%------------------------------------------------------------------------------ % File : CSE---1.7 % Problem : SWW258+1 : TPTP v8.2.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % Computer : n017.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 18:06:33 EDT 2024 % Result : Theorem 5.66s 5.57s % Output : CNFRefutation 5.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SWW258+1 : TPTP v8.2.0. Released v5.2.0. % 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s % 0.12/0.32 % Computer : n017.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 300 % 0.12/0.32 % DateTime : Wed Jun 19 04:32:39 EDT 2024 % 0.12/0.33 % CPUTime : % 0.19/0.57 start to proof:theBenchmark % 5.43/5.50 %------------------------------------------- % 5.43/5.50 % File :CSE---1.7 % 5.43/5.50 % Problem :theBenchmark % 5.43/5.50 % Transform :cnf % 5.43/5.50 % Format :tptp:raw % 5.43/5.50 % Command :java -jar mcs_scs.jar %d %s % 5.43/5.50 % 5.43/5.50 % Result :Theorem 4.390000s % 5.43/5.50 % Output :CNFRefutation 4.390000s % 5.43/5.50 %------------------------------------------- % 5.43/5.50 %------------------------------------------------------------------------------ % 5.43/5.50 % File : SWW258+1 : TPTP v8.2.0. Released v5.2.0. % 5.43/5.50 % Domain : Software Verification % 5.43/5.50 % Problem : Fundamental Theorem of Algebra 438432, 1000 axioms selected % 5.43/5.50 % Version : Especial. % 5.43/5.50 % English : % 5.43/5.50 % 5.43/5.50 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day % 5.43/5.50 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe % 5.43/5.50 % Source : [Bla11] % 5.43/5.50 % Names : fta_438432.1000.p [Bla11] % 5.43/5.50 % 5.43/5.50 % Status : Theorem % 5.43/5.50 % Rating : 0.50 v8.2.0, 0.56 v8.1.0, 0.50 v7.5.0, 0.53 v7.3.0, 0.55 v7.2.0, 0.52 v7.1.0, 0.39 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.46 v6.2.0, 0.48 v6.1.0, 0.63 v6.0.0, 0.61 v5.5.0, 0.74 v5.4.0, 0.75 v5.3.0, 0.81 v5.2.0 % 5.43/5.50 % Syntax : Number of formulae : 1272 ( 365 unt; 0 def) % 5.43/5.50 % Number of atoms : 3035 ( 784 equ) % 5.43/5.50 % Maximal formula atoms : 8 ( 2 avg) % 5.43/5.50 % Number of connectives : 1984 ( 221 ~; 64 |; 119 &) % 5.43/5.50 % ( 246 <=>;1334 =>; 0 <=; 0 <~>) % 5.43/5.50 % Maximal formula depth : 13 ( 5 avg) % 5.43/5.50 % Maximal term depth : 9 ( 2 avg) % 5.43/5.50 % Number of predicates : 78 ( 77 usr; 0 prp; 1-3 aty) % 5.43/5.50 % Number of functors : 39 ( 39 usr; 15 con; 0-3 aty) % 5.43/5.50 % Number of variables : 2764 (2742 !; 22 ?) % 5.43/5.50 % SPC : FOF_THM_RFO_SEQ % 5.43/5.50 % 5.43/5.50 % Comments : This file was generated by Isabelle (most likely Sledgehammer) % 5.43/5.50 % 2011-03-01 11:57:37 % 5.43/5.50 %------------------------------------------------------------------------------ % 5.43/5.50 %----Relevant facts (995) % 5.43/5.50 fof(fact_ext,axiom, % 5.43/5.50 ! [V_g_2,V_f_2] : % 5.43/5.50 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) % 5.43/5.50 => V_f_2 = V_g_2 ) ). % 5.43/5.50 % 5.43/5.50 fof(fact_m_I1_J,axiom, % 5.43/5.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____) ). % 5.43/5.50 % 5.43/5.50 fof(fact_w0,axiom, % 5.43/5.50 v_w____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.50 % 5.43/5.50 fof(fact__0960_A_060_061_Acmod_Aw_096,axiom, % 5.43/5.50 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_w____)) ). % 5.43/5.50 % 5.43/5.50 fof(fact_kas_I2_J,axiom, % 5.43/5.50 v_k____ != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.50 % 5.43/5.50 fof(fact_power__Suc__less,axiom, % 5.43/5.50 ! [V_n,V_a,T_a] : % 5.43/5.50 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.50 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.50 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.50 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ). % 5.43/5.50 % 5.43/5.50 fof(fact_real__mult__inverse__cancel2,axiom, % 5.43/5.50 ! [V_u,V_y,V_x1,V_x] : % 5.43/5.50 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.43/5.50 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1) % 5.43/5.50 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u)) % 5.43/5.51 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1))) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_real__mult__inverse__cancel,axiom, % 5.43/5.51 ! [V_u,V_y,V_x1,V_x] : % 5.43/5.51 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x1) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x1),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_u)) % 5.43/5.51 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x1)),V_u)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_nonzero__norm__inverse,axiom, % 5.43/5.51 ! [V_a,T_a] : % 5.43/5.51 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.43/5.51 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.51 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_norm__mult__less,axiom, % 5.43/5.51 ! [V_s,V_y,V_r,V_x,T_a] : % 5.43/5.51 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) % 5.43/5.51 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_r),V_s)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_zero__less__norm__iff,axiom, % 5.43/5.51 ! [V_x_2,T_a] : % 5.43/5.51 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x_2)) % 5.43/5.51 <=> V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_right__inverse,axiom, % 5.43/5.51 ! [V_a,T_a] : % 5.43/5.51 ( class_Rings_Odivision__ring(T_a) % 5.43/5.51 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_field__inverse,axiom, % 5.43/5.51 ! [V_a,T_a] : % 5.43/5.51 ( class_Fields_Ofield(T_a) % 5.43/5.51 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_left__inverse,axiom, % 5.43/5.51 ! [V_a,T_a] : % 5.43/5.51 ( class_Rings_Odivision__ring(T_a) % 5.43/5.51 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.51 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_one__less__inverse__iff,axiom, % 5.43/5.51 ! [V_x_2,T_a] : % 5.43/5.51 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)) % 5.43/5.51 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) % 5.43/5.51 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_one__less__inverse,axiom, % 5.43/5.51 ! [V_a,T_a] : % 5.43/5.51 ( class_Fields_Olinordered__field(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.51 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_division__ring__inverse__add,axiom, % 5.43/5.51 ! [V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Odivision__ring(T_a) % 5.43/5.51 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.51 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.51 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_kas_I1_J,axiom, % 5.43/5.51 v_a____ != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.51 % 5.43/5.51 fof(fact_w,axiom, % 5.43/5.51 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____)) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.51 % 5.43/5.51 fof(fact_complex__mod__triangle__sub,axiom, % 5.43/5.51 ! [V_z,V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_w,V_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z))) ). % 5.43/5.51 % 5.43/5.51 fof(fact_nat__zero__less__power__iff,axiom, % 5.43/5.51 ! [V_n_2,V_x_2] : % 5.43/5.51 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)) % 5.43/5.51 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) % 5.43/5.51 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_nat__power__less__imp__less,axiom, % 5.43/5.51 ! [V_n,V_m,V_i] : % 5.43/5.51 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)) % 5.43/5.51 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_power__mult,axiom, % 5.43/5.51 ! [V_n,V_m,V_a,T_a] : % 5.43/5.51 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.51 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_power__eq__imp__eq__base,axiom, % 5.43/5.51 ! [V_b,V_n,V_a,T_a] : % 5.43/5.51 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.51 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.43/5.51 => V_a = V_b ) ) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_power__increasing,axiom, % 5.43/5.51 ! [V_a,V_N,V_n,T_a] : % 5.43/5.51 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_power__decreasing,axiom, % 5.43/5.51 ! [V_a,V_N,V_n,T_a] : % 5.43/5.51 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_power__le__imp__le__exp,axiom, % 5.43/5.51 ! [V_n,V_m,V_a,T_a] : % 5.43/5.51 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_power__increasing__iff,axiom, % 5.43/5.51 ! [V_y_2,V_x_2,V_b_2,T_a] : % 5.43/5.51 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)) % 5.43/5.51 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_split__mult__neg__le,axiom, % 5.43/5.51 ! [V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.43/5.51 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.51 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) % 5.43/5.51 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.51 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_split__mult__pos__le,axiom, % 5.43/5.51 ! [V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__ring(T_a) % 5.43/5.51 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.51 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) % 5.43/5.51 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.51 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) ) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__mono,axiom, % 5.43/5.51 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__semiring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__mono_H,axiom, % 5.43/5.51 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__semiring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__left__mono__neg,axiom, % 5.43/5.51 ! [V_c,V_a,V_b,T_a] : % 5.43/5.51 ( class_Rings_Oordered__ring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__right__mono__neg,axiom, % 5.43/5.51 ! [V_c,V_a,V_b,T_a] : % 5.43/5.51 ( class_Rings_Oordered__ring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_comm__mult__left__mono,axiom, % 5.43/5.51 ! [V_c,V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__comm__semiring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__left__mono,axiom, % 5.43/5.51 ! [V_c,V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__semiring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__right__mono,axiom, % 5.43/5.51 ! [V_c,V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__semiring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__nonpos__nonpos,axiom, % 5.43/5.51 ! [V_b,V_a,T_a] : % 5.43/5.51 ( class_Rings_Oordered__ring(T_a) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.51 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.51 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.43/5.51 % 5.43/5.51 fof(fact_mult__nonpos__nonneg,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__nonneg__nonpos2,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__nonneg__nonpos,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__nonneg__nonneg,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Oordered__cancel__semiring(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__le__0__iff,axiom, % 5.43/5.52 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) % 5.43/5.52 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) % 5.43/5.52 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_zero__le__mult__iff,axiom, % 5.43/5.52 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2)) % 5.43/5.52 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) % 5.43/5.52 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) % 5.43/5.52 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 & c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_zero__le__square,axiom, % 5.43/5.52 ! [V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__ring(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_zero__le__one,axiom, % 5.43/5.52 ! [T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_not__one__le__zero,axiom, % 5.43/5.52 ! [T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_power__mono,axiom, % 5.43/5.52 ! [V_n,V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_zero__le__power,axiom, % 5.43/5.52 ! [V_n,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_one__le__power,axiom, % 5.43/5.52 ! [V_n,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__nonpositive__iff__nonpositive,axiom, % 5.43/5.52 ! [V_aa_2,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__nonnegative__iff__nonnegative,axiom, % 5.43/5.52 ! [V_aa_2,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2)) % 5.43/5.52 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_norm__triangle__ineq,axiom, % 5.43/5.52 ! [V_y,V_x,T_a] : % 5.43/5.52 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_norm__ge__zero,axiom, % 5.43/5.52 ! [V_x,T_a] : % 5.43/5.52 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_power__0,axiom, % 5.43/5.52 ! [V_a,T_a] : % 5.43/5.52 ( class_Power_Opower(T_a) % 5.43/5.52 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__left__le__imp__le,axiom, % 5.43/5.52 ! [V_b,V_a,V_c,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__right__le__imp__le,axiom, % 5.43/5.52 ! [V_b,V_c,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__less__imp__less__left,axiom, % 5.43/5.52 ! [V_b,V_a,V_c,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__left__less__imp__less,axiom, % 5.43/5.52 ! [V_b,V_a,V_c,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__less__imp__less__right,axiom, % 5.43/5.52 ! [V_b,V_c,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__right__less__imp__less,axiom, % 5.43/5.52 ! [V_b,V_c,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__le__less__imp__less,axiom, % 5.43/5.52 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__less__le__imp__less,axiom, % 5.43/5.52 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__strict__mono_H,axiom, % 5.43/5.52 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__strict__mono,axiom, % 5.43/5.52 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__le__cancel__left__neg,axiom, % 5.43/5.52 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.43/5.52 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_aa_2) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__le__cancel__left__pos,axiom, % 5.43/5.52 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.43/5.52 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__left__le__one__le,axiom, % 5.43/5.52 ! [V_y,V_x,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__right__le__one__le,axiom, % 5.43/5.52 ! [V_y,V_x,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_power__less__imp__less__base,axiom, % 5.43/5.52 ! [V_b,V_n,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_power__strict__mono,axiom, % 5.43/5.52 ! [V_n,V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__le__imp__le__neg,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__le__imp__le,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_le__imp__inverse__le__neg,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_le__imp__inverse__le,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__le__1__iff,axiom, % 5.43/5.52 ! [V_x_2,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a)) % 5.43/5.52 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_norm__le__zero__iff,axiom, % 5.43/5.52 ! [V_x_2,T_a] : % 5.43/5.52 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.43/5.52 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_norm__mult__ineq,axiom, % 5.43/5.52 ! [V_y,V_x,T_a] : % 5.43/5.52 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y))) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_one__less__power,axiom, % 5.43/5.52 ! [V_n,V_a,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_norm__power__ineq,axiom, % 5.43/5.52 ! [V_n,V_x,T_a] : % 5.43/5.52 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n)) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_convex__bound__le,axiom, % 5.43/5.52 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__1(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) % 5.43/5.52 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_one__le__inverse,axiom, % 5.43/5.52 ! [V_a,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.52 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__less__1__iff,axiom, % 5.43/5.52 ! [V_x_2,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x_2),c_Groups_Oone__class_Oone(T_a)) % 5.43/5.52 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.52 | c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_x_2) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_one__le__inverse__iff,axiom, % 5.43/5.52 ! [V_x_2,T_a] : % 5.43/5.52 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_x_2)) % 5.43/5.52 <=> ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) % 5.43/5.52 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_linorder__neqE__linordered__idom,axiom, % 5.43/5.52 ! [V_y,V_x,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.52 => ( V_x != V_y % 5.43/5.52 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__eq__imp__eq,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.43/5.52 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b) % 5.43/5.52 => V_a = V_b ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__eq__iff__eq,axiom, % 5.43/5.52 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.52 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.43/5.52 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Rings_Oinverse__class_Oinverse(T_a,V_b_2) % 5.43/5.52 <=> V_aa_2 = V_b_2 ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_inverse__inverse__eq,axiom, % 5.43/5.52 ! [V_a,T_a] : % 5.43/5.52 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.43/5.52 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_convex__bound__lt,axiom, % 5.43/5.52 ! [V_v,V_u,V_y,V_a,V_x,T_a] : % 5.43/5.52 ( class_Rings_Olinordered__semiring__1__strict(T_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) % 5.43/5.52 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) % 5.43/5.52 => ( c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) = c_Groups_Oone__class_Oone(T_a) % 5.43/5.52 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y)),V_a) ) ) ) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_divisors__zero,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Ono__zero__divisors(T_a) % 5.43/5.52 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.52 => ( V_a = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.52 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_no__zero__divisors,axiom, % 5.43/5.52 ! [V_b,V_a,T_a] : % 5.43/5.52 ( class_Rings_Ono__zero__divisors(T_a) % 5.43/5.52 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.52 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.52 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.52 % 5.43/5.52 fof(fact_mult__eq__0__iff,axiom, % 5.43/5.52 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.52 ( class_Rings_Oring__no__zero__divisors(T_a) % 5.43/5.52 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.52 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__right_Ozero,axiom, % 5.43/5.53 ! [V_x,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult_Ozero__right,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__zero__right,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Rings_Omult__zero(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__left_Ozero,axiom, % 5.43/5.53 ! [V_y,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult_Ozero__left,axiom, % 5.43/5.53 ! [V_b,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__zero__left,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Rings_Omult__zero(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_zero__neq__one,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Rings_Ozero__neq__one(T_a) % 5.43/5.53 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_one__neq__zero,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Rings_Ozero__neq__one(T_a) % 5.43/5.53 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_combine__common__factor,axiom, % 5.43/5.53 ! [V_c,V_b,V_e,V_a,T_a] : % 5.43/5.53 ( class_Rings_Osemiring(T_a) % 5.43/5.53 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e),V_c)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_e),V_c) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__left_Oadd,axiom, % 5.43/5.53 ! [V_ya,V_y,V_x,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),V_ya) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult_Oadd__left,axiom, % 5.43/5.53 ! [V_b,V_a_H,V_a,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_comm__semiring__class_Odistrib,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Ocomm__semiring(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__right_Oadd,axiom, % 5.43/5.53 ! [V_y,V_x,V_xa,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult_Oadd__right,axiom, % 5.43/5.53 ! [V_b_H,V_b,V_a,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_field__power__not__zero,axiom, % 5.43/5.53 ! [V_n,V_a,T_a] : % 5.43/5.53 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__eq__0__iff,axiom, % 5.43/5.53 ! [V_n_2,V_aa_2,T_a] : % 5.43/5.53 ( ( class_Power_Opower(T_a) % 5.43/5.53 & class_Rings_Omult__zero(T_a) % 5.43/5.53 & class_Rings_Ono__zero__divisors(T_a) % 5.43/5.53 & class_Rings_Ozero__neq__one(T_a) ) % 5.43/5.53 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__mult__distrib,axiom, % 5.43/5.53 ! [V_n,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Ocomm__monoid__mult(T_a) % 5.43/5.53 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__commutes,axiom, % 5.43/5.53 ! [V_n,V_a,T_a] : % 5.43/5.53 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__one,axiom, % 5.43/5.53 ! [V_n,T_a] : % 5.43/5.53 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.53 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_nonzero__inverse__eq__imp__eq,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Rings_Oinverse__class_Oinverse(T_a,V_b) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => V_a = V_b ) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__zero__imp__zero,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_nonzero__inverse__inverse__eq,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = V_a ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_nonzero__imp__inverse__nonzero,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) != c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__nonzero__iff__nonzero,axiom, % 5.43/5.53 ! [V_aa_2,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.43/5.53 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__zero,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_field__inverse__zero,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Fields_Ofield__inverse__zero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__mult__distrib,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Fields_Ofield__inverse__zero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__one,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.43/5.53 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__eq__1__iff,axiom, % 5.43/5.53 ! [V_x_2,T_a] : % 5.43/5.53 ( class_Fields_Ofield__inverse__zero(T_a) % 5.43/5.53 => ( c_Rings_Oinverse__class_Oinverse(T_a,V_x_2) = c_Groups_Oone__class_Oone(T_a) % 5.43/5.53 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__1,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__inverse,axiom, % 5.43/5.53 ! [V_n,V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__one__right,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.53 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__strict__left__mono__neg,axiom, % 5.43/5.53 ! [V_c,V_a,V_b,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__strict__right__mono__neg,axiom, % 5.43/5.53 ! [V_c,V_a,V_b,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_comm__mult__strict__left__mono,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__comm__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__strict__left__mono,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__strict__right__mono,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__neg__neg,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__neg__pos,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__less__cancel__left__neg,axiom, % 5.43/5.53 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_zero__less__mult__pos2,axiom, % 5.43/5.53 ! [V_a,V_b,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_zero__less__mult__pos,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__pos__neg2,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__pos__neg,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__pos__pos,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semiring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__less__cancel__left__pos,axiom, % 5.43/5.53 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__less__cancel__left__disj,axiom, % 5.43/5.53 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.43/5.53 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.43/5.53 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) % 5.43/5.53 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_mult__less__cancel__right__disj,axiom, % 5.43/5.53 ! [V_b_2,V_ca_2,V_aa_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) % 5.43/5.53 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) % 5.43/5.53 & c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) % 5.43/5.53 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_aa_2) ) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_not__square__less__zero,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring(T_a) % 5.43/5.53 => ~ c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_pos__add__strict,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_zero__less__one,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_not__one__less__zero,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_less__1__mult,axiom, % 5.43/5.53 ! [V_n,V_m,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_zero__less__power,axiom, % 5.43/5.53 ! [V_n,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_less__add__one,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__0__left,axiom, % 5.43/5.53 ! [V_n,T_a] : % 5.43/5.53 ( ( class_Power_Opower(T_a) % 5.43/5.53 & class_Rings_Osemiring__0(T_a) ) % 5.43/5.53 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.53 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 5.43/5.53 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.53 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__strict__increasing,axiom, % 5.43/5.53 ! [V_a,V_N,V_n,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__less__imp__less__exp,axiom, % 5.43/5.53 ! [V_n,V_m,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__strict__increasing__iff,axiom, % 5.43/5.53 ! [V_y_2,V_x_2,V_b_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__inject__exp,axiom, % 5.43/5.53 ! [V_n_2,V_ma_2,V_aa_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_aa_2) % 5.43/5.53 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_ma_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_aa_2),V_n_2) % 5.43/5.53 <=> V_ma_2 = V_n_2 ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__less__imp__less__neg,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__less__imp__less,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__negative__imp__negative,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_less__imp__inverse__less__neg,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_less__imp__inverse__less,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_b),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_negative__imp__inverse__negative,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__positive__imp__positive,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_positive__imp__inverse__positive,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__negative__iff__negative,axiom, % 5.43/5.53 ! [V_aa_2,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__positive__iff__positive,axiom, % 5.43/5.53 ! [V_aa_2,T_a] : % 5.43/5.53 ( class_Fields_Olinordered__field__inverse__zero(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_aa_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_nonzero__inverse__mult__distrib,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__eq__zero,axiom, % 5.43/5.53 ! [V_x_2,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.53 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.53 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__zero,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.53 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__add,axiom, % 5.43/5.53 ! [V_n,V_m,V_a,T_a] : % 5.43/5.53 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.53 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__unique,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Oone__class_Oone(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,V_a) = V_b ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_nonzero__power__inverse,axiom, % 5.43/5.53 ! [V_n,V_a,T_a] : % 5.43/5.53 ( class_Rings_Odivision__ring(T_a) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => c_Rings_Oinverse__class_Oinverse(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),V_n) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__add__less,axiom, % 5.43/5.53 ! [V_s,V_y,V_r,V_x,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) % 5.43/5.53 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,V_s)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__mult,axiom, % 5.43/5.53 ! [V_y,V_x,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.43/5.53 => c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),c_RealVector_Onorm__class_Onorm(T_a,V_y)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__not__less__zero,axiom, % 5.43/5.53 ! [V_x,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.53 => ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__power,axiom, % 5.43/5.53 ! [V_n,V_x,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.43/5.53 => c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,V_x)),V_n) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__inverse,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.43/5.53 & class_Rings_Odivision__ring__inverse__zero(T_a) ) % 5.43/5.53 => c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) = c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_zero__less__two,axiom, % 5.43/5.53 ! [T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__strict__decreasing,axiom, % 5.43/5.53 ! [V_a,V_N,V_n,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__less__power__Suc,axiom, % 5.43/5.53 ! [V_n,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_power__gt1__lemma,axiom, % 5.43/5.53 ! [V_n,V_a,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__semidom(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_inverse__add,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Fields_Ofield(T_a) % 5.43/5.53 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 => c_Groups_Oplus__class_Oplus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Rings_Oinverse__class_Oinverse(T_a,V_a))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_Bseq__inverse__lemma,axiom, % 5.43/5.53 ! [V_x,V_r,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_r,c_RealVector_Onorm__class_Onorm(T_a,V_x)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_x)),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_r)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_norm__ratiotest__lemma,axiom, % 5.43/5.53 ! [V_y,V_x,V_c,T_a] : % 5.43/5.53 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_RealVector_Onorm__class_Onorm(T_a,V_y))) % 5.43/5.53 => V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__mult__le__cancel__iff2,axiom, % 5.43/5.53 ! [V_y_2,V_x_2,V_z_2] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z_2),V_y_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__mult__le__cancel__iff1,axiom, % 5.43/5.53 ! [V_y_2,V_x_2,V_z_2] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_m_I2_J,axiom, % 5.43/5.53 ! [B_z] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),v_m____) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_sum__squares__gt__zero__iff,axiom, % 5.43/5.53 ! [V_y_2,V_x_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))) % 5.43/5.53 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_not__sum__squares__lt__zero,axiom, % 5.43/5.53 ! [V_y,V_x,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring(T_a) % 5.43/5.53 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)),c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_sum__squares__le__zero__iff,axiom, % 5.43/5.53 ! [V_y_2,V_x_2,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.53 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_sum__squares__ge__zero,axiom, % 5.43/5.53 ! [V_y,V_x,T_a] : % 5.43/5.53 ( class_Rings_Olinordered__ring(T_a) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__nonpos__neg,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__neg__nonpos,axiom, % 5.43/5.53 ! [V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__strict__increasing2,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 5.43/5.53 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_assms,axiom, % 5.43/5.53 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p)) ). % 5.43/5.53 % 5.43/5.53 fof(fact_le__Suc__ex__iff,axiom, % 5.43/5.53 ! [V_l_2,V_ka_2] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_l_2) % 5.43/5.53 <=> ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,B_n) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_zero__reorient,axiom, % 5.43/5.53 ! [V_x_2,T_a] : % 5.43/5.53 ( class_Groups_Ozero(T_a) % 5.43/5.53 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 % 5.43/5.53 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oab__semigroup__mult(T_a) % 5.43/5.53 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oab__semigroup__add(T_a) % 5.43/5.53 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__left__cancel,axiom, % 5.43/5.53 ! [V_ca_2,V_b_2,V_aa_2,T_a] : % 5.43/5.53 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.43/5.53 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2) % 5.43/5.53 <=> V_b_2 = V_ca_2 ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__right__cancel,axiom, % 5.43/5.53 ! [V_ca_2,V_aa_2,V_b_2,T_a] : % 5.43/5.53 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.43/5.53 => ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2) = c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2) % 5.43/5.53 <=> V_b_2 = V_ca_2 ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__left__imp__eq,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.43/5.53 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) % 5.43/5.53 => V_b = V_c ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__imp__eq,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Ocancel__ab__semigroup__add(T_a) % 5.43/5.53 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) % 5.43/5.53 => V_b = V_c ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__right__imp__eq,axiom, % 5.43/5.53 ! [V_c,V_a,V_b,T_a] : % 5.43/5.53 ( class_Groups_Ocancel__semigroup__add(T_a) % 5.43/5.53 => ( c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) % 5.43/5.53 => V_b = V_c ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_one__reorient,axiom, % 5.43/5.53 ! [V_x_2,T_a] : % 5.43/5.53 ( class_Groups_Oone(T_a) % 5.43/5.53 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2 % 5.43/5.53 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__le__antisym,axiom, % 5.43/5.53 ! [V_w,V_z] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) % 5.43/5.53 => V_z = V_w ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__le__trans,axiom, % 5.43/5.53 ! [V_k,V_j,V_i] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__add__left__mono,axiom, % 5.43/5.53 ! [V_z,V_y,V_x] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_x),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z,V_y)) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__le__linear,axiom, % 5.43/5.53 ! [V_w,V_z] : % 5.43/5.53 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) % 5.43/5.53 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__le__refl,axiom, % 5.43/5.53 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__zero__not__eq__one,axiom, % 5.43/5.53 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__mult__commute,axiom, % 5.43/5.53 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__mult__assoc,axiom, % 5.43/5.53 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_z3)) ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__mult__1,axiom, % 5.43/5.53 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z ). % 5.43/5.53 % 5.43/5.53 fof(fact_real__add__mult__distrib,axiom, % 5.43/5.53 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z2),V_w)) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__0__left,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Groups_Omonoid__add(T_a) % 5.43/5.53 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__0,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Groups_Ocomm__monoid__add(T_a) % 5.43/5.53 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_double__zero__sym,axiom, % 5.43/5.53 ! [V_aa_2,T_a] : % 5.43/5.53 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.53 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) % 5.43/5.53 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__0__right,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Groups_Omonoid__add(T_a) % 5.43/5.53 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add_Ocomm__neutral,axiom, % 5.43/5.53 ! [V_a,T_a] : % 5.43/5.53 ( class_Groups_Ocomm__monoid__add(T_a) % 5.43/5.53 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__le__cancel__right,axiom, % 5.43/5.53 ! [V_b_2,V_ca_2,V_aa_2,T_a] : % 5.43/5.53 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__le__cancel__left,axiom, % 5.43/5.53 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.53 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) % 5.43/5.53 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__right__mono,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__left__mono,axiom, % 5.43/5.53 ! [V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__mono,axiom, % 5.43/5.53 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.53 ( class_Groups_Oordered__ab__semigroup__add(T_a) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.53 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.43/5.53 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.43/5.53 % 5.43/5.53 fof(fact_add__le__imp__le__right,axiom, % 5.43/5.53 ! [V_b,V_c,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__le__imp__le__left,axiom, % 5.43/5.54 ! [V_b,V_a,V_c,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__less__cancel__right,axiom, % 5.43/5.54 ! [V_b_2,V_ca_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__less__cancel__left,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_aa_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__strict__right__mono,axiom, % 5.43/5.54 ! [V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__strict__left__mono,axiom, % 5.43/5.54 ! [V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__strict__mono,axiom, % 5.43/5.54 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__less__imp__less__right,axiom, % 5.43/5.54 ! [V_b,V_c,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__less__imp__less__left,axiom, % 5.43/5.54 ! [V_b,V_a,V_c,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_a),c_Groups_Oplus__class_Oplus(T_a,V_c,V_b)) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__1__left,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__1,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ocomm__monoid__mult(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__1__right,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult_Ocomm__neutral,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ocomm__monoid__mult(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__less__def,axiom, % 5.43/5.54 ! [V_y_2,V_x_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.43/5.54 & V_x_2 != V_y_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__eq__real__def,axiom, % 5.43/5.54 ! [V_y_2,V_x_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.43/5.54 | V_x_2 = V_y_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__mult__right__cancel,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,V_ca_2] : % 5.43/5.54 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.54 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_aa_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2) % 5.43/5.54 <=> V_aa_2 = V_b_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__mult__left__cancel,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,V_ca_2] : % 5.43/5.54 ( V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.54 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2) % 5.43/5.54 <=> V_aa_2 = V_b_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__two__squares__add__zero__iff,axiom, % 5.43/5.54 ! [V_y_2,V_x_2] : % 5.43/5.54 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.54 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.54 & V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_INVERSE__ZERO,axiom, % 5.43/5.54 c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ). % 5.43/5.54 % 5.43/5.54 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__nonneg__nonneg,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__nonneg__eq__0__iff,axiom, % 5.43/5.54 ! [V_y_2,V_x_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2) % 5.43/5.54 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__increasing,axiom, % 5.43/5.54 ! [V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__increasing2,axiom, % 5.43/5.54 ! [V_a,V_b,V_c,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__nonpos__nonpos,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__pos__pos,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__neg__neg,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Ozero__class_Ozero(T_a)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__less__le__mono,axiom, % 5.43/5.54 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__le__less__mono,axiom, % 5.43/5.54 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_sum__squares__eq__zero__iff,axiom, % 5.43/5.54 ! [V_y_2,V_x_2,T_a] : % 5.43/5.54 ( class_Rings_Olinordered__ring__strict(T_a) % 5.43/5.54 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__mult__less__iff1,axiom, % 5.43/5.54 ! [V_y_2,V_x_2,V_z_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_y_2),V_z_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__mult__order,axiom, % 5.43/5.54 ! [V_y,V_x] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__mult__less__mono2,axiom, % 5.43/5.54 ! [V_y,V_x,V_z] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_y)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__mult__inverse__left,axiom, % 5.43/5.54 ! [V_x] : % 5.43/5.54 ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,V_x)),V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__pos__nonneg,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__nonneg__pos,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__strict__increasing,axiom, % 5.43/5.54 ! [V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__comm__monoid__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 5.43/5.54 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 5.43/5.54 ~ ! [B_w] : c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_w),v_k____)),v_a____)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.54 % 5.43/5.54 fof(fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096,axiom, % 5.43/5.54 ? [B_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m) % 5.43/5.54 & ! [B_z] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),B_m) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096,axiom, % 5.43/5.54 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____)),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) = c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_wm1,axiom, % 5.43/5.54 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),v_w____),v_k____)),v_a____) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le0,axiom, % 5.43/5.54 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__zeroE,axiom, % 5.43/5.54 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__le__cancel1,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__le__cancel2,axiom, % 5.43/5.54 ! [V_n_2,V_ka_2,V_ma_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2)) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less_Oprems,axiom, % 5.43/5.54 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__0,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__def,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_ab__diff__minus,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oab__group__add(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__minus__eq__add,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__eq__diff__eq,axiom, % 5.43/5.54 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oab__group__add(T_a) % 5.43/5.54 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 5.43/5.54 => ( V_aa_2 = V_b_2 % 5.43/5.54 <=> V_ca_2 = V_d_2 ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__equal__iff__equal,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 5.43/5.54 <=> V_aa_2 = V_b_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__equation__iff,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_b_2 % 5.43/5.54 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = V_aa_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_equation__minus__iff,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 5.43/5.54 <=> V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__diff__eq,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oab__group__add(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_Groups_Ominus__class_Ominus(T_a,V_b,V_a) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__minus,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_constant__def,axiom, % 5.43/5.54 ! [V_f_2,T_b,T_a] : % 5.43/5.54 ( c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(T_a,T_b,V_f_2) % 5.43/5.54 <=> ! [B_x,B_y] : hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_norm__triangle__ineq2,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_right__minus__eq,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 <=> V_aa_2 = V_b_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_eq__iff__diff__eq__0,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oab__group__add(T_a) % 5.43/5.54 => ( V_aa_2 = V_b_2 % 5.43/5.54 <=> c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__self,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__0__right,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__eq__diff__less__eq,axiom, % 5.43/5.54 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__equal__zero,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = V_aa_2 % 5.43/5.54 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__equal__0__iff__equal,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_equal__neg__zero,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) % 5.43/5.54 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__0__equal__iff__equal,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2) % 5.43/5.54 <=> c_Groups_Ozero__class_Ozero(T_a) = V_aa_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__zero,axiom, % 5.43/5.54 ! [T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__eq__diff__less,axiom, % 5.43/5.54 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__minus__iff,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__le__iff,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__le__iff__le,axiom, % 5.43/5.54 ! [V_aa_2,V_b_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__imp__neg__le,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b),c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__less__iff__less,axiom, % 5.43/5.54 ! [V_aa_2,V_b_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__less__iff,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_b_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__minus__iff,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__left_Odiff,axiom, % 5.43/5.54 ! [V_ya,V_y,V_x,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),V_ya) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_ya),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_ya)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult_Odiff__left,axiom, % 5.43/5.54 ! [V_b,V_a_H,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a,V_a_H)),V_b) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__right_Odiff,axiom, % 5.43/5.54 ! [V_y,V_x,V_xa,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_y)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult_Odiff__right,axiom, % 5.43/5.54 ! [V_b_H,V_b,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_b,V_b_H)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b_H)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__diff__cancel,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__add__cancel,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) = V_a ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_square__eq__iff,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Oidom(T_a) % 5.43/5.54 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2) % 5.43/5.54 <=> ( V_aa_2 = V_b_2 % 5.43/5.54 | V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__mult__minus,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Rings_Oring(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__mult__commute,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Rings_Oring(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__left_Ominus,axiom, % 5.43/5.54 ! [V_y,V_x,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_x)),V_y) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult_Ominus__left,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__right_Ominus,axiom, % 5.43/5.54 ! [V_x,V_xa,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),V_x)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult_Ominus__right,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__mult__left,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Rings_Oring(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__mult__right,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Rings_Oring(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__add__cancel,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = V_b ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__minus__cancel,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b)) = V_b ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__add,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b),c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__add__distrib,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Oab__group__add(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_norm__minus__commute,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.54 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) = c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_norm__minus__cancel,axiom, % 5.43/5.54 ! [V_x,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.54 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_RealVector_Onorm__class_Onorm(T_a,V_x) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_inverse__minus__eq,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Rings_Odivision__ring__inverse__zero(T_a) % 5.43/5.54 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__iff__diff__le__0,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,V_b_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__iff__diff__less__0,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,V_b_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__0__le__iff__le,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__minus__self__iff,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__le__0__iff__le,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__le__self__iff,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__minus__self__iff,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__less__nonneg,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),V_aa_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__less__0__iff__less,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neg__0__less__iff__less,axiom, % 5.43/5.54 ! [V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Oordered__ab__group__add(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_aa_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__unique,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__eq__0__iff,axiom, % 5.43/5.54 ! [V_y_2,V_x_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_ab__left__minus,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Oab__group__add(T_a) % 5.43/5.54 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_left__minus,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_eq__neg__iff__add__eq__0,axiom, % 5.43/5.54 ! [V_b_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => ( V_aa_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) % 5.43/5.54 <=> c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_right__minus,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Groups_Ogroup__add(T_a) % 5.43/5.54 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_eq__add__iff1,axiom, % 5.43/5.54 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Oring(T_a) % 5.43/5.54 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2) % 5.43/5.54 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2) = V_d_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_eq__add__iff2,axiom, % 5.43/5.54 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Oring(T_a) % 5.43/5.54 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2) % 5.43/5.54 <=> V_ca_2 = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult_Oprod__diff__prod,axiom, % 5.43/5.54 ! [V_b,V_a,V_y,V_x,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b))) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__diff__mult,axiom, % 5.43/5.54 ! [V_b,V_a,V_y,V_x,T_a] : % 5.43/5.54 ( class_Rings_Oring(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Ominus__class_Ominus(T_a,V_y,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_a)),V_b)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_square__eq__1__iff,axiom, % 5.43/5.54 ! [V_x_2,T_a] : % 5.43/5.54 ( class_Rings_Oring__1__no__zero__divisors(T_a) % 5.43/5.54 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a) % 5.43/5.54 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a) % 5.43/5.54 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nonzero__inverse__minus__eq,axiom, % 5.43/5.54 ! [V_a,T_a] : % 5.43/5.54 ( class_Rings_Odivision__ring(T_a) % 5.43/5.54 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 => c_Rings_Oinverse__class_Oinverse(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__add__iff1,axiom, % 5.43/5.54 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Oordered__ring(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__add__iff2,axiom, % 5.43/5.54 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Oordered__ring(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__add__iff1,axiom, % 5.43/5.54 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Oordered__ring(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_aa_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__add__iff2,axiom, % 5.43/5.54 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_a] : % 5.43/5.54 ( class_Rings_Oordered__ring(T_a) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_aa_2)),V_e_2),V_d_2)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__squared__diff__one__factored,axiom, % 5.43/5.54 ! [V_x,T_a] : % 5.43/5.54 ( class_Rings_Oring__1(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x),c_Groups_Oone__class_Oone(T_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))),c_Groups_Ominus__class_Ominus(T_a,V_x,c_Groups_Oone__class_Oone(T_a))) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_division__ring__inverse__diff,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Rings_Odivision__ring(T_a) % 5.43/5.54 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_power__minus,axiom, % 5.43/5.54 ! [V_n,V_a,T_a] : % 5.43/5.54 ( class_Rings_Oring__1(T_a) % 5.43/5.54 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_norm__triangle__ineq4,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__less__cases,axiom, % 5.43/5.54 ! [V_P_2,V_n_2,V_ma_2] : % 5.43/5.54 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.43/5.54 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 5.43/5.54 => ( ( V_ma_2 = V_n_2 % 5.43/5.54 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 5.43/5.54 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 5.43/5.54 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) % 5.43/5.54 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__not__refl3,axiom, % 5.43/5.54 ! [V_t,V_s] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t) % 5.43/5.54 => V_s != V_t ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__not__refl2,axiom, % 5.43/5.54 ! [V_m,V_n] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m) % 5.43/5.54 => V_m != V_n ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__irrefl__nat,axiom, % 5.43/5.54 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ). % 5.43/5.54 % 5.43/5.54 fof(fact_linorder__neqE__nat,axiom, % 5.43/5.54 ! [V_y,V_x] : % 5.43/5.54 ( V_x != V_y % 5.43/5.54 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__neq__iff,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( V_ma_2 != V_n_2 % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.43/5.54 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__not__refl,axiom, % 5.43/5.54 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__add__right__cancel,axiom, % 5.43/5.54 ! [V_n_2,V_ka_2,V_ma_2] : % 5.43/5.54 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_ka_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_ka_2) % 5.43/5.54 <=> V_ma_2 = V_n_2 ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__add__left__cancel,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2) % 5.43/5.54 <=> V_ma_2 = V_n_2 ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__add__assoc,axiom, % 5.43/5.54 ! [V_k,V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__add__left__commute,axiom, % 5.43/5.54 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_x,V_z)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__add__commute,axiom, % 5.43/5.54 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__antisym,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.43/5.54 => V_m = V_n ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__trans,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_eq__imp__le,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( V_m = V_n % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__le__linear,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__refl,axiom, % 5.43/5.54 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__assoc,axiom, % 5.43/5.54 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__commute,axiom, % 5.43/5.54 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ). % 5.43/5.54 % 5.43/5.54 fof(fact_norm__diff__triangle__ineq,axiom, % 5.43/5.54 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.54 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_not__less0,axiom, % 5.43/5.54 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_neq0__conv,axiom, % 5.43/5.54 ! [V_n_2] : % 5.43/5.54 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__nat__zero__code,axiom, % 5.43/5.54 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_gr__implies__not0,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_gr0I,axiom, % 5.43/5.54 ! [V_n] : % 5.43/5.54 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__eq__self__zero,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m % 5.43/5.54 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__is__0,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_Nat_Oadd__0__right,axiom, % 5.43/5.54 ! [V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 5.43/5.54 % 5.43/5.54 fof(fact_plus__nat_Oadd__0,axiom, % 5.43/5.54 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__eq__nat_Osimps_I1_J,axiom, % 5.43/5.54 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__0__eq,axiom, % 5.43/5.54 ! [V_n_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 5.43/5.54 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__0,axiom, % 5.43/5.54 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__0__right,axiom, % 5.43/5.54 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__is__0,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__eq__cancel__disj,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2) % 5.43/5.54 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 | V_ma_2 = V_n_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__cancel1,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2) % 5.43/5.54 <=> ( V_ma_2 = V_n_2 % 5.43/5.54 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__cancel2,axiom, % 5.43/5.54 ! [V_n_2,V_ka_2,V_ma_2] : % 5.43/5.54 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2) % 5.43/5.54 <=> ( V_ma_2 = V_n_2 % 5.43/5.54 | V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__lessD1,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__add__eq__less,axiom, % 5.43/5.54 ! [V_n,V_m,V_l,V_k] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) % 5.43/5.54 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__less__mono,axiom, % 5.43/5.54 ! [V_l,V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__less__mono1,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_trans__less__add2,axiom, % 5.43/5.54 ! [V_m,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_trans__less__add1,axiom, % 5.43/5.54 ! [V_m,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__add__left__cancel__less,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_not__add__less2,axiom, % 5.43/5.54 ! [V_i,V_j] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_i) ). % 5.43/5.54 % 5.43/5.54 fof(fact_not__add__less1,axiom, % 5.43/5.54 ! [V_j,V_i] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_i) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__or__eq__imp__le,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 | V_m = V_n ) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__neq__implies__less,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => ( V_m != V_n % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__imp__le__nat,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__eq__less__or__eq,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.43/5.54 | V_ma_2 = V_n_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__less__le,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.43/5.54 & V_ma_2 != V_n_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__leE,axiom, % 5.43/5.54 ! [V_n,V_k,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 5.43/5.54 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__leD1,axiom, % 5.43/5.54 ! [V_n,V_k,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__leD2,axiom, % 5.43/5.54 ! [V_n,V_k,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__le__mono,axiom, % 5.43/5.54 ! [V_l,V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_l)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__le__mono1,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_trans__le__add2,axiom, % 5.43/5.54 ! [V_m,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_trans__le__add1,axiom, % 5.43/5.54 ! [V_m,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__add__left__cancel__le,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_n_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__iff__add,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.43/5.54 <=> ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__add1,axiom, % 5.43/5.54 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__add2,axiom, % 5.43/5.54 ! [V_m,V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_left__add__mult__distrib,axiom, % 5.43/5.54 ! [V_k,V_j,V_u,V_i] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_k)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j)),V_u),V_k) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__mult__distrib,axiom, % 5.43/5.54 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__mult__distrib2,axiom, % 5.43/5.54 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__le__mono,axiom, % 5.43/5.54 ! [V_l,V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__le__mono2,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__le__mono1,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__cube,axiom, % 5.43/5.54 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__square,axiom, % 5.43/5.54 ! [V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__eq__1__iff,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.43/5.54 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.43/5.54 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__1__right,axiom, % 5.43/5.54 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__1__eq__mult__iff,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) % 5.43/5.54 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.43/5.54 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__1,axiom, % 5.43/5.54 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ). % 5.43/5.54 % 5.43/5.54 fof(fact_add__gr__0,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2)) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 5.43/5.54 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__0__less__mult__iff,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2)) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 5.43/5.54 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__less__cancel1,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.54 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__less__cancel2,axiom, % 5.43/5.54 ! [V_n_2,V_ka_2,V_ma_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_ka_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ka_2)) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.54 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__eq__cancel1,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.54 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2) % 5.43/5.54 <=> V_ma_2 = V_n_2 ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_nat__mult__less__cancel1,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__less__mono1,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__less__mono2,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__eq__self__implies__10,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) % 5.43/5.54 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat) % 5.43/5.54 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_mult__le__cancel1,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.43/5.54 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_Deriv_Oinverse__diff__inverse,axiom, % 5.43/5.54 ! [V_b,V_a,T_a] : % 5.43/5.54 ( class_Rings_Odivision__ring(T_a) % 5.43/5.54 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(T_a,c_Rings_Oinverse__class_Oinverse(T_a,V_a),c_Rings_Oinverse__class_Oinverse(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Rings_Oinverse__class_Oinverse(T_a,V_a)),c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))),c_Rings_Oinverse__class_Oinverse(T_a,V_b))) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_complex__diff__def,axiom, % 5.43/5.54 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_x,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_y)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_reduce__poly__simple,axiom, % 5.43/5.54 ! [V_n,V_b] : % 5.43/5.54 ( V_b != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) % 5.43/5.54 => ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 => ? [B_z] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),V_b),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),V_n)))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_zero__less__power__nat__eq,axiom, % 5.43/5.54 ! [V_n_2,V_x_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)) % 5.43/5.54 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_not__real__square__gt__zero,axiom, % 5.43/5.54 ! [V_x_2] : % 5.43/5.54 ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x_2),V_x_2)) % 5.43/5.54 <=> V_x_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom, % 5.43/5.54 ! [V_q,V_p,V_x,T_a] : % 5.43/5.54 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.54 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_p,V_q)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_pc0,axiom, % 5.43/5.54 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.54 % 5.43/5.54 fof(fact_c,axiom, % 5.43/5.54 ! [B_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_w))) ). % 5.43/5.54 % 5.43/5.54 fof(fact_kn,axiom, % 5.43/5.54 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) != c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__diff__def,axiom, % 5.43/5.54 ! [V_s,V_r] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_r,V_s) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_s)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__real__def,axiom, % 5.43/5.54 ! [V_y,V_x] : c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,V_y) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__0__eq__0,axiom, % 5.43/5.54 ! [V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.54 % 5.43/5.54 fof(fact_minus__nat_Odiff__0,axiom, % 5.43/5.54 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__self__eq__0,axiom, % 5.43/5.54 ! [V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diffs0__imp__equal,axiom, % 5.43/5.54 ! [V_n,V_m] : % 5.43/5.54 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.54 => V_m = V_n ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__less__mono2,axiom, % 5.43/5.54 ! [V_l,V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_less__imp__diff__less,axiom, % 5.43/5.54 ! [V_n,V_k,V_j] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__cancel2,axiom, % 5.43/5.54 ! [V_n,V_k,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__cancel,axiom, % 5.43/5.54 ! [V_n,V_m,V_k] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__diff__left,axiom, % 5.43/5.54 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__add__inverse,axiom, % 5.43/5.54 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_n) = V_m ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__add__inverse2,axiom, % 5.43/5.54 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ). % 5.43/5.54 % 5.43/5.54 fof(fact_le__diff__iff,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_Nat_Odiff__diff__eq,axiom, % 5.43/5.54 ! [V_n,V_m,V_k] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_eq__diff__iff,axiom, % 5.43/5.54 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2) % 5.43/5.54 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2) % 5.43/5.54 <=> V_ma_2 = V_n_2 ) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__diff__cancel,axiom, % 5.43/5.54 ! [V_n,V_i] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n) % 5.43/5.54 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__le__mono,axiom, % 5.43/5.54 ! [V_l,V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_l),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_l)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__le__mono2,axiom, % 5.43/5.54 ! [V_l,V_n,V_m] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.54 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_n),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_l,V_m)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__le__self,axiom, % 5.43/5.54 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__mult__distrib,axiom, % 5.43/5.54 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__mult__distrib2,axiom, % 5.43/5.54 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_complex__mod__minus__le__complex__mod,axiom, % 5.43/5.54 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_x)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__le__eq__diff,axiom, % 5.43/5.54 ! [V_y_2,V_x_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__less,axiom, % 5.43/5.54 ! [V_m,V_n] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.43/5.54 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) % 5.43/5.54 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) ) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_zero__less__diff,axiom, % 5.43/5.54 ! [V_ma_2,V_n_2] : % 5.43/5.54 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ma_2)) % 5.43/5.54 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.43/5.54 % 5.43/5.54 fof(fact_real__minus__mult__self__le,axiom, % 5.43/5.54 ! [V_x,V_u] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_u),V_u)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_x)) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__add__0,axiom, % 5.43/5.54 ! [V_m,V_n] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.54 % 5.43/5.54 fof(fact_diff__is__0__eq,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2] : % 5.43/5.55 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__is__0__eq_H,axiom, % 5.43/5.55 ! [V_n,V_m] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__diff__inverse,axiom, % 5.43/5.55 ! [V_n,V_m] : % 5.43/5.55 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_less__diff__conv,axiom, % 5.43/5.55 ! [V_ka_2,V_j_2,V_i_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2),V_j_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__less__mono,axiom, % 5.43/5.55 ! [V_c,V_b,V_a] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a) % 5.43/5.55 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a,V_c),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_b,V_c)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_less__diff__iff,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_ma_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_n_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_ka_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_ka_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_real__add__minus__iff,axiom, % 5.43/5.55 ! [V_aa_2,V_x_2] : % 5.43/5.55 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_aa_2)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.55 <=> V_x_2 = V_aa_2 ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_real__add__eq__0__iff,axiom, % 5.43/5.55 ! [V_y_2,V_x_2] : % 5.43/5.55 ( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.55 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__diff__right,axiom, % 5.43/5.55 ! [V_i,V_j,V_k] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__diff__conv,axiom, % 5.43/5.55 ! [V_i_2,V_ka_2,V_j_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2),V_i_2) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__add__diff,axiom, % 5.43/5.55 ! [V_m,V_n,V_k] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m),V_k)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__add__diff__inverse,axiom, % 5.43/5.55 ! [V_m,V_n] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__diff__assoc,axiom, % 5.43/5.55 ! [V_i,V_j,V_k] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__diff__conv2,axiom, % 5.43/5.55 ! [V_i_2,V_j_2,V_ka_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ka_2,V_j_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_ka_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_ka_2),V_j_2) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__add__diff__inverse2,axiom, % 5.43/5.55 ! [V_m,V_n] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__imp__diff__is__add,axiom, % 5.43/5.55 ! [V_ka_2,V_j_2,V_i_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.43/5.55 => ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_ka_2 % 5.43/5.55 <=> V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ka_2,V_i_2) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__add__assoc,axiom, % 5.43/5.55 ! [V_i,V_j,V_k] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__diff__assoc2,axiom, % 5.43/5.55 ! [V_i,V_j,V_k] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__add__assoc2,axiom, % 5.43/5.55 ! [V_i,V_j,V_k] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_i),V_k) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k),V_i) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_complex__mod__triangle__ineq2,axiom, % 5.43/5.55 ! [V_a,V_b] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_b,V_a)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_b)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_a)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_norm__diff__ineq,axiom, % 5.43/5.55 ! [V_b,V_a,T_a] : % 5.43/5.55 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b)),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__diff__split,axiom, % 5.43/5.55 ! [V_b_2,V_aa_2,V_P_2] : % 5.43/5.55 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2))) % 5.43/5.55 <=> ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2) % 5.43/5.55 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 5.43/5.55 & ! [B_d] : % 5.43/5.55 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) % 5.43/5.55 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__diff__split__asm,axiom, % 5.43/5.55 ! [V_b_2,V_aa_2,V_P_2] : % 5.43/5.55 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_aa_2,V_b_2))) % 5.43/5.55 <=> ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_aa_2,V_b_2) % 5.43/5.55 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) % 5.43/5.55 | ? [B_d] : % 5.43/5.55 ( V_aa_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) % 5.43/5.55 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_real__add__le__0__iff,axiom, % 5.43/5.55 ! [V_y_2,V_x_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_real__0__le__add__iff,axiom, % 5.43/5.55 ! [V_y_2,V_x_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_real__0__less__add__iff,axiom, % 5.43/5.55 ! [V_y_2,V_x_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_real__add__less__0__iff,axiom, % 5.43/5.55 ! [V_y_2,V_x_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__eq__add__iff2,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.43/5.55 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2) % 5.43/5.55 <=> V_ma_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__diff__add__eq2,axiom, % 5.43/5.55 ! [V_n,V_m,V_u,V_j,V_i] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_i)),V_u),V_n)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__le__add__iff2,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__eq__add__iff1,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 5.43/5.55 => ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2) % 5.43/5.55 <=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2) = V_n_2 ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__diff__add__eq1,axiom, % 5.43/5.55 ! [V_n,V_m,V_u,V_i,V_j] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u),V_m),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u),V_n)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j)),V_u),V_m),V_n) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__le__add__iff1,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_n_2) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom, % 5.43/5.55 ! [V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom, % 5.43/5.55 ! [V_ry,V_rx,V_lx,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom, % 5.43/5.55 ! [V_ry,V_rx,V_lx,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom, % 5.43/5.55 ! [V_rx,V_ly,V_lx,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom, % 5.43/5.55 ! [V_rx,V_ly,V_lx,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom, % 5.43/5.55 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom, % 5.43/5.55 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom, % 5.43/5.55 ! [V_ry,V_rx,V_ly,V_lx,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom, % 5.43/5.55 ! [V_c,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom, % 5.43/5.55 ! [V_d,V_c,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,V_c,c_Groups_Oplus__class_Oplus(T_a,V_a,V_d)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom, % 5.43/5.55 ! [V_d,V_c,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_d) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),V_b) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom, % 5.43/5.55 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__less__add__iff2,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2)),V_u_2),V_n_2)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_nat__less__add__iff1,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2),V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2),V_n_2)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i_2,V_j_2)),V_u_2),V_ma_2),V_n_2) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__eq__if,axiom, % 5.43/5.55 ! [V_n,V_m] : % 5.43/5.55 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 5.43/5.55 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_power__eq__if,axiom, % 5.43/5.55 ! [V_p,V_m] : % 5.43/5.55 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) % 5.43/5.55 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_realpow__num__eq__if,axiom, % 5.43/5.55 ! [V_m,V_n,T_a] : % 5.43/5.55 ( class_Power_Opower(T_a) % 5.43/5.55 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) ) % 5.43/5.55 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_realpow__minus__mult,axiom, % 5.43/5.55 ! [V_x,V_n,T_a] : % 5.43/5.55 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__0__iff,axiom, % 5.43/5.55 ! [V_aa_2,V_b_2,T_a] : % 5.43/5.55 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.43/5.55 => ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_aa_2) % 5.43/5.55 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom, % 5.43/5.55 ! [V_z,V_y,V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_crossproduct__noteq,axiom, % 5.43/5.55 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_a] : % 5.43/5.55 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.43/5.55 => ( ( V_aa_2 != V_b_2 % 5.43/5.55 & V_ca_2 != V_d_2 ) % 5.43/5.55 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom, % 5.43/5.55 ! [V_b,V_m,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_crossproduct__eq,axiom, % 5.43/5.55 ! [V_z_2,V_x_2,V_y_2,V_wa_2,T_a] : % 5.43/5.55 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.43/5.55 => ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_wa_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_wa_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2)) % 5.43/5.55 <=> ( V_wa_2 = V_x_2 % 5.43/5.55 | V_y_2 = V_z_2 ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_Deriv_Oadd__diff__add,axiom, % 5.43/5.55 ! [V_d,V_b,V_c,V_a,T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c),c_Groups_Oplus__class_Oplus(T_a,V_b,V_d)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(T_a,V_c,V_d)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom, % 5.43/5.55 ! [V_q,V_y,V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom, % 5.43/5.55 ! [V_q,V_p,V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom, % 5.43/5.55 ! [V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__scale__eq__noteq,axiom, % 5.43/5.55 ! [V_d,V_c,V_b,V_a,V_r,T_a] : % 5.43/5.55 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) % 5.43/5.55 => ( V_r != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.55 => ( ( V_a = V_b % 5.43/5.55 & V_c != V_d ) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom, % 5.43/5.55 ! [V_m,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,V_m,V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom, % 5.43/5.55 ! [V_a,V_m,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,V_m,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom, % 5.43/5.55 ! [V_m,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oone__class_Oone(T_a))),V_m) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom, % 5.43/5.55 ! [V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring__1(T_a) % 5.43/5.55 => c_Groups_Ouminus__class_Ouminus(T_a,V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a))),V_x) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring__1(T_a) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(T_a,V_x,V_y) = c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom, % 5.43/5.55 ! [V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_k1n,axiom, % 5.43/5.55 c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_even__less__0__iff,axiom, % 5.43/5.55 ! [V_aa_2,T_a] : % 5.43/5.55 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 5.43/5.55 ~ ! [B_m] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m) % 5.43/5.55 => ~ ! [B_z] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_s____),B_z)),B_m) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_cq0,axiom, % 5.43/5.55 ! [B_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_w))) ). % 5.43/5.55 % 5.43/5.55 fof(fact_q_I1_J,axiom, % 5.43/5.55 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) ). % 5.43/5.55 % 5.43/5.55 fof(fact_a00,axiom, % 5.43/5.55 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.55 % 5.43/5.55 fof(fact_q_I2_J,axiom, % 5.43/5.55 ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_qnc,axiom, % 5.43/5.55 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,axiom, % 5.43/5.55 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_pqc0,axiom, % 5.43/5.55 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_kas_I3_J,axiom, % 5.43/5.55 c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_s____),v_k____),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__commute,axiom, % 5.43/5.55 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_k),V_j) ). % 5.43/5.55 % 5.43/5.55 fof(fact_psize__eq__0__iff,axiom, % 5.43/5.55 ! [V_pb_2,T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(T_a,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zpower__zadd__distrib,axiom, % 5.43/5.55 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zpower__zpower,axiom, % 5.43/5.55 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_double__eq__0__iff,axiom, % 5.43/5.55 ! [V_aa_2,T_a] : % 5.43/5.55 ( class_Groups_Olinordered__ab__group__add(T_a) % 5.43/5.55 => ( c_Groups_Oplus__class_Oplus(T_a,V_aa_2,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.55 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_less_Ohyps,axiom, % 5.43/5.55 ! [V_pb_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,V_pb_2),c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____)) % 5.43/5.55 => ( ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2)) % 5.43/5.55 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_pb_2),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096,axiom, % 5.43/5.55 ? [B_q] : % 5.43/5.55 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) % 5.43/5.55 & ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,axiom, % 5.43/5.55 ( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),v_c____) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) % 5.43/5.55 => ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_qr,axiom, % 5.43/5.55 ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),B_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096,axiom, % 5.43/5.55 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))) ). % 5.43/5.55 % 5.43/5.55 fof(fact_r01,axiom, % 5.43/5.55 hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ). % 5.43/5.55 % 5.43/5.55 fof(fact_lgqr,axiom, % 5.43/5.55 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_q____) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_rnc,axiom, % 5.43/5.55 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____))) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mrmq__eq,axiom, % 5.43/5.55 ! [V_wa_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),V_wa_2)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),V_wa_2)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_kas_I4_J,axiom, % 5.43/5.55 ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),v_k____)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,v_a____,v_s____)),B_z))) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zdiff__zmult__distrib2,axiom, % 5.43/5.55 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zmult__zminus,axiom, % 5.43/5.55 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)),V_w) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zdiff__zmult__distrib,axiom, % 5.43/5.55 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zmult__1,axiom, % 5.43/5.55 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ). % 5.43/5.55 % 5.43/5.55 fof(fact_zmult__1__right,axiom, % 5.43/5.55 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ). % 5.43/5.55 % 5.43/5.55 fof(fact_zmult__commute,axiom, % 5.43/5.55 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__zmult__distrib2,axiom, % 5.43/5.55 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zmult__assoc,axiom, % 5.43/5.55 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__zmult__distrib,axiom, % 5.43/5.55 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_pos__zmult__eq__1__iff,axiom, % 5.43/5.55 ! [V_n_2,V_ma_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2) % 5.43/5.55 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint) % 5.43/5.55 <=> ( V_ma_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) % 5.43/5.55 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zmult__zless__mono2,axiom, % 5.43/5.55 ! [V_k,V_j,V_i] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k) % 5.43/5.55 => c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_calculation,axiom, % 5.43/5.55 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 5.43/5.55 => ? [B_w] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_w)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096_I_B_Bx_Ay_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ax_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ay_J_061_061_062_AFalse_096,axiom, % 5.43/5.55 ~ ! [B_x,B_y] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_y) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__smult,axiom, % 5.43/5.55 ! [V_x,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Osmult(T_a,V_a,V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_less__bin__lemma,axiom, % 5.43/5.55 ! [V_l_2,V_ka_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_ka_2,V_l_2) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_ka_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__zminus__inverse2,axiom, % 5.43/5.55 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zminus__0,axiom, % 5.43/5.55 c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 5.43/5.55 % 5.43/5.55 fof(fact_int__0__neq__1,axiom, % 5.43/5.55 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ). % 5.43/5.55 % 5.43/5.55 fof(fact_odd__nonzero,axiom, % 5.43/5.55 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ). % 5.43/5.55 % 5.43/5.55 fof(fact_int__0__less__1,axiom, % 5.43/5.55 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__0,axiom, % 5.43/5.55 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z ). % 5.43/5.55 % 5.43/5.55 fof(fact_int__one__le__iff__zero__less,axiom, % 5.43/5.55 ! [V_z_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__0__right,axiom, % 5.43/5.55 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ). % 5.43/5.55 % 5.43/5.55 fof(fact_odd__less__0,axiom, % 5.43/5.55 ! [V_z_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__imp__0__less,axiom, % 5.43/5.55 ! [V_z] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) % 5.43/5.55 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_synthetic__div__unique__lemma,axiom, % 5.43/5.55 ! [V_a,V_p,V_c,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => ( c_Polynomial_Osmult(T_a,V_c,V_p) = c_Polynomial_OpCons(T_a,V_a,V_p) % 5.43/5.55 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_one__poly__def,axiom, % 5.43/5.55 ! [T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_pCons__eq__0__iff,axiom, % 5.43/5.55 ! [V_pb_2,V_aa_2,T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.55 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.55 & V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_pCons__0__0,axiom, % 5.43/5.55 ! [T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__pCons__left,axiom, % 5.43/5.55 ! [V_q,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,V_a,V_p)),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_q),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__pCons,axiom, % 5.43/5.55 ! [V_p,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_OpCons(T_a,V_b,V_p)) = c_Polynomial_OpCons(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__pCons__right,axiom, % 5.43/5.55 ! [V_q,V_a,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_OpCons(T_a,V_a,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__pCons,axiom, % 5.43/5.55 ! [V_q,V_b,V_p,V_a,T_a] : % 5.43/5.55 ( class_Groups_Ocomm__monoid__add(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_pCons__eq__iff,axiom, % 5.43/5.55 ! [V_qa_2,V_b_2,V_pb_2,V_aa_2,T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => ( c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2) = c_Polynomial_OpCons(T_a,V_b_2,V_qa_2) % 5.43/5.55 <=> ( V_aa_2 = V_b_2 % 5.43/5.55 & V_pb_2 = V_qa_2 ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__zless__mono,axiom, % 5.43/5.55 ! [V_z,V_z_H,V_w,V_w_H] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z) % 5.43/5.55 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_H,V_z_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__left__mono,axiom, % 5.43/5.55 ! [V_k,V_j,V_i] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_i),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_k,V_j)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__strict__right__mono,axiom, % 5.43/5.55 ! [V_k,V_j,V_i] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) % 5.43/5.55 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_i,V_k),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_j,V_k)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zless__imp__add1__zle,axiom, % 5.43/5.55 ! [V_z,V_w] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__assoc,axiom, % 5.43/5.55 ! [V_z3,V_z2,V_z1] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2),V_z3) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z2,V_z3)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add1__zle__eq,axiom, % 5.43/5.55 ! [V_z_2,V_wa_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_wa_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__left__commute,axiom, % 5.43/5.55 ! [V_z,V_y,V_x] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,V_z)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_y,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_z)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zless__add1__eq,axiom, % 5.43/5.55 ! [V_z_2,V_wa_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 5.43/5.55 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) % 5.43/5.55 | V_wa_2 = V_z_2 ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zle__add1__eq__le,axiom, % 5.43/5.55 ! [V_z_2,V_wa_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,V_z_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zless__linear,axiom, % 5.43/5.55 ! [V_y,V_x] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y) % 5.43/5.55 | V_x = V_y % 5.43/5.55 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zless__le,axiom, % 5.43/5.55 ! [V_wa_2,V_z_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_wa_2) % 5.43/5.55 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_wa_2) % 5.43/5.55 & V_z_2 != V_wa_2 ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zadd__commute,axiom, % 5.43/5.55 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__pCons,axiom, % 5.43/5.55 ! [V_q,V_b,V_p,V_a,T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p),c_Polynomial_OpCons(T_a,V_b,V_q)) = c_Polynomial_OpCons(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_minus__poly__code_I2_J,axiom, % 5.43/5.55 ! [V_p,V_a,T_b] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_b) % 5.43/5.55 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),c_Polynomial_OpCons(T_b,V_a,V_p)) = c_Polynomial_OpCons(T_b,c_Groups_Ouminus__class_Ouminus(T_b,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_b),V_p)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_minus__pCons,axiom, % 5.43/5.55 ! [V_p,V_a,T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zminus__zminus,axiom, % 5.43/5.55 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z ). % 5.43/5.55 % 5.43/5.55 fof(fact_zle__diff1__eq,axiom, % 5.43/5.55 ! [V_z_2,V_wa_2] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_wa_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) % 5.43/5.55 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_wa_2,V_z_2) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__int__def__symmetric,axiom, % 5.43/5.55 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__int__def,axiom, % 5.43/5.55 ! [V_w,V_z] : c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z,V_w) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zminus__zadd__distrib,axiom, % 5.43/5.55 ! [V_w,V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w)) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_w)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__pCons,axiom, % 5.43/5.55 ! [V_x,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_OpCons(T_a,V_a,V_p)),V_x) = c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_offset__poly__eq__0__lemma,axiom, % 5.43/5.55 ! [V_a,V_p,V_c,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_c,V_p),c_Polynomial_OpCons(T_a,V_a,V_p)) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.55 => V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__poly__0__left,axiom, % 5.43/5.55 ! [V_q,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_q) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__poly__code_I1_J,axiom, % 5.43/5.55 ! [V_q,T_a] : % 5.43/5.55 ( class_Groups_Ocomm__monoid__add(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__poly__0__right,axiom, % 5.43/5.55 ! [V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__poly__code_I2_J,axiom, % 5.43/5.55 ! [V_p,T_a] : % 5.43/5.55 ( class_Groups_Ocomm__monoid__add(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_minus__poly__code_I1_J,axiom, % 5.43/5.55 ! [T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__poly__code_I1_J,axiom, % 5.43/5.55 ! [V_q,T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_q) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__poly__code_I2_J,axiom, % 5.43/5.55 ! [V_p,T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = V_p ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__eq__iff,axiom, % 5.43/5.55 ! [V_qa_2,V_pb_2,T_a] : % 5.43/5.55 ( ( class_Int_Oring__char__0(T_a) % 5.43/5.55 & class_Rings_Oidom(T_a) ) % 5.43/5.55 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,V_qa_2) % 5.43/5.55 <=> V_pb_2 = V_qa_2 ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__smult__right,axiom, % 5.43/5.55 ! [V_q,V_a,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__add__right,axiom, % 5.43/5.55 ! [V_q,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__smult__left,axiom, % 5.43/5.55 ! [V_q,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Osmult(T_a,V_a,V_p)),V_q) = c_Polynomial_Osmult(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__diff__right,axiom, % 5.43/5.55 ! [V_q,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_a,V_q)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__minus__right,axiom, % 5.43/5.55 ! [V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__mult,axiom, % 5.43/5.55 ! [V_x,V_q,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__add,axiom, % 5.43/5.55 ! [V_x,V_q,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Oplus__class_Oplus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__1,axiom, % 5.43/5.55 ! [V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__diff,axiom, % 5.43/5.55 ! [V_x,V_q,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) = c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__smult,axiom, % 5.43/5.55 ! [V_p,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Osmult(T_a,V_b,V_p)) = c_Polynomial_Osmult(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_p) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__minus,axiom, % 5.43/5.55 ! [V_x,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)),V_x) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__power,axiom, % 5.43/5.55 ! [V_x,V_n,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),V_p),V_n)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)),V_n) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__add__left,axiom, % 5.43/5.55 ! [V_p,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_p) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__1__left,axiom, % 5.43/5.55 ! [V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,c_Groups_Oone__class_Oone(T_a),V_p) = V_p ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__diff__left,axiom, % 5.43/5.55 ! [V_p,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_p) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),c_Polynomial_Osmult(T_a,V_b,V_p)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__minus__left,axiom, % 5.43/5.55 ! [V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_p) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__zero,axiom, % 5.43/5.55 ! [V_pb_2,T_a] : % 5.43/5.55 ( ( class_Int_Oring__char__0(T_a) % 5.43/5.55 & class_Rings_Oidom(T_a) ) % 5.43/5.55 => ( c_Polynomial_Opoly(T_a,V_pb_2) = c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) % 5.43/5.55 <=> V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__0__right,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__0,axiom, % 5.43/5.55 ! [V_x,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_x) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__0__left,axiom, % 5.43/5.55 ! [V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,c_Groups_Ozero__class_Ozero(T_a),V_p) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__eq__0__iff,axiom, % 5.43/5.55 ! [V_pb_2,V_aa_2,T_a] : % 5.43/5.55 ( class_Rings_Oidom(T_a) % 5.43/5.55 => ( c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.55 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.55 | V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_th01,axiom, % 5.43/5.55 ~ c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))) ). % 5.43/5.55 % 5.43/5.55 fof(fact_th02,axiom, % 5.43/5.55 c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))) ). % 5.43/5.55 % 5.43/5.55 fof(fact_self__quotient__aux2,axiom, % 5.43/5.55 ! [V_q,V_r,V_a] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 5.43/5.55 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__poly__add__left,axiom, % 5.43/5.55 ! [V_r,V_q,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_r) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),V_r)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_add__monom,axiom, % 5.43/5.55 ! [V_b,V_n,V_a,T_a] : % 5.43/5.55 ( class_Groups_Ocomm__monoid__add(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_n) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_monom__eq__iff,axiom, % 5.43/5.55 ! [V_b_2,V_n_2,V_aa_2,T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Polynomial_Omonom(T_a,V_b_2,V_n_2) % 5.43/5.55 <=> V_aa_2 = V_b_2 ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_diff__monom,axiom, % 5.43/5.55 ! [V_b,V_n,V_a,T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_n) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_minus__monom,axiom, % 5.43/5.55 ! [V_n,V_a,T_a] : % 5.43/5.55 ( class_Groups_Oab__group__add(T_a) % 5.43/5.55 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Polynomial_Omonom(T_a,V_a,V_n)) = c_Polynomial_Omonom(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_n) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zle__refl,axiom, % 5.43/5.55 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zle__linear,axiom, % 5.43/5.55 ! [V_w,V_z] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) % 5.43/5.55 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zle__trans,axiom, % 5.43/5.55 ! [V_k,V_j,V_i] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zle__antisym,axiom, % 5.43/5.55 ! [V_w,V_z] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) % 5.43/5.55 => V_z = V_w ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_mult__monom,axiom, % 5.43/5.55 ! [V_n,V_b,V_m,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,V_a,V_m)),c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_monom__eq__0,axiom, % 5.43/5.55 ! [V_n,T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => c_Polynomial_Omonom(T_a,c_Groups_Ozero__class_Ozero(T_a),V_n) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_monom__eq__0__iff,axiom, % 5.43/5.55 ! [V_n_2,V_aa_2,T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => ( c_Polynomial_Omonom(T_a,V_aa_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.55 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_smult__monom,axiom, % 5.43/5.55 ! [V_n,V_b,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osmult(T_a,V_a,c_Polynomial_Omonom(T_a,V_b,V_n)) = c_Polynomial_Omonom(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_n) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__monom,axiom, % 5.43/5.55 ! [V_x,V_n,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Omonom(T_a,V_a,V_n)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_monom__0,axiom, % 5.43/5.55 ! [V_a,T_a] : % 5.43/5.55 ( class_Groups_Ozero(T_a) % 5.43/5.55 => c_Polynomial_Omonom(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__replicate__append,axiom, % 5.43/5.55 ! [V_x,V_p,V_n,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring__1(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_Omonom(T_a,c_Groups_Oone__class_Oone(T_a),V_n)),V_p)),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(c_Polynomial_Opoly(T_a,V_p),V_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zdiv__mono2__neg__lemma,axiom, % 5.43/5.55 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 5.43/5.55 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_unique__quotient__lemma__neg,axiom, % 5.43/5.55 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_zdiv__mono2__lemma,axiom, % 5.43/5.55 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : % 5.43/5.55 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) ) ) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_unique__quotient__lemma,axiom, % 5.43/5.55 ! [V_r,V_q,V_r_H,V_q_H,V_b] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H),V_r_H),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_q__neg__lemma,axiom, % 5.43/5.55 ! [V_r_H,V_q_H,V_b_H] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_q__pos__lemma,axiom, % 5.43/5.55 ! [V_r_H,V_q_H,V_b_H] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H),V_r_H)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_self__quotient__aux1,axiom, % 5.43/5.55 ! [V_q,V_r,V_a] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) % 5.43/5.55 => ( V_a = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096,axiom, % 5.43/5.55 ? [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Polynomial_Omonom(tc_Complex_Ocomplex,v_a____,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))),B_z) = c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.55 % 5.43/5.55 fof(fact_synthetic__div__correct_H,axiom, % 5.43/5.55 ! [V_p,V_c,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__ring__1(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_c),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)),c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))) = V_p ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom, % 5.43/5.55 ! [V_n,V_x] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_synthetic__div__0,axiom, % 5.43/5.55 ! [V_c,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osynthetic__div(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_synthetic__div__pCons,axiom, % 5.43/5.55 ! [V_c,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Osynthetic__div(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_c) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom, % 5.43/5.55 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_synthetic__div__unique,axiom, % 5.43/5.55 ! [V_r,V_q,V_c,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,V_q)) = c_Polynomial_OpCons(T_a,V_r,V_q) % 5.43/5.55 => ( V_r = hAPP(c_Polynomial_Opoly(T_a,V_p),V_c) % 5.43/5.55 & V_q = c_Polynomial_Osynthetic__div(T_a,V_p,V_c) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_synthetic__div__correct,axiom, % 5.43/5.55 ! [V_c,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_c,c_Polynomial_Osynthetic__div(T_a,V_p,V_c))) = c_Polynomial_OpCons(T_a,hAPP(c_Polynomial_Opoly(T_a,V_p),V_c),c_Polynomial_Osynthetic__div(T_a,V_p,V_c)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom, % 5.43/5.55 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ). % 5.43/5.55 % 5.43/5.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom, % 5.43/5.55 ! [V_y,V_x] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,V_y)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom, % 5.43/5.55 ! [V_y,V_x] : % 5.43/5.55 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_pcompose__pCons,axiom, % 5.43/5.55 ! [V_q,V_p,V_a,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Opcompose(T_a,c_Polynomial_OpCons(T_a,V_a,V_p),V_q) = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_q),c_Polynomial_Opcompose(T_a,V_p,V_q))) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_unimodular__reduce__norm,axiom, % 5.43/5.55 ! [V_z] : % 5.43/5.55 ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.43/5.55 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.43/5.55 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) % 5.43/5.55 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,V_z,c_Complex_Oii)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__root,axiom, % 5.43/5.55 ! [V_aa_2,V_pb_2,T_a] : % 5.43/5.55 ( class_Rings_Oidom(T_a) % 5.43/5.55 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.55 <=> ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.55 | c_Polynomial_Oorder(T_a,V_aa_2,V_pb_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_complex__i__not__zero,axiom, % 5.43/5.55 c_Complex_Oii != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) ). % 5.43/5.55 % 5.43/5.55 fof(fact_complex__i__not__one,axiom, % 5.43/5.55 c_Complex_Oii != c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) ). % 5.43/5.55 % 5.43/5.55 fof(fact_pcompose__0,axiom, % 5.43/5.55 ! [V_q,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => c_Polynomial_Opcompose(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_poly__pcompose,axiom, % 5.43/5.55 ! [V_x,V_q,V_p,T_a] : % 5.43/5.55 ( class_Rings_Ocomm__semiring__0(T_a) % 5.43/5.55 => hAPP(c_Polynomial_Opoly(T_a,c_Polynomial_Opcompose(T_a,V_p,V_q)),V_x) = hAPP(c_Polynomial_Opoly(T_a,V_p),hAPP(c_Polynomial_Opoly(T_a,V_q),V_x)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_complex__i__mult__minus,axiom, % 5.43/5.55 ! [V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),V_x)) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,V_x) ). % 5.43/5.55 % 5.43/5.55 fof(fact_inverse__i,axiom, % 5.43/5.55 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Complex_Oii) ). % 5.43/5.55 % 5.43/5.55 fof(fact_i__mult__eq2,axiom, % 5.43/5.55 hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Complex_Oii),c_Complex_Oii) = c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)) ). % 5.43/5.55 % 5.43/5.55 fof(fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096,axiom, % 5.43/5.55 ? [B_k,B_a] : % 5.43/5.55 ( B_a != c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) % 5.43/5.55 & B_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.55 & ? [B_q] : % 5.43/5.55 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)) % 5.43/5.55 & ! [B_z] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),B_z) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_Osmult(tc_Complex_Ocomplex,c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q____),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))),v_q____)),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),B_z),B_k)),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Polynomial_OpCons(tc_Complex_Ocomplex,B_a,B_q)),B_z))) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__refl,axiom, % 5.43/5.55 ! [V_x,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_power__power__power,axiom, % 5.43/5.55 ! [T_a] : % 5.43/5.55 ( class_Power_Opower(T_a) % 5.43/5.55 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_power_Opower_Opower__0,axiom, % 5.43/5.55 ! [V_aa_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__fun__def,axiom, % 5.43/5.55 ! [V_g_2,V_f_2,T_a,T_b] : % 5.43/5.55 ( class_Orderings_Oord(T_b) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.43/5.55 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_linorder__linear,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Olinorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.55 | c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__eq__iff,axiom, % 5.43/5.55 ! [V_y_2,V_x_2,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( V_x_2 = V_y_2 % 5.43/5.55 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.55 & c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__eq__refl,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => ( V_x = V_y % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__funD,axiom, % 5.43/5.55 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 5.43/5.55 ( class_Orderings_Oord(T_b) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__antisym__conv,axiom, % 5.43/5.55 ! [V_x_2,V_y_2,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.55 <=> V_x_2 = V_y_2 ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_ord__eq__le__trans,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Orderings_Oord(T_a) % 5.43/5.55 => ( V_a = V_b % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I3_J,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( V_a = V_b % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_ord__le__eq__trans,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Orderings_Oord(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.55 => ( V_b = V_c % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I4_J,axiom, % 5.43/5.55 ! [V_c,V_a,V_b,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.43/5.55 => ( V_b = V_c % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__antisym,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.43/5.55 => V_x = V_y ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__trans,axiom, % 5.43/5.55 ! [V_z,V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I5_J,axiom, % 5.43/5.55 ! [V_x,V_y,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.55 => V_x = V_y ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I6_J,axiom, % 5.43/5.55 ! [V_z,V_x,V_y,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_le__funE,axiom, % 5.43/5.55 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : % 5.43/5.55 ( class_Orderings_Oord(T_b) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_linorder__le__cases,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Olinorder(T_a) % 5.43/5.55 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.55 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_linorder__cases,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Olinorder(T_a) % 5.43/5.55 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => ( V_x != V_y % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__less__asym,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I10_J,axiom, % 5.43/5.55 ! [V_z,V_x,V_y,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y) % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__less__trans,axiom, % 5.43/5.55 ! [V_z,V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z) % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I2_J,axiom, % 5.43/5.55 ! [V_c,V_a,V_b,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.43/5.55 => ( V_b = V_c % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_ord__less__eq__trans,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Orderings_Oord(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.55 => ( V_b = V_c % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I1_J,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( V_a = V_b % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b) % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_ord__eq__less__trans,axiom, % 5.43/5.55 ! [V_c,V_b,V_a,T_a] : % 5.43/5.55 ( class_Orderings_Oord(T_a) % 5.43/5.55 => ( V_a = V_b % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_xt1_I9_J,axiom, % 5.43/5.55 ! [V_a,V_b,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) % 5.43/5.55 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__less__asym_H,axiom, % 5.43/5.55 ! [V_b,V_a,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) % 5.43/5.55 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__less__imp__not__eq2,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => V_y != V_x ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__less__imp__not__eq,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => V_x != V_y ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__less__imp__not__less,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_order__less__not__sym,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Opreorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_less__imp__neq,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Oorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => V_x != V_y ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_linorder__neqE,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Olinorder(T_a) % 5.43/5.55 => ( V_x != V_y % 5.43/5.55 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_linorder__antisym__conv3,axiom, % 5.43/5.55 ! [V_x_2,V_y_2,T_a] : % 5.43/5.55 ( class_Orderings_Olinorder(T_a) % 5.43/5.55 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) % 5.43/5.55 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.55 <=> V_x_2 = V_y_2 ) ) ) ). % 5.43/5.55 % 5.43/5.55 fof(fact_linorder__less__linear,axiom, % 5.43/5.55 ! [V_y,V_x,T_a] : % 5.43/5.55 ( class_Orderings_Olinorder(T_a) % 5.43/5.55 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.55 | V_x = V_y % 5.43/5.56 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_not__less__iff__gr__or__eq,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) % 5.43/5.56 | V_x_2 = V_y_2 ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_linorder__neq__iff,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( V_x_2 != V_y_2 % 5.43/5.56 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__less__irrefl,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_Orderings_Opreorder(T_a) % 5.43/5.56 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_xt1_I8_J,axiom, % 5.43/5.56 ! [V_z,V_x,V_y,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__le__less__trans,axiom, % 5.43/5.56 ! [V_z,V_y,V_x,T_a] : % 5.43/5.56 ( class_Orderings_Opreorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_z) % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_xt1_I7_J,axiom, % 5.43/5.56 ! [V_z,V_x,V_y,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_z,V_x) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__less__le__trans,axiom, % 5.43/5.56 ! [V_z,V_y,V_x,T_a] : % 5.43/5.56 ( class_Orderings_Opreorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_x,V_z) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_xt1_I11_J,axiom, % 5.43/5.56 ! [V_a,V_b,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.43/5.56 => ( V_a != V_b % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__le__neq__trans,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.56 => ( V_a != V_b % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__le__imp__less__or__eq,axiom, % 5.43/5.56 ! [V_y,V_x,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.56 | V_x = V_y ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_linorder__antisym__conv2,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.56 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> V_x_2 = V_y_2 ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__less__imp__le,axiom, % 5.43/5.56 ! [V_y,V_x,T_a] : % 5.43/5.56 ( class_Orderings_Opreorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_leD,axiom, % 5.43/5.56 ! [V_x,V_y,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.43/5.56 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_xt1_I12_J,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( V_a != V_b % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__neq__le__trans,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( V_a != V_b % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_linorder__antisym__conv1,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> V_x_2 = V_y_2 ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_not__leE,axiom, % 5.43/5.56 ! [V_x,V_y,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) % 5.43/5.56 => c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_leI,axiom, % 5.43/5.56 ! [V_y,V_x,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__le__less,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 | V_x_2 = V_y_2 ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_less__le__not__le,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Opreorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.56 & ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__less__le,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.56 & V_x_2 != V_y_2 ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_linorder__le__less__linear,axiom, % 5.43/5.56 ! [V_y,V_x,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.56 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_linorder__not__le,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_linorder__not__less,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Orderings_Olinorder(T_a) % 5.43/5.56 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) % 5.43/5.56 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_lemmaCauchy,axiom, % 5.43/5.56 ! [V_X_2,V_M_2,T_a,T_b] : % 5.43/5.56 ( ( class_RealVector_Oreal__normed__vector(T_b) % 5.43/5.56 & class_Orderings_Oord(T_a) ) % 5.43/5.56 => ( ! [B_n] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) % 5.43/5.56 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,c_Groups_Ominus__class_Ominus(T_b,hAPP(V_X_2,V_M_2),hAPP(V_X_2,B_n))),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) % 5.43/5.56 => ! [B_n] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) % 5.43/5.56 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,V_M_2)))) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom, % 5.43/5.56 ~ ! [B_q] : % 5.43/5.56 ( c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,B_q) = c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,v_pa____) % 5.43/5.56 => ~ ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_pa____),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_c____,B_x)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_mult__left_Opos__bounded,axiom, % 5.43/5.56 ! [V_y,T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.56 => ? [B_K] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.43/5.56 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_less__fun__def,axiom, % 5.43/5.56 ! [V_g_2,V_f_2,T_a,T_b] : % 5.43/5.56 ( class_Orderings_Oord(T_b) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.43/5.56 <=> ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) % 5.43/5.56 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_mult_Opos__bounded,axiom, % 5.43/5.56 ! [T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.56 => ? [B_K] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.43/5.56 & ! [B_a,B_b] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_a),B_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_a)),c_RealVector_Onorm__class_Onorm(T_a,B_b))),B_K)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_mult__right_Opos__bounded,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__algebra(T_a) % 5.43/5.56 => ? [B_K] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) % 5.43/5.56 & ! [B_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),B_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(T_a,B_x)),B_K)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_tsub__def,axiom, % 5.43/5.56 ! [V_x,V_y] : % 5.43/5.56 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 5.43/5.56 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) % 5.43/5.56 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 5.43/5.56 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_termination__basic__simps_I4_J,axiom, % 5.43/5.56 ! [V_y,V_z,V_x] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_tsub__eq,axiom, % 5.43/5.56 ! [V_x,V_y] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) % 5.43/5.56 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_termination__basic__simps_I1_J,axiom, % 5.43/5.56 ! [V_z,V_y,V_x] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_termination__basic__simps_I2_J,axiom, % 5.43/5.56 ! [V_y,V_z,V_x] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z) % 5.43/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_termination__basic__simps_I5_J,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_termination__basic__simps_I3_J,axiom, % 5.43/5.56 ! [V_z,V_y,V_x] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_pos__poly__pCons,axiom, % 5.43/5.56 ! [V_pb_2,V_aa_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Polynomial_Opos__poly(T_a,c_Polynomial_OpCons(T_a,V_aa_2,V_pb_2)) % 5.43/5.56 <=> ( c_Polynomial_Opos__poly(T_a,V_pb_2) % 5.43/5.56 | ( V_pb_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.56 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Limits_Ominus__diff__minus,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Groups_Oab__group__add(T_a) % 5.43/5.56 => c_Groups_Ominus__class_Ominus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_pos__poly__add,axiom, % 5.43/5.56 ! [V_q,V_p,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Polynomial_Opos__poly(T_a,V_p) % 5.43/5.56 => ( c_Polynomial_Opos__poly(T_a,V_q) % 5.43/5.56 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_pos__poly__mult,axiom, % 5.43/5.56 ! [V_q,V_p,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Polynomial_Opos__poly(T_a,V_p) % 5.43/5.56 => ( c_Polynomial_Opos__poly(T_a,V_q) % 5.43/5.56 => c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_less__eq__poly__def,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) % 5.43/5.56 <=> ( V_x_2 = V_y_2 % 5.43/5.56 | c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_not__pos__poly__0,axiom, % 5.43/5.56 ! [T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_less__poly__def,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) % 5.43/5.56 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_pos__poly__total,axiom, % 5.43/5.56 ! [V_p,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.56 | c_Polynomial_Opos__poly(T_a,V_p) % 5.43/5.56 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_poly__cont,axiom, % 5.43/5.56 ! [V_p,V_z,V_e] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_e) % 5.43/5.56 => ? [B_d] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d) % 5.43/5.56 & ! [B_w] : % 5.43/5.56 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z))) % 5.43/5.56 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,B_w,V_z)),B_d) ) % 5.43/5.56 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),B_w),hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,V_p),V_z))),V_e) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_decseq__def,axiom, % 5.43/5.56 ! [V_X_2,T_a] : % 5.43/5.56 ( class_Orderings_Oorder(T_a) % 5.43/5.56 => ( c_SEQ_Odecseq(T_a,V_X_2) % 5.43/5.56 <=> ! [B_m,B_n] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_compl__le__compl__iff,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Lattices_Oboolean__algebra(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)) % 5.43/5.56 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_compl__mono,axiom, % 5.43/5.56 ! [V_y,V_x,T_a] : % 5.43/5.56 ( class_Lattices_Oboolean__algebra(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_y),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_mult__left__idem,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 5.43/5.56 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_mult__idem,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 5.43/5.56 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_times_Oidem,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Lattices_Oab__semigroup__idem__mult(T_a) % 5.43/5.56 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_minus__apply,axiom, % 5.43/5.56 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : % 5.43/5.56 ( class_Groups_Ominus(T_a) % 5.43/5.56 => hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2) = c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_double__compl,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_Lattices_Oboolean__algebra(T_a) % 5.43/5.56 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_uminus__apply,axiom, % 5.43/5.56 ! [V_x_2,V_A_2,T_b,T_a] : % 5.43/5.56 ( class_Groups_Ouminus(T_a) % 5.43/5.56 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_compl__eq__compl__iff,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Lattices_Oboolean__algebra(T_a) % 5.43/5.56 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) % 5.43/5.56 <=> V_x_2 = V_y_2 ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__poly__def,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( ( V_x = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) % 5.43/5.56 & ( V_x != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.56 => ( ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) ) % 5.43/5.56 & ( ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) ) ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__1,axiom, % 5.43/5.56 ! [V_p,V_a,T_a] : % 5.43/5.56 ( class_Rings_Oidom(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Oorder(T_a,V_a,V_p)),V_p) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__0__right,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__zero__iff,axiom, % 5.43/5.56 ! [V_x_2,T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.56 => ( c_Groups_Osgn__class_Osgn(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__0__0,axiom, % 5.43/5.56 ! [V_aa_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__zero,axiom, % 5.43/5.56 ! [T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn0,axiom, % 5.43/5.56 ! [T_a] : % 5.43/5.56 ( class_Groups_Osgn__if(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_smult__dvd__cancel,axiom, % 5.43/5.56 ! [V_q,V_p,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__smult,axiom, % 5.43/5.56 ! [V_a,V_q,V_p,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__0__left,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.56 => V_a = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__refl,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_a) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__sgn,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__trans,axiom, % 5.43/5.56 ! [V_c,V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__smult__iff,axiom, % 5.43/5.56 ! [V_qa_2,V_pb_2,V_aa_2,T_a] : % 5.43/5.56 ( class_Fields_Ofield(T_a) % 5.43/5.56 => ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,c_Polynomial_Osmult(T_a,V_aa_2,V_qa_2)) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,V_qa_2) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_smult__dvd,axiom, % 5.43/5.56 ! [V_a,V_q,V_p,T_a] : % 5.43/5.56 ( class_Fields_Ofield(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) % 5.43/5.56 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_a,V_p),V_q) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__smult__cancel,axiom, % 5.43/5.56 ! [V_q,V_a,V_p,T_a] : % 5.43/5.56 ( class_Fields_Ofield(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,c_Polynomial_Osmult(T_a,V_a,V_q)) % 5.43/5.56 => ( V_a != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_p,V_q) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult__cancel__left,axiom, % 5.43/5.56 ! [V_b_2,V_aa_2,V_ca_2,T_a] : % 5.43/5.56 ( class_Rings_Oidom(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_aa_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) % 5.43/5.56 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 | c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult__cancel__right,axiom, % 5.43/5.56 ! [V_b_2,V_ca_2,V_aa_2,T_a] : % 5.43/5.56 ( class_Rings_Oidom(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_aa_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) % 5.43/5.56 <=> ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 | c_Rings_Odvd__class_Odvd(T_a,V_aa_2,V_b_2) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__mult,axiom, % 5.43/5.56 ! [V_y,V_x,T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__div__algebra(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),c_Groups_Osgn__class_Osgn(T_a,V_y)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__times,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__power__same,axiom, % 5.43/5.56 ! [V_n,V_y,V_x,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_n)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult__right,axiom, % 5.43/5.56 ! [V_c,V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_c) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult__left,axiom, % 5.43/5.56 ! [V_c,V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvdI,axiom, % 5.43/5.56 ! [V_k,V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Odvd(T_a) % 5.43/5.56 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_b,V_a) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_mult__dvd__mono,axiom, % 5.43/5.56 ! [V_d,V_c,V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_c,V_d) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult,axiom, % 5.43/5.56 ! [V_b,V_c,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult2,axiom, % 5.43/5.56 ! [V_c,V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__triv__right,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__triv__left,axiom, % 5.43/5.56 ! [V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__diff,axiom, % 5.43/5.56 ! [V_z,V_y,V_x,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__ring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_z) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_x,c_Groups_Ominus__class_Ominus(T_a,V_y,V_z)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__minus__iff,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__ring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_x_2,c_Groups_Ouminus__class_Ouminus(T_a,V_y_2)) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_minus__dvd__iff,axiom, % 5.43/5.56 ! [V_y_2,V_x_2,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__ring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x_2),V_y_2) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(T_a,V_x_2,V_y_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__one,axiom, % 5.43/5.56 ! [T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__algebra__1(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__minus,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_one__dvd,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__add,axiom, % 5.43/5.56 ! [V_c,V_b,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_b) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_a,V_c) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_le__imp__power__dvd,axiom, % 5.43/5.56 ! [V_a,V_n,V_m,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__power__le,axiom, % 5.43/5.56 ! [V_m,V_n,V_y,V_x,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_x,V_y) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_m)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_power__le__dvd,axiom, % 5.43/5.56 ! [V_m,V_b,V_n,V_a,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n),V_b) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m),V_b) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__less,axiom, % 5.43/5.56 ! [V_aa_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_aa_2),c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.56 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__greater,axiom, % 5.43/5.56 ! [V_aa_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_aa_2)) % 5.43/5.56 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_smult__dvd__iff,axiom, % 5.43/5.56 ! [V_qa_2,V_pb_2,V_aa_2,T_a] : % 5.43/5.56 ( class_Fields_Ofield(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_Osmult(T_a,V_aa_2,V_pb_2),V_qa_2) % 5.43/5.56 <=> ( ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => V_qa_2 = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) % 5.43/5.56 & ( V_aa_2 != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),V_pb_2,V_qa_2) ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__1__pos,axiom, % 5.43/5.56 ! [V_aa_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Oone__class_Oone(T_a) % 5.43/5.56 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_aa_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__pos,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__power,axiom, % 5.43/5.56 ! [V_x,V_n,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.43/5.56 | V_x = c_Groups_Oone__class_Oone(T_a) ) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(T_a,V_x,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__if,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_Groups_Osgn__if(T_a) % 5.43/5.56 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) % 5.43/5.56 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) ) % 5.43/5.56 & ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__1__neg,axiom, % 5.43/5.56 ! [V_aa_2,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Groups_Osgn__class_Osgn(T_a,V_aa_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) % 5.43/5.56 <=> c_Orderings_Oord__class_Oless(T_a,V_aa_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__neg,axiom, % 5.43/5.56 ! [V_a,T_a] : % 5.43/5.56 ( class_Rings_Olinordered__idom(T_a) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_norm__sgn,axiom, % 5.43/5.56 ! [V_x,T_a] : % 5.43/5.56 ( class_RealVector_Oreal__normed__vector(T_a) % 5.43/5.56 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) % 5.43/5.56 & ( V_x != c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_poly__eq__0__iff__dvd,axiom, % 5.43/5.56 ! [V_ca_2,V_pb_2,T_a] : % 5.43/5.56 ( class_Rings_Oidom(T_a) % 5.43/5.56 => ( hAPP(c_Polynomial_Opoly(T_a,V_pb_2),V_ca_2) = c_Groups_Ozero__class_Ozero(T_a) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_ca_2),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),V_pb_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__iff__poly__eq__0,axiom, % 5.43/5.56 ! [V_pb_2,V_ca_2,T_a] : % 5.43/5.56 ( class_Rings_Oidom(T_a) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),c_Polynomial_OpCons(T_a,V_ca_2,c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))),V_pb_2) % 5.43/5.56 <=> hAPP(c_Polynomial_Opoly(T_a,V_pb_2),c_Groups_Ouminus__class_Ouminus(T_a,V_ca_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_inf__period_I4_J,axiom, % 5.43/5.56 ! [V_t_2,V_D_2,V_d_2,T_a] : % 5.43/5.56 ( ( class_Rings_Ocomm__ring(T_a) % 5.43/5.56 & class_Rings_Odvd(T_a) ) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2) % 5.43/5.56 => ! [B_x,B_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_t_2)) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_t_2)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_inf__period_I3_J,axiom, % 5.43/5.56 ! [V_t_2,V_D_2,V_d_2,T_a] : % 5.43/5.56 ( ( class_Rings_Ocomm__ring(T_a) % 5.43/5.56 & class_Rings_Odvd(T_a) ) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,V_D_2) % 5.43/5.56 => ! [B_x,B_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,B_x,V_t_2)) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(T_a,V_d_2,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_k),V_D_2)),V_t_2)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__mult__cancel,axiom, % 5.43/5.56 ! [V_n,V_m,V_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_n)) % 5.43/5.56 => ( V_k != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_m,V_n) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__reduce,axiom, % 5.43/5.56 ! [V_ma_2,V_n_2,V_ka_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_ka_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_n_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),V_ma_2))) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_ka_2,V_n_2) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__period,axiom, % 5.43/5.56 ! [V_ca_2,V_t_2,V_x_2,V_d_2,V_aa_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_aa_2,V_d_2) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_aa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,V_t_2)) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_aa_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ca_2),V_d_2)),V_t_2)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_nat__mult__dvd__cancel__disj,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.43/5.56 <=> ( V_ka_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.56 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__diff__nat,axiom, % 5.43/5.56 ! [V_n,V_m,V_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_m) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__zdiffD,axiom, % 5.43/5.56 ! [V_n,V_m,V_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_m,V_n)) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k,V_n) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_k,V_m) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_uminus__dvd__conv_I2_J,axiom, % 5.43/5.56 ! [V_t_2,V_d_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,V_t_2) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_t_2)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_uminus__dvd__conv_I1_J,axiom, % 5.43/5.56 ! [V_t_2,V_d_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_d_2,V_t_2) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_d_2),V_t_2) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_nat__dvd__1__iff__1,axiom, % 5.43/5.56 ! [V_ma_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,c_Groups_Oone__class_Oone(tc_Nat_Onat)) % 5.43/5.56 <=> V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__reduce,axiom, % 5.43/5.56 ! [V_n_2,V_ka_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ka_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_ka_2)) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ka_2,V_n_2) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__mono,axiom, % 5.43/5.56 ! [V_t_2,V_ma_2,V_ka_2] : % 5.43/5.56 ( V_ka_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_ma_2,V_t_2) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ka_2),V_t_2)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__antisym__nonneg,axiom, % 5.43/5.56 ! [V_n,V_m] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_m,V_n) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_n,V_m) % 5.43/5.56 => V_m = V_n ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__diffD1,axiom, % 5.43/5.56 ! [V_n,V_m,V_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_m) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__diffD,axiom, % 5.43/5.56 ! [V_n,V_m,V_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_m) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_nat__dvd__not__less,axiom, % 5.43/5.56 ! [V_n,V_m] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.43/5.56 => ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_n,V_m) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__not__zless,axiom, % 5.43/5.56 ! [V_n,V_m] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_m) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_m,V_n) % 5.43/5.56 => ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_n,V_m) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zdvd__imp__le,axiom, % 5.43/5.56 ! [V_n,V_z] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Int_Oint,V_z,V_n) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_n) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_n) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__imp__le,axiom, % 5.43/5.56 ! [V_n,V_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_k,V_n) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_nat__mult__dvd__cancel1,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ka_2) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ka_2),V_n_2)) % 5.43/5.56 <=> c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,V_n_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult__cancel,axiom, % 5.43/5.56 ! [V_n,V_m,V_k] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_real__sgn__pos,axiom, % 5.43/5.56 ! [V_x] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult__cancel1,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2),V_ma_2) % 5.43/5.56 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__mult__cancel2,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_ma_2),V_ma_2) % 5.43/5.56 <=> V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_power__dvd__imp__le,axiom, % 5.43/5.56 ! [V_n,V_m,V_i] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)) % 5.43/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_i) % 5.43/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zsgn__def,axiom, % 5.43/5.56 ! [V_i] : % 5.43/5.56 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) % 5.43/5.56 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 5.43/5.56 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) % 5.43/5.56 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i) % 5.43/5.56 => 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)) ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_real__sgn__def,axiom, % 5.43/5.56 ! [V_x] : % 5.43/5.56 ( ( V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) % 5.43/5.56 & ( V_x != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.56 => ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) % 5.43/5.56 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) % 5.43/5.56 => 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)) ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_sgn__real__def,axiom, % 5.43/5.56 ! [V_a] : % 5.43/5.56 ( ( V_a = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) % 5.43/5.56 & ( V_a != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) % 5.43/5.56 => ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 5.43/5.56 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) ) % 5.43/5.56 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) % 5.43/5.56 => 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)) ) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_unity__coeff__ex,axiom, % 5.43/5.56 ! [V_l_2,V_P_2,T_a] : % 5.43/5.56 ( ( class_Rings_Odvd(T_a) % 5.43/5.56 & class_Rings_Osemiring__0(T_a) ) % 5.43/5.56 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_l_2),B_x))) % 5.43/5.56 <=> ? [B_x] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(T_a,V_l_2,c_Groups_Oplus__class_Oplus(T_a,B_x,c_Groups_Ozero__class_Ozero(T_a))) % 5.43/5.56 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order__2,axiom, % 5.43/5.56 ! [V_a,V_p,T_a] : % 5.43/5.56 ( class_Rings_Oidom(T_a) % 5.43/5.56 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.56 => ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Nat_OSuc(c_Polynomial_Oorder(T_a,V_a,V_p))),V_p) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_order,axiom, % 5.43/5.56 ! [V_a,V_p,T_a] : % 5.43/5.56 ( class_Rings_Oidom(T_a) % 5.43/5.56 => ( V_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Polynomial_Oorder(T_a,V_a,V_p)),V_p) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Polynomial_OpCons(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))),c_Nat_OSuc(c_Polynomial_Oorder(T_a,V_a,V_p))),V_p) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oorder__refl,axiom, % 5.43/5.56 ! [V_x] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_x) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Suc__mono,axiom, % 5.43/5.56 ! [V_n,V_m] : % 5.43/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.43/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_lessI,axiom, % 5.43/5.56 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) ). % 5.43/5.56 % 5.43/5.56 fof(fact_zero__less__Suc,axiom, % 5.43/5.56 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__1__left,axiom, % 5.43/5.56 ! [V_k] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__1__iff__1,axiom, % 5.43/5.56 ! [V_ma_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 5.43/5.56 <=> V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oeq__iff,axiom, % 5.43/5.56 ! [V_y_2,V_x_2] : % 5.43/5.56 ( V_x_2 = V_y_2 % 5.43/5.56 <=> ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2) % 5.43/5.56 & c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Ole__less,axiom, % 5.43/5.56 ! [V_y_2,V_x_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2) % 5.43/5.56 <=> ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) ) % 5.43/5.56 | V_x_2 = V_y_2 ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__le,axiom, % 5.43/5.56 ! [V_y_2,V_x_2] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) ) % 5.43/5.56 <=> ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2) % 5.43/5.56 & V_x_2 != V_y_2 ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oneq__le__trans,axiom, % 5.43/5.56 ! [V_b,V_a] : % 5.43/5.56 ( V_a != V_b % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oeq__refl,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( V_x = V_y % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oantisym__conv,axiom, % 5.43/5.56 ! [V_x_2,V_y_2] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y_2,V_x_2) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x_2,V_y_2) % 5.43/5.56 <=> V_x_2 = V_y_2 ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Ole__imp__less__or__eq,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 | V_x = V_y ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Ole__neq__trans,axiom, % 5.43/5.56 ! [V_b,V_a] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) % 5.43/5.56 => ( V_a != V_b % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oord__eq__le__trans,axiom, % 5.43/5.56 ! [V_c,V_b,V_a] : % 5.43/5.56 ( V_a = V_b % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_c) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oord__le__eq__trans,axiom, % 5.43/5.56 ! [V_c,V_b,V_a] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) % 5.43/5.56 => ( V_b = V_c % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd__antisym,axiom, % 5.43/5.56 ! [V_n,V_m] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_m,V_n) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_n,V_m) % 5.43/5.56 => V_m = V_n ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oantisym,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) % 5.43/5.56 => V_x = V_y ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oorder__trans,axiom, % 5.43/5.56 ! [V_z,V_y,V_x] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oord__eq__less__trans,axiom, % 5.43/5.56 ! [V_c,V_b,V_a] : % 5.43/5.56 ( V_a = V_b % 5.43/5.56 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_c) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_b) ) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_a) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Ole__less__trans,axiom, % 5.43/5.56 ! [V_z,V_y,V_x] : % 5.43/5.56 ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_y) ) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__imp__neq,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => V_x != V_y ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__not__sym,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__imp__le,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__imp__not__less,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__imp__not__eq,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => V_x != V_y ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__imp__not__eq2,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => V_y != V_x ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oord__less__eq__trans,axiom, % 5.43/5.56 ! [V_c,V_b,V_a] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) % 5.43/5.56 => ( V_b = V_c % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_c) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_c,V_a) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__le__trans,axiom, % 5.43/5.56 ! [V_z,V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__asym_H,axiom, % 5.43/5.56 ! [V_b,V_a] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) ) % 5.43/5.56 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_b,V_a) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_a,V_b) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__trans,axiom, % 5.43/5.56 ! [V_z,V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_z) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_y) ) % 5.43/5.56 => ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_z) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_z,V_x) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_dvd_Oless__asym,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) ) % 5.43/5.56 => ~ ( c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_y,V_x) % 5.43/5.56 & ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,V_x,V_y) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_power_Opower_Opower__Suc,axiom, % 5.43/5.56 ! [V_n_2,V_aa_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),c_Nat_OSuc(V_n_2)) = hAPP(hAPP(V_times_2,V_aa_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_aa_2),V_n_2)) ). % 5.43/5.56 % 5.43/5.56 fof(fact_power__0__Suc,axiom, % 5.43/5.56 ! [V_n,T_a] : % 5.43/5.56 ( ( class_Power_Opower(T_a) % 5.43/5.56 & class_Rings_Osemiring__0(T_a) ) % 5.43/5.56 => 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) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_power__Suc2,axiom, % 5.43/5.56 ! [V_n,V_a,T_a] : % 5.43/5.56 ( class_Groups_Omonoid__mult(T_a) % 5.43/5.56 => 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) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_power__Suc,axiom, % 5.43/5.56 ! [V_n,V_a,T_a] : % 5.43/5.56 ( class_Power_Opower(T_a) % 5.43/5.56 => 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)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom, % 5.43/5.56 ! [V_q,V_x,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => 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)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom, % 5.43/5.56 ! [V_q,V_x,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => 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)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom, % 5.43/5.56 ! [V_q,V_x,T_a] : % 5.43/5.56 ( class_Rings_Ocomm__semiring__1(T_a) % 5.43/5.56 => 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)) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_one__is__add,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2] : % 5.43/5.56 ( 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) % 5.43/5.56 <=> ( ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 5.43/5.56 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 5.43/5.56 | ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.56 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_add__is__1,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2] : % 5.43/5.56 ( 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)) % 5.43/5.56 <=> ( ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 5.43/5.56 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) % 5.43/5.56 | ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.43/5.56 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_mult__eq__1__iff,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2] : % 5.43/5.56 ( 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)) % 5.43/5.56 <=> ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) % 5.43/5.56 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Suc__neq__Zero,axiom, % 5.43/5.56 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Zero__neq__Suc,axiom, % 5.43/5.56 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ). % 5.43/5.56 % 5.43/5.56 fof(fact_nat_Osimps_I3_J,axiom, % 5.43/5.56 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Suc__not__Zero,axiom, % 5.43/5.56 ! [V_m] : c_Nat_OSuc(V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ). % 5.43/5.56 % 5.43/5.56 fof(fact_nat_Osimps_I2_J,axiom, % 5.43/5.56 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Zero__not__Suc,axiom, % 5.43/5.56 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) ). % 5.43/5.56 % 5.43/5.56 fof(fact_n__not__Suc__n,axiom, % 5.43/5.56 ! [V_n] : V_n != c_Nat_OSuc(V_n) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Suc__n__not__n,axiom, % 5.43/5.56 ! [V_n] : c_Nat_OSuc(V_n) != V_n ). % 5.43/5.56 % 5.43/5.56 fof(fact_nat_Oinject,axiom, % 5.43/5.56 ! [V_nat_H_2,V_nat_2] : % 5.43/5.56 ( c_Nat_OSuc(V_nat_2) = c_Nat_OSuc(V_nat_H_2) % 5.43/5.56 <=> V_nat_2 = V_nat_H_2 ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Suc__inject,axiom, % 5.43/5.56 ! [V_y,V_x] : % 5.43/5.56 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y) % 5.43/5.56 => V_x = V_y ) ). % 5.43/5.56 % 5.43/5.56 fof(fact_Suc__mult__cancel1,axiom, % 5.43/5.56 ! [V_n_2,V_ma_2,V_ka_2] : % 5.43/5.56 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2) % 5.43/5.56 <=> V_ma_2 = V_n_2 ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_add__Suc__right,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_add__Suc,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_add__Suc__shift,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__eq__plus1,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__eq__plus1__left,axiom, % 5.66/5.56 ! [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) ). % 5.66/5.56 % 5.66/5.56 fof(fact_mult__Suc__right,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_mult__Suc,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_One__nat__def,axiom, % 5.66/5.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_power__Suc__0,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_nat__power__eq__Suc__0__iff,axiom, % 5.66/5.56 ! [V_ma_2,V_x_2] : % 5.66/5.56 ( 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)) % 5.66/5.56 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.66/5.56 | V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__leD,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) % 5.66/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_le__SucE,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) % 5.66/5.56 => ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.66/5.56 => V_m = c_Nat_OSuc(V_n) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_le__SucI,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.66/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__le__mono,axiom, % 5.66/5.56 ! [V_ma_2,V_n_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),c_Nat_OSuc(V_ma_2)) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_le__Suc__eq,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 5.66/5.56 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.66/5.56 | V_ma_2 = c_Nat_OSuc(V_n_2) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_not__less__eq__eq,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__n__not__le__n,axiom, % 5.66/5.56 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__mult__le__cancel1,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2,V_ka_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2)) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_gr0__conv__Suc,axiom, % 5.66/5.56 ! [V_n_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) % 5.66/5.56 <=> ? [B_m] : V_n_2 = c_Nat_OSuc(B_m) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__Suc0,axiom, % 5.66/5.56 ! [V_n_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) % 5.66/5.56 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__Suc__eq__0__disj,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 5.66/5.56 <=> ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.66/5.56 | ? [B_j] : % 5.66/5.56 ( V_ma_2 = c_Nat_OSuc(B_j) % 5.66/5.56 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_n_2) ) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_nat__lt__two__imp__zero__or__one,axiom, % 5.66/5.56 ! [V_x] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) % 5.66/5.56 => ( V_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 5.66/5.56 | V_x = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__add__Suc1,axiom, % 5.66/5.56 ! [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))) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__add__Suc2,axiom, % 5.66/5.56 ! [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))) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__iff__Suc__add,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.66/5.56 <=> ? [B_k] : V_n_2 = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k)) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__less__SucD,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__lessD,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__SucE,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) % 5.66/5.56 => ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.66/5.56 => V_m = V_n ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__trans__Suc,axiom, % 5.66/5.56 ! [V_k,V_j,V_i] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__lessI,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.66/5.56 => ( c_Nat_OSuc(V_m) != V_n % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__SucI,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__antisym,axiom, % 5.66/5.56 ! [V_m,V_n] : % 5.66/5.56 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m)) % 5.66/5.56 => V_m = V_n ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_not__less__less__Suc__eq,axiom, % 5.66/5.56 ! [V_ma_2,V_n_2] : % 5.66/5.56 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) % 5.66/5.56 <=> V_n_2 = V_ma_2 ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__less__eq,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),c_Nat_OSuc(V_n_2)) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__Suc__eq,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 5.66/5.56 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.66/5.56 | V_ma_2 = V_n_2 ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_not__less__eq,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__mult__less__cancel1,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2,V_ka_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_ka_2)),V_n_2)) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__eq__Suc__le,axiom, % 5.66/5.56 ! [V_ma_2,V_n_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_less__Suc__eq__le,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__le__eq,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),V_n_2) % 5.66/5.56 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_le__imp__less__Suc,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__leI,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) % 5.66/5.56 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_le__less__Suc__eq,axiom, % 5.66/5.56 ! [V_n_2,V_ma_2] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) % 5.66/5.56 <=> V_n_2 = V_ma_2 ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__le__lessD,axiom, % 5.66/5.56 ! [V_n,V_m] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_diff__less__Suc,axiom, % 5.66/5.56 ! [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)) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__diff__le,axiom, % 5.66/5.56 ! [V_m,V_n] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) % 5.66/5.56 => 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)) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_Suc__diff__diff,axiom, % 5.66/5.56 ! [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) ). % 5.66/5.56 % 5.66/5.56 fof(fact_diff__Suc__Suc,axiom, % 5.66/5.56 ! [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) ). % 5.66/5.56 % 5.66/5.56 fof(fact_diff__Suc__1,axiom, % 5.66/5.56 ! [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 ). % 5.66/5.56 % 5.66/5.56 fof(fact_diff__Suc__eq__diff__pred,axiom, % 5.66/5.56 ! [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) ). % 5.66/5.56 % 5.66/5.56 fof(fact_power__le__imp__le__base,axiom, % 5.66/5.56 ! [V_b,V_n,V_a,T_a] : % 5.66/5.56 ( class_Rings_Olinordered__semidom(T_a) % 5.66/5.56 => ( 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))) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.66/5.56 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_power__inject__base,axiom, % 5.66/5.56 ! [V_b,V_n,V_a,T_a] : % 5.66/5.56 ( class_Rings_Olinordered__semidom(T_a) % 5.66/5.56 => ( 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)) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) % 5.66/5.56 => V_a = V_b ) ) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_power__gt1,axiom, % 5.66/5.56 ! [V_n,V_a,T_a] : % 5.66/5.56 ( class_Rings_Olinordered__semidom(T_a) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) % 5.66/5.56 => 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))) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_realpow__two__disj,axiom, % 5.66/5.56 ! [V_y_2,V_x_2,T_a] : % 5.66/5.56 ( class_Rings_Oidom(T_a) % 5.66/5.56 => ( 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)))) % 5.66/5.56 <=> ( V_x_2 = V_y_2 % 5.66/5.56 | V_x_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) ) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_one__less__mult,axiom, % 5.66/5.56 ! [V_m,V_n] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) % 5.66/5.56 => 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)) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_n__less__n__mult__m,axiom, % 5.66/5.56 ! [V_m,V_n] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ) ) ). % 5.66/5.56 % 5.66/5.56 fof(fact_n__less__m__mult__n,axiom, % 5.66/5.56 ! [V_m,V_n] : % 5.66/5.56 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) % 5.66/5.56 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) % 5.66/5.56 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ) ) ). % 5.66/5.56 % 5.66/5.56 %----Arity declarations (276) % 5.66/5.56 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom, % 5.66/5.56 ! [T_1] : % 5.66/5.56 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 5.66/5.56 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom, % 5.66/5.56 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ). % 5.66/5.56 % 5.66/5.56 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom, % 5.66/5.56 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom, % 5.66/5.56 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom, % 5.66/5.56 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_fun__Lattices_Oboolean__algebra,axiom, % 5.66/5.56 ! [T_2,T_1] : % 5.66/5.56 ( class_Lattices_Oboolean__algebra(T_1) % 5.66/5.56 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ). % 5.66/5.56 % 5.66/5.56 fof(arity_fun__Orderings_Opreorder,axiom, % 5.66/5.56 ! [T_2,T_1] : % 5.66/5.56 ( class_Orderings_Opreorder(T_1) % 5.66/5.56 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ). % 5.66/5.56 % 5.66/5.56 fof(arity_fun__Orderings_Oorder,axiom, % 5.66/5.56 ! [T_2,T_1] : % 5.66/5.56 ( class_Orderings_Oorder(T_1) % 5.66/5.56 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ). % 5.66/5.56 % 5.66/5.56 fof(arity_fun__Orderings_Oord,axiom, % 5.66/5.56 ! [T_2,T_1] : % 5.66/5.56 ( class_Orderings_Oord(T_1) % 5.66/5.56 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ). % 5.66/5.56 % 5.66/5.56 fof(arity_fun__Groups_Ouminus,axiom, % 5.66/5.56 ! [T_2,T_1] : % 5.66/5.56 ( class_Groups_Ouminus(T_1) % 5.66/5.56 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ). % 5.66/5.56 % 5.66/5.56 fof(arity_fun__Groups_Ominus,axiom, % 5.66/5.56 ! [T_2,T_1] : % 5.66/5.56 ( class_Groups_Ominus(T_1) % 5.66/5.56 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.66/5.56 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.66/5.56 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.66/5.56 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom, % 5.66/5.56 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom, % 5.66/5.56 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom, % 5.66/5.56 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom, % 5.66/5.56 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom, % 5.66/5.56 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom, % 5.66/5.56 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom, % 5.66/5.56 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom, % 5.66/5.56 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom, % 5.66/5.56 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom, % 5.66/5.56 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom, % 5.66/5.56 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom, % 5.66/5.56 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom, % 5.66/5.56 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom, % 5.66/5.56 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom, % 5.66/5.56 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom, % 5.66/5.56 class_Rings_Olinordered__semiring(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom, % 5.66/5.56 class_Rings_Olinordered__semidom(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom, % 5.66/5.56 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom, % 5.66/5.56 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom, % 5.66/5.56 class_Groups_Oab__semigroup__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom, % 5.66/5.56 class_Rings_Oordered__semiring(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom, % 5.66/5.56 class_Rings_Ono__zero__divisors(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom, % 5.66/5.56 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom, % 5.66/5.56 class_Rings_Olinordered__ring(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.56 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom, % 5.66/5.56 class_Rings_Olinordered__idom(tc_Int_Oint) ). % 5.66/5.56 % 5.66/5.57 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__0(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Oab__group__add,axiom, % 5.66/5.57 class_Groups_Oab__group__add(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom, % 5.66/5.57 class_Rings_Ozero__neq__one(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Oordered__ring,axiom, % 5.66/5.57 class_Rings_Oordered__ring(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Orderings_Opreorder,axiom, % 5.66/5.57 class_Orderings_Opreorder(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Orderings_Olinorder,axiom, % 5.66/5.57 class_Orderings_Olinorder(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom, % 5.66/5.57 class_Groups_Omonoid__mult(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom, % 5.66/5.57 class_Rings_Ocomm__ring__1(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Omonoid__add,axiom, % 5.66/5.57 class_Groups_Omonoid__add(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Osemiring__0,axiom, % 5.66/5.57 class_Rings_Osemiring__0(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Ogroup__add,axiom, % 5.66/5.57 class_Groups_Ogroup__add(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Omult__zero,axiom, % 5.66/5.57 class_Rings_Omult__zero(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom, % 5.66/5.57 class_Rings_Ocomm__ring(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Orderings_Oorder,axiom, % 5.66/5.57 class_Orderings_Oorder(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Int_Oring__char__0,axiom, % 5.66/5.57 class_Int_Oring__char__0(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Osemiring,axiom, % 5.66/5.57 class_Rings_Osemiring(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Orderings_Oord,axiom, % 5.66/5.57 class_Orderings_Oord(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Ouminus,axiom, % 5.66/5.57 class_Groups_Ouminus(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Osgn__if,axiom, % 5.66/5.57 class_Groups_Osgn__if(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Oring__1,axiom, % 5.66/5.57 class_Rings_Oring__1(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Ominus,axiom, % 5.66/5.57 class_Groups_Ominus(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Power_Opower,axiom, % 5.66/5.57 class_Power_Opower(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Ozero,axiom, % 5.66/5.57 class_Groups_Ozero(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Oring,axiom, % 5.66/5.57 class_Rings_Oring(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Oidom,axiom, % 5.66/5.57 class_Rings_Oidom(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Groups_Oone,axiom, % 5.66/5.57 class_Groups_Oone(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Int__Oint__Rings_Odvd,axiom, % 5.66/5.57 class_Rings_Odvd(tc_Int_Oint) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.66/5.57 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.66/5.57 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom, % 5.66/5.57 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom, % 5.66/5.57 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom, % 5.66/5.57 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom, % 5.66/5.57 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom, % 5.66/5.57 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom, % 5.66/5.57 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom, % 5.66/5.57 class_Rings_Olinordered__semiring(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom, % 5.66/5.57 class_Rings_Olinordered__semidom(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom, % 5.66/5.57 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom, % 5.66/5.57 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom, % 5.66/5.57 class_Rings_Oordered__semiring(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom, % 5.66/5.57 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom, % 5.66/5.57 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom, % 5.66/5.57 class_Rings_Ozero__neq__one(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Orderings_Opreorder,axiom, % 5.66/5.57 class_Orderings_Opreorder(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Orderings_Olinorder,axiom, % 5.66/5.57 class_Orderings_Olinorder(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom, % 5.66/5.57 class_Groups_Omonoid__mult(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom, % 5.66/5.57 class_Groups_Omonoid__add(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom, % 5.66/5.57 class_Rings_Osemiring__0(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Omult__zero,axiom, % 5.66/5.57 class_Rings_Omult__zero(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Orderings_Oorder,axiom, % 5.66/5.57 class_Orderings_Oorder(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Osemiring,axiom, % 5.66/5.57 class_Rings_Osemiring(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Orderings_Oord,axiom, % 5.66/5.57 class_Orderings_Oord(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Ominus,axiom, % 5.66/5.57 class_Groups_Ominus(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Power_Opower,axiom, % 5.66/5.57 class_Power_Opower(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Ozero,axiom, % 5.66/5.57 class_Groups_Ozero(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Groups_Oone,axiom, % 5.66/5.57 class_Groups_Oone(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Nat__Onat__Rings_Odvd,axiom, % 5.66/5.57 class_Rings_Odvd(tc_Nat_Onat) ). % 5.66/5.57 % 5.66/5.57 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom, % 5.66/5.57 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ). % 5.66/5.57 % 5.66/5.57 fof(arity_HOL__Obool__Orderings_Opreorder,axiom, % 5.66/5.57 class_Orderings_Opreorder(tc_HOL_Obool) ). % 5.66/5.57 % 5.66/5.57 fof(arity_HOL__Obool__Orderings_Oorder,axiom, % 5.66/5.57 class_Orderings_Oorder(tc_HOL_Obool) ). % 5.66/5.57 % 5.66/5.57 fof(arity_HOL__Obool__Orderings_Oord,axiom, % 5.66/5.57 class_Orderings_Oord(tc_HOL_Obool) ). % 5.66/5.57 % 5.66/5.57 fof(arity_HOL__Obool__Groups_Ouminus,axiom, % 5.66/5.57 class_Groups_Ouminus(tc_HOL_Obool) ). % 5.66/5.57 % 5.66/5.57 fof(arity_HOL__Obool__Groups_Ominus,axiom, % 5.66/5.57 class_Groups_Ominus(tc_HOL_Obool) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.66/5.57 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.66/5.57 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom, % 5.66/5.57 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom, % 5.66/5.57 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom, % 5.66/5.57 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom, % 5.66/5.57 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,axiom, % 5.66/5.57 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom, % 5.66/5.57 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom, % 5.66/5.57 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom, % 5.66/5.57 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom, % 5.66/5.57 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom, % 5.66/5.57 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom, % 5.66/5.57 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom, % 5.66/5.57 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom, % 5.66/5.57 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom, % 5.66/5.57 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom, % 5.66/5.57 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom, % 5.66/5.57 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Fields_Ofield__inverse__zero,axiom, % 5.66/5.57 class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom, % 5.66/5.57 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom, % 5.66/5.57 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom, % 5.66/5.57 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom, % 5.66/5.57 class_Fields_Olinordered__field(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom, % 5.66/5.57 class_Rings_Oordered__semiring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom, % 5.66/5.57 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom, % 5.66/5.57 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom, % 5.66/5.57 class_Rings_Olinordered__ring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom, % 5.66/5.57 class_Rings_Olinordered__idom(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Odivision__ring,axiom, % 5.66/5.57 class_Rings_Odivision__ring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom, % 5.66/5.57 class_Groups_Oab__group__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom, % 5.66/5.57 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom, % 5.66/5.57 class_Rings_Oordered__ring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom, % 5.66/5.57 class_Orderings_Opreorder(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom, % 5.66/5.57 class_Orderings_Olinorder(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom, % 5.66/5.57 class_Groups_Omonoid__mult(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom, % 5.66/5.57 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom, % 5.66/5.57 class_Groups_Omonoid__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom, % 5.66/5.57 class_Rings_Osemiring__0(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom, % 5.66/5.57 class_Groups_Ogroup__add(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom, % 5.66/5.57 class_Rings_Omult__zero(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom, % 5.66/5.57 class_Rings_Ocomm__ring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom, % 5.66/5.57 class_Orderings_Oorder(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom, % 5.66/5.57 class_Int_Oring__char__0(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom, % 5.66/5.57 class_Rings_Osemiring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Orderings_Oord,axiom, % 5.66/5.57 class_Orderings_Oord(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom, % 5.66/5.57 class_Groups_Ouminus(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom, % 5.66/5.57 class_Groups_Osgn__if(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom, % 5.66/5.57 class_Rings_Oring__1(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ominus,axiom, % 5.66/5.57 class_Groups_Ominus(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Fields_Ofield,axiom, % 5.66/5.57 class_Fields_Ofield(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Power_Opower,axiom, % 5.66/5.57 class_Power_Opower(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Ozero,axiom, % 5.66/5.57 class_Groups_Ozero(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oring,axiom, % 5.66/5.57 class_Rings_Oring(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Oidom,axiom, % 5.66/5.57 class_Rings_Oidom(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Groups_Oone,axiom, % 5.66/5.57 class_Groups_Oone(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_RealDef__Oreal__Rings_Odvd,axiom, % 5.66/5.57 class_Rings_Odvd(tc_RealDef_Oreal) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.66/5.57 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,axiom, % 5.66/5.57 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom, % 5.66/5.57 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom, % 5.66/5.57 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom, % 5.66/5.57 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom, % 5.66/5.57 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,axiom, % 5.66/5.57 class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom, % 5.66/5.57 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom, % 5.66/5.57 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom, % 5.66/5.57 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom, % 5.66/5.57 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom, % 5.66/5.57 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Odivision__ring,axiom, % 5.66/5.57 class_Rings_Odivision__ring(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom, % 5.66/5.57 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom, % 5.66/5.57 class_Groups_Oab__group__add(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom, % 5.66/5.57 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom, % 5.66/5.57 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom, % 5.66/5.57 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom, % 5.66/5.57 class_Groups_Omonoid__add(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom, % 5.66/5.57 class_Rings_Osemiring__0(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom, % 5.66/5.57 class_Groups_Ogroup__add(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom, % 5.66/5.57 class_Rings_Omult__zero(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom, % 5.66/5.57 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom, % 5.66/5.57 class_Int_Oring__char__0(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom, % 5.66/5.57 class_Rings_Osemiring(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom, % 5.66/5.57 class_Groups_Ouminus(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom, % 5.66/5.57 class_Rings_Oring__1(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom, % 5.66/5.57 class_Groups_Ominus(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom, % 5.66/5.57 class_Fields_Ofield(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Power_Opower,axiom, % 5.66/5.57 class_Power_Opower(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom, % 5.66/5.57 class_Groups_Ozero(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Oring,axiom, % 5.66/5.57 class_Rings_Oring(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom, % 5.66/5.57 class_Rings_Oidom(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Groups_Oone,axiom, % 5.66/5.57 class_Groups_Oone(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Complex__Ocomplex__Rings_Odvd,axiom, % 5.66/5.57 class_Rings_Odvd(tc_Complex_Ocomplex) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Oidom(T_1) % 5.66/5.57 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 5.66/5.57 => class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Oidom(T_1) % 5.66/5.57 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Oidom(T_1) % 5.66/5.57 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Ocancel__comm__monoid__add(T_1) % 5.66/5.57 => class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__0(T_1) % 5.66/5.57 => class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__1(T_1) % 5.66/5.57 => class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Ocomm__monoid__add(T_1) % 5.66/5.57 => class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Oidom(T_1) % 5.66/5.57 => class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Ocomm__monoid__add(T_1) % 5.66/5.57 => class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__1(T_1) % 5.66/5.57 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__0(T_1) % 5.66/5.57 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__0(T_1) % 5.66/5.57 => class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Oab__group__add(T_1) % 5.66/5.57 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__1(T_1) % 5.66/5.57 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__1(T_1) % 5.66/5.57 => class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__ring__1(T_1) % 5.66/5.57 => class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Ocomm__monoid__add(T_1) % 5.66/5.57 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__0(T_1) % 5.66/5.57 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Oab__group__add(T_1) % 5.66/5.57 => class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__0(T_1) % 5.66/5.57 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__ring(T_1) % 5.66/5.57 => class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__0(T_1) % 5.66/5.57 => class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Oab__group__add(T_1) % 5.66/5.57 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Olinordered__idom(T_1) % 5.66/5.57 => class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__ring__1(T_1) % 5.66/5.57 => class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Oab__group__add(T_1) % 5.66/5.57 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Power_Opower,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__1(T_1) % 5.66/5.57 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Groups_Ozero(T_1) % 5.66/5.57 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oring,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__ring(T_1) % 5.66/5.57 => class_Rings_Oring(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Oidom(T_1) % 5.66/5.57 => class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Groups_Oone,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__1(T_1) % 5.66/5.57 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 fof(arity_Polynomial__Opoly__Rings_Odvd,axiom, % 5.66/5.57 ! [T_1] : % 5.66/5.57 ( class_Rings_Ocomm__semiring__1(T_1) % 5.66/5.57 => class_Rings_Odvd(tc_Polynomial_Opoly(T_1)) ) ). % 5.66/5.57 % 5.66/5.57 %----Conjectures (1) % 5.66/5.57 fof(conj_0,conjecture, % 5.66/5.57 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),v_m____))) ). % 5.66/5.57 % 5.66/5.57 %------------------------------------------------------------------------------ % 5.66/5.57 %------------------------------------------- % 5.66/5.57 % Proof found % 5.66/5.57 % SZS status Theorem for theBenchmark % 5.66/5.57 % SZS output start Proof % 5.66/5.57 %ClaNum:1790(EqnAxiom:188) % 5.66/5.57 %VarNum:8625(SingletonVarNum:3016) % 5.66/5.57 %MaxLitNum:7 % 5.66/5.57 %MaxfuncDepth:7 % 5.66/5.57 %SharedTerms:381 % 5.66/5.57 %goalClause: 562 % 5.66/5.57 %singleGoalClaCount:1 % 5.66/5.57 [189]P1(a1) % 5.66/5.57 [190]P1(a2) % 5.66/5.57 [191]P1(a3) % 5.66/5.57 [192]P2(a1) % 5.66/5.57 [193]P2(a4) % 5.66/5.57 [194]P3(a1) % 5.66/5.57 [195]P3(a4) % 5.66/5.57 [196]P45(a1) % 5.66/5.57 [197]P45(a4) % 5.66/5.57 [198]P46(a1) % 5.66/5.57 [199]P46(a4) % 5.66/5.57 [200]P4(a1) % 5.66/5.57 [201]P4(a4) % 5.66/5.57 [202]P11(a1) % 5.66/5.57 [203]P12(a1) % 5.66/5.57 [204]P14(a1) % 5.66/5.57 [205]P14(a4) % 5.66/5.57 [206]P14(a2) % 5.66/5.57 [207]P14(a3) % 5.66/5.57 [208]P59(a1) % 5.66/5.57 [209]P59(a2) % 5.66/5.57 [210]P59(a3) % 5.66/5.57 [211]P66(a1) % 5.66/5.57 [212]P66(a3) % 5.66/5.57 [213]P68(a1) % 5.66/5.57 [214]P68(a2) % 5.66/5.57 [215]P68(a3) % 5.66/5.57 [216]P67(a1) % 5.66/5.57 [217]P67(a2) % 5.66/5.57 [218]P67(a3) % 5.66/5.57 [219]P52(a1) % 5.66/5.57 [220]P52(a3) % 5.66/5.57 [221]P53(a1) % 5.66/5.57 [222]P53(a3) % 5.66/5.57 [223]P27(a1) % 5.66/5.57 [224]P27(a4) % 5.66/5.57 [225]P27(a2) % 5.66/5.57 [226]P27(a3) % 5.66/5.57 [227]P60(a1) % 5.66/5.57 [228]P60(a2) % 5.66/5.57 [229]P60(a3) % 5.66/5.57 [230]P61(a1) % 5.66/5.57 [231]P61(a2) % 5.66/5.57 [232]P61(a3) % 5.66/5.57 [233]P54(a1) % 5.66/5.57 [234]P54(a3) % 5.66/5.57 [235]P44(a1) % 5.66/5.57 [236]P44(a4) % 5.66/5.57 [237]P62(a1) % 5.66/5.57 [238]P62(a3) % 5.66/5.57 [239]P55(a1) % 5.66/5.57 [240]P55(a4) % 5.66/5.57 [241]P63(a1) % 5.66/5.57 [242]P63(a3) % 5.66/5.57 [243]P64(a1) % 5.66/5.57 [244]P64(a4) % 5.66/5.57 [245]P64(a2) % 5.66/5.57 [246]P64(a3) % 5.66/5.57 [247]P69(a1) % 5.66/5.57 [248]P69(a4) % 5.66/5.57 [249]P69(a3) % 5.66/5.57 [250]P65(a1) % 5.66/5.57 [251]P65(a4) % 5.66/5.57 [252]P65(a2) % 5.66/5.57 [253]P65(a3) % 5.66/5.57 [254]P73(a1) % 5.66/5.57 [255]P73(a4) % 5.66/5.57 [256]P73(a2) % 5.66/5.57 [257]P73(a3) % 5.66/5.57 [258]P74(a1) % 5.66/5.57 [259]P74(a4) % 5.66/5.57 [260]P74(a2) % 5.66/5.57 [261]P74(a3) % 5.66/5.57 [262]P47(a1) % 5.66/5.57 [263]P47(a4) % 5.66/5.57 [264]P47(a2) % 5.66/5.57 [265]P47(a3) % 5.66/5.57 [266]P70(a1) % 5.66/5.57 [267]P70(a4) % 5.66/5.57 [268]P70(a3) % 5.66/5.57 [269]P15(a1) % 5.66/5.57 [270]P15(a4) % 5.66/5.57 [271]P15(a2) % 5.66/5.57 [272]P15(a3) % 5.66/5.57 [273]P13(a1) % 5.66/5.57 [274]P13(a4) % 5.66/5.57 [275]P56(a1) % 5.66/5.57 [276]P56(a2) % 5.66/5.57 [277]P56(a3) % 5.66/5.57 [278]P75(a1) % 5.66/5.57 [279]P75(a4) % 5.66/5.57 [280]P75(a2) % 5.66/5.57 [281]P75(a3) % 5.66/5.57 [282]P28(a1) % 5.66/5.57 [283]P28(a2) % 5.66/5.57 [284]P28(a3) % 5.66/5.57 [285]P34(a1) % 5.66/5.57 [286]P34(a4) % 5.66/5.57 [287]P34(a2) % 5.66/5.57 [288]P34(a3) % 5.66/5.57 [289]P16(a1) % 5.66/5.57 [290]P16(a4) % 5.66/5.57 [291]P16(a2) % 5.66/5.57 [292]P16(a3) % 5.66/5.57 [293]P17(a1) % 5.66/5.57 [294]P17(a4) % 5.66/5.57 [295]P17(a2) % 5.66/5.57 [296]P17(a3) % 5.66/5.57 [297]P19(a1) % 5.66/5.57 [298]P19(a4) % 5.66/5.57 [299]P19(a2) % 5.66/5.57 [300]P19(a3) % 5.66/5.57 [301]P20(a1) % 5.66/5.57 [302]P20(a4) % 5.66/5.57 [303]P20(a2) % 5.66/5.57 [304]P20(a3) % 5.66/5.57 [305]P29(a1) % 5.66/5.57 [306]P29(a4) % 5.66/5.57 [307]P29(a2) % 5.66/5.57 [308]P29(a3) % 5.66/5.57 [309]P23(a1) % 5.66/5.57 [310]P23(a4) % 5.66/5.57 [311]P23(a2) % 5.66/5.57 [312]P23(a3) % 5.66/5.57 [313]P22(a1) % 5.66/5.57 [314]P22(a4) % 5.66/5.57 [315]P22(a2) % 5.66/5.57 [316]P22(a3) % 5.66/5.57 [317]P24(a1) % 5.66/5.57 [318]P24(a3) % 5.66/5.57 [319]P30(a1) % 5.66/5.57 [320]P30(a2) % 5.66/5.57 [321]P30(a3) % 5.66/5.57 [322]P31(a1) % 5.66/5.57 [323]P31(a2) % 5.66/5.57 [324]P31(a3) % 5.66/5.57 [325]P33(a1) % 5.66/5.57 [326]P33(a2) % 5.66/5.57 [327]P33(a3) % 5.66/5.57 [328]P25(a1) % 5.66/5.57 [329]P25(a4) % 5.66/5.57 [330]P25(a3) % 5.66/5.57 [331]P18(a1) % 5.66/5.57 [332]P18(a4) % 5.66/5.57 [333]P18(a3) % 5.66/5.57 [334]P32(a1) % 5.66/5.57 [335]P32(a3) % 5.66/5.57 [336]P57(a1) % 5.66/5.57 [337]P57(a4) % 5.66/5.57 [338]P57(a3) % 5.66/5.57 [339]P71(a1) % 5.66/5.57 [340]P71(a4) % 5.66/5.57 [341]P71(a3) % 5.66/5.57 [342]P72(a1) % 5.66/5.57 [343]P72(a4) % 5.66/5.57 [344]P72(a3) % 5.66/5.57 [345]P50(a1) % 5.66/5.57 [346]P50(a4) % 5.66/5.57 [347]P50(a2) % 5.66/5.57 [348]P50(a3) % 5.66/5.57 [349]P76(a1) % 5.66/5.57 [350]P76(a4) % 5.66/5.57 [351]P76(a2) % 5.66/5.57 [352]P76(a3) % 5.66/5.57 [353]P48(a1) % 5.66/5.57 [354]P48(a4) % 5.66/5.57 [355]P48(a3) % 5.66/5.57 [356]P51(a1) % 5.66/5.57 [357]P51(a4) % 5.66/5.57 [358]P51(a2) % 5.66/5.57 [359]P51(a3) % 5.66/5.57 [360]P37(a1) % 5.66/5.57 [361]P37(a4) % 5.66/5.57 [362]P37(a3) % 5.66/5.57 [363]P49(a1) % 5.66/5.57 [364]P49(a4) % 5.66/5.57 [365]P49(a3) % 5.66/5.57 [366]P38(a1) % 5.66/5.57 [367]P38(a2) % 5.66/5.57 [368]P38(a3) % 5.66/5.57 [369]P38(a62) % 5.66/5.57 [370]P39(a1) % 5.66/5.57 [371]P39(a2) % 5.66/5.57 [372]P39(a3) % 5.66/5.57 [373]P39(a62) % 5.66/5.57 [374]P40(a1) % 5.66/5.57 [375]P40(a2) % 5.66/5.57 [376]P40(a3) % 5.66/5.57 [377]P43(a1) % 5.66/5.57 [378]P43(a2) % 5.66/5.57 [379]P43(a3) % 5.66/5.57 [380]P43(a62) % 5.66/5.57 [381]P41(a62) % 5.66/5.57 [382]P26(a1) % 5.66/5.57 [383]P26(a4) % 5.66/5.57 [384]P26(a2) % 5.66/5.57 [385]P26(a3) % 5.66/5.57 [386]P26(a62) % 5.66/5.57 [387]P35(a1) % 5.66/5.57 [388]P35(a4) % 5.66/5.57 [389]P35(a3) % 5.66/5.57 [390]P35(a62) % 5.66/5.57 [391]P36(a1) % 5.66/5.57 [392]P36(a3) % 5.66/5.57 [393]P58(a1) % 5.66/5.57 [394]P58(a4) % 5.66/5.57 [395]P58(a2) % 5.66/5.57 [396]P58(a3) % 5.66/5.57 [397]P21(a1) % 5.66/5.57 [398]P21(a4) % 5.66/5.57 [399]P21(a2) % 5.66/5.57 [400]P21(a3) % 5.66/5.57 [403]E(f14(a4,a7),f6(a4,a7)) % 5.66/5.57 [404]E(f8(a4,a64),f8(a4,a71)) % 5.66/5.57 [405]E(f8(a4,a26),f8(a4,a64)) % 5.66/5.57 [406]E(f8(a4,a30),f8(a4,a64)) % 5.66/5.57 [418]P6(a1,f5(a1),a65) % 5.66/5.57 [419]P6(a1,f5(a1),a43) % 5.66/5.57 [420]P6(a1,f5(a1),a27) % 5.66/5.57 [432]P6(a3,f5(a3),f10(a3)) % 5.66/5.57 [434]P5(a3,f5(a3),f10(a3)) % 5.66/5.57 [437]P5(a1,f5(a1),f21(a4,a72)) % 5.66/5.57 [526]~E(f5(a4),a72) % 5.66/5.57 [527]~E(f5(a2),a69) % 5.66/5.57 [528]~E(f5(a4),a67) % 5.66/5.57 [529]~E(f5(a4),a7) % 5.66/5.57 [530]~E(f10(a4),a7) % 5.66/5.57 [531]~E(f5(a2),a32) % 5.66/5.57 [532]~E(f5(a4),a38) % 5.66/5.57 [533]~E(f10(a1),f5(a1)) % 5.66/5.57 [534]~E(f10(a3),f5(a3)) % 5.66/5.57 [551]~P7(a4,a4,f15(a4,a70)) % 5.66/5.57 [552]~P7(a4,a4,f15(a4,a64)) % 5.66/5.57 [554]~P7(a4,a4,f15(a4,a71)) % 5.66/5.57 [401]E(f14(a1,f5(a1)),f5(a1)) % 5.66/5.57 [402]E(f6(a3,f5(a3)),f5(a3)) % 5.66/5.57 [436]E(f42(f15(a4,a71),f5(a4)),f42(f15(a4,a64),a66)) % 5.66/5.57 [466]P6(a2,f12(a2,a69,f10(a2)),f8(a4,a64)) % 5.66/5.57 [518]E(f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f5(a4)),f10(a4)) % 5.66/5.57 [520]E(f11(a4,f12(a4,f10(a4),f42(f42(f9(a4),f42(f42(f22(a4),a72),a69)),a67)),f10(a4)),f11(a4,f5(a4),f10(a4))) % 5.66/5.57 [535]~E(f42(f15(a4,a64),a66),f5(a4)) % 5.66/5.57 [536]~E(f42(f15(a4,a71),f5(a4)),f5(a4)) % 5.66/5.57 [550]~E(f12(a2,a69,f10(a2)),f8(a4,a64)) % 5.66/5.57 [430]E(f42(f42(f9(a4),a7),a7),f6(a4,f10(a4))) % 5.66/5.57 [469]E(f42(f42(f9(a4),f42(f42(f22(a4),a72),a69)),a67),f6(a4,f10(a4))) % 5.66/5.57 [502]E(f8(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f8(a4,a71)) % 5.66/5.57 [511]E(f8(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f12(a2,f12(a2,f8(a4,a73),a69),f10(a2))) % 5.66/5.57 [512]E(f8(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f12(a2,f12(a2,f8(a4,a31),a32),f10(a2))) % 5.66/5.57 [516]E(f8(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2))))),f12(a2,a69,f10(a2))) % 5.66/5.57 [559]~P7(a4,a4,f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71))) % 5.66/5.57 [560]~P7(a4,a4,f15(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2)))))) % 5.66/5.57 [504]E(f12(a4,f10(a4),f42(f42(f9(a4),f42(f42(f22(a4),a72),a69)),a67)),f5(a4)) % 5.66/5.57 [505]E(f12(a4,f10(a4),f42(f42(f9(a4),f42(f42(f22(a4),a44),a69)),a67)),f5(a4)) % 5.66/5.57 [521]E(f42(f15(a4,f18(a4,f10(a4),f16(a4,a67,f11(a2,a69,f10(a2))))),a33),f5(a4)) % 5.66/5.57 [561]~E(f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),a34),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),a37)) % 5.66/5.57 [562]~P6(a1,f5(a1),f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65))) % 5.66/5.57 [411]P5(a1,x4111,x4111) % 5.66/5.57 [412]P5(a2,x4121,x4121) % 5.66/5.57 [413]P5(a3,x4131,x4131) % 5.66/5.57 [414]P8(a2,x4141,x4141) % 5.66/5.57 [538]~P6(a2,x5381,x5381) % 5.66/5.57 [422]E(f11(a2,x4221,x4221),f5(a2)) % 5.66/5.57 [424]P5(a2,f5(a2),x4241) % 5.66/5.57 [541]~P6(a2,x5411,f5(a2)) % 5.66/5.57 [407]E(f6(a3,f6(a3,x4071)),x4071) % 5.66/5.57 [408]E(f42(f42(f9(a2),x4081),f10(a2)),x4081) % 5.66/5.57 [409]E(f42(f42(f9(a3),x4091),f10(a3)),x4091) % 5.66/5.57 [410]E(f42(f42(f9(a2),x4101),f5(a2)),f5(a2)) % 5.66/5.57 [425]E(f12(a2,x4251,f5(a2)),x4251) % 5.66/5.57 [426]E(f12(a3,x4261,f5(a3)),x4261) % 5.66/5.57 [427]E(f11(a2,x4271,f5(a2)),x4271) % 5.66/5.57 [428]E(f12(a2,f5(a2),x4281),x4281) % 5.66/5.57 [429]E(f12(a3,f5(a3),x4291),x4291) % 5.66/5.57 [431]E(f11(a2,f5(a2),x4311),f5(a2)) % 5.66/5.57 [438]E(f12(a3,f6(a3,x4381),x4381),f5(a3)) % 5.66/5.57 [452]P5(a1,f6(a1,f21(a4,x4521)),f21(a4,x4521)) % 5.66/5.57 [459]P6(a2,x4591,f12(a2,x4591,f10(a2))) % 5.66/5.57 [460]P6(a2,f5(a2),f12(a2,x4601,f10(a2))) % 5.66/5.57 [462]E(f42(f15(a4,a64),f12(a4,a66,x4621)),f42(f15(a4,a71),x4621)) % 5.66/5.57 [463]E(f42(f15(a4,a64),f12(a4,a66,x4631)),f42(f15(a4,a26),x4631)) % 5.66/5.57 [464]E(f42(f15(a4,a64),f12(a4,a66,x4641)),f42(f15(a4,a30),x4641)) % 5.66/5.57 [465]P8(a2,f12(a2,f5(a2),f10(a2)),x4651) % 5.66/5.57 [543]~E(f12(a2,x5431,f10(a2)),x5431) % 5.66/5.57 [549]~E(f12(a2,x5491,f10(a2)),f5(a2)) % 5.66/5.57 [557]~P5(a2,f12(a2,x5571,f10(a2)),x5571) % 5.66/5.57 [415]E(f42(f42(f9(a1),f10(a1)),x4151),x4151) % 5.66/5.57 [416]E(f42(f42(f9(a2),f10(a2)),x4161),x4161) % 5.66/5.57 [417]E(f42(f42(f9(a3),f10(a3)),x4171),x4171) % 5.66/5.57 [421]E(f42(f42(f9(a2),f5(a2)),x4211),f5(a2)) % 5.66/5.57 [451]P5(a2,x4511,f42(f42(f9(a2),x4511),x4511)) % 5.66/5.57 [489]P5(a1,f21(a4,f42(f15(a4,a64),a66)),f21(a4,f42(f15(a4,a64),x4891))) % 5.66/5.57 [496]P5(a1,f21(a4,f42(f15(a4,a71),f5(a4))),f21(a4,f42(f15(a4,a64),x4961))) % 5.66/5.57 [522]E(f42(f42(f9(a4),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x5221)),f42(f15(a4,a71),f5(a4))),f42(f15(a4,a71),x5221)) % 5.66/5.57 [558]~E(f12(a3,f12(a3,f10(a3),x5581),x5581),f5(a3)) % 5.66/5.57 [450]E(f42(f42(f9(a4),a7),f42(f42(f9(a4),a7),x4501)),f6(a4,x4501)) % 5.66/5.57 [483]P5(a2,x4831,f42(f42(f9(a2),x4831),f42(f42(f9(a2),x4831),x4831))) % 5.66/5.57 [487]E(f42(f42(f22(a2),f12(a2,f5(a2),f10(a2))),x4871),f12(a2,f5(a2),f10(a2))) % 5.66/5.57 [524]E(f12(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f5(a4)),f42(f42(f9(a4),f42(f42(f22(a4),x5241),a69)),f42(f15(a4,f18(a4,a67,a73)),x5241))),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x5241)) % 5.66/5.57 [525]E(f12(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),f5(a4)),f42(f42(f9(a4),f42(f42(f22(a4),x5251),a32)),f42(f15(a4,f18(a4,a38,a31)),x5251))),f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x5251)) % 5.66/5.57 [442]E(f12(a2,x4421,x4422),f12(a2,x4422,x4421)) % 5.66/5.57 [443]E(f12(a3,x4431,x4432),f12(a3,x4432,x4431)) % 5.66/5.57 [453]P5(a2,x4531,f12(a2,x4532,x4531)) % 5.66/5.57 [454]P5(a2,x4541,f12(a2,x4541,x4542)) % 5.66/5.57 [455]P5(a2,f11(a2,x4551,x4552),x4551) % 5.66/5.57 [555]~P6(a2,f12(a2,x5551,x5552),x5552) % 5.66/5.57 [556]~P6(a2,f12(a2,x5561,x5562),x5561) % 5.66/5.57 [446]E(f12(a1,x4461,f6(a1,x4462)),f11(a1,x4461,x4462)) % 5.66/5.57 [447]E(f12(a4,x4471,f6(a4,x4472)),f11(a4,x4471,x4472)) % 5.66/5.57 [449]E(f12(a3,x4491,f6(a3,x4492)),f11(a3,x4491,x4492)) % 5.66/5.57 [456]E(f11(a2,f12(a2,x4561,x4562),x4562),x4561) % 5.66/5.57 [457]E(f11(a2,f12(a2,x4571,x4572),x4571),x4572) % 5.66/5.57 [458]E(f11(a2,x4581,f12(a2,x4581,x4582)),f5(a2)) % 5.66/5.57 [468]E(f12(a3,f6(a3,x4681),f6(a3,x4682)),f6(a3,f12(a3,x4681,x4682))) % 5.66/5.57 [471]P6(a2,f11(a2,x4711,x4712),f12(a2,x4711,f10(a2))) % 5.66/5.57 [494]P6(a2,x4941,f12(a2,f12(a2,x4942,x4941),f10(a2))) % 5.66/5.57 [495]P6(a2,x4951,f12(a2,f12(a2,x4951,x4952),f10(a2))) % 5.66/5.57 [514]P5(a1,f21(a4,x5141),f12(a1,f21(a4,f12(a4,x5141,x5142)),f21(a4,x5142))) % 5.66/5.57 [515]P5(a1,f11(a1,f21(a4,f12(a4,x5151,x5152)),f21(a4,x5151)),f21(a4,x5152)) % 5.66/5.57 [439]E(f42(f42(f9(a1),x4391),x4392),f42(f42(f9(a1),x4392),x4391)) % 5.66/5.57 [440]E(f42(f42(f9(a2),x4401),x4402),f42(f42(f9(a2),x4402),x4401)) % 5.66/5.57 [441]E(f42(f42(f9(a3),x4411),x4412),f42(f42(f9(a3),x4412),x4411)) % 5.66/5.57 [482]E(f12(a2,f12(a2,x4821,f10(a2)),x4822),f12(a2,f12(a2,x4821,x4822),f10(a2))) % 5.66/5.57 [484]E(f11(a2,f11(a2,x4841,f10(a2)),x4842),f11(a2,x4841,f12(a2,x4842,f10(a2)))) % 5.66/5.57 [485]E(f12(a2,f12(a2,x4851,f10(a2)),x4852),f12(a2,x4851,f12(a2,x4852,f10(a2)))) % 5.66/5.57 [467]E(f42(f42(f9(a3),f6(a3,x4671)),x4672),f6(a3,f42(f42(f9(a3),x4671),x4672))) % 5.66/5.57 [472]E(f42(f42(f9(a2),x4721),f12(a2,x4722,f10(a2))),f12(a2,x4721,f42(f42(f9(a2),x4721),x4722))) % 5.66/5.57 [488]P5(a1,f6(a1,f42(f42(f9(a1),x4881),x4881)),f42(f42(f9(a1),x4882),x4882)) % 5.66/5.57 [501]E(f42(f42(f9(a2),f12(a2,x5011,f10(a2))),x5012),f12(a2,x5012,f42(f42(f9(a2),x5011),x5012))) % 5.66/5.57 [473]E(f12(a2,x4731,f12(a2,x4732,x4733)),f12(a2,x4732,f12(a2,x4731,x4733))) % 5.66/5.57 [474]E(f12(a3,x4741,f12(a3,x4742,x4743)),f12(a3,x4742,f12(a3,x4741,x4743))) % 5.66/5.57 [475]E(f12(a2,f12(a2,x4751,x4752),x4753),f12(a2,x4751,f12(a2,x4752,x4753))) % 5.66/5.57 [476]E(f12(a3,f12(a3,x4761,x4762),x4763),f12(a3,x4761,f12(a3,x4762,x4763))) % 5.66/5.57 [477]E(f11(a2,f11(a2,x4771,x4772),x4773),f11(a2,x4771,f12(a2,x4772,x4773))) % 5.66/5.57 [478]E(f11(a2,f11(a2,x4781,x4782),x4783),f11(a2,f11(a2,x4781,x4783),x4782)) % 5.66/5.57 [479]E(f11(a2,f12(a2,x4791,x4792),f12(a2,x4793,x4792)),f11(a2,x4791,x4793)) % 5.66/5.57 [480]E(f11(a2,f12(a2,x4801,x4802),f12(a2,x4801,x4803)),f11(a2,x4802,x4803)) % 5.66/5.57 [513]E(f11(a2,f11(a2,f12(a2,x5131,f10(a2)),x5132),f12(a2,x5133,f10(a2))),f11(a2,f11(a2,x5131,x5132),x5133)) % 5.66/5.57 [497]E(f12(a2,f42(f42(f9(a2),x4971),x4972),f42(f42(f9(a2),x4971),x4973)),f42(f42(f9(a2),x4971),f12(a2,x4972,x4973))) % 5.66/5.57 [498]E(f11(a2,f42(f42(f9(a2),x4981),x4982),f42(f42(f9(a2),x4981),x4983)),f42(f42(f9(a2),x4981),f11(a2,x4982,x4983))) % 5.66/5.57 [499]E(f12(a3,f42(f42(f9(a3),x4991),x4992),f42(f42(f9(a3),x4991),x4993)),f42(f42(f9(a3),x4991),f12(a3,x4992,x4993))) % 5.66/5.57 [500]E(f11(a3,f42(f42(f9(a3),x5001),x5002),f42(f42(f9(a3),x5001),x5003)),f42(f42(f9(a3),x5001),f11(a3,x5002,x5003))) % 5.66/5.57 [503]E(f42(f42(f9(a3),f42(f42(f22(a3),x5031),x5032)),f42(f42(f22(a3),x5031),x5033)),f42(f42(f22(a3),x5031),f12(a2,x5032,x5033))) % 5.66/5.57 [506]E(f12(a1,f42(f42(f9(a1),x5061),x5062),f42(f42(f9(a1),x5063),x5062)),f42(f42(f9(a1),f12(a1,x5061,x5063)),x5062)) % 5.66/5.57 [507]E(f12(a2,f42(f42(f9(a2),x5071),x5072),f42(f42(f9(a2),x5073),x5072)),f42(f42(f9(a2),f12(a2,x5071,x5073)),x5072)) % 5.66/5.57 [508]E(f11(a2,f42(f42(f9(a2),x5081),x5082),f42(f42(f9(a2),x5083),x5082)),f42(f42(f9(a2),f11(a2,x5081,x5083)),x5082)) % 5.66/5.57 [509]E(f12(a3,f42(f42(f9(a3),x5091),x5092),f42(f42(f9(a3),x5093),x5092)),f42(f42(f9(a3),f12(a3,x5091,x5093)),x5092)) % 5.66/5.57 [510]E(f11(a3,f42(f42(f9(a3),x5101),x5102),f42(f42(f9(a3),x5103),x5102)),f42(f42(f9(a3),f11(a3,x5101,x5103)),x5102)) % 5.66/5.57 [490]E(f42(f42(f9(a1),f42(f42(f9(a1),x4901),x4902)),x4903),f42(f42(f9(a1),x4901),f42(f42(f9(a1),x4902),x4903))) % 5.66/5.57 [491]E(f42(f42(f9(a2),f42(f42(f9(a2),x4911),x4912)),x4913),f42(f42(f9(a2),x4911),f42(f42(f9(a2),x4912),x4913))) % 5.66/5.57 [492]E(f42(f42(f9(a3),f42(f42(f9(a3),x4921),x4922)),x4923),f42(f42(f9(a3),x4921),f42(f42(f9(a3),x4922),x4923))) % 5.66/5.57 [493]E(f42(f42(f22(a3),f42(f42(f22(a3),x4931),x4932)),x4933),f42(f42(f22(a3),x4931),f42(f42(f9(a2),x4932),x4933))) % 5.66/5.57 [470]E(f42(f42(f23(x4701,x4702,x4703),x4704),f5(a2)),x4702) % 5.66/5.57 [519]E(f12(a2,f42(f42(f9(a2),x5191),x5192),f12(a2,f42(f42(f9(a2),x5193),x5192),x5194)),f12(a2,f42(f42(f9(a2),f12(a2,x5191,x5193)),x5192),x5194)) % 5.66/5.57 [517]E(f42(f42(f23(x5171,x5172,x5173),x5174),f12(a2,x5175,f10(a2))),f42(f42(x5173,x5174),f42(f42(f23(x5171,x5172,x5173),x5174),x5175))) % 5.66/5.57 [563]~P54(x5631)+P1(f63(x5631)) % 5.66/5.57 [564]~P50(x5641)+P14(f63(x5641)) % 5.66/5.57 [565]~P54(x5651)+P59(f63(x5651)) % 5.66/5.57 [566]~P54(x5661)+P66(f63(x5661)) % 5.66/5.57 [567]~P54(x5671)+P68(f63(x5671)) % 5.66/5.57 [568]~P54(x5681)+P67(f63(x5681)) % 5.66/5.57 [569]~P54(x5691)+P52(f63(x5691)) % 5.66/5.57 [570]~P54(x5701)+P53(f63(x5701)) % 5.66/5.57 [571]~P50(x5711)+P27(f63(x5711)) % 5.66/5.57 [572]~P54(x5721)+P60(f63(x5721)) % 5.66/5.57 [573]~P54(x5731)+P61(f63(x5731)) % 5.66/5.57 [574]~P54(x5741)+P54(f63(x5741)) % 5.66/5.57 [575]~P54(x5751)+P62(f63(x5751)) % 5.66/5.57 [576]~P54(x5761)+P63(f63(x5761)) % 5.66/5.57 [577]~P57(x5771)+P64(f63(x5771)) % 5.66/5.57 [578]~P57(x5781)+P69(f63(x5781)) % 5.66/5.57 [579]~P51(x5791)+P65(f63(x5791)) % 5.66/5.57 [580]~P50(x5801)+P73(f63(x5801)) % 5.66/5.57 [581]~P51(x5811)+P74(f63(x5811)) % 5.66/5.57 [582]~P51(x5821)+P47(f63(x5821)) % 5.66/5.57 [583]~P57(x5831)+P70(f63(x5831)) % 5.66/5.57 [584]~P50(x5841)+P15(f63(x5841)) % 5.66/5.57 [585]~P54(x5851)+P56(f63(x5851)) % 5.66/5.57 [586]~P51(x5861)+P75(f63(x5861)) % 5.66/5.57 [587]~P54(x5871)+P28(f63(x5871)) % 5.66/5.57 [588]~P34(x5881)+P34(f63(x5881)) % 5.66/5.57 [589]~P51(x5891)+P16(f63(x5891)) % 5.66/5.57 [590]~P22(x5901)+P17(f63(x5901)) % 5.66/5.57 [591]~P21(x5911)+P19(f63(x5911)) % 5.66/5.57 [592]~P21(x5921)+P20(f63(x5921)) % 5.66/5.57 [593]~P50(x5931)+P29(f63(x5931)) % 5.66/5.57 [594]~P22(x5941)+P23(f63(x5941)) % 5.66/5.57 [595]~P22(x5951)+P22(f63(x5951)) % 5.66/5.57 [596]~P54(x5961)+P24(f63(x5961)) % 5.66/5.57 [597]~P54(x5971)+P30(f63(x5971)) % 5.66/5.57 [598]~P54(x5981)+P31(f63(x5981)) % 5.66/5.57 [599]~P54(x5991)+P33(f63(x5991)) % 5.66/5.57 [600]~P18(x6001)+P25(f63(x6001)) % 5.66/5.57 [601]~P18(x6011)+P18(f63(x6011)) % 5.66/5.57 [602]~P54(x6021)+P32(f63(x6021)) % 5.66/5.57 [603]~P57(x6031)+P57(f63(x6031)) % 5.66/5.57 [604]~P49(x6041)+P71(f63(x6041)) % 5.66/5.57 [605]~P48(x6051)+P72(f63(x6051)) % 5.66/5.57 [606]~P50(x6061)+P50(f63(x6061)) % 5.66/5.57 [607]~P57(x6071)+P76(f63(x6071)) % 5.66/5.57 [608]~P48(x6081)+P48(f63(x6081)) % 5.66/5.57 [609]~P51(x6091)+P51(f63(x6091)) % 5.66/5.57 [610]~P54(x6101)+P37(f63(x6101)) % 5.66/5.57 [611]~P49(x6111)+P49(f63(x6111)) % 5.66/5.57 [612]~P54(x6121)+P38(f63(x6121)) % 5.66/5.57 [613]~P54(x6131)+P39(f63(x6131)) % 5.66/5.57 [614]~P54(x6141)+P40(f63(x6141)) % 5.66/5.57 [615]~P54(x6151)+P43(f63(x6151)) % 5.66/5.57 [616]~P18(x6161)+P26(f63(x6161)) % 5.66/5.57 [617]~P18(x6171)+P35(f63(x6171)) % 5.66/5.57 [618]~P54(x6181)+P36(f63(x6181)) % 5.66/5.57 [619]~P50(x6191)+P58(f63(x6191)) % 5.66/5.57 [620]~P21(x6201)+P21(f63(x6201)) % 5.66/5.57 [622]~P73(x6221)+~E(f10(x6221),f5(x6221)) % 5.66/5.57 [624]~E(x6241,f5(a1))+E(f13(a1,x6241),f5(a1)) % 5.66/5.57 [625]~E(x6251,f5(a3))+E(f13(a3,x6251),f5(a3)) % 5.66/5.57 [694]E(x6941,f5(a2))+P6(a2,f5(a2),x6941) % 5.66/5.57 [734]~P3(x7341)+P6(a1,f5(a1),f45(x7341)) % 5.66/5.57 [748]~P1(x7481)+P6(x7481,f5(x7481),f10(x7481)) % 5.66/5.57 [749]~P1(x7491)+P5(x7491,f5(x7491),f10(x7491)) % 5.66/5.57 [809]E(x8091,f5(a2))+~P5(a2,x8091,f5(a2)) % 5.66/5.57 [810]E(x8101,f10(a2))+~P8(a2,x8101,f10(a2)) % 5.66/5.57 [841]~P6(a1,f5(a1),x8411)+E(f13(a1,x8411),f10(a1)) % 5.66/5.57 [864]~P1(x8641)+~P6(x8641,f10(x8641),f5(x8641)) % 5.66/5.57 [865]~P1(x8651)+~P5(x8651,f10(x8651),f5(x8651)) % 5.66/5.57 [935]~P5(a3,f10(a3),x9351)+P6(a3,f5(a3),x9351) % 5.66/5.57 [936]~P6(a3,f5(a3),x9361)+P5(a3,f10(a3),x9361) % 5.66/5.57 [626]~P45(x6261)+E(f21(x6261,f5(x6261)),f5(a1)) % 5.66/5.57 [627]~P44(x6271)+E(f21(x6271,f10(x6271)),f10(a1)) % 5.66/5.57 [630]~P55(x6301)+E(f14(x6301,f5(x6301)),f5(x6301)) % 5.66/5.57 [631]~P13(x6311)+E(f14(x6311,f5(x6311)),f5(x6311)) % 5.66/5.57 [632]~P46(x6321)+E(f14(x6321,f10(x6321)),f10(x6321)) % 5.66/5.57 [633]~P25(x6331)+E(f6(x6331,f5(x6331)),f5(x6331)) % 5.66/5.57 [634]~P45(x6341)+E(f13(x6341,f5(x6341)),f5(x6341)) % 5.66/5.57 [635]~P36(x6351)+E(f13(x6351,f5(x6351)),f5(x6351)) % 5.66/5.57 [636]~P44(x6361)+E(f13(x6361,f10(x6361)),f10(x6361)) % 5.66/5.57 [692]~P54(x6921)+~P9(x6921,f5(f63(x6921))) % 5.66/5.57 [758]~P27(x7581)+E(f23(x7581,f10(x7581),f9(x7581)),f22(x7581)) % 5.66/5.57 [963]~P6(a2,f5(a2),x9631)+E(f12(a2,f52(x9631),f10(a2)),x9631) % 5.66/5.57 [1069]~P1(x10691)+P6(x10691,f5(x10691),f12(x10691,f10(x10691),f10(x10691))) % 5.66/5.57 [1219]~P5(a3,f5(a3),x12191)+P6(a3,f5(a3),f12(a3,f10(a3),x12191)) % 5.66/5.57 [1235]E(x12351,f5(a2))+~P6(a2,x12351,f12(a2,f5(a2),f10(a2))) % 5.66/5.57 [1341]~P8(a2,x13411,f12(a2,f5(a2),f10(a2)))+E(x13411,f12(a2,f5(a2),f10(a2))) % 5.66/5.57 [682]~P18(x6821)+E(f6(f63(x6821),f5(f63(x6821))),f5(f63(x6821))) % 5.66/5.57 [817]~P50(x8171)+E(f18(x8171,f10(x8171),f5(f63(x8171))),f10(f63(x8171))) % 5.66/5.57 [818]~P34(x8181)+E(f18(x8181,f5(x8181),f5(f63(x8181))),f5(f63(x8181))) % 5.66/5.57 [833]E(x8331,f5(a1))+E(f42(f42(f9(a1),f14(a1,x8331)),x8331),f10(a1)) % 5.66/5.57 [945]E(x9451,f5(a1))+P6(a1,f5(a1),f42(f42(f9(a1),x9451),x9451)) % 5.66/5.57 [1159]~E(x11591,f5(a1))+~P6(a1,f5(a1),f42(f42(f9(a1),x11591),x11591)) % 5.66/5.57 [1397]~P5(a1,f21(a4,x13971),f21(a4,a72))+P5(a1,f21(a4,f42(f15(a4,a73),x13971)),a65) % 5.66/5.57 [1398]~P5(a1,f21(a4,x13981),f21(a4,a72))+P5(a1,f21(a4,f42(f15(a4,a73),x13981)),a43) % 5.66/5.57 [1399]~P5(a1,f21(a4,x13991),f21(a4,a72))+P5(a1,f21(a4,f42(f15(a4,a73),x13991)),a27) % 5.66/5.57 [1568]~P6(a3,x15681,f5(a3))+P6(a3,f12(a3,f12(a3,f10(a3),x15681),x15681),f5(a3)) % 5.66/5.57 [1686]P6(a3,x16861,f5(a3))+~P6(a3,f12(a3,f12(a3,f10(a3),x16861),x16861),f5(a3)) % 5.66/5.57 [1786]~P6(a1,f21(a4,f42(f15(a4,a71),x17861)),f21(a4,f42(f15(a4,a71),f5(a4))))+P6(a1,f21(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x17861)),f10(a1)) % 5.66/5.57 [1789]P6(a1,f21(a4,f42(f15(a4,a71),x17891)),f21(a4,f42(f15(a4,a71),f5(a4))))+~P6(a1,f21(a4,f42(f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)),x17891)),f10(a1)) % 5.66/5.57 [683]~E(x6831,x6832)+P5(a1,x6831,x6832) % 5.66/5.57 [686]~E(x6861,x6862)+P5(a2,x6861,x6862) % 5.66/5.57 [690]~E(x6901,x6902)+P8(a2,x6901,x6902) % 5.66/5.57 [702]~P38(x7021)+P5(x7021,x7022,x7022) % 5.66/5.57 [703]~P50(x7031)+P8(x7031,x7032,x7032) % 5.66/5.57 [778]~E(x7781,x7782)+~P6(a1,x7781,x7782) % 5.66/5.57 [783]~E(x7831,x7832)+~P6(a2,x7831,x7832) % 5.66/5.57 [784]~E(x7841,x7842)+~P6(a3,x7841,x7842) % 5.66/5.57 [813]~P6(x8131,x8132,x8132)+~P38(x8131) % 5.66/5.57 [848]P5(a1,x8482,x8481)+P5(a1,x8481,x8482) % 5.66/5.57 [849]P5(a2,x8492,x8491)+P5(a2,x8491,x8492) % 5.66/5.57 [850]P5(a3,x8502,x8501)+P5(a3,x8501,x8502) % 5.66/5.57 [907]~P6(a1,x9071,x9072)+P5(a1,x9071,x9072) % 5.66/5.57 [912]~P6(a2,x9121,x9122)+P5(a2,x9121,x9122) % 5.66/5.57 [913]~P6(a3,x9131,x9132)+P5(a3,x9131,x9132) % 5.66/5.57 [647]~P38(x6472)+P38(f68(x6471,x6472)) % 5.66/5.57 [648]~P39(x6482)+P39(f68(x6481,x6482)) % 5.66/5.57 [649]~P43(x6492)+P43(f68(x6491,x6492)) % 5.66/5.57 [650]~P41(x6502)+P41(f68(x6501,x6502)) % 5.66/5.57 [651]~P26(x6512)+P26(f68(x6511,x6512)) % 5.66/5.57 [652]~P35(x6522)+P35(f68(x6521,x6522)) % 5.66/5.57 [713]~P25(x7131)+E(f11(x7131,x7132,x7132),f5(x7131)) % 5.66/5.57 [720]~P50(x7201)+P8(x7201,x7202,f5(x7201)) % 5.66/5.57 [721]~P50(x7211)+P8(x7211,f10(x7211),x7212) % 5.66/5.57 [739]P5(a3,x7392,x7391)+E(f17(x7391,x7392),f5(a3)) % 5.66/5.57 [757]~E(x7572,f6(a1,x7571))+E(f12(a1,x7571,x7572),f5(a1)) % 5.66/5.57 [790]~E(f12(a2,x7902,x7901),x7902)+E(x7901,f5(a2)) % 5.66/5.57 [792]~P3(x7922)+P6(a1,f5(a1),f46(x7921,x7922)) % 5.66/5.57 [793]~P3(x7932)+P6(a1,f5(a1),f47(x7931,x7932)) % 5.66/5.57 [794]~P45(x7941)+P5(a1,f5(a1),f21(x7941,x7942)) % 5.66/5.57 [797]~P6(a2,x7972,x7971)+~E(x7971,f5(a2)) % 5.66/5.57 [804]E(x8041,f5(a2))+~E(f12(a2,x8042,x8041),f5(a2)) % 5.66/5.57 [805]E(x8051,f5(a2))+~E(f12(a2,x8051,x8052),f5(a2)) % 5.66/5.57 [837]E(x8371,f6(a1,x8372))+~E(f12(a1,x8372,x8371),f5(a1)) % 5.66/5.57 [905]~P45(x9051)+~P6(a1,f21(x9051,x9052),f5(a1)) % 5.66/5.57 [921]~P5(a2,x9211,x9212)+E(f11(a2,x9211,x9212),f5(a2)) % 5.66/5.57 [928]P5(a2,x9281,x9282)+~E(f11(a2,x9281,x9282),f5(a2)) % 5.66/5.57 [956]~P5(a3,x9562,x9561)+E(f11(a3,x9561,x9562),f17(x9561,x9562)) % 5.66/5.57 [967]~P8(a3,x9671,x9672)+P8(a3,x9671,f6(a3,x9672)) % 5.66/5.57 [968]~P8(a3,x9681,x9682)+P8(a3,f6(a3,x9681),x9682) % 5.66/5.57 [996]P8(a3,x9961,x9962)+~P8(a3,x9961,f6(a3,x9962)) % 5.66/5.57 [997]P8(a3,x9971,x9972)+~P8(a3,f6(a3,x9971),x9972) % 5.66/5.57 [1177]~P8(a2,x11771,x11772)+P8(a2,x11771,f12(a2,x11772,x11771)) % 5.66/5.57 [1186]~P6(a2,x11862,x11861)+P6(a2,f5(a2),f11(a2,x11861,x11862)) % 5.66/5.57 [1187]~P6(a3,x11871,x11872)+P6(a3,f11(a3,x11871,x11872),f5(a3)) % 5.66/5.57 [1188]~P5(a1,x11881,x11882)+P5(a1,f11(a1,x11881,x11882),f5(a1)) % 5.66/5.57 [1254]~P6(a1,f6(a1,x12541),x12542)+P6(a1,f5(a1),f12(a1,x12541,x12542)) % 5.66/5.57 [1255]~P5(a1,f6(a1,x12551),x12552)+P5(a1,f5(a1),f12(a1,x12551,x12552)) % 5.66/5.57 [1256]~P6(a1,x12562,f6(a1,x12561))+P6(a1,f12(a1,x12561,x12562),f5(a1)) % 5.66/5.57 [1257]~P5(a1,x12572,f6(a1,x12571))+P5(a1,f12(a1,x12571,x12572),f5(a1)) % 5.66/5.57 [1283]P8(a2,x12831,x12832)+~P8(a2,x12831,f12(a2,x12832,x12831)) % 5.66/5.57 [1291]P6(a2,x12911,x12912)+~P6(a2,f5(a2),f11(a2,x12912,x12911)) % 5.66/5.57 [1292]P6(a3,x12921,x12922)+~P6(a3,f11(a3,x12921,x12922),f5(a3)) % 5.66/5.57 [1293]P5(a1,x12931,x12932)+~P5(a1,f11(a1,x12931,x12932),f5(a1)) % 5.66/5.57 [1342]P6(a1,x13421,f6(a1,x13422))+~P6(a1,f12(a1,x13422,x13421),f5(a1)) % 5.66/5.57 [1343]P5(a1,x13431,f6(a1,x13432))+~P5(a1,f12(a1,x13432,x13431),f5(a1)) % 5.66/5.57 [1344]P6(a1,f6(a1,x13441),x13442)+~P6(a1,f5(a1),f12(a1,x13441,x13442)) % 5.66/5.57 [1345]P5(a1,f6(a1,x13451),x13452)+~P5(a1,f5(a1),f12(a1,x13451,x13452)) % 5.66/5.57 [668]~P55(x6681)+E(f14(x6681,f14(x6681,x6682)),x6682) % 5.66/5.57 [669]~P25(x6691)+E(f6(x6691,f6(x6691,x6692)),x6692) % 5.66/5.57 [670]~P41(x6701)+E(f6(x6701,f6(x6701,x6702)),x6702) % 5.66/5.57 [700]~P45(x7001)+E(f21(x7001,f6(x7001,x7002)),f21(x7001,x7002)) % 5.66/5.57 [701]~P54(x7011)+E(f13(x7011,f13(x7011,x7012)),f13(x7011,x7012)) % 5.66/5.57 [706]~P14(x7061)+E(f42(f42(f22(x7061),x7062),f10(a2)),x7062) % 5.66/5.57 [707]~P50(x7071)+E(f42(f42(f22(x7071),x7072),f10(a2)),x7072) % 5.66/5.57 [714]~P14(x7141)+E(f42(f42(f9(x7141),x7142),f10(x7141)),x7142) % 5.66/5.57 [715]~P15(x7151)+E(f42(f42(f9(x7151),x7152),f10(x7151)),x7152) % 5.66/5.57 [716]~P50(x7161)+E(f42(f42(f9(x7161),x7162),f10(x7161)),x7162) % 5.66/5.57 [717]~P27(x7171)+E(f42(f42(f22(x7171),x7172),f5(a2)),f10(x7171)) % 5.66/5.57 [718]~P50(x7181)+E(f42(f42(f22(x7181),x7182),f5(a2)),f10(x7181)) % 5.66/5.57 [722]~P23(x7221)+E(f12(x7221,x7222,f5(x7221)),x7222) % 5.66/5.57 [723]~P22(x7231)+E(f12(x7231,x7232,f5(x7231)),x7232) % 5.66/5.57 [724]~P50(x7241)+E(f12(x7241,x7242,f5(x7241)),x7242) % 5.66/5.57 [725]~P25(x7251)+E(f11(x7251,x7252,f5(x7251)),x7252) % 5.66/5.57 [726]~P23(x7261)+E(f12(x7261,f5(x7261),x7262),x7262) % 5.66/5.57 [727]~P22(x7271)+E(f12(x7271,f5(x7271),x7272),x7272) % 5.66/5.57 [728]~P50(x7281)+E(f12(x7281,f5(x7281),x7282),x7282) % 5.66/5.57 [729]~P50(x7291)+E(f24(x7291,f10(x7291),x7292),x7292) % 5.66/5.57 [736]~P3(x7361)+E(f42(f42(f9(x7361),x7362),f5(x7361)),f5(x7361)) % 5.66/5.57 [737]~P65(x7371)+E(f42(f42(f9(x7371),x7372),f5(x7371)),f5(x7371)) % 5.66/5.57 [738]~P50(x7381)+E(f42(f42(f9(x7381),x7382),f5(x7381)),f5(x7381)) % 5.66/5.57 [759]~P51(x7591)+E(f24(x7591,f5(x7591),x7592),f5(f63(x7591))) % 5.66/5.57 [760]~P34(x7601)+E(f16(x7601,f5(x7601),x7602),f5(f63(x7601))) % 5.66/5.57 [767]~P25(x7671)+E(f11(x7671,f5(x7671),x7672),f6(x7671,x7672)) % 5.66/5.57 [769]~E(x7691,x7692)+E(f12(a1,x7691,f6(a1,x7692)),f5(a1)) % 5.66/5.57 [776]~P55(x7761)+E(f14(x7761,f6(x7761,x7762)),f6(x7761,f14(x7761,x7762))) % 5.66/5.57 [777]~P45(x7771)+E(f13(x7771,f6(x7771,x7772)),f6(x7771,f13(x7771,x7772))) % 5.66/5.57 [806]~P25(x8061)+E(f12(x8061,x8062,f6(x8061,x8062)),f5(x8061)) % 5.66/5.57 [807]~P25(x8071)+E(f12(x8071,f6(x8071,x8072),x8072),f5(x8071)) % 5.66/5.57 [808]~P18(x8081)+E(f12(x8081,f6(x8081,x8082),x8082),f5(x8081)) % 5.66/5.57 [898]E(x8981,x8982)+~E(f12(a1,x8981,f6(a1,x8982)),f5(a1)) % 5.66/5.57 [902]E(x9021,x9022)+~E(f42(x9021,f39(x9022,x9021)),f42(x9022,f39(x9022,x9021))) % 5.66/5.57 [938]P6(a2,f5(a2),x9381)+~E(x9381,f12(a2,x9382,f10(a2))) % 5.66/5.57 [969]~P5(a2,x9691,x9692)+E(f12(a2,x9691,f51(x9692,x9691)),x9692) % 5.66/5.57 [970]~P5(a2,x9701,x9702)+E(f12(a2,x9701,f59(x9702,x9701)),x9702) % 5.66/5.57 [973]~E(x9731,x9732)+P6(a2,x9731,f12(a2,x9732,f10(a2))) % 5.66/5.57 [974]~E(x9741,x9742)+P6(a3,x9741,f12(a3,x9742,f10(a3))) % 5.66/5.57 [977]~E(x9771,f5(a2))+P6(a2,x9771,f12(a2,x9772,f10(a2))) % 5.66/5.57 [1024]~P1(x10241)+P6(x10241,x10242,f12(x10241,x10242,f10(x10241))) % 5.66/5.57 [1097]P6(a2,x10972,x10971)+E(f12(a2,x10971,f11(a2,x10972,x10971)),x10972) % 5.66/5.57 [1115]P6(a2,x11151,x11152)+P6(a2,x11152,f12(a2,x11151,f10(a2))) % 5.66/5.57 [1116]P5(a2,x11161,x11162)+P5(a2,f12(a2,x11162,f10(a2)),x11161) % 5.66/5.57 [1182]~P5(a2,x11821,x11822)+E(f12(a2,x11821,f11(a2,x11822,x11821)),x11822) % 5.66/5.57 [1183]~P5(a2,x11832,x11831)+E(f11(a2,x11831,f11(a2,x11831,x11832)),x11832) % 5.66/5.57 [1184]~P5(a2,x11842,x11841)+E(f12(a2,f11(a2,x11841,x11842),x11842),x11841) % 5.66/5.57 [1192]~P5(a2,x11921,x11922)+P6(a2,x11921,f12(a2,x11922,f10(a2))) % 5.66/5.57 [1193]~P6(a3,x11931,x11932)+P6(a3,x11931,f12(a3,x11932,f10(a3))) % 5.66/5.57 [1194]~P5(a3,x11941,x11942)+P6(a3,x11941,f12(a3,x11942,f10(a3))) % 5.66/5.57 [1197]~P6(a3,x11971,x11972)+P5(a3,x11971,f11(a3,x11972,f10(a3))) % 5.66/5.57 [1200]~P6(a2,x12001,x12002)+P5(a2,f12(a2,x12001,f10(a2)),x12002) % 5.66/5.57 [1202]~P6(a3,x12021,x12022)+P5(a3,f12(a3,x12021,f10(a3)),x12022) % 5.66/5.57 [1280]~P6(a2,x12801,x12802)+E(f12(a2,f12(a2,x12801,f55(x12802,x12801)),f10(a2)),x12802) % 5.66/5.57 [1299]P6(a3,x12991,x12992)+~P5(a3,x12991,f11(a3,x12992,f10(a3))) % 5.66/5.57 [1300]P5(a2,x13001,x13002)+~P6(a2,x13001,f12(a2,x13002,f10(a2))) % 5.66/5.57 [1301]P5(a3,x13011,x13012)+~P6(a3,x13011,f12(a3,x13012,f10(a3))) % 5.66/5.57 [1305]P6(a2,x13051,x13052)+~P5(a2,f12(a2,x13051,f10(a2)),x13052) % 5.66/5.57 [1306]P6(a3,x13061,x13062)+~P5(a3,f12(a3,x13061,f10(a3)),x13062) % 5.66/5.57 [1367]~P6(a2,x13671,x13672)+~P6(a2,x13672,f12(a2,x13671,f10(a2))) % 5.66/5.57 [1368]~P5(a2,x13681,x13682)+~P5(a2,f12(a2,x13682,f10(a2)),x13681) % 5.66/5.57 [1574]P6(a2,x15741,x15742)+~P6(a2,f12(a2,x15741,f10(a2)),f12(a2,x15742,f10(a2))) % 5.66/5.57 [1575]P5(a2,x15751,x15752)+~P5(a2,f12(a2,x15751,f10(a2)),f12(a2,x15752,f10(a2))) % 5.66/5.57 [676]~E(x6762,f5(a2))+E(f42(f42(f9(a2),x6761),x6762),f5(a2)) % 5.66/5.57 [678]~E(x6781,f5(a2))+E(f42(f42(f9(a2),x6781),x6782),f5(a2)) % 5.66/5.57 [679]~E(x6792,f5(a2))+E(f42(f42(f22(a2),x6791),x6792),f10(a2)) % 5.66/5.57 [696]~P42(x6961)+E(f42(f42(f9(x6961),x6962),x6962),x6962) % 5.66/5.57 [745]~P14(x7451)+E(f42(f42(f9(x7451),f10(x7451)),x7452),x7452) % 5.66/5.57 [746]~P15(x7461)+E(f42(f42(f9(x7461),f10(x7461)),x7462),x7462) % 5.66/5.57 [747]~P50(x7471)+E(f42(f42(f9(x7471),f10(x7471)),x7472),x7472) % 5.66/5.57 [753]~P3(x7531)+E(f42(f42(f9(x7531),f5(x7531)),x7532),f5(x7531)) % 5.66/5.57 [754]~P65(x7541)+E(f42(f42(f9(x7541),f5(x7541)),x7542),f5(x7541)) % 5.66/5.57 [755]~P50(x7551)+E(f42(f42(f9(x7551),f5(x7551)),x7552),f5(x7551)) % 5.66/5.57 [756]~P14(x7561)+E(f42(f42(f22(x7561),f10(x7561)),x7562),f10(x7561)) % 5.66/5.57 [765]E(x7651,f10(a2))+~E(f42(f42(f9(a2),x7652),x7651),f10(a2)) % 5.66/5.57 [766]E(x7661,f10(a2))+~E(f42(f42(f9(a2),x7661),x7662),f10(a2)) % 5.66/5.57 [773]~P22(x7731)+E(f12(f63(x7731),x7732,f5(f63(x7731))),x7732) % 5.66/5.57 [774]~P18(x7741)+E(f11(f63(x7741),x7742,f5(f63(x7741))),x7742) % 5.66/5.57 [775]~P22(x7751)+E(f12(f63(x7751),f5(f63(x7751)),x7752),x7752) % 5.66/5.57 [800]~P51(x8001)+E(f24(x8001,x8002,f5(f63(x8001))),f5(f63(x8001))) % 5.66/5.57 [801]~P51(x8011)+E(f25(x8011,f5(f63(x8011)),x8012),f5(f63(x8011))) % 5.66/5.57 [802]~P51(x8021)+E(f20(x8021,f5(f63(x8021)),x8022),f5(f63(x8021))) % 5.66/5.57 [844]~P18(x8441)+E(f11(f63(x8441),f5(f63(x8441)),x8442),f6(f63(x8441),x8442)) % 5.66/5.57 [861]~E(x8612,f5(a2))+E(f42(f42(f22(a2),x8611),x8612),f12(a2,f5(a2),f10(a2))) % 5.66/5.57 [863]~P51(x8631)+E(f42(f42(f9(f63(x8631)),x8632),f5(f63(x8631))),f5(f63(x8631))) % 5.66/5.57 [916]~P34(x9161)+E(f18(x9161,x9162,f5(f63(x9161))),f16(x9161,x9162,f5(a2))) % 5.66/5.57 [965]~E(x9652,f5(a2))+P6(a2,f5(a2),f42(f42(f22(a2),x9651),x9652)) % 5.66/5.57 [994]~P53(x9941)+P5(x9941,f5(x9941),f42(f42(f9(x9941),x9942),x9942)) % 5.66/5.57 [1070]~E(x10701,f12(a2,f5(a2),f10(a2)))+E(f42(f42(f22(a2),x10701),x10702),f12(a2,f5(a2),f10(a2))) % 5.66/5.57 [1129]E(x11291,f12(a2,f5(a2),f10(a2)))+~E(f42(f42(f9(a2),x11292),x11291),f12(a2,f5(a2),f10(a2))) % 5.66/5.57 [1130]E(x11301,f12(a2,f5(a2),f10(a2)))+~E(f42(f42(f9(a2),x11301),x11302),f12(a2,f5(a2),f10(a2))) % 5.66/5.57 [1156]~P6(a2,f5(a2),x11561)+P6(a2,f5(a2),f42(f42(f22(a2),x11561),x11562)) % 5.66/5.57 [1157]~P5(a3,f5(a3),x11571)+P5(a3,f5(a3),f42(f42(f22(a3),x11571),x11572)) % 5.66/5.57 [1226]~P53(x12261)+~P6(x12261,f42(f42(f9(x12261),x12262),x12262),f5(x12261)) % 5.66/5.57 [1263]P6(a2,f5(a2),x12631)+~P6(a2,f5(a2),f42(f42(f9(a2),x12632),x12631)) % 5.66/5.57 [1264]P6(a2,f5(a2),x12641)+~P6(a2,f5(a2),f42(f42(f9(a2),x12641),x12642)) % 5.66/5.57 [1662]~P72(x16621)+E(f42(f42(f9(x16621),f12(x16621,x16622,f10(x16621))),f11(x16621,x16622,f10(x16621))),f11(x16621,f42(f42(f9(x16621),x16622),x16622),f10(x16621))) % 5.66/5.57 [785]~P51(x7851)+E(f42(f15(x7851,f5(f63(x7851))),x7852),f5(x7851)) % 5.66/5.57 [786]~P50(x7861)+E(f42(f15(x7861,f10(f63(x7861))),x7862),f10(x7861)) % 5.66/5.57 [903]~P51(x9031)+E(f42(f42(f9(f63(x9031)),f5(f63(x9031))),x9032),f5(f63(x9031))) % 5.66/5.57 [944]~P48(x9441)+E(f42(f42(f9(x9441),f6(x9441,f10(x9441))),x9442),f6(x9441,x9442)) % 5.66/5.57 [1439]E(x14391,f5(a1))+~E(f12(a1,f42(f42(f9(a1),x14392),x14392),f42(f42(f9(a1),x14391),x14391)),f5(a1)) % 5.66/5.57 [1440]E(x14401,f5(a1))+~E(f12(a1,f42(f42(f9(a1),x14401),x14401),f42(f42(f9(a1),x14402),x14402)),f5(a1)) % 5.66/5.57 [1442]~P50(x14421)+E(f12(x14421,x14422,x14422),f42(f42(f9(x14421),f12(x14421,f10(x14421),f10(x14421))),x14422)) % 5.66/5.57 [1466]E(x14661,f5(a2))+E(f42(f42(f9(a2),x14662),f42(f42(f22(a2),x14662),f11(a2,x14661,f10(a2)))),f42(f42(f22(a2),x14662),x14661)) % 5.66/5.57 [1683]E(x16831,f5(a2))+E(f12(a2,x16832,f42(f42(f9(a2),f11(a2,x16831,f10(a2))),x16832)),f42(f42(f9(a2),x16831),x16832)) % 5.66/5.57 [872]~P50(x8721)+E(f12(x8721,x8722,x8723),f12(x8721,x8723,x8722)) % 5.66/5.57 [918]P5(a2,x9181,x9182)+~E(x9182,f12(a2,x9181,x9183)) % 5.66/5.57 [975]E(x9751,x9752)+~E(f12(a2,x9753,x9751),f12(a2,x9753,x9752)) % 5.66/5.57 [976]E(x9761,x9762)+~E(f12(a2,x9761,x9763),f12(a2,x9762,x9763)) % 5.66/5.57 [1170]~P6(a2,x11701,x11703)+P6(a2,x11701,f12(a2,x11702,x11703)) % 5.66/5.57 [1172]~P6(a2,x11721,x11722)+P6(a2,x11721,f12(a2,x11722,x11723)) % 5.66/5.57 [1174]~P5(a2,x11741,x11743)+P5(a2,x11741,f12(a2,x11742,x11743)) % 5.66/5.57 [1176]~P5(a2,x11761,x11762)+P5(a2,x11761,f12(a2,x11762,x11763)) % 5.66/5.57 [1178]~P6(a2,x11781,x11783)+P6(a2,f11(a2,x11781,x11782),x11783) % 5.66/5.57 [1211]~P6(a1,f5(a1),x12113)+P6(a1,f5(a1),f49(x12111,x12112,x12113)) % 5.66/5.57 [1284]P6(a2,x12841,x12842)+~P6(a2,f12(a2,x12841,x12843),x12842) % 5.66/5.57 [1287]P5(a2,x12871,x12872)+~P5(a2,f12(a2,x12873,x12871),x12872) % 5.66/5.57 [1288]P5(a2,x12881,x12882)+~P5(a2,f12(a2,x12881,x12883),x12882) % 5.66/5.57 [1373]~P6(a2,x13732,x13733)+P6(a2,f12(a2,x13731,x13732),f12(a2,x13731,x13733)) % 5.66/5.57 [1374]~P6(a2,x13741,x13743)+P6(a2,f12(a2,x13741,x13742),f12(a2,x13743,x13742)) % 5.66/5.57 [1375]~P6(a3,x13751,x13753)+P6(a3,f12(a3,x13751,x13752),f12(a3,x13753,x13752)) % 5.66/5.57 [1376]~P5(a1,x13762,x13763)+P5(a1,f12(a1,x13761,x13762),f12(a1,x13761,x13763)) % 5.66/5.57 [1377]~P5(a2,x13772,x13773)+P5(a2,f12(a2,x13771,x13772),f12(a2,x13771,x13773)) % 5.66/5.57 [1378]~P5(a2,x13781,x13783)+P5(a2,f12(a2,x13781,x13782),f12(a2,x13783,x13782)) % 5.66/5.57 [1379]~P5(a2,x13793,x13792)+P5(a2,f11(a2,x13791,x13792),f11(a2,x13791,x13793)) % 5.66/5.57 [1380]~P5(a2,x13801,x13803)+P5(a2,f11(a2,x13801,x13802),f11(a2,x13803,x13802)) % 5.66/5.57 [1381]~P5(a3,x13812,x13813)+P5(a3,f12(a3,x13811,x13812),f12(a3,x13811,x13813)) % 5.66/5.57 [1462]~P6(a2,f12(a2,x14621,x14623),x14622)+P6(a2,x14621,f11(a2,x14622,x14623)) % 5.66/5.57 [1463]~P5(a2,f11(a2,x14631,x14633),x14632)+P5(a2,x14631,f12(a2,x14632,x14633)) % 5.66/5.57 [1464]~P6(a2,x14641,f11(a2,x14643,x14642))+P6(a2,f12(a2,x14641,x14642),x14643) % 5.66/5.57 [1465]~P5(a2,x14651,f12(a2,x14653,x14652))+P5(a2,f11(a2,x14651,x14652),x14653) % 5.66/5.57 [1563]P6(a2,x15631,x15632)+~P6(a2,f12(a2,x15633,x15631),f12(a2,x15633,x15632)) % 5.66/5.57 [1564]P5(a2,x15641,x15642)+~P5(a2,f12(a2,x15643,x15641),f12(a2,x15643,x15642)) % 5.66/5.57 [880]P7(x8801,x8802,x8803)+~E(f42(x8803,f57(x8803)),f42(x8803,f58(x8803))) % 5.66/5.57 [930]~P25(x9301)+E(f12(x9301,x9302,f6(x9301,x9303)),f11(x9301,x9302,x9303)) % 5.66/5.57 [931]~P18(x9311)+E(f12(x9311,x9312,f6(x9311,x9313)),f11(x9311,x9312,x9313)) % 5.66/5.57 [932]~P48(x9321)+E(f12(x9321,x9322,f6(x9321,x9323)),f11(x9321,x9322,x9323)) % 5.66/5.57 [933]~P25(x9331)+E(f11(x9331,x9332,f6(x9331,x9333)),f12(x9331,x9332,x9333)) % 5.66/5.57 [980]~P25(x9801)+E(f12(x9801,f11(x9801,x9802,x9803),x9803),x9802) % 5.66/5.57 [981]~P25(x9811)+E(f11(x9811,f12(x9811,x9812,x9813),x9813),x9812) % 5.66/5.57 [1029]~P18(x10291)+E(f6(x10291,f11(x10291,x10292,x10293)),f11(x10291,x10293,x10292)) % 5.66/5.57 [1068]~P25(x10681)+E(f12(x10681,f6(x10681,x10682),f12(x10681,x10682,x10683)),x10683) % 5.66/5.57 [1103]~P49(x11031)+E(f6(f63(x11031),f24(x11031,x11032,x11033)),f24(x11031,f6(x11031,x11032),x11033)) % 5.66/5.57 [1104]~P18(x11041)+E(f6(f63(x11041),f16(x11041,x11042,x11043)),f16(x11041,f6(x11041,x11042),x11043)) % 5.66/5.57 [1143]~P25(x11431)+E(f12(x11431,f6(x11431,x11432),f6(x11431,x11433)),f6(x11431,f12(x11431,x11433,x11432))) % 5.66/5.57 [1144]~P18(x11441)+E(f12(x11441,f6(x11441,x11442),f6(x11441,x11443)),f6(x11441,f12(x11441,x11442,x11443))) % 5.66/5.57 [1145]~P18(x11451)+E(f11(x11451,f6(x11451,x11452),f6(x11451,x11453)),f6(x11451,f11(x11451,x11452,x11453))) % 5.66/5.57 [1207]~P45(x12071)+E(f21(x12071,f11(x12071,x12072,x12073)),f21(x12071,f11(x12071,x12073,x12072))) % 5.66/5.57 [1296]P6(a2,x12961,x12962)+~E(x12962,f12(a2,f12(a2,x12961,x12963),f10(a2))) % 5.66/5.57 [1457]~P5(a2,x14572,x14573)+E(f11(a2,f12(a2,x14571,x14572),x14573),f11(a2,x14571,f11(a2,x14573,x14572))) % 5.66/5.57 [1458]~P5(a2,x14583,x14582)+E(f12(a2,x14581,f11(a2,x14582,x14583)),f11(a2,f12(a2,x14581,x14582),x14583)) % 5.66/5.57 [1460]~P5(a2,x14602,x14601)+E(f12(a2,f11(a2,x14601,x14602),x14603),f11(a2,f12(a2,x14601,x14603),x14602)) % 5.66/5.57 [1529]~P5(a2,x15293,x15292)+P5(a2,x15291,f11(a2,f12(a2,x15292,x15291),x15293)) % 5.66/5.57 [1596]~P45(x15961)+P5(a1,f21(x15961,f12(x15961,x15962,x15963)),f12(a1,f21(x15961,x15962),f21(x15961,x15963))) % 5.66/5.57 [1597]~P45(x15971)+P5(a1,f21(x15971,f11(x15971,x15972,x15973)),f12(a1,f21(x15971,x15972),f21(x15971,x15973))) % 5.66/5.57 [1598]~P45(x15981)+P5(a1,f11(a1,f21(x15981,x15982),f21(x15981,x15983)),f21(x15981,f12(x15981,x15982,x15983))) % 5.66/5.57 [1599]~P45(x15991)+P5(a1,f11(a1,f21(x15991,x15992),f21(x15991,x15993)),f21(x15991,f11(x15991,x15992,x15993))) % 5.66/5.57 [1772]~P57(x17721)+P8(f63(x17721),f42(f42(f22(f63(x17721)),f18(x17721,f6(x17721,x17722),f18(x17721,f10(x17721),f5(f63(x17721))))),f19(x17721,x17722,x17723)),x17723) % 5.66/5.57 [830]~E(x8302,f5(a2))+E(f42(f42(f9(a2),x8301),x8302),f42(f42(f9(a2),x8303),x8302)) % 5.66/5.57 [832]~E(x8321,f5(a2))+E(f42(f42(f9(a2),x8321),x8322),f42(f42(f9(a2),x8321),x8323)) % 5.66/5.57 [862]~P50(x8621)+E(f42(f42(f9(x8621),x8622),x8623),f42(f42(f9(x8621),x8623),x8622)) % 5.66/5.57 [971]~P50(x9711)+P8(x9711,x9712,f42(f42(f9(x9711),x9713),x9712)) % 5.66/5.57 [972]~P50(x9721)+P8(x9721,x9722,f42(f42(f9(x9721),x9722),x9723)) % 5.66/5.57 [1043]~P71(x10431)+E(f42(f42(f9(x10431),f6(x10431,x10432)),x10433),f42(f42(f9(x10431),x10432),f6(x10431,x10433))) % 5.66/5.57 [1044]~P71(x10441)+E(f42(f42(f9(x10441),f6(x10441,x10442)),f6(x10441,x10443)),f42(f42(f9(x10441),x10442),x10443)) % 5.66/5.57 [1124]~P25(x11241)+E(f12(x11241,x11242,f12(x11241,f6(x11241,x11242),x11243)),x11243) % 5.66/5.57 [1133]~P49(x11331)+E(f24(x11331,x11332,f6(f63(x11331),x11333)),f6(f63(x11331),f24(x11331,x11332,x11333))) % 5.66/5.57 [1164]~E(x11641,f5(a2))+P8(a2,f42(f42(f9(a2),x11641),x11642),f42(f42(f9(a2),x11641),x11643)) % 5.66/5.57 [1213]~P18(x12131)+E(f18(x12131,f6(x12131,x12132),f6(f63(x12131),x12133)),f6(f63(x12131),f18(x12131,x12132,x12133))) % 5.66/5.57 [1267]P6(a2,f5(a2),x12671)+P5(a2,f42(f42(f9(a2),x12672),x12671),f42(f42(f9(a2),x12673),x12671)) % 5.66/5.57 [1268]P6(a2,f5(a2),x12681)+P5(a2,f42(f42(f9(a2),x12681),x12682),f42(f42(f9(a2),x12681),x12683)) % 5.66/5.57 [1315]~P5(a2,x13152,x13153)+P5(a2,f42(f42(f9(a2),x13151),x13152),f42(f42(f9(a2),x13151),x13153)) % 5.66/5.57 [1317]~P5(a2,x13171,x13173)+P5(a2,f42(f42(f9(a2),x13171),x13172),f42(f42(f9(a2),x13173),x13172)) % 5.66/5.57 [1318]~P8(a2,x13182,x13183)+P8(a2,f42(f42(f9(a2),x13181),x13182),f42(f42(f9(a2),x13181),x13183)) % 5.66/5.57 [1489]P6(a2,x14891,x14892)+~P6(a2,f42(f42(f9(a2),x14893),x14891),f42(f42(f9(a2),x14893),x14892)) % 5.66/5.57 [1490]P6(a2,x14901,x14902)+~P6(a2,f42(f42(f9(a2),x14901),x14903),f42(f42(f9(a2),x14902),x14903)) % 5.66/5.57 [1494]P6(a2,f5(a2),x14941)+~P6(a2,f42(f42(f9(a2),x14942),x14941),f42(f42(f9(a2),x14943),x14941)) % 5.66/5.57 [1495]P6(a2,f5(a2),x14951)+~P6(a2,f42(f42(f9(a2),x14951),x14952),f42(f42(f9(a2),x14951),x14953)) % 5.66/5.57 [1672]~P51(x16721)+E(f18(x16721,f42(f15(x16721,x16722),x16723),f25(x16721,x16722,x16723)),f12(f63(x16721),x16722,f24(x16721,x16723,f25(x16721,x16722,x16723)))) % 5.66/5.57 [1077]~P71(x10771)+E(f42(f42(f9(x10771),x10772),f6(x10771,x10773)),f6(x10771,f42(f42(f9(x10771),x10772),x10773))) % 5.66/5.57 [1079]~P3(x10791)+E(f42(f42(f9(x10791),x10792),f6(x10791,x10793)),f6(x10791,f42(f42(f9(x10791),x10792),x10793))) % 5.66/5.57 [1102]~P42(x11021)+E(f42(f42(f9(x11021),x11022),f42(f42(f9(x11021),x11022),x11023)),f42(f42(f9(x11021),x11022),x11023)) % 5.66/5.57 [1114]~P49(x11141)+E(f42(f15(x11141,f6(f63(x11141),x11142)),x11143),f6(x11141,f42(f15(x11141,x11142),x11143))) % 5.66/5.57 [1125]~P2(x11251)+E(f21(x11251,f42(f42(f22(x11251),x11252),x11253)),f42(f42(f22(a1),f21(x11251,x11252)),x11253)) % 5.66/5.57 [1134]~P55(x11341)+E(f42(f42(f22(x11341),f14(x11341,x11342)),x11343),f14(x11341,f42(f42(f22(x11341),x11342),x11343))) % 5.66/5.57 [1135]~P71(x11351)+E(f42(f42(f9(x11351),f6(x11351,x11352)),x11353),f6(x11351,f42(f42(f9(x11351),x11352),x11353))) % 5.66/5.57 [1137]~P3(x11371)+E(f42(f42(f9(x11371),f6(x11371,x11372)),x11373),f6(x11371,f42(f42(f9(x11371),x11372),x11373))) % 5.66/5.57 [1203]~P2(x12031)+E(f42(f42(f9(a1),f21(x12031,x12032)),f21(x12031,x12033)),f21(x12031,f42(f42(f9(x12031),x12032),x12033))) % 5.66/5.57 [1216]~P13(x12161)+E(f42(f42(f9(x12161),f14(x12161,x12162)),f14(x12161,x12163)),f14(x12161,f42(f42(f9(x12161),x12162),x12163))) % 5.66/5.57 [1217]~P2(x12171)+E(f42(f42(f9(x12171),f13(x12171,x12172)),f13(x12171,x12173)),f13(x12171,f42(f42(f9(x12171),x12172),x12173))) % 5.66/5.57 [1218]~P54(x12181)+E(f42(f42(f9(x12181),f13(x12181,x12182)),f13(x12181,x12183)),f13(x12181,f42(f42(f9(x12181),x12182),x12183))) % 5.66/5.57 [1327]~P27(x13271)+E(f42(f42(f9(x13271),x13272),f42(f42(f22(x13271),x13272),x13273)),f42(f42(f22(x13271),x13272),f12(a2,x13273,f10(a2)))) % 5.66/5.57 [1328]~P50(x13281)+E(f42(f42(f9(x13281),x13282),f42(f42(f22(x13281),x13282),x13283)),f42(f42(f22(x13281),x13282),f12(a2,x13283,f10(a2)))) % 5.66/5.57 [1493]~P8(a3,x14931,x14932)+P8(a3,x14931,f12(a3,x14932,f42(f42(f9(a3),x14931),x14933))) % 5.66/5.57 [1554]~P50(x15541)+E(f12(x15541,x15542,f42(f42(f9(x15541),x15543),x15542)),f42(f42(f9(x15541),f12(x15541,x15543,f10(x15541))),x15542)) % 5.66/5.57 [1555]~P50(x15551)+E(f12(x15551,f42(f42(f9(x15551),x15552),x15553),x15553),f42(f42(f9(x15551),f12(x15551,x15552,f10(x15551))),x15553)) % 5.66/5.57 [1584]~P44(x15841)+P5(a1,f21(x15841,f42(f42(f22(x15841),x15842),x15843)),f42(f42(f22(a1),f21(x15841,x15842)),x15843)) % 5.66/5.57 [1632]~P3(x16321)+P5(a1,f21(x16321,f42(f42(f9(x16321),x16322),x16323)),f42(f42(f9(a1),f21(x16321,x16323)),f47(x16322,x16321))) % 5.66/5.57 [1633]~P3(x16331)+P5(a1,f21(x16331,f42(f42(f9(x16331),x16332),x16333)),f42(f42(f9(a1),f21(x16331,x16332)),f21(x16331,x16333))) % 5.66/5.57 [1634]~P3(x16341)+P5(a1,f21(x16341,f42(f42(f9(x16341),x16342),x16343)),f42(f42(f9(a1),f21(x16341,x16342)),f46(x16343,x16341))) % 5.66/5.57 [1663]P8(a3,x16631,x16632)+~P8(a3,x16631,f12(a3,x16632,f42(f42(f9(a3),x16631),x16633))) % 5.66/5.57 [1664]~P53(x16641)+P5(x16641,f5(x16641),f12(x16641,f42(f42(f9(x16641),x16642),x16642),f42(f42(f9(x16641),x16643),x16643))) % 5.66/5.57 [1704]~P72(x17041)+E(f42(f42(f9(x17041),f42(f42(f22(x17041),f6(x17041,f10(x17041))),x17042)),f42(f42(f22(x17041),x17043),x17042)),f42(f42(f22(x17041),f6(x17041,x17043)),x17042)) % 5.66/5.57 [1711]E(x17111,x17112)+~E(f42(f42(f9(a2),f12(a2,x17113,f10(a2))),x17111),f42(f42(f9(a2),f12(a2,x17113,f10(a2))),x17112)) % 5.66/5.57 [1716]~P53(x17161)+~P6(x17161,f12(x17161,f42(f42(f9(x17161),x17162),x17162),f42(f42(f9(x17161),x17163),x17163)),f5(x17161)) % 5.66/5.57 [1738]~P6(a2,x17382,x17383)+P6(a2,f42(f42(f9(a2),f12(a2,x17381,f10(a2))),x17382),f42(f42(f9(a2),f12(a2,x17381,f10(a2))),x17383)) % 5.66/5.57 [1749]~P3(x17491)+P5(a1,f21(x17491,f42(f42(f9(x17491),x17492),x17493)),f42(f42(f9(a1),f42(f42(f9(a1),f21(x17491,x17492)),f21(x17491,x17493))),f45(x17491))) % 5.66/5.57 [1757]P5(a2,x17571,x17572)+~P5(a2,f42(f42(f9(a2),f12(a2,x17573,f10(a2))),x17571),f42(f42(f9(a2),f12(a2,x17573,f10(a2))),x17572)) % 5.66/5.57 [1782]~P48(x17821)+E(f12(f63(x17821),f42(f42(f9(f63(x17821)),f18(x17821,f6(x17821,x17822),f18(x17821,f10(x17821),f5(f63(x17821))))),f25(x17821,x17823,x17822)),f18(x17821,f42(f15(x17821,x17823),x17822),f5(f63(x17821)))),x17823) % 5.66/5.57 [1488]~P14(x14881)+E(f42(f42(f9(x14881),f42(f42(f22(x14881),x14882),x14883)),x14882),f42(f42(f9(x14881),x14882),f42(f42(f22(x14881),x14882),x14883))) % 5.66/5.57 [1504]~P14(x15041)+E(f42(f42(f9(x15041),f42(f42(f22(x15041),x15042),x15043)),x15042),f42(f42(f22(x15041),x15042),f12(a2,x15043,f10(a2)))) % 5.66/5.58 [1505]~P50(x15051)+E(f42(f42(f9(x15051),f42(f42(f22(x15051),x15052),x15053)),x15052),f42(f42(f22(x15051),x15052),f12(a2,x15053,f10(a2)))) % 5.66/5.58 [1347]~P50(x13471)+E(f12(x13471,x13472,f12(x13471,x13473,x13474)),f12(x13471,x13473,f12(x13471,x13472,x13474))) % 5.66/5.58 [1349]~P17(x13491)+E(f12(x13491,f12(x13491,x13492,x13493),x13494),f12(x13491,x13492,f12(x13491,x13493,x13494))) % 5.66/5.58 [1350]~P50(x13501)+E(f12(x13501,f12(x13501,x13502,x13503),x13504),f12(x13501,x13502,f12(x13501,x13503,x13504))) % 5.66/5.58 [1351]~P50(x13511)+E(f12(x13511,f12(x13511,x13512,x13513),x13514),f12(x13511,f12(x13511,x13512,x13514),x13513)) % 5.66/5.58 [1482]~P51(x14821)+E(f25(x14821,f18(x14821,x14822,x14823),x14824),f18(x14821,f42(f15(x14821,x14823),x14824),f25(x14821,x14823,x14824))) % 5.66/5.58 [1513]~P51(x15131)+E(f18(x15131,f42(f42(f9(x15131),x15132),x15133),f24(x15131,x15132,x15134)),f24(x15131,x15132,f18(x15131,x15133,x15134))) % 5.66/5.58 [1517]~P51(x15171)+E(f12(f63(x15171),f24(x15171,x15172,x15173),f24(x15171,x15174,x15173)),f24(x15171,f12(x15171,x15172,x15174),x15173)) % 5.66/5.58 [1518]~P49(x15181)+E(f11(f63(x15181),f24(x15181,x15182,x15183),f24(x15181,x15184,x15183)),f24(x15181,f11(x15181,x15182,x15184),x15183)) % 5.66/5.58 [1519]~P22(x15191)+E(f12(f63(x15191),f16(x15191,x15192,x15193),f16(x15191,x15194,x15193)),f16(x15191,f12(x15191,x15192,x15194),x15193)) % 5.66/5.58 [1520]~P18(x15201)+E(f11(f63(x15201),f16(x15201,x15202,x15203),f16(x15201,x15204,x15203)),f16(x15201,f11(x15201,x15202,x15204),x15203)) % 5.66/5.58 [919]~P35(x9192)+E(f42(f6(f68(x9191,x9192),x9193),x9194),f6(x9192,f42(x9193,x9194))) % 5.66/5.58 [1443]~P51(x14431)+E(f42(f15(x14431,x14432),f42(f15(x14431,x14433),x14434)),f42(f15(x14431,f20(x14431,x14432,x14433)),x14434)) % 5.66/5.58 [1453]~P51(x14531)+E(f42(f42(f9(x14531),x14532),f42(f15(x14531,x14533),x14534)),f42(f15(x14531,f24(x14531,x14532,x14533)),x14534)) % 5.66/5.58 [1557]~P51(x15571)+E(f12(f63(x15571),f24(x15571,x15572,x15573),f24(x15571,x15572,x15574)),f24(x15571,x15572,f12(f63(x15571),x15573,x15574))) % 5.66/5.58 [1558]~P49(x15581)+E(f11(f63(x15581),f24(x15581,x15582,x15583),f24(x15581,x15582,x15584)),f24(x15581,x15582,f11(f63(x15581),x15583,x15584))) % 5.66/5.58 [1700]~P51(x17001)+E(f12(f63(x17001),f18(x17001,x17002,f5(f63(x17001))),f42(f42(f9(f63(x17001)),x17003),f20(x17001,x17004,x17003))),f20(x17001,f18(x17001,x17002,x17004),x17003)) % 5.66/5.58 [1313]~P50(x13131)+E(f42(f42(f9(x13131),x13132),f42(f42(f9(x13131),x13133),x13134)),f42(f42(f9(x13131),x13133),f42(f42(f9(x13131),x13132),x13134))) % 5.66/5.58 [1333]~P51(x13331)+E(f24(x13331,f42(f42(f9(x13331),x13332),x13333),x13334),f24(x13331,x13332,f24(x13331,x13333,x13334))) % 5.66/5.58 [1334]~P51(x13341)+E(f16(x13341,f42(f42(f9(x13341),x13342),x13343),x13344),f24(x13341,x13342,f16(x13341,x13343,x13344))) % 5.66/5.58 [1484]~P50(x14841)+E(f42(f42(f9(x14841),x14842),f42(f42(f22(x14841),x14843),x14844)),f42(f15(x14841,f16(x14841,x14842,x14844)),x14843)) % 5.66/5.58 [1500]~P3(x15001)+E(f12(x15001,f42(f42(f9(x15001),x15002),x15003),f42(f42(f9(x15001),x15002),x15004)),f42(f42(f9(x15001),x15002),f12(x15001,x15003,x15004))) % 5.66/5.58 [1501]~P50(x15011)+E(f12(x15011,f42(f42(f9(x15011),x15012),x15013),f42(f42(f9(x15011),x15012),x15014)),f42(f42(f9(x15011),x15012),f12(x15011,x15013,x15014))) % 5.66/5.58 [1503]~P3(x15031)+E(f11(x15031,f42(f42(f9(x15031),x15032),x15033),f42(f42(f9(x15031),x15032),x15034)),f42(f42(f9(x15031),x15032),f11(x15031,x15033,x15034))) % 5.66/5.58 [1593]~P51(x15931)+E(f12(x15931,f42(f15(x15931,x15932),x15933),f42(f15(x15931,x15934),x15933)),f42(f15(x15931,f12(f63(x15931),x15932,x15934)),x15933)) % 5.66/5.58 [1594]~P49(x15941)+E(f11(x15941,f42(f15(x15941,x15942),x15943),f42(f15(x15941,x15944),x15943)),f42(f15(x15941,f11(f63(x15941),x15942,x15944)),x15943)) % 5.66/5.58 [1615]~P14(x16151)+E(f42(f42(f9(x16151),f42(f42(f22(x16151),x16152),x16153)),f42(f42(f22(x16151),x16152),x16154)),f42(f42(f22(x16151),x16152),f12(a2,x16153,x16154))) % 5.66/5.58 [1616]~P50(x16161)+E(f42(f42(f9(x16161),f42(f42(f22(x16161),x16162),x16163)),f42(f42(f22(x16161),x16162),x16164)),f42(f42(f22(x16161),x16162),f12(a2,x16163,x16164))) % 5.66/5.58 [1626]~P3(x16261)+E(f12(x16261,f42(f42(f9(x16261),x16262),x16263),f42(f42(f9(x16261),x16264),x16263)),f42(f42(f9(x16261),f12(x16261,x16262,x16264)),x16263)) % 5.66/5.58 [1627]~P47(x16271)+E(f12(x16271,f42(f42(f9(x16271),x16272),x16273),f42(f42(f9(x16271),x16274),x16273)),f42(f42(f9(x16271),f12(x16271,x16272,x16274)),x16273)) % 5.66/5.58 [1630]~P3(x16301)+E(f11(x16301,f42(f42(f9(x16301),x16302),x16303),f42(f42(f9(x16301),x16304),x16303)),f42(f42(f9(x16301),f11(x16301,x16302,x16304)),x16303)) % 5.66/5.58 [1631]~P50(x16311)+E(f12(x16311,f42(f42(f9(x16311),x16312),x16313),f42(f42(f9(x16311),x16314),x16313)),f42(f42(f9(x16311),f12(x16311,x16312,x16314)),x16313)) % 5.66/5.58 [1661]~P51(x16611)+E(f12(x16611,x16612,f42(f42(f9(x16611),x16613),f42(f15(x16611,x16614),x16613))),f42(f15(x16611,f18(x16611,x16612,x16614)),x16613)) % 5.66/5.58 [1454]~P51(x14541)+E(f24(x14541,x14542,f42(f42(f9(f63(x14541)),x14543),x14544)),f42(f42(f9(f63(x14541)),x14543),f24(x14541,x14542,x14544))) % 5.66/5.58 [1479]~P50(x14791)+E(f42(f42(f22(x14791),f42(f42(f22(x14791),x14792),x14793)),x14794),f42(f42(f22(x14791),x14792),f42(f42(f9(a2),x14793),x14794))) % 5.66/5.58 [1480]~P14(x14801)+E(f42(f42(f22(x14801),f42(f42(f22(x14801),x14802),x14803)),x14804),f42(f42(f22(x14801),x14802),f42(f42(f9(a2),x14803),x14804))) % 5.66/5.58 [1486]~P16(x14861)+E(f42(f42(f9(x14861),f42(f42(f9(x14861),x14862),x14863)),x14864),f42(f42(f9(x14861),x14862),f42(f42(f9(x14861),x14863),x14864))) % 5.66/5.58 [1487]~P50(x14871)+E(f42(f42(f9(x14871),f42(f42(f9(x14871),x14872),x14873)),x14874),f42(f42(f9(x14871),x14872),f42(f42(f9(x14871),x14873),x14874))) % 5.66/5.58 [1595]~P51(x15951)+E(f24(x15951,x15952,f42(f42(f9(f63(x15951)),x15953),x15954)),f42(f42(f9(f63(x15951)),f24(x15951,x15952,x15953)),x15954)) % 5.66/5.58 [1614]~P50(x16141)+E(f42(f42(f9(x16141),f42(f42(f9(x16141),x16142),x16143)),x16144),f42(f42(f9(x16141),f42(f42(f9(x16141),x16142),x16144)),x16143)) % 5.66/5.58 [1670]~P15(x16701)+E(f42(f42(f9(x16701),f42(f42(f22(x16701),x16702),x16703)),f42(f42(f22(x16701),x16704),x16703)),f42(f42(f22(x16701),f42(f42(f9(x16701),x16702),x16704)),x16703)) % 5.66/5.58 [1671]~P50(x16711)+E(f42(f42(f9(x16711),f42(f42(f22(x16711),x16712),x16713)),f42(f42(f22(x16711),x16714),x16713)),f42(f42(f22(x16711),f42(f42(f9(x16711),x16712),x16714)),x16713)) % 5.66/5.58 [1695]~P51(x16951)+E(f12(f63(x16951),f42(f42(f9(f63(x16951)),x16952),x16953),f42(f42(f9(f63(x16951)),x16954),x16953)),f42(f42(f9(f63(x16951)),f12(f63(x16951),x16952,x16954)),x16953)) % 5.66/5.58 [1642]~P50(x16421)+E(f42(f15(x16421,f42(f42(f22(f63(x16421)),x16422),x16423)),x16424),f42(f42(f22(x16421),f42(f15(x16421,x16422),x16424)),x16423)) % 5.66/5.58 [1684]~P51(x16841)+E(f42(f42(f9(x16841),f42(f15(x16841,x16842),x16843)),f42(f15(x16841,x16844),x16843)),f42(f15(x16841,f42(f42(f9(f63(x16841)),x16842),x16844)),x16843)) % 5.66/5.58 [1705]~P51(x17051)+E(f12(f63(x17051),f24(x17051,x17052,x17053),f18(x17051,f5(x17051),f42(f42(f9(f63(x17051)),x17053),x17054))),f42(f42(f9(f63(x17051)),x17053),f18(x17051,x17052,x17054))) % 5.66/5.58 [1715]~P51(x17151)+E(f12(f63(x17151),f24(x17151,x17152,x17153),f18(x17151,f5(x17151),f42(f42(f9(f63(x17151)),x17154),x17153))),f42(f42(f9(f63(x17151)),f18(x17151,x17152,x17154)),x17153)) % 5.66/5.58 [1755]~P48(x17551)+E(f42(f15(x17551,f42(f42(f9(f63(x17551)),f16(x17551,f10(x17551),x17552)),x17553)),x17554),f42(f42(f9(x17551),f42(f42(f22(x17551),x17554),x17552)),f42(f15(x17551,x17553),x17554))) % 5.66/5.58 [868]~P7(x8684,x8685,x8681)+E(f42(x8681,x8682),f42(x8681,x8683)) % 5.66/5.58 [1640]~P50(x16401)+E(f12(x16401,f12(x16401,x16402,x16403),f12(x16401,x16404,x16405)),f12(x16401,f12(x16401,x16402,x16404),f12(x16401,x16403,x16405))) % 5.66/5.58 [1641]~P18(x16411)+E(f12(x16411,f11(x16411,x16412,x16413),f11(x16411,x16414,x16415)),f11(x16411,f12(x16411,x16412,x16414),f12(x16411,x16413,x16415))) % 5.66/5.58 [1688]~P51(x16881)+E(f42(f42(f9(f63(x16881)),f16(x16881,x16882,x16883)),f16(x16881,x16884,x16885)),f16(x16881,f42(f42(f9(x16881),x16882),x16884),f12(a2,x16883,x16885))) % 5.66/5.58 [1262]~P26(x12622)+E(f42(f11(f68(x12621,x12622),x12623,x12624),x12625),f11(x12622,f42(x12623,x12625),f42(x12624,x12625))) % 5.66/5.58 [1643]~P22(x16431)+E(f18(x16431,f12(x16431,x16432,x16433),f12(f63(x16431),x16434,x16435)),f12(f63(x16431),f18(x16431,x16432,x16434),f18(x16431,x16433,x16435))) % 5.66/5.58 [1644]~P18(x16441)+E(f18(x16441,f11(x16441,x16442,x16443),f11(f63(x16441),x16444,x16445)),f11(f63(x16441),f18(x16441,x16442,x16444),f18(x16441,x16443,x16445))) % 5.66/5.58 [1762]~P45(x17621)+P5(a1,f21(x17621,f11(x17621,f12(x17621,x17622,x17623),f12(x17621,x17624,x17625))),f12(a1,f21(x17621,f11(x17621,x17622,x17624)),f21(x17621,f11(x17621,x17623,x17625)))) % 5.66/5.58 [1699]~P50(x16991)+E(f42(f42(f9(x16991),f42(f42(f9(x16991),x16992),x16993)),f42(f42(f9(x16991),x16994),x16995)),f42(f42(f9(x16991),f42(f42(f9(x16991),x16992),x16994)),f42(f42(f9(x16991),x16993),x16995))) % 5.66/5.58 [1736]~P71(x17361)+E(f12(x17361,f42(f42(f9(x17361),x17362),f11(x17361,x17363,x17364)),f42(f42(f9(x17361),f11(x17361,x17362,x17365)),x17364)),f11(x17361,f42(f42(f9(x17361),x17362),x17363),f42(f42(f9(x17361),x17365),x17364))) % 5.66/5.58 [1783]~P3(x17831)+E(f12(x17831,f12(x17831,f42(f42(f9(x17831),f11(x17831,x17832,x17833)),f11(x17831,x17834,x17835)),f42(f42(f9(x17831),f11(x17831,x17832,x17833)),x17835)),f42(f42(f9(x17831),x17833),f11(x17831,x17834,x17835))),f11(x17831,f42(f42(f9(x17831),x17832),x17834),f42(f42(f9(x17831),x17833),x17835))) % 5.66/5.58 [1729]~P74(x17291)+E(f12(x17291,f42(f42(f9(x17291),x17292),x17293),f12(x17291,f42(f42(f9(x17291),x17294),x17293),x17295)),f12(x17291,f42(f42(f9(x17291),f12(x17291,x17292,x17294)),x17293),x17295)) % 5.66/5.58 [1758]~P5(a2,x17581,x17584)+E(f11(a2,f12(a2,f42(f42(f9(a2),x17581),x17582),x17583),f12(a2,f42(f42(f9(a2),x17584),x17582),x17585)),f11(a2,x17583,f12(a2,f42(f42(f9(a2),f11(a2,x17584,x17581)),x17582),x17585))) % 5.66/5.58 [1759]~P5(a2,x17594,x17591)+E(f11(a2,f12(a2,f42(f42(f9(a2),x17591),x17592),x17593),f12(a2,f42(f42(f9(a2),x17594),x17592),x17595)),f11(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17591,x17594)),x17592),x17593),x17595)) % 5.66/5.58 [853]E(x8531,f5(a3))+~P6(a3,f5(a3),x8531)+E(f13(a3,x8531),f10(a3)) % 5.66/5.58 [788]E(x7881,f5(a1))+P6(a1,f5(a1),x7881)+E(f13(a1,x7881),f6(a1,f10(a1))) % 5.66/5.58 [789]E(x7891,f5(a3))+P6(a3,f5(a3),x7891)+E(f13(a3,x7891),f6(a3,f10(a3))) % 5.66/5.58 [1242]~P6(a2,f8(a4,x12421),f8(a4,a64))+P7(a4,a4,f15(a4,x12421))+E(f42(f15(a4,x12421),f29(x12421)),f5(a4)) % 5.66/5.58 [1696]E(x16961,f5(a2))+E(x16961,f12(a2,f5(a2),f10(a2)))+~P6(a2,x16961,f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))) % 5.66/5.58 [858]E(x8581,x8582)+P6(a2,x8582,x8581)+P6(a2,x8581,x8582) % 5.66/5.58 [859]E(x8591,x8592)+P6(a3,x8592,x8591)+P6(a3,x8591,x8592) % 5.66/5.58 [923]E(x9231,x9232)+P6(a1,x9231,x9232)+~P5(a1,x9231,x9232) % 5.66/5.58 [926]E(x9261,x9262)+P6(a2,x9261,x9262)+~P5(a2,x9261,x9262) % 5.66/5.58 [927]E(x9271,x9272)+P6(a3,x9271,x9272)+~P5(a3,x9271,x9272) % 5.66/5.58 [982]E(x9821,x9822)+~P5(a1,x9822,x9821)+~P5(a1,x9821,x9822) % 5.66/5.58 [983]E(x9831,x9832)+~P5(a2,x9832,x9831)+~P5(a2,x9831,x9832) % 5.66/5.58 [984]E(x9841,x9842)+~P5(a3,x9842,x9841)+~P5(a3,x9841,x9842) % 5.66/5.58 [993]E(x9931,x9932)+~P8(a2,x9932,x9931)+~P8(a2,x9931,x9932) % 5.66/5.58 [629]~P24(x6291)+~E(x6292,f5(x6291))+E(f6(x6291,x6292),x6292) % 5.66/5.58 [637]~P45(x6371)+~E(x6372,f5(x6371))+E(f21(x6371,x6372),f5(a1)) % 5.66/5.58 [638]~P25(x6381)+~E(f5(x6381),x6382)+E(f6(x6381,x6382),f5(x6381)) % 5.66/5.58 [639]~P55(x6391)+~E(x6392,f5(x6391))+E(f14(x6391,x6392),f5(x6391)) % 5.66/5.58 [640]~P13(x6401)+~E(x6402,f10(x6401))+E(f14(x6401,x6402),f10(x6401)) % 5.66/5.58 [641]~P25(x6411)+~E(x6412,f5(x6411))+E(f6(x6411,x6412),f5(x6411)) % 5.66/5.58 [642]~P45(x6421)+~E(x6422,f5(x6421))+E(f13(x6421,x6422),f5(x6421)) % 5.66/5.58 [643]~P54(x6431)+~E(x6432,f5(x6431))+E(f13(x6431,x6432),f5(x6431)) % 5.66/5.58 [644]~P36(x6441)+~E(x6442,f5(x6441))+E(f13(x6441,x6442),f5(x6441)) % 5.66/5.58 [646]~P24(x6462)+~E(f6(x6462,x6461),x6461)+E(x6461,f5(x6462)) % 5.66/5.58 [653]~P45(x6532)+E(x6531,f5(x6532))+~E(f21(x6532,x6531),f5(a1)) % 5.66/5.58 [655]~P46(x6552)+~E(f14(x6552,x6551),f5(x6552))+E(x6551,f5(x6552)) % 5.66/5.58 [656]~P55(x6562)+~E(f14(x6562,x6561),f5(x6562))+E(x6561,f5(x6562)) % 5.66/5.58 [657]~P25(x6572)+~E(f6(x6572,x6571),f5(x6572))+E(x6571,f5(x6572)) % 5.66/5.58 [658]~P45(x6582)+~E(f13(x6582,x6581),f5(x6582))+E(x6581,f5(x6582)) % 5.66/5.58 [659]~P54(x6592)+~E(f13(x6592,x6591),f5(x6592))+E(x6591,f5(x6592)) % 5.66/5.58 [660]~P13(x6602)+~E(f14(x6602,x6601),f10(x6602))+E(x6601,f10(x6602)) % 5.66/5.58 [661]~P25(x6611)+~E(f6(x6611,x6612),f5(x6611))+E(f5(x6611),x6612) % 5.66/5.58 [719]~E(x7192,f5(a2))+~E(x7191,f5(a2))+E(f12(a2,x7191,x7192),f5(a2)) % 5.66/5.58 [751]~P24(x7511)+~E(x7512,f5(x7511))+E(f12(x7511,x7512,x7512),f5(x7511)) % 5.66/5.58 [815]~P45(x8152)+E(x8151,f5(x8152))+P6(a1,f5(a1),f21(x8152,x8151)) % 5.66/5.58 [819]~P54(x8191)+P6(x8191,f5(x8191),x8192)+~E(f13(x8191,x8192),f10(x8191)) % 5.66/5.58 [829]~P45(x8291)+~E(x8292,f5(x8291))+P5(a1,f21(x8291,x8292),f5(a1)) % 5.66/5.58 [843]~P24(x8432)+~E(f12(x8432,x8431,x8431),f5(x8432))+E(x8431,f5(x8432)) % 5.66/5.58 [855]~P50(x8552)+~P8(x8552,f5(x8552),x8551)+E(x8551,f5(x8552)) % 5.66/5.58 [893]~P54(x8931)+~P6(x8931,f5(x8931),x8932)+E(f13(x8931,x8932),f10(x8931)) % 5.66/5.58 [901]~P43(x9011)+P10(x9011,x9012)+P5(a2,f48(x9012,x9011),f50(x9012,x9011)) % 5.66/5.58 [929]~P45(x9292)+E(x9291,f5(x9292))+~P5(a1,f21(x9292,x9291),f5(a1)) % 5.66/5.58 [934]~P45(x9342)+~E(x9341,f5(x9342))+~P6(a1,f5(a1),f21(x9342,x9341)) % 5.66/5.58 [1002]E(x10021,x10022)+~E(f11(a2,x10022,x10021),f5(a2))+~E(f11(a2,x10021,x10022),f5(a2)) % 5.66/5.58 [1033]~P54(x10331)+~P6(x10331,x10332,f5(x10331))+P6(x10331,x10332,f6(x10331,x10332)) % 5.66/5.58 [1034]~P24(x10341)+~P5(x10341,x10342,f5(x10341))+P5(x10341,x10342,f6(x10341,x10342)) % 5.66/5.58 [1035]~P24(x10351)+~P6(x10351,f5(x10351),x10352)+P6(x10351,f6(x10351,x10352),x10352) % 5.66/5.58 [1036]~P24(x10361)+~P5(x10361,f5(x10361),x10362)+P5(x10361,f6(x10361,x10362),x10362) % 5.66/5.58 [1046]~P32(x10461)+~P6(x10461,x10462,f5(x10461))+P6(x10461,f5(x10461),f6(x10461,x10462)) % 5.66/5.58 [1047]~P32(x10471)+~P5(x10471,x10472,f5(x10471))+P5(x10471,f5(x10471),f6(x10471,x10472)) % 5.66/5.58 [1048]~P11(x10481)+~P6(x10481,f5(x10481),x10482)+P6(x10481,f5(x10481),f14(x10481,x10482)) % 5.66/5.58 [1049]~P12(x10491)+~P6(x10491,f5(x10491),x10492)+P6(x10491,f5(x10491),f14(x10491,x10492)) % 5.66/5.58 [1050]~P54(x10501)+~P6(x10501,f5(x10501),x10502)+P6(x10501,f5(x10501),f13(x10501,x10502)) % 5.66/5.58 [1051]~P11(x10511)+~P5(x10511,f5(x10511),x10512)+P5(x10511,f5(x10511),f14(x10511,x10512)) % 5.66/5.58 [1052]~P11(x10521)+~P6(x10521,x10522,f5(x10521))+P6(x10521,f14(x10521,x10522),f5(x10521)) % 5.66/5.58 [1053]~P12(x10531)+~P6(x10531,x10532,f5(x10531))+P6(x10531,f14(x10531,x10532),f5(x10531)) % 5.66/5.58 [1054]~P11(x10541)+~P5(x10541,x10542,f5(x10541))+P6(x10541,f14(x10541,x10542),f10(x10541)) % 5.66/5.58 [1055]~P54(x10551)+~P6(x10551,x10552,f5(x10551))+P6(x10551,f13(x10551,x10552),f5(x10551)) % 5.66/5.58 [1056]~P11(x10561)+~P5(x10561,x10562,f5(x10561))+P5(x10561,f14(x10561,x10562),f5(x10561)) % 5.66/5.58 [1057]~P11(x10571)+~P5(x10571,x10572,f5(x10571))+P5(x10571,f14(x10571,x10572),f10(x10571)) % 5.66/5.58 [1058]~P11(x10581)+~P6(x10581,f10(x10581),x10582)+P6(x10581,f14(x10581,x10582),f10(x10581)) % 5.66/5.58 [1059]~P32(x10591)+~P6(x10591,f5(x10591),x10592)+P6(x10591,f6(x10591,x10592),f5(x10591)) % 5.66/5.58 [1060]~P11(x10601)+~P5(x10601,f10(x10601),x10602)+P5(x10601,f14(x10601,x10602),f10(x10601)) % 5.66/5.58 [1061]~P32(x10611)+~P5(x10611,f5(x10611),x10612)+P5(x10611,f6(x10611,x10612),f5(x10611)) % 5.66/5.58 [1064]~P54(x10641)+~P6(x10641,x10642,f6(x10641,x10642))+P6(x10641,x10642,f5(x10641)) % 5.66/5.58 [1065]~P24(x10651)+~P5(x10651,x10652,f6(x10651,x10652))+P5(x10651,x10652,f5(x10651)) % 5.66/5.58 [1066]~P24(x10661)+~P6(x10661,f6(x10661,x10662),x10662)+P6(x10661,f5(x10661),x10662) % 5.66/5.58 [1067]~P24(x10671)+~P5(x10671,f6(x10671,x10672),x10672)+P5(x10671,f5(x10671),x10672) % 5.66/5.58 [1081]~P32(x10811)+~P6(x10811,f5(x10811),f6(x10811,x10812))+P6(x10811,x10812,f5(x10811)) % 5.66/5.58 [1082]~P11(x10821)+~P6(x10821,f10(x10821),f14(x10821,x10822))+P6(x10821,x10822,f10(x10821)) % 5.66/5.58 [1083]~P32(x10831)+~P5(x10831,f5(x10831),f6(x10831,x10832))+P5(x10831,x10832,f5(x10831)) % 5.66/5.58 [1084]~P11(x10841)+~P5(x10841,f10(x10841),f14(x10841,x10842))+P5(x10841,x10842,f10(x10841)) % 5.66/5.58 [1085]~P11(x10851)+~P6(x10851,f14(x10851,x10852),f5(x10851))+P6(x10851,x10852,f5(x10851)) % 5.66/5.58 [1086]~P54(x10861)+~P6(x10861,f13(x10861,x10862),f5(x10861))+P6(x10861,x10862,f5(x10861)) % 5.66/5.58 [1087]~P11(x10871)+~P5(x10871,f14(x10871,x10872),f5(x10871))+P5(x10871,x10872,f5(x10871)) % 5.66/5.58 [1088]~P11(x10881)+~P6(x10881,f5(x10881),f14(x10881,x10882))+P6(x10881,f5(x10881),x10882) % 5.66/5.58 [1089]~P11(x10891)+~P6(x10891,f10(x10891),f14(x10891,x10892))+P6(x10891,f5(x10891),x10892) % 5.66/5.58 [1090]~P11(x10901)+~P5(x10901,f10(x10901),f14(x10901,x10902))+P6(x10901,f5(x10901),x10902) % 5.66/5.58 [1091]~P54(x10911)+~P6(x10911,f5(x10911),f13(x10911,x10912))+P6(x10911,f5(x10911),x10912) % 5.66/5.58 [1092]~P11(x10921)+~P5(x10921,f5(x10921),f14(x10921,x10922))+P5(x10921,f5(x10921),x10922) % 5.66/5.58 [1093]~P32(x10931)+~P6(x10931,f6(x10931,x10932),f5(x10931))+P6(x10931,f5(x10931),x10932) % 5.66/5.58 [1094]~P32(x10941)+~P5(x10941,f6(x10941,x10942),f5(x10941))+P5(x10941,f5(x10941),x10942) % 5.66/5.58 [1131]~P8(a2,x11311,x11312)+P5(a2,x11311,x11312)+~P6(a2,f5(a2),x11312) % 5.66/5.58 [1132]~P8(a3,x11321,x11322)+P5(a3,x11321,x11322)+~P6(a3,f5(a3),x11322) % 5.66/5.58 [1220]~P8(a2,x12202,x12201)+~P6(a2,x12201,x12202)+~P6(a2,f5(a2),x12201) % 5.66/5.58 [1221]~P8(a3,x12212,x12211)+~P6(a3,x12211,x12212)+~P6(a3,f5(a3),x12211) % 5.66/5.58 [1222]~P5(a3,f5(a3),x12222)+~P5(a3,f5(a3),x12221)+P5(a3,f5(a3),f17(x12221,x12222)) % 5.66/5.58 [1236]~P24(x12361)+~P6(x12361,f5(x12361),x12362)+P6(x12361,f5(x12361),f12(x12361,x12362,x12362)) % 5.66/5.58 [1237]~P24(x12371)+~P5(x12371,f5(x12371),x12372)+P5(x12371,f5(x12371),f12(x12371,x12372,x12372)) % 5.66/5.58 [1238]~P54(x12381)+~P6(x12381,x12382,f5(x12381))+P6(x12381,f12(x12381,x12382,x12382),f5(x12381)) % 5.66/5.58 [1239]~P24(x12391)+~P6(x12391,x12392,f5(x12391))+P6(x12391,f12(x12391,x12392,x12392),f5(x12391)) % 5.66/5.58 [1240]~P24(x12401)+~P5(x12401,x12402,f5(x12401))+P5(x12401,f12(x12401,x12402,x12402),f5(x12401)) % 5.66/5.58 [1353]~P54(x13531)+~P6(x13531,f12(x13531,x13532,x13532),f5(x13531))+P6(x13531,x13532,f5(x13531)) % 5.66/5.58 [1354]~P24(x13541)+~P6(x13541,f12(x13541,x13542,x13542),f5(x13541))+P6(x13541,x13542,f5(x13541)) % 5.66/5.58 [1355]~P24(x13551)+~P5(x13551,f12(x13551,x13552,x13552),f5(x13551))+P5(x13551,x13552,f5(x13551)) % 5.66/5.58 [1356]~P24(x13561)+~P6(x13561,f5(x13561),f12(x13561,x13562,x13562))+P6(x13561,f5(x13561),x13562) % 5.66/5.58 [1357]~P24(x13571)+~P5(x13571,f5(x13571),f12(x13571,x13572,x13572))+P5(x13571,f5(x13571),x13572) % 5.66/5.58 [1359]P6(a2,f11(a2,x13591,x13592),x13591)+~P6(a2,f5(a2),x13591)+~P6(a2,f5(a2),x13592) % 5.66/5.58 [1365]~P5(a3,f5(a3),x13652)+~P5(a3,f5(a3),x13651)+P5(a3,f5(a3),f12(a3,x13651,x13652)) % 5.66/5.58 [1428]P6(a2,f5(a2),x14281)+P6(a2,f5(a2),x14282)+~P6(a2,f5(a2),f12(a2,x14282,x14281)) % 5.66/5.58 [662]~P34(x6621)+E(f8(x6621,x6622),f5(a2))+~E(x6622,f5(f63(x6621))) % 5.66/5.58 [663]~P34(x6632)+~E(f8(x6632,x6631),f5(a2))+E(x6631,f5(f63(x6632))) % 5.66/5.58 [671]~P46(x6712)+E(x6711,f5(x6712))+E(f14(x6712,f14(x6712,x6711)),x6711) % 5.66/5.58 [680]~P45(x6802)+E(x6801,f5(x6802))+E(f21(x6802,f13(x6802,x6801)),f10(a1)) % 5.66/5.58 [681]~P54(x6811)+~E(x6812,f5(f63(x6811)))+E(f13(f63(x6811),x6812),f5(f63(x6811))) % 5.66/5.58 [691]~P45(x6911)+~E(x6912,f5(x6911))+E(f21(x6911,f13(x6911,x6912)),f5(a1)) % 5.66/5.58 [803]~P2(x8032)+E(x8031,f5(x8032))+E(f21(x8032,f14(x8032,x8031)),f14(a1,f21(x8032,x8031))) % 5.66/5.58 [811]~P46(x8112)+E(x8111,f5(x8112))+E(f14(x8112,f6(x8112,x8111)),f6(x8112,f14(x8112,x8111))) % 5.66/5.58 [812]~P2(x8121)+~P55(x8121)+E(f21(x8121,f14(x8121,x8122)),f14(a1,f21(x8121,x8122))) % 5.66/5.58 [816]~P46(x8162)+E(x8161,f5(x8162))+E(f42(f42(f9(x8162),x8161),f14(x8162,x8161)),f10(x8162)) % 5.66/5.58 [894]~P54(x8941)+P6(x8941,x8942,f5(x8941))+~E(f13(x8941,x8942),f6(x8941,f10(x8941))) % 5.66/5.58 [915]~P54(x9151)+~P6(x9151,x9152,f5(x9151))+E(f13(x9151,x9152),f6(x9151,f10(x9151))) % 5.66/5.58 [1031]E(x10311,f5(a2))+E(x10312,f5(a2))+~E(f12(a2,x10312,x10311),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1032]E(x10321,f5(a2))+E(x10322,f5(a2))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x10322,x10321)) % 5.66/5.58 [1098]~E(x10982,f5(a2))+~E(x10981,f12(a2,f5(a2),f10(a2)))+E(f12(a2,x10981,x10982),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1099]~E(x10991,f5(a2))+~E(x10992,f12(a2,f5(a2),f10(a2)))+E(f12(a2,x10991,x10992),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1100]~E(x11002,f5(a2))+~E(x11001,f12(a2,f5(a2),f10(a2)))+E(f12(a2,f5(a2),f10(a2)),f12(a2,x11001,x11002)) % 5.66/5.58 [1101]~E(x11011,f5(a2))+~E(x11012,f12(a2,f5(a2),f10(a2)))+E(f12(a2,f5(a2),f10(a2)),f12(a2,x11011,x11012)) % 5.66/5.58 [1165]E(x11651,f5(a2))+E(x11651,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,x11652,x11651),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1166]E(x11661,f5(a2))+E(x11661,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,x11661,x11662),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1167]E(x11671,f5(a2))+E(x11671,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x11672,x11671)) % 5.66/5.58 [1168]E(x11681,f5(a2))+E(x11681,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x11681,x11682)) % 5.66/5.58 [1281]E(x12811,f12(a2,f5(a2),f10(a2)))+E(x12812,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,x12811,x12812),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1282]E(x12821,f12(a2,f5(a2),f10(a2)))+E(x12822,f12(a2,f5(a2),f10(a2)))+~E(f12(a2,f5(a2),f10(a2)),f12(a2,x12821,x12822)) % 5.66/5.58 [1290]~P6(a2,x12901,x12902)+P6(a2,f12(a2,x12901,f10(a2)),x12902)+E(f12(a2,x12901,f10(a2)),x12902) % 5.66/5.58 [1311]E(x13111,x13112)+P6(a2,x13111,x13112)+~P6(a2,x13111,f12(a2,x13112,f10(a2))) % 5.66/5.58 [1312]E(x13121,x13122)+P6(a3,x13121,x13122)+~P6(a3,x13121,f12(a3,x13122,f10(a3))) % 5.66/5.58 [1366]P6(a2,f56(x13662,x13661),x13662)+E(x13661,f5(a2))+~P6(a2,x13661,f12(a2,x13662,f10(a2))) % 5.66/5.58 [1371]E(x13711,x13712)+~P5(a2,x13712,x13711)+~P6(a2,x13711,f12(a2,x13712,f10(a2))) % 5.66/5.58 [1372]E(x13721,f5(a2))+~P6(a2,x13721,f12(a2,x13722,f10(a2)))+E(f12(a2,f56(x13722,x13721),f10(a2)),x13721) % 5.66/5.58 [1389]~P43(x13891)+P10(x13891,x13892)+~P5(x13891,f42(x13892,f50(x13892,x13891)),f42(x13892,f48(x13892,x13891))) % 5.66/5.58 [1438]P5(a2,x14381,x14382)+~P5(a2,x14381,f12(a2,x14382,f10(a2)))+E(x14381,f12(a2,x14382,f10(a2))) % 5.66/5.58 [698]~E(x6982,f10(a2))+~E(x6981,f10(a2))+E(f42(f42(f9(a2),x6981),x6982),f10(a2)) % 5.66/5.58 [744]~P70(x7441)+~E(x7442,f10(x7441))+E(f42(f42(f9(x7441),x7442),x7442),f10(x7441)) % 5.66/5.58 [768]E(x7681,f10(a2))+E(x7682,f5(a2))+~E(f42(f42(f9(a2),x7682),x7681),x7682) % 5.66/5.58 [770]E(x7701,f5(a2))+E(x7702,f5(a2))+~E(f42(f42(f9(a2),x7702),x7701),f5(a2)) % 5.66/5.58 [827]~P70(x8271)+~E(x8272,f6(x8271,f10(x8271)))+E(f42(f42(f9(x8271),x8272),x8272),f10(x8271)) % 5.66/5.58 [890]~P46(x8902)+E(x8901,f5(x8902))+E(f42(f42(f9(x8902),f14(x8902,x8901)),x8901),f10(x8902)) % 5.66/5.58 [891]~P4(x8912)+E(x8911,f5(x8912))+E(f42(f42(f9(x8912),f14(x8912,x8911)),x8911),f10(x8912)) % 5.66/5.58 [978]E(x9781,f10(a3))+~P6(a3,f5(a3),x9782)+~E(f42(f42(f9(a3),x9782),x9781),f10(a3)) % 5.66/5.58 [979]E(x9791,f10(a3))+~P6(a3,f5(a3),x9791)+~E(f42(f42(f9(a3),x9791),x9792),f10(a3)) % 5.66/5.58 [1063]~P27(x10631)+~P75(x10631)+E(f42(f42(f22(x10631),f5(x10631)),f12(a2,x10632,f10(a2))),f5(x10631)) % 5.66/5.58 [1138]E(x11381,f5(a2))+E(x11382,f12(a2,f5(a2),f10(a2)))+~E(f42(f42(f22(a2),x11382),x11381),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1161]~E(x11612,f10(a2))+~P6(a2,f5(a2),x11611)+P8(a2,f42(f42(f9(a2),x11611),x11612),x11611) % 5.66/5.58 [1162]~E(x11621,f10(a2))+~P6(a2,f5(a2),x11622)+P8(a2,f42(f42(f9(a2),x11621),x11622),x11622) % 5.66/5.58 [1270]E(x12701,f5(a2))+P6(a2,f5(a2),x12702)+~P6(a2,f5(a2),f42(f42(f22(a2),x12702),x12701)) % 5.66/5.58 [1272]~E(x12722,f12(a2,f5(a2),f10(a2)))+~E(x12721,f12(a2,f5(a2),f10(a2)))+E(f42(f42(f9(a2),x12721),x12722),f12(a2,f5(a2),f10(a2))) % 5.66/5.58 [1319]E(x13191,f10(a2))+~P6(a2,f5(a2),x13192)+~P8(a2,f42(f42(f9(a2),x13192),x13191),x13192) % 5.66/5.58 [1320]E(x13201,f10(a2))+~P6(a2,f5(a2),x13202)+~P8(a2,f42(f42(f9(a2),x13201),x13202),x13202) % 5.66/5.58 [1329]~P6(a1,f5(a1),x13292)+~P6(a1,f5(a1),x13291)+P6(a1,f5(a1),f42(f42(f9(a1),x13291),x13292)) % 5.66/5.58 [1330]~P6(a2,f5(a2),x13302)+~P6(a2,f5(a2),x13301)+P6(a2,f5(a2),f42(f42(f9(a2),x13301),x13302)) % 5.66/5.58 [1331]~P5(a3,f5(a3),x13312)+~P5(a3,f5(a3),x13311)+P5(a3,f5(a3),f42(f42(f9(a3),x13311),x13312)) % 5.66/5.58 [1691]~P6(a2,f12(a2,f5(a2),f10(a2)),x16912)+~P6(a2,f12(a2,f5(a2),f10(a2)),x16911)+P6(a2,x16911,f42(f42(f9(a2),x16912),x16911)) % 5.66/5.58 [1692]~P6(a2,f12(a2,f5(a2),f10(a2)),x16922)+~P6(a2,f12(a2,f5(a2),f10(a2)),x16921)+P6(a2,x16921,f42(f42(f9(a2),x16921),x16922)) % 5.66/5.58 [1706]~P6(a2,f12(a2,f5(a2),f10(a2)),x17061)+~P6(a2,f12(a2,f5(a2),f10(a2)),x17062)+P6(a2,f12(a2,f5(a2),f10(a2)),f42(f42(f9(a2),x17061),x17062)) % 5.66/5.58 [1204]~E(x12042,f5(a1))+~E(x12041,f5(a1))+E(f12(a1,f42(f42(f9(a1),x12041),x12041),f42(f42(f9(a1),x12042),x12042)),f5(a1)) % 5.66/5.58 [1763]E(x17631,f5(a2))+E(x17632,f5(a4))+P6(a1,f21(a4,f12(a4,f10(a4),f42(f42(f9(a4),x17632),f42(f42(f22(a4),f61(x17631,x17632)),x17631)))),f10(a1)) % 5.66/5.58 [710]~E(x7102,x7103)+~P38(x7101)+P5(x7101,x7102,x7103) % 5.66/5.58 [712]~E(x7122,x7123)+~P43(x7121)+P5(x7121,x7122,x7123) % 5.66/5.58 [825]~P6(x8253,x8251,x8252)+~E(x8251,x8252)+~P40(x8253) % 5.66/5.58 [826]~P6(x8263,x8261,x8262)+~E(x8261,x8262)+~P43(x8263) % 5.66/5.58 [877]P5(x8771,x8773,x8772)+~P40(x8771)+P6(x8771,x8772,x8773) % 5.66/5.58 [879]P5(x8791,x8793,x8792)+~P40(x8791)+P5(x8791,x8792,x8793) % 5.66/5.58 [940]~P38(x9401)+~P6(x9401,x9402,x9403)+P5(x9401,x9402,x9403) % 5.66/5.58 [942]~P43(x9421)+~P6(x9421,x9422,x9423)+P5(x9421,x9422,x9423) % 5.66/5.58 [1009]~P6(x10091,x10093,x10092)+~P38(x10091)+~P6(x10091,x10092,x10093) % 5.66/5.58 [1010]~P5(x10101,x10103,x10102)+~P38(x10101)+~P6(x10101,x10102,x10103) % 5.66/5.58 [1011]~P6(x10111,x10113,x10112)+~P40(x10111)+~P6(x10111,x10112,x10113) % 5.66/5.58 [1014]~P5(x10141,x10143,x10142)+~P40(x10141)+~P6(x10141,x10142,x10143) % 5.66/5.58 [1015]~P6(x10151,x10153,x10152)+~P43(x10151)+~P6(x10151,x10152,x10153) % 5.66/5.58 [1120]~P5(a1,x11201,x11203)+P5(a1,x11201,x11202)+~P5(a1,x11203,x11202) % 5.66/5.58 [1121]~P5(a2,x11211,x11213)+P5(a2,x11211,x11212)+~P5(a2,x11213,x11212) % 5.66/5.58 [1122]~P5(a3,x11221,x11223)+P5(a3,x11221,x11222)+~P5(a3,x11223,x11222) % 5.66/5.58 [1123]~P8(a2,x11231,x11233)+P8(a2,x11231,x11232)+~P8(a2,x11233,x11232) % 5.66/5.58 [665]~P25(x6652)+~E(x6653,f6(x6652,x6651))+E(x6651,f6(x6652,x6653)) % 5.66/5.58 [667]~P25(x6671)+~E(f6(x6671,x6673),x6672)+E(f6(x6671,x6672),x6673) % 5.66/5.58 [673]~P55(x6733)+E(x6731,x6732)+~E(f14(x6733,x6731),f14(x6733,x6732)) % 5.66/5.58 [674]~P25(x6743)+E(x6741,x6742)+~E(f6(x6743,x6741),f6(x6743,x6742)) % 5.66/5.58 [675]~P41(x6753)+E(x6751,x6752)+~E(f6(x6753,x6751),f6(x6753,x6752)) % 5.66/5.58 [731]~E(x7312,x7313)+~P25(x7311)+E(f11(x7311,x7312,x7313),f5(x7311)) % 5.66/5.58 [732]~E(x7322,x7323)+~P18(x7321)+E(f11(x7321,x7322,x7323),f5(x7321)) % 5.66/5.58 [740]~P76(x7401)+~E(x7403,f5(x7401))+E(f12(x7401,x7402,x7403),x7402) % 5.66/5.58 [741]~E(x7412,x7413)+~P54(x7411)+P5(f63(x7411),x7412,x7413) % 5.66/5.58 [795]~P25(x7951)+~E(x7953,f6(x7951,x7952))+E(f12(x7951,x7952,x7953),f5(x7951)) % 5.66/5.58 [796]~P25(x7961)+~E(x7962,f6(x7961,x7963))+E(f12(x7961,x7962,x7963),f5(x7961)) % 5.66/5.58 [836]~P76(x8362)+~E(f12(x8362,x8363,x8361),x8363)+E(x8361,f5(x8362)) % 5.66/5.58 [839]~P25(x8393)+E(x8391,x8392)+~E(f11(x8393,x8391,x8392),f5(x8393)) % 5.66/5.58 [840]~P18(x8403)+E(x8401,x8402)+~E(f11(x8403,x8401,x8402),f5(x8403)) % 5.66/5.58 [869]~P25(x8692)+~E(f12(x8692,x8693,x8691),f5(x8692))+E(x8691,f6(x8692,x8693)) % 5.66/5.58 [870]~P25(x8702)+~E(f12(x8702,x8701,x8703),f5(x8702))+E(x8701,f6(x8702,x8703)) % 5.66/5.58 [871]~P25(x8711)+~E(f12(x8711,x8712,x8713),f5(x8711))+E(f6(x8711,x8712),x8713) % 5.66/5.58 [962]~P54(x9621)+~P9(x9621,x9623)+P9(x9621,f18(x9621,x9622,x9623)) % 5.66/5.58 [999]~P48(x9991)+~P8(x9991,x9992,x9993)+P8(x9991,x9992,f6(x9991,x9993)) % 5.66/5.58 [1000]~P48(x10001)+~P8(x10001,x10002,x10003)+P8(x10001,f6(x10001,x10002),x10003) % 5.66/5.58 [1041]~P48(x10411)+P8(x10411,x10412,x10413)+~P8(x10411,x10412,f6(x10411,x10413)) % 5.66/5.58 [1042]~P48(x10421)+P8(x10421,x10422,x10423)+~P8(x10421,f6(x10421,x10422),x10423) % 5.66/5.58 [1071]~P32(x10711)+~P6(x10711,x10713,x10712)+P6(x10711,f6(x10711,x10712),f6(x10711,x10713)) % 5.66/5.58 [1073]~P32(x10731)+~P5(x10731,x10733,x10732)+P5(x10731,f6(x10731,x10732),f6(x10731,x10733)) % 5.66/5.58 [1075]~P41(x10751)+~P5(x10751,x10753,x10752)+P5(x10751,f6(x10751,x10752),f6(x10751,x10753)) % 5.66/5.58 [1106]~P32(x11061)+~P6(x11061,x11063,f6(x11061,x11062))+P6(x11061,x11062,f6(x11061,x11063)) % 5.66/5.58 [1108]~P32(x11081)+~P5(x11081,x11083,f6(x11081,x11082))+P5(x11081,x11082,f6(x11081,x11083)) % 5.66/5.58 [1110]~P32(x11101)+~P6(x11101,f6(x11101,x11103),x11102)+P6(x11101,f6(x11101,x11102),x11103) % 5.66/5.58 [1112]~P32(x11121)+~P5(x11121,f6(x11121,x11123),x11122)+P5(x11121,f6(x11121,x11122),x11123) % 5.66/5.58 [1126]~P5(a2,x11263,x11261)+~E(f11(a2,x11261,x11263),x11262)+E(x11261,f12(a2,x11262,x11263)) % 5.66/5.58 [1127]~P5(a2,x11272,x11271)+~E(x11271,f12(a2,x11273,x11272))+E(f11(a2,x11271,x11272),x11273) % 5.66/5.58 [1139]~P32(x11391)+P6(x11391,x11392,x11393)+~P6(x11391,f6(x11391,x11393),f6(x11391,x11392)) % 5.66/5.58 [1140]~P32(x11401)+P5(x11401,x11402,x11403)+~P5(x11401,f6(x11401,x11403),f6(x11401,x11402)) % 5.66/5.58 [1141]~P41(x11411)+P5(x11411,x11412,x11413)+~P5(x11411,f6(x11411,x11413),f6(x11411,x11412)) % 5.66/5.58 [1223]~P32(x12231)+~P6(x12231,x12232,x12233)+P6(x12231,f11(x12231,x12232,x12233),f5(x12231)) % 5.66/5.58 [1224]~P32(x12241)+~P5(x12241,x12242,x12243)+P5(x12241,f11(x12241,x12242,x12243),f5(x12241)) % 5.66/5.58 [1332]~P8(a2,x13321,x13323)+~P8(a2,x13321,x13322)+P8(a2,x13321,f11(a2,x13322,x13323)) % 5.66/5.58 [1335]~P32(x13351)+P6(x13351,x13352,x13353)+~P6(x13351,f11(x13351,x13352,x13353),f5(x13351)) % 5.66/5.58 [1336]~P32(x13361)+P5(x13361,x13362,x13363)+~P5(x13361,f11(x13361,x13362,x13363),f5(x13361)) % 5.66/5.58 [1444]P8(a3,x14441,x14442)+~P8(a3,x14441,x14443)+~P8(a3,x14441,f11(a3,x14442,x14443)) % 5.66/5.58 [1509]~P6(a2,x15093,x15091)+~P6(a2,x15093,x15092)+P6(a2,f11(a2,x15091,x15092),f11(a2,x15091,x15093)) % 5.66/5.58 [1510]~P6(a2,x15101,x15103)+~P5(a2,x15102,x15101)+P6(a2,f11(a2,x15101,x15102),f11(a2,x15103,x15102)) % 5.66/5.58 [1586]~P5(a2,x15863,x15862)+~P5(a2,f12(a2,x15861,x15863),x15862)+P5(a2,x15861,f11(a2,x15862,x15863)) % 5.66/5.58 [1587]~P5(a2,x15872,x15873)+~P5(a2,x15871,f11(a2,x15873,x15872))+P5(a2,f12(a2,x15871,x15872),x15873) % 5.66/5.58 [730]~P57(x7301)+~E(x7302,f5(f63(x7301)))+E(f42(f15(x7301,x7302),x7303),f5(x7301)) % 5.66/5.58 [761]~P57(x7611)+~E(x7612,f5(x7611))+E(f24(x7611,x7612,x7613),f5(f63(x7611))) % 5.66/5.58 [762]~P34(x7621)+~E(x7622,f5(x7621))+E(f16(x7621,x7622,x7623),f5(f63(x7621))) % 5.66/5.58 [798]~P57(x7981)+~E(x7983,f5(f63(x7981)))+E(f24(x7981,x7982,x7983),f5(f63(x7981))) % 5.66/5.58 [856]~P57(x8561)+E(f19(x8561,x8562,x8563),f5(a2))+E(f42(f15(x8561,x8563),x8562),f5(x8561)) % 5.66/5.58 [866]~P34(x8662)+E(x8661,f5(x8662))+~E(f16(x8662,x8661,x8663),f5(f63(x8662))) % 5.66/5.58 [867]~P34(x8672)+E(x8671,f5(x8672))+~E(f18(x8672,x8671,x8673),f5(f63(x8672))) % 5.66/5.58 [888]~P34(x8882)+~E(f18(x8882,x8883,x8881),f5(f63(x8882)))+E(x8881,f5(f63(x8882))) % 5.66/5.58 [1160]~P54(x11601)+~P6(f63(x11601),x11603,x11602)+P9(x11601,f11(f63(x11601),x11602,x11603)) % 5.66/5.58 [1252]~P54(x12521)+P6(f63(x12521),x12522,x12523)+~P9(x12521,f11(f63(x12521),x12523,x12522)) % 5.66/5.58 [1253]~P54(x12531)+P5(f63(x12531),x12532,x12533)+~P9(x12531,f11(f63(x12531),x12533,x12532)) % 5.66/5.58 [1352]~P6(a2,x13521,x13523)+~P6(a2,x13523,x13522)+P6(a2,f12(a2,x13521,f10(a2)),x13522) % 5.66/5.58 [1361]~P6(a2,x13613,x13612)+P6(a2,x13611,f12(a2,x13612,f10(a2)))+~E(x13611,f12(a2,x13613,f10(a2))) % 5.66/5.58 [1552]P6(a2,x15522,x15521)+E(f12(a2,x15521,f60(x15521,x15522,x15523)),x15522)+P77(f42(x15523,f11(a2,x15522,x15521))) % 5.66/5.58 [1553]P6(a2,x15532,x15531)+E(f12(a2,x15531,f28(x15531,x15532,x15533)),x15532)+P77(f42(x15533,f11(a2,x15532,x15531))) % 5.66/5.58 [1560]E(f12(a2,x15601,f60(x15601,x15602,x15603)),x15602)+P77(f42(x15603,f11(a2,x15602,x15601)))+~P77(f42(x15603,f5(a2))) % 5.66/5.58 [1561]E(f12(a2,x15611,f28(x15611,x15612,x15613)),x15612)+P77(f42(x15613,f11(a2,x15612,x15611)))+~P77(f42(x15613,f5(a2))) % 5.66/5.58 [1572]~P5(a2,x15722,x15723)+~P5(a2,x15722,x15721)+E(f11(a2,f11(a2,x15721,x15722),f11(a2,x15723,x15722)),f11(a2,x15721,x15723)) % 5.66/5.58 [1591]~P6(a2,x15912,x15913)+~P77(f42(x15911,f11(a2,x15912,x15913)))+P77(f42(x15911,f5(a2))) % 5.66/5.58 [1689]P6(a2,x16891,x16892)+~P77(f42(x16893,f60(x16892,x16891,x16893)))+P77(f42(x16893,f11(a2,x16891,x16892))) % 5.66/5.58 [1690]P6(a2,x16901,x16902)+~P77(f42(x16903,f28(x16902,x16901,x16903)))+P77(f42(x16903,f11(a2,x16901,x16902))) % 5.66/5.58 [1693]~P77(f42(x16931,f60(x16933,x16932,x16931)))+P77(f42(x16931,f11(a2,x16932,x16933)))+~P77(f42(x16931,f5(a2))) % 5.66/5.58 [1694]~P77(f42(x16941,f28(x16943,x16942,x16941)))+P77(f42(x16941,f11(a2,x16942,x16943)))+~P77(f42(x16941,f5(a2))) % 5.66/5.58 [733]~P27(x7331)+~E(x7333,f5(a2))+E(f42(f42(f22(x7331),x7332),x7333),f10(x7331)) % 5.66/5.58 [742]~P69(x7421)+~E(x7423,f5(x7421))+E(f42(f42(f9(x7421),x7422),x7423),f5(x7421)) % 5.66/5.58 [743]~P69(x7431)+~E(x7432,f5(x7431))+E(f42(f42(f9(x7431),x7432),x7433),f5(x7431)) % 5.66/5.58 [838]~P70(x8382)+E(x8381,f5(x8382))+~E(f42(f42(f22(x8382),x8381),x8383),f5(x8382)) % 5.66/5.58 [860]~P46(x8601)+E(f14(x8601,x8602),x8603)+~E(f42(f42(f9(x8601),x8602),x8603),f10(x8601)) % 5.66/5.58 [904]~P57(x9041)+~E(x9042,f6(x9041,x9043))+E(f42(f42(f9(x9041),x9042),x9042),f42(f42(f9(x9041),x9043),x9043)) % 5.66/5.58 [957]E(x9571,x9572)+E(x9573,f5(a1))+~E(f42(f42(f9(a1),x9573),x9571),f42(f42(f9(a1),x9573),x9572)) % 5.66/5.58 [959]E(x9591,x9592)+E(x9593,f5(a2))+~E(f42(f42(f9(a2),x9593),x9591),f42(f42(f9(a2),x9593),x9592)) % 5.66/5.58 [960]E(x9601,x9602)+E(x9603,f5(a1))+~E(f42(f42(f9(a1),x9601),x9603),f42(f42(f9(a1),x9602),x9603)) % 5.66/5.58 [961]E(x9611,x9612)+E(x9613,f5(a2))+~E(f42(f42(f9(a2),x9611),x9613),f42(f42(f9(a2),x9612),x9613)) % 5.66/5.58 [995]~P50(x9951)+~E(x9952,f10(x9951))+P8(x9951,x9952,f42(f42(f22(x9951),x9952),x9953)) % 5.66/5.58 [1158]E(x11581,x11582)+~P6(a2,f5(a2),x11583)+~E(f42(f42(f9(a2),x11583),x11581),f42(f42(f9(a2),x11583),x11582)) % 5.66/5.58 [1214]~P50(x12141)+~P6(a2,f5(a2),x12143)+P8(x12141,x12142,f42(f42(f22(x12141),x12142),x12143)) % 5.66/5.58 [1231]~P1(x12311)+~P6(x12311,f5(x12311),x12312)+P6(x12311,f5(x12311),f42(f42(f22(x12311),x12312),x12313)) % 5.66/5.58 [1232]~P1(x12321)+~P5(x12321,f5(x12321),x12322)+P5(x12321,f5(x12321),f42(f42(f22(x12321),x12322),x12323)) % 5.66/5.58 [1233]~P1(x12331)+~P5(x12331,f10(x12331),x12332)+P5(x12331,f10(x12331),f42(f42(f22(x12331),x12332),x12333)) % 5.66/5.58 [1325]~P8(a3,x13252,x13253)+E(x13251,f5(a3))+P8(a3,f42(f42(f9(a3),x13251),x13252),f42(f42(f9(a3),x13251),x13253)) % 5.66/5.58 [1467]~P6(a1,x14671,x14673)+~P6(a1,f5(a1),x14672)+P6(a1,f42(f42(f9(a1),x14671),x14672),f42(f42(f9(a1),x14673),x14672)) % 5.66/5.58 [1468]~P6(a1,x14682,x14683)+~P6(a1,f5(a1),x14681)+P6(a1,f42(f42(f9(a1),x14681),x14682),f42(f42(f9(a1),x14681),x14683)) % 5.66/5.58 [1472]~P6(a2,x14721,x14723)+~P6(a2,f5(a2),x14722)+P6(a2,f42(f42(f9(a2),x14721),x14722),f42(f42(f9(a2),x14723),x14722)) % 5.66/5.58 [1473]~P6(a2,x14732,x14733)+~P6(a2,f5(a2),x14731)+P6(a2,f42(f42(f9(a2),x14731),x14732),f42(f42(f9(a2),x14731),x14733)) % 5.66/5.58 [1474]~P6(a3,x14742,x14743)+~P6(a3,f5(a3),x14741)+P6(a3,f42(f42(f9(a3),x14741),x14742),f42(f42(f9(a3),x14741),x14743)) % 5.66/5.58 [1475]~P5(a1,x14752,x14753)+~P6(a1,f5(a1),x14751)+P5(a1,f42(f42(f9(a1),x14751),x14752),f42(f42(f9(a1),x14751),x14753)) % 5.66/5.58 [1476]~P5(a1,x14761,x14763)+~P6(a1,f5(a1),x14762)+P5(a1,f42(f42(f9(a1),x14761),x14762),f42(f42(f9(a1),x14763),x14762)) % 5.66/5.58 [1496]P8(a2,x14962,x14963)+E(x14961,f5(a2))+~P8(a2,f42(f42(f9(a2),x14961),x14962),f42(f42(f9(a2),x14961),x14963)) % 5.66/5.58 [1498]P8(a3,x14982,x14983)+E(x14981,f5(a3))+~P8(a3,f42(f42(f9(a3),x14981),x14982),f42(f42(f9(a3),x14981),x14983)) % 5.66/5.58 [1585]~P1(x15851)+~P6(x15851,f10(x15851),x15852)+P6(x15851,f10(x15851),f42(f42(f22(x15851),x15852),f12(a2,x15853,f10(a2)))) % 5.66/5.58 [1600]P6(a1,x16001,x16002)+~P6(a1,f5(a1),x16003)+~P6(a1,f42(f42(f9(a1),x16001),x16003),f42(f42(f9(a1),x16002),x16003)) % 5.66/5.58 [1602]P6(a2,x16021,x16022)+~P6(a2,f5(a2),x16023)+~P6(a2,f42(f42(f22(a2),x16023),x16021),f42(f42(f22(a2),x16023),x16022)) % 5.66/5.58 [1603]P5(a1,x16031,x16032)+~P6(a1,f5(a1),x16033)+~P5(a1,f42(f42(f9(a1),x16033),x16031),f42(f42(f9(a1),x16033),x16032)) % 5.66/5.58 [1604]P5(a1,x16041,x16042)+~P6(a1,f5(a1),x16043)+~P5(a1,f42(f42(f9(a1),x16041),x16043),f42(f42(f9(a1),x16042),x16043)) % 5.66/5.58 [1606]P5(a2,x16061,x16062)+~P6(a2,f5(a2),x16063)+~P5(a2,f42(f42(f9(a2),x16063),x16061),f42(f42(f9(a2),x16063),x16062)) % 5.66/5.58 [1607]P5(a2,x16071,x16072)+~P6(a2,f10(a2),x16073)+~P8(a2,f42(f42(f22(a2),x16073),x16071),f42(f42(f22(a2),x16073),x16072)) % 5.66/5.58 [1608]P5(a2,x16081,x16082)+~P6(a2,f5(a2),x16083)+~P5(a2,f42(f42(f9(a2),x16081),x16083),f42(f42(f9(a2),x16082),x16083)) % 5.66/5.58 [1610]P8(a2,x16101,x16102)+~P6(a2,f5(a2),x16103)+~P8(a2,f42(f42(f9(a2),x16103),x16101),f42(f42(f9(a2),x16103),x16102)) % 5.66/5.58 [1707]~P57(x17071)+~E(x17072,f6(x17071,x17073))+E(f42(f42(f22(x17071),x17072),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))),f42(f42(f22(x17071),x17073),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2)))) % 5.66/5.58 [1788]~P57(x17882)+E(x17881,f5(f63(x17882)))+~P8(f63(x17882),f42(f42(f22(f63(x17882)),f18(x17882,f6(x17882,x17883),f18(x17882,f10(x17882),f5(f63(x17882))))),f12(a2,f19(x17882,x17883,x17881),f10(a2))),x17881) % 5.66/5.58 [1142]~P46(x11422)+E(x11421,f5(x11422))+E(f42(f42(f22(x11422),f14(x11422,x11421)),x11423),f14(x11422,f42(f42(f22(x11422),x11421),x11423))) % 5.66/5.58 [1506]~P52(x15062)+E(x15061,f5(x15062))+~E(f12(x15062,f42(f42(f9(x15062),x15063),x15063),f42(f42(f9(x15062),x15061),x15061)),f5(x15062)) % 5.66/5.58 [1507]~P52(x15072)+E(x15071,f5(x15072))+~E(f12(x15072,f42(f42(f9(x15072),x15071),x15071),f42(f42(f9(x15072),x15073),x15073)),f5(x15072)) % 5.66/5.58 [1515]~P27(x15152)+E(x15151,f5(a2))+E(f42(f42(f9(x15152),x15153),f42(f42(f22(x15152),x15153),f11(a2,x15151,f10(a2)))),f42(f42(f22(x15152),x15153),x15151)) % 5.66/5.58 [1569]~P1(x15691)+~P6(x15691,f10(x15691),x15692)+P6(x15691,f10(x15691),f42(f42(f9(x15691),x15692),f42(f42(f22(x15691),x15692),x15693))) % 5.66/5.58 [1660]~P1(x16601)+~P6(x16601,f10(x16601),x16602)+P6(x16601,f42(f42(f22(x16601),x16602),x16603),f42(f42(f9(x16601),x16602),f42(f42(f22(x16601),x16602),x16603))) % 5.66/5.58 [1665]~P52(x16652)+E(x16651,f5(x16652))+P6(x16652,f5(x16652),f12(x16652,f42(f42(f9(x16652),x16653),x16653),f42(f42(f9(x16652),x16651),x16651))) % 5.66/5.58 [1666]~P52(x16662)+E(x16661,f5(x16662))+P6(x16662,f5(x16662),f12(x16662,f42(f42(f9(x16662),x16661),x16661),f42(f42(f9(x16662),x16663),x16663))) % 5.66/5.58 [1667]~P57(x16671)+~E(f42(f15(x16671,x16673),f6(x16671,x16672)),f5(x16671))+P8(f63(x16671),f18(x16671,x16672,f18(x16671,f10(x16671),f5(f63(x16671)))),x16673) % 5.66/5.58 [1669]~P57(x16691)+~E(f42(f15(x16691,x16693),x16692),f5(x16691))+P8(f63(x16691),f18(x16691,f6(x16691,x16692),f18(x16691,f10(x16691),f5(f63(x16691)))),x16693) % 5.66/5.58 [1710]~P57(x17101)+E(f42(f15(x17101,x17102),f6(x17101,x17103)),f5(x17101))+~P8(f63(x17101),f18(x17101,x17103,f18(x17101,f10(x17101),f5(f63(x17101)))),x17102) % 5.66/5.58 [1714]~P57(x17141)+E(f42(f15(x17141,x17142),x17143),f5(x17141))+~P8(f63(x17141),f18(x17141,f6(x17141,x17143),f18(x17141,f10(x17141),f5(f63(x17141)))),x17142) % 5.66/5.58 [1717]~P52(x17172)+E(x17171,f5(x17172))+~P5(x17172,f12(x17172,f42(f42(f9(x17172),x17173),x17173),f42(f42(f9(x17172),x17171),x17171)),f5(x17172)) % 5.66/5.58 [1718]~P52(x17182)+E(x17181,f5(x17182))+~P5(x17182,f12(x17182,f42(f42(f9(x17182),x17181),x17181),f42(f42(f9(x17182),x17183),x17183)),f5(x17182)) % 5.66/5.58 [1712]~P14(x17121)+~P6(a2,f5(a2),x17123)+E(f42(f42(f9(x17121),f42(f42(f22(x17121),x17122),f11(a2,x17123,f10(a2)))),x17122),f42(f42(f22(x17121),x17122),x17123)) % 5.66/5.58 [1017]~P19(x10173)+E(x10171,x10172)+~E(f12(x10173,x10174,x10171),f12(x10173,x10174,x10172)) % 5.66/5.58 [1018]~P20(x10183)+E(x10181,x10182)+~E(f12(x10183,x10184,x10181),f12(x10183,x10184,x10182)) % 5.66/5.58 [1020]~P19(x10203)+E(x10201,x10202)+~E(f12(x10203,x10201,x10204),f12(x10203,x10202,x10204)) % 5.66/5.58 [1021]~P34(x10213)+E(x10211,x10212)+~E(f16(x10213,x10211,x10214),f16(x10213,x10212,x10214)) % 5.66/5.58 [1113]~P39(x11132)+~P6(f68(x11131,x11132),x11133,x11134)+P5(f68(x11131,x11132),x11133,x11134) % 5.66/5.58 [1225]~P39(x12251)+~P5(f68(x12252,x12251),x12254,x12253)+~P6(f68(x12252,x12251),x12253,x12254) % 5.66/5.58 [1241]~P50(x12411)+~P8(f63(x12411),x12412,x12414)+P8(f63(x12411),x12412,f24(x12411,x12413,x12414)) % 5.66/5.58 [1289]~P6(a2,x12893,x12894)+P6(a2,x12891,x12892)+~E(f12(a2,x12893,x12892),f12(a2,x12891,x12894)) % 5.66/5.58 [1358]~P50(x13581)+~P8(f63(x13581),f24(x13581,x13584,x13582),x13583)+P8(f63(x13581),x13582,x13583) % 5.66/5.58 [1401]~P30(x14011)+~P6(x14011,x14013,x14014)+P6(x14011,f12(x14011,x14012,x14013),f12(x14011,x14012,x14014)) % 5.66/5.58 [1402]~P33(x14021)+~P6(x14021,x14023,x14024)+P6(x14021,f12(x14021,x14022,x14023),f12(x14021,x14022,x14024)) % 5.66/5.58 [1403]~P30(x14031)+~P6(x14031,x14032,x14034)+P6(x14031,f12(x14031,x14032,x14033),f12(x14031,x14034,x14033)) % 5.66/5.58 [1404]~P33(x14041)+~P6(x14041,x14042,x14044)+P6(x14041,f12(x14041,x14042,x14043),f12(x14041,x14044,x14043)) % 5.66/5.58 [1405]~P30(x14051)+~P5(x14051,x14053,x14054)+P5(x14051,f12(x14051,x14052,x14053),f12(x14051,x14052,x14054)) % 5.66/5.58 [1406]~P31(x14061)+~P5(x14061,x14063,x14064)+P5(x14061,f12(x14061,x14062,x14063),f12(x14061,x14062,x14064)) % 5.66/5.58 [1407]~P30(x14071)+~P5(x14071,x14072,x14074)+P5(x14071,f12(x14071,x14072,x14073),f12(x14071,x14074,x14073)) % 5.66/5.58 [1408]~P31(x14081)+~P5(x14081,x14082,x14084)+P5(x14081,f12(x14081,x14082,x14083),f12(x14081,x14084,x14083)) % 5.66/5.58 [1508]~P6(a2,x15082,x15084)+~P6(a2,x15081,x15083)+P6(a2,f12(a2,x15081,x15082),f12(a2,x15083,x15084)) % 5.66/5.58 [1511]~P6(a3,x15111,x15113)+~P5(a3,x15112,x15114)+P6(a3,f12(a3,x15111,x15112),f12(a3,x15113,x15114)) % 5.66/5.58 [1512]~P5(a2,x15122,x15124)+~P5(a2,x15121,x15123)+P5(a2,f12(a2,x15121,x15122),f12(a2,x15123,x15124)) % 5.66/5.58 [1577]~P30(x15771)+P6(x15771,x15772,x15773)+~P6(x15771,f12(x15771,x15774,x15772),f12(x15771,x15774,x15773)) % 5.66/5.58 [1579]~P30(x15791)+P6(x15791,x15792,x15793)+~P6(x15791,f12(x15791,x15792,x15794),f12(x15791,x15793,x15794)) % 5.66/5.58 [1581]~P30(x15811)+P5(x15811,x15812,x15813)+~P5(x15811,f12(x15811,x15814,x15812),f12(x15811,x15814,x15813)) % 5.66/5.58 [1583]~P30(x15831)+P5(x15831,x15832,x15833)+~P5(x15831,f12(x15831,x15832,x15834),f12(x15831,x15833,x15834)) % 5.66/5.58 [1045]~P51(x10452)+~E(f18(x10452,x10453,x10451),f24(x10452,x10454,x10451))+E(x10451,f5(f63(x10452))) % 5.66/5.58 [1565]~P51(x15652)+~E(f12(f63(x15652),f24(x15652,x15653,x15651),f18(x15652,x15654,x15651)),f5(f63(x15652)))+E(x15651,f5(f63(x15652))) % 5.66/5.58 [1589]~E(x15893,f12(a2,x15894,x15892))+P77(f42(x15891,x15892))+~P77(f42(x15891,f11(a2,x15893,x15894))) % 5.66/5.58 [1784]~P39(x17842)+P5(f68(x17841,x17842),x17843,x17844)+~P5(x17842,f42(x17843,f41(x17844,x17843,x17841,x17842)),f42(x17844,f41(x17844,x17843,x17841,x17842))) % 5.66/5.58 [937]~P58(x9371)+P8(x9371,x9372,x9373)+~E(x9373,f42(f42(f9(x9371),x9372),x9374)) % 5.66/5.58 [1208]~P50(x12081)+~P8(x12081,x12082,x12084)+P8(x12081,x12082,f42(f42(f9(x12081),x12083),x12084)) % 5.66/5.58 [1209]~P50(x12091)+~P8(x12091,x12092,x12093)+P8(x12091,x12092,f42(f42(f9(x12091),x12093),x12094)) % 5.66/5.58 [1247]~P57(x12471)+~E(x12473,f5(x12471))+P8(x12471,f42(f42(f9(x12471),x12472),x12473),f42(f42(f9(x12471),x12474),x12473)) % 5.66/5.58 [1248]~P57(x12481)+~E(x12482,f5(x12481))+P8(x12481,f42(f42(f9(x12481),x12482),x12483),f42(f42(f9(x12481),x12482),x12484)) % 5.66/5.58 [1297]~P50(x12971)+P8(x12971,x12972,x12973)+~P8(x12971,f42(f42(f9(x12971),x12974),x12972),x12973) % 5.66/5.58 [1298]~P50(x12981)+P8(x12981,x12982,x12983)+~P8(x12981,f42(f42(f9(x12981),x12982),x12984),x12983) % 5.66/5.58 [1383]~P50(x13831)+~P5(a2,x13833,x13834)+P8(x13831,f42(f42(f22(x13831),x13832),x13833),f42(f42(f22(x13831),x13832),x13834)) % 5.66/5.58 [1390]~P57(x13901)+~P8(x13901,x13903,x13904)+P8(x13901,f42(f42(f9(x13901),x13902),x13903),f42(f42(f9(x13901),x13902),x13904)) % 5.66/5.58 [1391]~P57(x13911)+~P8(x13911,x13912,x13914)+P8(x13911,f42(f42(f9(x13911),x13912),x13913),f42(f42(f9(x13911),x13914),x13913)) % 5.66/5.58 [1392]~P50(x13921)+~P8(x13921,x13922,x13924)+P8(x13921,f42(f42(f22(x13921),x13922),x13923),f42(f42(f22(x13921),x13924),x13923)) % 5.66/5.58 [1461]~P5(a2,x14612,x14614)+~P5(a2,x14611,x14613)+P5(a2,f42(f42(f9(a2),x14611),x14612),f42(f42(f9(a2),x14613),x14614)) % 5.66/5.58 [1022]~P34(x10223)+E(x10221,x10222)+~E(f18(x10223,x10224,x10221),f18(x10223,x10225,x10222)) % 5.66/5.58 [1023]~P34(x10233)+E(x10231,x10232)+~E(f18(x10233,x10231,x10234),f18(x10233,x10232,x10235)) % 5.66/5.58 [1181]~P39(x11811)+P5(x11811,f42(x11812,x11813),f42(x11814,x11813))+~P5(f68(x11815,x11811),x11812,x11814) % 5.66/5.58 [1455]~P51(x14552)+~E(f12(f63(x14552),x14553,f24(x14552,x14554,x14555)),f18(x14552,x14551,x14555))+E(x14551,f42(f15(x14552,x14553),x14554)) % 5.66/5.58 [1483]~P51(x14832)+E(x14831,f25(x14832,x14833,x14834))+~E(f12(f63(x14832),x14833,f24(x14832,x14834,x14831)),f18(x14832,x14835,x14831)) % 5.66/5.58 [1620]~E(x16202,x16204)+~P76(x16201)+E(f12(x16201,f42(f42(f9(x16201),x16202),x16203),f42(f42(f9(x16201),x16204),x16205)),f12(x16201,f42(f42(f9(x16201),x16202),x16205),f42(f42(f9(x16201),x16204),x16203))) % 5.66/5.58 [1732]~P5(a2,x17323,x17322)+E(x17321,f12(a2,f42(f42(f9(a2),f11(a2,x17322,x17323)),x17324),x17325))+~E(f12(a2,f42(f42(f9(a2),x17323),x17324),x17321),f12(a2,f42(f42(f9(a2),x17322),x17324),x17325)) % 5.66/5.58 [1733]~P5(a2,x17332,x17331)+E(f12(a2,f42(f42(f9(a2),f11(a2,x17331,x17332)),x17333),x17334),x17335)+~E(f12(a2,f42(f42(f9(a2),x17331),x17333),x17334),f12(a2,f42(f42(f9(a2),x17332),x17333),x17335)) % 5.66/5.58 [1742]~P5(a2,x17424,x17421)+~E(x17425,f12(a2,f42(f42(f9(a2),f11(a2,x17421,x17424)),x17422),x17423))+E(f12(a2,f42(f42(f9(a2),x17421),x17422),x17423),f12(a2,f42(f42(f9(a2),x17424),x17422),x17425)) % 5.66/5.58 [1743]~P5(a2,x17434,x17431)+~E(f12(a2,f42(f42(f9(a2),f11(a2,x17431,x17434)),x17432),x17433),x17435)+E(f12(a2,f42(f42(f9(a2),x17431),x17432),x17433),f12(a2,f42(f42(f9(a2),x17434),x17432),x17435)) % 5.66/5.58 [1764]~P5(a2,x17643,x17642)+P6(a2,x17641,f12(a2,f42(f42(f9(a2),f11(a2,x17642,x17643)),x17644),x17645))+~P6(a2,f12(a2,f42(f42(f9(a2),x17643),x17644),x17641),f12(a2,f42(f42(f9(a2),x17642),x17644),x17645)) % 5.66/5.58 [1765]~P5(a2,x17653,x17652)+P5(a2,x17651,f12(a2,f42(f42(f9(a2),f11(a2,x17652,x17653)),x17654),x17655))+~P5(a2,f12(a2,f42(f42(f9(a2),x17653),x17654),x17651),f12(a2,f42(f42(f9(a2),x17652),x17654),x17655)) % 5.66/5.58 [1766]~P5(a2,x17662,x17661)+P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17661,x17662)),x17663),x17664),x17665)+~P6(a2,f12(a2,f42(f42(f9(a2),x17661),x17663),x17664),f12(a2,f42(f42(f9(a2),x17662),x17663),x17665)) % 5.66/5.58 [1767]~P5(a2,x17672,x17671)+P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17671,x17672)),x17673),x17674),x17675)+~P5(a2,f12(a2,f42(f42(f9(a2),x17671),x17673),x17674),f12(a2,f42(f42(f9(a2),x17672),x17673),x17675)) % 5.66/5.58 [1774]~P5(a2,x17741,x17744)+~P6(a2,x17743,f12(a2,f42(f42(f9(a2),f11(a2,x17744,x17741)),x17742),x17745))+P6(a2,f12(a2,f42(f42(f9(a2),x17741),x17742),x17743),f12(a2,f42(f42(f9(a2),x17744),x17742),x17745)) % 5.66/5.58 [1775]~P5(a2,x17751,x17754)+~P5(a2,x17753,f12(a2,f42(f42(f9(a2),f11(a2,x17754,x17751)),x17752),x17755))+P5(a2,f12(a2,f42(f42(f9(a2),x17751),x17752),x17753),f12(a2,f42(f42(f9(a2),x17754),x17752),x17755)) % 5.66/5.58 [1776]~P5(a2,x17764,x17761)+~P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17761,x17764)),x17762),x17763),x17765)+P6(a2,f12(a2,f42(f42(f9(a2),x17761),x17762),x17763),f12(a2,f42(f42(f9(a2),x17764),x17762),x17765)) % 5.66/5.58 [1777]~P5(a2,x17774,x17771)+~P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,x17771,x17774)),x17772),x17773),x17775)+P5(a2,f12(a2,f42(f42(f9(a2),x17771),x17772),x17773),f12(a2,f42(f42(f9(a2),x17774),x17772),x17775)) % 5.66/5.58 [1728]~P8(a3,x17281,x17284)+~P8(a3,x17281,f12(a3,x17282,x17285))+P8(a3,x17281,f12(a3,f12(a3,x17282,f42(f42(f9(a3),x17283),x17284)),x17285)) % 5.66/5.58 [1750]~P8(a3,x17501,x17504)+P8(a3,x17501,f12(a3,x17502,x17503))+~P8(a3,x17501,f12(a3,f12(a3,x17502,f42(f42(f9(a3),x17505),x17504)),x17503)) % 5.66/5.58 [1730]~P71(x17302)+~E(f12(x17302,f42(f42(f9(x17302),x17304),x17305),x17301),f12(x17302,f42(f42(f9(x17302),x17303),x17305),x17306))+E(x17301,f12(x17302,f42(f42(f9(x17302),f11(x17302,x17303,x17304)),x17305),x17306)) % 5.66/5.58 [1731]~P71(x17311)+~E(f12(x17311,f42(f42(f9(x17311),x17312),x17314),x17315),f12(x17311,f42(f42(f9(x17311),x17313),x17314),x17316))+E(f12(x17311,f42(f42(f9(x17311),f11(x17311,x17312,x17313)),x17314),x17315),x17316) % 5.66/5.58 [1740]~P71(x17401)+~E(x17406,f12(x17401,f42(f42(f9(x17401),f11(x17401,x17402,x17405)),x17403),x17404))+E(f12(x17401,f42(f42(f9(x17401),x17402),x17403),x17404),f12(x17401,f42(f42(f9(x17401),x17405),x17403),x17406)) % 5.66/5.58 [1741]~P71(x17411)+~E(f12(x17411,f42(f42(f9(x17411),f11(x17411,x17412,x17415)),x17413),x17414),x17416)+E(f12(x17411,f42(f42(f9(x17411),x17412),x17413),x17414),f12(x17411,f42(f42(f9(x17411),x17415),x17413),x17416)) % 5.66/5.58 [1768]~P66(x17681)+~P6(x17681,f12(x17681,f42(f42(f9(x17681),x17684),x17685),x17682),f12(x17681,f42(f42(f9(x17681),x17683),x17685),x17686))+P6(x17681,x17682,f12(x17681,f42(f42(f9(x17681),f11(x17681,x17683,x17684)),x17685),x17686)) % 5.66/5.58 [1769]~P66(x17691)+~P5(x17691,f12(x17691,f42(f42(f9(x17691),x17694),x17695),x17692),f12(x17691,f42(f42(f9(x17691),x17693),x17695),x17696))+P5(x17691,x17692,f12(x17691,f42(f42(f9(x17691),f11(x17691,x17693,x17694)),x17695),x17696)) % 5.66/5.58 [1770]~P66(x17701)+~P6(x17701,f12(x17701,f42(f42(f9(x17701),x17702),x17704),x17705),f12(x17701,f42(f42(f9(x17701),x17703),x17704),x17706))+P6(x17701,f12(x17701,f42(f42(f9(x17701),f11(x17701,x17702,x17703)),x17704),x17705),x17706) % 5.66/5.58 [1771]~P66(x17711)+~P5(x17711,f12(x17711,f42(f42(f9(x17711),x17712),x17714),x17715),f12(x17711,f42(f42(f9(x17711),x17713),x17714),x17716))+P5(x17711,f12(x17711,f42(f42(f9(x17711),f11(x17711,x17712,x17713)),x17714),x17715),x17716) % 5.66/5.58 [1778]~P66(x17781)+~P6(x17781,x17784,f12(x17781,f42(f42(f9(x17781),f11(x17781,x17785,x17782)),x17783),x17786))+P6(x17781,f12(x17781,f42(f42(f9(x17781),x17782),x17783),x17784),f12(x17781,f42(f42(f9(x17781),x17785),x17783),x17786)) % 5.66/5.58 [1779]~P66(x17791)+~P5(x17791,x17794,f12(x17791,f42(f42(f9(x17791),f11(x17791,x17795,x17792)),x17793),x17796))+P5(x17791,f12(x17791,f42(f42(f9(x17791),x17792),x17793),x17794),f12(x17791,f42(f42(f9(x17791),x17795),x17793),x17796)) % 5.66/5.58 [1780]~P66(x17801)+~P6(x17801,f12(x17801,f42(f42(f9(x17801),f11(x17801,x17802,x17805)),x17803),x17804),x17806)+P6(x17801,f12(x17801,f42(f42(f9(x17801),x17802),x17803),x17804),f12(x17801,f42(f42(f9(x17801),x17805),x17803),x17806)) % 5.66/5.58 [1781]~P66(x17811)+~P5(x17811,f12(x17811,f42(f42(f9(x17811),f11(x17811,x17812,x17815)),x17813),x17814),x17816)+P5(x17811,f12(x17811,f42(f42(f9(x17811),x17812),x17813),x17814),f12(x17811,f42(f42(f9(x17811),x17815),x17813),x17816)) % 5.66/5.58 [900]~P36(x9002)+~P6(x9002,f5(x9002),x9001)+E(f13(x9002,x9001),f10(x9002))+E(x9001,f5(x9002)) % 5.66/5.58 [1095]~P12(x10952)+~P6(x10952,f14(x10952,x10951),f5(x10952))+P6(x10952,x10951,f5(x10952))+E(x10951,f5(x10952)) % 5.66/5.58 [1096]~P12(x10962)+~P6(x10962,f5(x10962),f14(x10962,x10961))+P6(x10962,f5(x10962),x10961)+E(x10961,f5(x10962)) % 5.66/5.58 [1229]~P11(x12291)+P6(x12291,f10(x12291),x12292)+~P6(x12291,f14(x12291,x12292),f10(x12291))+P5(x12291,x12292,f5(x12291)) % 5.66/5.58 [1230]~P11(x12301)+P5(x12301,f10(x12301),x12302)+~P5(x12301,f14(x12301,x12302),f10(x12301))+P5(x12301,x12302,f5(x12301)) % 5.66/5.58 [1258]~P11(x12581)+~P6(x12581,x12582,f10(x12581))+~P6(x12581,f5(x12581),x12582)+P6(x12581,f10(x12581),f14(x12581,x12582)) % 5.66/5.58 [1259]~P12(x12591)+~P6(x12591,x12592,f10(x12591))+~P6(x12591,f5(x12591),x12592)+P6(x12591,f10(x12591),f14(x12591,x12592)) % 5.66/5.58 [1260]~P11(x12601)+~P5(x12601,x12602,f10(x12601))+~P6(x12601,f5(x12601),x12602)+P5(x12601,f10(x12601),f14(x12601,x12602)) % 5.66/5.58 [1261]~P12(x12611)+~P5(x12611,x12612,f10(x12611))+~P6(x12611,f5(x12611),x12612)+P5(x12611,f10(x12611),f14(x12611,x12612)) % 5.66/5.58 [771]P9(x7712,x7711)+~P54(x7712)+P9(x7712,f6(f63(x7712),x7711))+E(x7711,f5(f63(x7712))) % 5.66/5.58 [854]~P36(x8542)+P6(x8542,f5(x8542),x8541)+E(x8541,f5(x8542))+E(f13(x8542,x8541),f6(x8542,f10(x8542))) % 5.66/5.58 [998]~P54(x9982)+~P6(f63(x9982),f5(f63(x9982)),x9981)+E(f13(f63(x9982),x9981),f10(f63(x9982)))+E(x9981,f5(f63(x9982))) % 5.66/5.58 [772]~P27(x7722)+~P75(x7722)+E(x7721,f5(a2))+E(f42(f42(f22(x7722),f5(x7722)),x7721),f5(x7722)) % 5.66/5.58 [895]~P70(x8952)+E(x8951,f10(x8952))+E(x8951,f6(x8952,f10(x8952)))+~E(f42(f42(f9(x8952),x8951),x8951),f10(x8952)) % 5.66/5.58 [943]~E(x9432,f10(a3))+~E(x9431,f10(a3))+~P6(a3,f5(a3),x9431)+E(f42(f42(f9(a3),x9431),x9432),f10(a3)) % 5.66/5.58 [966]~P54(x9662)+P6(f63(x9662),f5(f63(x9662)),x9661)+E(x9661,f5(f63(x9662)))+E(f13(f63(x9662),x9661),f6(f63(x9662),f10(f63(x9662)))) % 5.66/5.58 [881]P6(x8813,x8811,x8812)+~P54(x8813)+E(x8811,x8812)+P6(x8813,x8812,x8811) % 5.66/5.58 [887]P6(x8873,x8871,x8872)+~P40(x8873)+E(x8871,x8872)+P6(x8873,x8872,x8871) % 5.66/5.58 [889]P5(x8891,x8892,x8893)+~E(x8892,x8893)+~P40(x8891)+P6(x8891,x8892,x8893) % 5.66/5.58 [946]~P43(x9463)+~P5(x9463,x9462,x9461)+E(x9461,x9462)+P6(x9463,x9462,x9461) % 5.66/5.58 [948]~P40(x9483)+~P5(x9483,x9481,x9482)+E(x9481,x9482)+P6(x9483,x9481,x9482) % 5.66/5.58 [954]~P43(x9543)+~P5(x9543,x9541,x9542)+E(x9541,x9542)+P6(x9543,x9541,x9542) % 5.66/5.58 [1028]~P5(x10283,x10282,x10281)+~P5(x10283,x10281,x10282)+E(x10281,x10282)+~P43(x10283) % 5.66/5.58 [1080]P5(x10801,x10803,x10802)+~P38(x10801)+~P5(x10801,x10802,x10803)+P6(x10801,x10802,x10803) % 5.66/5.58 [699]~P57(x6993)+~P37(x6993)+E(x6991,x6992)+~E(f15(x6993,x6991),f15(x6993,x6992)) % 5.66/5.58 [1243]~P54(x12431)+P9(x12431,x12432)+P6(x12431,f5(x12431),x12433)+~P9(x12431,f18(x12431,x12433,x12432)) % 5.66/5.58 [1274]~P12(x12741)+~P6(x12741,x12743,x12742)+~P6(x12741,x12742,f5(x12741))+P6(x12741,f14(x12741,x12742),f14(x12741,x12743)) % 5.66/5.58 [1275]~P12(x12751)+~P5(x12751,x12753,x12752)+~P6(x12751,x12752,f5(x12751))+P5(x12751,f14(x12751,x12752),f14(x12751,x12753)) % 5.66/5.58 [1276]~P12(x12761)+~P6(x12761,x12763,x12762)+~P6(x12761,f5(x12761),x12763)+P6(x12761,f14(x12761,x12762),f14(x12761,x12763)) % 5.66/5.58 [1277]~P12(x12771)+~P5(x12771,x12773,x12772)+~P6(x12771,f5(x12771),x12773)+P5(x12771,f14(x12771,x12772),f14(x12771,x12773)) % 5.66/5.58 [1337]~P12(x13371)+P6(x13371,x13372,x13373)+~P6(x13371,x13372,f5(x13371))+~P6(x13371,f14(x13371,x13373),f14(x13371,x13372)) % 5.66/5.58 [1338]~P12(x13381)+P5(x13381,x13382,x13383)+~P6(x13381,x13382,f5(x13381))+~P5(x13381,f14(x13381,x13383),f14(x13381,x13382)) % 5.66/5.58 [1339]~P12(x13391)+P6(x13391,x13392,x13393)+~P6(x13391,f5(x13391),x13393)+~P6(x13391,f14(x13391,x13393),f14(x13391,x13392)) % 5.66/5.58 [1340]~P12(x13401)+P5(x13401,x13402,x13403)+~P6(x13401,f5(x13401),x13403)+~P5(x13401,f14(x13401,x13403),f14(x13401,x13402)) % 5.66/5.58 [1360]E(x13601,x13602)+~P5(a2,x13603,x13602)+~P5(a2,x13603,x13601)+~E(f11(a2,x13601,x13603),f11(a2,x13602,x13603)) % 5.66/5.58 [1429]~P28(x14291)+~P6(x14291,f5(x14291),x14293)+~P6(x14291,f5(x14291),x14292)+P6(x14291,f5(x14291),f12(x14291,x14292,x14293)) % 5.66/5.58 [1433]~P28(x14331)+~P6(x14331,x14333,f5(x14331))+~P6(x14331,x14332,f5(x14331))+P6(x14331,f12(x14331,x14332,x14333),f5(x14331)) % 5.66/5.58 [1434]~P28(x14341)+~P6(x14341,x14343,f5(x14341))+~P5(x14341,x14342,f5(x14341))+P6(x14341,f12(x14341,x14342,x14343),f5(x14341)) % 5.66/5.58 [1435]~P28(x14351)+~P6(x14351,x14352,f5(x14351))+~P5(x14351,x14353,f5(x14351))+P6(x14351,f12(x14351,x14352,x14353),f5(x14351)) % 5.66/5.58 [1436]~P28(x14361)+~P5(x14361,x14363,f5(x14361))+~P5(x14361,x14362,f5(x14361))+P5(x14361,f12(x14361,x14362,x14363),f5(x14361)) % 5.66/5.58 [1566]~P8(a2,x15661,x15663)+P8(a2,x15661,x15662)+~P5(a2,x15662,x15663)+~P8(a2,x15661,f11(a2,x15663,x15662)) % 5.66/5.58 [1567]~P8(a2,x15671,x15673)+P8(a2,x15671,x15672)+~P5(a2,x15673,x15672)+~P8(a2,x15671,f11(a2,x15672,x15673)) % 5.66/5.58 [1681]~P5(a2,x16813,x16811)+P6(a2,x16811,x16812)+~P5(a2,x16813,x16812)+~P6(a2,f11(a2,x16811,x16813),f11(a2,x16812,x16813)) % 5.66/5.58 [1682]~P5(a2,x16823,x16821)+P5(a2,x16821,x16822)+~P5(a2,x16823,x16822)+~P5(a2,f11(a2,x16821,x16823),f11(a2,x16822,x16823)) % 5.66/5.58 [834]~P34(x8341)+~E(x8342,f5(x8341))+~E(x8343,f5(f63(x8341)))+E(f18(x8341,x8342,x8343),f5(f63(x8341))) % 5.66/5.58 [899]~P57(x8992)+E(x8991,f5(x8992))+~E(f24(x8992,x8991,x8993),f5(f63(x8992)))+E(x8993,f5(f63(x8992))) % 5.66/5.58 [1003]~P57(x10032)+~E(f19(x10032,x10033,x10031),f5(a2))+~E(f42(f15(x10032,x10031),x10033),f5(x10032))+E(x10031,f5(f63(x10032))) % 5.66/5.58 [1039]~P54(x10391)+~P9(x10391,x10393)+~P9(x10391,x10392)+P9(x10391,f12(f63(x10391),x10392,x10393)) % 5.66/5.58 [1128]P9(x11282,x11281)+~P54(x11282)+~P9(x11282,f18(x11282,x11283,x11281))+E(x11281,f5(f63(x11282))) % 5.66/5.58 [1163]~P54(x11633)+E(x11631,x11632)+~P5(f63(x11633),x11631,x11632)+P9(x11633,f11(f63(x11633),x11632,x11631)) % 5.66/5.58 [1185]~P54(x11851)+~P6(x11851,f5(x11851),x11852)+P9(x11851,f18(x11851,x11852,x11853))+~E(x11853,f5(f63(x11851))) % 5.66/5.58 [1441]~P2(x14411)+~P5(a1,x14413,f21(x14411,x14412))+~P6(a1,f5(a1),x14413)+P5(a1,f21(x14411,f14(x14411,x14412)),f14(a1,x14413)) % 5.66/5.58 [1725]~P46(x17252)+E(x17251,f5(x17252))+E(x17253,f5(x17252))+E(f42(f42(f9(x17252),f42(f42(f9(x17252),f14(x17252,x17253)),f12(x17252,x17253,x17251))),f14(x17252,x17251)),f12(x17252,f14(x17252,x17253),f14(x17252,x17251))) % 5.66/5.58 [1726]~P46(x17262)+E(x17261,f5(x17262))+E(x17263,f5(x17262))+E(f42(f42(f9(x17262),f42(f42(f9(x17262),f14(x17262,x17263)),f11(x17262,x17261,x17263))),f14(x17262,x17261)),f11(x17262,f14(x17262,x17263),f14(x17262,x17261))) % 5.66/5.58 [1748]~P4(x17482)+E(x17481,f5(x17482))+E(x17483,f5(x17482))+E(f42(f42(f9(x17482),f42(f42(f9(x17482),f12(x17482,x17483,x17481)),f14(x17482,x17483))),f14(x17482,x17481)),f12(x17482,f14(x17482,x17483),f14(x17482,x17481))) % 5.66/5.58 [846]~P64(x8462)+E(x8461,f5(x8462))+E(x8463,f5(x8462))+~E(f42(f42(f9(x8462),x8463),x8461),f5(x8462)) % 5.66/5.58 [847]~P69(x8472)+E(x8471,f5(x8472))+E(x8473,f5(x8472))+~E(f42(f42(f9(x8472),x8473),x8471),f5(x8472)) % 5.66/5.58 [1040]~P57(x10403)+E(x10401,x10402)+E(x10401,f6(x10403,x10402))+~E(f42(f42(f9(x10403),x10401),x10401),f42(f42(f9(x10403),x10402),x10402)) % 5.66/5.58 [1393]~P1(x13931)+~P6(x13931,f10(x13931),x13932)+~P6(a2,f5(a2),x13933)+P6(x13931,f10(x13931),f42(f42(f22(x13931),x13932),x13933)) % 5.66/5.58 [1409]~P52(x14091)+~P6(x14091,x14093,f5(x14091))+~P6(x14091,x14092,f5(x14091))+P6(x14091,f5(x14091),f42(f42(f9(x14091),x14092),x14093)) % 5.66/5.58 [1411]~P66(x14111)+~P5(x14111,x14113,f5(x14111))+~P5(x14111,x14112,f5(x14111))+P5(x14111,f5(x14111),f42(f42(f9(x14111),x14112),x14113)) % 5.66/5.58 [1412]~P52(x14121)+~P5(x14121,x14123,f5(x14121))+~P5(x14121,x14122,f5(x14121))+P5(x14121,f5(x14121),f42(f42(f9(x14121),x14122),x14123)) % 5.66/5.58 [1413]~P60(x14131)+~P6(x14131,f5(x14131),x14133)+~P6(x14131,f5(x14131),x14132)+P6(x14131,f5(x14131),f42(f42(f9(x14131),x14132),x14133)) % 5.66/5.58 [1414]~P1(x14141)+~P6(x14141,f10(x14141),x14143)+~P6(x14141,f10(x14141),x14142)+P6(x14141,f10(x14141),f42(f42(f9(x14141),x14142),x14143)) % 5.66/5.58 [1415]~P59(x14151)+~P5(x14151,f5(x14151),x14153)+~P5(x14151,f5(x14151),x14152)+P5(x14151,f5(x14151),f42(f42(f9(x14151),x14152),x14153)) % 5.66/5.58 [1416]~P66(x14161)+~P5(x14161,f5(x14161),x14163)+~P5(x14161,f5(x14161),x14162)+P5(x14161,f5(x14161),f42(f42(f9(x14161),x14162),x14163)) % 5.66/5.58 [1417]~P52(x14171)+~P5(x14171,f5(x14171),x14173)+~P5(x14171,f5(x14171),x14172)+P5(x14171,f5(x14171),f42(f42(f9(x14171),x14172),x14173)) % 5.66/5.58 [1419]~P60(x14191)+~P6(x14191,x14193,f5(x14191))+~P6(x14191,f5(x14191),x14192)+P6(x14191,f42(f42(f9(x14191),x14192),x14193),f5(x14191)) % 5.66/5.58 [1420]~P60(x14201)+~P6(x14201,x14202,f5(x14201))+~P6(x14201,f5(x14201),x14203)+P6(x14201,f42(f42(f9(x14201),x14202),x14203),f5(x14201)) % 5.66/5.58 [1423]~P59(x14231)+~P5(x14231,x14233,f5(x14231))+~P5(x14231,f5(x14231),x14232)+P5(x14231,f42(f42(f9(x14231),x14232),x14233),f5(x14231)) % 5.66/5.58 [1425]~P59(x14251)+~P5(x14251,x14252,f5(x14251))+~P5(x14251,f5(x14251),x14253)+P5(x14251,f42(f42(f9(x14251),x14252),x14253),f5(x14251)) % 5.66/5.58 [1426]~P52(x14261)+~P5(x14261,x14263,f5(x14261))+~P5(x14261,f5(x14261),x14262)+P5(x14261,f42(f42(f9(x14261),x14262),x14263),f5(x14261)) % 5.66/5.58 [1427]~P52(x14271)+~P5(x14271,x14272,f5(x14271))+~P5(x14271,f5(x14271),x14273)+P5(x14271,f42(f42(f9(x14271),x14272),x14273),f5(x14271)) % 5.66/5.58 [1445]~P52(x14451)+P5(x14451,x14452,f5(x14451))+P5(x14451,x14453,f5(x14451))+~P5(x14451,f42(f42(f9(x14451),x14453),x14452),f5(x14451)) % 5.66/5.58 [1446]~P52(x14461)+P5(x14461,x14462,f5(x14461))+P5(x14461,f5(x14461),x14463)+~P5(x14461,f5(x14461),f42(f42(f9(x14461),x14463),x14462)) % 5.66/5.58 [1447]~P52(x14471)+P5(x14471,x14472,f5(x14471))+P5(x14471,f5(x14471),x14473)+~P5(x14471,f5(x14471),f42(f42(f9(x14471),x14472),x14473)) % 5.66/5.58 [1448]~P52(x14481)+P5(x14481,f5(x14481),x14482)+P5(x14481,x14482,f5(x14481))+~P5(x14481,f5(x14481),f42(f42(f9(x14481),x14483),x14482)) % 5.66/5.58 [1449]~P52(x14491)+P5(x14491,f5(x14491),x14492)+P5(x14491,x14492,f5(x14491))+~P5(x14491,f5(x14491),f42(f42(f9(x14491),x14492),x14493)) % 5.66/5.58 [1450]~P52(x14501)+P5(x14501,f5(x14501),x14502)+P5(x14501,x14502,f5(x14501))+~P5(x14501,f42(f42(f9(x14501),x14503),x14502),f5(x14501)) % 5.66/5.58 [1451]~P52(x14511)+P5(x14511,f5(x14511),x14512)+P5(x14511,x14512,f5(x14511))+~P5(x14511,f42(f42(f9(x14511),x14512),x14513),f5(x14511)) % 5.66/5.58 [1452]~P52(x14521)+P5(x14521,f5(x14521),x14522)+P5(x14521,f5(x14521),x14523)+~P5(x14521,f42(f42(f9(x14521),x14522),x14523),f5(x14521)) % 5.66/5.58 [1491]~P60(x14911)+P6(x14911,f5(x14911),x14912)+~P6(x14911,f5(x14911),x14913)+~P6(x14911,f5(x14911),f42(f42(f9(x14911),x14913),x14912)) % 5.66/5.58 [1492]~P60(x14921)+P6(x14921,f5(x14921),x14922)+~P6(x14921,f5(x14921),x14923)+~P6(x14921,f5(x14921),f42(f42(f9(x14921),x14922),x14923)) % 5.66/5.58 [1745]~P57(x17453)+E(x17451,x17452)+E(x17451,f6(x17453,x17452))+~E(f42(f42(f22(x17453),x17451),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2))),f42(f42(f22(x17453),x17452),f12(a2,f12(a2,f5(a2),f10(a2)),f10(a2)))) % 5.66/5.58 [1760]~P46(x17602)+E(x17601,f5(x17602))+E(x17603,f5(x17602))+E(f6(x17602,f42(f42(f9(x17602),f42(f42(f9(x17602),f14(x17602,x17603)),f11(x17602,x17603,x17601))),f14(x17602,x17601))),f11(x17602,f14(x17602,x17603),f14(x17602,x17601))) % 5.66/5.58 [1117]~P54(x11171)+~P9(x11171,x11173)+~P9(x11171,x11172)+P9(x11171,f42(f42(f9(f63(x11171)),x11172),x11173)) % 5.66/5.58 [1228]~P46(x12282)+E(x12281,f5(x12282))+E(x12283,f5(x12282))+E(f42(f42(f9(x12282),f14(x12282,x12281)),f14(x12282,x12283)),f14(x12282,f42(f42(f9(x12282),x12283),x12281))) % 5.66/5.58 [1265]~P52(x12651)+~E(x12653,f5(x12651))+~E(x12652,f5(x12651))+E(f12(x12651,f42(f42(f9(x12651),x12652),x12652),f42(f42(f9(x12651),x12653),x12653)),f5(x12651)) % 5.66/5.58 [1559]~P6(a3,x15592,x15593)+~P6(a3,f5(a3),x15593)+P5(a3,f10(a3),x15591)+~E(f12(a3,x15592,f42(f42(f9(a3),x15593),x15591)),x15593) % 5.66/5.58 [1562]~P6(a3,f5(a3),x15623)+~P5(a3,f5(a3),x15622)+P5(a3,x15621,f10(a3))+~E(f12(a3,x15622,f42(f42(f9(a3),x15623),x15621)),x15623) % 5.66/5.58 [1668]~P52(x16681)+~E(x16683,f5(x16681))+~E(x16682,f5(x16681))+P5(x16681,f12(x16681,f42(f42(f9(x16681),x16682),x16682),f42(f42(f9(x16681),x16683),x16683)),f5(x16681)) % 5.66/5.58 [1687]~P1(x16871)+~P6(x16871,x16872,f10(x16871))+~P6(x16871,f5(x16871),x16872)+P6(x16871,f42(f42(f9(x16871),x16872),f42(f42(f22(x16871),x16872),x16873)),f42(f42(f22(x16871),x16872),x16873)) % 5.66/5.58 [1701]~P6(a3,x17012,x17013)+~P6(a3,f5(a3),x17013)+P5(a3,f5(a3),x17011)+~P5(a3,f5(a3),f12(a3,f42(f42(f9(a3),x17013),x17011),x17012)) % 5.66/5.58 [1702]P5(a3,x17021,f5(a3))+~P6(a3,f5(a3),x17022)+~P5(a3,f5(a3),x17023)+~P6(a3,f12(a3,f42(f42(f9(a3),x17022),x17021),x17023),f5(a3)) % 5.66/5.58 [1720]~P52(x17202)+~E(x17201,f5(x17202))+~E(x17203,f5(x17202))+~P6(x17202,f5(x17202),f12(x17202,f42(f42(f9(x17202),x17203),x17203),f42(f42(f9(x17202),x17201),x17201))) % 5.66/5.58 [1146]~P43(x11461)+~P6(x11461,x11464,x11463)+P6(x11461,x11462,x11463)+~P6(x11461,x11462,x11464) % 5.66/5.58 [1147]~P43(x11471)+~P5(x11471,x11474,x11473)+P6(x11471,x11472,x11473)+~P6(x11471,x11472,x11474) % 5.66/5.58 [1148]~P43(x11481)+~P5(x11481,x11482,x11484)+P6(x11481,x11482,x11483)+~P6(x11481,x11484,x11483) % 5.66/5.58 [1149]~P38(x11491)+~P6(x11491,x11492,x11494)+P6(x11491,x11492,x11493)+~P6(x11491,x11494,x11493) % 5.66/5.58 [1150]~P38(x11501)+~P5(x11501,x11502,x11504)+P6(x11501,x11502,x11503)+~P6(x11501,x11504,x11503) % 5.66/5.58 [1151]~P38(x11511)+~P5(x11511,x11514,x11513)+P6(x11511,x11512,x11513)+~P6(x11511,x11512,x11514) % 5.66/5.58 [1152]~P43(x11521)+~P5(x11521,x11524,x11523)+P5(x11521,x11522,x11523)+~P5(x11521,x11522,x11524) % 5.66/5.58 [1153]~P38(x11531)+~P5(x11531,x11532,x11534)+P5(x11531,x11532,x11533)+~P5(x11531,x11534,x11533) % 5.66/5.58 [1154]~P50(x11541)+~P8(x11541,x11542,x11544)+P8(x11541,x11542,x11543)+~P8(x11541,x11544,x11543) % 5.66/5.58 [1119]~P43(x11191)+~P10(x11191,x11192)+~P5(a2,x11194,x11193)+P5(x11191,f42(x11192,x11193),f42(x11192,x11194)) % 5.66/5.58 [1249]~P4(x12492)+~P8(f63(x12492),x12493,x12494)+P8(f63(x12492),x12493,f24(x12492,x12491,x12494))+E(x12491,f5(x12492)) % 5.66/5.58 [1251]~P4(x12512)+~P8(f63(x12512),x12513,x12514)+P8(f63(x12512),f24(x12512,x12511,x12513),x12514)+E(x12511,f5(x12512)) % 5.66/5.58 [1273]~P39(x12732)+P5(f68(x12731,x12732),x12734,x12733)+~P5(f68(x12731,x12732),x12733,x12734)+P6(f68(x12731,x12732),x12733,x12734) % 5.66/5.58 [1363]~P4(x13632)+~P8(f63(x13632),x13633,f24(x13632,x13631,x13634))+P8(f63(x13632),x13633,x13634)+E(x13631,f5(x13632)) % 5.66/5.58 [1364]~P4(x13642)+~P8(f63(x13642),f24(x13642,x13641,x13643),x13644)+P8(f63(x13642),x13643,x13644)+E(x13641,f5(x13642)) % 5.66/5.58 [1369]~P50(x13691)+~P8(x13691,x13692,x13694)+~P8(x13691,x13692,x13693)+P8(x13691,x13692,f12(x13691,x13693,x13694)) % 5.66/5.58 [1370]~P48(x13701)+~P8(x13701,x13702,x13704)+~P8(x13701,x13702,x13703)+P8(x13701,x13702,f11(x13701,x13703,x13704)) % 5.66/5.58 [1384]~P1(x13841)+~P6(x13841,x13842,x13844)+~P6(x13841,f5(x13841),x13843)+P6(x13841,x13842,f12(x13841,x13843,x13844)) % 5.66/5.58 [1385]~P28(x13851)+~P6(x13851,x13852,x13854)+~P5(x13851,f5(x13851),x13853)+P6(x13851,x13852,f12(x13851,x13853,x13854)) % 5.66/5.58 [1386]~P28(x13861)+~P5(x13861,x13862,x13864)+~P6(x13861,f5(x13861),x13863)+P6(x13861,x13862,f12(x13861,x13863,x13864)) % 5.66/5.58 [1387]~P28(x13871)+~P5(x13871,x13872,x13873)+~P5(x13871,f5(x13871),x13874)+P5(x13871,x13872,f12(x13871,x13873,x13874)) % 5.66/5.58 [1388]~P28(x13881)+~P5(x13881,x13882,x13884)+~P5(x13881,f5(x13881),x13883)+P5(x13881,x13882,f12(x13881,x13883,x13884)) % 5.66/5.58 [1076]~P4(x10761)+P8(f63(x10761),f24(x10761,x10762,x10763),x10764)+~E(x10762,f5(x10761))+~E(x10764,f5(f63(x10761))) % 5.66/5.58 [1266]~P4(x12661)+~P8(f63(x12661),x12663,x12664)+P8(f63(x12661),f24(x12661,x12662,x12663),x12664)+~E(x12664,f5(f63(x12661))) % 5.66/5.58 [1271]~P4(x12712)+~P8(f63(x12712),f24(x12712,x12713,x12714),x12711)+~E(x12713,f5(x12712))+E(x12711,f5(f63(x12712))) % 5.66/5.58 [1549]~P45(x15492)+E(x15491,f5(x15492))+~P5(a1,x15493,f5(a1))+~P5(a1,f21(x15492,x15491),f42(f42(f9(a1),x15493),f21(x15492,x15494))) % 5.66/5.58 [1234]~P1(x12343)+E(x12341,x12342)+~P6(x12343,f10(x12343),x12344)+~E(f42(f42(f22(x12343),x12344),x12341),f42(f42(f22(x12343),x12344),x12342)) % 5.66/5.58 [1522]~P1(x15221)+~P6(a2,x15223,x15224)+~P6(x15221,f10(x15221),x15222)+P6(x15221,f42(f42(f22(x15221),x15222),x15223),f42(f42(f22(x15221),x15222),x15224)) % 5.66/5.58 [1523]~P1(x15231)+~P5(a2,x15233,x15234)+~P6(x15231,f10(x15231),x15232)+P5(x15231,f42(f42(f22(x15231),x15232),x15233),f42(f42(f22(x15231),x15232),x15234)) % 5.66/5.58 [1524]~P1(x15241)+~P5(a2,x15243,x15244)+~P5(x15241,f10(x15241),x15242)+P5(x15241,f42(f42(f22(x15241),x15242),x15243),f42(f42(f22(x15241),x15242),x15244)) % 5.66/5.58 [1533]~P52(x15331)+~P6(x15331,x15334,x15332)+~P6(x15331,x15333,f5(x15331))+P6(x15331,f42(f42(f9(x15331),x15332),x15333),f42(f42(f9(x15331),x15334),x15333)) % 5.66/5.58 [1534]~P52(x15341)+~P6(x15341,x15344,x15343)+~P6(x15341,x15342,f5(x15341))+P6(x15341,f42(f42(f9(x15341),x15342),x15343),f42(f42(f9(x15341),x15342),x15344)) % 5.66/5.58 [1535]~P66(x15351)+~P5(x15351,x15354,x15353)+~P5(x15351,x15352,f5(x15351))+P5(x15351,f42(f42(f9(x15351),x15352),x15353),f42(f42(f9(x15351),x15352),x15354)) % 5.66/5.58 [1536]~P52(x15361)+~P5(x15361,x15364,x15363)+~P6(x15361,x15362,f5(x15361))+P5(x15361,f42(f42(f9(x15361),x15362),x15363),f42(f42(f9(x15361),x15362),x15364)) % 5.66/5.58 [1537]~P66(x15371)+~P5(x15371,x15374,x15372)+~P5(x15371,x15373,f5(x15371))+P5(x15371,f42(f42(f9(x15371),x15372),x15373),f42(f42(f9(x15371),x15374),x15373)) % 5.66/5.58 [1539]~P60(x15391)+~P6(x15391,x15393,x15394)+~P6(x15391,f5(x15391),x15392)+P6(x15391,f42(f42(f9(x15391),x15392),x15393),f42(f42(f9(x15391),x15392),x15394)) % 5.66/5.58 [1540]~P56(x15401)+~P6(x15401,x15403,x15404)+~P6(x15401,f5(x15401),x15402)+P6(x15401,f42(f42(f9(x15401),x15402),x15403),f42(f42(f9(x15401),x15402),x15404)) % 5.66/5.58 [1541]~P52(x15411)+~P6(x15411,x15412,x15414)+~P6(x15411,f5(x15411),x15413)+P6(x15411,f42(f42(f9(x15411),x15412),x15413),f42(f42(f9(x15411),x15414),x15413)) % 5.66/5.58 [1542]~P60(x15421)+~P6(x15421,x15422,x15424)+~P6(x15421,f5(x15421),x15423)+P6(x15421,f42(f42(f9(x15421),x15422),x15423),f42(f42(f9(x15421),x15424),x15423)) % 5.66/5.58 [1543]~P52(x15431)+~P6(x15431,x15433,x15434)+~P6(x15431,f5(x15431),x15432)+P6(x15431,f42(f42(f9(x15431),x15432),x15433),f42(f42(f9(x15431),x15432),x15434)) % 5.66/5.58 [1544]~P68(x15441)+~P5(x15441,x15443,x15444)+~P5(x15441,f5(x15441),x15442)+P5(x15441,f42(f42(f9(x15441),x15442),x15443),f42(f42(f9(x15441),x15442),x15444)) % 5.66/5.58 [1545]~P67(x15451)+~P5(x15451,x15453,x15454)+~P5(x15451,f5(x15451),x15452)+P5(x15451,f42(f42(f9(x15451),x15452),x15453),f42(f42(f9(x15451),x15452),x15454)) % 5.66/5.58 [1546]~P52(x15461)+~P5(x15461,x15463,x15464)+~P6(x15461,f5(x15461),x15462)+P5(x15461,f42(f42(f9(x15461),x15462),x15463),f42(f42(f9(x15461),x15462),x15464)) % 5.66/5.58 [1547]~P68(x15471)+~P5(x15471,x15472,x15474)+~P5(x15471,f5(x15471),x15473)+P5(x15471,f42(f42(f9(x15471),x15472),x15473),f42(f42(f9(x15471),x15474),x15473)) % 5.66/5.58 [1548]~P1(x15481)+~P5(x15481,x15482,x15484)+~P5(x15481,f5(x15481),x15482)+P5(x15481,f42(f42(f22(x15481),x15482),x15483),f42(f42(f22(x15481),x15484),x15483)) % 5.66/5.58 [1570]~P57(x15702)+P8(x15702,x15703,x15704)+E(x15701,f5(x15702))+~P8(x15702,f42(f42(f9(x15702),x15703),x15701),f42(f42(f9(x15702),x15704),x15701)) % 5.66/5.58 [1571]~P57(x15712)+P8(x15712,x15713,x15714)+E(x15711,f5(x15712))+~P8(x15712,f42(f42(f9(x15712),x15711),x15713),f42(f42(f9(x15712),x15711),x15714)) % 5.66/5.58 [1617]P6(x16171,x16173,x16172)+~P52(x16171)+P6(x16171,x16172,x16173)+~P6(x16171,f42(f42(f9(x16171),x16174),x16172),f42(f42(f9(x16171),x16174),x16173)) % 5.66/5.58 [1618]P6(x16181,x16183,x16182)+~P52(x16181)+P6(x16181,x16182,x16183)+~P6(x16181,f42(f42(f9(x16181),x16182),x16184),f42(f42(f9(x16181),x16183),x16184)) % 5.66/5.58 [1621]~P52(x16211)+P6(x16211,x16212,x16213)+P6(x16211,x16214,f5(x16211))+~P6(x16211,f42(f42(f9(x16211),x16212),x16214),f42(f42(f9(x16211),x16213),x16214)) % 5.66/5.58 [1622]~P52(x16221)+P6(x16221,x16222,x16223)+P6(x16221,x16224,f5(x16221))+~P6(x16221,f42(f42(f9(x16221),x16224),x16222),f42(f42(f9(x16221),x16224),x16223)) % 5.66/5.58 [1623]~P52(x16231)+P6(x16231,x16232,x16233)+P6(x16231,f5(x16231),x16234)+~P6(x16231,f42(f42(f9(x16231),x16234),x16233),f42(f42(f9(x16231),x16234),x16232)) % 5.66/5.58 [1624]~P52(x16241)+P6(x16241,x16242,x16243)+P6(x16241,f5(x16241),x16244)+~P6(x16241,f42(f42(f9(x16241),x16243),x16244),f42(f42(f9(x16241),x16242),x16244)) % 5.66/5.58 [1635]~P52(x16351)+P6(x16351,f5(x16351),x16352)+P6(x16351,x16352,f5(x16351))+~P6(x16351,f42(f42(f9(x16351),x16353),x16352),f42(f42(f9(x16351),x16354),x16352)) % 5.66/5.58 [1636]~P52(x16361)+P6(x16361,f5(x16361),x16362)+P6(x16361,x16362,f5(x16361))+~P6(x16361,f42(f42(f9(x16361),x16362),x16363),f42(f42(f9(x16361),x16362),x16364)) % 5.66/5.58 [1646]~P1(x16463)+P6(a2,x16461,x16462)+~P6(x16463,f10(x16463),x16464)+~P6(x16463,f42(f42(f22(x16463),x16464),x16461),f42(f42(f22(x16463),x16464),x16462)) % 5.66/5.58 [1648]~P1(x16483)+P5(a2,x16481,x16482)+~P6(x16483,f10(x16483),x16484)+~P5(x16483,f42(f42(f22(x16483),x16484),x16481),f42(f42(f22(x16483),x16484),x16482)) % 5.66/5.58 [1649]~P52(x16491)+P6(x16491,x16492,x16493)+~P6(x16491,x16494,f5(x16491))+~P6(x16491,f42(f42(f9(x16491),x16494),x16493),f42(f42(f9(x16491),x16494),x16492)) % 5.66/5.58 [1650]~P52(x16501)+P5(x16501,x16502,x16503)+~P6(x16501,x16504,f5(x16501))+~P5(x16501,f42(f42(f9(x16501),x16504),x16503),f42(f42(f9(x16501),x16504),x16502)) % 5.66/5.58 [1651]~P52(x16511)+P6(x16511,x16512,x16513)+~P6(x16511,f5(x16511),x16514)+~P6(x16511,f42(f42(f9(x16511),x16514),x16512),f42(f42(f9(x16511),x16514),x16513)) % 5.66/5.58 [1652]~P60(x16521)+P6(x16521,x16522,x16523)+~P5(x16521,f5(x16521),x16524)+~P6(x16521,f42(f42(f9(x16521),x16524),x16522),f42(f42(f9(x16521),x16524),x16523)) % 5.66/5.58 [1653]~P61(x16531)+P6(x16531,x16532,x16533)+~P5(x16531,f5(x16531),x16534)+~P6(x16531,f42(f42(f9(x16531),x16534),x16532),f42(f42(f9(x16531),x16534),x16533)) % 5.66/5.58 [1654]~P1(x16541)+P6(x16541,x16542,x16543)+~P5(x16541,f5(x16541),x16543)+~P6(x16541,f42(f42(f22(x16541),x16542),x16544),f42(f42(f22(x16541),x16543),x16544)) % 5.66/5.58 [1655]~P60(x16551)+P6(x16551,x16552,x16553)+~P5(x16551,f5(x16551),x16554)+~P6(x16551,f42(f42(f9(x16551),x16552),x16554),f42(f42(f9(x16551),x16553),x16554)) % 5.66/5.58 [1656]~P61(x16561)+P6(x16561,x16562,x16563)+~P5(x16561,f5(x16561),x16564)+~P6(x16561,f42(f42(f9(x16561),x16562),x16564),f42(f42(f9(x16561),x16563),x16564)) % 5.66/5.58 [1657]~P52(x16571)+P5(x16571,x16572,x16573)+~P6(x16571,f5(x16571),x16574)+~P5(x16571,f42(f42(f9(x16571),x16574),x16572),f42(f42(f9(x16571),x16574),x16573)) % 5.66/5.58 [1658]~P60(x16581)+P5(x16581,x16582,x16583)+~P6(x16581,f5(x16581),x16584)+~P5(x16581,f42(f42(f9(x16581),x16584),x16582),f42(f42(f9(x16581),x16584),x16583)) % 5.66/5.58 [1659]~P60(x16591)+P5(x16591,x16592,x16593)+~P6(x16591,f5(x16591),x16594)+~P5(x16591,f42(f42(f9(x16591),x16592),x16594),f42(f42(f9(x16591),x16593),x16594)) % 5.66/5.58 [1713]~P6(a1,f5(a1),x17134)+~P6(a1,f5(a1),x17132)+P6(a1,f42(f42(f9(a1),x17131),f14(a1,x17132)),f42(f42(f9(a1),x17133),f14(a1,x17134)))+~P6(a1,f42(f42(f9(a1),x17134),x17131),f42(f42(f9(a1),x17132),x17133)) % 5.66/5.58 [1721]~P6(a1,f5(a1),x17213)+~P6(a1,f5(a1),x17211)+~P6(a1,f42(f42(f9(a1),x17213),x17212),f42(f42(f9(a1),x17211),x17214))+P6(a1,f42(f42(f9(a1),f14(a1,x17211)),x17212),f42(f42(f9(a1),f14(a1,x17213)),x17214)) % 5.66/5.58 [1744]~P1(x17441)+P5(x17441,x17442,x17443)+~P5(x17441,f5(x17441),x17443)+~P5(x17441,f42(f42(f22(x17441),x17442),f12(a2,x17444,f10(a2))),f42(f42(f22(x17441),x17443),f12(a2,x17444,f10(a2)))) % 5.66/5.58 [1673]~P75(x16733)+~P58(x16733)+P77(f42(x16731,f53(x16732,x16731,x16733)))+~P77(f42(x16731,f42(f42(f9(x16733),x16732),x16734))) % 5.66/5.58 [1703]~P75(x17031)+~P58(x17031)+P8(x17031,x17032,f12(x17031,f53(x17032,x17033,x17031),f5(x17031)))+~P77(f42(x17033,f42(f42(f9(x17031),x17032),x17034))) % 5.66/5.58 [1761]~P6(a1,f5(a1),x17614)+~P6(a1,f21(a4,f11(a4,x17612,x17613)),f49(x17611,x17613,x17614))+~P6(a1,f5(a1),f21(a4,f11(a4,x17612,x17613)))+P6(a1,f21(a4,f11(a4,f42(f15(a4,x17611),x17612),f42(f15(a4,x17611),x17613))),x17614) % 5.66/5.58 [1038]~P18(x10385)+E(x10381,x10382)+~E(x10383,x10384)+~E(f11(x10385,x10383,x10384),f11(x10385,x10381,x10382)) % 5.66/5.58 [1322]~P32(x13221)+~P6(x13221,x13224,x13225)+P6(x13221,x13222,x13223)+~E(f11(x13221,x13224,x13225),f11(x13221,x13222,x13223)) % 5.66/5.58 [1324]~P32(x13241)+~P5(x13241,x13244,x13245)+P5(x13241,x13242,x13243)+~E(f11(x13241,x13244,x13245),f11(x13241,x13242,x13243)) % 5.66/5.58 [1525]~P33(x15251)+~P6(x15251,x15253,x15255)+~P6(x15251,x15252,x15254)+P6(x15251,f12(x15251,x15252,x15253),f12(x15251,x15254,x15255)) % 5.66/5.58 [1526]~P33(x15261)+~P6(x15261,x15263,x15265)+~P5(x15261,x15262,x15264)+P6(x15261,f12(x15261,x15262,x15263),f12(x15261,x15264,x15265)) % 5.66/5.58 [1527]~P33(x15271)+~P6(x15271,x15272,x15274)+~P5(x15271,x15273,x15275)+P6(x15271,f12(x15271,x15272,x15273),f12(x15271,x15274,x15275)) % 5.66/5.58 [1528]~P31(x15281)+~P5(x15281,x15283,x15285)+~P5(x15281,x15282,x15284)+P5(x15281,f12(x15281,x15282,x15283),f12(x15281,x15284,x15285)) % 5.66/5.58 [1685]~P45(x16851)+~P6(a1,f21(x16851,x16853),x16855)+~P6(a1,f21(x16851,x16852),x16854)+P6(a1,f21(x16851,f12(x16851,x16852,x16853)),f12(a1,x16854,x16855)) % 5.66/5.58 [1514]~P50(x15141)+~P8(x15141,x15142,x15144)+~P5(a2,x15143,x15145)+P8(x15141,f42(f42(f22(x15141),x15142),x15143),f42(f42(f22(x15141),x15144),x15145)) % 5.66/5.58 [1516]~P50(x15161)+~P8(x15161,x15163,x15165)+~P8(x15161,x15162,x15164)+P8(x15161,f42(f42(f9(x15161),x15162),x15163),f42(f42(f9(x15161),x15164),x15165)) % 5.66/5.58 [1592]~P50(x15921)+~P5(a2,x15923,x15925)+~P8(x15921,f42(f42(f22(x15921),x15922),x15925),x15924)+P8(x15921,f42(f42(f22(x15921),x15922),x15923),x15924) % 5.66/5.58 [1674]~P3(x16741)+~P6(a1,f21(x16741,x16743),x16745)+~P6(a1,f21(x16741,x16742),x16744)+P6(a1,f21(x16741,f42(f42(f9(x16741),x16742),x16743)),f42(f42(f9(a1),x16744),x16745)) % 5.66/5.58 [1709]~P76(x17095)+E(x17091,x17092)+E(x17093,x17094)+~E(f12(x17095,f42(f42(f9(x17095),x17093),x17091),f42(f42(f9(x17095),x17094),x17092)),f12(x17095,f42(f42(f9(x17095),x17093),x17092),f42(f42(f9(x17095),x17094),x17091))) % 5.66/5.58 [1737]~E(f21(a4,x17371),f10(a1))+P6(a1,f21(a4,f11(a4,x17371,a7)),f10(a1))+P6(a1,f21(a4,f12(a4,x17371,a7)),f10(a1))+P6(a1,f21(a4,f12(a4,x17371,f10(a4))),f10(a1))+P6(a1,f21(a4,f11(a4,x17371,f10(a4))),f10(a1)) % 5.66/5.58 [1382]E(x13821,x13822)+~P8(a3,x13822,x13821)+~P8(a3,x13821,x13822)+~P5(a3,f5(a3),x13822)+~P5(a3,f5(a3),x13821) % 5.66/5.58 [708]~P46(x7083)+E(x7081,x7082)+~E(f14(x7083,x7081),f14(x7083,x7082))+E(x7082,f5(x7083))+E(x7081,f5(x7083)) % 5.66/5.58 [1278]~P28(x12782)+~P5(x12782,f5(x12782),x12783)+~P5(x12782,f5(x12782),x12781)+~E(f12(x12782,x12783,x12781),f5(x12782))+E(x12781,f5(x12782)) % 5.66/5.58 [1279]~P28(x12792)+~P5(x12792,f5(x12792),x12793)+~P5(x12792,f5(x12792),x12791)+~E(f12(x12792,x12791,x12793),f5(x12792))+E(x12791,f5(x12792)) % 5.66/5.58 [1550]~P54(x15501)+~P5(x15501,x15502,f10(x15501))+~P5(x15501,f5(x15501),x15502)+~P5(x15501,f5(x15501),x15503)+P5(x15501,f42(f42(f9(x15501),x15502),x15503),x15503) % 5.66/5.58 [1551]~P54(x15511)+~P5(x15511,x15513,f10(x15511))+~P5(x15511,f5(x15511),x15513)+~P5(x15511,f5(x15511),x15512)+P5(x15511,f42(f42(f9(x15511),x15512),x15513),x15512) % 5.66/5.58 [1637]~P1(x16371)+~P6(x16371,x16372,x16374)+~P5(x16371,f5(x16371),x16372)+~P6(a2,f5(a2),x16373)+P6(x16371,f42(f42(f22(x16371),x16372),x16373),f42(f42(f22(x16371),x16374),x16373)) % 5.66/5.58 [1638]~P1(x16381)+~P6(a2,x16384,x16383)+~P6(x16381,x16382,f10(x16381))+~P6(x16381,f5(x16381),x16382)+P6(x16381,f42(f42(f22(x16381),x16382),x16383),f42(f42(f22(x16381),x16382),x16384)) % 5.66/5.58 [1639]~P1(x16391)+~P5(a2,x16394,x16393)+~P5(x16391,x16392,f10(x16391))+~P5(x16391,f5(x16391),x16392)+P5(x16391,f42(f42(f22(x16391),x16392),x16393),f42(f42(f22(x16391),x16392),x16394)) % 5.66/5.58 [1697]~P1(x16973)+E(x16971,x16972)+~P5(x16973,f5(x16973),x16972)+~P5(x16973,f5(x16973),x16971)+~E(f42(f42(f22(x16973),x16971),f12(a2,x16974,f10(a2))),f42(f42(f22(x16973),x16972),f12(a2,x16974,f10(a2)))) % 5.66/5.58 [1722]~P75(x17222)+~P58(x17222)+~P8(x17222,x17223,f12(x17222,x17224,f5(x17222)))+~P77(f42(x17221,x17224))+P77(f42(x17221,f42(f42(f9(x17222),x17223),f54(x17223,x17221,x17222)))) % 5.66/5.58 [1727]~P45(x17274)+~P39(x17271)+~P5(x17271,x17272,x17275)+P5(x17271,x17272,f40(x17273,x17272,x17271,x17274))+P6(a1,f21(x17274,f42(x17273,x17275)),f12(a1,f10(a1),f21(x17274,f42(x17273,x17272)))) % 5.66/5.58 [1746]P5(a3,x17461,x17462)+~P6(a3,x17463,x17464)+~P6(a3,x17463,x17465)+~P5(a3,x17464,f5(a3))+~P5(a3,f12(a3,f42(f42(f9(a3),x17463),x17462),x17465),f12(a3,f42(f42(f9(a3),x17463),x17461),x17464)) % 5.66/5.58 [1747]P5(a3,x17471,x17472)+~P6(a3,x17473,x17474)+~P6(a3,x17475,x17474)+~P5(a3,f5(a3),x17475)+~P5(a3,f12(a3,f42(f42(f9(a3),x17474),x17471),x17475),f12(a3,f42(f42(f9(a3),x17474),x17472),x17473)) % 5.66/5.58 [1790]~P45(x17901)+~P5(x17905,x17904,x17903)+~P39(x17905)+P6(a1,f21(x17901,f42(x17902,x17903)),f12(a1,f10(a1),f21(x17901,f42(x17902,x17904))))+~P6(a1,f21(x17901,f11(x17901,f42(x17902,x17904),f42(x17902,f40(x17902,x17904,x17905,x17901)))),f10(a1)) % 5.66/5.58 [1611]~P76(x16114)+E(x16111,x16112)+~E(x16115,x16116)+E(x16113,f5(x16114))+~E(f12(x16114,x16115,f42(f42(f9(x16114),x16113),x16111)),f12(x16114,x16116,f42(f42(f9(x16114),x16113),x16112))) % 5.66/5.58 [1735]~P49(x17351)+~P58(x17351)+~P8(x17351,x17352,x17355)+~P8(x17351,x17352,f12(x17351,x17353,x17356))+P8(x17351,x17352,f12(x17351,f11(x17351,x17353,f42(f42(f9(x17351),x17354),x17355)),x17356)) % 5.66/5.58 [1754]~P49(x17541)+~P58(x17541)+~P8(x17541,x17542,x17545)+P8(x17541,x17542,f12(x17541,x17543,x17544))+~P8(x17541,x17542,f12(x17541,f11(x17541,x17543,f42(f42(f9(x17541),x17546),x17545)),x17544)) % 5.66/5.58 [1244]~P28(x12441)+~P5(x12441,f5(x12441),x12443)+~P5(x12441,f5(x12441),x12442)+~E(x12443,f5(x12441))+~E(x12442,f5(x12441))+E(f12(x12441,x12442,x12443),f5(x12441)) % 5.66/5.58 [896]~P27(x8962)+~P64(x8962)+~P65(x8962)+~P73(x8962)+E(x8961,f5(x8962))+~E(f42(f42(f22(x8962),x8961),x8963),f5(x8962)) % 5.66/5.58 [897]~P27(x8972)+~P64(x8972)+~P65(x8972)+~P73(x8972)+~E(x8971,f5(a2))+~E(f42(f42(f22(x8972),x8973),x8971),f5(x8972)) % 5.66/5.58 [1556]~P1(x15563)+E(x15561,x15562)+~P5(x15563,f5(x15563),x15562)+~P5(x15563,f5(x15563),x15561)+~P6(a2,f5(a2),x15564)+~E(f42(f42(f22(x15563),x15561),x15564),f42(f42(f22(x15563),x15562),x15564)) % 5.66/5.58 [1675]~P60(x16751)+~P6(x16751,x16753,x16755)+~P6(x16751,x16752,x16754)+~P6(x16751,f5(x16751),x16754)+~P5(x16751,f5(x16751),x16753)+P6(x16751,f42(f42(f9(x16751),x16752),x16753),f42(f42(f9(x16751),x16754),x16755)) % 5.66/5.58 [1676]~P60(x16761)+~P6(x16761,x16763,x16765)+~P6(x16761,x16762,x16764)+~P5(x16761,f5(x16761),x16763)+~P5(x16761,f5(x16761),x16762)+P6(x16761,f42(f42(f9(x16761),x16762),x16763),f42(f42(f9(x16761),x16764),x16765)) % 5.66/5.58 [1677]~P60(x16771)+~P6(x16771,x16773,x16775)+~P5(x16771,x16772,x16774)+~P6(x16771,f5(x16771),x16772)+~P5(x16771,f5(x16771),x16773)+P6(x16771,f42(f42(f9(x16771),x16772),x16773),f42(f42(f9(x16771),x16774),x16775)) % 5.66/5.58 [1678]~P60(x16781)+~P6(x16781,x16782,x16784)+~P5(x16781,x16783,x16785)+~P6(x16781,f5(x16781),x16783)+~P5(x16781,f5(x16781),x16782)+P6(x16781,f42(f42(f9(x16781),x16782),x16783),f42(f42(f9(x16781),x16784),x16785)) % 5.66/5.58 [1679]~P68(x16791)+~P5(x16791,x16793,x16795)+~P5(x16791,x16792,x16794)+~P5(x16791,f5(x16791),x16793)+~P5(x16791,f5(x16791),x16794)+P5(x16791,f42(f42(f9(x16791),x16792),x16793),f42(f42(f9(x16791),x16794),x16795)) % 5.66/5.58 [1680]~P68(x16801)+~P5(x16801,x16803,x16805)+~P5(x16801,x16802,x16804)+~P5(x16801,f5(x16801),x16803)+~P5(x16801,f5(x16801),x16802)+P5(x16801,f42(f42(f9(x16801),x16802),x16803),f42(f42(f9(x16801),x16804),x16805)) % 5.66/5.58 [828]~P27(x8282)+~P64(x8282)+~P65(x8282)+~P73(x8282)+~E(x8283,f5(x8282))+E(x8281,f5(a2))+E(f42(f42(f22(x8282),x8283),x8281),f5(x8282)) % 5.66/5.58 [1723]~P63(x17231)+~P6(x17231,x17235,x17236)+~P6(x17231,x17233,x17236)+~P5(x17231,f5(x17231),x17234)+~P5(x17231,f5(x17231),x17232)+~E(f12(x17231,x17232,x17234),f10(x17231))+P6(x17231,f12(x17231,f42(f42(f9(x17231),x17232),x17233),f42(f42(f9(x17231),x17234),x17235)),x17236) % 5.66/5.58 [1724]~P62(x17241)+~P5(x17241,x17245,x17246)+~P5(x17241,x17243,x17246)+~P5(x17241,f5(x17241),x17244)+~P5(x17241,f5(x17241),x17242)+~E(f12(x17241,x17242,x17244),f10(x17241))+P5(x17241,f12(x17241,f42(f42(f9(x17241),x17242),x17243),f42(f42(f9(x17241),x17244),x17245)),x17246) % 5.66/5.58 [1751]~P6(a3,x17516,x17515)+~P5(a3,x17515,x17513)+P5(a3,x17511,x17512)+~P6(a3,f5(a3),x17515)+~P5(a3,f5(a3),x17514)+~P5(a3,f5(a3),f12(a3,f42(f42(f9(a3),x17515),x17512),x17516))+~E(f12(a3,f42(f42(f9(a3),x17513),x17511),x17514),f12(a3,f42(f42(f9(a3),x17515),x17512),x17516)) % 5.66/5.58 [1752]~P6(a3,x17524,x17523)+~P5(a3,x17525,x17523)+P5(a3,x17521,x17522)+~P6(a3,f5(a3),x17525)+~P5(a3,f5(a3),x17526)+~P6(a3,f12(a3,f42(f42(f9(a3),x17525),x17521),x17526),f5(a3))+~E(f12(a3,f42(f42(f9(a3),x17523),x17522),x17524),f12(a3,f42(f42(f9(a3),x17525),x17521),x17526)) % 5.66/5.58 %EqnAxiom % 5.66/5.58 [1]E(x11,x11) % 5.66/5.58 [2]E(x22,x21)+~E(x21,x22) % 5.66/5.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) % 5.66/5.58 [4]~E(x41,x42)+E(f5(x41),f5(x42)) % 5.66/5.58 [5]~E(x51,x52)+E(f14(x51,x53),f14(x52,x53)) % 5.66/5.58 [6]~E(x61,x62)+E(f14(x63,x61),f14(x63,x62)) % 5.66/5.58 [7]~E(x71,x72)+E(f10(x71),f10(x72)) % 5.66/5.58 [8]~E(x81,x82)+E(f21(x81,x83),f21(x82,x83)) % 5.66/5.58 [9]~E(x91,x92)+E(f21(x93,x91),f21(x93,x92)) % 5.66/5.58 [10]~E(x101,x102)+E(f6(x101,x103),f6(x102,x103)) % 5.66/5.58 [11]~E(x111,x112)+E(f6(x113,x111),f6(x113,x112)) % 5.66/5.58 [12]~E(x121,x122)+E(f11(x121,x123,x124),f11(x122,x123,x124)) % 5.66/5.58 [13]~E(x131,x132)+E(f11(x133,x131,x134),f11(x133,x132,x134)) % 5.66/5.58 [14]~E(x141,x142)+E(f11(x143,x144,x141),f11(x143,x144,x142)) % 5.66/5.58 [15]~E(x151,x152)+E(f9(x151),f9(x152)) % 5.66/5.58 [16]~E(x161,x162)+E(f42(x161,x163),f42(x162,x163)) % 5.66/5.58 [17]~E(x171,x172)+E(f42(x173,x171),f42(x173,x172)) % 5.66/5.58 [18]~E(x181,x182)+E(f8(x181,x183),f8(x182,x183)) % 5.66/5.58 [19]~E(x191,x192)+E(f8(x193,x191),f8(x193,x192)) % 5.66/5.58 [20]~E(x201,x202)+E(f12(x201,x203,x204),f12(x202,x203,x204)) % 5.66/5.58 [21]~E(x211,x212)+E(f12(x213,x211,x214),f12(x213,x212,x214)) % 5.66/5.58 [22]~E(x221,x222)+E(f12(x223,x224,x221),f12(x223,x224,x222)) % 5.66/5.58 [23]~E(x231,x232)+E(f15(x231,x233),f15(x232,x233)) % 5.66/5.58 [24]~E(x241,x242)+E(f15(x243,x241),f15(x243,x242)) % 5.66/5.58 [25]~E(x251,x252)+E(f63(x251),f63(x252)) % 5.66/5.58 [26]~E(x261,x262)+E(f19(x261,x263,x264),f19(x262,x263,x264)) % 5.66/5.58 [27]~E(x271,x272)+E(f19(x273,x271,x274),f19(x273,x272,x274)) % 5.66/5.58 [28]~E(x281,x282)+E(f19(x283,x284,x281),f19(x283,x284,x282)) % 5.66/5.58 [29]~E(x291,x292)+E(f13(x291,x293),f13(x292,x293)) % 5.66/5.58 [30]~E(x301,x302)+E(f13(x303,x301),f13(x303,x302)) % 5.66/5.58 [31]~E(x311,x312)+E(f18(x311,x313,x314),f18(x312,x313,x314)) % 5.66/5.58 [32]~E(x321,x322)+E(f18(x323,x321,x324),f18(x323,x322,x324)) % 5.66/5.58 [33]~E(x331,x332)+E(f18(x333,x334,x331),f18(x333,x334,x332)) % 5.66/5.58 [34]~E(x341,x342)+E(f22(x341),f22(x342)) % 5.66/5.58 [35]~E(x351,x352)+E(f28(x351,x353,x354),f28(x352,x353,x354)) % 5.66/5.58 [36]~E(x361,x362)+E(f28(x363,x361,x364),f28(x363,x362,x364)) % 5.66/5.58 [37]~E(x371,x372)+E(f28(x373,x374,x371),f28(x373,x374,x372)) % 5.66/5.58 [38]~E(x381,x382)+E(f16(x381,x383,x384),f16(x382,x383,x384)) % 5.66/5.58 [39]~E(x391,x392)+E(f16(x393,x391,x394),f16(x393,x392,x394)) % 5.66/5.58 [40]~E(x401,x402)+E(f16(x403,x404,x401),f16(x403,x404,x402)) % 5.66/5.58 [41]~E(x411,x412)+E(f24(x411,x413,x414),f24(x412,x413,x414)) % 5.66/5.58 [42]~E(x421,x422)+E(f24(x423,x421,x424),f24(x423,x422,x424)) % 5.66/5.58 [43]~E(x431,x432)+E(f24(x433,x434,x431),f24(x433,x434,x432)) % 5.66/5.58 [44]~E(x441,x442)+E(f25(x441,x443,x444),f25(x442,x443,x444)) % 5.66/5.58 [45]~E(x451,x452)+E(f25(x453,x451,x454),f25(x453,x452,x454)) % 5.66/5.58 [46]~E(x461,x462)+E(f25(x463,x464,x461),f25(x463,x464,x462)) % 5.66/5.58 [47]~E(x471,x472)+E(f68(x471,x473),f68(x472,x473)) % 5.66/5.58 [48]~E(x481,x482)+E(f68(x483,x481),f68(x483,x482)) % 5.66/5.58 [49]~E(x491,x492)+E(f20(x491,x493,x494),f20(x492,x493,x494)) % 5.66/5.58 [50]~E(x501,x502)+E(f20(x503,x501,x504),f20(x503,x502,x504)) % 5.66/5.58 [51]~E(x511,x512)+E(f20(x513,x514,x511),f20(x513,x514,x512)) % 5.66/5.58 [52]~E(x521,x522)+E(f39(x521,x523),f39(x522,x523)) % 5.66/5.58 [53]~E(x531,x532)+E(f39(x533,x531),f39(x533,x532)) % 5.66/5.58 [54]~E(x541,x542)+E(f50(x541,x543),f50(x542,x543)) % 5.66/5.58 [55]~E(x551,x552)+E(f50(x553,x551),f50(x553,x552)) % 5.66/5.58 [56]~E(x561,x562)+E(f55(x561,x563),f55(x562,x563)) % 5.66/5.58 [57]~E(x571,x572)+E(f55(x573,x571),f55(x573,x572)) % 5.66/5.58 [58]~E(x581,x582)+E(f45(x581),f45(x582)) % 5.66/5.58 [59]~E(x591,x592)+E(f17(x591,x593),f17(x592,x593)) % 5.66/5.58 [60]~E(x601,x602)+E(f17(x603,x601),f17(x603,x602)) % 5.66/5.58 [61]~E(x611,x612)+E(f47(x611,x613),f47(x612,x613)) % 5.66/5.58 [62]~E(x621,x622)+E(f47(x623,x621),f47(x623,x622)) % 5.66/5.58 [63]~E(x631,x632)+E(f40(x631,x633,x634,x635),f40(x632,x633,x634,x635)) % 5.66/5.58 [64]~E(x641,x642)+E(f40(x643,x641,x644,x645),f40(x643,x642,x644,x645)) % 5.66/5.58 [65]~E(x651,x652)+E(f40(x653,x654,x651,x655),f40(x653,x654,x652,x655)) % 5.66/5.58 [66]~E(x661,x662)+E(f40(x663,x664,x665,x661),f40(x663,x664,x665,x662)) % 5.66/5.58 [67]~E(x671,x672)+E(f29(x671),f29(x672)) % 5.66/5.58 [68]~E(x681,x682)+E(f52(x681),f52(x682)) % 5.66/5.58 [69]~E(x691,x692)+E(f46(x691,x693),f46(x692,x693)) % 5.66/5.58 [70]~E(x701,x702)+E(f46(x703,x701),f46(x703,x702)) % 5.66/5.58 [71]~E(x711,x712)+E(f60(x711,x713,x714),f60(x712,x713,x714)) % 5.66/5.58 [72]~E(x721,x722)+E(f60(x723,x721,x724),f60(x723,x722,x724)) % 5.66/5.58 [73]~E(x731,x732)+E(f60(x733,x734,x731),f60(x733,x734,x732)) % 5.66/5.58 [74]~E(x741,x742)+E(f49(x741,x743,x744),f49(x742,x743,x744)) % 5.66/5.58 [75]~E(x751,x752)+E(f49(x753,x751,x754),f49(x753,x752,x754)) % 5.66/5.58 [76]~E(x761,x762)+E(f49(x763,x764,x761),f49(x763,x764,x762)) % 5.66/5.58 [77]~E(x771,x772)+E(f61(x771,x773),f61(x772,x773)) % 5.66/5.58 [78]~E(x781,x782)+E(f61(x783,x781),f61(x783,x782)) % 5.66/5.58 [79]~E(x791,x792)+E(f23(x791,x793,x794),f23(x792,x793,x794)) % 5.66/5.58 [80]~E(x801,x802)+E(f23(x803,x801,x804),f23(x803,x802,x804)) % 5.66/5.58 [81]~E(x811,x812)+E(f23(x813,x814,x811),f23(x813,x814,x812)) % 5.66/5.58 [82]~E(x821,x822)+E(f48(x821,x823),f48(x822,x823)) % 5.66/5.58 [83]~E(x831,x832)+E(f48(x833,x831),f48(x833,x832)) % 5.66/5.58 [84]~E(x841,x842)+E(f51(x841,x843),f51(x842,x843)) % 5.66/5.58 [85]~E(x851,x852)+E(f51(x853,x851),f51(x853,x852)) % 5.66/5.58 [86]~E(x861,x862)+E(f56(x861,x863),f56(x862,x863)) % 5.66/5.58 [87]~E(x871,x872)+E(f56(x873,x871),f56(x873,x872)) % 5.66/5.58 [88]~E(x881,x882)+E(f57(x881),f57(x882)) % 5.66/5.58 [89]~E(x891,x892)+E(f53(x891,x893,x894),f53(x892,x893,x894)) % 5.66/5.58 [90]~E(x901,x902)+E(f53(x903,x901,x904),f53(x903,x902,x904)) % 5.66/5.58 [91]~E(x911,x912)+E(f53(x913,x914,x911),f53(x913,x914,x912)) % 5.66/5.58 [92]~E(x921,x922)+E(f41(x921,x923,x924,x925),f41(x922,x923,x924,x925)) % 5.66/5.58 [93]~E(x931,x932)+E(f41(x933,x931,x934,x935),f41(x933,x932,x934,x935)) % 5.66/5.58 [94]~E(x941,x942)+E(f41(x943,x944,x941,x945),f41(x943,x944,x942,x945)) % 5.66/5.58 [95]~E(x951,x952)+E(f41(x953,x954,x955,x951),f41(x953,x954,x955,x952)) % 5.66/5.58 [96]~E(x961,x962)+E(f58(x961),f58(x962)) % 5.66/5.58 [97]~E(x971,x972)+E(f59(x971,x973),f59(x972,x973)) % 5.66/5.58 [98]~E(x981,x982)+E(f59(x983,x981),f59(x983,x982)) % 5.66/5.58 [99]~E(x991,x992)+E(f54(x991,x993,x994),f54(x992,x993,x994)) % 5.66/5.58 [100]~E(x1001,x1002)+E(f54(x1003,x1001,x1004),f54(x1003,x1002,x1004)) % 5.66/5.58 [101]~E(x1011,x1012)+E(f54(x1013,x1014,x1011),f54(x1013,x1014,x1012)) % 5.66/5.58 [102]~P1(x1021)+P1(x1022)+~E(x1021,x1022) % 5.66/5.58 [103]P6(x1032,x1033,x1034)+~E(x1031,x1032)+~P6(x1031,x1033,x1034) % 5.66/5.58 [104]P6(x1043,x1042,x1044)+~E(x1041,x1042)+~P6(x1043,x1041,x1044) % 5.66/5.58 [105]P6(x1053,x1054,x1052)+~E(x1051,x1052)+~P6(x1053,x1054,x1051) % 5.66/5.58 [106]P5(x1062,x1063,x1064)+~E(x1061,x1062)+~P5(x1061,x1063,x1064) % 5.66/5.58 [107]P5(x1073,x1072,x1074)+~E(x1071,x1072)+~P5(x1073,x1071,x1074) % 5.66/5.58 [108]P5(x1083,x1084,x1082)+~E(x1081,x1082)+~P5(x1083,x1084,x1081) % 5.66/5.58 [109]~P2(x1091)+P2(x1092)+~E(x1091,x1092) % 5.66/5.58 [110]P8(x1102,x1103,x1104)+~E(x1101,x1102)+~P8(x1101,x1103,x1104) % 5.66/5.58 [111]P8(x1113,x1112,x1114)+~E(x1111,x1112)+~P8(x1113,x1111,x1114) % 5.66/5.58 [112]P8(x1123,x1124,x1122)+~E(x1121,x1122)+~P8(x1123,x1124,x1121) % 5.66/5.58 [113]~P3(x1131)+P3(x1132)+~E(x1131,x1132) % 5.66/5.58 [114]~P32(x1141)+P32(x1142)+~E(x1141,x1142) % 5.66/5.58 [115]~P45(x1151)+P45(x1152)+~E(x1151,x1152) % 5.66/5.58 [116]~P57(x1161)+P57(x1162)+~E(x1161,x1162) % 5.66/5.58 [117]~P46(x1171)+P46(x1172)+~E(x1171,x1172) % 5.66/5.58 [118]~P50(x1181)+P50(x1182)+~E(x1181,x1182) % 5.66/5.58 [119]~P4(x1191)+P4(x1192)+~E(x1191,x1192) % 5.66/5.58 [120]~P19(x1201)+P19(x1202)+~E(x1201,x1202) % 5.66/5.58 [121]~P11(x1211)+P11(x1212)+~E(x1211,x1212) % 5.66/5.58 [122]~P12(x1221)+P12(x1222)+~E(x1221,x1222) % 5.66/5.58 [123]~P14(x1231)+P14(x1232)+~E(x1231,x1232) % 5.66/5.58 [124]~P18(x1241)+P18(x1242)+~E(x1241,x1242) % 5.66/5.58 [125]~P38(x1251)+P38(x1252)+~E(x1251,x1252) % 5.66/5.58 [126]~P43(x1261)+P43(x1262)+~E(x1261,x1262) % 5.66/5.58 [127]~P59(x1271)+P59(x1272)+~E(x1271,x1272) % 5.66/5.58 [128]~P28(x1281)+P28(x1282)+~E(x1281,x1282) % 5.66/5.58 [129]~P52(x1291)+P52(x1292)+~E(x1291,x1292) % 5.66/5.58 [130]~P66(x1301)+P66(x1302)+~E(x1301,x1302) % 5.66/5.58 [131]~P54(x1311)+P54(x1312)+~E(x1311,x1312) % 5.66/5.58 [132]~P68(x1321)+P68(x1322)+~E(x1321,x1322) % 5.66/5.58 [133]~P48(x1331)+P48(x1332)+~E(x1331,x1332) % 5.66/5.58 [134]~P25(x1341)+P25(x1342)+~E(x1341,x1342) % 5.66/5.58 [135]~P67(x1351)+P67(x1352)+~E(x1351,x1352) % 5.66/5.58 [136]~P27(x1361)+P27(x1362)+~E(x1361,x1362) % 5.66/5.58 [137]P10(x1372,x1373)+~E(x1371,x1372)+~P10(x1371,x1373) % 5.66/5.58 [138]P10(x1383,x1382)+~E(x1381,x1382)+~P10(x1383,x1381) % 5.66/5.58 [139]~P34(x1391)+P34(x1392)+~E(x1391,x1392) % 5.66/5.58 [140]~P77(x1401)+P77(x1402)+~E(x1401,x1402) % 5.66/5.58 [141]~P53(x1411)+P53(x1412)+~E(x1411,x1412) % 5.66/5.58 [142]~P76(x1421)+P76(x1422)+~E(x1421,x1422) % 5.66/5.58 [143]P9(x1432,x1433)+~E(x1431,x1432)+~P9(x1431,x1433) % 5.66/5.58 [144]P9(x1443,x1442)+~E(x1441,x1442)+~P9(x1443,x1441) % 5.66/5.58 [145]~P51(x1451)+P51(x1452)+~E(x1451,x1452) % 5.66/5.58 [146]~P61(x1461)+P61(x1462)+~E(x1461,x1462) % 5.66/5.58 [147]~P40(x1471)+P40(x1472)+~E(x1471,x1472) % 5.66/5.58 [148]~P60(x1481)+P60(x1482)+~E(x1481,x1482) % 5.66/5.58 [149]~P73(x1491)+P73(x1492)+~E(x1491,x1492) % 5.66/5.58 [150]~P13(x1501)+P13(x1502)+~E(x1501,x1502) % 5.66/5.58 [151]~P58(x1511)+P58(x1512)+~E(x1511,x1512) % 5.66/5.58 [152]~P36(x1521)+P36(x1522)+~E(x1521,x1522) % 5.66/5.58 [153]~P55(x1531)+P55(x1532)+~E(x1531,x1532) % 5.66/5.58 [154]~P24(x1541)+P24(x1542)+~E(x1541,x1542) % 5.66/5.58 [155]~P41(x1551)+P41(x1552)+~E(x1551,x1552) % 5.66/5.58 [156]~P44(x1561)+P44(x1562)+~E(x1561,x1562) % 5.66/5.58 [157]~P70(x1571)+P70(x1572)+~E(x1571,x1572) % 5.66/5.58 [158]~P62(x1581)+P62(x1582)+~E(x1581,x1582) % 5.66/5.58 [159]~P69(x1591)+P69(x1592)+~E(x1591,x1592) % 5.66/5.58 [160]~P71(x1601)+P71(x1602)+~E(x1601,x1602) % 5.66/5.58 [161]~P33(x1611)+P33(x1612)+~E(x1611,x1612) % 5.66/5.58 [162]~P63(x1621)+P63(x1622)+~E(x1621,x1622) % 5.66/5.58 [163]P7(x1632,x1633,x1634)+~E(x1631,x1632)+~P7(x1631,x1633,x1634) % 5.66/5.58 [164]P7(x1643,x1642,x1644)+~E(x1641,x1642)+~P7(x1643,x1641,x1644) % 5.66/5.58 [165]P7(x1653,x1654,x1652)+~E(x1651,x1652)+~P7(x1653,x1654,x1651) % 5.66/5.58 [166]~P64(x1661)+P64(x1662)+~E(x1661,x1662) % 5.66/5.58 [167]~P22(x1671)+P22(x1672)+~E(x1671,x1672) % 5.66/5.58 [168]~P39(x1681)+P39(x1682)+~E(x1681,x1682) % 5.66/5.58 [169]~P30(x1691)+P30(x1692)+~E(x1691,x1692) % 5.66/5.58 [170]~P75(x1701)+P75(x1702)+~E(x1701,x1702) % 5.66/5.58 [171]~P56(x1711)+P56(x1712)+~E(x1711,x1712) % 5.66/5.58 [172]~P49(x1721)+P49(x1722)+~E(x1721,x1722) % 5.66/5.58 [173]~P65(x1731)+P65(x1732)+~E(x1731,x1732) % 5.66/5.58 [174]~P37(x1741)+P37(x1742)+~E(x1741,x1742) % 5.66/5.58 [175]~P23(x1751)+P23(x1752)+~E(x1751,x1752) % 5.66/5.58 [176]~P42(x1761)+P42(x1762)+~E(x1761,x1762) % 5.66/5.58 [177]~P21(x1771)+P21(x1772)+~E(x1771,x1772) % 5.66/5.58 [178]~P72(x1781)+P72(x1782)+~E(x1781,x1782) % 5.66/5.58 [179]~P20(x1791)+P20(x1792)+~E(x1791,x1792) % 5.66/5.58 [180]~P26(x1801)+P26(x1802)+~E(x1801,x1802) % 5.66/5.58 [181]~P74(x1811)+P74(x1812)+~E(x1811,x1812) % 5.66/5.58 [182]~P31(x1821)+P31(x1822)+~E(x1821,x1822) % 5.66/5.58 [183]~P29(x1831)+P29(x1832)+~E(x1831,x1832) % 5.66/5.58 [184]~P35(x1841)+P35(x1842)+~E(x1841,x1842) % 5.66/5.58 [185]~P47(x1851)+P47(x1852)+~E(x1851,x1852) % 5.66/5.58 [186]~P17(x1861)+P17(x1862)+~E(x1861,x1862) % 5.66/5.58 [187]~P16(x1871)+P16(x1872)+~E(x1871,x1872) % 5.66/5.58 [188]~P15(x1881)+P15(x1882)+~E(x1881,x1882) % 5.66/5.58 % 5.66/5.58 %------------------------------------------- % 5.77/5.60 cnf(1791,plain, % 5.77/5.60 (E(f13(a1,f5(a1)),f5(a1))), % 5.77/5.60 inference(equality_inference,[],[624])). % 5.77/5.60 cnf(1819,plain, % 5.77/5.60 (P5(x18191,x18192,x18192)+~P43(x18191)), % 5.77/5.60 inference(equality_inference,[],[712])). % 5.77/5.60 cnf(1834,plain, % 5.77/5.60 (~P6(a1,x18341,x18341)), % 5.77/5.60 inference(equality_inference,[],[778])). % 5.77/5.60 cnf(1836,plain, % 5.77/5.60 (~P6(a3,x18361,x18361)), % 5.77/5.60 inference(equality_inference,[],[784])). % 5.77/5.60 cnf(1844,plain, % 5.77/5.60 (~P64(x18441)+~P65(x18441)+~P73(x18441)+~P27(x18441)+E(x18442,f5(a2))+E(f42(f42(f22(x18441),f5(x18441)),x18442),f5(x18441))), % 5.77/5.60 inference(equality_inference,[],[828])). % 5.77/5.60 cnf(1847,plain, % 5.77/5.60 (E(f42(f42(f9(a2),f5(a2)),x18471),f42(f42(f9(a2),f5(a2)),x18472))), % 5.77/5.60 inference(equality_inference,[],[832])). % 5.77/5.60 cnf(1860,plain, % 5.77/5.60 (P6(a2,f5(a2),f42(f42(f22(a2),x18601),f5(a2)))), % 5.77/5.60 inference(equality_inference,[],[965])). % 5.77/5.60 cnf(1862,plain, % 5.77/5.60 (P6(a3,x18621,f12(a3,x18621,f10(a3)))), % 5.77/5.60 inference(equality_inference,[],[974])). % 5.77/5.60 cnf(1877,plain, % 5.77/5.60 (~P5(a2,x18771,x18772)+E(x18772,f12(a2,f11(a2,x18772,x18771),x18771))), % 5.77/5.60 inference(equality_inference,[],[1126])). % 5.77/5.60 cnf(1881,plain, % 5.77/5.60 (~P6(a2,f5(a2),x18811)+P8(a2,f42(f42(f9(a2),x18811),f10(a2)),x18811)), % 5.77/5.60 inference(equality_inference,[],[1161])). % 5.77/5.60 cnf(1882,plain, % 5.77/5.60 (~P6(a2,f5(a2),x18821)+P8(a2,f42(f42(f9(a2),f10(a2)),x18821),x18821)), % 5.77/5.60 inference(equality_inference,[],[1162])). % 5.77/5.60 cnf(1883,plain, % 5.77/5.60 (P8(a2,f42(f42(f9(a2),f5(a2)),x18831),f42(f42(f9(a2),f5(a2)),x18832))), % 5.77/5.60 inference(equality_inference,[],[1164])). % 5.77/5.60 cnf(1893,plain, % 5.77/5.60 (~P4(x18931)+~P8(f63(x18931),f24(x18931,f5(x18931),x18932),x18933)+E(x18933,f5(f63(x18931)))), % 5.77/5.60 inference(equality_inference,[],[1271])). % 5.77/5.60 cnf(1910,plain, % 5.77/5.60 (~P5(a2,x19101,x19101)+E(x19102,f12(a2,f42(f42(f9(a2),f11(a2,x19101,x19101)),x19103),x19102))), % 5.77/5.60 inference(equality_inference,[],[1732])). % 5.77/5.60 cnf(1911,plain, % 5.77/5.60 (~P5(a2,x19111,x19111)+E(f12(a2,f42(f42(f9(a2),f11(a2,x19111,x19111)),x19112),x19113),x19113)), % 5.77/5.60 inference(equality_inference,[],[1733])). % 5.77/5.60 cnf(1914,plain, % 5.77/5.60 (~P5(a2,x19141,x19142)+E(f12(a2,f42(f42(f9(a2),x19142),x19143),x19144),f12(a2,f42(f42(f9(a2),x19141),x19143),f12(a2,f42(f42(f9(a2),f11(a2,x19142,x19141)),x19143),x19144)))), % 5.77/5.60 inference(equality_inference,[],[1742])). % 5.77/5.60 cnf(1923,plain, % 5.77/5.60 (~E(x19231,f12(a3,x19231,f10(a3)))), % 5.77/5.60 inference(scs_inference,[],[1862,1860,418,778,783,784])). % 5.77/5.60 cnf(1925,plain, % 5.77/5.60 (~E(f12(a2,x19251,f12(a2,f5(a2),f10(a2))),x19251)), % 5.77/5.60 inference(scs_inference,[],[1862,543,1860,418,778,783,784,790])). % 5.77/5.60 cnf(1926,plain, % 5.77/5.60 (~E(f12(a2,x19261,f10(a2)),x19261)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(1928,plain, % 5.77/5.60 (~E(f12(a2,x19281,f12(a2,x19282,f10(a2))),x19282)), % 5.77/5.60 inference(scs_inference,[],[1862,543,1860,555,418,778,783,784,790,973])). % 5.77/5.60 cnf(1929,plain, % 5.77/5.60 (~P6(a2,f12(a2,x19291,x19292),x19292)), % 5.77/5.60 inference(rename_variables,[],[555])). % 5.77/5.60 cnf(1931,plain, % 5.77/5.60 (~E(f12(a3,x19311,f10(a3)),x19311)), % 5.77/5.60 inference(scs_inference,[],[1836,1862,543,1860,555,418,778,783,784,790,973,974])). % 5.77/5.60 cnf(1932,plain, % 5.77/5.60 (~P6(a3,x19321,x19321)), % 5.77/5.60 inference(rename_variables,[],[1836])). % 5.77/5.60 cnf(1934,plain, % 5.77/5.60 (P5(a62,x19341,x19341)), % 5.77/5.60 inference(scs_inference,[],[1836,1862,543,1860,555,380,418,778,783,784,790,973,974,1819])). % 5.77/5.60 cnf(1936,plain, % 5.77/5.60 (E(x19361,f12(a2,f11(a2,x19361,x19361),x19361))), % 5.77/5.60 inference(scs_inference,[],[1836,1862,543,412,1860,555,380,418,778,783,784,790,973,974,1819,1877])). % 5.77/5.60 cnf(1938,plain, % 5.77/5.60 (E(f5(a1),f13(a1,f5(a1)))), % 5.77/5.60 inference(scs_inference,[],[1836,1862,1791,543,412,1860,555,380,418,778,783,784,790,973,974,1819,1877,2])). % 5.77/5.60 cnf(1941,plain, % 5.77/5.60 (~P6(a2,x19411,f11(a2,x19412,x19412))), % 5.77/5.60 inference(scs_inference,[],[1836,1862,1791,543,412,1860,555,422,380,418,561,778,783,784,790,973,974,1819,1877,2,17,22,797])). % 5.77/5.60 cnf(1944,plain, % 5.77/5.60 (~E(f12(a2,x19441,f10(a2)),f5(a2))), % 5.77/5.60 inference(rename_variables,[],[549])). % 5.77/5.60 cnf(1947,plain, % 5.77/5.60 (~E(f12(a2,x19471,f10(a2)),f5(a2))), % 5.77/5.60 inference(rename_variables,[],[549])). % 5.77/5.60 cnf(1951,plain, % 5.77/5.60 (~P7(x19511,x19512,f15(a4,f24(a4,f14(a4,f42(f15(a4,a71),f5(a4))),a71)))), % 5.77/5.60 inference(scs_inference,[],[1836,1862,1791,543,412,1860,555,422,369,380,418,549,1944,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868])). % 5.77/5.60 cnf(1953,plain, % 5.77/5.60 (P7(x19531,x19532,f42(f9(a2),f5(a2)))), % 5.77/5.60 inference(scs_inference,[],[1836,1862,1791,543,1847,412,1860,555,422,369,380,418,549,1944,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880])). % 5.77/5.60 cnf(1954,plain, % 5.77/5.60 (E(f42(f42(f9(a2),f5(a2)),x19541),f42(f42(f9(a2),f5(a2)),x19542))), % 5.77/5.60 inference(rename_variables,[],[1847])). % 5.77/5.60 cnf(1956,plain, % 5.77/5.60 (P5(a2,x19561,f42(f42(f23(x19562,f12(a2,x19561,x19563),x19564),x19565),f5(a2)))), % 5.77/5.60 inference(scs_inference,[],[1836,1862,1791,543,1847,412,1860,555,422,369,380,470,418,549,1944,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918])). % 5.77/5.60 cnf(1957,plain, % 5.77/5.60 (E(f42(f42(f23(x19571,x19572,x19573),x19574),f5(a2)),x19572)), % 5.77/5.60 inference(rename_variables,[],[470])). % 5.77/5.60 cnf(1959,plain, % 5.77/5.60 (P5(a2,f12(a2,f5(a2),x19591),x19591)), % 5.77/5.60 inference(scs_inference,[],[1836,1862,1791,543,1847,412,1860,555,422,369,380,470,456,418,549,1944,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928])). % 5.77/5.60 cnf(1960,plain, % 5.77/5.60 (E(f11(a2,f12(a2,x19601,x19602),x19602),x19601)), % 5.77/5.60 inference(rename_variables,[],[456])). % 5.77/5.60 cnf(1963,plain, % 5.77/5.60 (~P6(a3,x19631,x19631)), % 5.77/5.60 inference(rename_variables,[],[1836])). % 5.77/5.60 cnf(1966,plain, % 5.77/5.60 (E(f12(a2,x19661,x19662),f12(a2,x19662,x19661))), % 5.77/5.60 inference(rename_variables,[],[442])). % 5.77/5.60 cnf(1969,plain, % 5.77/5.60 (~P6(a2,f12(a2,x19691,x19692),x19692)), % 5.77/5.60 inference(rename_variables,[],[555])). % 5.77/5.60 cnf(1972,plain, % 5.77/5.60 (~P6(a2,f12(a2,x19721,x19722),x19722)), % 5.77/5.60 inference(rename_variables,[],[555])). % 5.77/5.60 cnf(1977,plain, % 5.77/5.60 (~P6(a2,f12(a2,x19771,f12(a2,x19772,x19773)),x19773)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1862,1791,543,1847,412,1860,442,555,1929,1969,1972,422,369,380,470,408,456,418,549,1944,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170])). % 5.77/5.60 cnf(1978,plain, % 5.77/5.60 (~P6(a2,f12(a2,x19781,x19782),x19782)), % 5.77/5.60 inference(rename_variables,[],[555])). % 5.77/5.60 cnf(1981,plain, % 5.77/5.60 (~P6(a2,f12(a2,x19811,x19812),x19812)), % 5.77/5.60 inference(rename_variables,[],[555])). % 5.77/5.60 cnf(1984,plain, % 5.77/5.60 (~P5(a2,f12(a2,x19841,f10(a2)),x19841)), % 5.77/5.60 inference(rename_variables,[],[557])). % 5.77/5.60 cnf(1987,plain, % 5.77/5.60 (~P5(a2,f12(a2,x19871,f10(a2)),x19871)), % 5.77/5.60 inference(rename_variables,[],[557])). % 5.77/5.60 cnf(1989,plain, % 5.77/5.60 (~P6(a2,x19891,f11(a2,x19891,x19892))), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1862,1791,543,1847,412,538,1860,442,555,1929,1969,1972,1978,422,369,380,470,408,557,1984,456,418,549,1944,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178])). % 5.77/5.60 cnf(1990,plain, % 5.77/5.60 (~P6(a2,x19901,x19901)), % 5.77/5.60 inference(rename_variables,[],[538])). % 5.77/5.60 cnf(1995,plain, % 5.77/5.60 (~P5(a2,f12(a2,x19951,f12(a2,x19952,f10(a2))),x19952)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1862,1791,543,1847,412,538,1860,442,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192])). % 5.77/5.60 cnf(1996,plain, % 5.77/5.60 (~P6(a2,f12(a2,x19961,x19962),x19962)), % 5.77/5.60 inference(rename_variables,[],[555])). % 5.77/5.60 cnf(1998,plain, % 5.77/5.60 (~P6(a3,f12(a3,x19981,f10(a3)),x19981)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1862,1791,543,1847,412,538,1860,442,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193])). % 5.77/5.60 cnf(1999,plain, % 5.77/5.60 (~P6(a3,x19991,x19991)), % 5.77/5.60 inference(rename_variables,[],[1836])). % 5.77/5.60 cnf(2001,plain, % 5.77/5.60 (~P5(a3,f12(a3,x20011,f10(a3)),x20011)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,538,1860,442,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194])). % 5.77/5.60 cnf(2002,plain, % 5.77/5.60 (~P6(a3,x20021,x20021)), % 5.77/5.60 inference(rename_variables,[],[1836])). % 5.77/5.60 cnf(2006,plain, % 5.77/5.60 (P6(a1,f5(a1),f49(x20061,x20062,a65))), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,538,1860,442,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211])). % 5.77/5.60 cnf(2009,plain, % 5.77/5.60 (P6(a2,x20091,f12(a2,f12(a2,x20092,x20091),f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[494])). % 5.77/5.60 cnf(2011,plain, % 5.77/5.60 (P5(a2,x20111,f12(a2,x20112,f12(a2,x20113,x20111)))), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,538,1860,442,453,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287])). % 5.77/5.60 cnf(2012,plain, % 5.77/5.60 (P5(a2,x20121,f12(a2,x20122,x20121))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2015,plain, % 5.77/5.60 (P5(a2,x20151,f12(a2,x20152,x20151))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2018,plain, % 5.77/5.60 (E(f12(a2,x20181,x20182),f12(a2,x20182,x20181))), % 5.77/5.60 inference(rename_variables,[],[442])). % 5.77/5.60 cnf(2020,plain, % 5.77/5.60 (P6(a3,f11(a3,x20201,f10(a3)),x20201)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1860,442,1966,453,2012,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299])). % 5.77/5.60 cnf(2023,plain, % 5.77/5.60 (P5(a3,f11(a3,f12(a3,x20231,f10(a3)),f10(a3)),x20231)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1860,442,1966,453,2012,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301])). % 5.77/5.60 cnf(2026,plain, % 5.77/5.60 (P5(a2,x20261,f12(a2,x20261,x20262))), % 5.77/5.60 inference(rename_variables,[],[454])). % 5.77/5.60 cnf(2028,plain, % 5.77/5.60 (~P5(a2,f12(a2,f12(a2,x20281,f10(a2)),x20282),x20281)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368])). % 5.77/5.60 cnf(2033,plain, % 5.77/5.60 (~P6(a3,f11(a3,f12(a3,x20331,f10(a3)),f10(a3)),x20331)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375])). % 5.77/5.60 cnf(2035,plain, % 5.77/5.60 (~P6(a2,f12(a2,f11(a2,x20351,x20352),x20352),x20351)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462])). % 5.77/5.60 cnf(2036,plain, % 5.77/5.60 (~P6(a2,x20361,x20361)), % 5.77/5.60 inference(rename_variables,[],[538])). % 5.77/5.60 cnf(2038,plain, % 5.77/5.60 (~P5(a2,f11(a2,f12(a2,f12(a2,x20381,x20382),f10(a2)),x20382),x20381)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463])). % 5.77/5.60 cnf(2039,plain, % 5.77/5.60 (~P5(a2,f12(a2,x20391,f10(a2)),x20391)), % 5.77/5.60 inference(rename_variables,[],[557])). % 5.77/5.60 cnf(2042,plain, % 5.77/5.60 (~P6(a2,x20421,x20421)), % 5.77/5.60 inference(rename_variables,[],[538])). % 5.77/5.60 cnf(2046,plain, % 5.77/5.60 (P5(a2,x20461,f12(a2,f12(a2,x20462,x20461),x20463))), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564])). % 5.77/5.60 cnf(2048,plain, % 5.77/5.60 (P6(a2,x20481,f12(a2,x20482,f12(a2,f12(a2,x20481,f10(a2)),x20483)))), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574])). % 5.77/5.60 cnf(2052,plain, % 5.77/5.60 (P8(a2,f42(f42(f9(a2),f10(a2)),f42(f42(f22(a2),x20521),f5(a2))),f42(f42(f22(a2),x20521),f5(a2)))), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882])). % 5.77/5.60 cnf(2054,plain, % 5.77/5.60 (E(x20541,f12(a2,f42(f42(f9(a2),f11(a2,x20542,x20542)),x20543),x20541))), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910])). % 5.77/5.60 cnf(2056,plain, % 5.77/5.60 (E(f12(a2,f42(f42(f9(a2),f11(a2,x20561,x20561)),x20562),x20563),x20563)), % 5.77/5.60 inference(scs_inference,[],[1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911])). % 5.77/5.60 cnf(2060,plain, % 5.77/5.60 (P5(a1,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,369,374,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877])). % 5.77/5.60 cnf(2062,plain, % 5.77/5.60 (~P6(a1,f5(a1),f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65))), % 5.77/5.60 inference(scs_inference,[],[562,1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,202,369,374,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048])). % 5.77/5.60 cnf(2074,plain, % 5.77/5.60 (~P6(a1,f6(a1,f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65))),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,202,233,317,334,369,374,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093])). % 5.77/5.60 cnf(2076,plain, % 5.77/5.60 (~P6(a1,f5(a1),f12(a1,f5(a1),f5(a1)))), % 5.77/5.60 inference(scs_inference,[],[562,1834,1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,202,233,317,334,369,374,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356])). % 5.77/5.60 cnf(2077,plain, % 5.77/5.60 (~P6(a1,x20771,x20771)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2079,plain, % 5.77/5.60 (P6(a2,x20791,f12(a2,f12(a2,f12(a2,x20792,x20791),f10(a2)),x20793))), % 5.77/5.60 inference(scs_inference,[],[562,1834,1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,202,233,317,320,334,369,374,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577])). % 5.77/5.60 cnf(2081,plain, % 5.77/5.60 (P6(f12(a2,f11(a2,a3,a3),a3),x20811,f12(a3,x20811,f10(a3)))), % 5.77/5.60 inference(scs_inference,[],[562,1834,1836,1932,1963,1999,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,202,233,317,320,334,369,374,380,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103])). % 5.77/5.60 cnf(2082,plain, % 5.77/5.60 (~E(f5(a3),f10(a3))), % 5.77/5.60 inference(scs_inference,[],[562,1834,1836,1932,1963,1999,2002,1862,1791,543,1847,412,413,538,1990,2036,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,202,233,317,320,334,369,374,380,432,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104])). % 5.77/5.60 cnf(2083,plain, % 5.77/5.60 (~P6(a3,x20831,x20831)), % 5.77/5.60 inference(rename_variables,[],[1836])). % 5.77/5.60 cnf(2084,plain, % 5.77/5.60 (~E(f42(f42(f22(a2),x20841),f5(a2)),f5(a2))), % 5.77/5.60 inference(scs_inference,[],[562,1834,1836,1932,1963,1999,2002,1862,1791,543,1847,412,413,538,1990,2036,2042,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,202,233,317,320,334,369,374,380,432,470,408,557,1984,1987,494,456,418,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105])). % 5.77/5.60 cnf(2085,plain, % 5.77/5.60 (~P6(a2,x20851,x20851)), % 5.77/5.60 inference(rename_variables,[],[538])). % 5.77/5.60 cnf(2091,plain, % 5.77/5.60 (~E(f12(a2,x20911,f10(a2)),x20911)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2098,plain, % 5.77/5.60 (~E(f12(a2,x20981,f10(a2)),x20981)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2102,plain, % 5.77/5.60 (~E(f6(a1,f12(a3,f6(a1,x21021),f10(a3))),x21021)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,1847,412,413,538,1990,2036,2042,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,196,198,202,233,239,317,320,328,329,334,369,374,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667])). % 5.77/5.60 cnf(2108,plain, % 5.77/5.60 (~P6(a1,f13(a1,f5(a1)),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,1847,412,413,538,1990,2036,2042,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,196,198,202,233,239,317,320,328,329,334,367,369,374,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825])). % 5.77/5.60 cnf(2112,plain, % 5.77/5.60 (~E(f12(a1,x21121,f10(a1)),x21121)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,1847,1954,412,413,538,1990,2036,2042,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,196,198,202,233,239,317,320,328,329,334,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836])). % 5.77/5.60 cnf(2114,plain, % 5.77/5.60 (~E(f12(a1,f10(a1),f10(a1)),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,1847,1954,412,413,538,1990,2036,2042,1860,442,1966,453,2012,454,2026,555,1929,1969,1972,1978,1981,422,196,198,202,233,239,317,320,328,329,334,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843])). % 5.77/5.60 cnf(2117,plain, % 5.77/5.60 (~E(f12(a2,x21171,f10(a2)),x21171)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2120,plain, % 5.77/5.60 (~E(f12(a2,x21201,f10(a2)),x21201)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2125,plain, % 5.77/5.60 (~E(f12(a2,x21251,f10(a2)),x21251)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2126,plain, % 5.77/5.60 (P5(a2,x21261,f12(a2,x21262,x21261))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2128,plain, % 5.77/5.60 (~E(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21281),f12(a2,f12(a2,f42(f42(f9(a2),a3),x21281),x21282),f10(a2))),x21282)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,1847,1954,412,413,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,196,198,202,233,239,317,320,328,329,334,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743])). % 5.77/5.60 cnf(2129,plain, % 5.77/5.60 (P5(a2,x21291,x21291)), % 5.77/5.60 inference(rename_variables,[],[412])). % 5.77/5.60 cnf(2132,plain, % 5.77/5.60 (~E(f12(a2,x21321,f10(a2)),x21321)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2135,plain, % 5.77/5.60 (P1(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,412,413,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,196,198,200,202,233,239,317,320,328,329,334,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102])). % 5.77/5.60 cnf(2138,plain, % 5.77/5.60 (P5(a1,x21381,x21381)), % 5.77/5.60 inference(rename_variables,[],[411])). % 5.77/5.60 cnf(2140,plain, % 5.77/5.60 (P5(a1,x21401,x21401)), % 5.77/5.60 inference(rename_variables,[],[411])). % 5.77/5.60 cnf(2141,plain, % 5.77/5.60 (P2(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21411),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,196,198,200,202,233,239,317,320,328,329,334,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109])). % 5.77/5.60 cnf(2143,plain, % 5.77/5.60 (P8(a2,x21431,x21431)), % 5.77/5.60 inference(rename_variables,[],[414])). % 5.77/5.60 cnf(2144,plain, % 5.77/5.60 (P8(a2,f13(a1,f5(a1)),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,196,198,200,202,233,239,317,320,328,329,334,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112])). % 5.77/5.60 cnf(2145,plain, % 5.77/5.60 (P8(a2,x21451,x21451)), % 5.77/5.60 inference(rename_variables,[],[414])). % 5.77/5.60 cnf(2146,plain, % 5.77/5.60 (P3(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21461),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,317,320,328,329,334,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113])). % 5.77/5.60 cnf(2147,plain, % 5.77/5.60 (P32(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,317,320,328,329,334,335,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114])). % 5.77/5.60 cnf(2148,plain, % 5.77/5.60 (P45(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21481),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,317,320,328,329,334,335,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115])). % 5.77/5.60 cnf(2149,plain, % 5.77/5.60 (P57(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,317,320,328,329,334,335,338,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116])). % 5.77/5.60 cnf(2150,plain, % 5.77/5.60 (P46(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21501),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,317,320,328,329,334,335,338,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117])). % 5.77/5.60 cnf(2151,plain, % 5.77/5.60 (P50(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,317,320,328,329,334,335,338,348,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118])). % 5.77/5.60 cnf(2152,plain, % 5.77/5.60 (P4(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21521),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,317,320,328,329,334,335,338,348,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119])). % 5.77/5.60 cnf(2153,plain, % 5.77/5.60 (P19(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,300,317,320,328,329,334,335,338,348,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120])). % 5.77/5.60 cnf(2154,plain, % 5.77/5.60 (P11(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21541),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,233,239,300,317,320,328,329,334,335,338,348,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121])). % 5.77/5.60 cnf(2155,plain, % 5.77/5.60 (P12(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21551),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,233,239,300,317,320,328,329,334,335,338,348,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122])). % 5.77/5.60 cnf(2156,plain, % 5.77/5.60 (P14(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,233,239,300,317,320,328,329,334,335,338,348,349,367,369,374,377,378,380,432,470,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123])). % 5.77/5.60 cnf(2158,plain, % 5.77/5.60 (E(f42(f42(f23(x21581,x21582,x21583),x21584),f5(a2)),x21582)), % 5.77/5.60 inference(rename_variables,[],[470])). % 5.77/5.60 cnf(2159,plain, % 5.77/5.60 (P38(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,233,239,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125])). % 5.77/5.60 cnf(2160,plain, % 5.77/5.60 (P43(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,233,239,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126])). % 5.77/5.60 cnf(2161,plain, % 5.77/5.60 (P59(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,233,239,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127])). % 5.77/5.60 cnf(2162,plain, % 5.77/5.60 (P28(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,233,239,284,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128])). % 5.77/5.60 cnf(2163,plain, % 5.77/5.60 (P52(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,220,233,239,284,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129])). % 5.77/5.60 cnf(2164,plain, % 5.77/5.60 (P66(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,220,233,239,284,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130])). % 5.77/5.60 cnf(2165,plain, % 5.77/5.60 (P54(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,220,233,234,239,284,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131])). % 5.77/5.60 cnf(2166,plain, % 5.77/5.60 (P68(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,220,233,234,239,284,300,317,320,328,329,334,335,338,348,349,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132])). % 5.77/5.60 cnf(2167,plain, % 5.77/5.60 (P48(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,220,233,234,239,284,300,317,320,328,329,334,335,338,348,349,355,367,368,369,374,377,378,379,380,432,470,1957,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133])). % 5.77/5.60 cnf(2169,plain, % 5.77/5.60 (E(f42(f42(f23(x21691,x21692,x21693),x21694),f5(a2)),x21692)), % 5.77/5.60 inference(rename_variables,[],[470])). % 5.77/5.60 cnf(2170,plain, % 5.77/5.60 (P67(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,233,234,239,284,300,317,320,328,329,334,335,338,348,349,355,367,368,369,374,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135])). % 5.77/5.60 cnf(2171,plain, % 5.77/5.60 (P27(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,226,233,234,239,284,300,317,320,328,329,334,335,338,348,349,355,367,368,369,374,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136])). % 5.77/5.60 cnf(2172,plain, % 5.77/5.60 (P34(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,226,233,234,239,284,288,300,317,320,328,329,334,335,338,348,349,355,367,368,369,374,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139])). % 5.77/5.60 cnf(2173,plain, % 5.77/5.60 (P53(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,233,234,239,284,288,300,317,320,328,329,334,335,338,348,349,355,367,368,369,374,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141])). % 5.77/5.60 cnf(2174,plain, % 5.77/5.60 (P76(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,233,234,239,284,288,300,317,320,328,329,334,335,338,348,349,352,355,367,368,369,374,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142])). % 5.77/5.60 cnf(2175,plain, % 5.77/5.60 (P51(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,233,234,239,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145])). % 5.77/5.60 cnf(2176,plain, % 5.77/5.60 (P61(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,232,233,234,239,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146])). % 5.77/5.60 cnf(2177,plain, % 5.77/5.60 (P40(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,232,233,234,239,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147])). % 5.77/5.60 cnf(2178,plain, % 5.77/5.60 (P60(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,239,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148])). % 5.77/5.60 cnf(2179,plain, % 5.77/5.60 (P73(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,239,257,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149])). % 5.77/5.60 cnf(2180,plain, % 5.77/5.60 (P13(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21801),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,239,257,273,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150])). % 5.77/5.60 cnf(2181,plain, % 5.77/5.60 (P58(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,239,257,273,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151])). % 5.77/5.60 cnf(2182,plain, % 5.77/5.60 (P36(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,239,257,273,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152])). % 5.77/5.60 cnf(2183,plain, % 5.77/5.60 (P55(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21831),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,239,257,273,284,288,300,317,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153])). % 5.77/5.60 cnf(2184,plain, % 5.77/5.60 (P24(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,239,257,273,284,288,300,317,318,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154])). % 5.77/5.60 cnf(2185,plain, % 5.77/5.60 (P44(f12(a2,f42(f42(f9(a2),f11(a2,a3,a3)),x21851),a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,239,257,273,284,288,300,317,318,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156])). % 5.77/5.60 cnf(2186,plain, % 5.77/5.60 (P70(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,239,257,268,273,284,288,300,317,318,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157])). % 5.77/5.60 cnf(2187,plain, % 5.77/5.60 (P62(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,257,268,273,284,288,300,317,318,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158])). % 5.77/5.60 cnf(2188,plain, % 5.77/5.60 (P69(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,249,257,268,273,284,288,300,317,318,320,328,329,334,335,338,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159])). % 5.77/5.60 cnf(2189,plain, % 5.77/5.60 (P71(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,249,257,268,273,284,288,300,317,318,320,328,329,334,335,338,341,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160])). % 5.77/5.60 cnf(2190,plain, % 5.77/5.60 (P33(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,249,257,268,273,284,288,300,317,318,320,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161])). % 5.77/5.60 cnf(2191,plain, % 5.77/5.60 (P63(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,249,257,268,273,284,288,300,317,318,320,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162])). % 5.77/5.60 cnf(2193,plain, % 5.77/5.60 (P64(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,257,268,273,284,288,300,317,318,320,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166])). % 5.77/5.60 cnf(2194,plain, % 5.77/5.60 (P22(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,257,268,273,284,288,300,316,317,318,320,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167])). % 5.77/5.60 cnf(2195,plain, % 5.77/5.60 (P39(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,257,268,273,284,288,300,316,317,318,320,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168])). % 5.77/5.60 cnf(2196,plain, % 5.77/5.60 (P30(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,257,268,273,284,288,300,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169])). % 5.77/5.60 cnf(2197,plain, % 5.77/5.60 (P75(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,257,268,273,281,284,288,300,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170])). % 5.77/5.60 cnf(2198,plain, % 5.77/5.60 (P56(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,257,268,273,277,281,284,288,300,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171])). % 5.77/5.60 cnf(2199,plain, % 5.77/5.60 (P49(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,257,268,273,277,281,284,288,300,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,365,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172])). % 5.77/5.60 cnf(2200,plain, % 5.77/5.60 (P65(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,268,273,277,281,284,288,300,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,365,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173])). % 5.77/5.60 cnf(2201,plain, % 5.77/5.60 (P37(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,268,273,277,281,284,288,300,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174])). % 5.77/5.60 cnf(2202,plain, % 5.77/5.60 (P23(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,268,273,277,281,284,288,300,312,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,392,396,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175])). % 5.77/5.60 cnf(2203,plain, % 5.77/5.60 (P21(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,268,273,277,281,284,288,300,312,316,317,318,320,321,327,328,329,334,335,338,341,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177])). % 5.77/5.60 cnf(2204,plain, % 5.77/5.60 (P72(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,268,273,277,281,284,288,300,312,316,317,318,320,321,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178])). % 5.77/5.60 cnf(2205,plain, % 5.77/5.60 (P20(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,268,273,277,281,284,288,300,304,312,316,317,318,320,321,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179])). % 5.77/5.60 cnf(2206,plain, % 5.77/5.60 (P26(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,268,273,277,281,284,288,300,304,312,316,317,318,320,321,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180])). % 5.77/5.60 cnf(2207,plain, % 5.77/5.60 (P74(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,268,273,277,281,284,288,300,304,312,316,317,318,320,321,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181])). % 5.77/5.60 cnf(2208,plain, % 5.77/5.60 (P31(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,268,273,277,281,284,288,300,304,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182])). % 5.77/5.60 cnf(2209,plain, % 5.77/5.60 (P29(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,268,273,277,281,284,288,300,304,308,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183])). % 5.77/5.60 cnf(2210,plain, % 5.77/5.60 (P35(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,268,273,277,281,284,288,300,304,308,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184])). % 5.77/5.60 cnf(2211,plain, % 5.77/5.60 (P47(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,273,277,281,284,288,300,304,308,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185])). % 5.77/5.60 cnf(2212,plain, % 5.77/5.60 (P17(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,273,277,281,284,288,296,300,304,308,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186])). % 5.77/5.60 cnf(2213,plain, % 5.77/5.60 (P16(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,273,277,281,284,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187])). % 5.77/5.60 cnf(2214,plain, % 5.77/5.60 (P15(f12(a2,f11(a2,a3,a3),a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188])). % 5.77/5.60 cnf(2215,plain, % 5.77/5.60 (~E(f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)),f10(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,334,335,338,341,344,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,408,557,1984,1987,494,456,418,551,526,549,1944,1947,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640])). % 5.77/5.60 cnf(2218,plain, % 5.77/5.60 (~E(f12(a2,x22181,f10(a2)),x22181)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2221,plain, % 5.77/5.60 (E(f42(f42(f23(x22211,x22212,x22213),x22214),f5(a2)),x22212)), % 5.77/5.60 inference(rename_variables,[],[470])). % 5.77/5.60 cnf(2224,plain, % 5.77/5.60 (~E(f12(a2,x22241,f10(a2)),x22241)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2227,plain, % 5.77/5.60 (~E(f12(a2,x22271,f10(a2)),x22271)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2245,plain, % 5.77/5.60 (~E(f12(a2,x22451,f10(a2)),x22451)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2247,plain, % 5.77/5.60 (~P5(a2,f12(a2,f10(a2),f12(a2,f5(a2),f10(a2))),f10(a2))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,418,551,526,536,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926])). % 5.77/5.60 cnf(2249,plain, % 5.77/5.60 (E(f11(a3,f12(a3,x22491,f10(a3)),f10(a3)),x22491)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,418,551,526,536,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927])). % 5.77/5.60 cnf(2253,plain, % 5.77/5.60 (~P6(a3,f10(a3),f5(a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,555,1929,1969,1972,1978,1981,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,359,362,365,367,368,369,372,374,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,418,551,526,536,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940])). % 5.77/5.60 cnf(2259,plain, % 5.77/5.60 (P5(a2,f5(a2),x22591)), % 5.77/5.60 inference(rename_variables,[],[424])). % 5.77/5.60 cnf(2262,plain, % 5.77/5.60 (E(f11(a2,f12(a2,x22621,x22622),x22622),x22621)), % 5.77/5.60 inference(rename_variables,[],[456])). % 5.77/5.60 cnf(2267,plain, % 5.77/5.60 (~P5(a1,a65,f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,359,362,365,366,367,368,369,372,374,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,1960,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010])). % 5.77/5.60 cnf(2269,plain, % 5.77/5.60 (~P6(f12(a2,f11(a2,a3,a3),a3),f12(a3,f6(a1,x22691),f10(a3)),f6(a1,x22691))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,359,362,365,366,367,368,369,372,374,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,1960,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011])). % 5.77/5.60 cnf(2274,plain, % 5.77/5.60 (~E(f12(a2,x22741,f10(a2)),x22741)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2277,plain, % 5.77/5.60 (~E(f12(a2,x22771,f10(a2)),x22771)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2280,plain, % 5.77/5.60 (~P6(a2,x22801,f5(a2))), % 5.77/5.60 inference(rename_variables,[],[541])). % 5.77/5.60 cnf(2283,plain, % 5.77/5.60 (~P6(a1,x22831,x22831)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2285,plain, % 5.77/5.60 (~P5(a3,f10(a3),f6(a3,f10(a3)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,1836,1932,1963,1999,2002,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,1960,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065])). % 5.77/5.60 cnf(2288,plain, % 5.77/5.60 (~P6(a3,x22881,x22881)), % 5.77/5.60 inference(rename_variables,[],[1836])). % 5.77/5.60 cnf(2291,plain, % 5.77/5.60 (~P6(a1,x22911,x22911)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2293,plain, % 5.77/5.60 (~P5(a3,f5(a3),f6(a3,f10(a3)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,1836,1932,1963,1999,2002,2083,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,1960,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083])). % 5.77/5.60 cnf(2296,plain, % 5.77/5.60 (~P6(a1,x22961,x22961)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2299,plain, % 5.77/5.60 (~P6(a3,x22991,x22991)), % 5.77/5.60 inference(rename_variables,[],[1836])). % 5.77/5.60 cnf(2303,plain, % 5.77/5.60 (~P5(a3,f6(a3,f6(a3,f10(a3))),f5(a3))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,1960,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094])). % 5.77/5.60 cnf(2308,plain, % 5.77/5.60 (~P6(a1,x23081,x23081)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2310,plain, % 5.77/5.60 (~P5(a3,f10(a3),f6(a3,f5(a3)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,1960,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108])). % 5.77/5.60 cnf(2313,plain, % 5.77/5.60 (~P6(a1,x23131,x23131)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2315,plain, % 5.77/5.60 (~P5(a3,f6(a3,f5(a3)),f6(a3,f10(a3)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,557,1984,1987,494,456,1960,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112])). % 5.77/5.60 cnf(2323,plain, % 5.77/5.60 (P6(a2,x23231,f12(a2,x23231,f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[459])). % 5.77/5.60 cnf(2324,plain, % 5.77/5.60 (P6(a2,x23241,f12(a2,f12(a2,x23242,x23241),f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[494])). % 5.77/5.60 cnf(2328,plain, % 5.77/5.60 (P6(a2,x23281,f12(a2,x23281,f42(f42(f22(a2),x23282),f5(a2))))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,2129,413,414,2143,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,459,557,1984,1987,2039,494,2009,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289])). % 5.77/5.60 cnf(2331,plain, % 5.77/5.60 (P8(a2,x23311,f42(f42(f9(a2),x23312),x23311))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,2129,413,414,2143,2145,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,459,557,1984,1987,2039,494,2009,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297])). % 5.77/5.60 cnf(2332,plain, % 5.77/5.60 (P8(a2,x23321,x23321)), % 5.77/5.60 inference(rename_variables,[],[414])). % 5.77/5.60 cnf(2334,plain, % 5.77/5.60 (P8(a2,x23341,f42(f42(f9(a2),x23341),x23342))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,459,557,1984,1987,2039,494,2009,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298])). % 5.77/5.60 cnf(2337,plain, % 5.77/5.60 (P6(a2,x23371,f12(a2,f6(a1,f12(a2,f6(a1,f11(a2,x23371,x23371)),f10(a2))),x23371))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,459,557,1984,1987,2039,494,2009,2324,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311])). % 5.77/5.60 cnf(2338,plain, % 5.77/5.60 (P6(a2,x23381,f12(a2,f12(a2,x23382,x23381),f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[494])). % 5.77/5.60 cnf(2340,plain, % 5.77/5.60 (~P6(a1,f5(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2))))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,459,557,1984,1987,2039,494,2009,2324,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329])). % 5.77/5.60 cnf(2344,plain, % 5.77/5.60 (~P6(a2,f42(f42(f22(a2),x23441),f5(a2)),f12(a2,f5(a2),f10(a2)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,1836,1932,1963,1999,2002,2083,2288,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,2085,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,459,557,1984,1987,2039,494,2009,2324,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352])). % 5.77/5.60 cnf(2345,plain, % 5.77/5.60 (~P6(a2,x23451,x23451)), % 5.77/5.60 inference(rename_variables,[],[538])). % 5.77/5.60 cnf(2348,plain, % 5.77/5.60 (~P6(a1,x23481,x23481)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2355,plain, % 5.77/5.60 (~P5(a3,f5(a3),f12(a3,f6(a3,f10(a3)),f6(a3,f10(a3))))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,2085,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,408,459,557,1984,1987,2039,494,2009,2324,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357])). % 5.77/5.60 cnf(2362,plain, % 5.77/5.60 (E(f42(f42(f23(x23621,x23622,x23623),x23624),f5(a2)),x23622)), % 5.77/5.60 inference(rename_variables,[],[470])). % 5.77/5.60 cnf(2364,plain, % 5.77/5.60 (P6(a2,f56(f12(a2,f5(a2),f10(a2)),f12(a2,f5(a2),f10(a2))),f12(a2,f5(a2),f10(a2)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,2085,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,557,1984,1987,2039,494,2009,2324,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366])). % 5.77/5.60 cnf(2365,plain, % 5.77/5.60 (P6(a2,x23651,f12(a2,x23651,f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[459])). % 5.77/5.60 cnf(2366,plain, % 5.77/5.60 (~E(f12(a2,x23661,f10(a2)),x23661)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2368,plain, % 5.77/5.60 (E(x23681,f12(a2,f5(a2),x23681))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,2085,1860,442,1966,453,2012,2015,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371])). % 5.77/5.60 cnf(2374,plain, % 5.77/5.60 (P6(a2,x23741,f12(a2,x23741,f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[459])). % 5.77/5.60 cnf(2375,plain, % 5.77/5.60 (~P6(a2,x23751,x23751)), % 5.77/5.60 inference(rename_variables,[],[538])). % 5.77/5.60 cnf(2377,plain, % 5.77/5.60 (P5(a2,f10(a2),f6(a1,f12(a2,f6(a1,f11(a2,f10(a2),f10(a2))),f10(a2))))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438])). % 5.77/5.60 cnf(2378,plain, % 5.77/5.60 (P5(a2,x23781,f12(a2,x23782,x23781))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2381,plain, % 5.77/5.60 (~E(f12(a2,x23811,f10(a2)),x23811)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2383,plain, % 5.77/5.60 (~E(f12(f63(a1),f24(a1,x23831,f12(a2,f5(f63(a1)),f10(a2))),f18(a1,x23832,f12(a2,f5(f63(a1)),f10(a2)))),f5(f63(a1)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,1847,1954,411,2138,412,2129,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565])). % 5.77/5.60 cnf(2384,plain, % 5.77/5.60 (~E(f12(a2,x23841,f10(a2)),x23841)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2387,plain, % 5.77/5.60 (P5(a2,x23871,x23871)), % 5.77/5.60 inference(rename_variables,[],[412])). % 5.77/5.60 cnf(2390,plain, % 5.77/5.60 (P5(a2,x23901,x23901)), % 5.77/5.60 inference(rename_variables,[],[412])). % 5.77/5.60 cnf(2393,plain, % 5.77/5.60 (~E(f12(a2,x23931,f10(a2)),x23931)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2398,plain, % 5.77/5.60 (E(f12(a2,f42(f42(f9(a2),x23981),x23982),f12(a2,f42(f42(f9(a2),x23983),x23982),x23984)),f12(a2,f42(f42(f9(a2),f12(a2,x23981,x23983)),x23982),x23984))), % 5.77/5.60 inference(rename_variables,[],[519])). % 5.77/5.60 cnf(2399,plain, % 5.77/5.60 (P5(a2,x23991,f12(a2,x23992,x23991))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2401,plain, % 5.77/5.60 (E(f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f12(a2,f5(a2),f5(a2)))),x24011),f12(a2,f42(f42(f9(a2),f5(a2)),x24011),x24012)),x24012)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733])). % 5.77/5.60 cnf(2404,plain, % 5.77/5.60 (~E(x24041,f12(a1,f42(f42(f9(a1),f11(a1,x24042,x24043)),x24044),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x24043,x24042)),x24044),x24041),f10(a2))))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740])). % 5.77/5.60 cnf(2407,plain, % 5.77/5.60 (P5(a2,x24071,x24071)), % 5.77/5.60 inference(rename_variables,[],[412])). % 5.77/5.60 cnf(2409,plain, % 5.77/5.60 (P6(a2,x24091,f12(a2,f42(f42(f9(a2),f11(a2,x24092,x24092)),x24093),f12(a2,f12(a2,f42(f42(f9(a2),x24092),x24093),x24091),f10(a2))))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764])). % 5.77/5.60 cnf(2411,plain, % 5.77/5.60 (P5(a2,x24111,f12(a2,f42(f42(f9(a2),f11(a2,x24112,x24112)),x24113),f12(a2,x24114,f12(a2,f42(f42(f9(a2),x24112),x24113),x24111))))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765])). % 5.77/5.60 cnf(2413,plain, % 5.77/5.60 (P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x24131,x24131)),x24132),x24133),f12(a2,f12(a2,f42(f42(f9(a2),x24131),x24132),x24133),f10(a2)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766])). % 5.77/5.60 cnf(2415,plain, % 5.77/5.60 (P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f5(a2))),x24151),x24152),x24152)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,2259,541,422,191,192,194,196,198,200,202,203,207,210,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767])). % 5.77/5.60 cnf(2416,plain, % 5.77/5.60 (P5(a2,x24161,x24161)), % 5.77/5.60 inference(rename_variables,[],[412])). % 5.77/5.60 cnf(2417,plain, % 5.77/5.60 (P5(a2,f5(a2),x24171)), % 5.77/5.60 inference(rename_variables,[],[424])). % 5.77/5.60 cnf(2420,plain, % 5.77/5.60 (~P6(a1,x24201,x24201)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2423,plain, % 5.77/5.60 (~P6(a1,x24231,x24231)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2425,plain, % 5.77/5.60 (~P6(a2,x24251,f12(a2,f42(f42(f9(a2),f11(a2,x24252,x24252)),x24253),x24251))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,2259,541,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774])). % 5.77/5.60 cnf(2426,plain, % 5.77/5.60 (~P6(a2,x24261,x24261)), % 5.77/5.60 inference(rename_variables,[],[538])). % 5.77/5.60 cnf(2428,plain, % 5.77/5.60 (~P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x24281,x24281)),x24282),f12(a2,f12(a2,f42(f42(f9(a2),x24281),x24282),x24283),x24284)),x24283)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,2259,541,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776])). % 5.77/5.60 cnf(2430,plain, % 5.77/5.60 (~P6(a1,x24301,f12(a1,f42(f42(f9(a1),f11(a1,x24302,x24302)),x24303),x24301))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,2259,541,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778])). % 5.77/5.60 cnf(2431,plain, % 5.77/5.60 (~P6(a1,x24311,x24311)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2433,plain, % 5.77/5.60 (~P6(a1,f12(a1,f42(f42(f9(a1),f11(a1,x24331,x24331)),x24332),x24333),x24333)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,2259,541,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780])). % 5.77/5.60 cnf(2434,plain, % 5.77/5.60 (~P6(a1,x24341,x24341)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2437,plain, % 5.77/5.60 (P5(a1,x24371,x24371)), % 5.77/5.60 inference(rename_variables,[],[411])). % 5.77/5.60 cnf(2439,plain, % 5.77/5.60 (P5(a1,f13(a1,f5(a1)),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,2140,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,2259,541,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889])). % 5.77/5.60 cnf(2441,plain, % 5.77/5.60 (~P5(a2,a69,f5(a2))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,2140,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,424,2259,541,2280,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,557,1984,1987,2039,494,2009,2324,2338,456,1960,428,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946])). % 5.77/5.60 cnf(2442,plain, % 5.77/5.60 (~P6(a2,x24421,f5(a2))), % 5.77/5.60 inference(rename_variables,[],[541])). % 5.77/5.60 cnf(2445,plain, % 5.77/5.60 (~P6(a2,f12(a2,x24451,x24452),x24451)), % 5.77/5.60 inference(rename_variables,[],[556])). % 5.77/5.60 cnf(2450,plain, % 5.77/5.60 (P6(a2,x24501,f12(a2,f12(a2,f12(a2,x24501,x24502),f10(a2)),f10(a2)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,2140,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,556,424,2259,541,2280,2442,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,2374,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,428,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146])). % 5.77/5.60 cnf(2451,plain, % 5.77/5.60 (P6(a2,x24511,f12(a2,x24511,f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[459])). % 5.77/5.60 cnf(2453,plain, % 5.77/5.60 (~P6(a2,f12(a2,x24531,f10(a2)),f11(a2,x24531,x24532))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,2140,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,556,424,2259,541,2280,2442,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,408,459,2323,2365,2374,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149])). % 5.77/5.60 cnf(2456,plain, % 5.77/5.60 (P8(f63(a1),f24(a1,f13(a1,f5(a1)),x24561),f42(f42(f23(x24562,f5(f63(a1)),x24563),x24564),f5(a2)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,1847,1954,411,2138,2140,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,556,424,2259,541,2280,2442,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,408,459,2323,2365,2374,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076])). % 5.77/5.60 cnf(2457,plain, % 5.77/5.60 (E(f42(f42(f23(x24571,x24572,x24573),x24574),f5(a2)),x24572)), % 5.77/5.60 inference(rename_variables,[],[470])). % 5.77/5.60 cnf(2459,plain, % 5.77/5.60 (~P8(f63(a1),f24(a1,f13(a1,f5(a1)),x24591),f12(a2,f5(f63(a1)),f10(a2)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,1847,1954,411,2138,2140,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,454,2026,455,555,1929,1969,1972,1978,1981,556,424,2259,541,2280,2442,422,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,408,459,2323,2365,2374,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271])). % 5.77/5.60 cnf(2460,plain, % 5.77/5.60 (~E(f12(a2,x24601,f10(a2)),x24601)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2463,plain, % 5.77/5.60 (~E(f12(a2,x24631,f10(a2)),x24631)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2466,plain, % 5.77/5.60 (P5(a2,x24661,f12(a2,x24662,x24661))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2475,plain, % 5.77/5.60 (P5(a2,x24751,f12(a2,x24752,x24751))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2480,plain, % 5.77/5.60 (~P6(a1,x24801,x24801)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2483,plain, % 5.77/5.60 (~P6(a1,x24831,x24831)), % 5.77/5.60 inference(rename_variables,[],[1834])). % 5.77/5.60 cnf(2484,plain, % 5.77/5.60 (P5(a1,x24841,x24841)), % 5.77/5.60 inference(rename_variables,[],[411])). % 5.77/5.60 cnf(2486,plain, % 5.77/5.60 (~P5(a1,f12(a1,a65,x24861),x24861)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,1847,1954,411,2138,2140,2437,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,2399,2466,454,2026,455,555,1929,1969,1972,1978,1981,556,424,2259,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,282,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386])). % 5.77/5.60 cnf(2490,plain, % 5.77/5.60 (P5(a2,f5(a2),x24901)), % 5.77/5.60 inference(rename_variables,[],[424])). % 5.77/5.60 cnf(2493,plain, % 5.77/5.60 (P5(a2,x24931,x24931)), % 5.77/5.60 inference(rename_variables,[],[412])). % 5.77/5.60 cnf(2495,plain, % 5.77/5.60 (~P6(a1,f42(f42(f9(a1),f11(a1,x24951,x24951)),x24952),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,2399,2466,454,2026,455,555,1929,1969,1972,1978,1981,556,424,2259,2417,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435])). % 5.77/5.60 cnf(2504,plain, % 5.77/5.60 (~P5(a2,f12(a2,x25041,f42(f42(f22(a2),x25042),f5(a2))),x25041)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,2399,2466,454,2026,455,555,1929,1969,1972,1978,1981,556,2445,424,2259,2417,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526])). % 5.77/5.60 cnf(2507,plain, % 5.77/5.60 (~P5(a2,f12(a2,f42(f42(f22(a2),x25071),f5(a2)),x25072),x25072)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,2399,2466,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527])). % 5.77/5.60 cnf(2511,plain, % 5.77/5.60 (P5(a2,f5(a2),x25111)), % 5.77/5.60 inference(rename_variables,[],[424])). % 5.77/5.60 cnf(2512,plain, % 5.77/5.60 (P5(a2,x25121,f12(a2,x25122,x25121))), % 5.77/5.60 inference(rename_variables,[],[453])). % 5.77/5.60 cnf(2514,plain, % 5.77/5.60 (E(f42(f42(f9(a2),f11(a2,f5(a2),f12(a2,f5(a2),f5(a2)))),x25141),f5(a2))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279])). % 5.77/5.60 cnf(2516,plain, % 5.77/5.60 (P5(a2,f5(a2),x25161)), % 5.77/5.60 inference(rename_variables,[],[424])). % 5.77/5.60 cnf(2518,plain, % 5.77/5.60 (~E(f42(f42(f9(a2),f12(a2,f5(a2),f10(a2))),f5(a1)),f42(f42(f9(a2),f12(a2,f5(a2),f10(a2))),f10(a1)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611])). % 5.77/5.60 cnf(2520,plain, % 5.77/5.60 (~E(f12(a2,x25201,f10(a2)),x25201)), % 5.77/5.60 inference(rename_variables,[],[543])). % 5.77/5.60 cnf(2522,plain, % 5.77/5.60 (E(f12(a2,f11(a2,x25221,x25221),f11(a2,x25221,x25221)),f5(a2))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,226,229,232,233,234,235,238,239,242,246,249,253,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244])). % 5.77/5.60 cnf(2525,plain, % 5.77/5.60 (E(f42(f42(f22(a1),f5(a1)),f12(a2,f5(a2),f10(a2))),f5(a1))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844])). % 5.77/5.60 cnf(2530,plain, % 5.77/5.60 (~E(f12(a2,f12(a2,x25301,f10(a2)),x25302),x25301)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686])). % 5.77/5.60 cnf(2534,plain, % 5.77/5.60 (~E(x25341,f12(a3,f10(a3),f6(a3,x25341)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11])). % 5.77/5.60 cnf(2535,plain, % 5.77/5.60 (~E(f12(a2,f12(a2,f11(a2,x25351,f10(a2)),f10(a2)),f10(a2)),x25351)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13])). % 5.77/5.60 cnf(2536,plain, % 5.77/5.60 (~E(f6(a1,f6(a1,f12(a2,x25361,f10(a2)))),x25361)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21])). % 5.77/5.60 cnf(2539,plain, % 5.77/5.60 (P5(a1,f5(a1),a65)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848])). % 5.77/5.60 cnf(2551,plain, % 5.77/5.60 (~P6(a3,f5(a3),f6(a3,f10(a3)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936])). % 5.77/5.60 cnf(2553,plain, % 5.77/5.60 (E(f42(f42(f9(a2),x25531),x25532),f42(f42(f9(a2),f11(a2,f12(a2,x25531,x25531),x25531)),x25532))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976])). % 5.77/5.60 cnf(2555,plain, % 5.77/5.60 (P5(a2,f11(a2,f10(a2),f10(a2)),x25551)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976,1116])). % 5.77/5.60 cnf(2557,plain, % 5.77/5.60 (~P6(a2,x25571,f12(a2,f5(a2),x25571))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976,1116,1186])). % 5.77/5.60 cnf(2567,plain, % 5.77/5.60 (~P5(a1,f5(a1),f6(a1,a65))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976,1116,1186,1200,1235,1254,1256,1257])). % 5.77/5.60 cnf(2573,plain, % 5.77/5.60 (~P5(a2,f12(a2,f12(a2,f11(a2,x25731,x25732),x25732),f10(a2)),x25731)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976,1116,1186,1200,1235,1254,1256,1257,1300,1367,1380])). % 5.77/5.60 cnf(2577,plain, % 5.77/5.60 (P6(a2,x25771,f12(a2,f12(a2,f12(a2,x25771,f10(a2)),x25772),f10(a2)))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976,1116,1186,1200,1235,1254,1256,1257,1300,1367,1380,923,1579])). % 5.77/5.60 cnf(2581,plain, % 5.77/5.60 (~E(a72,f5(a4))), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976,1116,1186,1200,1235,1254,1256,1257,1300,1367,1380,923,1579,638,641])). % 5.77/5.60 cnf(2585,plain, % 5.77/5.60 (~E(f12(a1,f42(f42(f9(a1),f11(a1,x25851,x25852)),x25853),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x25852,x25851)),x25853),x25854),f10(a2))),x25854)), % 5.77/5.60 inference(scs_inference,[],[562,533,1834,2077,2283,2291,2296,2308,2313,2348,2420,2423,2431,2434,2480,2483,1836,1932,1963,1999,2002,2083,2288,2299,1862,1791,543,1926,2091,2098,2117,2120,2125,2132,2218,2224,2227,2245,2274,2277,2366,2381,2384,2393,2460,2463,2520,1847,1954,411,2138,2140,2437,2484,412,2129,2387,2390,2407,2416,2493,413,414,2143,2145,2332,538,1990,2036,2042,2085,2345,2375,2426,1860,442,1966,2018,453,2012,2015,2126,2378,2399,2466,2475,2512,454,2026,455,555,1929,1969,1972,1978,1981,1996,556,2445,424,2259,2417,2490,2511,2516,541,2280,2442,422,189,191,192,194,196,198,200,202,203,207,210,211,212,215,218,220,222,223,226,229,232,233,234,235,238,239,242,243,246,249,250,253,254,257,261,265,268,272,273,277,281,282,283,284,285,288,292,296,300,304,308,312,316,317,318,320,321,324,326,327,328,329,330,334,335,336,337,338,339,341,344,345,347,348,349,351,352,355,356,359,362,365,366,367,368,369,370,372,374,375,376,377,378,379,380,385,389,392,395,396,400,432,470,1957,2158,2169,2221,2362,2457,408,459,2323,2365,2374,2451,557,1984,1987,2039,494,2009,2324,2338,495,456,1960,2262,428,471,418,551,526,527,536,458,549,1944,1947,415,558,519,2398,561,778,783,784,790,973,974,1819,1877,2,17,22,797,807,808,813,868,880,918,928,935,938,977,1115,1129,1170,1172,1174,1176,1178,1184,1192,1193,1194,1197,1211,1284,1287,1288,1296,1299,1301,1305,1368,1373,1375,1462,1463,1464,1563,1564,1574,1881,1882,1910,1911,1914,877,1048,1066,1088,1089,1090,1091,1093,1356,1577,103,104,105,646,655,656,657,658,659,661,667,710,712,825,826,836,843,869,870,871,1126,1743,1893,3,102,106,107,108,109,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,139,141,142,145,146,147,148,149,150,151,152,153,154,156,157,158,159,160,161,162,165,166,167,168,169,170,171,172,173,174,175,177,178,179,180,181,182,183,184,185,186,187,188,640,660,662,663,665,730,795,796,855,856,860,879,888,926,927,937,940,942,983,1002,1009,1010,1011,1014,1031,1045,1059,1064,1065,1081,1082,1083,1085,1086,1087,1094,1099,1106,1108,1110,1112,1127,1131,1220,1223,1289,1297,1298,1311,1329,1336,1352,1353,1354,1355,1357,1358,1359,1361,1366,1371,1403,1428,1438,1455,1565,1586,1587,1730,1731,1732,1733,1740,1742,1764,1765,1766,1767,1768,1770,1774,1776,1778,1780,1784,889,946,948,954,1146,1149,1076,1271,899,1028,1249,1266,1360,1363,1384,1385,1386,1387,1388,1435,1436,1525,1526,1527,1278,1279,1611,1244,1844,683,686,769,11,13,21,757,848,849,850,907,912,913,936,976,1116,1186,1200,1235,1254,1256,1257,1300,1367,1380,923,1579,638,641,740,1741])). % 5.77/5.60 cnf(2619,plain, % 5.77/5.60 (E(f12(a2,f42(f42(f9(a2),f5(a2)),x26191),f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f12(a2,f5(a2),f5(a2)))),x26191),x26192)),x26192)), % 5.77/5.60 inference(scs_inference,[],[2553,2401,902,975])). % 5.77/5.60 cnf(2620,plain, % 5.77/5.60 (E(f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f12(a2,f5(a2),f5(a2)))),x26201),f12(a2,f42(f42(f9(a2),f5(a2)),x26201),x26202)),x26202)), % 5.77/5.60 inference(rename_variables,[],[2401])). % 5.77/5.60 cnf(2626,plain, % 5.77/5.60 (~P5(a2,f12(a2,f12(a2,f11(a2,x26261,x26262),x26262),f10(a2)),x26261)), % 5.77/5.60 inference(rename_variables,[],[2573])). % 5.77/5.60 cnf(2631,plain, % 5.77/5.60 (~P6(a2,x26311,f12(a2,f42(f42(f9(a2),f11(a2,x26312,x26312)),x26313),x26311))), % 5.77/5.60 inference(rename_variables,[],[2425])). % 5.77/5.60 cnf(2634,plain, % 5.77/5.60 (P5(a2,x26341,f42(f42(f23(x26342,f12(a2,x26341,x26343),x26344),x26345),f5(a2)))), % 5.77/5.60 inference(rename_variables,[],[1956])). % 5.77/5.60 cnf(2637,plain, % 5.77/5.60 (~P5(a2,f12(a2,x26371,f42(f42(f22(a2),x26372),f5(a2))),x26371)), % 5.77/5.60 inference(rename_variables,[],[2504])). % 5.77/5.60 cnf(2640,plain, % 5.77/5.60 (P5(a2,x26401,f42(f42(f23(x26402,f12(a2,x26401,x26403),x26404),x26405),f5(a2)))), % 5.77/5.60 inference(rename_variables,[],[1956])). % 5.77/5.60 cnf(2643,plain, % 5.77/5.60 (~P6(a2,x26431,f12(a2,f42(f42(f9(a2),f11(a2,x26432,x26432)),x26433),x26431))), % 5.77/5.60 inference(rename_variables,[],[2425])). % 5.77/5.60 cnf(2649,plain, % 5.77/5.60 (~P5(a2,f12(a2,f42(f42(f22(a2),x26491),f5(a2)),x26492),x26492)), % 5.77/5.60 inference(rename_variables,[],[2507])). % 5.77/5.60 cnf(2656,plain, % 5.77/5.60 (~P6(a2,f12(a2,f11(a2,x26561,x26562),x26562),x26561)), % 5.77/5.60 inference(rename_variables,[],[2035])). % 5.77/5.60 cnf(2663,plain, % 5.77/5.60 (P6(a2,x26631,f12(a2,f12(a2,f12(a2,x26632,x26631),f10(a2)),x26633))), % 5.77/5.60 inference(rename_variables,[],[2079])). % 5.77/5.60 cnf(2670,plain, % 5.77/5.60 (~P6(a3,f12(a3,x26701,f10(a3)),x26701)), % 5.77/5.60 inference(rename_variables,[],[1998])). % 5.77/5.60 cnf(2672,plain, % 5.77/5.60 (P5(a1,x26721,f12(a1,a65,x26721))), % 5.77/5.60 inference(scs_inference,[],[2079,2518,2514,2293,2553,2056,2401,1956,2634,2344,2425,2631,2643,2504,2507,2035,2411,1998,2573,2486,2567,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848])). % 5.77/5.60 cnf(2681,plain, % 5.77/5.60 (~E(f12(a1,f42(f42(f9(a1),f11(a1,x26811,x26812)),x26813),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x26812,x26811)),x26813),x26814),f10(a2))),x26814)), % 5.77/5.60 inference(rename_variables,[],[2585])). % 5.77/5.60 cnf(2693,plain, % 5.77/5.60 (~P6(a3,f12(a3,x26931,f10(a3)),x26931)), % 5.77/5.60 inference(rename_variables,[],[1998])). % 5.77/5.60 cnf(2696,plain, % 5.77/5.60 (~P6(a2,x26961,f11(a2,x26961,x26962))), % 5.77/5.60 inference(rename_variables,[],[1989])). % 5.77/5.60 cnf(2699,plain, % 5.77/5.60 (~P6(a2,f12(a2,f42(f42(f9(a2),f11(a2,x26991,x26991)),x26992),f12(a2,f12(a2,f42(f42(f9(a2),x26991),x26992),x26993),x26994)),x26993)), % 5.77/5.60 inference(rename_variables,[],[2428])). % 5.77/5.60 cnf(2703,plain, % 5.77/5.60 (E(f12(a3,f5(a3),x27031),x27031)), % 5.77/5.60 inference(rename_variables,[],[429])). % 5.77/5.60 cnf(2706,plain, % 5.77/5.60 (P6(a2,x27061,f12(a2,f12(a2,f12(a2,x27061,f10(a2)),x27062),f10(a2)))), % 5.77/5.60 inference(rename_variables,[],[2577])). % 5.77/5.60 cnf(2711,plain, % 5.77/5.60 (~P5(a2,f12(a2,x27111,f42(f42(f22(a2),x27112),f5(a2))),x27111)), % 5.77/5.60 inference(rename_variables,[],[2504])). % 5.77/5.60 cnf(2715,plain, % 5.77/5.60 (P6(a3,f11(a3,f12(a3,f11(a3,x27151,f10(a3)),f10(a3)),f10(a3)),x27151)), % 5.77/5.60 inference(scs_inference,[],[2079,2663,2577,2441,2160,2159,2585,2518,2535,2514,429,419,2293,2553,2056,2401,1956,2634,2344,1989,2425,2631,2643,2504,2637,2507,2035,2411,2428,1998,2670,2020,2573,2023,2486,2567,457,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299])). % 5.77/5.60 cnf(2716,plain, % 5.77/5.60 (P5(a3,f11(a3,f12(a3,x27161,f10(a3)),f10(a3)),x27161)), % 5.77/5.60 inference(rename_variables,[],[2023])). % 5.77/5.60 cnf(2725,plain, % 5.77/5.60 (P6(a2,x27251,f12(a2,f12(a2,f12(a2,x27252,x27251),f10(a2)),x27253))), % 5.77/5.60 inference(rename_variables,[],[2079])). % 5.77/5.60 cnf(2727,plain, % 5.77/5.60 (P5(a3,f11(a3,f12(a3,f11(a3,f12(a3,x27271,f10(a3)),f10(a3)),f10(a3)),f10(a3)),x27271)), % 5.77/5.60 inference(scs_inference,[],[2079,2663,2577,2441,2160,2159,2585,2518,2535,2514,429,419,2293,2553,2056,2401,1956,2634,2344,1989,2425,2631,2643,2504,2637,2507,2035,2411,2428,2038,1998,2670,2020,2573,2023,2486,2567,457,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301])). % 5.77/5.60 cnf(2729,plain, % 5.77/5.60 (E(f6(a1,f12(a2,f6(a1,f11(a2,f10(a2),f10(a2))),f10(a2))),f12(a2,f11(a2,f6(a1,f12(a2,f6(a1,f11(a2,f10(a2),f10(a2))),f10(a2))),f10(a2)),f10(a2)))), % 5.77/5.60 inference(scs_inference,[],[2079,2663,2577,2441,2160,2159,2585,2518,2535,2514,429,419,2293,2553,2056,2401,2377,1956,2634,2344,1989,2425,2631,2643,2504,2637,2507,2035,2411,2428,2038,1998,2670,2020,2573,2023,2486,2567,457,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877])). % 5.77/5.60 cnf(2732,plain, % 5.77/5.60 (P5(a2,x27321,f42(f42(f23(x27322,f12(a2,x27321,x27323),x27324),x27325),f5(a2)))), % 5.77/5.60 inference(rename_variables,[],[1956])). % 5.77/5.60 cnf(2735,plain, % 5.77/5.60 (~P5(a2,f12(a2,x27351,f42(f42(f22(a2),x27352),f5(a2))),x27351)), % 5.77/5.60 inference(rename_variables,[],[2504])). % 5.77/5.60 cnf(2737,plain, % 5.77/5.60 (~P6(a2,x27371,f11(a2,f11(a2,x27372,x27372),x27373))), % 5.77/5.60 inference(scs_inference,[],[2079,2663,2577,2441,2160,2159,2585,2518,2535,2514,429,419,2293,2553,2056,2401,2377,1956,2634,2640,2344,1941,1989,2425,2631,2643,2504,2637,2711,2507,2035,2411,2428,2038,1998,2670,2020,2573,2023,2486,2567,457,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464])). % 5.77/5.60 cnf(2738,plain, % 5.77/5.60 (~P6(a2,x27381,f11(a2,x27382,x27382))), % 5.77/5.60 inference(rename_variables,[],[1941])). % 5.77/5.60 cnf(2741,plain, % 5.77/5.60 (~P6(a2,x27411,f12(a2,f42(f42(f9(a2),f11(a2,x27412,x27412)),x27413),x27411))), % 5.77/5.60 inference(rename_variables,[],[2425])). % 5.77/5.60 cnf(2748,plain, % 5.77/5.60 (~E(f12(a1,f42(f42(f9(a1),f11(a1,x27481,x27482)),x27483),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x27482,x27481)),x27483),x27484),f10(a2))),x27484)), % 5.77/5.60 inference(rename_variables,[],[2585])). % 5.77/5.60 cnf(2758,plain, % 5.77/5.60 (~P6(a2,f12(a2,f11(a2,x27581,x27582),x27582),x27581)), % 5.77/5.60 inference(rename_variables,[],[2035])). % 5.77/5.60 cnf(2761,plain, % 5.77/5.60 (E(f12(a3,f5(a3),x27611),x27611)), % 5.77/5.60 inference(rename_variables,[],[429])). % 5.77/5.60 cnf(2764,plain, % 5.77/5.60 (E(f12(a3,f5(a3),x27641),x27641)), % 5.77/5.60 inference(rename_variables,[],[429])). % 5.77/5.60 cnf(2767,plain, % 5.77/5.60 (P6(a2,x27671,f12(a2,f12(a2,f12(a2,x27672,x27671),f10(a2)),x27673))), % 5.77/5.60 inference(rename_variables,[],[2079])). % 5.77/5.60 cnf(2770,plain, % 5.77/5.60 (~P6(a1,x27701,f12(a1,f42(f42(f9(a1),f11(a1,x27702,x27702)),x27703),x27701))), % 5.77/5.60 inference(rename_variables,[],[2430])). % 5.77/5.60 cnf(2777,plain, % 5.77/5.60 (P5(a2,x27771,f42(f42(f23(x27772,f12(a2,x27771,x27773),x27774),x27775),f5(a2)))), % 5.77/5.60 inference(rename_variables,[],[1956])). % 5.77/5.60 cnf(2780,plain, % 5.77/5.60 (~E(f6(a1,f12(a3,f6(a1,x27801),f10(a3))),x27801)), % 5.77/5.60 inference(rename_variables,[],[2102])). % 5.77/5.60 cnf(2782,plain, % 5.77/5.60 (E(x27821,f12(a2,f11(a2,x27821,x27821),x27821))), % 5.77/5.60 inference(rename_variables,[],[1936])). % 5.77/5.60 cnf(2784,plain, % 5.77/5.60 (~P5(a1,f12(a1,a65,x27841),x27841)), % 5.77/5.60 inference(rename_variables,[],[2486])). % 5.77/5.60 cnf(2789,plain, % 5.77/5.60 (P5(a2,x27891,f42(f42(f23(x27892,f12(a2,x27891,x27893),x27894),x27895),f5(a2)))), % 5.77/5.60 inference(rename_variables,[],[1956])). % 5.77/5.60 cnf(2795,plain, % 5.77/5.60 (P8(a2,x27951,f42(f42(f9(a2),x27952),x27951))), % 5.77/5.60 inference(rename_variables,[],[2331])). % 5.77/5.60 cnf(2798,plain, % 5.77/5.60 (P6(a3,x27981,f12(a3,x27981,f10(a3)))), % 5.77/5.60 inference(rename_variables,[],[1862])). % 5.77/5.60 cnf(2799,plain, % 5.77/5.60 (~P5(a3,f12(a3,x27991,f10(a3)),x27991)), % 5.77/5.60 inference(rename_variables,[],[2001])). % 5.77/5.60 cnf(2803,plain, % 5.77/5.60 (~E(f12(a2,x28031,f12(a2,x28032,f10(a2))),x28032)), % 5.77/5.60 inference(rename_variables,[],[1928])). % 5.77/5.60 cnf(2808,plain, % 5.77/5.60 (P6(a3,x28081,f12(a3,x28081,f10(a3)))), % 5.77/5.60 inference(rename_variables,[],[1862])). % 5.77/5.60 cnf(2811,plain, % 5.77/5.60 (~P5(a3,f12(a3,x28111,f10(a3)),x28111)), % 5.77/5.60 inference(rename_variables,[],[2001])). % 5.77/5.60 cnf(2814,plain, % 5.77/5.60 (~P5(a3,f12(a3,x28141,f10(a3)),x28141)), % 5.77/5.60 inference(rename_variables,[],[2001])). % 5.77/5.60 cnf(2817,plain, % 5.77/5.60 (~P5(a2,f12(a2,x28171,f12(a2,x28172,f10(a2))),x28172)), % 5.77/5.60 inference(rename_variables,[],[1995])). % 5.77/5.60 cnf(2824,plain, % 5.77/5.60 (~P5(a3,f12(a3,f42(f42(f9(a3),f11(a3,x28241,x28242)),x28243),f12(a3,f12(a3,f42(f42(f9(a3),f11(a3,x28242,x28241)),x28243),x28244),f10(a3))),x28244)), % 5.77/5.60 inference(scs_inference,[],[2084,2079,2663,2725,2577,2439,2441,2160,2159,1936,1928,2585,2681,2518,2535,2102,2514,2144,1862,2798,429,2703,2761,419,434,2293,2553,2056,2401,2620,2377,2364,2331,2315,1956,2634,2640,2732,2777,2344,1941,1989,2425,2631,2643,2430,2504,2637,2711,2507,2035,2656,2411,2428,1995,2817,2038,2409,1998,2670,2693,2001,2799,2811,2020,2573,2023,2716,2486,2567,2539,371,381,457,432,212,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781])). % 5.77/5.60 cnf(2828,plain, % 5.77/5.60 (~P5(a3,f10(a3),f42(f42(f9(a3),f11(a3,x28281,x28281)),x28282))), % 5.77/5.60 inference(scs_inference,[],[2084,2079,2663,2725,2577,2439,2441,2160,2159,1936,1928,2585,2681,2518,2535,2102,2514,2144,1862,2798,429,2703,2761,419,434,2293,2553,2056,2401,2620,2377,2364,2331,2315,1956,2634,2640,2732,2777,2344,1941,1989,2425,2631,2643,2430,2504,2637,2711,2507,2035,2656,2411,2428,1995,2817,2038,2409,1998,2670,2693,2001,2799,2811,2020,2573,2023,2716,2486,2567,2539,371,381,457,432,212,321,324,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406])). % 5.77/5.60 cnf(2830,plain, % 5.77/5.60 (~E(f11(a2,f12(a2,x28301,f10(a2)),f42(f42(f9(a2),f11(a2,f5(a2),f12(a2,f5(a2),f5(a2)))),x28302)),f5(a2))), % 5.77/5.60 inference(scs_inference,[],[2084,2079,2663,2725,2577,2439,2441,2160,2159,1936,1928,2585,2681,2518,2535,2102,2514,2144,1862,2798,429,2703,2761,419,434,2293,2553,2056,2401,2620,2377,2364,2331,2315,1956,2634,2640,2732,2777,2344,1941,1989,2425,2631,2643,2430,2504,2637,2711,2507,2035,2656,2411,2428,1995,2817,2038,2409,1998,2670,2693,2001,2799,2811,2020,2573,2023,2716,2486,2567,2539,371,381,457,432,212,321,324,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719])). % 5.77/5.60 cnf(2836,plain, % 5.77/5.60 (~P5(a2,f12(a2,f12(a2,f12(a2,x28361,x28362),f10(a2)),x28363),x28362)), % 5.77/5.60 inference(scs_inference,[],[2081,2084,2079,2663,2725,2767,2577,2439,2441,2160,2159,1936,1928,2585,2681,2518,2535,2102,2514,2144,1862,2798,429,2703,2761,419,434,2293,2553,2056,2401,2620,2377,2364,2331,2315,1956,2634,2640,2732,2777,2344,1941,2738,1989,2425,2631,2643,2430,2504,2637,2711,2507,2035,2656,2411,2428,1995,2817,2038,2409,1998,2670,2693,2001,2799,2811,2020,2573,2023,2716,2486,2567,2539,323,371,381,457,432,212,321,324,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510])). % 5.77/5.60 cnf(2837,plain, % 5.77/5.60 (~P6(a2,x28371,f11(a2,x28372,x28372))), % 5.77/5.60 inference(rename_variables,[],[1941])). % 5.77/5.60 cnf(2840,plain, % 5.77/5.60 (~P5(a2,f12(a2,x28401,f42(f42(f22(a2),x28402),f5(a2))),x28401)), % 5.77/5.60 inference(rename_variables,[],[2504])). % 5.77/5.60 cnf(2841,plain, % 5.77/5.60 (P5(a2,x28411,f42(f42(f23(x28412,f12(a2,x28411,x28413),x28414),x28415),f5(a2)))), % 5.77/5.60 inference(rename_variables,[],[1956])). % 5.77/5.61 cnf(2848,plain, % 5.77/5.61 (E(f12(a3,f5(a3),x28481),x28481)), % 5.77/5.61 inference(rename_variables,[],[429])). % 5.77/5.61 cnf(2863,plain, % 5.77/5.61 (~P6(a3,x28631,x28631)), % 5.77/5.61 inference(rename_variables,[],[1836])). % 5.77/5.61 cnf(2866,plain, % 5.77/5.61 (~P5(a2,f12(a2,x28661,f42(f42(f22(a2),x28662),f5(a2))),x28661)), % 5.77/5.61 inference(rename_variables,[],[2504])). % 5.77/5.61 cnf(2871,plain, % 5.77/5.61 (~E(f12(a2,x28711,f12(a2,f5(a2),f10(a2))),x28711)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(2877,plain, % 5.77/5.61 (~E(f11(a2,f12(a2,f12(a2,x28771,f11(a2,f10(a2),f10(a2))),f12(a2,f5(a2),f10(a2))),f11(a2,f10(a2),f10(a2))),x28771)), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2577,2439,2441,2175,2172,2160,2159,1925,2871,1936,1928,2585,2681,2518,2535,2102,2514,2144,1836,1862,2798,429,2703,2761,2764,419,434,379,2293,2267,2553,2056,2401,2620,2377,2364,2555,2331,2315,1956,2634,2640,2732,2777,2789,2344,1941,2738,1989,2425,2631,2643,2430,2504,2637,2711,2735,2840,2507,2035,2656,2411,2428,1995,2817,2038,2409,2337,1998,2670,2693,2001,2799,2811,2020,2573,2023,2716,2486,2567,2539,323,371,381,457,535,432,538,212,321,324,337,326,233,317,320,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126])). % 5.77/5.61 cnf(2878,plain, % 5.77/5.61 (~E(f12(a2,x28781,f12(a2,f5(a2),f10(a2))),x28781)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(2879,plain, % 5.77/5.61 (P5(a2,f11(a2,f10(a2),f10(a2)),x28791)), % 5.77/5.61 inference(rename_variables,[],[2555])). % 5.77/5.61 cnf(2884,plain, % 5.77/5.61 (~P6(a2,f12(a2,f11(a2,x28841,x28842),x28842),x28841)), % 5.77/5.61 inference(rename_variables,[],[2035])). % 5.77/5.61 cnf(2886,plain, % 5.77/5.61 (~P6(a1,f5(a1),f42(f42(f9(a1),f11(a1,x28861,x28861)),x28862))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2577,2439,2441,2175,2172,2160,2159,1925,2871,1936,1928,2585,2681,2518,2535,2102,2514,2144,1836,1862,2798,429,2703,2761,2764,419,434,379,2293,2267,2553,2056,2401,2620,2377,2364,2555,2331,2315,1956,2634,2640,2732,2777,2789,2344,1941,2738,1989,2425,2631,2643,2430,2504,2637,2711,2735,2840,2507,2035,2656,2758,2411,2428,1995,2817,2038,2409,2337,1998,2670,2693,2001,2799,2811,2020,2573,2023,2716,2486,2567,2539,323,371,381,457,535,432,538,212,321,324,337,326,334,233,317,320,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059])). % 5.77/5.61 cnf(2893,plain, % 5.77/5.61 (P6(a2,x28931,f12(a2,f12(a2,f12(a2,x28932,x28931),f10(a2)),x28933))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(2896,plain, % 5.77/5.61 (~P6(a2,f12(a2,x28961,f10(a2)),f11(a2,x28961,x28962))), % 5.77/5.61 inference(rename_variables,[],[2453])). % 5.77/5.61 cnf(2899,plain, % 5.77/5.61 (P6(a2,x28991,f12(a2,f12(a2,f12(a2,x28992,x28991),f10(a2)),x28993))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(2904,plain, % 5.77/5.61 (~E(f12(a2,x29041,f12(a2,f5(a2),f10(a2))),x29041)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(2910,plain, % 5.77/5.61 (~E(x29101,f12(a1,f42(f42(f9(a1),f11(a1,x29102,x29103)),x29104),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x29103,x29102)),x29104),x29101),f10(a2))))), % 5.77/5.61 inference(rename_variables,[],[2404])). % 5.77/5.61 cnf(2913,plain, % 5.77/5.61 (P6(a2,x29131,f12(a2,f12(a2,f12(a2,x29132,x29131),f10(a2)),x29133))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(2925,plain, % 5.77/5.61 (E(f12(a2,f42(f42(f9(a2),f11(a2,x29251,f11(a2,f10(a2),f10(a2)))),x29252),x29253),f12(a2,f42(f42(f9(a2),x29251),x29252),x29253))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2577,2453,2074,2439,2076,2441,2177,2175,2172,2160,2159,1925,2871,2878,1936,2782,1928,2585,2681,2112,2518,2535,2102,2514,2144,1836,1862,2798,429,2703,2761,2764,419,434,379,2293,2267,2553,2054,2056,2401,2620,2404,2368,2377,2364,2555,2879,1883,2331,2315,1956,2634,2640,2732,2777,2789,2344,1941,2738,1989,2425,2631,2643,2430,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2411,2428,1995,2817,2038,2409,2337,1998,2670,2693,2001,2799,2811,2020,2573,2023,2716,2486,2567,2539,323,371,381,457,535,432,538,212,321,324,329,337,347,326,334,339,233,317,320,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733])). % 5.77/5.61 cnf(2926,plain, % 5.77/5.61 (E(x29261,f12(a2,f42(f42(f9(a2),f11(a2,x29262,x29262)),x29263),x29261))), % 5.77/5.61 inference(rename_variables,[],[2054])). % 5.77/5.61 cnf(2931,plain, % 5.77/5.61 (~P6(a3,x29311,x29311)), % 5.77/5.61 inference(rename_variables,[],[1836])). % 5.77/5.61 cnf(2938,plain, % 5.77/5.61 (~E(f12(a1,f42(f42(f9(a1),f11(a1,x29381,x29382)),x29383),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x29382,x29381)),x29383),x29384),f10(a2))),x29384)), % 5.77/5.61 inference(rename_variables,[],[2585])). % 5.77/5.61 cnf(2941,plain, % 5.77/5.61 (~P6(a2,x29411,f12(a2,f42(f42(f9(a2),f11(a2,x29412,x29412)),x29413),x29411))), % 5.77/5.61 inference(rename_variables,[],[2425])). % 5.77/5.61 cnf(2944,plain, % 5.77/5.61 (E(x29441,f12(a2,f11(a2,x29441,x29441),x29441))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(2948,plain, % 5.77/5.61 (P5(a2,f11(a2,f10(a2),f10(a2)),x29481)), % 5.77/5.61 inference(rename_variables,[],[2555])). % 5.77/5.61 cnf(2954,plain, % 5.77/5.61 (~P6(a2,x29541,f12(a2,f42(f42(f9(a2),f11(a2,x29542,x29542)),x29543),x29541))), % 5.77/5.61 inference(rename_variables,[],[2425])). % 5.77/5.61 cnf(2955,plain, % 5.77/5.61 (P5(a2,f11(a2,f10(a2),f10(a2)),x29551)), % 5.77/5.61 inference(rename_variables,[],[2555])). % 5.77/5.61 cnf(2958,plain, % 5.77/5.61 (P6(a2,x29581,f12(a2,f12(a2,f12(a2,x29582,x29581),f10(a2)),x29583))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(2959,plain, % 5.77/5.61 (P6(a2,x29591,f12(a2,f12(a2,f12(a2,x29591,f10(a2)),x29592),f10(a2)))), % 5.77/5.61 inference(rename_variables,[],[2577])). % 5.77/5.61 cnf(2962,plain, % 5.77/5.61 (~E(f12(a2,x29621,f12(a2,f5(a2),f10(a2))),x29621)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(2969,plain, % 5.77/5.61 (~P6(a2,f12(a2,f12(a2,f12(a2,x29691,x29692),f10(a2)),x29693),x29692)), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,2577,2706,2453,2082,2074,2439,2076,2441,2177,2175,2172,2160,2159,1925,2871,2878,2904,1936,2782,1928,2585,2681,2748,1931,2112,2518,2535,2102,2514,2183,2144,1836,2863,1862,2798,429,2703,2761,2764,419,434,379,378,2293,2267,2553,2054,2926,2056,2401,2620,2404,2368,2383,2377,2364,2555,2879,2948,1883,2331,2315,1956,2634,2640,2732,2777,2789,2344,1941,2738,1989,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2411,2428,1995,2817,2038,2409,2337,1998,2670,2693,2001,2799,2811,2020,2573,2626,2023,2716,2486,2567,2539,323,371,381,457,535,432,538,212,321,324,329,330,337,347,349,375,326,334,339,233,317,320,200,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011])). % 5.77/5.61 cnf(2972,plain, % 5.77/5.61 (~E(f12(a2,x29721,f12(a2,x29722,f10(a2))),x29722)), % 5.77/5.61 inference(rename_variables,[],[1928])). % 5.77/5.61 cnf(2979,plain, % 5.77/5.61 (~P6(a2,x29791,f11(a2,x29792,x29792))), % 5.77/5.61 inference(rename_variables,[],[1941])). % 5.77/5.61 cnf(2980,plain, % 5.77/5.61 (P5(a2,f11(a2,f10(a2),f10(a2)),x29801)), % 5.77/5.61 inference(rename_variables,[],[2555])). % 5.77/5.61 cnf(2984,plain, % 5.77/5.61 (~P6(a2,x29841,f11(a2,x29842,x29842))), % 5.77/5.61 inference(rename_variables,[],[1941])). % 5.77/5.61 cnf(2987,plain, % 5.77/5.61 (~E(f12(a2,x29871,f12(a2,f5(a2),f10(a2))),x29871)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(2990,plain, % 5.77/5.61 (~E(f12(a2,x29901,f12(a2,f5(a2),f10(a2))),x29901)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(2995,plain, % 5.77/5.61 (~E(f12(a2,x29951,f12(a2,x29952,f10(a2))),x29952)), % 5.77/5.61 inference(rename_variables,[],[1928])). % 5.77/5.61 cnf(2998,plain, % 5.77/5.61 (~E(f12(a2,x29981,f12(a2,f5(a2),f10(a2))),x29981)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3003,plain, % 5.77/5.61 (P6(a2,x30031,f12(a2,x30032,f12(a2,f12(a2,x30031,f10(a2)),x30033)))), % 5.77/5.61 inference(rename_variables,[],[2048])). % 5.77/5.61 cnf(3011,plain, % 5.77/5.61 (P8(a2,x30111,f42(f42(f9(a2),x30112),x30111))), % 5.77/5.61 inference(rename_variables,[],[2331])). % 5.77/5.61 cnf(3018,plain, % 5.77/5.61 (~P5(a1,f5(a1),f14(a1,f6(a1,a65)))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,2577,2706,2453,2082,2074,2439,2076,2441,2177,2175,2172,2160,2159,1925,2871,2878,2904,2962,2987,2990,1936,2782,1928,2803,2972,2585,2681,2748,1931,2112,2518,2535,2102,1938,2459,2514,2183,2150,2148,2144,1836,2863,1862,2798,429,2703,2761,2764,419,434,379,368,378,2293,2267,2553,2054,2926,2056,2401,2620,2404,2368,2285,2383,2377,2364,2555,2879,2948,2955,1883,2331,2795,2315,1956,2634,2640,2732,2777,2789,2052,2344,1941,2738,2837,2979,1989,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2048,2411,2428,1995,2817,2038,2409,2337,2215,1998,2670,2693,2001,2799,2811,2020,2573,2626,2023,2716,2486,2784,2413,2567,2539,323,371,381,457,460,535,432,538,212,321,324,329,330,337,345,347,349,375,273,326,334,339,233,317,320,200,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092])). % 5.77/5.61 cnf(3023,plain, % 5.77/5.61 (~E(f12(a2,x30231,f12(a2,f5(a2),f10(a2))),x30231)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3031,plain, % 5.77/5.61 (~E(f12(a2,x30311,f12(a2,f5(a2),f10(a2))),x30311)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3034,plain, % 5.77/5.61 (~E(x30341,f12(a3,x30341,f10(a3)))), % 5.77/5.61 inference(rename_variables,[],[1923])). % 5.77/5.61 cnf(3037,plain, % 5.77/5.61 (P5(a2,x30371,f12(a2,x30372,f12(a2,x30373,x30371)))), % 5.77/5.61 inference(rename_variables,[],[2011])). % 5.77/5.61 cnf(3043,plain, % 5.77/5.61 (P5(a2,f12(a2,f42(f42(f9(a2),f11(a2,f5(a2),f5(a2))),x30431),x30432),x30432)), % 5.77/5.61 inference(rename_variables,[],[2415])). % 5.77/5.61 cnf(3044,plain, % 5.77/5.61 (P5(a2,f11(a2,f10(a2),f10(a2)),x30441)), % 5.77/5.61 inference(rename_variables,[],[2555])). % 5.77/5.61 cnf(3047,plain, % 5.77/5.61 (E(x30471,f12(a2,f11(a2,x30471,x30471),x30471))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3049,plain, % 5.77/5.61 (E(x30491,f12(a2,f11(a2,x30491,x30491),x30491))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3051,plain, % 5.77/5.61 (E(x30511,f12(a2,f11(a2,x30511,x30511),x30511))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3053,plain, % 5.77/5.61 (~P6(a3,x30531,x30531)), % 5.77/5.61 inference(rename_variables,[],[1836])). % 5.77/5.61 cnf(3056,plain, % 5.77/5.61 (~E(f6(a1,f12(a3,f6(a1,x30561),f10(a3))),x30561)), % 5.77/5.61 inference(rename_variables,[],[2102])). % 5.77/5.61 cnf(3064,plain, % 5.77/5.61 (E(x30641,f12(a2,f11(a2,x30641,x30641),x30641))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3066,plain, % 5.77/5.61 (~E(x30661,f12(a3,x30661,f10(a3)))), % 5.77/5.61 inference(rename_variables,[],[1923])). % 5.77/5.61 cnf(3069,plain, % 5.77/5.61 (E(x30691,f12(a2,f11(a2,x30691,x30691),x30691))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3071,plain, % 5.77/5.61 (E(x30711,f12(a2,f11(a2,x30711,x30711),x30711))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3073,plain, % 5.77/5.61 (E(x30731,f12(a2,f11(a2,x30731,x30731),x30731))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3075,plain, % 5.77/5.61 (E(x30751,f12(a2,f11(a2,x30751,x30751),x30751))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3077,plain, % 5.77/5.61 (E(x30771,f12(a2,f11(a2,x30771,x30771),x30771))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3079,plain, % 5.77/5.61 (E(x30791,f12(a2,f11(a2,x30791,x30791),x30791))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3081,plain, % 5.77/5.61 (E(x30811,f12(a2,f11(a2,x30811,x30811),x30811))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3083,plain, % 5.77/5.61 (E(x30831,f12(a2,f11(a2,x30831,x30831),x30831))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3085,plain, % 5.77/5.61 (E(x30851,f12(a2,f11(a2,x30851,x30851),x30851))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3087,plain, % 5.77/5.61 (E(x30871,f12(a2,f11(a2,x30871,x30871),x30871))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3089,plain, % 5.77/5.61 (E(x30891,f12(a2,f11(a2,x30891,x30891),x30891))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3093,plain, % 5.77/5.61 (~E(f12(a2,x30931,f12(a2,f5(a2),f10(a2))),x30931)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3096,plain, % 5.77/5.61 (E(x30961,f12(a2,f11(a2,x30961,x30961),x30961))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3098,plain, % 5.77/5.61 (E(x30981,f12(a2,f11(a2,x30981,x30981),x30981))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3100,plain, % 5.77/5.61 (P8(f63(a1),f24(a1,f13(a1,f5(a1)),x31001),f42(f42(f23(x31002,f5(f63(a1)),x31003),x31004),f5(a2)))), % 5.77/5.61 inference(rename_variables,[],[2456])). % 5.77/5.61 cnf(3102,plain, % 5.77/5.61 (E(x31021,f12(a2,f11(a2,x31021,x31021),x31021))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3107,plain, % 5.77/5.61 (~E(f12(a2,x31071,f12(a2,x31072,f10(a2))),x31072)), % 5.77/5.61 inference(rename_variables,[],[1928])). % 5.77/5.61 cnf(3110,plain, % 5.77/5.61 (E(x31101,f12(a2,f11(a2,x31101,x31101),x31101))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3112,plain, % 5.77/5.61 (E(x31121,f12(a2,f11(a2,x31121,x31121),x31121))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3116,plain, % 5.77/5.61 (~E(f12(a1,f42(f42(f9(a1),f11(a1,x31161,x31162)),x31163),f12(a2,f12(a1,f42(f42(f9(a1),f11(a1,x31162,x31161)),x31163),x31164),f10(a2))),x31164)), % 5.77/5.61 inference(rename_variables,[],[2585])). % 5.77/5.61 cnf(3119,plain, % 5.77/5.61 (E(x31191,f12(a2,f11(a2,x31191,x31191),x31191))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3124,plain, % 5.77/5.61 (~P6(a3,x31241,x31241)), % 5.77/5.61 inference(rename_variables,[],[1836])). % 5.77/5.61 cnf(3126,plain, % 5.77/5.61 (~P5(a1,f10(a1),f14(a1,f42(f42(f9(a1),f42(f42(f22(a1),f21(a4,a72)),f12(a2,a69,f10(a2)))),a65)))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,2577,2706,2453,2082,2074,2439,2076,2441,2207,2202,2201,2199,2189,2188,2187,2186,2178,2177,2176,2175,2174,2172,2167,2166,2165,2164,2162,2161,2160,2159,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,1931,2112,2518,2535,2102,2780,3056,1938,2459,2514,2456,1934,2185,2183,2150,2148,2144,1836,2863,2931,3053,1862,2798,429,2703,2761,2764,419,434,379,368,378,2293,2267,2553,2247,2054,2926,2056,2401,2620,2404,2368,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2315,1956,2634,2640,2732,2777,2789,2052,2344,1941,2738,2837,2979,1989,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2011,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2020,2573,2626,2023,2716,2486,2784,2413,2355,2567,2539,323,371,373,381,457,460,535,432,538,212,321,324,329,330,337,345,347,349,375,273,326,334,339,233,317,320,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090])). % 5.77/5.61 cnf(3129,plain, % 5.77/5.61 (E(x31291,f12(a2,f11(a2,x31291,x31291),x31291))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3135,plain, % 5.77/5.61 (E(x31351,f12(a2,f11(a2,x31351,x31351),x31351))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3144,plain, % 5.77/5.61 (~E(f12(a2,x31441,f12(a2,f5(a2),f10(a2))),x31441)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3147,plain, % 5.77/5.61 (E(x31471,f12(a2,f11(a2,x31471,x31471),x31471))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3151,plain, % 5.77/5.61 (E(x31511,f12(a2,f11(a2,x31511,x31511),x31511))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3153,plain, % 5.77/5.61 (~E(f12(a2,x31531,f12(a2,f5(a2),f10(a2))),x31531)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3155,plain, % 5.77/5.61 (P5(a2,f11(a2,x31551,x31552),f12(a2,x31551,f10(a2)))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,2577,2706,2453,2896,2082,2074,2439,2076,2441,2207,2205,2202,2201,2199,2189,2188,2187,2186,2178,2177,2176,2175,2174,2172,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,1931,2112,2518,2535,2102,2780,3056,1938,2459,2514,2456,1934,2185,2183,2150,2148,2144,1836,2863,2931,3053,1862,2798,429,2703,2761,2764,419,434,379,368,378,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2315,1956,2634,2640,2732,2777,2789,2052,2344,1941,2738,2837,2979,1989,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2011,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2020,2573,2626,2023,2716,2486,2784,2413,2355,2567,2539,323,371,373,381,457,460,535,432,538,212,321,324,189,329,330,337,345,347,349,375,273,326,334,339,233,317,320,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877])). % 5.77/5.61 cnf(3158,plain, % 5.77/5.61 (~E(f12(a2,x31581,f12(a2,f5(a2),f10(a2))),x31581)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3162,plain, % 5.77/5.61 (~P6(a2,x31621,f11(a2,x31622,x31622))), % 5.77/5.61 inference(rename_variables,[],[1941])). % 5.77/5.61 cnf(3167,plain, % 5.77/5.61 (~E(f12(a2,x31671,f12(a2,f5(a2),f10(a2))),x31671)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3170,plain, % 5.77/5.61 (P5(a2,x31701,f12(a2,x31702,f12(a2,x31703,x31701)))), % 5.77/5.61 inference(rename_variables,[],[2011])). % 5.77/5.61 cnf(3175,plain, % 5.77/5.61 (E(x31751,f12(a2,f11(a2,x31751,x31751),x31751))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3177,plain, % 5.77/5.61 (E(x31771,f12(a2,f11(a2,x31771,x31771),x31771))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3179,plain, % 5.77/5.61 (E(x31791,f12(a2,f11(a2,x31791,x31791),x31791))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3185,plain, % 5.77/5.61 (E(x31851,f12(a2,f11(a2,x31851,x31851),x31851))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3189,plain, % 5.77/5.61 (~P6(a3,x31891,x31891)), % 5.77/5.61 inference(rename_variables,[],[1836])). % 5.77/5.61 cnf(3192,plain, % 5.77/5.61 (~E(x31921,f12(a3,x31921,f10(a3)))), % 5.77/5.61 inference(rename_variables,[],[1923])). % 5.77/5.61 cnf(3195,plain, % 5.77/5.61 (E(x31951,f12(a2,f11(a2,x31951,x31951),x31951))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3197,plain, % 5.77/5.61 (E(x31971,f12(a2,f11(a2,x31971,x31971),x31971))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3199,plain, % 5.77/5.61 (~E(f12(a2,x31991,f12(a2,f5(a2),f10(a2))),x31991)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3207,plain, % 5.77/5.61 (E(f12(a3,f5(a3),x32071),x32071)), % 5.77/5.61 inference(rename_variables,[],[429])). % 5.77/5.61 cnf(3210,plain, % 5.77/5.61 (~E(x32101,f12(a3,x32101,f10(a3)))), % 5.77/5.61 inference(rename_variables,[],[1923])). % 5.77/5.61 cnf(3213,plain, % 5.77/5.61 (~E(f12(a2,x32131,f12(a2,f5(a2),f10(a2))),x32131)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3219,plain, % 5.77/5.61 (E(f12(a3,f5(a3),x32191),x32191)), % 5.77/5.61 inference(rename_variables,[],[429])). % 5.77/5.61 cnf(3222,plain, % 5.77/5.61 (E(x32221,f12(a2,f11(a2,x32221,x32221),x32221))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3225,plain, % 5.77/5.61 (P43(f12(a2,f11(a2,f12(a2,f11(a2,a3,a3),a3),f12(a2,f11(a2,a3,a3),a3)),f12(a2,f11(a2,a3,a3),a3)))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,2577,2706,2453,2896,2082,2074,2439,2076,2441,2210,2207,2205,2202,2201,2199,2189,2188,2187,2186,2184,2181,2178,2177,2176,2175,2174,2172,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,1931,2112,2518,2535,2102,2780,3056,1938,2459,2514,2456,1934,2185,2183,2180,2154,2150,2148,2146,2141,2144,1836,2863,2931,3053,3124,1862,2798,429,2703,2761,2764,2848,3207,419,434,379,366,368,378,2253,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2315,1956,2634,2640,2732,2777,2789,2052,2344,1941,2738,2837,2979,2984,1989,2696,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2011,3037,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2310,2355,2567,2539,323,371,373,381,457,460,535,432,538,212,321,324,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126])). % 5.77/5.61 cnf(3226,plain, % 5.77/5.61 (E(x32261,f12(a2,f11(a2,x32261,x32261),x32261))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3228,plain, % 5.77/5.61 (~E(f12(a2,x32281,f12(a2,f5(a2),f10(a2))),x32281)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3231,plain, % 5.77/5.61 (E(x32311,f12(a2,f11(a2,x32311,x32311),x32311))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3233,plain, % 5.77/5.61 (E(x32331,f12(a2,f11(a2,x32331,x32331),x32331))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3235,plain, % 5.77/5.61 (E(x32351,f12(a2,f11(a2,x32351,x32351),x32351))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3237,plain, % 5.77/5.61 (E(x32371,f12(a2,f11(a2,x32371,x32371),x32371))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3239,plain, % 5.77/5.61 (E(x32391,f12(a2,f11(a2,x32391,x32391),x32391))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3241,plain, % 5.77/5.61 (E(x32411,f12(a2,f11(a2,x32411,x32411),x32411))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3243,plain, % 5.77/5.61 (E(x32431,f12(a2,f11(a2,x32431,x32431),x32431))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3245,plain, % 5.77/5.61 (E(x32451,f12(a2,f11(a2,x32451,x32451),x32451))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3249,plain, % 5.77/5.61 (E(x32491,f12(a2,f11(a2,x32491,x32491),x32491))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3251,plain, % 5.77/5.61 (E(x32511,f12(a2,f11(a2,x32511,x32511),x32511))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3253,plain, % 5.77/5.61 (E(x32531,f12(a2,f11(a2,x32531,x32531),x32531))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3255,plain, % 5.77/5.61 (E(x32551,f12(a2,f11(a2,x32551,x32551),x32551))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3256,plain, % 5.77/5.61 (~E(f12(a2,f12(a2,f12(a2,x32561,f12(a2,x32562,f10(a2))),f10(a2)),x32563),f11(a2,x32562,x32564))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,2577,2706,2453,2896,2082,2074,2439,2076,2441,2212,2211,2210,2207,2205,2202,2201,2200,2199,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2172,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,1931,2112,2518,2535,2102,2780,3056,1938,2459,2514,2456,3100,1934,2185,2183,2180,2154,2150,2148,2146,2141,2144,1836,2863,2931,3053,3124,1862,2798,429,2703,2761,2764,2848,3207,419,434,379,366,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2315,1956,2634,2640,2732,2777,2789,2052,2344,1941,2738,2837,2979,2984,1989,2696,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2011,3037,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2310,2355,2567,2539,323,331,371,373,381,457,460,535,432,538,212,321,324,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105])). % 5.77/5.61 cnf(3257,plain, % 5.77/5.61 (P6(a2,x32571,f12(a2,f12(a2,f12(a2,x32572,x32571),f10(a2)),x32573))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(3259,plain, % 5.77/5.61 (~E(f12(a2,x32591,f12(a2,f5(a2),f10(a2))),x32591)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3261,plain, % 5.77/5.61 (E(x32611,f12(a2,f11(a2,x32611,x32611),x32611))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3262,plain, % 5.77/5.61 (~E(x32621,f12(a2,f11(a2,f12(a2,f12(a2,f12(a2,x32622,x32621),f10(a2)),x32623),x32624),x32624))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,2577,2706,2453,2896,2082,2074,2439,2076,2441,2212,2211,2210,2207,2205,2202,2201,2200,2199,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2172,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,1931,2112,2518,2535,2102,2780,3056,1938,2459,2514,2456,3100,1934,2185,2183,2180,2154,2150,2148,2146,2141,2144,1836,2863,2931,3053,3124,1862,2798,429,2703,2761,2764,2848,3207,419,434,379,366,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2315,1956,2634,2640,2732,2777,2789,2052,2344,1941,2738,2837,2979,2984,1989,2696,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2884,2011,3037,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2310,2355,2567,2539,323,331,371,373,381,457,460,535,432,538,212,321,324,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104])). % 5.77/5.61 cnf(3265,plain, % 5.77/5.61 (E(x32651,f12(a2,f11(a2,x32651,x32651),x32651))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3267,plain, % 5.77/5.61 (E(x32671,f12(a2,f11(a2,x32671,x32671),x32671))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3269,plain, % 5.77/5.61 (E(x32691,f12(a2,f11(a2,x32691,x32691),x32691))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3271,plain, % 5.77/5.61 (E(x32711,f12(a2,f11(a2,x32711,x32711),x32711))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3273,plain, % 5.77/5.61 (E(x32731,f12(a2,f11(a2,x32731,x32731),x32731))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3275,plain, % 5.77/5.61 (E(x32751,f12(a2,f11(a2,x32751,x32751),x32751))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3277,plain, % 5.77/5.61 (E(x32771,f12(a2,f11(a2,x32771,x32771),x32771))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3278,plain, % 5.77/5.61 (P38(f12(a2,f11(a2,f12(a2,f11(a2,a3,a3),a3),f12(a2,f11(a2,a3,a3),a3)),f12(a2,f11(a2,a3,a3),a3)))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,2577,2706,2453,2896,2082,2074,2439,2076,2441,2212,2211,2210,2207,2205,2202,2201,2200,2199,2195,2193,2191,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2172,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,1931,2112,2518,2535,2102,2780,3056,1938,2459,2514,2456,3100,1934,2185,2183,2180,2154,2152,2150,2148,2146,2141,2144,1836,2863,2931,3053,3124,1862,2798,429,2703,2761,2764,2848,3207,419,434,379,366,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2315,1956,2634,2640,2732,2777,2789,2052,2344,1941,2738,2837,2979,2984,1989,2696,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2884,2011,3037,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2310,2355,2567,2539,323,331,371,373,381,457,460,535,432,538,212,321,324,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125])). % 5.77/5.61 cnf(3279,plain, % 5.77/5.61 (E(x32791,f12(a2,f11(a2,x32791,x32791),x32791))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3281,plain, % 5.77/5.61 (E(x32811,f12(a2,f11(a2,x32811,x32811),x32811))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3283,plain, % 5.77/5.61 (E(x32831,f12(a2,f11(a2,x32831,x32831),x32831))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3285,plain, % 5.77/5.61 (E(x32851,f12(a2,f11(a2,x32851,x32851),x32851))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3287,plain, % 5.77/5.61 (E(x32871,f12(a2,f11(a2,x32871,x32871),x32871))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3289,plain, % 5.77/5.61 (E(x32891,f12(a2,f11(a2,x32891,x32891),x32891))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3291,plain, % 5.77/5.61 (E(x32911,f12(a2,f11(a2,x32911,x32911),x32911))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3293,plain, % 5.77/5.61 (E(x32931,f12(a2,f11(a2,x32931,x32931),x32931))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3295,plain, % 5.77/5.61 (E(x32951,f12(a2,f11(a2,x32951,x32951),x32951))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3297,plain, % 5.77/5.61 (E(x32971,f12(a2,f11(a2,x32971,x32971),x32971))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3299,plain, % 5.77/5.61 (E(x32991,f12(a2,f11(a2,x32991,x32991),x32991))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3301,plain, % 5.77/5.61 (E(x33011,f12(a2,f11(a2,x33011,x33011),x33011))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3303,plain, % 5.77/5.61 (E(x33031,f12(a2,f11(a2,x33031,x33031),x33031))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3305,plain, % 5.77/5.61 (E(x33051,f12(a2,f11(a2,x33051,x33051),x33051))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3307,plain, % 5.77/5.61 (E(x33071,f12(a2,f11(a2,x33071,x33071),x33071))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3309,plain, % 5.77/5.61 (E(x33091,f12(a2,f11(a2,x33091,x33091),x33091))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3311,plain, % 5.77/5.61 (E(x33111,f12(a2,f11(a2,x33111,x33111),x33111))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3313,plain, % 5.77/5.61 (E(x33131,f12(a2,f11(a2,x33131,x33131),x33131))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3315,plain, % 5.77/5.61 (E(x33151,f12(a2,f11(a2,x33151,x33151),x33151))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3317,plain, % 5.77/5.61 (E(x33171,f12(a2,f11(a2,x33171,x33171),x33171))), % 5.77/5.61 inference(rename_variables,[],[1936])). % 5.77/5.61 cnf(3318,plain, % 5.77/5.61 (P6(a2,x33181,f42(f42(f23(x33182,f12(a2,f12(a2,f12(a2,f12(a2,x33183,x33181),f10(a2)),x33184),x33185),x33186),x33187),f5(a2)))), % 5.77/5.61 inference(scs_inference,[],[2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,2577,2706,2453,2896,2082,2074,2439,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,1931,2112,2518,2135,2535,2102,2780,3056,1938,2459,2514,2456,3100,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2144,1836,2863,2931,3053,3124,1862,2798,429,2703,2761,2764,2848,3207,419,434,379,366,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2315,1956,2634,2640,2732,2777,2789,2841,2052,2344,1941,2738,2837,2979,2984,1989,2696,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2884,2011,3037,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2310,2355,2567,2539,323,331,371,373,381,457,460,535,432,538,212,321,324,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147])). % 5.77/5.61 cnf(3319,plain, % 5.77/5.61 (P5(a2,x33191,f42(f42(f23(x33192,f12(a2,x33191,x33193),x33194),x33195),f5(a2)))), % 5.77/5.61 inference(rename_variables,[],[1956])). % 5.77/5.61 cnf(3322,plain, % 5.77/5.61 (P6(a2,x33221,f12(a2,f12(a2,f12(a2,x33222,x33221),f10(a2)),x33223))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(3325,plain, % 5.77/5.61 (P6(a2,x33251,f12(a2,f12(a2,f12(a2,x33251,f10(a2)),x33252),f10(a2)))), % 5.77/5.61 inference(rename_variables,[],[2577])). % 5.77/5.61 cnf(3328,plain, % 5.77/5.61 (P5(a2,x33281,f42(f42(f23(x33282,f12(a2,x33281,x33283),x33284),x33285),f5(a2)))), % 5.77/5.61 inference(rename_variables,[],[1956])). % 5.77/5.61 cnf(3331,plain, % 5.77/5.61 (E(f11(a3,f12(a3,x33311,f10(a3)),f10(a3)),x33311)), % 5.77/5.61 inference(rename_variables,[],[2249])). % 5.77/5.61 cnf(3343,plain, % 5.77/5.61 (P6(f12(a2,f11(a2,a3,a3),a3),x33431,f12(a3,x33431,f10(a3)))), % 5.77/5.61 inference(rename_variables,[],[2081])). % 5.77/5.61 cnf(3345,plain, % 5.77/5.61 (~P8(a2,f12(a2,f12(a2,f12(a2,f12(a2,x33451,f5(a2)),f10(a2)),f42(f42(f9(a2),f5(a2)),x33452)),f42(f42(f22(a2),x33453),f5(a2))),f12(a2,f12(a2,x33451,f5(a2)),f10(a2)))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,1931,2112,2518,2135,2535,2102,2780,3056,1938,2459,2514,2456,3100,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2144,1836,2863,2931,3053,3124,1862,2798,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2249,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,2052,2344,1941,2738,2837,2979,2984,1989,2696,2415,2425,2631,2643,2741,2941,2430,2433,2328,2504,2637,2711,2735,2840,2866,2507,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2310,2355,2567,2539,323,331,333,371,373,381,457,460,535,432,538,212,321,324,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369])). % 5.77/5.61 cnf(3353,plain, % 5.77/5.61 (~P5(a2,f12(a2,f42(f42(f22(a2),x33531),f5(a2)),x33532),x33532)), % 5.77/5.61 inference(rename_variables,[],[2507])). % 5.77/5.61 cnf(3356,plain, % 5.77/5.61 (~E(f12(a2,x33561,f12(a2,f5(a2),f10(a2))),x33561)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3359,plain, % 5.77/5.61 (~E(f12(a2,x33591,f12(a2,f5(a2),f10(a2))),x33591)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3360,plain, % 5.77/5.61 (~P6(a2,x33601,f11(a2,x33602,x33602))), % 5.77/5.61 inference(rename_variables,[],[1941])). % 5.77/5.61 cnf(3366,plain, % 5.77/5.61 (P6(a2,x33661,f12(a2,f12(a2,f12(a2,x33662,f12(a2,f12(a2,f12(a2,x33661,f10(a2)),x33663),f10(a2))),f10(a2)),x33664))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,1931,2112,2518,2135,2535,2102,2780,3056,1938,2459,2514,2456,3100,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2144,1836,2863,2931,3053,3124,3189,1862,2798,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,2052,2344,1941,2738,2837,2979,2984,3162,1989,2696,2415,3043,2425,2631,2643,2741,2941,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2310,2355,2567,2539,323,325,331,333,371,373,381,457,514,460,535,432,538,212,321,324,336,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149])). % 5.77/5.61 cnf(3367,plain, % 5.77/5.61 (P6(a2,x33671,f12(a2,f12(a2,f12(a2,x33672,x33671),f10(a2)),x33673))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(3370,plain, % 5.77/5.61 (~P6(a1,x33701,x33701)), % 5.77/5.61 inference(rename_variables,[],[1834])). % 5.77/5.61 cnf(3376,plain, % 5.77/5.61 (~P5(a2,f12(a2,f42(f42(f22(a2),x33761),f5(a2)),x33762),x33762)), % 5.77/5.61 inference(rename_variables,[],[2507])). % 5.77/5.61 cnf(3377,plain, % 5.77/5.61 (P5(a2,x33771,f42(f42(f23(x33772,f12(a2,x33771,x33773),x33774),x33775),f5(a2)))), % 5.77/5.61 inference(rename_variables,[],[1956])). % 5.77/5.61 cnf(3380,plain, % 5.77/5.61 (P5(a2,f11(a2,f10(a2),f10(a2)),x33801)), % 5.77/5.61 inference(rename_variables,[],[2555])). % 5.77/5.61 cnf(3385,plain, % 5.77/5.61 (P6(a2,x33851,f12(a2,f12(a2,f12(a2,x33852,x33851),f10(a2)),x33853))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(3389,plain, % 5.77/5.61 (P5(a2,f11(a2,f10(a2),f10(a2)),x33891)), % 5.77/5.61 inference(rename_variables,[],[2555])). % 5.77/5.61 cnf(3390,plain, % 5.77/5.61 (P5(a2,x33901,f42(f42(f23(x33902,f12(a2,x33901,x33903),x33904),x33905),f5(a2)))), % 5.77/5.61 inference(rename_variables,[],[1956])). % 5.77/5.61 cnf(3399,plain, % 5.77/5.61 (P6(a2,x33991,f12(a2,f12(a2,f12(a2,x33992,x33991),f10(a2)),x33993))), % 5.77/5.61 inference(rename_variables,[],[2079])). % 5.77/5.61 cnf(3404,plain, % 5.77/5.61 (~P5(a2,f12(a3,f10(a3),f6(a3,f11(a2,x34041,x34041))),f11(a2,x34041,x34041))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2144,1834,1836,2863,2931,3053,3124,3189,1862,2798,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,2052,2344,1941,2738,2837,2979,2984,3162,3360,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2495,2310,2355,2567,2539,323,325,331,333,371,373,381,457,514,460,535,432,538,212,227,284,321,324,336,456,189,234,329,330,337,341,345,347,349,375,273,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946])). % 5.77/5.61 cnf(3406,plain, % 5.77/5.61 (~P6(a2,x34061,f11(a2,x34062,x34062))), % 5.77/5.61 inference(rename_variables,[],[1941])). % 5.77/5.61 cnf(3426,plain, % 5.77/5.61 (~E(f12(a2,x34261,f12(a2,f5(a2),f10(a2))),x34261)), % 5.77/5.61 inference(rename_variables,[],[1925])). % 5.77/5.61 cnf(3430,plain, % 5.77/5.61 (P5(a2,x34301,f42(f42(f23(x34302,f12(a2,x34301,x34303),x34304),x34305),f5(a2)))), % 5.77/5.61 inference(rename_variables,[],[1956])). % 5.77/5.61 cnf(3432,plain, % 5.77/5.61 (~E(f42(f42(f9(a3),f12(a2,f5(a3),f12(a2,f5(a2),f10(a2)))),f5(a1)),f42(f42(f9(a3),f12(a2,f5(a3),f12(a2,f5(a2),f10(a2)))),f10(a1)))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2144,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2495,2310,2355,443,2567,2539,323,325,331,333,371,373,381,457,514,460,535,432,413,538,212,227,284,321,324,336,352,456,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611])). % 5.77/5.61 cnf(3438,plain, % 5.77/5.61 (P5(a2,x34381,f12(a2,x34382,x34381))), % 5.77/5.61 inference(rename_variables,[],[453])). % 5.77/5.61 cnf(3442,plain, % 5.77/5.61 (P5(a2,f5(a2),x34421)), % 5.77/5.61 inference(rename_variables,[],[424])). % 5.77/5.61 cnf(3456,plain, % 5.77/5.61 (~P5(a3,f12(a3,f12(a3,f42(f42(f9(a3),f11(a3,x34561,x34561)),x34562),f12(a3,f42(f42(f9(a3),f11(a3,x34561,x34561)),x34562),x34563)),f10(a3)),x34563)), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,3399,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2522,2144,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,3430,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2495,2310,2355,443,2567,2539,228,323,325,331,333,371,373,381,457,514,460,535,451,432,413,538,453,3438,424,3442,212,227,284,321,324,336,352,456,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611,1278,1279,1677,1844,1244,921,1381])). % 5.77/5.61 cnf(3464,plain, % 5.77/5.61 (~P5(a2,f12(a2,f5(a2),f10(a2)),f12(a2,f5(a2),f11(a2,f10(a2),f10(a2))))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,3399,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2522,2144,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,3430,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2495,2310,2355,443,2567,2539,228,323,325,331,333,371,373,381,457,514,460,535,451,432,413,538,453,3438,424,3442,212,227,284,321,324,336,352,456,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611,1278,1279,1677,1844,1244,921,1381,969,690,1377,1465])). % 5.77/5.61 cnf(3474,plain, % 5.77/5.61 (E(f42(f42(f9(a2),f11(a2,f11(a2,x34741,x34741),f11(a2,f10(a2),f10(a2)))),x34742),f42(f42(f9(a2),f11(a2,x34741,x34741)),x34742))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,3399,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,1928,2803,2972,2995,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2522,2144,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,3430,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2495,2310,2355,443,2567,2539,228,323,325,331,333,371,373,381,457,514,460,535,451,432,413,538,453,3438,424,3442,212,227,284,321,324,336,352,456,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611,1278,1279,1677,1844,1244,921,1381,969,690,1377,1465,694,1202,1306,1374,976])). % 5.77/5.61 cnf(3510,plain, % 5.77/5.61 (~P5(a3,f12(a3,f12(a3,f10(a3),f10(a3)),x35101),x35101)), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,3399,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,1928,2803,2972,2995,3107,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2522,2144,2581,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,2808,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,3430,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2551,2495,2310,2355,443,2567,2539,197,228,323,325,331,333,371,373,381,457,514,460,535,451,432,413,538,453,3438,424,3442,212,220,227,284,321,324,336,352,456,471,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611,1278,1279,1677,1844,1244,921,1381,969,690,1377,1465,694,1202,1306,1374,976,1197,1256,1200,1375,1257,936,935,176,815,995,1032,1046,1113,1665,859,1236,1696,1511])). % 5.77/5.61 cnf(3513,plain, % 5.77/5.61 (E(f5(a1),f21(a4,a72))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,3399,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,1928,2803,2972,2995,3107,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2522,2144,2581,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,2808,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,3430,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2551,2495,2310,2355,443,2567,2539,197,228,323,325,331,333,371,373,381,437,457,514,460,535,451,432,413,538,453,3438,424,3442,212,220,227,284,321,324,336,352,456,471,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611,1278,1279,1677,1844,1244,921,1381,969,690,1377,1465,694,1202,1306,1374,976,1197,1256,1200,1375,1257,936,935,176,815,995,1032,1046,1113,1665,859,1236,1696,1511,923])). % 5.77/5.61 cnf(3520,plain, % 5.77/5.61 (E(f11(a2,f11(a2,x35201,x35201),f11(a2,f10(a2),f10(a2))),f5(a2))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,3399,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,1928,2803,2972,2995,3107,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2522,2144,2581,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,2808,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,3430,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2551,2495,2310,2355,443,2567,2539,197,228,245,323,325,331,333,371,373,381,437,457,514,460,535,451,432,413,538,453,3438,455,424,3442,212,220,227,284,321,324,336,352,456,471,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611,1278,1279,1677,1844,1244,921,1381,969,690,1377,1465,694,1202,1306,1374,976,1197,1256,1200,1375,1257,936,935,176,815,995,1032,1046,1113,1665,859,1236,1696,1511,923,1112,1438,846])). % 5.77/5.61 cnf(3525,plain, % 5.77/5.61 (~P6(a3,f5(a3),f11(a3,x35251,x35251))), % 5.77/5.61 inference(scs_inference,[],[533,2062,2081,3343,2084,2079,2663,2725,2767,2893,2899,2913,2958,3257,3322,3367,3385,3399,2577,2706,2959,3325,2453,2896,2082,2074,2439,2060,2076,2441,2214,2213,2212,2211,2210,2209,2208,2207,2206,2205,2204,2203,2202,2201,2200,2199,2198,2197,2196,2195,2194,2193,2191,2190,2189,2188,2187,2186,2184,2182,2181,2179,2178,2177,2176,2175,2174,2173,2172,2171,2170,2167,2166,2165,2164,2163,2162,2161,2160,2159,2156,2153,2151,2149,2147,2108,1925,2871,2878,2904,2962,2987,2990,2998,3023,3031,3093,3144,3153,3158,3167,3199,3213,3228,3259,3356,3359,3426,1936,2782,2944,3047,3049,3051,3064,3069,3071,3073,3075,3077,3079,3081,3083,3085,3087,3089,3096,3098,3102,3110,3112,3119,3129,3135,3147,3151,3175,3177,3179,3185,3195,3197,3222,3226,3231,3233,3235,3237,3239,3241,3243,3245,3249,3251,3253,3255,3261,3265,3267,3269,3271,3273,3275,3277,3279,3281,3283,3285,3287,3289,3291,3293,3295,3297,3299,3301,3303,3305,3307,3309,3311,3313,3315,3317,1928,2803,2972,2995,3107,2585,2681,2748,2938,3116,1923,3034,3066,3192,3210,1931,2112,2518,2135,2534,2535,2102,2780,3056,1938,2459,2514,2456,3100,2525,1934,2185,2183,2180,2155,2154,2152,2150,2148,2146,2141,2522,2144,2581,1834,3370,1836,2863,2931,3053,3124,3189,1862,2798,2808,429,2703,2761,2764,2848,3207,3219,419,434,377,379,366,367,368,378,2253,1951,1953,2293,2267,2553,2340,2247,2054,2926,2056,2401,2620,2404,2910,2368,2269,2249,3331,2285,2383,2377,2364,2555,2879,2948,2955,2980,3044,3380,3389,1883,2331,2795,3011,2334,2315,1956,2634,2640,2732,2777,2789,2841,3319,3328,3377,3390,3430,2052,2344,1941,2738,2837,2979,2984,3162,3360,3406,1989,2696,2415,3043,2425,2631,2643,2741,2941,2954,2430,2770,2433,2328,2504,2637,2711,2735,2840,2866,2507,2649,3353,3376,2035,2656,2758,2884,2011,3037,3170,2048,3003,2411,2428,2699,1995,2817,2038,2409,2337,2215,1959,1998,2670,2693,2001,2799,2811,2814,2020,2573,2626,2023,2716,2486,2784,2413,2551,2495,2310,2355,443,2567,2539,197,228,245,323,325,331,333,371,373,381,437,457,514,460,535,451,432,413,538,453,3438,455,424,3442,212,220,227,229,284,321,324,336,352,456,471,189,234,329,330,337,341,345,347,349,375,273,282,326,334,339,233,317,320,374,283,318,200,328,335,202,902,975,805,1378,850,1115,1305,1174,1288,1192,1564,1116,1170,868,1462,907,683,1284,1172,797,974,848,686,783,784,757,813,1300,928,778,1194,1178,1373,2,918,1574,1819,1176,21,1299,1211,1186,849,1881,1301,1877,1287,1463,1464,973,790,1380,22,1563,913,1193,977,938,1296,1882,1254,912,1367,1368,11,155,1084,1120,1121,1122,1123,1132,1165,1181,1221,1769,1771,1775,1777,1779,1781,1405,1406,719,1015,1408,1510,1512,1581,1404,662,712,1355,1091,730,856,1010,1780,1586,1407,1045,1428,1126,1108,1508,1059,1356,1086,1359,1352,1366,1336,869,1099,1741,1131,1088,1731,825,1297,1733,1893,1768,942,1403,740,1776,1289,1732,1082,1774,1220,656,661,795,1011,1742,879,640,926,1311,1455,1565,710,655,658,1358,1766,1087,826,993,1579,1089,1092,1354,663,1764,1064,836,667,1765,1587,1767,116,175,181,1106,641,1094,638,157,1127,103,127,145,159,130,131,172,148,158,114,128,1357,659,146,174,112,132,1784,1743,156,160,855,796,133,1298,1770,1090,129,1066,1067,179,1085,1740,1065,657,123,1231,153,888,877,646,858,1353,660,983,940,113,142,139,1014,1110,135,1329,1778,1730,184,109,843,1093,1081,107,937,871,665,1083,1361,121,1009,126,870,149,173,117,152,111,106,134,185,165,154,186,110,124,105,3,115,104,108,168,162,120,147,166,119,125,187,161,183,151,180,102,170,141,177,182,178,167,169,150,171,122,136,188,118,1147,1148,1150,1151,1038,1152,1153,1154,1185,1369,1322,1080,1528,899,948,1527,1149,1384,1420,1387,1028,1526,1360,1385,1363,1525,1146,946,1386,1436,889,1271,1435,954,1249,1388,1611,1278,1279,1677,1844,1244,921,1381,969,690,1377,1465,694,1202,1306,1374,976,1197,1256,1200,1375,1257,936,935,176,815,995,1032,1046,1113,1665,859,1236,1696,1511,923,1112,1438,846,1409,1419])). % 5.77/5.61 cnf(3548,plain, % 5.77/5.61 (P6(a3,f11(a3,f12(a3,f11(a3,x35481,f10(a3)),f10(a3)),f10(a3)),x35481)), % 5.77/5.61 inference(rename_variables,[],[2715])). % 5.77/5.61 cnf(3559,plain, % 5.77/5.61 (~P6(a2,f12(a2,x35591,f12(a2,x35592,x35593)),x35593)), % 5.77/5.61 inference(rename_variables,[],[1977])). % 5.77/5.61 cnf(3570,plain, % 5.77/5.61 (P5(a2,x35701,f12(a2,f12(a2,x35702,x35701),x35703))), % 5.77/5.61 inference(rename_variables,[],[2046])). % 5.77/5.61 cnf(3575,plain, % 5.77/5.61 (~P6(a2,f12(a2,x35751,f12(a2,x35752,x35753)),x35753)), % 5.77/5.61 inference(rename_variables,[],[1977])). % 5.77/5.61 cnf(3590,plain, % 5.77/5.61 (P5(a2,x35901,f12(a2,f12(a2,x35902,x35901),x35903))), % 5.77/5.61 inference(rename_variables,[],[2046])). % 5.77/5.61 cnf(3593,plain, % 5.77/5.61 (~P6(a2,f12(a2,x35931,f12(a2,x35932,x35933)),x35933)), % 5.77/5.61 inference(rename_variables,[],[1977])). % 5.77/5.61 cnf(3612,plain, % 5.77/5.61 (P6(a2,x36121,f12(a2,f12(a2,f12(a2,x36122,f12(a2,f12(a2,f12(a2,x36121,f10(a2)),x36123),f10(a2))),f10(a2)),x36124))), % 5.77/5.61 inference(rename_variables,[],[3366])). % 5.77/5.61 cnf(3618,plain, % 5.77/5.61 (~P5(a2,f12(a2,f12(a2,x36181,f10(a2)),x36182),x36181)), % 5.77/5.61 inference(rename_variables,[],[2028])). % 5.77/5.61 cnf(3627,plain, % 5.77/5.61 (~P6(a3,f11(a3,f12(a3,x36271,f10(a3)),f10(a3)),x36271)), % 5.77/5.61 inference(rename_variables,[],[2033])). % 5.77/5.61 cnf(3630,plain, % 5.77/5.61 (P5(a2,x36301,f12(a2,f12(a2,x36302,x36301),x36303))), % 5.77/5.61 inference(rename_variables,[],[2046])). % 5.77/5.61 cnf(3633,plain, % 5.77/5.61 (~P6(a2,f12(a2,x36331,f12(a2,x36332,x36333)),x36333)), % 5.77/5.61 inference(rename_variables,[],[1977])). % 5.77/5.61 cnf(3638,plain, % 5.77/5.61 (~P6(a2,f12(a2,x36381,f12(a2,x36382,x36383)),x36383)), % 5.77/5.61 inference(rename_variables,[],[1977])). % 5.77/5.61 cnf(3646,plain, % 5.77/5.61 (~P6(a3,f11(a3,f12(a3,x36461,f10(a3)),f10(a3)),x36461)), % 5.77/5.61 inference(rename_variables,[],[2033])). % 5.77/5.61 cnf(3649,plain, % 5.77/5.61 (~P6(a2,f12(a2,x36491,f12(a2,x36492,x36493)),x36493)), % 5.77/5.61 inference(rename_variables,[],[1977])). % 5.77/5.61 cnf(3661,plain, % 5.77/5.61 (P6(a2,x36611,f12(a2,f12(a2,f12(a2,x36611,x36612),f10(a2)),f10(a2)))), % 5.77/5.61 inference(rename_variables,[],[2450])). % 5.77/5.61 cnf(3675,plain, % 5.77/5.61 (P6(a2,x36751,f12(a2,f12(a2,f12(a2,x36752,f12(a2,f12(a2,f12(a2,x36751,f10(a2)),x36753),f10(a2))),f10(a2)),x36754))), % 5.77/5.61 inference(rename_variables,[],[3366])). % 5.77/5.61 cnf(3708,plain, % 5.77/5.61 (~P6(a2,f12(a2,x37081,f12(a2,x37082,x37083)),x37083)), % 5.77/5.61 inference(rename_variables,[],[1977])). % 5.77/5.61 cnf(3713,plain, % 5.77/5.61 (E(f42(f42(f9(a2),f10(a2)),x37131),x37131)), % 5.77/5.61 inference(rename_variables,[],[416])). % 5.77/5.61 cnf(3737,plain, % 5.77/5.61 ($false), % 5.77/5.61 inference(scs_inference,[],[3262,3256,3513,3318,3366,3612,3675,2450,3661,3404,3155,3126,2530,2114,2536,2128,2522,3278,3225,2877,2729,3432,3520,2581,416,3713,1977,3559,3575,3593,3633,3638,3649,3708,2006,2315,2303,2557,2033,3627,3646,2046,3570,3590,3630,2028,3618,2038,3474,2619,2925,3018,2830,3464,3510,2737,2836,2969,2824,3456,2715,3548,2727,3345,2672,2828,2886,3525,197,945,1345,1292,1097,804,921,1115,1374,850,1378,1288,848,1172,1377,902,757,690,1174,1305,1170,683,928,778,694,1202,976,1299,1574,1381,1463,13,1211,1877,974,1287,973,1116,1462,1200,1176,1193,1192,1465,1368,783,907,1881,868,797,1178,1380,936,1300,1284,1194,912,686,935,849,1197,784,813,1819,1367,22,1563,977,1373,918,1301,1464,1296,1882,21,790,2,913,938,11,653]), % 5.77/5.61 ['proof']). % 5.77/5.61 % SZS output end Proof % 5.77/5.61 % Total time :4.390000s %------------------------------------------------------------------------------