain, % 4.97/4.88 (~P11(a1,x24161,x24161)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2419,plain, % 4.97/4.88 (~P11(a1,x24191,x24191)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2422,plain, % 4.97/4.88 (~E(f10(a98,x24221,f4(a98)),x24221)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2423,plain, % 4.97/4.88 (P10(a98,x24231,f10(a98,x24232,x24231))), % 4.97/4.88 inference(rename_variables,[],[583])). % 4.97/4.88 cnf(2426,plain, % 4.97/4.88 (~P11(a1,x24261,x24261)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2432,plain, % 4.97/4.88 (~P11(a1,f10(a1,f5(a1,x24321),f4(a1)),x24321)), % 4.97/4.88 inference(rename_variables,[],[671])). % 4.97/4.88 cnf(2434,plain, % 4.97/4.88 (~P11(a98,f7(a98,f10(a98,x24341,x24342),x24342),x24341)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548])). % 4.97/4.88 cnf(2437,plain, % 4.97/4.88 (P10(a98,x24371,x24371)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2440,plain, % 4.97/4.88 (~P11(a1,x24401,x24401)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2442,plain, % 4.97/4.88 (~P11(a1,x24421,f10(a1,f25(f25(f9(a1),f7(a1,x24422,x24422)),x24423),x24421))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009])). % 4.97/4.88 cnf(2443,plain, % 4.97/4.88 (~P11(a1,x24431,x24431)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2446,plain, % 4.97/4.88 (P1(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225])). % 4.97/4.88 cnf(2447,plain, % 4.97/4.88 (P2(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229])). % 4.97/4.88 cnf(2448,plain, % 4.97/4.88 (P10(f10(a98,f7(a98,a1,a1),a1),x24481,x24481)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230])). % 4.97/4.88 cnf(2449,plain, % 4.97/4.88 (P10(a1,f3(a1),f11(a1,f3(a1)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231])). % 4.97/4.88 cnf(2450,plain, % 4.97/4.88 (P10(a1,x24501,x24501)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2451,plain, % 4.97/4.88 (P10(a1,f11(a1,f3(a1)),f3(a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232])). % 4.97/4.88 cnf(2452,plain, % 4.97/4.88 (P10(a1,x24521,x24521)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2453,plain, % 4.97/4.88 (P47(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233])). % 4.97/4.88 cnf(2454,plain, % 4.97/4.88 (P43(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234])). % 4.97/4.88 cnf(2455,plain, % 4.97/4.88 (P48(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,329,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237])). % 4.97/4.88 cnf(2456,plain, % 4.97/4.88 (P67(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,329,331,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238])). % 4.97/4.88 cnf(2457,plain, % 4.97/4.88 (P57(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,329,331,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239])). % 4.97/4.88 cnf(2458,plain, % 4.97/4.88 (P45(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,329,331,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241])). % 4.97/4.88 cnf(2459,plain, % 4.97/4.88 (P49(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,329,331,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242])). % 4.97/4.88 cnf(2460,plain, % 4.97/4.88 (P58(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,343,344,382,416,417,418,425,439,443,444,445,446,455,458,459,461,475,484,485,532,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243])). % 4.97/4.88 cnf(2462,plain, % 4.97/4.88 (E(f12(f22(a98,x24621)),x24621)), % 4.97/4.88 inference(rename_variables,[],[532])). % 4.97/4.88 cnf(2463,plain, % 4.97/4.88 (P54(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,343,344,382,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245])). % 4.97/4.88 cnf(2464,plain, % 4.97/4.88 (P65(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,343,344,382,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246])). % 4.97/4.88 cnf(2465,plain, % 4.97/4.88 (P4(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,343,344,382,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247])). % 4.97/4.88 cnf(2466,plain, % 4.97/4.88 (P25(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,343,344,382,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251])). % 4.97/4.88 cnf(2468,plain, % 4.97/4.88 (E(f12(f22(a98,x24681)),x24681)), % 4.97/4.88 inference(rename_variables,[],[532])). % 4.97/4.88 cnf(2469,plain, % 4.97/4.88 (P66(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,343,344,382,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,2462,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253])). % 4.97/4.88 cnf(2470,plain, % 4.97/4.88 (P18(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,343,344,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,2462,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254])). % 4.97/4.88 cnf(2471,plain, % 4.97/4.88 (P31(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,343,344,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,2462,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255])). % 4.97/4.88 cnf(2472,plain, % 4.97/4.88 (P59(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,343,344,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,475,484,485,532,2212,2462,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256])). % 4.97/4.88 cnf(2474,plain, % 4.97/4.88 (E(f12(f22(a98,x24741)),x24741)), % 4.97/4.88 inference(rename_variables,[],[532])). % 4.97/4.88 cnf(2475,plain, % 4.97/4.88 (P56(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,343,344,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,475,484,485,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258])). % 4.97/4.88 cnf(2476,plain, % 4.97/4.88 (P60(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,475,484,485,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259])). % 4.97/4.88 cnf(2477,plain, % 4.97/4.88 (P69(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,355,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,475,484,485,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260])). % 4.97/4.88 cnf(2478,plain, % 4.97/4.88 (P70(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,355,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,475,484,485,486,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261])). % 4.97/4.88 cnf(2479,plain, % 4.97/4.88 (P8(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,355,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,471,475,484,485,486,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262])). % 4.97/4.88 cnf(2480,plain, % 4.97/4.88 (P63(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,351,355,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,471,475,484,485,486,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263])). % 4.97/4.88 cnf(2481,plain, % 4.97/4.88 (P68(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,351,355,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,471,475,484,485,486,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264])). % 4.97/4.88 cnf(2482,plain, % 4.97/4.88 (P62(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,349,351,355,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,471,475,484,485,486,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265])). % 4.97/4.88 cnf(2483,plain, % 4.97/4.88 (P61(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,471,475,484,485,486,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266])). % 4.97/4.88 cnf(2484,plain, % 4.97/4.88 (P3(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,471,475,484,485,486,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267])). % 4.97/4.88 cnf(2485,plain, % 4.97/4.88 (P41(f10(a98,f25(f25(f9(a98),f7(a98,a1,a1)),x24851),a100))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,416,417,418,425,435,439,443,444,445,446,455,458,459,461,465,471,475,484,485,486,497,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268])). % 4.97/4.88 cnf(2486,plain, % 4.97/4.88 (P38(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,416,417,418,425,435,439,443,444,445,446,451,455,458,459,461,465,471,475,484,485,486,497,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269])). % 4.97/4.88 cnf(2487,plain, % 4.97/4.88 (P24(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,412,416,417,418,425,435,439,443,444,445,446,451,455,458,459,461,465,471,475,484,485,486,497,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270])). % 4.97/4.88 cnf(2488,plain, % 4.97/4.88 (P23(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,408,412,416,417,418,425,435,439,443,444,445,446,451,455,458,459,461,465,471,475,484,485,486,497,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271])). % 4.97/4.88 cnf(2489,plain, % 4.97/4.88 (P44(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,408,412,416,417,418,425,435,439,443,444,445,446,451,455,458,459,461,465,471,475,484,485,486,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273])). % 4.97/4.88 cnf(2490,plain, % 4.97/4.88 (P76(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,408,412,416,417,418,425,435,439,443,444,445,446,451,455,458,459,461,465,471,475,484,485,486,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274])). % 4.97/4.88 cnf(2491,plain, % 4.97/4.88 (P71(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,379,382,396,408,412,416,417,418,425,435,439,443,444,445,446,451,455,458,459,461,465,471,475,484,485,486,489,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277])). % 4.97/4.88 cnf(2492,plain, % 4.97/4.88 (P64(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,379,382,396,408,412,416,417,418,425,435,439,443,444,445,446,451,455,458,459,461,465,471,475,484,485,486,489,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278])). % 4.97/4.88 cnf(2493,plain, % 4.97/4.88 (P55(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,379,382,396,408,412,416,417,418,425,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279])). % 4.97/4.88 cnf(2494,plain, % 4.97/4.88 (P26(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,379,382,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280])). % 4.97/4.88 cnf(2495,plain, % 4.97/4.88 (P20(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,379,382,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,495,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281])). % 4.97/4.88 cnf(2496,plain, % 4.97/4.88 (P73(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,379,382,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,495,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282])). % 4.97/4.88 cnf(2497,plain, % 4.97/4.88 (P39(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,379,382,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,495,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283])). % 4.97/4.88 cnf(2498,plain, % 4.97/4.88 (P74(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,379,382,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,495,497,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284])). % 4.97/4.88 cnf(2499,plain, % 4.97/4.88 (P28(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,379,382,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285])). % 4.97/4.88 cnf(2500,plain, % 4.97/4.88 (P46(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,377,379,382,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286])). % 4.97/4.88 cnf(2501,plain, % 4.97/4.88 (P6(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,377,379,382,392,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287])). % 4.97/4.88 cnf(2502,plain, % 4.97/4.88 (P52(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,377,379,382,392,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290])). % 4.97/4.88 cnf(2503,plain, % 4.97/4.88 (P50(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,377,379,382,392,396,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291])). % 4.97/4.88 cnf(2504,plain, % 4.97/4.88 (P19(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,377,379,382,392,396,400,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292])). % 4.97/4.88 cnf(2505,plain, % 4.97/4.88 (P40(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,377,379,382,392,396,400,408,412,416,417,418,425,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293])). % 4.97/4.88 cnf(2506,plain, % 4.97/4.88 (P29(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,377,379,382,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294])). % 4.97/4.88 cnf(2507,plain, % 4.97/4.88 (P53(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295])). % 4.97/4.88 cnf(2508,plain, % 4.97/4.88 (P37(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296])). % 4.97/4.88 cnf(2509,plain, % 4.97/4.88 (P34(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,471,475,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297])). % 4.97/4.88 cnf(2510,plain, % 4.97/4.88 (P51(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,471,475,478,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298])). % 4.97/4.88 cnf(2511,plain, % 4.97/4.88 (P7(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,471,475,478,481,484,485,486,489,495,497,498,507,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299])). % 4.97/4.88 cnf(2512,plain, % 4.97/4.88 (P21(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,471,475,478,481,484,485,486,489,495,497,498,507,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300])). % 4.97/4.88 cnf(2513,plain, % 4.97/4.88 (P75(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,471,475,478,481,484,485,486,489,495,497,498,507,511,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301])). % 4.97/4.88 cnf(2514,plain, % 4.97/4.88 (P72(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,471,475,478,481,484,485,486,489,492,495,497,498,507,511,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302])). % 4.97/4.88 cnf(2515,plain, % 4.97/4.88 (P32(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,421,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,471,475,478,481,484,485,486,489,492,495,497,498,507,511,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303])). % 4.97/4.88 cnf(2516,plain, % 4.97/4.88 (P35(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,421,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,478,481,484,485,486,489,492,495,497,498,507,511,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304])). % 4.97/4.88 cnf(2517,plain, % 4.97/4.88 (P16(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,392,396,400,408,412,416,417,418,421,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,478,481,484,485,486,489,492,495,497,498,507,511,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305])). % 4.97/4.88 cnf(2518,plain, % 4.97/4.88 (P5(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,388,392,396,400,408,412,416,417,418,421,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,478,481,484,485,486,489,492,495,497,498,507,511,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308])). % 4.97/4.88 cnf(2519,plain, % 4.97/4.88 (P33(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,388,392,396,400,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,478,481,484,485,486,489,492,495,497,498,507,511,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309])). % 4.97/4.88 cnf(2520,plain, % 4.97/4.88 (P36(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,388,392,396,400,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,478,481,484,485,486,489,492,495,497,498,503,507,511,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311])). % 4.97/4.88 cnf(2521,plain, % 4.97/4.88 (P22(f10(a98,f7(a98,a1,a1),a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,478,481,484,485,486,489,492,495,497,498,503,507,511,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312])). % 4.97/4.88 cnf(2523,plain, % 4.97/4.88 (~E(f10(a98,x25231,f4(a98)),x25231)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2526,plain, % 4.97/4.88 (~E(f10(a98,x25261,f4(a98)),x25261)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2536,plain, % 4.97/4.88 (~P10(a98,f10(a98,f4(a98),f10(a98,f3(a98),f4(a98))),f4(a98))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2080,539,2230,2233,2236,2450,540,2185,541,2224,654,2262,2308,2118,2096,2119,570,2221,583,2280,2283,584,2295,586,667,2176,2227,2244,2256,2259,657,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,671,2277,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043])). % 4.97/4.88 cnf(2541,plain, % 4.97/4.88 (P10(a1,f3(a1),f22(a98,x25411))), % 4.97/4.88 inference(rename_variables,[],[565])). % 4.97/4.88 cnf(2544,plain, % 4.97/4.88 (P10(a98,f7(a98,x25441,x25442),x25441)), % 4.97/4.88 inference(rename_variables,[],[585])). % 4.97/4.88 cnf(2545,plain, % 4.97/4.88 (P10(a98,f3(a98),x25451)), % 4.97/4.88 inference(rename_variables,[],[549])). % 4.97/4.88 cnf(2548,plain, % 4.97/4.88 (E(f7(a98,f10(a98,x25481,x25482),x25482),x25481)), % 4.97/4.88 inference(rename_variables,[],[587])). % 4.97/4.88 cnf(2552,plain, % 4.97/4.88 (~E(f10(a98,x25521,f4(a98)),x25521)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2554,plain, % 4.97/4.88 (P10(a99,x25541,f5(a99,x25541))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,540,2185,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169])). % 4.97/4.88 cnf(2555,plain, % 4.97/4.88 (P10(a99,x25551,x25551)), % 4.97/4.88 inference(rename_variables,[],[541])). % 4.97/4.88 cnf(2559,plain, % 4.97/4.88 (~P10(a99,f4(a99),f8(a99,f4(a99)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,540,2185,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183])). % 4.97/4.88 cnf(2561,plain, % 4.97/4.88 (~P10(a99,f3(a99),f8(a99,f4(a99)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,540,2185,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204])). % 4.97/4.88 cnf(2567,plain, % 4.97/4.88 (~P10(a99,x25671,f8(a99,f10(a99,f8(a99,x25671),f4(a99))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,540,2185,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219])). % 4.97/4.88 cnf(2569,plain, % 4.97/4.88 (~P10(a99,f8(a99,f3(a99)),f8(a99,f4(a99)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,540,2185,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223])). % 4.97/4.88 cnf(2573,plain, % 4.97/4.88 (~E(x25731,f10(a98,f8(a1,f10(a98,f8(a1,f7(a98,x25731,x25731)),f4(a98))),x25731))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,540,2185,2437,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244])). % 4.97/4.88 cnf(2575,plain, % 4.97/4.88 (P10(a1,f22(a98,f20(f3(a1))),f3(a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,2452,540,2185,2437,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351])). % 4.97/4.88 cnf(2576,plain, % 4.97/4.88 (P10(a1,x25761,x25761)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2577,plain, % 4.97/4.88 (P10(a98,x25771,x25771)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2579,plain, % 4.97/4.88 (P11(a98,f20(f3(a1)),f10(a98,x25791,f4(a98)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,2452,2576,540,2185,2437,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,589,665,2201,2204,608,2378,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366])). % 4.97/4.88 cnf(2580,plain, % 4.97/4.88 (P10(a1,x25801,x25801)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2582,plain, % 4.97/4.88 (P10(a1,f5(a1,f8(a1,f23(a2,x25821))),f23(a2,x25821))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,541,2224,2292,654,2262,2308,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,536,566,2239,669,2250,2253,632,587,2215,671,2277,580,589,665,2201,2204,608,2378,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389])). % 4.97/4.88 cnf(2583,plain, % 4.97/4.88 (P10(a1,x25831,x25831)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2589,plain, % 4.97/4.88 (P11(a98,x25891,f10(a98,f10(a98,x25892,x25891),f4(a98)))), % 4.97/4.88 inference(rename_variables,[],[632])). % 4.97/4.88 cnf(2592,plain, % 4.97/4.88 (~P11(a98,x25921,x25921)), % 4.97/4.88 inference(rename_variables,[],[654])). % 4.97/4.88 cnf(2601,plain, % 4.97/4.88 (P11(a98,x26011,f10(a98,x26011,f4(a98)))), % 4.97/4.88 inference(rename_variables,[],[590])). % 4.97/4.88 cnf(2606,plain, % 4.97/4.88 (P11(a98,f81(f10(a98,f3(a98),f4(a98)),f10(a98,f3(a98),f4(a98))),f10(a98,f3(a98),f4(a98)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,541,2224,2292,654,2262,2308,2311,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,669,2250,2253,632,2286,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510])). % 4.97/4.88 cnf(2607,plain, % 4.97/4.88 (P11(a98,x26071,f10(a98,x26071,f4(a98)))), % 4.97/4.88 inference(rename_variables,[],[590])). % 4.97/4.88 cnf(2608,plain, % 4.97/4.88 (~E(f10(a98,x26081,f4(a98)),x26081)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2610,plain, % 4.97/4.88 (E(x26101,f10(a98,f3(a98),x26101))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,541,2224,2292,654,2262,2308,2311,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,669,2250,2253,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515])). % 4.97/4.88 cnf(2614,plain, % 4.97/4.88 (P11(a98,x26141,f10(a98,x26141,f4(a98)))), % 4.97/4.88 inference(rename_variables,[],[590])). % 4.97/4.88 cnf(2615,plain, % 4.97/4.88 (~P11(a98,x26151,x26151)), % 4.97/4.88 inference(rename_variables,[],[654])). % 4.97/4.88 cnf(2623,plain, % 4.97/4.88 (P10(a98,x26231,x26231)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2625,plain, % 4.97/4.88 (P11(a1,f7(a1,x26251,f10(a1,f22(a98,f20(f5(a1,f7(a1,x26252,x26251)))),f4(a1))),x26252)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,541,2224,2292,654,2262,2308,2311,2592,2118,2065,2096,2119,570,2221,583,2280,2283,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874])). % 4.97/4.88 cnf(2626,plain, % 4.97/4.88 (P11(a1,x26261,f10(a1,f22(a98,f20(x26261)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2629,plain, % 4.97/4.88 (~E(f10(a98,x26291,f4(a98)),x26291)), % 4.97/4.88 inference(rename_variables,[],[659])). % 4.97/4.88 cnf(2634,plain, % 4.97/4.88 (E(f10(a98,f25(f25(f9(a98),x26341),x26342),f10(a98,f25(f25(f9(a98),x26343),x26342),x26344)),f10(a98,f25(f25(f9(a98),f10(a98,x26341,x26343)),x26342),x26344))), % 4.97/4.88 inference(rename_variables,[],[649])). % 4.97/4.88 cnf(2635,plain, % 4.97/4.88 (P10(a98,x26351,f10(a98,x26352,x26351))), % 4.97/4.88 inference(rename_variables,[],[583])). % 4.97/4.88 cnf(2637,plain, % 4.97/4.88 (E(f10(a98,f25(f25(f9(a98),f7(a98,f3(a98),f10(a98,f3(a98),f3(a98)))),x26371),f10(a98,f25(f25(f9(a98),f3(a98)),x26371),x26372)),x26372)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,541,2224,2292,654,2262,2308,2311,2592,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957])). % 4.97/4.88 cnf(2640,plain, % 4.97/4.88 (~E(x26401,f10(a1,f25(f25(f9(a1),f7(a1,x26402,x26403)),x26404),f10(a98,f10(a1,f25(f25(f9(a1),f7(a1,x26403,x26402)),x26404),x26401),f4(a98))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,541,2224,2292,654,2262,2308,2311,2592,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964])). % 4.97/4.88 cnf(2643,plain, % 4.97/4.88 (P10(a98,x26431,x26431)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2645,plain, % 4.97/4.88 (P10(a98,x26451,f10(a98,f25(f25(f9(a98),f7(a98,x26452,x26452)),x26453),f10(a98,x26454,f10(a98,f25(f25(f9(a98),x26452),x26453),x26451))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,2623,2643,541,2224,2292,654,2262,2308,2311,2592,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996])). % 4.97/4.88 cnf(2647,plain, % 4.97/4.88 (P11(a98,x26471,f10(a98,f25(f25(f9(a98),f7(a98,x26472,x26472)),x26473),f10(a98,f10(a98,f25(f25(f9(a98),x26472),x26473),x26471),f4(a98))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,2623,2643,541,2224,2292,654,2262,2308,2311,2592,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997])). % 4.97/4.88 cnf(2649,plain, % 4.97/4.88 (P10(a98,f10(a98,f25(f25(f9(a98),f7(a98,f3(a98),f3(a98))),x26491),x26492),x26492)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,2623,2643,541,2224,2292,654,2262,2308,2311,2592,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,2545,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998])). % 4.97/4.88 cnf(2650,plain, % 4.97/4.88 (P10(a98,x26501,x26501)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2651,plain, % 4.97/4.88 (P10(a98,f3(a98),x26511)), % 4.97/4.88 inference(rename_variables,[],[549])). % 4.97/4.88 cnf(2654,plain, % 4.97/4.88 (~P11(a1,x26541,x26541)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2656,plain, % 4.97/4.88 (~P10(a98,f10(a98,f10(a98,f25(f25(f9(a98),x26561),x26562),x26563),f4(a98)),f10(a98,f25(f25(f9(a98),f7(a98,x26561,x26561)),x26562),x26563))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2443,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,2545,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004])). % 4.97/4.88 cnf(2658,plain, % 4.97/4.88 (~P11(a98,x26581,f10(a98,f25(f25(f9(a98),f7(a98,x26582,x26582)),x26583),x26581))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2443,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,2545,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005])). % 4.97/4.88 cnf(2661,plain, % 4.97/4.88 (~P10(a98,f10(a98,f25(f25(f9(a98),f7(a98,x26611,x26611)),x26612),f10(a98,f10(a98,f25(f25(f9(a98),x26611),x26612),x26613),f4(a98))),x26613)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2443,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,2545,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006])). % 4.97/4.88 cnf(2663,plain, % 4.97/4.88 (~P11(a98,f10(a98,f25(f25(f9(a98),f7(a98,x26631,x26631)),x26632),f10(a98,f10(a98,f25(f25(f9(a98),x26631),x26632),x26633),x26634)),x26633)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2443,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,2545,657,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007])). % 4.97/4.88 cnf(2666,plain, % 4.97/4.88 (~P11(a1,x26661,x26661)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2669,plain, % 4.97/4.88 (P10(a1,x26691,x26691)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2671,plain, % 4.97/4.88 (~P10(a98,f25(f25(f13(a98),x26711),f3(a98)),f3(a98))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,549,2545,657,2401,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068])). % 4.97/4.88 cnf(2672,plain, % 4.97/4.88 (~P11(a98,x26721,f3(a98))), % 4.97/4.88 inference(rename_variables,[],[657])). % 4.97/4.88 cnf(2678,plain, % 4.97/4.88 (~P11(a98,x26781,f3(a98))), % 4.97/4.88 inference(rename_variables,[],[657])). % 4.97/4.88 cnf(2680,plain, % 4.97/4.88 (P11(a1,f22(a98,f3(a98)),f10(a1,f22(a98,f20(f3(a1))),f4(a1)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272])). % 4.97/4.88 cnf(2681,plain, % 4.97/4.88 (P11(a1,x26811,f10(a1,f22(a98,f20(x26811)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2683,plain, % 4.97/4.88 (P11(a1,f7(a1,x26831,f10(a1,f22(a98,f20(f5(a1,f7(a1,f22(a98,f3(a98)),x26831)))),f4(a1))),f3(a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,584,2295,585,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273])). % 4.97/4.88 cnf(2687,plain, % 4.97/4.88 (P11(a98,f3(a98),f10(a98,x26871,f25(f25(f13(a98),x26872),f3(a98))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,584,2295,585,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275])). % 4.97/4.88 cnf(2688,plain, % 4.97/4.88 (P10(a98,x26881,f10(a98,x26882,x26881))), % 4.97/4.88 inference(rename_variables,[],[583])). % 4.97/4.88 cnf(2690,plain, % 4.97/4.88 (P11(a98,f7(a98,f3(a98),x26901),f25(f25(f13(a98),x26902),f3(a98)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276])). % 4.97/4.88 cnf(2694,plain, % 4.97/4.88 (P11(a1,x26941,f10(a1,f22(a98,f20(x26941)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2696,plain, % 4.97/4.88 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x26961),x26961)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,545,589,665,2201,2204,608,2378,670,578,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530])). % 4.97/4.88 cnf(2697,plain, % 4.97/4.88 (~P11(a1,x26971,x26971)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2698,plain, % 4.97/4.88 (P11(a1,x26981,f10(a1,f22(a98,f20(x26981)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2700,plain, % 4.97/4.88 (~P11(a1,f3(a1),f10(a1,f4(a1),f23(a2,a102)))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,545,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531])). % 4.97/4.88 cnf(2702,plain, % 4.97/4.88 (~P11(a1,f10(a1,f3(a1),x27021),x27021)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,553,580,545,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532])). % 4.97/4.88 cnf(2703,plain, % 4.97/4.88 (~P11(a1,x27031,x27031)), % 4.97/4.88 inference(rename_variables,[],[2067])). % 4.97/4.88 cnf(2704,plain, % 4.97/4.88 (P10(a1,x27041,x27041)), % 4.97/4.88 inference(rename_variables,[],[539])). % 4.97/4.88 cnf(2709,plain, % 4.97/4.88 (~P10(a1,f5(a1,f10(a1,x27091,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x27091)), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,2432,553,580,545,646,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684])). % 4.97/4.88 cnf(2710,plain, % 4.97/4.88 (~P11(a1,f10(a1,f5(a1,x27101),f4(a1)),x27101)), % 4.97/4.88 inference(rename_variables,[],[671])). % 4.97/4.88 cnf(2711,plain, % 4.97/4.88 (P11(a1,x27111,f10(a1,f22(a98,f20(x27111)),f4(a1)))), % 4.97/4.88 inference(rename_variables,[],[603])). % 4.97/4.88 cnf(2722,plain, % 4.97/4.88 (P10(a98,x27221,f10(a98,x27222,x27221))), % 4.97/4.88 inference(rename_variables,[],[583])). % 4.97/4.88 cnf(2724,plain, % 4.97/4.88 (P10(a1,f5(a1,f3(a1)),f22(a98,f12(f8(a1,f3(a1)))))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,540,2185,2437,2577,2623,2643,2650,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,2688,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,657,2401,2672,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414])). % 4.97/4.88 cnf(2730,plain, % 4.97/4.88 (P10(a98,x27301,f10(a98,x27302,x27301))), % 4.97/4.88 inference(rename_variables,[],[583])). % 4.97/4.88 cnf(2733,plain, % 4.97/4.88 (P10(a98,f3(a98),x27331)), % 4.97/4.88 inference(rename_variables,[],[549])). % 4.97/4.88 cnf(2736,plain, % 4.97/4.88 (P10(a98,x27361,x27361)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2739,plain, % 4.97/4.88 (P10(a98,x27391,x27391)), % 4.97/4.88 inference(rename_variables,[],[540])). % 4.97/4.88 cnf(2741,plain, % 4.97/4.88 (~P11(a1,f25(f25(f9(a1),f7(a1,x27411,x27411)),x27412),f3(a1))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,2688,2722,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,657,2401,2672,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574])). % 4.97/4.88 cnf(2744,plain, % 4.97/4.88 (~P10(a98,f10(a98,f25(f25(f9(a98),f3(a98)),x27441),f4(a98)),f25(f25(f9(a98),f7(a98,f3(a98),f3(a98))),x27441))), % 4.97/4.88 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,2688,2722,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,657,2401,2672,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682])). % 4.97/4.88 cnf(2748,plain, % 4.97/4.88 (P10(a99,x27481,x27481)), % 4.97/4.88 inference(rename_variables,[],[541])). % 4.97/4.88 cnf(2752,plain, % 4.97/4.88 (P10(a99,x27521,x27521)), % 4.97/4.88 inference(rename_variables,[],[541])). % 4.97/4.88 cnf(2753,plain, % 4.97/4.88 (~P11(a98,x27531,f3(a98))), % 4.97/4.88 inference(rename_variables,[],[657])). % 4.97/4.88 cnf(2755,plain, % 4.97/4.88 (E(f25(x27551,f69(f25(x27551,f3(a98)),x27551,f3(a98))),f25(x27551,f3(a98)))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,2688,2722,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,657,2401,2672,2678,2753,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811])). % 4.97/4.89 cnf(2757,plain, % 4.97/4.89 (P10(a99,x27571,x27571)), % 4.97/4.89 inference(rename_variables,[],[541])). % 4.97/4.89 cnf(2758,plain, % 4.97/4.89 (~P11(a98,x27581,f3(a98))), % 4.97/4.89 inference(rename_variables,[],[657])). % 4.97/4.89 cnf(2760,plain, % 4.97/4.89 (P10(a98,f67(f25(x27601,f3(a98)),x27601,f3(a98)),f3(a98))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,2688,2722,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,657,2401,2672,2678,2753,2758,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844])). % 4.97/4.89 cnf(2762,plain, % 4.97/4.89 (P10(a99,x27621,x27621)), % 4.97/4.89 inference(rename_variables,[],[541])). % 4.97/4.89 cnf(2763,plain, % 4.97/4.89 (~P11(a98,x27631,f3(a98))), % 4.97/4.89 inference(rename_variables,[],[657])). % 4.97/4.89 cnf(2767,plain, % 4.97/4.89 (P10(a99,x27671,x27671)), % 4.97/4.89 inference(rename_variables,[],[541])). % 4.97/4.89 cnf(2770,plain, % 4.97/4.89 (E(f10(a98,f25(f25(f9(a98),f3(a98)),x27701),f3(a98)),f3(a98))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,2688,2722,2730,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402])). % 4.97/4.89 cnf(2771,plain, % 4.97/4.89 (P10(a98,f3(a98),x27711)), % 4.97/4.89 inference(rename_variables,[],[549])). % 4.97/4.89 cnf(2772,plain, % 4.97/4.89 (P10(a98,x27721,f10(a98,x27722,x27721))), % 4.97/4.89 inference(rename_variables,[],[583])). % 4.97/4.89 cnf(2774,plain, % 4.97/4.89 (E(f25(f25(f9(a98),f7(a98,f3(a98),f10(a98,f3(a98),f3(a98)))),x27741),f3(a98))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403])). % 4.97/4.89 cnf(2780,plain, % 4.97/4.89 (~E(f10(a98,x27801,f4(a98)),x27801)), % 4.97/4.89 inference(rename_variables,[],[659])). % 4.97/4.89 cnf(2784,plain, % 4.97/4.89 (E(f25(f25(f13(a1),f3(a1)),f10(a98,f3(a98),f4(a98))),f3(a1))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077])). % 4.97/4.89 cnf(2787,plain, % 4.97/4.89 (~E(f5(a1,f10(a1,x27871,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x27871)), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789])). % 4.97/4.89 cnf(2793,plain, % 4.97/4.89 (E(f11(a1,f3(a1)),f8(a1,f11(a1,f3(a1))))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942])). % 4.97/4.89 cnf(2801,plain, % 4.97/4.89 (~E(f10(a1,f5(a1,x28011),f10(a1,f22(a98,f20(f4(a1))),f4(a1))),x28011)), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45])). % 4.97/4.89 cnf(2826,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x28261)), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233])). % 4.97/4.89 cnf(2828,plain, % 4.97/4.89 (~P11(a98,x28281,f7(a98,f4(a98),f4(a98)))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332])). % 4.97/4.89 cnf(2830,plain, % 4.97/4.89 (~P11(a99,x28301,f8(a99,f10(a99,f8(a99,f10(a99,x28301,f4(a99))),f4(a99))))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334])). % 4.97/4.89 cnf(2836,plain, % 4.97/4.89 (P10(a1,f5(a1,f25(f25(f9(a1),a104),a105)),f8(a1,f10(a1,f4(a1),f23(a2,a102))))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468])). % 4.97/4.89 cnf(2844,plain, % 4.97/4.89 (P11(a1,x28441,f10(a1,f22(a98,f20(f5(a1,f7(a1,f22(a98,f3(a98)),x28441)))),f4(a1)))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468,1522,1931,1040,1462])). % 4.97/4.89 cnf(2850,plain, % 4.97/4.89 (~E(f10(a1,f22(a98,f20(f3(a1))),f4(a1)),f3(a1))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468,1522,1931,1040,1462,1736,752,757])). % 4.97/4.89 cnf(2858,plain, % 4.97/4.89 (~P11(a99,f10(a99,f8(a99,f10(a99,f8(a99,x28581),f4(a99))),f4(a99)),x28581)), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468,1522,1931,1040,1462,1736,752,757,848,1129,1137,1196])). % 4.97/4.89 cnf(2862,plain, % 4.97/4.89 (~E(f10(a1,f25(f25(f9(a1),f7(a1,x28621,x28622)),x28623),f10(a98,f10(a1,f25(f25(f9(a1),f7(a1,x28622,x28621)),x28623),x28624),f4(a98))),x28624)), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468,1522,1931,1040,1462,1736,752,757,848,1129,1137,1196,1356,1965])). % 4.97/4.89 cnf(2866,plain, % 4.97/4.89 (~P10(a99,f8(a99,f8(a99,f4(a99))),f8(a99,f4(a99)))), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468,1522,1931,1040,1462,1736,752,757,848,1129,1137,1196,1356,1965,1079,1185])). % 4.97/4.89 cnf(2870,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x28701,f4(a98)),x28702),x28702),x28701)), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,419,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468,1522,1931,1040,1462,1736,752,757,848,1129,1137,1196,1356,1965,1079,1185,1357,1543])). % 4.97/4.89 cnf(2875,plain, % 4.97/4.89 (~P11(a99,f8(a99,f10(a99,f8(a99,f10(a99,x28751,f4(a99))),f4(a99))),x28751)), % 4.97/4.89 inference(scs_inference,[],[672,603,2173,2182,2331,2342,2345,2351,2626,2681,2694,2698,2711,2067,2161,2404,2413,2416,2419,2426,2440,2443,2654,2666,2697,2703,2069,2179,2196,2218,2271,2274,2349,2407,2410,2098,2024,651,659,2170,2359,2385,2388,2422,2523,2526,2552,2608,2629,2780,2080,539,2230,2233,2236,2450,2452,2576,2580,2583,2669,2704,540,2185,2437,2577,2623,2643,2650,2736,2739,541,2224,2292,2555,2748,2752,2757,2762,2767,654,2262,2308,2311,2592,2615,2118,2065,2096,2119,570,2221,2289,583,2280,2283,2423,2635,2688,2722,2730,2772,584,2295,585,2544,586,667,2176,2227,2244,2256,2259,668,549,2545,2651,2733,2771,657,2401,2672,2678,2753,2758,2763,565,2541,313,315,317,320,322,324,326,329,331,334,337,340,343,344,345,347,349,351,355,358,362,366,370,374,377,379,380,382,383,384,388,392,396,400,404,408,412,416,417,418,419,421,422,424,425,427,431,435,439,441,443,444,445,446,447,451,455,456,458,459,461,462,465,468,469,471,475,477,478,481,484,485,486,488,489,492,495,497,498,503,507,511,515,517,519,532,2212,2462,2468,2474,536,566,2239,2314,590,2601,2607,2614,669,2250,2253,2305,632,2286,2589,587,2215,2548,671,2277,2432,2710,553,580,545,646,599,589,665,2201,2204,608,2378,670,578,605,649,2634,1386,845,886,891,892,900,1057,1099,1100,1471,1533,2052,2110,2,20,797,846,909,913,914,916,917,1034,1045,1054,1056,1094,1104,1117,1127,1128,1210,1211,1232,1246,1294,1296,1298,1300,1301,1309,1325,1328,1329,1388,1410,1411,1412,1424,1427,1431,1511,1512,1525,1613,1614,1616,1636,1720,1721,1730,2149,2150,2153,991,1170,1186,1207,1209,1486,1738,1873,226,227,228,759,767,768,769,770,771,776,815,817,930,931,941,944,947,951,981,982,983,1059,1061,1089,1133,1179,1184,1205,1206,1221,1227,1228,1243,1483,1484,1547,1548,1967,2001,2009,3,225,229,230,231,232,233,234,237,238,239,241,242,243,244,245,246,247,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,273,274,277,278,279,280,281,282,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,308,309,311,312,774,847,907,908,940,966,1043,1062,1109,1110,1123,1156,1169,1175,1183,1204,1208,1214,1219,1223,1225,1244,1351,1366,1389,1419,1437,1481,1482,1485,1494,1495,1499,1510,1515,1568,1661,1741,1742,1874,1954,1955,1956,1957,1964,1966,1996,1997,1998,2003,2004,2005,2006,2007,2011,2014,1068,1070,1076,1272,1273,1274,1275,1276,1277,1530,1531,1532,1683,1684,1685,1922,1150,1414,1497,1528,1529,1573,1574,1682,1780,1810,1811,1844,1845,1402,1403,1768,1375,2077,789,792,875,942,1023,9,15,19,33,45,867,922,923,956,957,958,979,1028,1029,1053,1103,1146,1233,1332,1334,1368,1425,1468,1522,1931,1040,1462,1736,752,757,848,1129,1137,1196,1356,1965,1079,1185,1357,1543,1659,1662])). % 4.97/4.89 cnf(2895,plain, % 4.97/4.89 (~P10(a1,f5(a1,f10(a1,x28951,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x28951)), % 4.97/4.89 inference(rename_variables,[],[2709])). % 4.97/4.89 cnf(2898,plain, % 4.97/4.89 (~P10(a99,f10(a99,x28981,f4(a99)),x28981)), % 4.97/4.89 inference(rename_variables,[],[2270])). % 4.97/4.89 cnf(2901,plain, % 4.97/4.89 (~P11(a98,x29011,f7(a98,f10(a98,x29011,x29012),x29012))), % 4.97/4.89 inference(rename_variables,[],[2310])). % 4.97/4.89 cnf(2904,plain, % 4.97/4.89 (P11(a99,f7(a99,x29041,f4(a99)),x29041)), % 4.97/4.89 inference(rename_variables,[],[2291])). % 4.97/4.89 cnf(2907,plain, % 4.97/4.89 (~P10(a98,f10(a98,f25(f25(f9(a98),f7(a98,x29071,x29071)),x29072),f10(a98,f10(a98,f25(f25(f9(a98),x29071),x29072),x29073),f4(a98))),x29073)), % 4.97/4.89 inference(rename_variables,[],[2661])). % 4.97/4.89 cnf(2915,plain, % 4.97/4.89 (P10(a99,x29151,f5(a99,x29151))), % 4.97/4.89 inference(rename_variables,[],[2554])). % 4.97/4.89 cnf(2923,plain, % 4.97/4.89 (E(f10(a99,f3(a99),x29231),x29231)), % 4.97/4.89 inference(rename_variables,[],[554])). % 4.97/4.89 cnf(2926,plain, % 4.97/4.89 (P10(a1,x29261,f5(a1,x29261))), % 4.97/4.89 inference(rename_variables,[],[2229])). % 4.97/4.89 cnf(2929,plain, % 4.97/4.89 (~P11(a99,f10(a99,f8(a99,f10(a99,f8(a99,x29291),f4(a99))),f4(a99)),x29291)), % 4.97/4.89 inference(rename_variables,[],[2858])). % 4.97/4.89 cnf(2934,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x29341),x29341)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(2937,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x29371,f4(a98)),x29372),x29372),x29371)), % 4.97/4.89 inference(rename_variables,[],[2870])). % 4.97/4.89 cnf(2944,plain, % 4.97/4.89 (~P10(a99,x29441,f8(a99,f10(a99,f8(a99,x29441),f4(a99))))), % 4.97/4.89 inference(rename_variables,[],[2567])). % 4.97/4.89 cnf(2947,plain, % 4.97/4.89 (P11(a1,x29471,f22(a98,f20(f10(a1,x29471,f4(a1)))))), % 4.97/4.89 inference(rename_variables,[],[2341])). % 4.97/4.89 cnf(2954,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x29541),x29541)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(2960,plain, % 4.97/4.89 (P10(a98,x29601,f12(f22(a98,x29601)))), % 4.97/4.89 inference(rename_variables,[],[2238])). % 4.97/4.89 cnf(2967,plain, % 4.97/4.89 (~E(f10(a1,f5(a1,x29671),f10(a1,f22(a98,f20(f4(a1))),f4(a1))),x29671)), % 4.97/4.89 inference(rename_variables,[],[2801])). % 4.97/4.89 cnf(2977,plain, % 4.97/4.89 (~P11(a99,f10(a99,f8(a99,f10(a99,f8(a99,x29771),f4(a99))),f4(a99)),x29771)), % 4.97/4.89 inference(rename_variables,[],[2858])). % 4.97/4.89 cnf(2980,plain, % 4.97/4.89 (E(f25(x29801,f69(f25(x29801,f3(a98)),x29801,f3(a98))),f25(x29801,f3(a98)))), % 4.97/4.89 inference(rename_variables,[],[2755])). % 4.97/4.89 cnf(2987,plain, % 4.97/4.89 (~P11(a98,f7(a98,f10(a98,x29871,x29872),x29872),x29871)), % 4.97/4.89 inference(rename_variables,[],[2434])). % 4.97/4.89 cnf(2994,plain, % 4.97/4.89 (~P11(a98,f7(a98,f10(a98,x29941,x29942),x29942),x29941)), % 4.97/4.89 inference(rename_variables,[],[2434])). % 4.97/4.89 cnf(2997,plain, % 4.97/4.89 (~E(f10(a98,x29971,f10(a98,f3(a98),f4(a98))),x29971)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3000,plain, % 4.97/4.89 (~P11(a98,f7(a98,f10(a98,x30001,x30002),x30002),x30001)), % 4.97/4.89 inference(rename_variables,[],[2434])). % 4.97/4.89 cnf(3003,plain, % 4.97/4.89 (P11(a98,x30031,f10(a98,f10(a98,x30031,x30032),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[633])). % 4.97/4.89 cnf(3008,plain, % 4.97/4.89 (~P11(a98,f7(a98,f10(a98,x30081,x30082),x30082),x30081)), % 4.97/4.89 inference(rename_variables,[],[2434])). % 4.97/4.89 cnf(3011,plain, % 4.97/4.89 (~P11(a98,f7(a98,f10(a98,x30111,x30112),x30112),x30111)), % 4.97/4.89 inference(rename_variables,[],[2434])). % 4.97/4.89 cnf(3014,plain, % 4.97/4.89 (~P11(a98,f7(a98,f10(a98,x30141,x30142),x30142),x30141)), % 4.97/4.89 inference(rename_variables,[],[2434])). % 4.97/4.89 cnf(3017,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x30171,f4(a98)),x30172),x30172),x30171)), % 4.97/4.89 inference(rename_variables,[],[2870])). % 4.97/4.89 cnf(3027,plain, % 4.97/4.89 (P10(a98,x30271,f20(f22(a98,x30271)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3030,plain, % 4.97/4.89 (~E(f8(a1,f10(a99,f8(a1,x30301),f4(a99))),x30301)), % 4.97/4.89 inference(rename_variables,[],[2365])). % 4.97/4.89 cnf(3032,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x30321,f4(a98)),x30322),x30322),x30321)), % 4.97/4.89 inference(rename_variables,[],[2870])). % 4.97/4.89 cnf(3035,plain, % 4.97/4.89 (E(f10(a99,f3(a99),x30351),x30351)), % 4.97/4.89 inference(rename_variables,[],[554])). % 4.97/4.89 cnf(3038,plain, % 4.97/4.89 (P10(a98,x30381,f20(f22(a98,x30381)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3045,plain, % 4.97/4.89 (~P11(a98,x30451,f7(a98,x30451,x30452))), % 4.97/4.89 inference(rename_variables,[],[2261])). % 4.97/4.89 cnf(3050,plain, % 4.97/4.89 (P11(a1,x30501,f10(a1,x30502,f10(a1,f22(a98,f20(f5(a1,f7(a1,x30501,x30502)))),f4(a1))))), % 4.97/4.89 inference(rename_variables,[],[2344])). % 4.97/4.89 cnf(3060,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x30601,f4(a98)),x30602),x30602),x30601)), % 4.97/4.89 inference(rename_variables,[],[2870])). % 4.97/4.89 cnf(3065,plain, % 4.97/4.89 (P11(a1,x30651,f22(a98,f20(f10(a1,x30651,f4(a1)))))), % 4.97/4.89 inference(rename_variables,[],[2341])). % 4.97/4.89 cnf(3068,plain, % 4.97/4.89 (P10(a98,x30681,f20(f22(a98,x30681)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3071,plain, % 4.97/4.89 (P10(a98,x30711,f20(f22(a98,x30711)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3084,plain, % 4.97/4.89 (~P11(a99,f10(a99,f8(a99,f10(a99,f8(a99,x30841),f4(a99))),f4(a99)),x30841)), % 4.97/4.89 inference(rename_variables,[],[2858])). % 4.97/4.89 cnf(3099,plain, % 4.97/4.89 (E(f7(a98,f10(a98,x30991,x30992),x30991),x30992)), % 4.97/4.89 inference(rename_variables,[],[588])). % 4.97/4.89 cnf(3104,plain, % 4.97/4.89 (~E(f10(a1,f25(f25(f9(a1),f7(a1,x31041,x31042)),x31043),f10(a98,f10(a1,f25(f25(f9(a1),f7(a1,x31042,x31041)),x31043),x31044),f4(a98))),x31044)), % 4.97/4.89 inference(rename_variables,[],[2862])). % 4.97/4.89 cnf(3110,plain, % 4.97/4.89 (E(x31101,f10(a98,f7(a98,x31101,x31101),x31101))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3112,plain, % 4.97/4.89 (~P10(a99,x31121,f8(a99,f10(a99,f8(a99,x31121),f4(a99))))), % 4.97/4.89 inference(rename_variables,[],[2567])). % 4.97/4.89 cnf(3115,plain, % 4.97/4.89 (~P10(a99,x31151,f8(a99,f10(a99,f8(a99,x31151),f4(a99))))), % 4.97/4.89 inference(rename_variables,[],[2567])). % 4.97/4.89 cnf(3120,plain, % 4.97/4.89 (P10(a99,x31201,f5(a99,x31201))), % 4.97/4.89 inference(rename_variables,[],[2554])). % 4.97/4.89 cnf(3123,plain, % 4.97/4.89 (E(f25(x31231,f69(f25(x31231,f3(a98)),x31231,f3(a98))),f25(x31231,f3(a98)))), % 4.97/4.89 inference(rename_variables,[],[2755])). % 4.97/4.89 cnf(3127,plain, % 4.97/4.89 (~E(f10(a98,x31271,f10(a98,x31272,f4(a98))),x31272)), % 4.97/4.89 inference(rename_variables,[],[2175])). % 4.97/4.89 cnf(3130,plain, % 4.97/4.89 (P11(a99,f7(a99,x31301,f4(a99)),x31301)), % 4.97/4.89 inference(rename_variables,[],[2291])). % 4.97/4.89 cnf(3133,plain, % 4.97/4.89 (P11(a99,x31331,f10(a99,x31331,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2098])). % 4.97/4.89 cnf(3138,plain, % 4.97/4.89 (P11(a98,x31381,f10(a98,x31382,f10(a98,x31381,f4(a98))))), % 4.97/4.89 inference(rename_variables,[],[2243])). % 4.97/4.89 cnf(3141,plain, % 4.97/4.89 (~P10(a99,f10(a99,x31411,f4(a99)),x31411)), % 4.97/4.89 inference(rename_variables,[],[2270])). % 4.97/4.89 cnf(3151,plain, % 4.97/4.89 (~P11(a99,x31511,f8(a99,f10(a99,f8(a99,f10(a99,x31511,f4(a99))),f4(a99))))), % 4.97/4.89 inference(rename_variables,[],[2830])). % 4.97/4.89 cnf(3154,plain, % 4.97/4.89 (E(f25(x31541,f69(f25(x31541,f3(a98)),x31541,f3(a98))),f25(x31541,f3(a98)))), % 4.97/4.89 inference(rename_variables,[],[2755])). % 4.97/4.89 cnf(3161,plain, % 4.97/4.89 (P11(a99,f7(a99,x31611,f4(a99)),x31611)), % 4.97/4.89 inference(rename_variables,[],[2291])). % 4.97/4.89 cnf(3164,plain, % 4.97/4.89 (P10(a98,x31641,f10(a98,x31642,x31641))), % 4.97/4.89 inference(rename_variables,[],[583])). % 4.97/4.89 cnf(3168,plain, % 4.97/4.89 (P11(a99,x31681,f10(a99,x31681,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2098])). % 4.97/4.89 cnf(3175,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x31751,f4(a98)),x31752),x31752),x31751)), % 4.97/4.89 inference(rename_variables,[],[2870])). % 4.97/4.89 cnf(3180,plain, % 4.97/4.89 (P10(a98,x31801,f20(f22(a98,x31801)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3185,plain, % 4.97/4.89 (P10(a98,x31851,f20(f22(a98,x31851)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3188,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x31881,f4(a98)),x31882),x31882),x31881)), % 4.97/4.89 inference(rename_variables,[],[2870])). % 4.97/4.89 cnf(3191,plain, % 4.97/4.89 (~P11(a1,x31911,f10(a1,f25(f25(f9(a1),f7(a1,x31912,x31912)),x31913),x31911))), % 4.97/4.89 inference(rename_variables,[],[2442])). % 4.97/4.89 cnf(3194,plain, % 4.97/4.89 (~E(f10(a98,x31941,f10(a98,f3(a98),f4(a98))),x31941)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3197,plain, % 4.97/4.89 (P10(a98,f12(f22(a98,x31971)),x31971)), % 4.97/4.89 inference(rename_variables,[],[2235])). % 4.97/4.89 cnf(3198,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x31981)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3201,plain, % 4.97/4.89 (P11(a98,x32011,f10(a98,f10(a98,x32011,x32012),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[633])). % 4.97/4.89 cnf(3209,plain, % 4.97/4.89 (~E(f10(a98,x32091,f10(a98,f3(a98),f4(a98))),x32091)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3212,plain, % 4.97/4.89 (~E(f10(a98,x32121,f10(a98,f3(a98),f4(a98))),x32121)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3215,plain, % 4.97/4.89 (~E(f10(a1,f5(a1,x32151),f10(a1,f22(a98,f20(f4(a1))),f4(a1))),x32151)), % 4.97/4.89 inference(rename_variables,[],[2801])). % 4.97/4.89 cnf(3221,plain, % 4.97/4.89 (~P10(a98,f10(a98,x32211,f10(a98,x32212,f4(a98))),x32212)), % 4.97/4.89 inference(rename_variables,[],[2267])). % 4.97/4.89 cnf(3224,plain, % 4.97/4.89 (~E(f10(a98,x32241,f10(a98,f3(a98),f4(a98))),x32241)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3229,plain, % 4.97/4.89 (~P11(a99,x32291,x32291)), % 4.97/4.89 inference(rename_variables,[],[2069])). % 4.97/4.89 cnf(3234,plain, % 4.97/4.89 (~P11(a98,x32341,f10(a98,f25(f25(f9(a98),f7(a98,x32342,x32342)),x32343),x32341))), % 4.97/4.89 inference(rename_variables,[],[2658])). % 4.97/4.89 cnf(3235,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x32351)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3240,plain, % 4.97/4.89 (~E(f8(a1,f10(a99,f8(a1,x32401),f4(a99))),x32401)), % 4.97/4.89 inference(rename_variables,[],[2365])). % 4.97/4.89 cnf(3243,plain, % 4.97/4.89 (~E(x32431,f10(a99,x32431,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2167])). % 4.97/4.89 cnf(3254,plain, % 4.97/4.89 (~E(f10(a1,f25(f25(f9(a1),f7(a1,x32541,x32542)),x32543),f10(a98,f10(a1,f25(f25(f9(a1),f7(a1,x32542,x32541)),x32543),x32544),f4(a98))),x32544)), % 4.97/4.89 inference(rename_variables,[],[2862])). % 4.97/4.89 cnf(3259,plain, % 4.97/4.89 (~E(f10(a98,x32591,f10(a98,f3(a98),f4(a98))),x32591)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3260,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x32601)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3263,plain, % 4.97/4.89 (P11(a1,x32631,f22(a98,f20(f10(a1,x32631,f4(a1)))))), % 4.97/4.89 inference(rename_variables,[],[2341])). % 4.97/4.89 cnf(3266,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x32661),x32661)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3269,plain, % 4.97/4.89 (~E(f10(a98,x32691,f10(a98,f3(a98),f4(a98))),x32691)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3275,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x32751)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3278,plain, % 4.97/4.89 (~E(f10(a98,x32781,f10(a98,f3(a98),f4(a98))),x32781)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3281,plain, % 4.97/4.89 (~E(f10(a98,x32811,f10(a98,x32812,f4(a98))),x32812)), % 4.97/4.89 inference(rename_variables,[],[2175])). % 4.97/4.89 cnf(3284,plain, % 4.97/4.89 (P11(a1,x32841,f22(a98,f20(f10(a1,x32841,f4(a1)))))), % 4.97/4.89 inference(rename_variables,[],[2341])). % 4.97/4.89 cnf(3294,plain, % 4.97/4.89 (P10(a1,x32941,f5(a1,x32941))), % 4.97/4.89 inference(rename_variables,[],[2229])). % 4.97/4.89 cnf(3297,plain, % 4.97/4.89 (P11(a98,x32971,f10(a98,f10(a98,x32971,x32972),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[633])). % 4.97/4.89 cnf(3300,plain, % 4.97/4.89 (E(x33001,f10(a98,f25(f25(f9(a98),f7(a98,x33002,x33002)),x33003),x33001))), % 4.97/4.89 inference(rename_variables,[],[2322])). % 4.97/4.89 cnf(3306,plain, % 4.97/4.89 (~P10(a99,x33061,f8(a99,f10(a99,f8(a99,x33061),f4(a99))))), % 4.97/4.89 inference(rename_variables,[],[2567])). % 4.97/4.89 cnf(3311,plain, % 4.97/4.89 (~P11(a99,f8(a99,f10(a99,f8(a99,f10(a99,x33111,f4(a99))),f4(a99))),x33111)), % 4.97/4.89 inference(rename_variables,[],[2875])). % 4.97/4.89 cnf(3314,plain, % 4.97/4.89 (~P10(a99,x33141,f8(a99,f10(a99,f8(a99,x33141),f4(a99))))), % 4.97/4.89 inference(rename_variables,[],[2567])). % 4.97/4.89 cnf(3317,plain, % 4.97/4.89 (~P11(a98,f10(a98,f10(a98,x33171,x33172),f4(a98)),x33171)), % 4.97/4.89 inference(rename_variables,[],[2394])). % 4.97/4.89 cnf(3318,plain, % 4.97/4.89 (P11(a98,x33181,f10(a98,f10(a98,x33181,x33182),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[633])). % 4.97/4.89 cnf(3323,plain, % 4.97/4.89 (P10(f10(a98,f7(a98,a1,a1),a1),x33231,x33231)), % 4.97/4.89 inference(rename_variables,[],[2448])). % 4.97/4.89 cnf(3329,plain, % 4.97/4.89 (P11(a1,f7(a1,x33291,f10(a1,f22(a98,f20(f5(a1,f7(a1,x33292,x33291)))),f4(a1))),x33292)), % 4.97/4.89 inference(rename_variables,[],[2625])). % 4.97/4.89 cnf(3332,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x33321),x33321)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3336,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x33361)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3341,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x33411),x33411)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3345,plain, % 4.97/4.89 (~E(f10(a98,x33451,f10(a98,f3(a98),f4(a98))),x33451)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3352,plain, % 4.97/4.89 (~E(f10(a98,x33521,f10(a98,x33522,f4(a98))),x33522)), % 4.97/4.89 inference(rename_variables,[],[2175])). % 4.97/4.89 cnf(3362,plain, % 4.97/4.89 (~P10(a1,f5(a1,f10(a1,x33621,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x33621)), % 4.97/4.89 inference(rename_variables,[],[2709])). % 4.97/4.89 cnf(3365,plain, % 4.97/4.89 (E(x33651,f10(a98,f7(a98,x33651,x33651),x33651))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3367,plain, % 4.97/4.89 (E(x33671,f10(a98,f7(a98,x33671,x33671),x33671))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3371,plain, % 4.97/4.89 (E(x33711,f10(a98,f7(a98,x33711,x33711),x33711))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3373,plain, % 4.97/4.89 (~P11(a98,x33731,f10(a98,f25(f25(f9(a98),f7(a98,x33732,x33732)),x33733),x33731))), % 4.97/4.89 inference(rename_variables,[],[2658])). % 4.97/4.89 cnf(3378,plain, % 4.97/4.89 (E(x33781,f10(a98,f7(a98,x33781,x33781),x33781))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3383,plain, % 4.97/4.89 (E(x33831,f10(a98,f7(a98,x33831,x33831),x33831))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3387,plain, % 4.97/4.89 (E(x33871,f10(a98,f7(a98,x33871,x33871),x33871))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3390,plain, % 4.97/4.89 (~P11(a98,x33901,f7(a98,f4(a98),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[2828])). % 4.97/4.89 cnf(3393,plain, % 4.97/4.89 (E(x33931,f10(a98,f7(a98,x33931,x33931),x33931))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3395,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x33951),x33951)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3398,plain, % 4.97/4.89 (~E(x33981,f10(a1,f25(f25(f9(a1),f7(a1,x33982,x33983)),x33984),f10(a98,f10(a1,f25(f25(f9(a1),f7(a1,x33983,x33982)),x33984),x33981),f4(a98))))), % 4.97/4.89 inference(rename_variables,[],[2640])). % 4.97/4.89 cnf(3401,plain, % 4.97/4.89 (E(x34011,f10(a98,f7(a98,x34011,x34011),x34011))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3402,plain, % 4.97/4.89 (P11(a98,f3(a98),f10(a98,x34021,f25(f25(f13(a98),x34022),f3(a98))))), % 4.97/4.89 inference(rename_variables,[],[2687])). % 4.97/4.89 cnf(3405,plain, % 4.97/4.89 (E(x34051,f10(a98,f7(a98,x34051,x34051),x34051))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3407,plain, % 4.97/4.89 (E(x34071,f10(a98,f7(a98,x34071,x34071),x34071))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3411,plain, % 4.97/4.89 (~P10(a99,x34111,f8(a99,f10(a99,f8(a99,x34111),f4(a99))))), % 4.97/4.89 inference(rename_variables,[],[2567])). % 4.97/4.89 cnf(3414,plain, % 4.97/4.89 (~E(f10(a98,x34141,f10(a98,f3(a98),f4(a98))),x34141)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3419,plain, % 4.97/4.89 (~E(f10(a98,x34191,f10(a98,f3(a98),f4(a98))),x34191)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3425,plain, % 4.97/4.89 (E(x34251,f10(a98,f7(a98,x34251,x34251),x34251))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3427,plain, % 4.97/4.89 (~E(f10(a98,x34271,f10(a98,f3(a98),f4(a98))),x34271)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3430,plain, % 4.97/4.89 (E(x34301,f10(a98,f7(a98,x34301,x34301),x34301))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3432,plain, % 4.97/4.89 (~E(f10(a98,x34321,f10(a98,f3(a98),f4(a98))),x34321)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3434,plain, % 4.97/4.89 (~E(f10(a98,x34341,f10(a98,f3(a98),f4(a98))),x34341)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3437,plain, % 4.97/4.89 (~P10(a1,f5(a1,f10(a1,x34371,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x34371)), % 4.97/4.89 inference(rename_variables,[],[2709])). % 4.97/4.89 cnf(3440,plain, % 4.97/4.89 (P11(a98,x34401,f10(a98,f10(a98,x34401,x34402),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[633])). % 4.97/4.89 cnf(3443,plain, % 4.97/4.89 (~E(x34431,f10(a99,x34431,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2167])). % 4.97/4.89 cnf(3446,plain, % 4.97/4.89 (E(x34461,f10(a98,f7(a98,x34461,x34461),x34461))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3448,plain, % 4.97/4.89 (E(x34481,f10(a98,f7(a98,x34481,x34481),x34481))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3450,plain, % 4.97/4.89 (E(x34501,f10(a98,f7(a98,x34501,x34501),x34501))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3452,plain, % 4.97/4.89 (E(x34521,f10(a98,f7(a98,x34521,x34521),x34521))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3454,plain, % 4.97/4.89 (~P11(a1,f10(a1,f22(a98,f20(x34541)),f4(a1)),x34541)), % 4.97/4.89 inference(rename_variables,[],[2398])). % 4.97/4.89 cnf(3457,plain, % 4.97/4.89 (~P11(a98,x34571,f7(a98,x34571,x34572))), % 4.97/4.89 inference(rename_variables,[],[2261])). % 4.97/4.89 cnf(3458,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x34581)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3461,plain, % 4.97/4.89 (E(x34611,f10(a98,f7(a98,x34611,x34611),x34611))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3464,plain, % 4.97/4.89 (~P11(a98,x34641,f7(a98,f4(a98),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[2828])). % 4.97/4.89 cnf(3467,plain, % 4.97/4.89 (E(x34671,f10(a98,f7(a98,x34671,x34671),x34671))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3469,plain, % 4.97/4.89 (E(x34691,f10(a98,f7(a98,x34691,x34691),x34691))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3473,plain, % 4.97/4.89 (E(x34731,f10(a98,f7(a98,x34731,x34731),x34731))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3475,plain, % 4.97/4.89 (E(x34751,f10(a98,f7(a98,x34751,x34751),x34751))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3479,plain, % 4.97/4.89 (~E(f10(a98,x34791,f10(a98,f3(a98),f4(a98))),x34791)), % 4.97/4.89 inference(rename_variables,[],[2169])). % 4.97/4.89 cnf(3482,plain, % 4.97/4.89 (~P10(a1,f5(a1,f10(a1,x34821,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x34821)), % 4.97/4.89 inference(rename_variables,[],[2709])). % 4.97/4.89 cnf(3486,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x34861)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3492,plain, % 4.97/4.89 (E(x34921,f10(a98,f7(a98,x34921,x34921),x34921))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3494,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x34941)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3497,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x34971),x34971)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3500,plain, % 4.97/4.89 (E(x35001,f10(a98,f7(a98,x35001,x35001),x35001))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3502,plain, % 4.97/4.89 (E(x35021,f10(a98,f7(a98,x35021,x35021),x35021))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3509,plain, % 4.97/4.89 (E(x35091,f10(a98,f7(a98,x35091,x35091),x35091))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3511,plain, % 4.97/4.89 (E(x35111,f10(a98,f7(a98,x35111,x35111),x35111))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3513,plain, % 4.97/4.89 (E(x35131,f10(a98,f7(a98,x35131,x35131),x35131))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3521,plain, % 4.97/4.89 (E(x35211,f10(a98,f7(a98,x35211,x35211),x35211))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3523,plain, % 4.97/4.89 (E(x35231,f10(a98,f7(a98,x35231,x35231),x35231))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3525,plain, % 4.97/4.89 (E(x35251,f10(a98,f7(a98,x35251,x35251),x35251))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3527,plain, % 4.97/4.89 (~E(x35271,f10(a99,x35271,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2167])). % 4.97/4.89 cnf(3536,plain, % 4.97/4.89 (~P11(a1,f10(a1,f22(a98,f20(x35361)),f4(a1)),x35361)), % 4.97/4.89 inference(rename_variables,[],[2398])). % 4.97/4.89 cnf(3539,plain, % 4.97/4.89 (E(x35391,f10(a98,f7(a98,x35391,x35391),x35391))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3547,plain, % 4.97/4.89 (P10(a99,x35471,f5(a99,x35471))), % 4.97/4.89 inference(rename_variables,[],[2554])). % 4.97/4.89 cnf(3552,plain, % 4.97/4.89 (E(x35521,f10(a98,f7(a98,x35521,x35521),x35521))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3556,plain, % 4.97/4.89 (E(x35561,f10(a98,f7(a98,x35561,x35561),x35561))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3558,plain, % 4.97/4.89 (E(x35581,f10(a98,f7(a98,x35581,x35581),x35581))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3560,plain, % 4.97/4.89 (E(x35601,f10(a98,f7(a98,x35601,x35601),x35601))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3562,plain, % 4.97/4.89 (~P11(a1,x35621,f10(a1,f25(f25(f9(a1),f7(a1,x35622,x35622)),x35623),x35621))), % 4.97/4.89 inference(rename_variables,[],[2442])). % 4.97/4.89 cnf(3564,plain, % 4.97/4.89 (~E(x35641,f10(a99,x35641,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2167])). % 4.97/4.89 cnf(3570,plain, % 4.97/4.89 (~P10(a1,f5(a1,f10(a1,x35701,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x35701)), % 4.97/4.89 inference(rename_variables,[],[2709])). % 4.97/4.89 cnf(3576,plain, % 4.97/4.89 (E(x35761,f10(a98,f7(a98,x35761,x35761),x35761))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3578,plain, % 4.97/4.89 (E(x35781,f10(a98,f7(a98,x35781,x35781),x35781))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3583,plain, % 4.97/4.89 (E(x35831,f10(a98,f7(a98,x35831,x35831),x35831))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3588,plain, % 4.97/4.89 (E(x35881,f10(a98,f7(a98,x35881,x35881),x35881))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3590,plain, % 4.97/4.89 (E(x35901,f10(a98,f7(a98,x35901,x35901),x35901))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3592,plain, % 4.97/4.89 (E(x35921,f10(a98,f7(a98,x35921,x35921),x35921))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3594,plain, % 4.97/4.89 (E(x35941,f10(a98,f7(a98,x35941,x35941),x35941))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3596,plain, % 4.97/4.89 (E(x35961,f10(a98,f7(a98,x35961,x35961),x35961))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3598,plain, % 4.97/4.89 (E(x35981,f10(a98,f7(a98,x35981,x35981),x35981))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3600,plain, % 4.97/4.89 (E(x36001,f10(a98,f7(a98,x36001,x36001),x36001))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3602,plain, % 4.97/4.89 (E(x36021,f10(a98,f7(a98,x36021,x36021),x36021))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3604,plain, % 4.97/4.89 (E(x36041,f10(a98,f7(a98,x36041,x36041),x36041))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3606,plain, % 4.97/4.89 (E(x36061,f10(a98,f7(a98,x36061,x36061),x36061))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3608,plain, % 4.97/4.89 (E(x36081,f10(a98,f7(a98,x36081,x36081),x36081))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3610,plain, % 4.97/4.89 (E(x36101,f10(a98,f7(a98,x36101,x36101),x36101))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3612,plain, % 4.97/4.89 (E(x36121,f10(a98,f7(a98,x36121,x36121),x36121))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3614,plain, % 4.97/4.89 (E(x36141,f10(a98,f7(a98,x36141,x36141),x36141))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3616,plain, % 4.97/4.89 (E(x36161,f10(a98,f7(a98,x36161,x36161),x36161))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3618,plain, % 4.97/4.89 (E(x36181,f10(a98,f7(a98,x36181,x36181),x36181))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3620,plain, % 4.97/4.89 (E(x36201,f10(a98,f7(a98,x36201,x36201),x36201))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3622,plain, % 4.97/4.89 (E(x36221,f10(a98,f7(a98,x36221,x36221),x36221))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3624,plain, % 4.97/4.89 (E(x36241,f10(a98,f7(a98,x36241,x36241),x36241))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3626,plain, % 4.97/4.89 (E(x36261,f10(a98,f7(a98,x36261,x36261),x36261))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3628,plain, % 4.97/4.89 (E(x36281,f10(a98,f7(a98,x36281,x36281),x36281))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3630,plain, % 4.97/4.89 (E(x36301,f10(a98,f7(a98,x36301,x36301),x36301))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3632,plain, % 4.97/4.89 (E(x36321,f10(a98,f7(a98,x36321,x36321),x36321))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3634,plain, % 4.97/4.89 (E(x36341,f10(a98,f7(a98,x36341,x36341),x36341))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3636,plain, % 4.97/4.89 (E(x36361,f10(a98,f7(a98,x36361,x36361),x36361))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3638,plain, % 4.97/4.89 (E(x36381,f10(a98,f7(a98,x36381,x36381),x36381))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3640,plain, % 4.97/4.89 (~P10(a1,f5(a1,f10(a1,x36401,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x36401)), % 4.97/4.89 inference(rename_variables,[],[2709])). % 4.97/4.89 cnf(3642,plain, % 4.97/4.89 (E(x36421,f10(a98,f7(a98,x36421,x36421),x36421))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3644,plain, % 4.97/4.89 (E(x36441,f10(a98,f7(a98,x36441,x36441),x36441))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3646,plain, % 4.97/4.89 (E(x36461,f10(a98,f7(a98,x36461,x36461),x36461))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3648,plain, % 4.97/4.89 (E(x36481,f10(a98,f7(a98,x36481,x36481),x36481))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3650,plain, % 4.97/4.89 (E(x36501,f10(a98,f7(a98,x36501,x36501),x36501))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3652,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x36521),x36521)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3654,plain, % 4.97/4.89 (E(x36541,f10(a98,f7(a98,x36541,x36541),x36541))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3656,plain, % 4.97/4.89 (E(x36561,f10(a98,f7(a98,x36561,x36561),x36561))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3658,plain, % 4.97/4.89 (E(x36581,f10(a98,f7(a98,x36581,x36581),x36581))), % 4.97/4.89 inference(rename_variables,[],[2189])). % 4.97/4.89 cnf(3670,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x36701)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3671,plain, % 4.97/4.89 (P10(a98,x36711,f20(f22(a98,x36711)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3677,plain, % 4.97/4.89 (P11(a1,x36771,f10(a1,x36772,f10(a1,f22(a98,f20(f5(a1,f7(a1,x36771,x36772)))),f4(a1))))), % 4.97/4.89 inference(rename_variables,[],[2344])). % 4.97/4.89 cnf(3681,plain, % 4.97/4.89 (P11(a99,x36811,f10(a99,x36811,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2098])). % 4.97/4.89 cnf(3682,plain, % 4.97/4.89 (P10(a99,x36821,f5(a99,x36821))), % 4.97/4.89 inference(rename_variables,[],[2554])). % 4.97/4.89 cnf(3686,plain, % 4.97/4.89 (P10(a98,x36861,f20(f22(a98,x36861)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3689,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x36891)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3690,plain, % 4.97/4.89 (~P10(a98,f10(a98,f7(a98,f10(a98,x36901,f4(a98)),x36902),x36902),x36901)), % 4.97/4.89 inference(rename_variables,[],[2870])). % 4.97/4.89 cnf(3698,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x36981),x36981)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3699,plain, % 4.97/4.89 (P11(a1,x36991,f10(a1,x36992,f10(a1,f22(a98,f20(f5(a1,f7(a1,x36991,x36992)))),f4(a1))))), % 4.97/4.89 inference(rename_variables,[],[2344])). % 4.97/4.89 cnf(3703,plain, % 4.97/4.89 (~P11(a98,x37031,f7(a98,f4(a98),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[2828])). % 4.97/4.89 cnf(3710,plain, % 4.97/4.89 (P10(a98,f7(a98,f4(a98),f4(a98)),x37101)), % 4.97/4.89 inference(rename_variables,[],[2826])). % 4.97/4.89 cnf(3711,plain, % 4.97/4.89 (P10(a98,x37111,f20(f22(a98,x37111)))), % 4.97/4.89 inference(rename_variables,[],[2232])). % 4.97/4.89 cnf(3715,plain, % 4.97/4.89 (~P11(a98,x37151,f7(a98,f4(a98),f4(a98)))), % 4.97/4.89 inference(rename_variables,[],[2828])). % 4.97/4.89 cnf(3718,plain, % 4.97/4.89 (~P10(a1,f5(a1,f10(a1,x37181,f10(a1,f22(a98,f20(f4(a1))),f4(a1)))),x37181)), % 4.97/4.89 inference(rename_variables,[],[2709])). % 4.97/4.89 cnf(3721,plain, % 4.97/4.89 (P11(a1,f7(a1,x37211,f10(a1,f22(a98,f20(f5(a1,f7(a1,x37212,x37211)))),f4(a1))),x37212)), % 4.97/4.89 inference(rename_variables,[],[2625])). % 4.97/4.89 cnf(3724,plain, % 4.97/4.89 (P11(a99,x37241,f10(a99,x37241,f4(a99)))), % 4.97/4.89 inference(rename_variables,[],[2098])). % 4.97/4.89 cnf(3740,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x37401),x37401)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3746,plain, % 4.97/4.89 (P11(a1,x37461,f10(a1,x37462,f10(a1,f22(a98,f20(f5(a1,f7(a1,x37461,x37462)))),f4(a1))))), % 4.97/4.89 inference(rename_variables,[],[2344])). % 4.97/4.89 cnf(3749,plain, % 4.97/4.89 (~P11(a1,f10(a1,f10(a1,f22(a98,f20(f3(a1))),f4(a1)),x37491),x37491)), % 4.97/4.89 inference(rename_variables,[],[2696])). % 4.97/4.89 cnf(3750,plain, % 4.97/4.89 (P11(a1,x37501,f10(a1,x37502,f10(a1,f22(a98,f20(f5(a1,f7(a1,x37501,x37502)))),f4(a1))))), % 4.97/4.89 inference(rename_variables,[],[2344])). % 4.97/4.89 cnf(3794,plain, % 4.97/4.89 ($false), % 4.97/4.89 inference(scs_inference,[],[2158,2680,2350,2347,2348,2696,2934,2954,3266,3332,3341,3395,3497,3652,3698,3740,3749,2344,3050,3677,3699,3746,3750,2702,2341,2947,3065,3263,3284,2330,2844,2690,2671,2687,3402,2683,2328,2700,2098,3133,3168,3681,3724,2024,2521,2520,2519,2518,2517,2516,2515,2514,2513,2512,2511,2510,2509,2508,2507,2506,2505,2504,2503,2502,2501,2500,2499,2498,2497,2496,2495,2494,2493,2492,2491,2490,2489,2488,2487,2486,2484,2483,2482,2481,2480,2479,2478,2477,2476,2475,2472,2471,2470,2469,2466,2465,2464,2463,2460,2459,2458,2457,2456,2369,2455,2454,2392,2448,3323,2453,2447,2451,2169,2997,3194,3209,3212,3224,3259,3269,3278,3345,3414,3419,3427,3432,3434,3479,2189,3110,3365,3367,3371,3378,3383,3387,3393,3401,3405,3407,3425,3430,3446,3448,3450,3452,3461,3467,3469,3473,3475,3492,3500,3502,3509,3511,3513,3521,3523,3525,3539,3552,3556,3558,3560,3576,3578,3583,3588,3590,3592,3594,3596,3598,3600,3602,3604,3606,3608,3610,3612,3614,3616,3618,3620,3622,3624,3626,3628,3630,3632,3634,3636,3638,3642,3644,3646,3648,3650,3654,3656,3658,2175,3127,3281,3352,2801,2967,3215,2862,3104,3254,2167,3243,3443,3527,3564,2178,2375,2446,2163,2787,2365,3030,3240,2793,2850,2774,2784,2485,2770,2442,3191,3562,2434,2987,2994,3000,3008,3011,3014,2394,3317,2398,3454,3536,2858,2929,2977,3084,2709,2895,3362,3437,3482,3570,3640,3718,2184,2406,2449,2380,2069,3229,456,455,554,2923,3035,445,443,444,559,558,460,563,633,3003,3201,3297,3318,3440,591,458,459,2561,2755,2980,3123,3154,2536,2322,3300,2324,2637,2640,3398,2573,2610,2559,2606,2828,3390,3464,3703,3715,2826,3198,3235,3260,3275,3336,3458,3486,3494,3670,3689,3710,2569,2232,3027,3038,3068,3071,3180,3185,3671,3686,3711,2235,3197,2238,2960,2866,2261,3045,3457,2649,2658,3234,3373,2310,2901,2316,2870,2937,3017,3032,3060,3175,3188,3690,2645,2663,2243,3138,2267,3221,2304,2625,3329,3721,2647,2661,2907,2836,2229,2926,3294,2554,2915,3120,3547,3682,2214,2270,2898,3141,2291,2904,3130,3161,2744,2724,2285,2567,2944,3112,3115,3306,3314,3411,2830,3151,2875,3311,2656,2582,2579,2575,2741,2760,330,381,420,423,426,472,476,516,588,3099,564,604,627,539,541,570,583,3164,565,318,419,422,441,488,515,608,317,337,383,477,439,418,424,486,329,379,380,416,417,484,485,382,475,343,1092,1323,1316,1426,1519,1527,911,1433,1520,957,1424,1127,1328,792,845,1233,1427,886,1053,1211,923,2110,1388,1635,1431,1425,1386,867,958,1721,909,1329,1931,892,1332,1614,846,1128,1232,900,1298,1412,797,1099,1325,1104,1294,1730,1616,1028,1411,33,1613,1056,1533,1054,1029,1301,917,1471,15,922,891,956,1296,1511,1057,1410,1512,1720,1034,1117,916,1100,1146,1525,979,1094,1300,1045,19,20,2,753,272,1174,1193,1238,1240,1281,1289,1438,1496,1838,1999,2000,2002,2008,2010,967,1081,1541,1542,1665,1578,1667,1138,1544,1658,1734,1350,1732,1666,1741,2011,951,1110,1481,1997,1186,768,981,908,1109,2006,982,1133,2003,931,2005,1209,752,1244,1175,1214,771,907,1543,1243,1874,1205,759,847,1515,941,1966,1873,1207,1736,1661,1389,1495,1957,757,1185,1059,1196,1208,1659,1227,2014,2001,1462,1221,1998,1089,1206,1079,1137,815,1967,1169,991,1494,1183,258,260,930,232,2007,1228,311,1179,259,947,253,1437,267,1184,1965,1419,268,287,1357,1485,767,1061,940,769,284,770,256,3,1062,1482,1510,776,278,226,257,302,1040,1043,309,966,265,295,1356,239,1499,774,1219,1956,1964,234,1351,1484,292,303,1225,1955,244,246,255,1738,1483,285,300,254,1954,2004,1170,1547,281,1366,1486,1662,817,271,1548,270,286,280,228,983,1223,1204,2009,233,294,848,261,1742,262,273,282,264,230,238,312,269,291,299,277,305,266,290,298,308,279,247,283,242,252,293,296,263,301,241,231,229,245,225,237,243,227,304,297,251,274,1415,1270,1271,1872,1572,1567,1779,1871,1202,1575,1001,1683,1068,1530,1497,1076,1528,1277,1780,1414,1573,1070,1532,1150,1276,1685,1274,1529,1272,1684,1531,1275,1273,1682,2138,1768,1403,1375,2077,40,859]), % 4.97/4.89 ['proof']). % 4.97/4.89 % SZS output end Proof % 4.97/4.89 % Total time :3.450000s %------------------------------------------------------------------------------