0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.13/0.34 % Computer : n004.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Thu Jul 2 08:19:58 EDT 2020 0.13/0.34 % CPUTime : 0.21/0.45 openjdk version "1.8.0_171" 0.21/0.45 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.21/0.45 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.21/0.46 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.68/0.70 start to proof:theBenchmark 5.11/5.19 %------------------------------------------- 5.11/5.19 % File :CSE---1.3 5.11/5.19 % Problem :theBenchmark 5.11/5.19 % Transform :cnf 5.11/5.19 % Format :tptp:raw 5.11/5.19 % Command :java -jar mcs_scs.jar %d %s 5.11/5.19 5.11/5.19 % Result :Theorem 3.770000s 5.11/5.19 % Output :CNFRefutation 3.770000s 5.11/5.19 %------------------------------------------- 5.11/5.19 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring,axiom,( 5.11/5.19 class_Rings_Ocomm__ring(tc_Complex_Ocomplex) )). 5.11/5.19 5.11/5.19 fof(arity_Complex__Ocomplex__Rings_Omult__zero,axiom,( 5.11/5.19 class_Rings_Omult__zero(tc_Complex_Ocomplex) )). 5.11/5.19 5.11/5.19 fof(arity_Polynomial__Opoly__Rings_Oidom,axiom,( 5.11/5.19 ! [T_1] : 5.11/5.19 ( class_Rings_Oidom(tc_Polynomial_Opoly(T_1)) 5.11/5.19 <= class_Rings_Oidom(T_1) ) )). 5.11/5.19 5.11/5.19 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__mult,axiom,( 5.11/5.19 class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) )). 5.11/5.19 5.11/5.19 fof(fact_add__mult__distrib2,axiom,( 5.11/5.19 ! [V_n,V_m,V_k] : 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) )). 5.11/5.19 5.11/5.19 fof(fact_order__antisym__conv,axiom,( 5.11/5.19 ! [V_x_2,V_y_2,T_a] : 5.11/5.19 ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) 5.11/5.19 <=> V_x_2 = V_y_2 ) 5.11/5.19 <= c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) 5.11/5.19 <= class_Orderings_Oorder(T_a) ) )). 5.11/5.19 5.11/5.19 fof(fact_power__Suc__0,axiom,( 5.11/5.19 ! [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)) )). 5.11/5.19 5.11/5.19 fof(fact_order__root,axiom,( 5.11/5.19 ! [V_a_2,V_pa_2,T_a] : 5.11/5.19 ( class_Rings_Oidom(T_a) 5.11/5.20 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Polynomial_Opoly(T_a,V_pa_2),V_a_2) 5.11/5.20 <=> ( c_Polynomial_Oorder(T_a,V_a_2,V_pa_2) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.11/5.20 | c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) = V_pa_2 ) ) ) )). 5.11/5.20 5.11/5.20 fof(fact_zadd__0,axiom,( 5.11/5.20 ! [V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) = V_z )). 5.11/5.20 5.11/5.20 fof(fact_real__add__eq__0__iff,axiom,( 5.11/5.20 ! [V_y_2,V_x_2] : 5.11/5.20 ( c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2) = V_y_2 5.11/5.20 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,V_y_2) ) )). 5.11/5.20 5.11/5.20 fof(fact_power__strict__increasing__iff,axiom,( 5.11/5.20 ! [V_y_2,V_x_2,V_b_2,T_a] : 5.11/5.20 ( ( ( 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)) 5.11/5.20 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x_2,V_y_2) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) ) 5.11/5.20 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_le__iff__diff__le__0,axiom,( 5.11/5.20 ! [V_b_2,V_a_2,T_a] : 5.11/5.20 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) 5.11/5.20 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) 5.11/5.20 <= class_Groups_Oordered__ab__group__add(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_order__le__neq__trans,axiom,( 5.11/5.20 ! [V_b,V_a,T_a] : 5.11/5.20 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.11/5.20 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.11/5.20 <= V_a != V_b ) ) 5.11/5.20 <= class_Orderings_Oorder(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_poly__add,axiom,( 5.11/5.20 ! [V_x,V_q,V_p,T_a] : 5.11/5.20 ( class_Rings_Ocomm__semiring__0(T_a) 5.11/5.20 => 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)) = hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_x) ) )). 5.11/5.20 5.11/5.20 fof(fact_right__minus,axiom,( 5.11/5.20 ! [V_a,T_a] : 5.11/5.20 ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) 5.11/5.20 <= class_Groups_Ogroup__add(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_lessI,axiom,( 5.11/5.20 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_n)) )). 5.11/5.20 5.11/5.20 fof(fact_mult__right_Ominus,axiom,( 5.11/5.20 ! [V_x,V_xa,T_a] : 5.11/5.20 ( c_Groups_Ouminus__class_Ouminus(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),c_Groups_Ouminus__class_Ouminus(T_a,V_x)) 5.11/5.20 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_diff__Suc__less,axiom,( 5.11/5.20 ! [V_i,V_n] : 5.11/5.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) 5.11/5.20 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(V_i)),V_n) ) )). 5.11/5.20 5.11/5.20 fof(fact_zmult__1,axiom,( 5.11/5.20 ! [V_z] : V_z = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) )). 5.11/5.20 5.11/5.20 fof(fact_less__Suc0,axiom,( 5.11/5.20 ! [V_n_2] : 5.11/5.20 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n_2 5.11/5.20 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) )). 5.11/5.20 5.11/5.20 fof(fact_poly__minus,axiom,( 5.11/5.20 ! [V_x,V_p,T_a] : 5.11/5.20 ( 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)) 5.11/5.20 <= class_Rings_Ocomm__ring(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_minus__unique,axiom,( 5.11/5.20 ! [V_b,V_a,T_a] : 5.11/5.20 ( class_Groups_Ogroup__add(T_a) 5.11/5.20 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a) = V_b 5.11/5.20 <= c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) ) ) )). 5.11/5.20 5.11/5.20 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,( 5.11/5.20 ! [V_c,V_a,T_a] : 5.11/5.20 ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) 5.11/5.20 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.11/5.20 5.11/5.20 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add,axiom,( 5.11/5.20 class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) )). 5.11/5.20 5.11/5.20 fof(fact_natceiling__eq,axiom,( 5.11/5.20 ! [V_x,V_n] : 5.11/5.20 ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) 5.11/5.20 => c_RComplete_Onatceiling(V_x) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x) ) )). 5.11/5.20 5.11/5.20 fof(fact_norm__ratiotest__lemma,axiom,( 5.11/5.20 ! [V_y,V_x,V_c,T_a] : 5.11/5.20 ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) 5.11/5.20 => ( 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))) 5.11/5.20 => c_Groups_Ozero__class_Ozero(T_a) = V_x ) ) 5.11/5.20 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_nat__mult__commute,axiom,( 5.11/5.20 ! [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) )). 5.11/5.20 5.11/5.20 fof(fact_reals__Archimedean4,axiom,( 5.11/5.20 ! [V_x,V_y] : 5.11/5.20 ( ( ? [B_n] : 5.11/5.20 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))),V_y)) 5.11/5.20 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B_n)),V_y),V_x) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) ) )). 5.11/5.20 5.11/5.20 fof(fact_xt1_I11_J,axiom,( 5.11/5.20 ! [V_a,V_b,T_a] : 5.11/5.20 ( class_Orderings_Oorder(T_a) 5.11/5.20 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) 5.11/5.20 => ( V_b != V_a 5.11/5.20 => c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) ) )). 5.11/5.20 5.11/5.20 fof(fact_sgn__zero,axiom,( 5.11/5.20 ! [T_a] : 5.11/5.20 ( c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) 5.11/5.20 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_Bseq__iff2,axiom,( 5.11/5.20 ! [V_X_2,T_a] : 5.11/5.20 ( ( ? [B_k] : 5.11/5.20 ( ? [B_x] : 5.11/5.20 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(V_X_2,B_n),c_Groups_Ouminus__class_Ouminus(T_a,B_x))),B_k) 5.11/5.20 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_k) ) 5.11/5.20 <=> c_SEQ_OBseq(T_a,V_X_2) ) 5.11/5.20 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_mult__pos__neg2,axiom,( 5.11/5.20 ! [V_b,V_a,T_a] : 5.11/5.20 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.11/5.20 => ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) 5.11/5.20 => 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)) ) ) 5.11/5.20 <= class_Rings_Olinordered__semiring__strict(T_a) ) )). 5.11/5.20 5.11/5.20 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,( 5.11/5.20 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )). 5.11/5.20 5.11/5.20 fof(fact_norm__minus__commute,axiom,( 5.11/5.20 ! [V_b,V_a,T_a] : 5.11/5.20 ( class_RealVector_Oreal__normed__vector(T_a) 5.11/5.20 => 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)) ) )). 5.11/5.20 5.11/5.20 fof(fact_square__eq__1__iff,axiom,( 5.11/5.20 ! [V_x_2,T_a] : 5.11/5.20 ( ( ( V_x_2 = c_Groups_Oone__class_Oone(T_a) 5.11/5.20 | c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) = V_x_2 ) 5.11/5.20 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a) ) 5.11/5.20 <= class_Rings_Oring__1__no__zero__divisors(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_ln__less__zero__iff,axiom,( 5.11/5.20 ! [V_x_2] : 5.11/5.20 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) 5.11/5.20 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) ) )). 5.11/5.20 5.11/5.20 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,( 5.11/5.20 class_Groups_Ogroup__add(tc_Int_Oint) )). 5.11/5.20 5.11/5.20 fof(fact_norm__sgn,axiom,( 5.11/5.20 ! [V_x,T_a] : 5.11/5.20 ( class_RealVector_Oreal__normed__vector(T_a) 5.11/5.20 => ( ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) 5.11/5.20 <= V_x != c_Groups_Ozero__class_Ozero(T_a) ) 5.11/5.20 & ( c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Osgn__class_Osgn(T_a,V_x)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) 5.11/5.20 <= V_x = c_Groups_Ozero__class_Ozero(T_a) ) ) ) )). 5.11/5.20 5.11/5.20 fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1,axiom,( 5.11/5.20 class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) )). 5.11/5.20 5.11/5.20 fof(fact_abs__leI,axiom,( 5.11/5.20 ! [V_b,V_a,T_a] : 5.11/5.20 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.11/5.20 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) 5.11/5.20 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) ) 5.11/5.20 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_order__eq__refl,axiom,( 5.11/5.20 ! [V_y,V_x,T_a] : 5.11/5.20 ( ( V_y = V_x 5.11/5.20 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) 5.11/5.20 <= class_Orderings_Opreorder(T_a) ) )). 5.11/5.20 5.11/5.20 fof(fact_order__less__trans,axiom,( 5.11/5.20 ! [V_z,V_y,V_x,T_a] : 5.11/5.20 ( class_Orderings_Opreorder(T_a) 5.11/5.20 => ( ( c_Orderings_Oord__class_Oless(T_a,V_x,V_z) 5.11/5.20 <= c_Orderings_Oord__class_Oless(T_a,V_y,V_z) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )). 5.11/5.20 5.11/5.20 fof(fact_nat0__intermed__int__val,axiom,( 5.11/5.20 ! [V_k_2,V_f_2,V_n_2] : 5.11/5.20 ( ! [B_i] : 5.11/5.20 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_i,V_n_2) 5.11/5.20 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(V_f_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_i,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(V_f_2,B_i))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) 5.11/5.20 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2) 5.11/5.20 => ( ? [B_i] : 5.11/5.20 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,V_n_2) 5.11/5.20 & V_k_2 = hAPP(V_f_2,B_i) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,hAPP(V_f_2,V_n_2)) ) ) ) )). 5.11/5.20 5.11/5.20 fof(fact_leI,axiom,( 5.11/5.20 ! [V_y,V_x,T_a] : 5.11/5.20 ( class_Orderings_Olinorder(T_a) 5.11/5.20 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) 5.11/5.20 <= ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )). 5.11/5.20 5.11/5.20 fof(fact_mult__eq__1__iff,axiom,( 5.11/5.20 ! [V_n_2,V_ma_2] : 5.11/5.20 ( ( c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n_2 5.11/5.20 & V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) 5.11/5.20 <=> 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)) ) )). 5.11/5.20 5.11/5.20 fof(arity_RealDef__Oreal__Orderings_Olinorder,axiom,( 5.11/5.20 class_Orderings_Olinorder(tc_RealDef_Oreal) )). 5.11/5.20 5.11/5.20 fof(fact_zadd__strict__right__mono,axiom,( 5.11/5.20 ! [V_k,V_j,V_i] : 5.11/5.20 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) 5.11/5.20 => 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)) ) )). 5.11/5.20 5.11/5.20 fof(arity_RealDef__Oreal__Rings_Osemiring__0,axiom,( 5.11/5.20 class_Rings_Osemiring__0(tc_RealDef_Oreal) )). 5.11/5.20 5.11/5.20 fof(fact_eq__diff__iff,axiom,( 5.11/5.20 ! [V_n_2,V_ma_2,V_k_2] : 5.11/5.20 ( ( ( V_n_2 = V_ma_2 5.11/5.20 <=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_ma_2) ) )). 5.11/5.20 5.11/5.20 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,( 5.11/5.20 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) )). 5.11/5.20 5.11/5.20 fof(fact_xt1_I2_J,axiom,( 5.11/5.20 ! [V_c,V_a,V_b,T_a] : 5.11/5.20 ( class_Orderings_Oorder(T_a) 5.11/5.20 => ( ( V_c = V_b 5.11/5.20 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) 5.11/5.20 <= c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) ) )). 5.11/5.20 5.11/5.21 fof(fact_even__less__0__iff,axiom,( 5.11/5.21 ! [V_a_2,T_a] : 5.11/5.21 ( class_Rings_Olinordered__idom(T_a) 5.11/5.21 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) 5.11/5.21 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) )). 5.11/5.21 5.11/5.21 fof(arity_RealDef__Oreal__Power_Opower,axiom,( 5.11/5.21 class_Power_Opower(tc_RealDef_Oreal) )). 5.11/5.21 5.11/5.21 fof(fact_zero__less__Suc,axiom,( 5.11/5.21 ! [V_n] : c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(V_n)) )). 5.11/5.21 5.11/5.21 fof(fact_diff__Suc__eq__diff__pred,axiom,( 5.11/5.21 ! [V_n,V_m] : 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) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) )). 5.11/5.21 5.11/5.21 fof(fact_left__minus,axiom,( 5.11/5.21 ! [V_a,T_a] : 5.11/5.21 ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_a) 5.11/5.21 <= class_Groups_Ogroup__add(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_abs__mult,axiom,( 5.11/5.21 ! [V_b,V_a,T_a] : 5.11/5.21 ( class_Rings_Olinordered__idom(T_a) 5.11/5.21 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) )). 5.11/5.21 5.11/5.21 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,( 5.11/5.21 ! [V_rx,V_ly,V_lx,T_a] : 5.11/5.21 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) 5.11/5.21 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.11/5.21 5.11/5.21 fof(arity_RealDef__Oreal__Groups_Ouminus,axiom,( 5.11/5.21 class_Groups_Ouminus(tc_RealDef_Oreal) )). 5.11/5.21 5.11/5.21 fof(arity_Complex__Ocomplex__Groups_Ouminus,axiom,( 5.11/5.21 class_Groups_Ouminus(tc_Complex_Ocomplex) )). 5.11/5.21 5.11/5.21 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,( 5.11/5.21 ! [V_a_2,T_a] : 5.11/5.21 ( class_Groups_Olinordered__ab__group__add(T_a) 5.11/5.21 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) 5.11/5.21 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) ) )). 5.11/5.21 5.11/5.21 fof(fact_diff__diff__cancel,axiom,( 5.11/5.21 ! [V_n,V_i] : 5.11/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_n) 5.11/5.21 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_i)) = V_i ) )). 5.11/5.21 5.11/5.21 fof(fact_diff__le__mono,axiom,( 5.11/5.21 ! [V_l,V_n,V_m] : 5.11/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.11/5.21 => 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)) ) )). 5.11/5.21 5.11/5.21 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,( 5.11/5.21 class_Rings_Osemiring__0(tc_Nat_Onat) )). 5.11/5.21 5.11/5.21 fof(fact_Suc__less__eq,axiom,( 5.11/5.21 ! [V_n_2,V_ma_2] : 5.11/5.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),c_Nat_OSuc(V_n_2)) 5.11/5.21 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.11/5.21 5.11/5.21 fof(fact_real__of__nat__gt__zero__cancel__iff,axiom,( 5.11/5.21 ! [V_n_2] : 5.11/5.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n_2)) 5.11/5.21 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) )). 5.11/5.21 5.11/5.21 fof(fact_natfloor__add,axiom,( 5.11/5.21 ! [V_a,V_x] : 5.11/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.11/5.21 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_mult_Odiff__right,axiom,( 5.11/5.21 ! [V_b_H,V_b,V_a,T_a] : 5.11/5.21 ( 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)) 5.11/5.21 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_Nat_Oadd__0__right,axiom,( 5.11/5.21 ! [V_m] : V_m = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )). 5.11/5.21 5.11/5.21 fof(fact_linorder__antisym__conv3,axiom,( 5.11/5.21 ! [V_x_2,V_y_2,T_a] : 5.11/5.21 ( class_Orderings_Olinorder(T_a) 5.11/5.21 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) 5.11/5.21 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) 5.11/5.21 <=> V_x_2 = V_y_2 ) ) ) )). 5.11/5.21 5.11/5.21 fof(fact_order__less__imp__le,axiom,( 5.11/5.21 ! [V_y,V_x,T_a] : 5.11/5.21 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.11/5.21 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) 5.11/5.21 <= class_Orderings_Opreorder(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_less__eq__nat_Osimps_I1_J,axiom,( 5.11/5.21 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) )). 5.11/5.21 5.11/5.21 fof(fact_order__le__less__trans,axiom,( 5.11/5.21 ! [V_z,V_y,V_x,T_a] : 5.11/5.21 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_x,V_z) 5.11/5.21 <= c_Orderings_Oord__class_Oless(T_a,V_y,V_z) ) 5.11/5.21 <= c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) 5.11/5.21 <= class_Orderings_Opreorder(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_real__natfloor__le,axiom,( 5.11/5.21 ! [V_x] : 5.11/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),V_x) 5.11/5.21 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.11/5.21 5.11/5.21 fof(fact_trans__less__add1,axiom,( 5.11/5.21 ! [V_m,V_j,V_i] : 5.11/5.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) 5.11/5.21 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) ) )). 5.11/5.21 5.11/5.21 fof(fact_mult_Ononneg__bounded,axiom,( 5.11/5.21 ! [T_a] : 5.11/5.21 ( class_RealVector_Oreal__normed__algebra(T_a) 5.11/5.21 => ? [B_K] : 5.11/5.21 ( ! [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)) 5.11/5.21 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) ) ) )). 5.11/5.21 5.11/5.21 fof(fact_add__Suc__shift,axiom,( 5.11/5.21 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) )). 5.11/5.21 5.11/5.21 fof(fact_diff__self__eq__0,axiom,( 5.11/5.21 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_m) )). 5.11/5.21 5.11/5.21 fof(fact_xt1_I10_J,axiom,( 5.11/5.21 ! [V_z,V_x,V_y,T_a] : 5.11/5.21 ( class_Orderings_Oorder(T_a) 5.11/5.21 => ( ( c_Orderings_Oord__class_Oless(T_a,V_z,V_x) 5.11/5.21 <= c_Orderings_Oord__class_Oless(T_a,V_z,V_y) ) 5.11/5.21 <= c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) )). 5.11/5.21 5.11/5.21 fof(fact_Zero__not__Suc,axiom,( 5.11/5.21 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) )). 5.11/5.21 5.11/5.21 fof(arity_RealDef__Oreal__Rings_Oring,axiom,( 5.11/5.21 class_Rings_Oring(tc_RealDef_Oreal) )). 5.11/5.21 5.11/5.21 fof(fact_trans__le__add2,axiom,( 5.11/5.21 ! [V_m,V_j,V_i] : 5.11/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) 5.11/5.21 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) ) )). 5.11/5.21 5.11/5.21 fof(fact_abs__less__iff,axiom,( 5.11/5.21 ! [V_b_2,V_a_2,T_a] : 5.11/5.21 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),V_b_2) 5.11/5.21 <=> ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) 5.11/5.21 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) ) ) 5.11/5.21 <= class_Rings_Olinordered__idom(T_a) ) )). 5.11/5.21 5.11/5.21 fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,axiom,( 5.11/5.21 class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) )). 5.11/5.21 5.11/5.21 fof(fact_div__mult__mult2,axiom,( 5.11/5.21 ! [V_b,V_a,V_c,T_a] : 5.11/5.21 ( ( c_Groups_Ozero__class_Ozero(T_a) != V_c 5.11/5.21 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) 5.11/5.21 <= class_Divides_Osemiring__div(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_abs__triangle__ineq,axiom,( 5.11/5.21 ! [V_b,V_a,T_a] : 5.11/5.21 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.11/5.21 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) )). 5.11/5.21 5.11/5.21 fof(fact_abs__add__one__not__less__self,axiom,( 5.11/5.21 ! [V_x] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_x) )). 5.11/5.21 5.11/5.21 fof(fact_add_Ocomm__neutral,axiom,( 5.11/5.21 ! [V_a,T_a] : 5.11/5.21 ( c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a 5.11/5.21 <= class_Groups_Ocomm__monoid__add(T_a) ) )). 5.11/5.21 5.11/5.21 fof(arity_Nat__Onat__Groups_Ominus,axiom,( 5.11/5.21 class_Groups_Ominus(tc_Nat_Onat) )). 5.11/5.21 5.11/5.21 fof(fact_power__Suc,axiom,( 5.11/5.21 ! [V_n,V_a,T_a] : 5.11/5.21 ( class_Power_Opower(T_a) 5.11/5.21 => 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),c_Nat_OSuc(V_n)) ) )). 5.11/5.21 5.11/5.21 fof(fact_ord__eq__le__trans,axiom,( 5.11/5.21 ! [V_c,V_b,V_a,T_a] : 5.11/5.21 ( ( V_b = V_a 5.11/5.21 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) 5.11/5.21 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) ) 5.11/5.21 <= class_Orderings_Oord(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_less__imp__diff__less,axiom,( 5.11/5.21 ! [V_n,V_k,V_j] : 5.11/5.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_n),V_k) 5.11/5.21 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k) ) )). 5.11/5.21 5.11/5.21 fof(fact_div__nonneg__neg__le0,axiom,( 5.11/5.21 ! [V_b,V_a] : 5.11/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) 5.11/5.21 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.11/5.21 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) )). 5.11/5.21 5.11/5.21 fof(fact_diffs0__imp__equal,axiom,( 5.11/5.21 ! [V_n,V_m] : 5.11/5.21 ( ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.11/5.21 => V_m = V_n ) 5.11/5.21 <= c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) )). 5.11/5.21 5.11/5.21 fof(fact_power__gt1,axiom,( 5.11/5.21 ! [V_n,V_a,T_a] : 5.11/5.21 ( ( 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))) 5.11/5.21 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) 5.11/5.21 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_Suc__mult__le__cancel1,axiom,( 5.11/5.21 ! [V_n_2,V_ma_2,V_k_2] : 5.11/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_n_2)) 5.11/5.21 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.11/5.21 5.11/5.21 fof(fact_diff__poly__code_I1_J,axiom,( 5.11/5.21 ! [V_q,T_a] : 5.11/5.21 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_q) = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) 5.11/5.21 <= class_Groups_Oab__group__add(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_zero__less__mult__pos,axiom,( 5.11/5.21 ! [V_b,V_a,T_a] : 5.11/5.21 ( class_Rings_Olinordered__semiring__strict(T_a) 5.11/5.21 => ( 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)) 5.11/5.21 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.11/5.21 => c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) )). 5.11/5.21 5.11/5.21 fof(arity_RealDef__Oreal__Rings_Olinordered__ring,axiom,( 5.11/5.21 class_Rings_Olinordered__ring(tc_RealDef_Oreal) )). 5.11/5.21 5.11/5.21 fof(fact_xt1_I1_J,axiom,( 5.11/5.21 ! [V_c,V_b,V_a,T_a] : 5.11/5.21 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_c,V_b) 5.11/5.21 => c_Orderings_Oord__class_Oless(T_a,V_c,V_a) ) 5.11/5.21 <= V_a = V_b ) 5.11/5.21 <= class_Orderings_Oorder(T_a) ) )). 5.11/5.21 5.11/5.21 fof(fact_power__0,axiom,( 5.11/5.21 ! [V_a,T_a] : 5.11/5.21 ( class_Power_Opower(T_a) 5.11/5.21 => 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) ) )). 5.11/5.21 5.11/5.21 fof(fact_le__imp__neg__le,axiom,( 5.11/5.21 ! [V_b,V_a,T_a] : 5.11/5.21 ( class_Groups_Oordered__ab__group__add(T_a) 5.11/5.21 => ( 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)) 5.11/5.21 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) )). 5.11/5.21 5.11/5.21 fof(fact_abs__mult__pos,axiom,( 5.11/5.21 ! [V_y,V_x,T_a] : 5.11/5.21 ( class_Rings_Olinordered__idom(T_a) 5.11/5.21 => ( c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_y)),V_x) 5.11/5.21 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) ) ) )). 5.11/5.21 5.11/5.21 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,( 5.11/5.21 ! [V_a_2,V_b_2] : 5.11/5.21 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2) 5.11/5.21 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2)) ) 5.11/5.21 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) ) )). 5.11/5.21 5.11/5.21 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,axiom,( 5.11/5.21 ! [T_1] : 5.11/5.21 ( class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(T_1)) 5.20/5.21 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.21 5.20/5.21 fof(fact_rabs__ratiotest__lemma,axiom,( 5.20/5.21 ! [V_y,V_x,V_c] : 5.20/5.21 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_c,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) 5.20/5.21 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_c),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_y))) 5.20/5.21 => V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) ) )). 5.20/5.21 5.20/5.21 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,axiom,( 5.20/5.21 ! [T_1] : 5.20/5.21 ( class_Rings_Olinordered__idom(T_1) 5.20/5.21 => class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.21 5.20/5.21 fof(fact_add__mono,axiom,( 5.20/5.21 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.21 ( ( ( 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)) 5.20/5.21 <= c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) ) 5.20/5.21 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) 5.20/5.21 <= class_Groups_Oordered__ab__semigroup__add(T_a) ) )). 5.20/5.21 5.20/5.21 fof(fact_lemma__interval__lt,axiom,( 5.20/5.21 ! [V_b,V_x,V_a] : 5.20/5.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x) 5.20/5.21 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b) 5.20/5.21 => ? [B_d] : 5.20/5.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d) 5.20/5.21 & ! [B_y] : 5.20/5.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,B_y)),B_d) 5.20/5.21 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,V_b) 5.20/5.21 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,B_y) ) ) ) ) ) )). 5.20/5.21 5.20/5.21 fof(fact_realpow__pos__nth__unique,axiom,( 5.20/5.21 ! [V_a,V_n] : 5.20/5.21 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) 5.20/5.21 => ? [B_x] : 5.20/5.21 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_x) 5.20/5.21 & V_a = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_x),V_n) 5.20/5.21 & ! [B_y] : 5.20/5.21 ( B_y = B_x 5.20/5.21 <= ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_y) 5.20/5.21 & V_a = hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_y),V_n) ) ) ) ) 5.20/5.21 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) )). 5.20/5.21 5.20/5.21 fof(fact_add__Suc,axiom,( 5.20/5.21 ! [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)) )). 5.20/5.21 5.20/5.21 fof(fact_tsub__def,axiom,( 5.20/5.21 ! [V_x,V_y] : 5.20/5.21 ( ( c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) = c_Nat__Transfer_Otsub(V_x,V_y) 5.20/5.21 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) ) 5.20/5.21 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) 5.20/5.21 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) )). 5.20/5.21 5.20/5.21 fof(fact_zadd__zless__mono,axiom,( 5.20/5.21 ! [V_z,V_z_H,V_w,V_w_H] : 5.20/5.21 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_H,V_z) 5.20/5.21 => 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)) ) 5.20/5.21 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_H,V_w) ) )). 5.20/5.21 5.20/5.21 fof(arity_Polynomial__Opoly__Orderings_Oord,axiom,( 5.20/5.21 ! [T_1] : 5.20/5.21 ( class_Orderings_Oord(tc_Polynomial_Opoly(T_1)) 5.20/5.21 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.21 5.20/5.21 fof(arity_RealDef__Oreal__Groups_Omonoid__mult,axiom,( 5.20/5.21 class_Groups_Omonoid__mult(tc_RealDef_Oreal) )). 5.20/5.21 5.20/5.21 fof(fact_not__less__eq,axiom,( 5.20/5.21 ! [V_n_2,V_ma_2] : 5.20/5.21 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) 5.20/5.21 <=> ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.21 5.20/5.21 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,axiom,( 5.20/5.21 ! [T_1] : 5.20/5.21 ( class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1)) 5.20/5.21 <= class_Groups_Ocomm__monoid__add(T_1) ) )). 5.20/5.21 5.20/5.21 fof(fact_neg__less__iff__less,axiom,( 5.20/5.21 ! [V_a_2,V_b_2,T_a] : 5.20/5.21 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.21 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) 5.20/5.21 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) )). 5.20/5.21 5.20/5.21 fof(fact_minus__add__distrib,axiom,( 5.20/5.21 ! [V_b,V_a,T_a] : 5.20/5.21 ( class_Groups_Oab__group__add(T_a) 5.20/5.21 => 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)) ) )). 5.20/5.21 5.20/5.21 fof(fact_gr__implies__not0,axiom,( 5.20/5.21 ! [V_n,V_m] : 5.20/5.21 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != V_n 5.20/5.21 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.21 5.20/5.21 fof(fact_no__zero__divisors,axiom,( 5.20/5.21 ! [V_b,V_a,T_a] : 5.20/5.22 ( ( ( c_Groups_Ozero__class_Ozero(T_a) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) 5.20/5.22 <= c_Groups_Ozero__class_Ozero(T_a) != V_b ) 5.20/5.22 <= c_Groups_Ozero__class_Ozero(T_a) != V_a ) 5.20/5.22 <= class_Rings_Ono__zero__divisors(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,( 5.20/5.22 ! [V_q,V_p,V_x,T_a] : 5.20/5.22 ( 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)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) 5.20/5.22 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,( 5.20/5.22 ! [V_x,T_a] : 5.20/5.22 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.22 => c_Groups_Oone__class_Oone(T_a) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) )). 5.20/5.22 5.20/5.22 fof(fact_div__mult__self__is__m,axiom,( 5.20/5.22 ! [V_m,V_n] : 5.20/5.22 ( V_m = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n),V_n) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Ocomm__ring(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Rings_Ocomm__ring(T_1) ) )). 5.20/5.22 5.20/5.22 fof(fact_power__strict__increasing,axiom,( 5.20/5.22 ! [V_a,V_N,V_n,T_a] : 5.20/5.22 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.22 => ( ( 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)) 5.20/5.22 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_abs__eq__mult,axiom,( 5.20/5.22 ! [V_b,V_a,T_a] : 5.20/5.22 ( class_Rings_Oordered__ring__abs(T_a) 5.20/5.22 => ( c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)) 5.20/5.22 <= ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.22 | c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.22 & ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.22 | c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Groups_Ocomm__monoid__add(T_1) ) )). 5.20/5.22 5.20/5.22 fof(fact_less__add__one,axiom,( 5.20/5.22 ! [V_a,T_a] : 5.20/5.22 ( 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))) 5.20/5.22 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_mult__diff__mult,axiom,( 5.20/5.22 ! [V_b,V_a,V_y,V_x,T_a] : 5.20/5.22 ( class_Rings_Oring(T_a) 5.20/5.22 => 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)) = 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)) ) )). 5.20/5.22 5.20/5.22 fof(fact_real__diff__def,axiom,( 5.20/5.22 ! [V_s,V_r] : c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_r,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_s)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_r,V_s) )). 5.20/5.22 5.20/5.22 fof(fact_zdiv__zminus__zminus,axiom,( 5.20/5.22 ! [V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_a),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_b)) )). 5.20/5.22 5.20/5.22 fof(fact_zmult__1__right,axiom,( 5.20/5.22 ! [V_z] : V_z = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) )). 5.20/5.22 5.20/5.22 fof(fact_natceiling__one,axiom,( 5.20/5.22 c_RComplete_Onatceiling(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,axiom,( 5.20/5.22 class_Groups_Ocancel__comm__monoid__add(tc_RealDef_Oreal) )). 5.20/5.22 5.20/5.22 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,( 5.20/5.22 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,( 5.20/5.22 ! [V_a_2,T_a] : 5.20/5.22 ( class_Groups_Olinordered__ab__group__add(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)) 5.20/5.22 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_zless__add1__eq,axiom,( 5.20/5.22 ! [V_z_2,V_w_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) 5.20/5.22 <=> ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) 5.20/5.22 | V_z_2 = V_w_2 ) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Oidom(T_1) 5.20/5.22 => class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.22 5.20/5.22 fof(arity_Nat__Onat__Orderings_Oorder,axiom,( 5.20/5.22 class_Orderings_Oorder(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(fact_neg__imp__zdiv__neg__iff,axiom,( 5.20/5.22 ! [V_a_2,V_b_2] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2) 5.20/5.22 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )). 5.20/5.22 5.20/5.22 fof(fact_not__leE,axiom,( 5.20/5.22 ! [V_x,V_y,T_a] : 5.20/5.22 ( class_Orderings_Olinorder(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_y) 5.20/5.22 <= ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_le__cube,axiom,( 5.20/5.22 ! [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))) )). 5.20/5.22 5.20/5.22 fof(fact_ln__ge__zero__iff,axiom,( 5.20/5.22 ! [V_x_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x_2)) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_Bseq__iff3,axiom,( 5.20/5.22 ! [V_X_2,T_a] : 5.20/5.22 ( ( c_SEQ_OBseq(T_a,V_X_2) 5.20/5.22 <=> ? [B_k] : 5.20/5.22 ( ? [B_N] : 5.20/5.22 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(V_X_2,B_n),c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_X_2,B_N)))),B_k) 5.20/5.22 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_k) ) ) 5.20/5.22 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.22 5.20/5.22 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,( 5.20/5.22 class_Groups_Omonoid__add(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(fact_nat__le__real__less,axiom,( 5.20/5.22 ! [V_ma_2,V_n_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) 5.20/5.22 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_ma_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ) )). 5.20/5.22 5.20/5.22 fof(fact_le__Suc__ex__iff,axiom,( 5.20/5.22 ! [V_l_2,V_k_2] : 5.20/5.22 ( ? [B_n] : V_l_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,B_n) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_l_2) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Rings_Oordered__semiring,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Oordered__semiring(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.22 5.20/5.22 fof(fact_eq__add__iff2,axiom,( 5.20/5.22 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : 5.20/5.22 ( ( 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) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_ca_2) 5.20/5.22 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_a_2)),V_e_2),V_d_2) = V_ca_2 ) 5.20/5.22 <= class_Rings_Oring(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_field__le__epsilon,axiom,( 5.20/5.22 ! [V_y,V_x,T_a] : 5.20/5.22 ( class_Fields_Olinordered__field(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.20/5.22 <= ! [B_e] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),B_e) 5.20/5.22 => c_Orderings_Oord__class_Oless__eq(T_a,V_x,c_Groups_Oplus__class_Oplus(T_a,V_y,B_e)) ) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,axiom,( 5.20/5.22 class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) )). 5.20/5.22 5.20/5.22 fof(fact_linorder__not__le,axiom,( 5.20/5.22 ! [V_y_2,V_x_2,T_a] : 5.20/5.22 ( class_Orderings_Olinorder(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) 5.20/5.22 <=> ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_mult__left__mono__neg,axiom,( 5.20/5.22 ! [V_c,V_a,V_b,T_a] : 5.20/5.22 ( class_Rings_Oordered__ring(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.22 => 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)) ) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_RealDef__Oreal__Rings_Olinordered__ring__strict,axiom,( 5.20/5.22 class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) )). 5.20/5.22 5.20/5.22 fof(fact_less__not__refl3,axiom,( 5.20/5.22 ! [V_t,V_s] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_s,V_t) 5.20/5.22 => V_s != V_t ) )). 5.20/5.22 5.20/5.22 fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,axiom,( 5.20/5.22 class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) )). 5.20/5.22 5.20/5.22 fof(fact_add__right__imp__eq,axiom,( 5.20/5.22 ! [V_c,V_a,V_b,T_a] : 5.20/5.22 ( ( c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) = c_Groups_Oplus__class_Oplus(T_a,V_b,V_a) 5.20/5.22 => V_b = V_c ) 5.20/5.22 <= class_Groups_Ocancel__semigroup__add(T_a) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Groups_Ocancel__comm__monoid__add(T_1) ) )). 5.20/5.22 5.20/5.22 fof(fact_abs__le__interval__iff,axiom,( 5.20/5.22 ! [V_ra_2,V_x_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x_2),V_ra_2) 5.20/5.22 <=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_ra_2) 5.20/5.22 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_ra_2),V_x_2) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_linorder__antisym__conv2,axiom,( 5.20/5.22 ! [V_y_2,V_x_2,T_a] : 5.20/5.22 ( class_Orderings_Olinorder(T_a) 5.20/5.22 => ( ( V_y_2 = V_x_2 5.20/5.22 <=> ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_Int__Oint__Groups_Ominus,axiom,( 5.20/5.22 class_Groups_Ominus(tc_Int_Oint) )). 5.20/5.22 5.20/5.22 fof(fact_add__eq__if,axiom,( 5.20/5.22 ! [V_n,V_m] : 5.20/5.22 ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n)) 5.20/5.22 <= V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) 5.20/5.22 & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_m 5.20/5.22 => c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_n ) ) )). 5.20/5.22 5.20/5.22 fof(fact_mult_Ominus__left,axiom,( 5.20/5.22 ! [V_b,V_a,T_a] : 5.20/5.22 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.22 => 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) ) )). 5.20/5.22 5.20/5.22 fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add,axiom,( 5.20/5.22 class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) )). 5.20/5.22 5.20/5.22 fof(arity_RealDef__Oreal__Rings_Olinordered__idom,axiom,( 5.20/5.22 class_Rings_Olinordered__idom(tc_RealDef_Oreal) )). 5.20/5.22 5.20/5.22 fof(arity_fun__Orderings_Oord,axiom,( 5.20/5.22 ! [T_2,T_1] : 5.20/5.22 ( class_Orderings_Oord(T_1) 5.20/5.22 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) )). 5.20/5.22 5.20/5.22 fof(fact_add__left__mono,axiom,( 5.20/5.22 ! [V_c,V_b,V_a,T_a] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.22 => 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)) ) 5.20/5.22 <= class_Groups_Oordered__ab__semigroup__add(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_real__mult__less__iff1,axiom,( 5.20/5.22 ! [V_y_2,V_x_2,V_z_2] : 5.20/5.22 ( ( 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)) 5.20/5.22 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Olinordered__idom(T_1) 5.20/5.22 => class_Rings_Olinordered__semiring__1(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.22 5.20/5.22 fof(fact_le__diff__iff,axiom,( 5.20/5.22 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_ma_2) 5.20/5.22 => ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,( 5.20/5.22 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )). 5.20/5.22 5.20/5.22 fof(fact_real__mult__commute,axiom,( 5.20/5.22 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_w),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_z),V_w) )). 5.20/5.22 5.20/5.22 fof(fact_real__le__refl,axiom,( 5.20/5.22 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_w) )). 5.20/5.22 5.20/5.22 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,( 5.20/5.22 class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) )). 5.20/5.22 5.20/5.22 fof(fact_zero__le__square,axiom,( 5.20/5.22 ! [V_a,T_a] : 5.20/5.22 ( 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)) 5.20/5.22 <= class_Rings_Olinordered__ring(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_norm__triangle__ineq,axiom,( 5.20/5.22 ! [V_y,V_x,T_a] : 5.20/5.22 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.22 => 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))) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Rings_Osemiring,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Osemiring(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Rings_Ocomm__semiring__0(T_1) ) )). 5.20/5.22 5.20/5.22 fof(fact_mult__eq__self__implies__10,axiom,( 5.20/5.22 ! [V_n,V_m] : 5.20/5.22 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) 5.20/5.22 => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_m 5.20/5.22 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = V_n ) ) )). 5.20/5.22 5.20/5.22 fof(fact_pos__poly__total,axiom,( 5.20/5.22 ! [V_p,T_a] : 5.20/5.22 ( ( c_Polynomial_Opos__poly(T_a,V_p) 5.20/5.22 | c_Polynomial_Opos__poly(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)) 5.20/5.22 | V_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) ) 5.20/5.22 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_Suc__mono,axiom,( 5.20/5.22 ! [V_n,V_m] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.22 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) )). 5.20/5.22 5.20/5.22 fof(arity_Complex__Ocomplex__Groups_Oab__group__add,axiom,( 5.20/5.22 class_Groups_Oab__group__add(tc_Complex_Ocomplex) )). 5.20/5.22 5.20/5.22 fof(fact_complex__mod__triangle__sub,axiom,( 5.20/5.22 ! [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))) )). 5.20/5.22 5.20/5.22 fof(fact_lemma__interval,axiom,( 5.20/5.22 ! [V_b,V_x,V_a] : 5.20/5.22 ( ( ? [B_d] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_d) 5.20/5.22 & ! [B_y] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,B_y,V_b) 5.20/5.22 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_a,B_y) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,B_y)),B_d) ) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_b) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,V_x) ) )). 5.20/5.22 5.20/5.22 fof(fact_zadd__zmult__distrib,axiom,( 5.20/5.22 ! [V_w,V_z2,V_z1] : 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z1,V_z2)),V_w) )). 5.20/5.22 5.20/5.22 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,( 5.20/5.22 ! [V_c,V_b,V_a,T_a] : 5.20/5.22 ( c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) 5.20/5.22 <= class_Groups_Oab__semigroup__add(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_less__iff__Suc__add,axiom,( 5.20/5.22 ! [V_n_2,V_ma_2] : 5.20/5.22 ( ? [B_k] : c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k)) = V_n_2 5.20/5.22 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.22 5.20/5.22 fof(fact_diff__cancel,axiom,( 5.20/5.22 ! [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) )). 5.20/5.22 5.20/5.22 fof(fact_zmult__zminus,axiom,( 5.20/5.22 ! [V_w,V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)),V_w) )). 5.20/5.22 5.20/5.22 fof(fact_zdiv__zminus2,axiom,( 5.20/5.22 ! [V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_b)) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_a),V_b) )). 5.20/5.22 5.20/5.22 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,( 5.20/5.22 class_Rings_Olinordered__semidom(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(arity_Int__Oint__Rings_Oidom,axiom,( 5.20/5.22 class_Rings_Oidom(tc_Int_Oint) )). 5.20/5.22 5.20/5.22 fof(fact_norm__zero,axiom,( 5.20/5.22 ! [T_a] : 5.20/5.22 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.22 => c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) )). 5.20/5.22 5.20/5.22 fof(fact_diff__poly__code_I2_J,axiom,( 5.20/5.22 ! [V_p,T_a] : 5.20/5.22 ( V_p = c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) 5.20/5.22 <= class_Groups_Oab__group__add(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_zero__less__one,axiom,( 5.20/5.22 ! [T_a] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) 5.20/5.22 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_real__mult__le__cancel__iff1,axiom,( 5.20/5.22 ! [V_y_2,V_x_2,V_z_2] : 5.20/5.22 ( ( 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)) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) ) )). 5.20/5.22 5.20/5.22 fof(fact_mult__left_Opos__bounded,axiom,( 5.20/5.22 ! [V_y,T_a] : 5.20/5.22 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.22 => ? [B_K] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) 5.20/5.22 & ! [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)) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_decseq__def,axiom,( 5.20/5.22 ! [V_X_2,T_a] : 5.20/5.22 ( class_Orderings_Oorder(T_a) 5.20/5.22 => ( ! [B_m,B_n] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n) 5.20/5.22 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_n),hAPP(V_X_2,B_m)) ) 5.20/5.22 <=> c_SEQ_Odecseq(T_a,V_X_2) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_le__add__iff1,axiom,( 5.20/5.22 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : 5.20/5.22 ( class_Rings_Oordered__ring(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)),V_e_2),V_ca_2),V_d_2) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,axiom,( 5.20/5.22 class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex) )). 5.20/5.22 5.20/5.22 fof(fact_mult__strict__mono,axiom,( 5.20/5.22 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.22 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.22 => 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)) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(T_a,V_c,V_d) ) ) 5.20/5.22 <= class_Rings_Olinordered__semiring__strict(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_not__less__eq__eq,axiom,( 5.20/5.22 ! [V_n_2,V_ma_2] : 5.20/5.22 ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) )). 5.20/5.22 5.20/5.22 fof(fact_abs__not__less__zero,axiom,( 5.20/5.22 ! [V_a,T_a] : 5.20/5.22 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.22 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Ozero__class_Ozero(T_a)) ) )). 5.20/5.22 5.20/5.22 fof(fact_order__less__asym_H,axiom,( 5.20/5.22 ! [V_b,V_a,T_a] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.22 => ~ c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) 5.20/5.22 <= class_Orderings_Opreorder(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_decr__mult__lemma,axiom,( 5.20/5.22 ! [V_k_2,V_P_2,V_d_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d_2) 5.20/5.22 => ( ! [B_x] : 5.20/5.22 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,B_x,V_d_2))) 5.20/5.22 <= hBOOL(hAPP(V_P_2,B_x)) ) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) 5.20/5.22 => ! [B_x] : 5.20/5.22 ( hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) 5.20/5.22 <= hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_power__mono,axiom,( 5.20/5.22 ! [V_n,V_b,V_a,T_a] : 5.20/5.22 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.22 => ( 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)) 5.20/5.22 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_power__le__imp__le__base,axiom,( 5.20/5.22 ! [V_b,V_n,V_a,T_a] : 5.20/5.22 ( ( 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))) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.22 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) 5.20/5.22 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_real__of__nat__mult,axiom,( 5.20/5.22 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),c_RealDef_Oreal(tc_Nat_Onat,V_n)) )). 5.20/5.22 5.20/5.22 fof(fact_mult__right_Oadd,axiom,( 5.20/5.22 ! [V_y,V_x,V_xa,T_a] : 5.20/5.22 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.22 => 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) ) )). 5.20/5.22 5.20/5.22 fof(fact_minus__mult__commute,axiom,( 5.20/5.22 ! [V_b,V_a,T_a] : 5.20/5.22 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_b) 5.20/5.22 <= class_Rings_Oring(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_abs__minus__cancel,axiom,( 5.20/5.22 ! [V_a,T_a] : 5.20/5.22 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.22 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_add__pos__pos,axiom,( 5.20/5.22 ! [V_b,V_a,T_a] : 5.20/5.22 ( class_Groups_Oordered__comm__monoid__add(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.22 => ( 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)) 5.20/5.22 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_nat__mult__assoc,axiom,( 5.20/5.22 ! [V_k,V_n,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_n),V_k)) = 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) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.22 5.20/5.22 fof(fact_power__Suc__less__one,axiom,( 5.20/5.22 ! [V_n,V_a,T_a] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) 5.20/5.22 => c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)),c_Groups_Oone__class_Oone(T_a)) ) ) 5.20/5.22 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_le0,axiom,( 5.20/5.22 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) )). 5.20/5.22 5.20/5.22 fof(arity_Int__Oint__Int_Oring__char__0,axiom,( 5.20/5.22 class_Int_Oring__char__0(tc_Int_Oint) )). 5.20/5.22 5.20/5.22 fof(fact_le__imp__less__Suc,axiom,( 5.20/5.22 ! [V_n,V_m] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) 5.20/5.22 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.22 5.20/5.22 fof(fact_nat__less__real__le,axiom,( 5.20/5.22 ! [V_ma_2,V_n_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)) ) )). 5.20/5.22 5.20/5.22 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,( 5.20/5.22 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,axiom,( 5.20/5.22 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) )). 5.20/5.22 5.20/5.22 fof(fact_reals__Archimedean3,axiom,( 5.20/5.22 ! [V_x] : 5.20/5.22 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.22 => ! [B_y] : 5.20/5.22 ? [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,B_y,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,B_n)),V_x)) ) )). 5.20/5.22 5.20/5.22 fof(fact_add__leD2,axiom,( 5.20/5.22 ! [V_n,V_k,V_m] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) 5.20/5.22 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) ) )). 5.20/5.22 5.20/5.22 fof(fact_real__le__eq__diff,axiom,( 5.20/5.22 ! [V_y_2,V_x_2] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) 5.20/5.22 <=> 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)) ) )). 5.20/5.22 5.20/5.22 fof(fact_mult__1__left,axiom,( 5.20/5.22 ! [V_a,T_a] : 5.20/5.22 ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) 5.20/5.22 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_less__poly__def,axiom,( 5.20/5.22 ! [V_y_2,V_x_2,T_a] : 5.20/5.22 ( class_Rings_Olinordered__idom(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) 5.20/5.22 <=> c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_abs__real__of__nat__cancel,axiom,( 5.20/5.22 ! [V_x] : c_RealDef_Oreal(tc_Nat_Onat,V_x) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x)) )). 5.20/5.22 5.20/5.22 fof(fact_add__strict__mono,axiom,( 5.20/5.22 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.22 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.22 => ( 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)) 5.20/5.22 <= c_Orderings_Oord__class_Oless(T_a,V_c,V_d) ) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,( 5.20/5.22 class_Groups_Oab__semigroup__mult(tc_Int_Oint) )). 5.20/5.22 5.20/5.22 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,( 5.20/5.22 ! [V_c,V_b,V_a,T_a] : 5.20/5.22 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.22 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_c)) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_c) ) )). 5.20/5.22 5.20/5.22 fof(fact_real__of__nat__one,axiom,( 5.20/5.22 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )). 5.20/5.22 5.20/5.22 fof(fact_complex__mod__triangle__ineq2,axiom,( 5.20/5.22 ! [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)) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.22 5.20/5.22 fof(fact_norm__add__less,axiom,( 5.20/5.22 ! [V_s,V_y,V_r,V_x,T_a] : 5.20/5.22 ( ( ( 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)) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) ) 5.20/5.22 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.22 5.20/5.22 fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,axiom,( 5.20/5.22 class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Int_Oring__char__0,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Olinordered__idom(T_1) 5.20/5.22 => class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.22 5.20/5.22 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,( 5.20/5.22 class_Orderings_Olinorder(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(fact_mult__poly__0__right,axiom,( 5.20/5.22 ! [V_p,T_a] : 5.20/5.22 ( 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)) 5.20/5.22 <= class_Rings_Ocomm__semiring__0(T_a) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.22 ( class_Rings_Olinordered__ring(tc_Polynomial_Opoly(T_1)) 5.20/5.22 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.22 5.20/5.22 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,( 5.20/5.22 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )). 5.20/5.22 5.20/5.22 fof(fact_realpow__pos__nth,axiom,( 5.20/5.22 ! [V_a,V_n] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) 5.20/5.22 => ? [B_r] : 5.20/5.22 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),B_r),V_n) = V_a 5.20/5.22 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_r) ) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) )). 5.20/5.22 5.20/5.22 fof(fact_abs__of__neg,axiom,( 5.20/5.22 ! [V_a,T_a] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.22 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) 5.20/5.22 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_nat__diff__split__asm,axiom,( 5.20/5.22 ! [V_b_2,V_a_2,V_P_2] : 5.20/5.22 ( ~ ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2) 5.20/5.22 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) 5.20/5.22 | ? [B_d] : 5.20/5.22 ( ~ hBOOL(hAPP(V_P_2,B_d)) 5.20/5.22 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) = V_a_2 ) ) 5.20/5.22 <=> hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2))) ) )). 5.20/5.22 5.20/5.22 fof(fact_sum__squares__eq__zero__iff,axiom,( 5.20/5.22 ! [V_y_2,V_x_2,T_a] : 5.20/5.22 ( ( 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) 5.20/5.22 <=> ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 5.20/5.22 & c_Groups_Ozero__class_Ozero(T_a) = V_y_2 ) ) 5.20/5.22 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_zadd__assoc,axiom,( 5.20/5.22 ! [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)) )). 5.20/5.22 5.20/5.22 fof(fact_add__leE,axiom,( 5.20/5.22 ! [V_n,V_k,V_m] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) 5.20/5.22 => ~ ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.22 => ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) ) )). 5.20/5.22 5.20/5.22 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,( 5.20/5.22 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )). 5.20/5.22 5.20/5.22 fof(fact_mult__right_Obounded,axiom,( 5.20/5.22 ! [V_x,T_a] : 5.20/5.22 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.22 => ? [B_K] : 5.20/5.22 ! [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)) ) )). 5.20/5.22 5.20/5.22 fof(fact_diff__add__assoc,axiom,( 5.20/5.22 ! [V_i,V_j,V_k] : 5.20/5.22 ( 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)) 5.20/5.22 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) ) )). 5.20/5.22 5.20/5.22 fof(fact_real__le__linear,axiom,( 5.20/5.22 ! [V_w,V_z] : 5.20/5.22 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) 5.20/5.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) ) )). 5.20/5.22 5.20/5.22 fof(fact_minus__le__iff,axiom,( 5.20/5.22 ! [V_b_2,V_a_2,T_a] : 5.20/5.22 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.22 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) 5.20/5.22 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_sgn__one,axiom,( 5.20/5.22 ! [T_a] : 5.20/5.22 ( c_Groups_Osgn__class_Osgn(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) 5.20/5.22 <= class_RealVector_Oreal__normed__algebra__1(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_add__less__imp__less__left,axiom,( 5.20/5.22 ! [V_b,V_a,V_c,T_a] : 5.20/5.22 ( ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.22 <= 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)) ) 5.20/5.22 <= class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_power__commutes,axiom,( 5.20/5.22 ! [V_n,V_a,T_a] : 5.20/5.22 ( 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)) 5.20/5.22 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.22 5.20/5.22 fof(fact_order__less__imp__not__eq,axiom,( 5.20/5.22 ! [V_y,V_x,T_a] : 5.20/5.22 ( class_Orderings_Oorder(T_a) 5.20/5.22 => ( V_x != V_y 5.20/5.22 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )). 5.20/5.22 5.20/5.22 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,( 5.20/5.22 ! [V_a,T_a] : 5.20/5.22 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.22 => 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) ) )). 5.20/5.22 5.20/5.22 fof(fact_one__less__mult,axiom,( 5.20/5.22 ! [V_m,V_n] : 5.20/5.22 ( ( 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)) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) 5.20/5.22 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) ) )). 5.20/5.22 5.20/5.22 fof(arity_Polynomial__Opoly__Groups_Ogroup__add,axiom,( 5.20/5.22 ! [T_1] : 5.20/5.23 ( class_Groups_Ogroup__add(tc_Polynomial_Opoly(T_1)) 5.20/5.23 <= class_Groups_Oab__group__add(T_1) ) )). 5.20/5.23 5.20/5.23 fof(fact_xt1_I7_J,axiom,( 5.20/5.23 ! [V_z,V_x,V_y,T_a] : 5.20/5.23 ( class_Orderings_Oorder(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_x) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) ) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_norm__power,axiom,( 5.20/5.23 ! [V_n,V_x,T_a] : 5.20/5.23 ( class_RealVector_Oreal__normed__div__algebra(T_a) 5.20/5.23 => 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) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,( 5.20/5.23 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_add__nonneg__nonneg,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.23 => 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)) ) ) 5.20/5.23 <= class_Groups_Oordered__comm__monoid__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_le__add__diff,axiom,( 5.20/5.23 ! [V_m,V_n,V_k] : 5.20/5.23 ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) )). 5.20/5.23 5.20/5.23 fof(fact_real__of__nat__Suc__gt__zero,axiom,( 5.20/5.23 ! [V_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n))) )). 5.20/5.23 5.20/5.23 fof(arity_HOL__Obool__Groups_Ominus,axiom,( 5.20/5.23 class_Groups_Ominus(tc_HOL_Obool) )). 5.20/5.23 5.20/5.23 fof(fact_neg__0__equal__iff__equal,axiom,( 5.20/5.23 ! [V_a_2,T_a] : 5.20/5.23 ( ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.23 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.23 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,( 5.20/5.23 ! [V_a_2,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.23 <= class_Groups_Olinordered__ab__group__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__right__le__imp__le,axiom,( 5.20/5.23 ! [V_b,V_c,V_a,T_a] : 5.20/5.23 ( ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) 5.20/5.23 <= 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)) ) 5.20/5.23 <= class_Rings_Olinordered__semiring__strict(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,( 5.20/5.23 class_Orderings_Opreorder(tc_HOL_Obool) )). 5.20/5.23 5.20/5.23 fof(fact_real__squared__diff__one__factored,axiom,( 5.20/5.23 ! [V_x,T_a] : 5.20/5.23 ( class_Rings_Oring__1(T_a) 5.20/5.23 => 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))) ) )). 5.20/5.23 5.20/5.23 fof(fact_zpower__zpower,axiom,( 5.20/5.23 ! [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)) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Rings_Oidom,axiom,( 5.20/5.23 class_Rings_Oidom(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_termination__basic__simps_I2_J,axiom,( 5.20/5.23 ! [V_y,V_z,V_x] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_z) 5.20/5.23 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) )). 5.20/5.23 5.20/5.23 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,( 5.20/5.23 class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) )). 5.20/5.23 5.20/5.23 fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1,axiom,( 5.20/5.23 ! [T_1] : 5.20/5.23 ( class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(T_1)) 5.20/5.23 <= class_Rings_Ocomm__ring__1(T_1) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__strict__left__mono,axiom,( 5.20/5.23 ! [V_c,V_b,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.23 => 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)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_poly__1,axiom,( 5.20/5.23 ! [V_x,T_a] : 5.20/5.23 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.23 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Polynomial_Opoly(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_x) ) )). 5.20/5.23 5.20/5.23 fof(fact_less__trans__Suc,axiom,( 5.20/5.23 ! [V_k,V_j,V_i] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_i),V_k) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_j,V_k) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_order__less__not__sym,axiom,( 5.20/5.23 ! [V_y,V_x,T_a] : 5.20/5.23 ( class_Orderings_Opreorder(T_a) 5.20/5.23 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_linorder__linear,axiom,( 5.20/5.23 ! [V_y,V_x,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) 5.20/5.23 | c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) 5.20/5.23 <= class_Orderings_Olinorder(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_real__of__nat__ge__zero,axiom,( 5.20/5.23 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)) )). 5.20/5.23 5.20/5.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a 5.20/5.23 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_natceiling__le__eq,axiom,( 5.20/5.23 ! [V_a_2,V_x_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),V_a_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_RealDef_Oreal(tc_Nat_Onat,V_a_2)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_lemma__realpow__diff,axiom,( 5.20/5.23 ! [V_y,V_n,V_p,T_a] : 5.20/5.23 ( ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),V_p)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,V_p))),V_y) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_p,V_n) ) 5.20/5.23 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,( 5.20/5.23 ! [V_rx,V_ly,V_lx,T_a] : 5.20/5.23 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),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_ly)),V_rx) ) )). 5.20/5.23 5.20/5.23 fof(fact_power__increasing__iff,axiom,( 5.20/5.23 ! [V_y_2,V_x_2,V_b_2,T_a] : 5.20/5.23 ( ( ( 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)) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x_2,V_y_2) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_b_2) ) 5.20/5.23 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_zdiv__mono1,axiom,( 5.20/5.23 ! [V_b,V_a_H,V_a] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__poly__code_I1_J,axiom,( 5.20/5.23 ! [V_q,T_a] : 5.20/5.23 ( c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q) = V_q 5.20/5.23 <= class_Groups_Ocomm__monoid__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__le__mono2,axiom,( 5.20/5.23 ! [V_l,V_n,V_m] : 5.20/5.23 ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.23 5.20/5.23 fof(fact_zero__less__mult__pos2,axiom,( 5.20/5.23 ! [V_a,V_b,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) 5.20/5.23 <= 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)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_minus__minus,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( class_Groups_Ogroup__add(T_a) 5.20/5.23 => V_a = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a)) ) )). 5.20/5.23 5.20/5.23 fof(fact_power__minus,axiom,( 5.20/5.23 ! [V_n,V_a,T_a] : 5.20/5.23 ( class_Rings_Oring__1(T_a) 5.20/5.23 => 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)) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__nonpos__nonpos,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 => 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)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.23 <= class_Groups_Oordered__comm__monoid__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_zdiv__eq__0__iff,axiom,( 5.20/5.23 ! [V_k_2,V_i_2] : 5.20/5.23 ( ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_i_2) 5.20/5.23 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) 5.20/5.23 | ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i_2) 5.20/5.23 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i_2,V_k_2) ) 5.20/5.23 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = V_k_2 ) 5.20/5.23 <=> c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) )). 5.20/5.23 5.20/5.23 fof(fact_not__less__iff__gr__or__eq,axiom,( 5.20/5.23 ! [V_y_2,V_x_2,T_a] : 5.20/5.23 ( ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) 5.20/5.23 <=> ( V_x_2 = V_y_2 5.20/5.23 | c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) ) ) 5.20/5.23 <= class_Orderings_Olinorder(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_minus__real__def,axiom,( 5.20/5.23 ! [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)) )). 5.20/5.23 5.20/5.23 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,( 5.20/5.23 class_Rings_Omult__zero(tc_Nat_Onat) )). 5.20/5.23 5.20/5.23 fof(fact_nat__add__left__cancel__le,axiom,( 5.20/5.23 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2)) ) )). 5.20/5.23 5.20/5.23 fof(fact_div__less,axiom,( 5.20/5.23 ! [V_n,V_m] : 5.20/5.23 ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.23 5.20/5.23 fof(arity_Complex__Ocomplex__Int_Oring__char__0,axiom,( 5.20/5.23 class_Int_Oring__char__0(tc_Complex_Ocomplex) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,( 5.20/5.23 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(fact_pos__imp__zdiv__pos__iff,axiom,( 5.20/5.23 ! [V_i_2,V_k_2] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_i_2,V_k_2)) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,V_i_2) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) ) )). 5.20/5.23 5.20/5.23 fof(fact_power__one__right,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a 5.20/5.23 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_zle__linear,axiom,( 5.20/5.23 ! [V_w,V_z] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) 5.20/5.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) ) )). 5.20/5.23 5.20/5.23 fof(fact_le__add2,axiom,( 5.20/5.23 ! [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)) )). 5.20/5.23 5.20/5.23 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,( 5.20/5.23 class_Rings_Oordered__semiring(tc_Nat_Onat) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,( 5.20/5.23 class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_less__zeroE,axiom,( 5.20/5.23 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )). 5.20/5.23 5.20/5.23 fof(fact_one__less__power,axiom,( 5.20/5.23 ! [V_n,V_a,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) 5.20/5.23 => ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) ) 5.20/5.23 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_linorder__less__linear,axiom,( 5.20/5.23 ! [V_y,V_x,T_a] : 5.20/5.23 ( class_Orderings_Olinorder(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) 5.20/5.23 | V_y = V_x 5.20/5.23 | c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_zero__less__power,axiom,( 5.20/5.23 ! [V_n,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.23 => 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)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_m,axiom,( 5.20/5.23 ! [B_z] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),B_z)),v_m____) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,axiom,( 5.20/5.23 class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,( 5.20/5.23 class_Rings_Olinordered__semiring(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(fact_real__mult__order,axiom,( 5.20/5.23 ! [V_y,V_x] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.23 => ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_zmult__assoc,axiom,( 5.20/5.23 ! [V_z3,V_z2,V_z1] : 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)) = 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) )). 5.20/5.23 5.20/5.23 fof(fact_mult__pos__neg,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.23 => ( ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_div__0,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( c_Divides_Odiv__class_Odiv(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.23 <= class_Divides_Osemiring__div(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,axiom,( 5.20/5.23 class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_nat__mult__less__cancel1,axiom,( 5.20/5.23 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) ) )). 5.20/5.23 5.20/5.23 fof(fact_power__inject__exp,axiom,( 5.20/5.23 ! [V_n_2,V_ma_2,V_a_2,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a_2) 5.20/5.23 => ( V_ma_2 = V_n_2 5.20/5.23 <=> hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_ma_2) ) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__le__mono,axiom,( 5.20/5.23 ! [V_l,V_k,V_j,V_i] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) 5.20/5.23 => 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)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) ) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,( 5.20/5.23 class_Rings_Oordered__semiring(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(fact_not__one__le__zero,axiom,( 5.20/5.23 ! [T_a] : 5.20/5.23 ( ~ c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact__0960_A_060_061_Aabs_A_Ir_A_K_Am_J_096,axiom,( 5.20/5.23 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))) )). 5.20/5.23 5.20/5.23 fof(fact_zero__less__zpower__abs__iff,axiom,( 5.20/5.23 ! [V_n_2,V_x_2] : 5.20/5.23 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.23 | V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x_2)),V_n_2)) ) )). 5.20/5.23 5.20/5.23 fof(fact_poly__mult,axiom,( 5.20/5.23 ! [V_x,V_q,V_p,T_a] : 5.20/5.23 ( class_Rings_Ocomm__semiring__0(T_a) 5.20/5.23 => 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)) ) )). 5.20/5.23 5.20/5.23 fof(fact_sgn__zero__iff,axiom,( 5.20/5.23 ! [V_x_2,T_a] : 5.20/5.23 ( ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 5.20/5.23 <=> c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Osgn__class_Osgn(T_a,V_x_2) ) 5.20/5.23 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_le__add1,axiom,( 5.20/5.23 ! [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)) )). 5.20/5.23 5.20/5.23 fof(fact_diff__Suc__diff__eq1,axiom,( 5.20/5.23 ! [V_m,V_j,V_k] : 5.20/5.23 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),c_Nat_OSuc(V_j)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k))) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) ) )). 5.20/5.23 5.20/5.23 fof(fact_power_Opower_Opower__0,axiom,( 5.20/5.23 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 )). 5.20/5.23 5.20/5.23 fof(fact_nat__le__linear,axiom,( 5.20/5.23 ! [V_n,V_m] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.23 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Groups_Ouminus,axiom,( 5.20/5.23 class_Groups_Ouminus(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(fact_less__irrefl__nat,axiom,( 5.20/5.23 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) )). 5.20/5.23 5.20/5.23 fof(fact_sgn__real__def,axiom,( 5.20/5.23 ! [V_a] : 5.20/5.23 ( ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) 5.20/5.23 <= c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = V_a ) 5.20/5.23 & ( ( ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_a) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) ) 5.20/5.23 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) 5.20/5.23 => 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)) ) ) 5.20/5.23 <= c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != V_a ) ) )). 5.20/5.23 5.20/5.23 fof(fact_self__quotient__aux1,axiom,( 5.20/5.23 ! [V_q,V_r,V_a] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) 5.20/5.23 => ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) = V_a 5.20/5.23 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_a) 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_q) ) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_ab__diff__minus,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) 5.20/5.23 <= class_Groups_Oab__group__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_ln__gt__zero,axiom,( 5.20/5.23 ! [V_x] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) 5.20/5.23 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) ) )). 5.20/5.23 5.20/5.23 fof(fact_le__neq__implies__less,axiom,( 5.20/5.23 ! [V_n,V_m] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.23 => ( V_n != V_m 5.20/5.23 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_less__Suc__eq__0__disj,axiom,( 5.20/5.23 ! [V_n_2,V_ma_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) 5.20/5.23 <=> ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_ma_2 5.20/5.23 | ? [B_j] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_n_2) 5.20/5.23 & V_ma_2 = c_Nat_OSuc(B_j) ) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_abs__if,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,V_a) ) 5.20/5.23 & ( ~ c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 => V_a = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ) 5.20/5.23 <= class_Groups_Oabs__if(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult_Oprod__diff__prod,axiom,( 5.20/5.23 ! [V_b,V_a,V_y,V_x,T_a] : 5.20/5.23 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.23 => 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))) ) )). 5.20/5.23 5.20/5.23 fof(fact_real__of__nat__Suc,axiom,( 5.20/5.23 ! [V_n] : c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )). 5.20/5.23 5.20/5.23 fof(fact_norm__diff__ineq,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.23 => 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))) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__less__mono1,axiom,( 5.20/5.23 ! [V_k,V_j,V_i] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) 5.20/5.23 => ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_sum__squares__gt__zero__iff,axiom,( 5.20/5.23 ! [V_y_2,V_x_2,T_a] : 5.20/5.23 ( ( ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a) 5.20/5.23 | V_x_2 != c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.23 <=> 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))) ) 5.20/5.23 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Rings_Olinordered__semidom,axiom,( 5.20/5.23 class_Rings_Olinordered__semidom(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_xt1_I5_J,axiom,( 5.20/5.23 ! [V_x,V_y,T_a] : 5.20/5.23 ( class_Orderings_Oorder(T_a) 5.20/5.23 => ( ( V_y = V_x 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_le__funE,axiom,( 5.20/5.23 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : 5.20/5.23 ( class_Orderings_Oord(T_b) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_z3div__def,axiom,( 5.20/5.23 ! [V_k,V_l] : 5.20/5.23 ( ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_k,V_l) = c_SMT_Oz3div(V_k,V_l) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_l) ) 5.20/5.23 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_l) 5.20/5.23 => c_SMT_Oz3div(V_k,V_l) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_k,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_l))) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_natceiling__zero,axiom,( 5.20/5.23 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )). 5.20/5.23 5.20/5.23 fof(fact_divisors__zero,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( ( ( c_Groups_Ozero__class_Ozero(T_a) = V_b 5.20/5.23 | V_a = c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.23 <= c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) 5.20/5.23 <= class_Rings_Ono__zero__divisors(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_less__add__iff1,axiom,( 5.20/5.23 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : 5.20/5.23 ( class_Rings_Oordered__ring(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2)),V_e_2),V_ca_2),V_d_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__less__le__mono,axiom,( 5.20/5.23 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.23 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) 5.20/5.23 => ( ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_abs__triangle__ineq2,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) 5.20/5.23 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_neg__equal__zero,axiom,( 5.20/5.23 ! [V_a_2,T_a] : 5.20/5.23 ( ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) 5.20/5.23 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.23 <= class_Groups_Olinordered__ab__group__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,( 5.20/5.23 class_Rings_Olinordered__semiring(tc_Nat_Onat) )). 5.20/5.23 5.20/5.23 fof(fact_diff__add__assoc2,axiom,( 5.20/5.23 ! [V_i,V_j,V_k] : 5.20/5.23 ( 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) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) ) )). 5.20/5.23 5.20/5.23 fof(fact_pos__add__strict,axiom,( 5.20/5.23 ! [V_c,V_b,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) 5.20/5.23 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__commute,axiom,( 5.20/5.23 ! [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) )). 5.20/5.23 5.20/5.23 fof(fact_sgn__neg,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__idom(T_a) 5.20/5.23 => ( c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_not__add__less2,axiom,( 5.20/5.23 ! [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) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,( 5.20/5.23 class_Rings_Olinordered__semidom(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(fact_gr0__conv__Suc,axiom,( 5.20/5.23 ! [V_n_2] : 5.20/5.23 ( ? [B_m] : c_Nat_OSuc(B_m) = V_n_2 5.20/5.23 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) )). 5.20/5.23 5.20/5.23 fof(fact_ord__le__eq__trans,axiom,( 5.20/5.23 ! [V_c,V_b,V_a,T_a] : 5.20/5.23 ( ( ( V_b = V_c 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_c) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) 5.20/5.23 <= class_Orderings_Oord(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,axiom,( 5.20/5.23 ! [T_1] : 5.20/5.23 ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) 5.20/5.23 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__scale__eq__noteq,axiom,( 5.20/5.23 ! [V_d,V_c,V_b,V_a,V_r,T_a] : 5.20/5.23 ( ( ( c_Groups_Oplus__class_Oplus(T_a,V_b,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) != c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) 5.20/5.23 <= ( V_a = V_b 5.20/5.23 & V_c != V_d ) ) 5.20/5.23 <= c_Groups_Ozero__class_Ozero(T_a) != V_r ) 5.20/5.23 <= class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__less__imp__less__right,axiom,( 5.20/5.23 ! [V_b,V_c,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) 5.20/5.23 <= 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)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_Suc__lessI,axiom,( 5.20/5.23 ! [V_n,V_m] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.23 => ( c_Nat_OSuc(V_m) != V_n 5.20/5.23 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_abs__add__one__gt__zero,axiom,( 5.20/5.23 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_x))) )). 5.20/5.23 5.20/5.23 fof(fact_add__less__cancel__right,axiom,( 5.20/5.23 ! [V_b_2,V_ca_2,V_a_2,T_a] : 5.20/5.23 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__1,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) 5.20/5.23 <= class_Groups_Ocomm__monoid__mult(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__eq__diff__eq,axiom,( 5.20/5.23 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : 5.20/5.23 ( ( ( V_d_2 = V_ca_2 5.20/5.23 <=> V_a_2 = V_b_2 ) 5.20/5.23 <= c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) = c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) ) 5.20/5.23 <= class_Groups_Oab__group__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_Polynomial__Opoly__Orderings_Opreorder,axiom,( 5.20/5.23 ! [T_1] : 5.20/5.23 ( class_Orderings_Opreorder(tc_Polynomial_Opoly(T_1)) 5.20/5.23 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.23 5.20/5.23 fof(fact_zdiv__mono2__neg,axiom,( 5.20/5.23 ! [V_b,V_b_H,V_a] : 5.20/5.23 ( ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )). 5.20/5.23 5.20/5.23 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,( 5.20/5.23 ! [V_c,V_b,V_a,T_a] : 5.20/5.23 ( class_Groups_Oab__semigroup__mult(T_a) 5.20/5.23 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) )). 5.20/5.23 5.20/5.23 fof(fact_abs__le__zero__iff,axiom,( 5.20/5.23 ! [V_a_2,T_a] : 5.20/5.23 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,( 5.20/5.23 ! [V_a,V_m,T_a] : 5.20/5.23 ( 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) 5.20/5.23 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__strict__increasing2,axiom,( 5.20/5.23 ! [V_c,V_b,V_a,T_a] : 5.20/5.23 ( class_Groups_Oordered__comm__monoid__add(T_a) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) 5.20/5.23 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,( 5.20/5.23 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)) )). 5.20/5.23 5.20/5.23 fof(fact_poly__rec__0,axiom,( 5.20/5.23 ! [T_a,V_z_2,V_f_2,T_b] : 5.20/5.23 ( ( c_Polynomial_Opoly__rec(T_a,T_b,V_z_2,V_f_2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))) = V_z_2 5.20/5.23 <= V_z_2 = hAPP(hAPP(hAPP(V_f_2,c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z_2) ) 5.20/5.23 <= class_Groups_Ozero(T_b) ) )). 5.20/5.23 5.20/5.23 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,axiom,( 5.20/5.23 ! [T_1] : 5.20/5.23 ( class_Rings_Ocomm__semiring__0(T_1) 5.20/5.23 => class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.23 5.20/5.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,( 5.20/5.23 ! [V_z,V_y,V_x,T_a] : 5.20/5.23 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.23 => 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),c_Groups_Oplus__class_Oplus(T_a,V_y,V_z)) ) )). 5.20/5.23 5.20/5.23 fof(fact_lemma__NBseq__def,axiom,( 5.20/5.23 ! [V_X_2,T_b] : 5.20/5.23 ( ( ? [B_N] : 5.20/5.23 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) 5.20/5.23 <=> ? [B_K] : 5.20/5.23 ( ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),B_K) 5.20/5.23 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) ) ) 5.20/5.23 <= class_RealVector_Oreal__normed__vector(T_b) ) )). 5.20/5.23 5.20/5.23 fof(fact_decr__lemma,axiom,( 5.20/5.23 ! [V_z,V_x,V_d] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_z)),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)),V_z) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__less__Suc,axiom,( 5.20/5.23 ! [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)) )). 5.20/5.23 5.20/5.23 fof(fact_mult__left__le__one__le,axiom,( 5.20/5.23 ! [V_y,V_x,T_a] : 5.20/5.23 ( class_Rings_Olinordered__idom(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x),V_x) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) ) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_n__less__m__mult__n,axiom,( 5.20/5.23 ! [V_m,V_n] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ) )). 5.20/5.23 5.20/5.23 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,( 5.20/5.23 class_Groups_Omonoid__mult(tc_Nat_Onat) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Groups_Ozero,axiom,( 5.20/5.23 class_Groups_Ozero(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_add__poly__code_I2_J,axiom,( 5.20/5.23 ! [V_p,T_a] : 5.20/5.23 ( V_p = c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) 5.20/5.23 <= class_Groups_Ocomm__monoid__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_HOL__Obool__Orderings_Oorder,axiom,( 5.20/5.23 class_Orderings_Oorder(tc_HOL_Obool) )). 5.20/5.23 5.20/5.23 fof(fact_real__add__le__0__iff,axiom,( 5.20/5.23 ! [V_y_2,V_x_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) 5.20/5.23 <=> 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)) ) )). 5.20/5.23 5.20/5.23 fof(fact_real__mult__le__cancel__iff2,axiom,( 5.20/5.23 ! [V_y_2,V_x_2,V_z_2] : 5.20/5.23 ( ( 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)) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z_2) ) )). 5.20/5.23 5.20/5.23 fof(fact_poly__power,axiom,( 5.20/5.23 ! [V_x,V_n,V_p,T_a] : 5.20/5.23 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.23 => 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) ) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,( 5.20/5.23 class_Groups_Omonoid__add(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(arity_fun__Groups_Ouminus,axiom,( 5.20/5.23 ! [T_2,T_1] : 5.20/5.23 ( class_Groups_Ouminus(tc_fun(T_2,T_1)) 5.20/5.23 <= class_Groups_Ouminus(T_1) ) )). 5.20/5.23 5.20/5.23 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one,axiom,( 5.20/5.23 class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) )). 5.20/5.23 5.20/5.23 fof(fact_neg__equal__0__iff__equal,axiom,( 5.20/5.23 ! [V_a_2,T_a] : 5.20/5.23 ( class_Groups_Ogroup__add(T_a) 5.20/5.23 => ( c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.23 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_ln__gt__zero__imp__gt__one,axiom,( 5.20/5.23 ! [V_x] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.23 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_Suc__le__mono,axiom,( 5.20/5.23 ! [V_ma_2,V_n_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),c_Nat_OSuc(V_ma_2)) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__left_Ominus,axiom,( 5.20/5.23 ! [V_y,V_x,T_a] : 5.20/5.23 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.23 => 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)) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__Suc__right,axiom,( 5.20/5.23 ! [V_n,V_m] : c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) )). 5.20/5.23 5.20/5.23 fof(fact_mult__neg__neg,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( ( ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.23 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.23 5.20/5.23 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,( 5.20/5.23 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )). 5.20/5.23 5.20/5.23 fof(fact_pCons,axiom,( 5.20/5.23 ? [B_m] : 5.20/5.23 ( ! [B_z] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),B_z)),B_m) ) 5.20/5.23 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_m) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__Suc__diff__eq2,axiom,( 5.20/5.23 ! [V_m,V_j,V_k] : 5.20/5.23 ( c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)),V_m) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_j),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_m)) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__nonneg__nonpos,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( class_Rings_Oordered__cancel__semiring(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 => 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)) ) ) ) )). 5.20/5.23 5.20/5.23 fof(arity_Polynomial__Opoly__Groups_Oabs__if,axiom,( 5.20/5.23 ! [T_1] : 5.20/5.23 ( class_Rings_Olinordered__idom(T_1) 5.20/5.23 => class_Groups_Oabs__if(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.23 5.20/5.23 fof(fact_Suc__diff__diff,axiom,( 5.20/5.23 ! [V_k,V_n,V_m] : c_Groups_Ominus__class_Ominus(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,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n),c_Nat_OSuc(V_k)) )). 5.20/5.23 5.20/5.23 fof(fact_not__one__less__zero,axiom,( 5.20/5.23 ! [T_a] : 5.20/5.23 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.23 => ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) )). 5.20/5.23 5.20/5.23 fof(fact_power__abs,axiom,( 5.20/5.23 ! [V_n,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__idom(T_a) 5.20/5.23 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),V_n) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring,axiom,( 5.20/5.23 class_Rings_Ocomm__semiring(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring,axiom,( 5.20/5.23 class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) )). 5.20/5.23 5.20/5.23 fof(fact_diff__diff__right,axiom,( 5.20/5.23 ! [V_i,V_j,V_k] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) 5.20/5.23 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_k),V_j) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j,V_k)) ) )). 5.20/5.23 5.20/5.23 fof(fact_norm__triangle__ineq3,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a),c_RealVector_Onorm__class_Onorm(T_a,V_b))),c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) 5.20/5.23 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_linorder__antisym__conv1,axiom,( 5.20/5.23 ! [V_y_2,V_x_2,T_a] : 5.20/5.23 ( class_Orderings_Olinorder(T_a) 5.20/5.23 => ( ( V_y_2 = V_x_2 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) ) 5.20/5.23 <= ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) ) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring,axiom,( 5.20/5.23 class_Rings_Olinordered__semiring(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_less__le__not__le,axiom,( 5.20/5.23 ! [V_y_2,V_x_2,T_a] : 5.20/5.23 ( class_Orderings_Opreorder(T_a) 5.20/5.23 => ( ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) 5.20/5.23 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) ) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_minus__poly__code_I1_J,axiom,( 5.20/5.23 ! [T_a] : 5.20/5.23 ( class_Groups_Oab__group__add(T_a) 5.20/5.23 => c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) )). 5.20/5.23 5.20/5.23 fof(fact_nat__less__add__iff2,axiom,( 5.20/5.23 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) 5.20/5.23 => ( 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)) 5.20/5.23 <=> 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)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_le__SucI,axiom,( 5.20/5.23 ! [V_n,V_m] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) ) )). 5.20/5.23 5.20/5.23 fof(fact_minus__nat_Odiff__0,axiom,( 5.20/5.23 ! [V_m] : V_m = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )). 5.20/5.23 5.20/5.23 fof(fact_power__one,axiom,( 5.20/5.23 ! [V_n,T_a] : 5.20/5.23 ( c_Groups_Oone__class_Oone(T_a) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) 5.20/5.23 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_less__eq__Suc__le,axiom,( 5.20/5.23 ! [V_ma_2,V_n_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n_2),V_ma_2) ) )). 5.20/5.23 5.20/5.23 fof(fact_nat__mult__eq__1__iff,axiom,( 5.20/5.23 ! [V_n_2,V_ma_2] : 5.20/5.23 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) 5.20/5.23 <=> ( V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) 5.20/5.23 & V_ma_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__0,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( 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) 5.20/5.23 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__less__cancel__left__pos,axiom,( 5.20/5.23 ! [V_b_2,V_a_2,V_ca_2,T_a] : 5.20/5.23 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) ) 5.20/5.23 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_nat__add__left__cancel,axiom,( 5.20/5.23 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.23 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2) 5.20/5.23 <=> V_ma_2 = V_n_2 ) )). 5.20/5.23 5.20/5.23 fof(fact_eq__add__iff1,axiom,( 5.20/5.23 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : 5.20/5.23 ( class_Rings_Oring(T_a) 5.20/5.23 => ( 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) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_ca_2) 5.20/5.23 <=> V_d_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_a_2,V_b_2)),V_e_2),V_ca_2) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_div__le__mono2,axiom,( 5.20/5.23 ! [V_k,V_n,V_m] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_n),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_k,V_m)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_realpow__Suc__le__self,axiom,( 5.20/5.23 ! [V_n,V_r,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_r) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_r,c_Groups_Oone__class_Oone(T_a)) 5.20/5.23 => c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_r),c_Nat_OSuc(V_n)),V_r) ) ) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,axiom,( 5.20/5.23 class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_nat_Oinject,axiom,( 5.20/5.23 ! [V_nat_H_2,V_nat_2] : 5.20/5.23 ( c_Nat_OSuc(V_nat_H_2) = c_Nat_OSuc(V_nat_2) 5.20/5.23 <=> V_nat_2 = V_nat_H_2 ) )). 5.20/5.23 5.20/5.23 fof(fact_real__mult__less__mono2,axiom,( 5.20/5.23 ! [V_y,V_x,V_z] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_z) 5.20/5.23 => ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,V_y) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_convex__bound__le,axiom,( 5.20/5.23 ! [V_v,V_u,V_y,V_a,V_x,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__1(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_a) 5.20/5.23 => ( ( ( c_Groups_Oone__class_Oone(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) 5.20/5.23 => 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) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) ) ) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__less__cancel__right__disj,axiom,( 5.20/5.23 ! [V_b_2,V_ca_2,V_a_2,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) 5.20/5.23 <=> ( ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) 5.20/5.23 & c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) ) 5.20/5.23 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.23 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) 5.20/5.23 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_left__add__mult__distrib,axiom,( 5.20/5.23 ! [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) )). 5.20/5.23 5.20/5.23 fof(fact_zle__trans,axiom,( 5.20/5.23 ! [V_k,V_j,V_i] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_k) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_j,V_k) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_coeff__minus,axiom,( 5.20/5.23 ! [V_n,V_p,T_a] : 5.20/5.23 ( hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_p)),V_n) = c_Groups_Ouminus__class_Ouminus(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n)) 5.20/5.23 <= class_Groups_Oab__group__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_add__diff__assoc2,axiom,( 5.20/5.23 ! [V_i,V_j,V_k] : 5.20/5.23 ( 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) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) ) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Rings_Ocomm__semiring__0,axiom,( 5.20/5.23 class_Rings_Ocomm__semiring__0(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(fact_mult_Obounded,axiom,( 5.20/5.23 ! [T_a] : 5.20/5.23 ( ? [B_K] : 5.20/5.23 ! [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)) 5.20/5.23 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_sgn__times,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__idom(T_a) 5.20/5.23 => 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)) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__eq__diff__less,axiom,( 5.20/5.23 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : 5.20/5.23 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.23 => ( c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) = c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,V_d_2) ) ) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Rings_Oordered__comm__semiring,axiom,( 5.20/5.23 class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Groups_Oone,axiom,( 5.20/5.23 class_Groups_Oone(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(arity_Complex__Ocomplex__Rings_Oidom,axiom,( 5.20/5.23 class_Rings_Oidom(tc_Complex_Ocomplex) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__0,axiom,( 5.20/5.23 class_Rings_Ocomm__semiring__0(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,( 5.20/5.23 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)) )). 5.20/5.23 5.20/5.23 fof(arity_Complex__Ocomplex__Rings_Osemiring__0,axiom,( 5.20/5.23 class_Rings_Osemiring__0(tc_Complex_Ocomplex) )). 5.20/5.23 5.20/5.23 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,axiom,( 5.20/5.23 class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) )). 5.20/5.23 5.20/5.23 fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,axiom,( 5.20/5.23 ! [T_1] : 5.20/5.23 ( class_Rings_Olinordered__idom(T_1) 5.20/5.23 => class_Rings_Olinordered__semiring__1__strict(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__pos__pos,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.23 => 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)) ) ) 5.20/5.23 <= class_Rings_Olinordered__semiring__strict(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_sgn__pos,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__idom(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.23 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_less__eq__poly__def,axiom,( 5.20/5.23 ! [V_y_2,V_x_2,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless__eq(tc_Polynomial_Opoly(T_a),V_x_2,V_y_2) 5.20/5.23 <=> ( c_Polynomial_Opos__poly(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_y_2,V_x_2)) 5.20/5.23 | V_y_2 = V_x_2 ) ) 5.20/5.23 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__less__imp__less__left,axiom,( 5.20/5.23 ! [V_b,V_a,V_c,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) 5.20/5.23 <= 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)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,( 5.20/5.23 ! [V_b_2,V_a_2] : 5.20/5.23 ( ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_2,V_a_2) 5.20/5.23 & c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) ) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2)) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a_2) ) )). 5.20/5.23 5.20/5.23 fof(fact_zero__neq__one,axiom,( 5.20/5.23 ! [T_a] : 5.20/5.23 ( class_Rings_Ozero__neq__one(T_a) 5.20/5.23 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_n__less__n__mult__m,axiom,( 5.20/5.23 ! [V_m,V_n] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) 5.20/5.23 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_power__less__imp__less__exp,axiom,( 5.20/5.23 ! [V_n,V_m,V_a,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.23 <= 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)) ) ) 5.20/5.23 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_compl__mono,axiom,( 5.20/5.23 ! [V_y,V_x,T_a] : 5.20/5.23 ( class_Lattices_Oboolean__algebra(T_a) 5.20/5.23 => ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) ) ) )). 5.20/5.23 5.20/5.23 fof(arity_Polynomial__Opoly__Groups_Osgn__if,axiom,( 5.20/5.23 ! [T_1] : 5.20/5.23 ( class_Groups_Osgn__if(tc_Polynomial_Opoly(T_1)) 5.20/5.23 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.23 5.20/5.23 fof(fact_minus__mult__left,axiom,( 5.20/5.23 ! [V_b,V_a,T_a] : 5.20/5.23 ( 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) 5.20/5.23 <= class_Rings_Oring(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__strict__right__mono__neg,axiom,( 5.20/5.23 ! [V_c,V_a,V_b,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) 5.20/5.23 => ( 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)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) ) ) 5.20/5.23 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_abs__ge__self,axiom,( 5.20/5.23 ! [V_a,T_a] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) 5.20/5.23 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_field__le__mult__one__interval,axiom,( 5.20/5.23 ! [V_y,V_x,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.20/5.23 <= ! [B_z] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),B_z) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x),V_y) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,B_z,c_Groups_Oone__class_Oone(T_a)) ) ) ) 5.20/5.23 <= class_Fields_Olinordered__field__inverse__zero(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_Bseq__iff,axiom,( 5.20/5.23 ! [V_X_2,T_a] : 5.20/5.23 ( ( c_SEQ_OBseq(T_a,V_X_2) 5.20/5.23 <=> ? [B_N] : 5.20/5.23 ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) ) 5.20/5.23 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_zminus__zadd__distrib,axiom,( 5.20/5.23 ! [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)) )). 5.20/5.23 5.20/5.23 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,( 5.20/5.23 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )). 5.20/5.23 5.20/5.23 fof(fact_mult__less__le__imp__less,axiom,( 5.20/5.23 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.23 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.23 => 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)) ) ) ) 5.20/5.23 <= c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_mult__strict__mono_H,axiom,( 5.20/5.23 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.23 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.23 => 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)) ) ) ) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_less__add__iff2,axiom,( 5.20/5.23 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : 5.20/5.23 ( class_Rings_Oordered__ring(T_a) 5.20/5.23 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_a_2)),V_e_2),V_d_2)) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_diff__mult__distrib,axiom,( 5.20/5.23 ! [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)) )). 5.20/5.23 5.20/5.23 fof(fact_int__one__le__iff__zero__less,axiom,( 5.20/5.23 ! [V_z_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_z_2) 5.20/5.23 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z_2) ) )). 5.20/5.23 5.20/5.23 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,( 5.20/5.23 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )). 5.20/5.23 5.20/5.23 fof(fact_ln__one,axiom,( 5.20/5.23 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Transcendental_Oln(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )). 5.20/5.23 5.20/5.23 fof(fact_add__increasing2,axiom,( 5.20/5.23 ! [V_a,V_b,V_c,T_a] : 5.20/5.23 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.23 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) 5.20/5.23 <= c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) ) 5.20/5.23 <= class_Groups_Oordered__comm__monoid__add(T_a) ) )). 5.20/5.23 5.20/5.23 fof(fact_zdiv__zmult2__eq,axiom,( 5.20/5.23 ! [V_b,V_a,V_c] : 5.20/5.23 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),V_c) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) 5.20/5.23 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_c) ) )). 5.20/5.23 5.20/5.23 fof(fact_div__mult__mult1,axiom,( 5.20/5.23 ! [V_b,V_a,V_c,T_a] : 5.20/5.23 ( class_Divides_Osemiring__div(T_a) 5.20/5.23 => ( V_c != c_Groups_Ozero__class_Ozero(T_a) 5.20/5.23 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) ) ) )). 5.20/5.23 5.20/5.23 fof(fact_zero__less__diff,axiom,( 5.20/5.23 ! [V_ma_2,V_n_2] : 5.20/5.23 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.23 <=> 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)) ) )). 5.20/5.23 5.20/5.23 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,( 5.20/5.23 class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) )). 5.20/5.23 5.20/5.23 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( V_a = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_zadd__left__commute,axiom,( 5.20/5.24 ! [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)) )). 5.20/5.24 5.20/5.24 fof(fact_Deriv_Oadd__diff__add,axiom,( 5.20/5.24 ! [V_d,V_b,V_c,V_a,T_a] : 5.20/5.24 ( class_Groups_Oab__group__add(T_a) 5.20/5.24 => 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)) = 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)) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors,axiom,( 5.20/5.24 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_power__add,axiom,( 5.20/5.24 ! [V_n,V_m,V_a,T_a] : 5.20/5.24 ( class_Groups_Omonoid__mult(T_a) 5.20/5.24 => 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)) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Orderings_Opreorder,axiom,( 5.20/5.24 class_Orderings_Opreorder(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_not__real__square__gt__zero,axiom,( 5.20/5.24 ! [V_x_2] : 5.20/5.24 ( ~ 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)) 5.20/5.24 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = V_x_2 ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Osemiring,axiom,( 5.20/5.24 class_Rings_Osemiring(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Orderings_Oord,axiom,( 5.20/5.24 class_Orderings_Oord(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_minus__equation__iff,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( class_Groups_Ogroup__add(T_a) 5.20/5.24 => ( V_b_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) 5.20/5.24 <=> V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( class_Rings_Ocomm__ring__1(T_a) 5.20/5.24 => 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) = c_Groups_Ouminus__class_Ouminus(T_a,V_x) ) )). 5.20/5.24 5.20/5.24 fof(fact_le__0__eq,axiom,( 5.20/5.24 ! [V_n_2] : 5.20/5.24 ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) )). 5.20/5.24 5.20/5.24 fof(fact_div__neg__neg__trivial,axiom,( 5.20/5.24 ! [V_b,V_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_a) 5.20/5.24 => c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )). 5.20/5.24 5.20/5.24 fof(fact_zless__linear,axiom,( 5.20/5.24 ! [V_y,V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_x,V_y) 5.20/5.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint,V_y,V_x) 5.20/5.24 | V_x = V_y ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,( 5.20/5.24 class_Rings_Olinordered__ring__strict(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_ln__ge__zero__imp__ge__one,axiom,( 5.20/5.24 ! [V_x] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult_Ocomm__neutral,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) 5.20/5.24 <= class_Groups_Ocomm__monoid__mult(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_Suc__le__eq,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_ma_2),V_n_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_square__eq__iff,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( class_Rings_Oidom(T_a) 5.20/5.24 => ( ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) 5.20/5.24 | V_b_2 = V_a_2 ) 5.20/5.24 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__mult__eq__cancel__disj,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.24 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) 5.20/5.24 <=> ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_k_2 5.20/5.24 | V_ma_2 = V_n_2 ) ) )). 5.20/5.24 5.20/5.24 fof(fact_termination__basic__simps_I4_J,axiom,( 5.20/5.24 ! [V_y,V_z,V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_z) ) )). 5.20/5.24 5.20/5.24 fof(fact_div__neg__pos__less0,axiom,( 5.20/5.24 ! [V_b,V_a] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) 5.20/5.24 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_natfloor__mono,axiom,( 5.20/5.24 ! [V_y,V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_RComplete_Onatfloor(V_y)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) ) )). 5.20/5.24 5.20/5.24 fof(fact_coeff__diff,axiom,( 5.20/5.24 ! [V_n,V_q,V_p,T_a] : 5.20/5.24 ( hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) = c_Groups_Ominus__class_Ominus(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n),hAPP(c_Polynomial_Ocoeff(T_a,V_q),V_n)) 5.20/5.24 <= class_Groups_Oab__group__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_Zero__neq__Suc,axiom,( 5.20/5.24 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) )). 5.20/5.24 5.20/5.24 fof(fact_add__is__0,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.24 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.24 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_ma_2 ) ) )). 5.20/5.24 5.20/5.24 fof(fact_less__minus__iff,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Groups_Ozero,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Groups_Ozero(T_1) 5.20/5.24 => class_Groups_Ozero(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.24 5.20/5.24 fof(fact_order__antisym,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.20/5.24 => ( V_y = V_x 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) ) 5.20/5.24 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Rings_Oring__no__zero__divisors,axiom,( 5.20/5.24 class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Groups_Ominus,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Groups_Oab__group__add(T_1) 5.20/5.24 => class_Groups_Ominus(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.24 5.20/5.24 fof(fact_less__diff__conv,axiom,( 5.20/5.24 ! [V_k_2,V_j_2,V_i_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__neq__iff,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.24 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) 5.20/5.24 <=> V_ma_2 != V_n_2 ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__poly__def,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( class_Rings_Olinordered__idom(T_a) 5.20/5.24 => ( ( V_x = c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) 5.20/5.24 <= ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) ) 5.20/5.24 & ( c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) 5.20/5.24 => c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Oabs__class_Oabs(tc_Polynomial_Opoly(T_a),V_x) ) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_Complex__Ocomplex__Power_Opower,axiom,( 5.20/5.24 class_Power_Opower(tc_Complex_Ocomplex) )). 5.20/5.24 5.20/5.24 fof(fact_mult__le__0__iff,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) 5.20/5.24 | ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) ) ) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2),c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.24 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__norm__def,axiom,( 5.20/5.24 ! [V_r] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,V_r) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) 5.20/5.24 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_div__less__dividend,axiom,( 5.20/5.24 ! [V_m,V_n] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) 5.20/5.24 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_norm__eq__zero,axiom,( 5.20/5.24 ! [V_x_2,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.24 => ( c_RealVector_Onorm__class_Onorm(T_a,V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) 5.20/5.24 <=> c_Groups_Ozero__class_Ozero(T_a) = V_x_2 ) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__le__mono2,axiom,( 5.20/5.24 ! [V_k,V_j,V_i] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) 5.20/5.24 => 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)) ) )). 5.20/5.24 5.20/5.24 fof(arity_fun__Orderings_Oorder,axiom,( 5.20/5.24 ! [T_2,T_1] : 5.20/5.24 ( class_Orderings_Oorder(tc_fun(T_2,T_1)) 5.20/5.24 <= class_Orderings_Oorder(T_1) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Rings_Ono__zero__divisors,axiom,( 5.20/5.24 class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_nat__mult__eq__cancel1,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.24 ( ( V_n_2 = V_ma_2 5.20/5.24 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Int_Oring__char__0,axiom,( 5.20/5.24 class_Int_Oring__char__0(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Divides_Osemiring__div,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Fields_Ofield(T_1) 5.20/5.24 => class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__le__cancel__right,axiom,( 5.20/5.24 ! [V_b_2,V_ca_2,V_a_2,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ca_2),c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_ca_2)) ) 5.20/5.24 <= class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_div__by__0,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( class_Divides_Osemiring__div(T_a) 5.20/5.24 => c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_zadd__commute,axiom,( 5.20/5.24 ! [V_w,V_z] : c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w,V_z) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,V_w) )). 5.20/5.24 5.20/5.24 fof(fact_crossproduct__noteq,axiom,( 5.20/5.24 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : 5.20/5.24 ( ( c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) 5.20/5.24 <=> ( V_b_2 != V_a_2 5.20/5.24 & V_d_2 != V_ca_2 ) ) 5.20/5.24 <= class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Rings_Omult__zero,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Rings_Ocomm__semiring__0(T_1) 5.20/5.24 => class_Rings_Omult__zero(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.24 5.20/5.24 fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,axiom,( 5.20/5.24 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) )). 5.20/5.24 5.20/5.24 fof(fact_diff__int__def,axiom,( 5.20/5.24 ! [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) )). 5.20/5.24 5.20/5.24 fof(fact_reals__Archimedean6a,axiom,( 5.20/5.24 ! [V_r] : 5.20/5.24 ( ? [B_n] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_n))) 5.20/5.24 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,B_n),V_r) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r) ) )). 5.20/5.24 5.20/5.24 fof(fact_order__less__imp__not__less,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( class_Orderings_Opreorder(T_a) 5.20/5.24 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__right__mono,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( class_Groups_Oordered__ab__semigroup__add(T_a) 5.20/5.24 => ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_LIMSEQ__inverse__realpow__zero__lemma,axiom,( 5.20/5.24 ! [V_n,V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.24 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),V_x),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),V_n)) ) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,( 5.20/5.24 class_Rings_Ozero__neq__one(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_add__nonneg__pos,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( class_Groups_Oordered__comm__monoid__add(T_a) 5.20/5.24 => ( ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_div__mult__self1,axiom,( 5.20/5.24 ! [V_c,V_a,V_b,T_a] : 5.20/5.24 ( ( c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) = c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) 5.20/5.24 <= c_Groups_Ozero__class_Ozero(T_a) != V_b ) 5.20/5.24 <= class_Divides_Osemiring__div(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,( 5.20/5.24 class_Rings_Ono__zero__divisors(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_div__if,axiom,( 5.20/5.24 ! [V_m,V_n] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) 5.20/5.24 => ( ( c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)) 5.20/5.24 <= ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) 5.20/5.24 & ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.24 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) ) ) ) )). 5.20/5.24 5.20/5.24 fof(conj_0,conjecture,( 5.20/5.24 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))) )). 5.20/5.24 5.20/5.24 fof(fact_mult__0__right,axiom,( 5.20/5.24 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )). 5.20/5.24 5.20/5.24 fof(fact_q__pos__lemma,axiom,( 5.20/5.24 ! [V_r_H,V_q_H,V_b_H] : 5.20/5.24 ( 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)) 5.20/5.24 => ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_q_H) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__less__mono,axiom,( 5.20/5.24 ! [V_l,V_k,V_j,V_i] : 5.20/5.24 ( ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__left_Odiff,axiom,( 5.20/5.24 ! [V_ya,V_y,V_x,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.24 => 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)) ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__minus__add__cancel,axiom,( 5.20/5.24 ! [V_y,V_x] : c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_y))) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x))) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,( 5.20/5.24 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_poly__0,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( class_Rings_Ocomm__semiring__0(T_a) 5.20/5.24 => 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) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,( 5.20/5.24 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_mult__sgn__abs,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( class_Rings_Olinordered__idom(T_a) 5.20/5.24 => V_x = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),c_Groups_Oabs__class_Oabs(T_a,V_x)) ) )). 5.20/5.24 5.20/5.24 fof(fact_one__neq__zero,axiom,( 5.20/5.24 ! [T_a] : 5.20/5.24 ( c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) 5.20/5.24 <= class_Rings_Ozero__neq__one(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__is__0,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_ma_2 5.20/5.24 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n_2 ) 5.20/5.24 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) ) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Rings_Oidom(T_1) 5.20/5.24 => class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Rings_Ozero__neq__one,axiom,( 5.20/5.24 class_Rings_Ozero__neq__one(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_linorder__cases,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( ( ( V_y != V_x 5.20/5.24 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) 5.20/5.24 <= ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) 5.20/5.24 <= class_Orderings_Olinorder(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Groups_Omonoid__add,axiom,( 5.20/5.24 class_Groups_Omonoid__add(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_real__of__nat__power,axiom,( 5.20/5.24 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) )). 5.20/5.24 5.20/5.24 fof(fact_BseqD,axiom,( 5.20/5.24 ! [V_X_2,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.24 => ( ? [B_K] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) 5.20/5.24 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),B_K) ) 5.20/5.24 <= c_SEQ_OBseq(T_a,V_X_2) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_int__val__lemma,axiom,( 5.20/5.24 ! [V_k_2,V_f_2,V_n_2] : 5.20/5.24 ( ! [B_i] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(V_f_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_i,c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(V_f_2,B_i))),c_Groups_Oone__class_Oone(tc_Int_Oint)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_i,V_n_2) ) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2) 5.20/5.24 => ( ? [B_i] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,V_n_2) 5.20/5.24 & V_k_2 = hAPP(V_f_2,B_i) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_k_2,hAPP(V_f_2,V_n_2)) ) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,( 5.20/5.24 class_Groups_Ocomm__monoid__add(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_plus__nat_Oadd__0,axiom,( 5.20/5.24 ! [V_n] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) = V_n )). 5.20/5.24 5.20/5.24 fof(fact_div__mult__self2,axiom,( 5.20/5.24 ! [V_c,V_a,V_b,T_a] : 5.20/5.24 ( class_Divides_Osemiring__div(T_a) 5.20/5.24 => ( c_Groups_Ozero__class_Ozero(T_a) != V_b 5.20/5.24 => c_Groups_Oplus__class_Oplus(T_a,V_c,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b)) = c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,( 5.20/5.24 class_Rings_Oordered__comm__semiring(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,( 5.20/5.24 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_div__geq,axiom,( 5.20/5.24 ! [V_m,V_n] : 5.20/5.24 ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.24 => c_Nat_OSuc(c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__less__cases,axiom,( 5.20/5.24 ! [V_P_2,V_n_2,V_ma_2] : 5.20/5.24 ( ( hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) 5.20/5.24 => ( ( hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) 5.20/5.24 <= V_ma_2 = V_n_2 ) 5.20/5.24 => ( hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) 5.20/5.24 <= ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) 5.20/5.24 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_ma_2)) ) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_natfloor__eq,axiom,( 5.20/5.24 ! [V_x,V_n] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),V_x) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) 5.20/5.24 => c_RComplete_Onatfloor(V_x) = V_n ) ) )). 5.20/5.24 5.20/5.24 fof(fact_incseq__def,axiom,( 5.20/5.24 ! [V_X_2,T_a] : 5.20/5.24 ( ( c_SEQ_Oincseq(T_a,V_X_2) 5.20/5.24 <=> ! [B_m,B_n] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(V_X_2,B_m),hAPP(V_X_2,B_n)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_m,B_n) ) ) 5.20/5.24 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_add1__zle__eq,axiom,( 5.20/5.24 ! [V_z_2,V_w_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_w_2,c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat_Osimps_I2_J,axiom,( 5.20/5.24 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_nat_H) )). 5.20/5.24 5.20/5.24 fof(fact_le__antisym,axiom,( 5.20/5.24 ! [V_n,V_m] : 5.20/5.24 ( ( V_m = V_n 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.24 5.20/5.24 fof(fact_le__minus__iff,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2)) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) 5.20/5.24 <= class_Groups_Oordered__ab__group__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__less__def,axiom,( 5.20/5.24 ! [V_y_2,V_x_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) 5.20/5.24 & V_x_2 != V_y_2 ) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_complex__diff__def,axiom,( 5.20/5.24 ! [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)) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add,axiom,( 5.20/5.24 class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_nat__less__le,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.24 & V_ma_2 != V_n_2 ) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__power__minus,axiom,( 5.20/5.24 ! [V_n,V_a,T_a] : 5.20/5.24 ( class_Rings_Olinordered__idom(T_a) 5.20/5.24 => c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a)),V_n)) = c_Groups_Oabs__class_Oabs(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Orderings_Oorder,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Orderings_Oorder(tc_Polynomial_Opoly(T_1)) 5.20/5.24 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.24 5.20/5.24 fof(fact_power__inject__base,axiom,( 5.20/5.24 ! [V_b,V_n,V_a,T_a] : 5.20/5.24 ( ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),c_Nat_OSuc(V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Nat_OSuc(V_n)) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.24 => ( V_b = V_a 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) ) 5.20/5.24 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_power__decreasing,axiom,( 5.20/5.24 ! [V_a,V_N,V_n,T_a] : 5.20/5.24 ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.24 => ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) ) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) ) 5.20/5.24 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_zero__less__abs__iff,axiom,( 5.20/5.24 ! [V_a_2,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a_2)) 5.20/5.24 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.24 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__minus__mult__self__le,axiom,( 5.20/5.24 ! [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)) )). 5.20/5.24 5.20/5.24 fof(fact_not__add__less1,axiom,( 5.20/5.24 ! [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) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,( 5.20/5.24 ! [V_b,V_m,V_a,T_a] : 5.20/5.24 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_m) = 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)) 5.20/5.24 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Rings_Oring,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Rings_Oring(tc_Polynomial_Opoly(T_1)) 5.20/5.24 <= class_Rings_Ocomm__ring(T_1) ) )). 5.20/5.24 5.20/5.24 fof(fact_le__diff__conv,axiom,( 5.20/5.24 ! [V_i_2,V_k_2,V_j_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2),V_i_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2)) ) )). 5.20/5.24 5.20/5.24 fof(fact_div__add__self2,axiom,( 5.20/5.24 ! [V_a,V_b,T_a] : 5.20/5.24 ( ( V_b != c_Groups_Ozero__class_Ozero(T_a) 5.20/5.24 => c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) = c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) ) 5.20/5.24 <= class_Divides_Osemiring__div(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_diff__0__eq__0,axiom,( 5.20/5.24 ! [V_n] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) )). 5.20/5.24 5.20/5.24 fof(fact_add__is__1,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( 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)) 5.20/5.24 <=> ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_ma_2 5.20/5.24 & c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n_2 ) 5.20/5.24 | ( V_ma_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) 5.20/5.24 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__nonpos__nonpos,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( class_Rings_Oordered__ring(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 => 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)) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_neg__less__nonneg,axiom,( 5.20/5.24 ! [V_a_2,T_a] : 5.20/5.24 ( class_Groups_Olinordered__ab__group__add(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_not__sum__squares__lt__zero,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( ~ 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)) 5.20/5.24 <= class_Rings_Olinordered__ring(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__1__eq__mult__iff,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( ( V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) 5.20/5.24 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = V_ma_2 ) 5.20/5.24 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,( 5.20/5.24 class_Rings_Olinordered__ring(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_less__SucI,axiom,( 5.20/5.24 ! [V_n,V_m] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__of__nat__1,axiom,( 5.20/5.24 c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_add__left__imp__eq,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( ( c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) 5.20/5.24 => V_b = V_c ) 5.20/5.24 <= class_Groups_Ocancel__semigroup__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,( 5.20/5.24 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,( 5.20/5.24 ! [V_m,T_a] : 5.20/5.24 ( 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) 5.20/5.24 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__real__def,axiom,( 5.20/5.24 ! [V_a] : 5.20/5.24 ( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) = V_a 5.20/5.24 <= ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) 5.20/5.24 & ( c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_a) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_a,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__le__antisym,axiom,( 5.20/5.24 ! [V_w,V_z] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_z,V_w) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_w,V_z) 5.20/5.24 => V_z = V_w ) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__zero__less__power__iff,axiom,( 5.20/5.24 ! [V_n_2,V_x_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) 5.20/5.24 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n_2 ) 5.20/5.24 <=> 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)) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,( 5.20/5.24 class_Rings_Olinordered__semiring__1(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_Suc__leI,axiom,( 5.20/5.24 ! [V_n,V_m] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.24 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) )). 5.20/5.24 5.20/5.24 fof(fact_zpower__zadd__distrib,axiom,( 5.20/5.24 ! [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)) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Orderings_Oord,axiom,( 5.20/5.24 class_Orderings_Oord(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,( 5.20/5.24 class_Rings_Osemiring__0(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.24 => 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) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__Suc__right,axiom,( 5.20/5.24 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,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_m),c_Nat_OSuc(V_n)) )). 5.20/5.24 5.20/5.24 fof(fact_order__less__le,axiom,( 5.20/5.24 ! [V_y_2,V_x_2,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) 5.20/5.24 <=> ( V_x_2 != V_y_2 5.20/5.24 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) ) ) 5.20/5.24 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( c_Groups_Oplus__class_Oplus(T_a,V_x,c_Groups_Ouminus__class_Ouminus(T_a,V_y)) = c_Groups_Ominus__class_Ominus(T_a,V_x,V_y) 5.20/5.24 <= class_Rings_Ocomm__ring__1(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__right__le__one__le,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( class_Rings_Olinordered__idom(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y),V_x) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,V_y,c_Groups_Oone__class_Oone(T_a)) ) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_power__real__of__nat,axiom,( 5.20/5.24 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_m)),V_n) = c_RealDef_Oreal(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) )). 5.20/5.24 5.20/5.24 fof(fact_mult__right_Ozero,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( 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) 5.20/5.24 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_equation__minus__iff,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) 5.20/5.24 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) = V_b_2 ) 5.20/5.24 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__strict__left__mono__neg,axiom,( 5.20/5.24 ! [V_c,V_a,V_b,T_a] : 5.20/5.24 ( ( ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,V_b,V_a) ) 5.20/5.24 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_linorder__le__cases,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( ( ~ c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.20/5.24 => c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) ) 5.20/5.24 <= class_Orderings_Olinorder(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,( 5.20/5.24 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_real__add__mult__distrib,axiom,( 5.20/5.24 ! [V_w,V_z2,V_z1] : 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_z1,V_z2)),V_w) )). 5.20/5.24 5.20/5.24 fof(fact_add__less__imp__less__right,axiom,( 5.20/5.24 ! [V_b,V_c,V_a,T_a] : 5.20/5.24 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.24 <= 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)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_zle__add1__eq__le,axiom,( 5.20/5.24 ! [V_z_2,V_w_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,V_z_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__left__mono,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.24 => ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) ) 5.20/5.24 <= class_Rings_Oordered__semiring(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_less__diff__iff,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.24 ( ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_k_2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n_2,V_k_2)) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_n_2) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_ma_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_not__less0,axiom,( 5.20/5.24 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )). 5.20/5.24 5.20/5.24 fof(fact_coeff__add,axiom,( 5.20/5.24 ! [V_n,V_q,V_p,T_a] : 5.20/5.24 ( class_Groups_Ocomm__monoid__add(T_a) 5.20/5.24 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)),V_n) = c_Groups_Oplus__class_Oplus(T_a,hAPP(c_Polynomial_Ocoeff(T_a,V_p),V_n),hAPP(c_Polynomial_Ocoeff(T_a,V_q),V_n)) ) )). 5.20/5.24 5.20/5.24 fof(fact_split__zdiv,axiom,( 5.20/5.24 ! [V_k_2,V_n_2,V_P_2] : 5.20/5.24 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_n_2,V_k_2))) 5.20/5.24 <=> ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.24 => ! [B_i] : 5.20/5.24 ( hBOOL(hAPP(V_P_2,B_i)) 5.20/5.24 <= ? [B_j] : 5.20/5.24 ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j) = V_n_2 5.20/5.24 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,B_j,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.24 & c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,B_j) ) ) ) 5.20/5.24 & ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) 5.20/5.24 => ! [B_i] : 5.20/5.24 ( hBOOL(hAPP(V_P_2,B_i)) 5.20/5.24 <= ? [B_j] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),B_j) 5.20/5.24 & c_Orderings_Oord__class_Oless(tc_Int_Oint,B_j,V_k_2) 5.20/5.24 & c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i),B_j) = V_n_2 ) ) ) 5.20/5.24 & ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = V_k_2 5.20/5.24 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_zero__less__two,axiom,( 5.20/5.24 ! [T_a] : 5.20/5.24 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.24 => 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))) ) )). 5.20/5.24 5.20/5.24 fof(fact_norm__triangle__ineq2,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.24 => 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))) ) )). 5.20/5.24 5.20/5.24 fof(fact_ln__mult,axiom,( 5.20/5.24 ! [V_y,V_x] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y) 5.20/5.24 => c_Transcendental_Oln(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_x),V_y)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),c_Transcendental_Oln(V_y)) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.20/5.24 5.20/5.24 fof(fact_power__less__power__Suc,axiom,( 5.20/5.24 ! [V_n,V_a,T_a] : 5.20/5.24 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.24 => ( 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))) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__nonneg__eq__0__iff,axiom,( 5.20/5.24 ! [V_y_2,V_x_2,T_a] : 5.20/5.24 ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_y_2) 5.20/5.24 => ( c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.24 <=> ( V_y_2 = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.24 & c_Groups_Ozero__class_Ozero(T_a) = V_x_2 ) ) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x_2) ) 5.20/5.24 <= class_Groups_Oordered__comm__monoid__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__left_Ononneg__bounded,axiom,( 5.20/5.24 ! [V_y,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.24 => ? [B_K] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) 5.20/5.24 & ! [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)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_norm__mult__less,axiom,( 5.20/5.24 ! [V_s,V_y,V_r,V_x,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.24 => ( ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_y),V_s) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_x),V_r) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,( 5.20/5.24 class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) )). 5.20/5.24 5.20/5.24 fof(fact_add__minus__cancel,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( V_b = 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)) 5.20/5.24 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__less__cancel1,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) 5.20/5.24 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) 5.20/5.24 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_power__Suc2,axiom,( 5.20/5.24 ! [V_n,V_a,T_a] : 5.20/5.24 ( 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) 5.20/5.24 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_tsub__eq,axiom,( 5.20/5.24 ! [V_x,V_y] : 5.20/5.24 ( c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_y) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_y,V_x) ) )). 5.20/5.24 5.20/5.24 fof(fact_zle__diff1__eq,axiom,( 5.20/5.24 ! [V_z_2,V_w_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w_2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z_2,c_Groups_Oone__class_Oone(tc_Int_Oint))) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w_2,V_z_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_power__0__left,axiom,( 5.20/5.24 ! [V_n,T_a] : 5.20/5.24 ( ( class_Rings_Osemiring__0(T_a) 5.20/5.24 & class_Power_Opower(T_a) ) 5.20/5.24 => ( ( 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) 5.20/5.24 <= c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n ) 5.20/5.24 & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != V_n 5.20/5.24 => 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) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_linorder__neqE,axiom,( 5.20/5.24 ! [V_y,V_x,T_a] : 5.20/5.24 ( class_Orderings_Olinorder(T_a) 5.20/5.24 => ( ( c_Orderings_Oord__class_Oless(T_a,V_y,V_x) 5.20/5.24 <= ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) 5.20/5.24 <= V_y != V_x ) ) )). 5.20/5.24 5.20/5.24 fof(fact_Nat_Odiff__diff__eq,axiom,( 5.20/5.24 ! [V_n,V_m,V_k] : 5.20/5.24 ( ( 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) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_n) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_m) ) )). 5.20/5.24 5.20/5.24 fof(fact_complex__mod__minus__le__complex__mod,axiom,( 5.20/5.24 ! [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)) )). 5.20/5.24 5.20/5.24 fof(fact_less__1__mult,axiom,( 5.20/5.24 ! [V_n,V_m,T_a] : 5.20/5.24 ( ( ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_n) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_m) ) 5.20/5.24 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_zadd__zmult__distrib2,axiom,( 5.20/5.24 ! [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)) )). 5.20/5.24 5.20/5.24 fof(arity_Complex__Ocomplex__Groups_Ominus,axiom,( 5.20/5.24 class_Groups_Ominus(tc_Complex_Ocomplex) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,( 5.20/5.24 class_Orderings_Opreorder(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_le__less__Suc__eq,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( ( V_n_2 = V_ma_2 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_divmod__int__rel__div__eq,axiom,( 5.20/5.24 ! [V_r_1,V_y,V_b_1,V_a_1] : 5.20/5.24 ( ( ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_1,V_b_1) 5.20/5.24 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_1) ) ) 5.20/5.24 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_1) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_1,V_r_1) 5.20/5.24 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r_1,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) 5.20/5.24 => ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_1,V_b_1) = V_y 5.20/5.24 <= c_Groups_Ozero__class_Ozero(tc_Int_Oint) != V_b_1 ) ) 5.20/5.24 <= c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y),V_r_1) = V_a_1 ) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,( 5.20/5.24 class_Orderings_Opreorder(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_xt1_I9_J,axiom,( 5.20/5.24 ! [V_a,V_b,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) 5.20/5.24 => ~ c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) 5.20/5.24 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,( 5.20/5.24 class_Rings_Ocomm__ring(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_div__mult2__eq,axiom,( 5.20/5.24 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,V_b),V_c) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) )). 5.20/5.24 5.20/5.24 fof(fact_termination__basic__simps_I1_J,axiom,( 5.20/5.24 ! [V_z,V_y,V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) 5.20/5.24 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(T_1)) 5.20/5.24 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,( 5.20/5.24 class_Orderings_Oorder(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,( 5.20/5.24 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.24 ( 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)) 5.20/5.24 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_pos__zmult__eq__1__iff,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( ( c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_ma_2),V_n_2) 5.20/5.24 <=> ( V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) 5.20/5.24 & c_Groups_Oone__class_Oone(tc_Int_Oint) = V_ma_2 ) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_ma_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__1__right,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a 5.20/5.24 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__diff__add__eq2,axiom,( 5.20/5.24 ! [V_n,V_m,V_u,V_j,V_i] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) 5.20/5.24 => 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)) = 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)) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__of__nat__le__iff,axiom,( 5.20/5.24 ! [V_ma_2,V_n_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n_2,V_ma_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)) ) )). 5.20/5.24 5.20/5.24 fof(fact_minus__diff__eq,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( 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) 5.20/5.24 <= class_Groups_Oab__group__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__imp__eq,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( ( V_b = V_c 5.20/5.24 <= c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) ) 5.20/5.24 <= class_Groups_Ocancel__ab__semigroup__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__diff__less__iff,axiom,( 5.20/5.24 ! [V_ra_2,V_a_2,V_x_2,T_a] : 5.20/5.24 ( class_Rings_Olinordered__idom(T_a) 5.20/5.24 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_ra_2),V_x_2) 5.20/5.24 & c_Orderings_Oord__class_Oless(T_a,V_x_2,c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ra_2)) ) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_x_2,V_a_2)),V_ra_2) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_neg__le__iff__le,axiom,( 5.20/5.24 ! [V_a_2,V_b_2,T_a] : 5.20/5.24 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__mult__1,axiom,( 5.20/5.24 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),V_z) = V_z )). 5.20/5.24 5.20/5.24 fof(fact_add__0,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( class_Groups_Ocomm__monoid__add(T_a) 5.20/5.24 => c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = V_a ) )). 5.20/5.24 5.20/5.24 fof(arity_HOL__Obool__Orderings_Oord,axiom,( 5.20/5.24 class_Orderings_Oord(tc_HOL_Obool) )). 5.20/5.24 5.20/5.24 fof(fact_nat__mult__le__cancel1,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_natceiling__neg,axiom,( 5.20/5.24 ! [V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) 5.20/5.24 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(V_x) ) )). 5.20/5.24 5.20/5.24 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,( 5.20/5.24 ! [V_a_2,T_a] : 5.20/5.24 ( class_Groups_Olinordered__ab__group__add(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_neg__0__less__iff__less,axiom,( 5.20/5.24 ! [V_a_2,T_a] : 5.20/5.24 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Rings_Osemiring,axiom,( 5.20/5.24 class_Rings_Osemiring(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Orderings_Oorder,axiom,( 5.20/5.24 class_Orderings_Oorder(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_add__eq__self__zero,axiom,( 5.20/5.24 ! [V_n,V_m] : 5.20/5.24 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) = V_m 5.20/5.24 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,( 5.20/5.24 class_Divides_Osemiring__div(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_abs__zmult__eq__1,axiom,( 5.20/5.24 ! [V_n,V_m] : 5.20/5.24 ( c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) 5.20/5.24 <= c_Groups_Oabs__class_Oabs(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__neg__nonpos,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 => ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) ) 5.20/5.24 <= class_Groups_Oordered__comm__monoid__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult_Oadd__left,axiom,( 5.20/5.24 ! [V_b,V_a_H,V_a,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.24 => 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_a_H)),V_b) ) )). 5.20/5.24 5.20/5.24 fof(fact_zminus__zminus,axiom,( 5.20/5.24 ! [V_z] : c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z)) = V_z )). 5.20/5.24 5.20/5.24 fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,( 5.20/5.24 class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) )). 5.20/5.24 5.20/5.24 fof(fact_zero__reorient,axiom,( 5.20/5.24 ! [V_x_2,T_a] : 5.20/5.24 ( class_Groups_Ozero(T_a) 5.20/5.24 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2 5.20/5.24 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,axiom,( 5.20/5.24 class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_diff__diff__left,axiom,( 5.20/5.24 ! [V_k,V_j,V_i] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_k)) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_i,V_j),V_k) )). 5.20/5.24 5.20/5.24 fof(fact_right__minus__eq,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( ( V_b_2 = V_a_2 5.20/5.24 <=> c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) ) 5.20/5.24 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_minus__zero,axiom,( 5.20/5.24 ! [T_a] : 5.20/5.24 ( class_Groups_Ogroup__add(T_a) 5.20/5.24 => c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) )). 5.20/5.24 5.20/5.24 fof(fact_power_Opower_Opower__Suc,axiom,( 5.20/5.24 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Nat_OSuc(V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),V_n_2)) )). 5.20/5.24 5.20/5.24 fof(fact_power__less__imp__less__base,axiom,( 5.20/5.24 ! [V_b,V_n,V_a,T_a] : 5.20/5.24 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.24 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.24 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) 5.20/5.24 <= 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)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_Suc__inject,axiom,( 5.20/5.24 ! [V_y,V_x] : 5.20/5.24 ( c_Nat_OSuc(V_x) = c_Nat_OSuc(V_y) 5.20/5.24 => V_y = V_x ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__mult__div__cancel1,axiom,( 5.20/5.24 ! [V_n,V_m,V_k] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) 5.20/5.24 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.24 5.20/5.24 fof(fact_diff__mult__distrib2,axiom,( 5.20/5.24 ! [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)) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) )). 5.20/5.24 5.20/5.24 fof(fact_sgn0,axiom,( 5.20/5.24 ! [T_a] : 5.20/5.24 ( class_Groups_Osgn__if(T_a) 5.20/5.24 => c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) )). 5.20/5.24 5.20/5.24 fof(fact_Suc__diff__1,axiom,( 5.20/5.24 ! [V_n] : 5.20/5.24 ( V_n = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) )). 5.20/5.24 5.20/5.24 fof(fact_diff__le__self,axiom,( 5.20/5.24 ! [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) )). 5.20/5.24 5.20/5.24 fof(fact_natfloor__neg,axiom,( 5.20/5.24 ! [V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) 5.20/5.24 => c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatfloor(V_x) ) )). 5.20/5.24 5.20/5.24 fof(fact_zero__le__power__abs,axiom,( 5.20/5.24 ! [V_n,V_a,T_a] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),V_n)) 5.20/5.24 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult_Ominus__right,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.24 => 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)) ) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,( 5.20/5.24 ! [V_ry,V_rx,V_ly,V_lx,T_a] : 5.20/5.24 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.24 => 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)) = 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)) ) )). 5.20/5.24 5.20/5.24 fof(arity_fun__Groups_Ominus,axiom,( 5.20/5.24 ! [T_2,T_1] : 5.20/5.24 ( class_Groups_Ominus(T_1) 5.20/5.24 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__left_Oadd,axiom,( 5.20/5.24 ! [V_ya,V_y,V_x,T_a] : 5.20/5.24 ( 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)) 5.20/5.24 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult_Opos__bounded,axiom,( 5.20/5.24 ! [T_a] : 5.20/5.24 ( ? [B_K] : 5.20/5.24 ( ! [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)) 5.20/5.24 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) ) 5.20/5.24 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_le__imp__diff__is__add,axiom,( 5.20/5.24 ! [V_k_2,V_j_2,V_i_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) 5.20/5.24 => ( V_j_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_i_2) 5.20/5.24 <=> c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_i_2) = V_k_2 ) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__nonneg__nonneg,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.24 => 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)) ) ) 5.20/5.24 <= class_Rings_Oordered__cancel__semiring(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__0__less__mult__iff,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( 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)) 5.20/5.24 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) 5.20/5.24 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_expand__poly__eq,axiom,( 5.20/5.24 ! [V_q_2,V_pa_2,T_a] : 5.20/5.24 ( ( V_q_2 = V_pa_2 5.20/5.24 <=> ! [B_n] : hAPP(c_Polynomial_Ocoeff(T_a,V_q_2),B_n) = hAPP(c_Polynomial_Ocoeff(T_a,V_pa_2),B_n) ) 5.20/5.24 <= class_Groups_Ozero(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_termination__basic__simps_I3_J,axiom,( 5.20/5.24 ! [V_z,V_y,V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) 5.20/5.24 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_y,V_z)) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__strict__right__mono,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.24 => 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)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_ln__gt__zero__iff,axiom,( 5.20/5.24 ! [V_x_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x_2)) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) ) )). 5.20/5.24 5.20/5.24 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,( 5.20/5.24 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_zdiv__self,axiom,( 5.20/5.24 ! [V_a] : 5.20/5.24 ( c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) 5.20/5.24 <= V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) )). 5.20/5.24 5.20/5.24 fof(fact_less__or__eq__imp__le,axiom,( 5.20/5.24 ! [V_n,V_m] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.24 <= ( V_n = V_m 5.20/5.24 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_odd__less__0,axiom,( 5.20/5.24 ! [V_z_2] : 5.20/5.24 ( 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)) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__two__squares__add__zero__iff,axiom,( 5.20/5.24 ! [V_y_2,V_x_2] : 5.20/5.24 ( 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) 5.20/5.24 <=> ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) 5.20/5.24 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = V_x_2 ) ) )). 5.20/5.24 5.20/5.24 fof(fact_natfloor__real__of__nat,axiom,( 5.20/5.24 ! [V_n] : c_RComplete_Onatfloor(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n )). 5.20/5.24 5.20/5.24 fof(fact_nat_Osimps_I3_J,axiom,( 5.20/5.24 ! [V_nat_H_1] : c_Nat_OSuc(V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )). 5.20/5.24 5.20/5.24 fof(fact_add__right__cancel,axiom,( 5.20/5.24 ! [V_ca_2,V_a_2,V_b_2,T_a] : 5.20/5.24 ( ( c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2) = c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_a_2) 5.20/5.24 <=> V_ca_2 = V_b_2 ) 5.20/5.24 <= class_Groups_Ocancel__semigroup__add(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__less__cancel2,axiom,( 5.20/5.24 ! [V_n_2,V_k_2,V_ma_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) 5.20/5.24 & c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) 5.20/5.24 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)) ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__le__D1,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_coeff__0,axiom,( 5.20/5.24 ! [V_n,T_a] : 5.20/5.24 ( class_Groups_Ozero(T_a) 5.20/5.24 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_poly__diff,axiom,( 5.20/5.24 ! [V_x,V_q,V_p,T_a] : 5.20/5.24 ( class_Rings_Ocomm__ring(T_a) 5.20/5.24 => 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)) ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__triangle__ineq3,axiom,( 5.20/5.24 ! [V_b,V_a,T_a] : 5.20/5.24 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.24 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b))) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__gr__0,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( 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)) 5.20/5.24 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_ma_2) 5.20/5.24 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) ) ) )). 5.20/5.24 5.20/5.24 fof(arity_Complex__Ocomplex__Rings_Oring__1,axiom,( 5.20/5.24 class_Rings_Oring__1(tc_Complex_Ocomplex) )). 5.20/5.24 5.20/5.24 fof(fact_ex__least__nat__less,axiom,( 5.20/5.24 ! [V_n_2,V_P_2] : 5.20/5.24 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) 5.20/5.24 => ( ? [B_k] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_k,V_n_2) 5.20/5.24 & hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,B_k,c_Groups_Oone__class_Oone(tc_Nat_Onat)))) 5.20/5.24 & ! [B_i] : 5.20/5.24 ( ~ hBOOL(hAPP(V_P_2,B_i)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_i,B_k) ) ) 5.20/5.24 <= hBOOL(hAPP(V_P_2,V_n_2)) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_not__square__less__zero,axiom,( 5.20/5.24 ! [V_a,T_a] : 5.20/5.24 ( class_Rings_Olinordered__ring(T_a) 5.20/5.24 => ~ 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)) ) )). 5.20/5.24 5.20/5.24 fof(fact_eq__neg__iff__add__eq__0,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,T_a] : 5.20/5.24 ( class_Groups_Ogroup__add(T_a) 5.20/5.24 => ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) 5.20/5.24 <=> c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_gr0I,axiom,( 5.20/5.24 ! [V_n] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) 5.20/5.24 <= c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != V_n ) )). 5.20/5.24 5.20/5.24 fof(fact_Bseq__def,axiom,( 5.20/5.24 ! [V_X_2,T_a] : 5.20/5.24 ( ( c_SEQ_OBseq(T_a,V_X_2) 5.20/5.24 <=> ? [B_K] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) 5.20/5.24 & ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),B_K) ) ) 5.20/5.24 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__less__cancel__left__disj,axiom,( 5.20/5.24 ! [V_b_2,V_a_2,V_ca_2,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) 5.20/5.24 <=> ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) 5.20/5.24 & c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) 5.20/5.24 | ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.24 & c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) ) ) ) 5.20/5.24 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_natfloor__subtract,axiom,( 5.20/5.24 ! [V_x,V_a] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x) 5.20/5.24 => c_RComplete_Onatfloor(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,( 5.20/5.24 ! [V_ry,V_rx,V_lx,T_a] : 5.20/5.24 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.24 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),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_rx),V_ry)) ) )). 5.20/5.24 5.20/5.24 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,( 5.20/5.24 ! [V_y,V_x] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) 5.20/5.24 => 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)) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Fields_Ofield,axiom,( 5.20/5.24 class_Fields_Ofield(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(fact_ord__less__eq__trans,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( class_Orderings_Oord(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.24 => ( V_b = V_c 5.20/5.24 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_comm__mult__strict__left__mono,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( ( ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) 5.20/5.24 <= class_Rings_Olinordered__comm__semiring__strict(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_diff__Suc__1,axiom,( 5.20/5.24 ! [V_n] : V_n = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )). 5.20/5.24 5.20/5.24 fof(fact_ln__inj__iff,axiom,( 5.20/5.24 ! [V_y_2,V_x_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) 5.20/5.24 => ( V_x_2 = V_y_2 5.20/5.24 <=> c_Transcendental_Oln(V_x_2) = c_Transcendental_Oln(V_y_2) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_abs__one,axiom,( 5.20/5.24 ! [T_a] : 5.20/5.24 ( c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) 5.20/5.24 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_int__power__div__base,axiom,( 5.20/5.24 ! [V_k,V_m] : 5.20/5.24 ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m),V_k) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) ) )). 5.20/5.24 5.20/5.24 fof(fact_norm__not__less__zero,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( ~ 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)) 5.20/5.24 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__lessD1,axiom,( 5.20/5.24 ! [V_k,V_j,V_i] : 5.20/5.24 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i,V_j),V_k) 5.20/5.24 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_k) ) )). 5.20/5.24 5.20/5.24 fof(fact_natceiling__le,axiom,( 5.20/5.24 ! [V_a,V_x] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a)) ) )). 5.20/5.24 5.20/5.24 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,( 5.20/5.24 ! [V_ry,V_rx,V_ly,V_lx,T_a] : 5.20/5.24 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.24 => 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))) ) )). 5.20/5.24 5.20/5.24 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1,axiom,( 5.20/5.24 class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) )). 5.20/5.24 5.20/5.24 fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors,axiom,( 5.20/5.24 class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) )). 5.20/5.24 5.20/5.24 fof(fact_mult__right_Opos__bounded,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( ? [B_K] : 5.20/5.24 ( ! [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)) 5.20/5.24 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) ) 5.20/5.24 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__le__imp__le__right,axiom,( 5.20/5.24 ! [V_b,V_c,V_a,T_a] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.24 <= 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)) ) 5.20/5.24 <= class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_natceiling__le__eq__one,axiom,( 5.20/5.24 ! [V_x_2] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) )). 5.20/5.24 5.20/5.24 fof(fact_add__increasing,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( class_Groups_Oordered__comm__monoid__add(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_Suc__n__not__le__n,axiom,( 5.20/5.24 ! [V_n] : ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_n),V_n) )). 5.20/5.24 5.20/5.24 fof(arity_Polynomial__Opoly__Groups_Oone,axiom,( 5.20/5.24 ! [T_1] : 5.20/5.24 ( class_Rings_Ocomm__semiring__1(T_1) 5.20/5.24 => class_Groups_Oone(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.24 5.20/5.24 fof(fact_natfloor__power,axiom,( 5.20/5.24 ! [V_n,V_x] : 5.20/5.24 ( V_x = c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)) 5.20/5.24 => c_RComplete_Onatfloor(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)),V_n) ) )). 5.20/5.24 5.20/5.24 fof(fact_mult__strict__right__mono,axiom,( 5.20/5.24 ! [V_c,V_b,V_a,T_a] : 5.20/5.24 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.24 => ( ( 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)) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) 5.20/5.24 <= c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) )). 5.20/5.24 5.20/5.24 fof(fact__096_B_Bthesis_O_A_I_B_Bm_O_AALL_Az_O_Acmod_Az_A_060_061_Ar_A_N_N_062_Acmod_A_Ipoly_Acs_Az_J_A_060_061_Am_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,axiom,( 5.20/5.24 ~ ! [B_m] : 5.20/5.24 ~ ! [B_z] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_cs____),B_z)),B_m) 5.20/5.24 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,B_z),v_r) ) )). 5.20/5.24 5.20/5.24 fof(fact_order__refl,axiom,( 5.20/5.24 ! [V_x,T_a] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_x) 5.20/5.24 <= class_Orderings_Opreorder(T_a) ) )). 5.20/5.24 5.20/5.24 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,( 5.20/5.24 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )). 5.20/5.24 5.20/5.24 fof(fact_le__eq__less__or__eq,axiom,( 5.20/5.24 ! [V_n_2,V_ma_2] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.24 | V_ma_2 = V_n_2 ) 5.20/5.24 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.24 5.20/5.24 fof(fact_less__nat__zero__code,axiom,( 5.20/5.24 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )). 5.20/5.24 5.20/5.24 fof(fact_power__le__imp__le__exp,axiom,( 5.20/5.24 ! [V_n,V_m,V_a,T_a] : 5.20/5.24 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.24 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) 5.20/5.24 => ( 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)) 5.20/5.24 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) ) )). 5.20/5.24 5.20/5.24 fof(fact_nat__mult__div__cancel__disj,axiom,( 5.20/5.24 ! [V_n,V_m,V_k] : 5.20/5.24 ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != V_k 5.20/5.24 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ) 5.20/5.24 & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) 5.20/5.24 <= c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_k ) ) )). 5.20/5.24 5.20/5.24 fof(fact_real__natfloor__add__one__gt,axiom,( 5.20/5.24 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) )). 5.20/5.24 5.20/5.24 fof(fact_diff__add__0,axiom,( 5.20/5.24 ! [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) )). 5.20/5.24 5.20/5.24 fof(fact_less__antisym,axiom,( 5.20/5.24 ! [V_m,V_n] : 5.20/5.24 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,c_Nat_OSuc(V_m)) 5.20/5.24 => V_m = V_n ) 5.20/5.24 <= ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m) ) )). 5.20/5.24 5.20/5.24 fof(fact_norm__diff__triangle__ineq,axiom,( 5.20/5.24 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.24 ( 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)))) 5.20/5.24 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.24 5.20/5.24 fof(fact_zadd__zminus__inverse2,axiom,( 5.20/5.24 ! [V_z] : c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_z),V_z) )). 5.20/5.24 5.20/5.24 fof(fact_BseqI2_H,axiom,( 5.20/5.24 ! [V_K_2,V_X_2,V_N_2,T_a] : 5.20/5.24 ( ( c_SEQ_OBseq(T_a,V_X_2) 5.20/5.24 <= ! [B_n] : 5.20/5.24 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_N_2,B_n) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),V_K_2) ) ) 5.20/5.25 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_1) 5.20/5.25 => class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_less__fun__def,axiom,( 5.20/5.25 ! [V_g_2,V_f_2,T_a,T_b] : 5.20/5.25 ( ( ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) 5.20/5.25 & ~ c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_g_2,V_f_2) ) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b),V_f_2,V_g_2) ) 5.20/5.25 <= class_Orderings_Oord(T_b) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,( 5.20/5.25 class_Groups_Oab__semigroup__add(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_diff__less__mono,axiom,( 5.20/5.25 ! [V_c,V_b,V_a] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a,V_b) 5.20/5.25 => ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_c,V_a) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,( 5.20/5.25 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1)) 5.20/5.25 <= class_Rings_Ocomm__semiring__0(T_1) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__add__less__0__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2] : 5.20/5.25 ( 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)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_y_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2)) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) 5.20/5.25 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Rings_Ocomm__ring,axiom,( 5.20/5.25 class_Rings_Ocomm__ring(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_add__less__cancel__left,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,V_ca_2,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__poly__add__left,axiom,( 5.20/5.25 ! [V_r,V_q,V_p,T_a] : 5.20/5.25 ( 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)) = 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) 5.20/5.25 <= class_Rings_Ocomm__semiring__0(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,( 5.20/5.25 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_diff__def,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Ogroup__add(T_a) 5.20/5.25 => c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) = c_Groups_Ominus__class_Ominus(T_a,V_a,V_b) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,axiom,( 5.20/5.25 class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_power__eq__0__iff,axiom,( 5.20/5.25 ! [V_n_2,V_a_2,T_a] : 5.20/5.25 ( ( ( c_Groups_Ozero__class_Ozero(T_a) = V_a_2 5.20/5.25 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) 5.20/5.25 <=> hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.25 <= ( class_Rings_Omult__zero(T_a) 5.20/5.25 & class_Rings_Ozero__neq__one(T_a) 5.20/5.25 & class_Rings_Ono__zero__divisors(T_a) 5.20/5.25 & class_Power_Opower(T_a) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_norm__ge__zero,axiom,( 5.20/5.25 ! [V_x,T_a] : 5.20/5.25 ( 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)) 5.20/5.25 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__add__iff2,axiom,( 5.20/5.25 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] : 5.20/5.25 ( class_Rings_Oordered__ring(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2),V_ca_2),c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2),V_d_2)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_b_2,V_a_2)),V_e_2),V_d_2)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,( 5.20/5.25 ! [V_m,V_a,T_a] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.25 => 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) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Orderings_Olinorder,axiom,( 5.20/5.25 class_Orderings_Olinorder(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,( 5.20/5.25 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Rings_Ocomm__ring__1,axiom,( 5.20/5.25 class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_power__power__power,axiom,( 5.20/5.25 ! [T_a] : 5.20/5.25 ( class_Power_Opower(T_a) 5.20/5.25 => c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) = c_Power_Opower__class_Opower(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_zmult__commute,axiom,( 5.20/5.25 ! [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) )). 5.20/5.25 5.20/5.25 fof(fact_xt1_I3_J,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( class_Orderings_Oorder(T_a) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_b) ) 5.20/5.25 <= V_a = V_b ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,axiom,( 5.20/5.25 class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_sum__squares__le__zero__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( ( ( V_y_2 = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 & V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.25 <=> 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)) ) 5.20/5.25 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__right_Odiff,axiom,( 5.20/5.25 ! [V_y,V_x,V_xa,T_a] : 5.20/5.25 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.25 => 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_xa),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)) ) )). 5.20/5.25 5.20/5.25 fof(fact_linorder__le__less__linear,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( class_Orderings_Olinorder(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.20/5.25 | c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__cancel1,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2) 5.20/5.25 <=> ( V_n_2 = V_ma_2 5.20/5.25 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_k_2 ) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Groups_Oab__group__add,axiom,( 5.20/5.25 class_Groups_Oab__group__add(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_diff__int__def__symmetric,axiom,( 5.20/5.25 ! [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) )). 5.20/5.25 5.20/5.25 fof(fact_trans__le__add1,axiom,( 5.20/5.25 ! [V_m,V_j,V_i] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_j,V_m)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) ) )). 5.20/5.25 5.20/5.25 fof(fact_add__le__cancel__left,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,V_ca_2,T_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_a_2),c_Groups_Oplus__class_Oplus(T_a,V_ca_2,V_b_2)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) 5.20/5.25 <= class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,( 5.20/5.25 class_Groups_Oordered__ab__group__add(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_fun__Lattices_Oboolean__algebra,axiom,( 5.20/5.25 ! [T_2,T_1] : 5.20/5.25 ( class_Lattices_Oboolean__algebra(T_1) 5.20/5.25 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__SucE,axiom,( 5.20/5.25 ! [V_n,V_m] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) 5.20/5.25 => ( V_m = c_Nat_OSuc(V_n) 5.20/5.25 <= ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_sgn__1__neg,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 <=> c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) 5.20/5.25 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Fields_Ofield,axiom,( 5.20/5.25 class_Fields_Ofield(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__lessD,axiom,( 5.20/5.25 ! [V_n,V_m] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) 5.20/5.25 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.25 5.20/5.25 fof(fact_poly__div__minus__right,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_y)) 5.20/5.25 <= class_Fields_Ofield(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__of__nat__diff,axiom,( 5.20/5.25 ! [V_m,V_n] : 5.20/5.25 ( c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__eq__0,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 <=> c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oabs__class_Oabs(T_a,V_a_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__add__abs,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Nat__Onat__Groups_Oone,axiom,( 5.20/5.25 class_Groups_Oone(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_add__diff__cancel,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Ogroup__add(T_a) 5.20/5.25 => V_a = c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),V_b) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__eq__add__iff1,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) 5.20/5.25 => ( 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 5.20/5.25 <=> 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) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__of__nat__le__zero__cancel__iff,axiom,( 5.20/5.25 ! [V_n_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) 5.20/5.25 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n_2 ) )). 5.20/5.25 5.20/5.25 fof(fact_diff__self,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( c_Groups_Ominus__class_Ominus(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_power__gt1__lemma,axiom,( 5.20/5.25 ! [V_n,V_a,T_a] : 5.20/5.25 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.25 => ( 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))) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_natceiling__real__of__nat,axiom,( 5.20/5.25 ! [V_n] : c_RComplete_Onatceiling(c_RealDef_Oreal(tc_Nat_Onat,V_n)) = V_n )). 5.20/5.25 5.20/5.25 fof(fact_abs__ge__zero,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) 5.20/5.25 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_less__not__refl2,axiom,( 5.20/5.25 ! [V_m,V_n] : 5.20/5.25 ( V_m != V_n 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_m) ) )). 5.20/5.25 5.20/5.25 fof(fact_not__less__less__Suc__eq,axiom,( 5.20/5.25 ! [V_ma_2,V_n_2] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,c_Nat_OSuc(V_ma_2)) 5.20/5.25 <=> V_ma_2 = V_n_2 ) 5.20/5.25 <= ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_diff__eq__diff__less__eq,axiom,( 5.20/5.25 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] : 5.20/5.25 ( ( c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) = c_Groups_Ominus__class_Ominus(T_a,V_ca_2,V_d_2) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_ca_2,V_d_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) ) ) 5.20/5.25 <= class_Groups_Oordered__ab__group__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__add__left__mono,axiom,( 5.20/5.25 ! [V_z,V_y,V_x] : 5.20/5.25 ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) ) )). 5.20/5.25 5.20/5.25 fof(fact_odd__nonzero,axiom,( 5.20/5.25 ! [V_z] : c_Groups_Ozero__class_Ozero(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),V_z) )). 5.20/5.25 5.20/5.25 fof(fact_xt1_I4_J,axiom,( 5.20/5.25 ! [V_c,V_a,V_b,T_a] : 5.20/5.25 ( class_Orderings_Oorder(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_a) 5.20/5.25 <= V_b = V_c ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_sgn__greater,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_zero__le__natceiling,axiom,( 5.20/5.25 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatceiling(V_x)) )). 5.20/5.25 5.20/5.25 fof(fact_ord__eq__less__trans,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_b,V_c) 5.20/5.25 => c_Orderings_Oord__class_Oless(T_a,V_a,V_c) ) 5.20/5.25 <= V_b = V_a ) 5.20/5.25 <= class_Orderings_Oord(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,( 5.20/5.25 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_neg__equal__iff__equal,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,T_a] : 5.20/5.25 ( ( c_Groups_Ouminus__class_Ouminus(T_a,V_b_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) 5.20/5.25 <=> V_b_2 = V_a_2 ) 5.20/5.25 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__mult__1,axiom,( 5.20/5.25 ! [V_n] : V_n = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) )). 5.20/5.25 5.20/5.25 fof(fact_less__iff__diff__less__0,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,V_b_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_order__eq__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( class_Orderings_Oorder(T_a) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) 5.20/5.25 & c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) ) 5.20/5.25 <=> V_y_2 = V_x_2 ) ) )). 5.20/5.25 5.20/5.25 fof(fact_natceiling__subtract,axiom,( 5.20/5.25 ! [V_x,V_a] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a),V_x) 5.20/5.25 => c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) = c_RComplete_Onatceiling(c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__right__less__imp__less,axiom,( 5.20/5.25 ! [V_b,V_c,V_a,T_a] : 5.20/5.25 ( class_Rings_Olinordered__semiring(T_a) 5.20/5.25 => ( 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)) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.25 => c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,( 5.20/5.25 ! [V_n,V_x] : 5.20/5.25 ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_zless__le,axiom,( 5.20/5.25 ! [V_w_2,V_z_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z_2,V_w_2) 5.20/5.25 <=> ( V_z_2 != V_w_2 5.20/5.25 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z_2,V_w_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__right_Ononneg__bounded,axiom,( 5.20/5.25 ! [V_x,T_a] : 5.20/5.25 ( ? [B_K] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) 5.20/5.25 & ! [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)) ) 5.20/5.25 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__zero__not__eq__one,axiom,( 5.20/5.25 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Rings_Oordered__ring__abs,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_1) 5.20/5.25 => class_Rings_Oordered__ring__abs(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__of__nonneg,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( ( V_a = c_Groups_Oabs__class_Oabs(T_a,V_a) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) 5.20/5.25 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_self__quotient__aux2,axiom,( 5.20/5.25 ! [V_q,V_r,V_a] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) 5.20/5.25 => ( c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_r,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)) = V_a 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,c_Groups_Oone__class_Oone(tc_Int_Oint)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_sgn__0__0,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => ( c_Groups_Ozero__class_Ozero(T_a) = V_a_2 5.20/5.25 <=> c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Osgn__class_Osgn(T_a,V_a_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__fun__def,axiom,( 5.20/5.25 ! [V_g_2,V_f_2,T_a,T_b] : 5.20/5.25 ( class_Orderings_Oord(T_b) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) 5.20/5.25 <=> ! [B_x] : c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,B_x),hAPP(V_g_2,B_x)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__sgn__pos,axiom,( 5.20/5.25 ! [V_x] : 5.20/5.25 ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_int__0__neq__1,axiom,( 5.20/5.25 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_abs__triangle__ineq4,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b))) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1)) 5.20/5.25 <= class_Rings_Ocomm__semiring__1(T_1) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Oring__1,axiom,( 5.20/5.25 class_Rings_Oring__1(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Rings_Osemiring,axiom,( 5.20/5.25 class_Rings_Osemiring(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_zero__le__natfloor,axiom,( 5.20/5.25 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_RComplete_Onatfloor(V_x)) )). 5.20/5.25 5.20/5.25 fof(fact_abs__sum__triangle__ineq,axiom,( 5.20/5.25 ! [V_m,V_l,V_y,V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,V_y),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l),c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_l))),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_y,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_m))))) )). 5.20/5.25 5.20/5.25 fof(fact_lemma__NBseq__def2,axiom,( 5.20/5.25 ! [V_X_2,T_b] : 5.20/5.25 ( class_RealVector_Oreal__normed__vector(T_b) 5.20/5.25 => ( ? [B_N] : 5.20/5.25 ! [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) 5.20/5.25 <=> ? [B_K] : 5.20/5.25 ( ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_b,hAPP(V_X_2,B_n)),B_K) 5.20/5.25 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_K) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_diff__add__cancel,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( V_a = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b),V_b) 5.20/5.25 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,( 5.20/5.25 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Groups_Ocomm__monoid__add,axiom,( 5.20/5.25 class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_real__natfloor__gt__diff__one,axiom,( 5.20/5.25 ! [V_x] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatfloor(V_x))) )). 5.20/5.25 5.20/5.25 fof(fact_add__nonpos__neg,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( ( ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.25 <= class_Groups_Oordered__comm__monoid__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Power_Opower,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_1) 5.20/5.25 => class_Power_Opower(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Omonoid__mult,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Groups_Omonoid__mult(tc_Polynomial_Opoly(T_1)) 5.20/5.25 <= class_Rings_Ocomm__semiring__1(T_1) ) )). 5.20/5.25 5.20/5.25 fof(fact_pos__poly__add,axiom,( 5.20/5.25 ! [V_q,V_p,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => ( c_Polynomial_Opos__poly(T_a,V_p) 5.20/5.25 => ( c_Polynomial_Opos__poly(T_a,V_q) 5.20/5.25 => c_Polynomial_Opos__poly(T_a,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(T_a),V_p,V_q)) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__add__diff__inverse2,axiom,( 5.20/5.25 ! [V_m,V_n] : 5.20/5.25 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_n) = V_m 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__idem,axiom,( 5.20/5.25 ! [V_x,T_a] : 5.20/5.25 ( V_x = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) 5.20/5.25 <= class_Lattices_Oab__semigroup__idem__mult(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_neq0__conv,axiom,( 5.20/5.25 ! [V_n_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) 5.20/5.25 <=> c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != V_n_2 ) )). 5.20/5.25 5.20/5.25 fof(fact_xt1_I8_J,axiom,( 5.20/5.25 ! [V_z,V_x,V_y,T_a] : 5.20/5.25 ( class_Orderings_Oorder(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,V_z,V_x) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,V_z,V_y) ) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_fun__Orderings_Opreorder,axiom,( 5.20/5.25 ! [T_2,T_1] : 5.20/5.25 ( class_Orderings_Opreorder(T_1) 5.20/5.25 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__triangle__ineq2__sym,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_b)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a))) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( 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) 5.20/5.25 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_zdiv__mono2,axiom,( 5.20/5.25 ! [V_b,V_b_H,V_a] : 5.20/5.25 ( ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b_H)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__right__mono,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( class_Rings_Oordered__semiring(T_a) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.25 => 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)) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_div__mult__self1__is__id,axiom,( 5.20/5.25 ! [V_a,V_b,T_a] : 5.20/5.25 ( class_Divides_Osemiring__div(T_a) 5.20/5.25 => ( V_a = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) 5.20/5.25 <= c_Groups_Ozero__class_Ozero(T_a) != V_b ) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__nonpos__nonneg,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.25 => 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)) ) ) 5.20/5.25 <= class_Rings_Oordered__cancel__semiring(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_add__mult__distrib,axiom,( 5.20/5.25 ! [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)) )). 5.20/5.25 5.20/5.25 fof(fact_mult__left_Obounded,axiom,( 5.20/5.25 ! [V_y,T_a] : 5.20/5.25 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.25 => ? [B_K] : 5.20/5.25 ! [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)) ) )). 5.20/5.25 5.20/5.25 fof(fact_zsgn__def,axiom,( 5.20/5.25 ! [V_i] : 5.20/5.25 ( ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint) 5.20/5.25 => ( ( c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i) ) 5.20/5.25 & ( c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) 5.20/5.25 <= ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_i) ) ) ) 5.20/5.25 & ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint) 5.20/5.25 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Omonoid__add,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Groups_Ocomm__monoid__add(T_1) 5.20/5.25 => class_Groups_Omonoid__add(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_not__pos__poly__0,axiom,( 5.20/5.25 ! [T_a] : 5.20/5.25 ( ~ c_Polynomial_Opos__poly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) 5.20/5.25 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_ln__less__cancel__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x_2),c_Transcendental_Oln(V_y_2)) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__of__nat__inject,axiom,( 5.20/5.25 ! [V_ma_2,V_n_2] : 5.20/5.25 ( V_ma_2 = V_n_2 5.20/5.25 <=> c_RealDef_Oreal(tc_Nat_Onat,V_ma_2) = c_RealDef_Oreal(tc_Nat_Onat,V_n_2) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Power_Opower,axiom,( 5.20/5.25 class_Power_Opower(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_diff__add__inverse2,axiom,( 5.20/5.25 ! [V_n,V_m] : V_m = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n),V_n) )). 5.20/5.25 5.20/5.25 fof(fact_one__is__add,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2] : 5.20/5.25 ( 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) 5.20/5.25 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.25 & c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_ma_2 ) 5.20/5.25 | ( V_ma_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.25 & V_n_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__right__mono__neg,axiom,( 5.20/5.25 ! [V_c,V_a,V_b,T_a] : 5.20/5.25 ( class_Rings_Oordered__ring(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 => 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)) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_add__eq__0__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_x_2,V_y_2) 5.20/5.25 <=> V_y_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) 5.20/5.25 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_realpow__two__diff,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ominus__class_Ominus(T_a,V_x,V_y)),c_Groups_Oplus__class_Oplus(T_a,V_x,V_y)) = c_Groups_Ominus__class_Ominus(T_a,hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) 5.20/5.25 <= class_Rings_Ocomm__ring__1(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,( 5.20/5.25 ! [V_q,V_p,V_x,T_a] : 5.20/5.25 ( 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)) 5.20/5.25 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_incr__lemma,axiom,( 5.20/5.25 ! [V_x,V_z,V_d] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_z,c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_x,V_z)),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d) ) )). 5.20/5.25 5.20/5.25 fof(fact_less__SucE,axiom,( 5.20/5.25 ! [V_n,V_m] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,c_Nat_OSuc(V_n)) 5.20/5.25 => ( V_n = V_m 5.20/5.25 <= ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_1) 5.20/5.25 => class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,( 5.20/5.25 class_Rings_Oordered__ring__abs(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_order__le__less,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) 5.20/5.25 | V_y_2 = V_x_2 ) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_x_2,V_y_2) ) 5.20/5.25 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Oabs__if,axiom,( 5.20/5.25 class_Groups_Oabs__if(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_realpow__num__eq__if,axiom,( 5.20/5.25 ! [V_m,V_n,T_a] : 5.20/5.25 ( ( ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_m),V_n) = c_Groups_Oone__class_Oone(T_a) 5.20/5.25 <= c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n ) 5.20/5.25 & ( 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)))) 5.20/5.25 <= V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) 5.20/5.25 <= class_Power_Opower(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__mult__left__mono,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( ( ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) 5.20/5.25 <= class_Rings_Oordered__comm__semiring(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__left__less__imp__less,axiom,( 5.20/5.25 ! [V_b,V_a,V_c,T_a] : 5.20/5.25 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) 5.20/5.25 <= 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)) ) 5.20/5.25 <= class_Rings_Olinordered__semiring(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_power__eq__imp__eq__base,axiom,( 5.20/5.25 ! [V_b,V_n,V_a,T_a] : 5.20/5.25 ( ( 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) 5.20/5.25 => ( ( ( V_a = V_b 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) 5.20/5.25 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__of__nat__zero,axiom,( 5.20/5.25 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )). 5.20/5.25 5.20/5.25 fof(fact_abs__ge__minus__self,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),c_Groups_Oabs__class_Oabs(T_a,V_a)) 5.20/5.25 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_sgn__1__pos,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,axiom,( 5.20/5.25 class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_real__add__minus__iff,axiom,( 5.20/5.25 ! [V_a_2,V_x_2] : 5.20/5.25 ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x_2,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_a_2)) 5.20/5.25 <=> V_x_2 = V_a_2 ) )). 5.20/5.25 5.20/5.25 fof(fact_add__neg__neg,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__comm__monoid__add(T_a) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 => 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)) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_eq__imp__le,axiom,( 5.20/5.25 ! [V_n,V_m] : 5.20/5.25 ( V_n = V_m 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,axiom,( 5.20/5.25 class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Omult__zero,axiom,( 5.20/5.25 class_Rings_Omult__zero(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Orderings_Olinorder,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_1) 5.20/5.25 => class_Orderings_Olinorder(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__add__left__cancel__less,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_ma_2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k_2,V_n_2)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Oone,axiom,( 5.20/5.25 class_Groups_Oone(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_le__square,axiom,( 5.20/5.25 ! [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)) )). 5.20/5.25 5.20/5.25 fof(fact_add__le__mono1,axiom,( 5.20/5.25 ! [V_k,V_j,V_i] : 5.20/5.25 ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) ) )). 5.20/5.25 5.20/5.25 fof(fact_coeff__1,axiom,( 5.20/5.25 ! [V_n,T_a] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.25 => ( ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.25 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_n) ) 5.20/5.25 & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n 5.20/5.25 => hAPP(c_Polynomial_Ocoeff(T_a,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))),V_n) = c_Groups_Oone__class_Oone(T_a) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_unique__quotient__lemma,axiom,( 5.20/5.25 ! [V_r,V_q,V_r_H,V_q_H,V_b] : 5.20/5.25 ( 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)) 5.20/5.25 => ( ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_ext,axiom,( 5.20/5.25 ! [V_g_2,V_f_2] : 5.20/5.25 ( V_g_2 = V_f_2 5.20/5.25 <= ! [B_x] : hAPP(V_g_2,B_x) = hAPP(V_f_2,B_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult_Ozero__left,axiom,( 5.20/5.25 ! [V_b,T_a] : 5.20/5.25 ( 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) 5.20/5.25 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_minus__mult__right,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Rings_Oring(T_a) 5.20/5.25 => 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)) ) )). 5.20/5.25 5.20/5.25 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,( 5.20/5.25 ! [V_a_2,V_b_2] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2)) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )). 5.20/5.25 5.20/5.25 fof(fact_diff__add__inverse,axiom,( 5.20/5.25 ! [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 )). 5.20/5.25 5.20/5.25 fof(fact_realpow__minus__mult,axiom,( 5.20/5.25 ! [V_x,V_n,T_a] : 5.20/5.25 ( ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n) = 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) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) 5.20/5.25 <= class_Groups_Omonoid__mult(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__left__idem,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Lattices_Oab__semigroup__idem__mult(T_a) 5.20/5.25 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__of__nat__less__iff,axiom,( 5.20/5.25 ! [V_ma_2,V_n_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n_2),c_RealDef_Oreal(tc_Nat_Onat,V_ma_2)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n_2,V_ma_2) ) )). 5.20/5.25 5.20/5.25 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,( 5.20/5.25 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_real__abs__def,axiom,( 5.20/5.25 ! [V_r] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) 5.20/5.25 => c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_r) ) 5.20/5.25 & ( V_r = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,V_r) 5.20/5.25 <= ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_BseqI,axiom,( 5.20/5.25 ! [V_X_2,V_K_2,T_a] : 5.20/5.25 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.25 => ( ( ! [B_n] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),V_K_2) 5.20/5.25 => c_SEQ_OBseq(T_a,V_X_2) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_K_2) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,( 5.20/5.25 class_Groups_Oab__group__add(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_abs__mult__self,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_sgn__sgn,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => 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) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,( 5.20/5.25 class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_equal__neg__zero,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( ( V_a_2 = c_Groups_Ouminus__class_Ouminus(T_a,V_a_2) 5.20/5.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.25 <= class_Groups_Olinordered__ab__group__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,( 5.20/5.25 ! [V_x,T_a] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.25 => V_x = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__idempotent,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => c_Groups_Oabs__class_Oabs(T_a,V_a) = c_Groups_Oabs__class_Oabs(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)) ) )). 5.20/5.25 5.20/5.25 fof(fact_less__Suc__eq__le,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_power__strict__decreasing,axiom,( 5.20/5.25 ! [V_a,V_N,V_n,T_a] : 5.20/5.25 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.25 => ( ( ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_N) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,( 5.20/5.25 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_mult_Oadd__right,axiom,( 5.20/5.25 ! [V_b_H,V_b,V_a,T_a] : 5.20/5.25 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.25 => 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oplus__class_Oplus(T_a,V_b,V_b_H)) ) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__n__not__n,axiom,( 5.20/5.25 ! [V_n] : V_n != c_Nat_OSuc(V_n) )). 5.20/5.25 5.20/5.25 fof(fact_natceiling__add__one,axiom,( 5.20/5.25 ! [V_x] : 5.20/5.25 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_ln__le__cancel__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_y_2) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(V_x_2),c_Transcendental_Oln(V_y_2)) ) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_one__reorient,axiom,( 5.20/5.25 ! [V_x_2,T_a] : 5.20/5.25 ( ( c_Groups_Oone__class_Oone(T_a) = V_x_2 5.20/5.25 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) 5.20/5.25 <= class_Groups_Oone(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_linorder__neq__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_y_2,V_x_2) 5.20/5.25 | c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) ) 5.20/5.25 <=> V_x_2 != V_y_2 ) 5.20/5.25 <= class_Orderings_Olinorder(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__refl,axiom,( 5.20/5.25 ! [V_n] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_n) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__eq__plus1__left,axiom,( 5.20/5.25 ! [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) )). 5.20/5.25 5.20/5.25 fof(fact_nat__lt__two__imp__zero__or__one,axiom,( 5.20/5.25 ! [V_x] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) 5.20/5.25 => ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_x 5.20/5.25 | c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ) ) )). 5.20/5.25 5.20/5.25 fof(fact_zdiv__mono2__lemma,axiom,( 5.20/5.25 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : 5.20/5.25 ( 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) 5.20/5.25 => ( 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)) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r_H,V_b_H) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) ) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r) ) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_add__0__left,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( V_a = c_Groups_Oplus__class_Oplus(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.25 <= class_Groups_Omonoid__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_zero__less__power__nat__eq,axiom,( 5.20/5.25 ! [V_n_2,V_x_2] : 5.20/5.25 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.25 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x_2) ) 5.20/5.25 <=> 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)) ) )). 5.20/5.25 5.20/5.25 fof(fact_sgn__mult,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( 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)) 5.20/5.25 <= class_RealVector_Oreal__normed__div__algebra(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_less__imp__neq,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( ( V_x != V_y 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) 5.20/5.25 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__le__add__iff1,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) 5.20/5.25 => ( 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) 5.20/5.25 <=> 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)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__norm__cancel,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( c_RealVector_Onorm__class_Onorm(T_a,V_a) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,V_a)) 5.20/5.25 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__le__cancel__left__pos,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,V_ca_2,T_a] : 5.20/5.25 ( class_Rings_Olinordered__ring__strict(T_a) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_ca_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_reals__Archimedean6,axiom,( 5.20/5.25 ! [V_r] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_r) 5.20/5.25 => ? [B_n] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,B_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_r) 5.20/5.25 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_r,c_RealDef_Oreal(tc_Nat_Onat,B_n)) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,( 5.20/5.25 class_Groups_Ogroup__add(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_minus__le__self__iff,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( class_Groups_Olinordered__ab__group__add(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_a_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_diff__is__0__eq,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2] : 5.20/5.25 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__power__eq__Suc__0__iff,axiom,( 5.20/5.25 ! [V_ma_2,V_x_2] : 5.20/5.25 ( 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)) 5.20/5.25 <=> ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_ma_2 5.20/5.25 | V_x_2 = c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,( 5.20/5.25 class_Rings_Olinordered__idom(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult,axiom,( 5.20/5.25 class_Groups_Omonoid__mult(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,( 5.20/5.25 class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_less__bin__lemma,axiom,( 5.20/5.25 ! [V_l_2,V_k_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_k_2,V_l_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_k_2,V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )). 5.20/5.25 5.20/5.25 fof(fact_div__add__self1,axiom,( 5.20/5.25 ! [V_a,V_b,T_a] : 5.20/5.25 ( ( c_Groups_Oplus__class_Oplus(T_a,c_Divides_Odiv__class_Odiv(T_a,V_a,V_b),c_Groups_Oone__class_Oone(T_a)) = c_Divides_Odiv__class_Odiv(T_a,c_Groups_Oplus__class_Oplus(T_a,V_b,V_a),V_b) 5.20/5.25 <= V_b != c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.25 <= class_Divides_Osemiring__div(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,( 5.20/5.25 ! [V_q,V_x,T_a] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.25 => 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),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__0,axiom,( 5.20/5.25 ! [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) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Rings_Oring__1,axiom,( 5.20/5.25 class_Rings_Oring__1(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_natfloor__one,axiom,( 5.20/5.25 c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_RComplete_Onatfloor(c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) )). 5.20/5.25 5.20/5.25 fof(fact_mult__zero__right,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 <= class_Rings_Omult__zero(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__add__diff__inverse,axiom,( 5.20/5.25 ! [V_m,V_n] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) 5.20/5.25 => V_m = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Nat__Onat__Power_Opower,axiom,( 5.20/5.25 class_Power_Opower(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_ln__eq__zero__iff,axiom,( 5.20/5.25 ! [V_x_2] : 5.20/5.25 ( ( c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = V_x_2 5.20/5.25 <=> c_Transcendental_Oln(V_x_2) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) ) )). 5.20/5.25 5.20/5.25 fof(arity_HOL__Obool__Groups_Ouminus,axiom,( 5.20/5.25 class_Groups_Ouminus(tc_HOL_Obool) )). 5.20/5.25 5.20/5.25 fof(fact_zadd__0__right,axiom,( 5.20/5.25 ! [V_z] : V_z = c_Groups_Oplus__class_Oplus(tc_Int_Oint,V_z,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )). 5.20/5.25 5.20/5.25 fof(fact_pos__imp__zdiv__neg__iff,axiom,( 5.20/5.25 ! [V_a_2,V_b_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_2) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_2,V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(T_1)) 5.20/5.25 <= class_Rings_Oidom(T_1) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(T_1)) 5.20/5.25 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.25 5.20/5.25 fof(fact_ln__ge__zero,axiom,( 5.20/5.25 ! [V_x] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oln(V_x)) ) )). 5.20/5.25 5.20/5.25 fof(fact_One__nat__def,axiom,( 5.20/5.25 c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_poly__div__mult__right,axiom,( 5.20/5.25 ! [V_z,V_y,V_x,T_a] : 5.20/5.25 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y),V_z) = c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_y),V_z)) 5.20/5.25 <= class_Fields_Ofield(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_sum__squares__ge__zero,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( 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))) 5.20/5.25 <= class_Rings_Olinordered__ring(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_n__not__Suc__n,axiom,( 5.20/5.25 ! [V_n] : V_n != c_Nat_OSuc(V_n) )). 5.20/5.25 5.20/5.25 fof(fact_order__less__asym,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( ( ~ c_Orderings_Oord__class_Oless(T_a,V_y,V_x) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) 5.20/5.25 <= class_Orderings_Opreorder(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(T_1)) 5.20/5.25 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__mult__natfloor,axiom,( 5.20/5.25 ! [V_b,V_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_RComplete_Onatfloor(V_a)),c_RComplete_Onatfloor(V_b)),c_RComplete_Onatfloor(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a),V_b))) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_b) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,( 5.20/5.25 ! [V_y,V_x] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) 5.20/5.25 => 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)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,( 5.20/5.25 ! [V_d,V_c,V_a,T_a] : 5.20/5.25 ( 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)) 5.20/5.25 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Rings_Oring,axiom,( 5.20/5.25 class_Rings_Oring(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_less__minus__self__iff,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.25 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_add__diff__assoc,axiom,( 5.20/5.25 ! [V_i,V_j,V_k] : 5.20/5.25 ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_j) ) )). 5.20/5.25 5.20/5.25 fof(fact_not__real__of__nat__less__zero,axiom,( 5.20/5.25 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_n),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,( 5.20/5.25 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_real__mult__left__cancel,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,V_ca_2] : 5.20/5.25 ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_ca_2),V_b_2) 5.20/5.25 <=> V_a_2 = V_b_2 ) 5.20/5.25 <= V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__funD,axiom,( 5.20/5.25 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] : 5.20/5.25 ( class_Orderings_Oord(T_b) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_b,hAPP(V_f_2,V_x_2),hAPP(V_g_2,V_x_2)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b),V_f_2,V_g_2) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Ouminus,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Groups_Oab__group__add(T_1) 5.20/5.25 => class_Groups_Ouminus(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__diff__add__eq1,axiom,( 5.20/5.25 ! [V_n,V_m,V_u,V_i,V_j] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_i) 5.20/5.25 => 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) ) )). 5.20/5.25 5.20/5.25 fof(fact_zle__refl,axiom,( 5.20/5.25 ! [V_w] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_w) )). 5.20/5.25 5.20/5.25 fof(fact_div__le__dividend,axiom,( 5.20/5.25 ! [V_n,V_m] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_n),V_m) )). 5.20/5.25 5.20/5.25 fof(fact_q__neg__lemma,axiom,( 5.20/5.25 ! [V_r_H,V_q_H,V_b_H] : 5.20/5.25 ( 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)) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_zero__less__norm__iff,axiom,( 5.20/5.25 ! [V_x_2,T_a] : 5.20/5.25 ( ( c_Groups_Ozero__class_Ozero(T_a) != V_x_2 5.20/5.25 <=> 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)) ) 5.20/5.25 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Oone,axiom,( 5.20/5.25 class_Groups_Oone(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__neq__Zero,axiom,( 5.20/5.25 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) )). 5.20/5.25 5.20/5.25 fof(fact_zle__antisym,axiom,( 5.20/5.25 ! [V_w,V_z] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_z,V_w) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_w,V_z) 5.20/5.25 => V_w = V_z ) ) )). 5.20/5.25 5.20/5.25 fof(fact_add__strict__increasing,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__comm__monoid__add(T_a) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_c) 5.20/5.25 => c_Orderings_Oord__class_Oless(T_a,V_b,c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,( 5.20/5.25 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_norm__power__ineq,axiom,( 5.20/5.25 ! [V_n,V_x,T_a] : 5.20/5.25 ( class_RealVector_Oreal__normed__algebra__1(T_a) 5.20/5.25 => 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)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Nat__Onat__Rings_Osemiring,axiom,( 5.20/5.25 class_Rings_Osemiring(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_abs__sgn,axiom,( 5.20/5.25 ! [V_k,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => c_Groups_Oabs__class_Oabs(T_a,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) )). 5.20/5.25 5.20/5.25 fof(fact_less__add__eq__less,axiom,( 5.20/5.25 ! [V_n,V_m,V_l,V_k] : 5.20/5.25 ( ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_l) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_k,V_n) 5.20/5.25 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_k,V_l) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs,axiom,( 5.20/5.25 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1)) 5.20/5.25 <= class_Groups_Ocancel__comm__monoid__add(T_1) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,( 5.20/5.25 class_Groups_Ogroup__add(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_mult__eq__0__iff,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,T_a] : 5.20/5.25 ( class_Rings_Oring__no__zero__divisors(T_a) 5.20/5.25 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 <=> ( c_Groups_Ozero__class_Ozero(T_a) = V_a_2 5.20/5.25 | c_Groups_Ozero__class_Ozero(T_a) = V_b_2 ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_zdiv__zero,axiom,( 5.20/5.25 ! [V_b] : c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) )). 5.20/5.25 5.20/5.25 fof(fact_add__diff__inverse,axiom,( 5.20/5.25 ! [V_n,V_m] : 5.20/5.25 ( c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n)) = V_m 5.20/5.25 <= ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.25 5.20/5.25 fof(fact_split__mult__neg__le,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Rings_Oordered__cancel__semiring(T_a) 5.20/5.25 => ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) 5.20/5.25 | ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.25 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) ) 5.20/5.25 => 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)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_natfloor__zero,axiom,( 5.20/5.25 c_RComplete_Onatfloor(c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_add__strict__left__mono,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) 5.20/5.25 => ( 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)) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,V_a,V_b) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,( 5.20/5.25 ! [V_q,V_y,V_x,T_a] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.25 => 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)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) ) )). 5.20/5.25 5.20/5.25 fof(fact_incr__mult__lemma,axiom,( 5.20/5.25 ! [V_k_2,V_P_2,V_d_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_d_2) 5.20/5.25 => ( ! [B_x] : 5.20/5.25 ( hBOOL(hAPP(V_P_2,B_x)) 5.20/5.25 => hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B_x,V_d_2))) ) 5.20/5.25 => ( ! [B_x] : 5.20/5.25 ( hBOOL(hAPP(V_P_2,B_x)) 5.20/5.25 => hBOOL(hAPP(V_P_2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,B_x,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k_2) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_diff__minus__eq__add,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Ogroup__add(T_a) 5.20/5.25 => c_Groups_Oplus__class_Oplus(T_a,V_a,V_b) = c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) )). 5.20/5.25 5.20/5.25 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,( 5.20/5.25 class_Lattices_Oboolean__algebra(tc_HOL_Obool) )). 5.20/5.25 5.20/5.25 fof(fact_le__natfloor__eq,axiom,( 5.20/5.25 ! [V_a_2,V_x_2] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_a_2,c_RComplete_Onatfloor(V_x_2)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_a_2),V_x_2) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_power__strict__mono,axiom,( 5.20/5.25 ! [V_n,V_b,V_a,T_a] : 5.20/5.25 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) 5.20/5.25 => 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)) ) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_order__le__imp__less__or__eq,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.20/5.25 => ( V_y = V_x 5.20/5.25 | c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) 5.20/5.25 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__natceiling__ge,axiom,( 5.20/5.25 ! [V_x] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(V_x))) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,( 5.20/5.25 ! [V_q,V_x,T_a] : 5.20/5.25 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.25 => 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)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,( 5.20/5.25 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Osgn__if,axiom,( 5.20/5.25 class_Groups_Osgn__if(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_mult_Ozero__right,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_1) 5.20/5.25 => class_Groups_Oordered__ab__group__add__abs(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(fact_add__0__right,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( class_Groups_Omonoid__add(T_a) 5.20/5.25 => V_a = c_Groups_Oplus__class_Oplus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Nat__Onat__Rings_Ocomm__semiring__0,axiom,( 5.20/5.25 class_Rings_Ocomm__semiring__0(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_mult__left__le__imp__le,axiom,( 5.20/5.25 ! [V_b,V_a,V_c,T_a] : 5.20/5.25 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.25 => ( 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)) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Groups_Oab__semigroup__add,axiom,( 5.20/5.25 class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_abs__mult__less,axiom,( 5.20/5.25 ! [V_d,V_b,V_c,V_a,T_a] : 5.20/5.25 ( class_Rings_Olinordered__idom(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_c) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Oabs__class_Oabs(T_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d)) 5.20/5.25 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Oabs__class_Oabs(T_a,V_b),V_d) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_ln__add__one__self__le__self,axiom,( 5.20/5.25 ! [V_x] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Transcendental_Oln(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x)),V_x) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_xt1_I6_J,axiom,( 5.20/5.25 ! [V_z,V_x,V_y,T_a] : 5.20/5.25 ( class_Orderings_Oorder(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_y) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(T_a,V_z,V_x) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_less__add__Suc1,axiom,( 5.20/5.25 ! [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))) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,( 5.20/5.25 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_diff__cancel2,axiom,( 5.20/5.25 ! [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) )). 5.20/5.25 5.20/5.25 fof(fact_less__natfloor,axiom,( 5.20/5.25 ! [V_n,V_x] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_n)) 5.20/5.25 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),V_n) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,( 5.20/5.25 class_Rings_Ono__zero__divisors(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,axiom,( 5.20/5.25 class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_div__le__mono,axiom,( 5.20/5.25 ! [V_k,V_n,V_m] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,V_k),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n,V_k)) ) )). 5.20/5.25 5.20/5.25 fof(fact_double__eq__0__iff,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( class_Groups_Olinordered__ab__group__add(T_a) 5.20/5.25 => ( c_Groups_Ozero__class_Ozero(T_a) = V_a_2 5.20/5.25 <=> c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__le__cancel1,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)) ) )). 5.20/5.25 5.20/5.25 fof(fact_mult__zero__left,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( 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) 5.20/5.25 <= class_Rings_Omult__zero(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_natceiling__mono,axiom,( 5.20/5.25 ! [V_y,V_x] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x,V_y) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),c_RComplete_Onatceiling(V_y)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Omonoid__add,axiom,( 5.20/5.25 class_Groups_Omonoid__add(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__pred_H,axiom,( 5.20/5.25 ! [V_n] : 5.20/5.25 ( c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Groups_Osgn__if,axiom,( 5.20/5.25 class_Groups_Osgn__if(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_add__less__mono1,axiom,( 5.20/5.25 ! [V_k,V_j,V_i] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) 5.20/5.25 => 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)) ) )). 5.20/5.25 5.20/5.25 fof(fact_minus__add,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_Groups_Ogroup__add(T_a) 5.20/5.25 => 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)) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__mult__1__right,axiom,( 5.20/5.25 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n )). 5.20/5.25 5.20/5.25 fof(arity_Polynomial__Opoly__Rings_Osemiring__0,axiom,( 5.20/5.25 ! [T_1] : 5.20/5.25 ( class_Rings_Ocomm__semiring__0(T_1) 5.20/5.25 => class_Rings_Osemiring__0(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Groups_Ozero,axiom,( 5.20/5.25 class_Groups_Ozero(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__diff__le,axiom,( 5.20/5.25 ! [V_m,V_n] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_m) 5.20/5.25 => 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)) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__le__D2,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a),V_b) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a),V_b) ) 5.20/5.25 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_field__power__not__zero,axiom,( 5.20/5.25 ! [V_n,V_a,T_a] : 5.20/5.25 ( class_Rings_Oring__1__no__zero__divisors(T_a) 5.20/5.25 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 <= c_Groups_Ozero__class_Ozero(T_a) != V_a ) ) )). 5.20/5.25 5.20/5.25 fof(fact_split__div,axiom,( 5.20/5.25 ! [V_k_2,V_n_2,V_P_2] : 5.20/5.25 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_n_2,V_k_2))) 5.20/5.25 <=> ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != V_k_2 5.20/5.25 => ! [B_i,B_j] : 5.20/5.25 ( ( hBOOL(hAPP(V_P_2,B_i)) 5.20/5.25 <= c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i),B_j) = V_n_2 ) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,B_j,V_k_2) ) ) 5.20/5.25 & ( hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) 5.20/5.25 <= c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_k_2 ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_convex__bound__lt,axiom,( 5.20/5.25 ! [V_v,V_u,V_y,V_a,V_x,T_a] : 5.20/5.25 ( class_Rings_Olinordered__semiring__1__strict(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,V_x,V_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,V_y,V_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_u) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_v) 5.20/5.25 => ( c_Groups_Oone__class_Oone(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_u,V_v) 5.20/5.25 => 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) ) ) ) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,( 5.20/5.25 ! [V_y,V_x] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_y)) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) ) 5.20/5.25 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_div__mult__mult1__if,axiom,( 5.20/5.25 ! [V_b,V_a,V_c,T_a] : 5.20/5.25 ( ( ( V_c = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 => c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) ) 5.20/5.25 & ( V_c != c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 => c_Divides_Odiv__class_Odiv(T_a,V_a,V_b) = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) ) ) 5.20/5.25 <= class_Divides_Osemiring__div(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_minus__apply,axiom,( 5.20/5.25 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] : 5.20/5.25 ( c_Groups_Ominus__class_Ominus(T_a,hAPP(V_A_2,V_x_2),hAPP(V_B_2,V_x_2)) = hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a),V_A_2,V_B_2),V_x_2) 5.20/5.25 <= class_Groups_Ominus(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__add__assoc,axiom,( 5.20/5.25 ! [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)) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__leD,axiom,( 5.20/5.25 ! [V_n,V_m] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.25 5.20/5.25 fof(fact_combine__common__factor,axiom,( 5.20/5.25 ! [V_c,V_b,V_e,V_a,T_a] : 5.20/5.25 ( 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) 5.20/5.25 <= class_Rings_Osemiring(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,( 5.20/5.25 class_Divides_Osemiring__div(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_diff__0__right,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( V_a = c_Groups_Ominus__class_Ominus(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_zero__le__power,axiom,( 5.20/5.25 ! [V_n,V_a,T_a] : 5.20/5.25 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.25 => 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)) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_minus__less__iff,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_b_2),V_a_2) ) ) )). 5.20/5.25 5.20/5.25 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,( 5.20/5.25 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )). 5.20/5.25 5.20/5.25 fof(fact_realpow__two__disj,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( class_Rings_Oidom(T_a) 5.20/5.25 => ( ( V_x_2 = V_y_2 5.20/5.25 | c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) = V_x_2 ) 5.20/5.25 <=> 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)))) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_eq__iff__diff__eq__0,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,T_a] : 5.20/5.25 ( ( V_a_2 = V_b_2 5.20/5.25 <=> c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Ominus__class_Ominus(T_a,V_a_2,V_b_2) ) 5.20/5.25 <= class_Groups_Oab__group__add(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_real__0__less__add__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2] : 5.20/5.25 ( 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)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_coeff__inject,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( ( c_Polynomial_Ocoeff(T_a,V_y_2) = c_Polynomial_Ocoeff(T_a,V_x_2) 5.20/5.25 <=> V_x_2 = V_y_2 ) 5.20/5.25 <= class_Groups_Ozero(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_times_Oidem,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) 5.20/5.25 <= class_Lattices_Oab__semigroup__idem__mult(T_a) ) )). 5.20/5.25 5.20/5.25 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,( 5.20/5.25 class_Groups_Omonoid__mult(tc_Int_Oint) )). 5.20/5.25 5.20/5.25 fof(fact_mult__le__cancel__left__neg,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,V_ca_2,T_a] : 5.20/5.25 ( class_Rings_Olinordered__ring__strict(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,V_a_2) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__zero,axiom,( 5.20/5.25 ! [T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__pred,axiom,( 5.20/5.25 ! [V_n] : 5.20/5.25 ( V_n = c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_n,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Rings_Oordered__cancel__semiring,axiom,( 5.20/5.25 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_abs__of__nonpos,axiom,( 5.20/5.25 ! [V_a,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 => c_Groups_Ouminus__class_Ouminus(T_a,V_a) = c_Groups_Oabs__class_Oabs(T_a,V_a) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_abs__le__iff,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,T_a] : 5.20/5.25 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.25 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,V_b_2) 5.20/5.25 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),V_b_2) ) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a_2),V_b_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_compl__le__compl__iff,axiom,( 5.20/5.25 ! [V_y_2,V_x_2,T_a] : 5.20/5.25 ( ( 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)) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) 5.20/5.25 <= class_Lattices_Oboolean__algebra(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_norm__one,axiom,( 5.20/5.25 ! [T_a] : 5.20/5.25 ( class_RealVector_Oreal__normed__algebra__1(T_a) 5.20/5.25 => c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Oone__class_Oone(T_a)) ) )). 5.20/5.25 5.20/5.25 fof(arity_RealDef__Oreal__Rings_Oordered__ring__abs,axiom,( 5.20/5.25 class_Rings_Oordered__ring__abs(tc_RealDef_Oreal) )). 5.20/5.25 5.20/5.25 fof(fact_nat__diff__split,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,V_P_2] : 5.20/5.25 ( ( ! [B_d] : 5.20/5.25 ( V_a_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_b_2,B_d) 5.20/5.25 => hBOOL(hAPP(V_P_2,B_d)) ) 5.20/5.25 & ( hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_a_2,V_b_2) ) ) 5.20/5.25 <=> hBOOL(hAPP(V_P_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_a_2,V_b_2))) ) )). 5.20/5.25 5.20/5.25 fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,axiom,( 5.20/5.25 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) )). 5.20/5.25 5.20/5.25 fof(fact_linorder__neqE__linordered__idom,axiom,( 5.20/5.25 ! [V_y,V_x,T_a] : 5.20/5.25 ( ( ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) 5.20/5.25 => c_Orderings_Oord__class_Oless(T_a,V_y,V_x) ) 5.20/5.25 <= V_x != V_y ) 5.20/5.25 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__one__le__power,axiom,( 5.20/5.25 ! [V_n,V_i] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)) ) )). 5.20/5.25 5.20/5.25 fof(fact_ln__realpow,axiom,( 5.20/5.25 ! [V_n,V_x] : 5.20/5.25 ( c_Transcendental_Oln(hAPP(hAPP(c_Power_Opower__class_Opower(tc_RealDef_Oreal),V_x),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,V_n)),c_Transcendental_Oln(V_x)) 5.20/5.25 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.20/5.25 5.20/5.25 fof(fact_Suc__mult__cancel1,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.25 ( V_n_2 = V_ma_2 5.20/5.25 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_n_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_le__iff__add,axiom,( 5.20/5.25 ! [V_n_2,V_ma_2] : 5.20/5.25 ( ? [B_k] : V_n_2 = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,B_k) 5.20/5.25 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.25 5.20/5.25 fof(fact_zless__imp__add1__zle,axiom,( 5.20/5.25 ! [V_z,V_w] : 5.20/5.25 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_w,V_z) 5.20/5.25 => 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) ) )). 5.20/5.25 5.20/5.25 fof(fact_sgn__if,axiom,( 5.20/5.25 ! [V_x,T_a] : 5.20/5.25 ( class_Groups_Osgn__if(T_a) 5.20/5.25 => ( ( V_x != c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 => ( ( ~ c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) 5.20/5.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oone__class_Oone(T_a)) ) 5.20/5.25 & ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_x) 5.20/5.25 => c_Groups_Oone__class_Oone(T_a) = c_Groups_Osgn__class_Osgn(T_a,V_x) ) ) ) 5.20/5.25 & ( V_x = c_Groups_Ozero__class_Ozero(T_a) 5.20/5.25 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_double__zero__sym,axiom,( 5.20/5.25 ! [V_a_2,T_a] : 5.20/5.25 ( class_Groups_Olinordered__ab__group__add(T_a) 5.20/5.25 => ( c_Groups_Ozero__class_Ozero(T_a) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_a_2) 5.20/5.25 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,( 5.20/5.25 ! [V_c,V_b,V_a,T_a] : 5.20/5.25 ( 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oplus__class_Oplus(T_a,V_a,V_b)),V_c) 5.20/5.25 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_norm__minus__cancel,axiom,( 5.20/5.25 ! [V_x,T_a] : 5.20/5.25 ( c_RealVector_Onorm__class_Onorm(T_a,V_x) = c_RealVector_Onorm__class_Onorm(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) 5.20/5.25 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_norm__triangle__ineq4,axiom,( 5.20/5.25 ! [V_b,V_a,T_a] : 5.20/5.25 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.25 => 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))) ) )). 5.20/5.25 5.20/5.25 fof(fact_nat__add__left__commute,axiom,( 5.20/5.25 ! [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)) )). 5.20/5.25 5.20/5.25 fof(fact_mult__le__cancel2,axiom,( 5.20/5.25 ! [V_n_2,V_k_2,V_ma_2] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)) 5.20/5.25 <=> ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2) 5.20/5.25 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) ) ) )). 5.20/5.25 5.20/5.25 fof(fact_zero__le__mult__iff,axiom,( 5.20/5.25 ! [V_b_2,V_a_2,T_a] : 5.20/5.25 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)) 5.20/5.25 <=> ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_b_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.25 & c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.25 | ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b_2) 5.20/5.25 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) ) ) 5.20/5.25 <= class_Rings_Olinordered__ring__strict(T_a) ) )). 5.20/5.25 5.20/5.25 fof(fact_lemmaCauchy,axiom,( 5.20/5.25 ! [V_X_2,V_M_2,T_a,T_b] : 5.20/5.25 ( ( ! [B_n] : 5.20/5.25 ( c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) 5.20/5.25 => 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)))) ) 5.20/5.25 <= ! [B_n] : 5.20/5.25 ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_M_2,B_n) ) ) 5.20/5.26 <= ( class_Orderings_Oord(T_a) 5.20/5.26 & class_RealVector_Oreal__normed__vector(T_b) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_div__mult__self1__is__m,axiom,( 5.20/5.26 ! [V_m,V_n] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) 5.20/5.26 => c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m),V_n) = V_m ) )). 5.20/5.26 5.20/5.26 fof(fact_Suc__not__Zero,axiom,( 5.20/5.26 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != c_Nat_OSuc(V_m) )). 5.20/5.26 5.20/5.26 fof(fact_le__natfloor,axiom,( 5.20/5.26 ! [V_a,V_x] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_x),V_a) 5.20/5.26 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,c_RComplete_Onatfloor(V_a)) ) )). 5.20/5.26 5.20/5.26 fof(fact_nat__eq__add__iff2,axiom,( 5.20/5.26 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : 5.20/5.26 ( ( 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) 5.20/5.26 <=> 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) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) ) )). 5.20/5.26 5.20/5.26 fof(fact_norm__mult__ineq,axiom,( 5.20/5.26 ! [V_y,V_x,T_a] : 5.20/5.26 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.26 => 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))) ) )). 5.20/5.26 5.20/5.26 fof(fact_ge__natfloor__plus__one__imp__gt,axiom,( 5.20/5.26 ! [V_n,V_z] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_z,c_RealDef_Oreal(tc_Nat_Onat,V_n)) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_z),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ) )). 5.20/5.26 5.20/5.26 fof(fact_linorder__neqE__nat,axiom,( 5.20/5.26 ! [V_y,V_x] : 5.20/5.26 ( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) 5.20/5.26 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_y,V_x) ) 5.20/5.26 <= V_y != V_x ) )). 5.20/5.26 5.20/5.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,( 5.20/5.26 ! [V_d,V_c,V_a,T_a] : 5.20/5.26 ( 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) 5.20/5.26 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult__le__mono,axiom,( 5.20/5.26 ! [V_l,V_k,V_j,V_i] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k,V_l) 5.20/5.26 => 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)) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_abs__minus__le__zero,axiom,( 5.20/5.26 ! [V_a,T_a] : 5.20/5.26 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.26 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Oabs__class_Oabs(T_a,V_a)),c_Groups_Ozero__class_Ozero(T_a)) ) )). 5.20/5.26 5.20/5.26 fof(fact_zmult__zless__mono2,axiom,( 5.20/5.26 ! [V_k,V_j,V_i] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,V_j) 5.20/5.26 => ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_k) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,( 5.20/5.26 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Groups_Oabs__if,axiom,( 5.20/5.26 class_Groups_Oabs__if(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_power__mult,axiom,( 5.20/5.26 ! [V_n,V_m,V_a,T_a] : 5.20/5.26 ( class_Groups_Omonoid__mult(T_a) 5.20/5.26 => 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) ) )). 5.20/5.26 5.20/5.26 fof(fact_zminus__0,axiom,( 5.20/5.26 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )). 5.20/5.26 5.20/5.26 fof(fact_mult__Suc,axiom,( 5.20/5.26 ! [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)) )). 5.20/5.26 5.20/5.26 fof(fact_zdiff__zmult__distrib,axiom,( 5.20/5.26 ! [V_w,V_z2,V_z1] : 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)),V_w) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Groups_Ozero,axiom,( 5.20/5.26 class_Groups_Ozero(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(fact_nat__less__add__iff1,axiom,( 5.20/5.26 ! [V_n_2,V_ma_2,V_u_2,V_i_2,V_j_2] : 5.20/5.26 ( ( 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) 5.20/5.26 <=> 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)) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j_2,V_i_2) ) )). 5.20/5.26 5.20/5.26 fof(fact_trans__less__add2,axiom,( 5.20/5.26 ! [V_m,V_j,V_i] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) 5.20/5.26 => c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_j)) ) )). 5.20/5.26 5.20/5.26 fof(fact_abs__minus__commute,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.26 => c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_a)) = c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_b)) ) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,( 5.20/5.26 class_Rings_Ozero__neq__one(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(arity_Nat__Onat__Groups_Ozero,axiom,( 5.20/5.26 class_Groups_Ozero(tc_Nat_Onat) )). 5.20/5.26 5.20/5.26 fof(fact_mult__left_Ozero,axiom,( 5.20/5.26 ! [V_y,T_a] : 5.20/5.26 ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y) 5.20/5.26 <= class_RealVector_Oreal__normed__algebra(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_sgn__poly__def,axiom,( 5.20/5.26 ! [V_x,T_a] : 5.20/5.26 ( class_Rings_Olinordered__idom(T_a) 5.20/5.26 => ( ( c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) 5.20/5.26 <= c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) = V_x ) 5.20/5.26 & ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) != V_x 5.20/5.26 => ( ( c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a)) = c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) ) 5.20/5.26 & ( c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(T_a))) = c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(T_a),V_x) 5.20/5.26 <= ~ c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(T_a),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x) ) ) ) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult__nonneg__nonpos2,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( class_Rings_Oordered__cancel__semiring(T_a) 5.20/5.26 => ( ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,( 5.20/5.26 class_Rings_Ocomm__semiring(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(fact_order__less__irrefl,axiom,( 5.20/5.26 ! [V_x,T_a] : 5.20/5.26 ( ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_x) 5.20/5.26 <= class_Orderings_Opreorder(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_uminus__apply,axiom,( 5.20/5.26 ! [V_x_2,V_A_2,T_b,T_a] : 5.20/5.26 ( c_Groups_Ouminus__class_Ouminus(T_a,hAPP(V_A_2,V_x_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a),V_A_2),V_x_2) 5.20/5.26 <= class_Groups_Ouminus(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult__le__mono1,axiom,( 5.20/5.26 ! [V_k,V_j,V_i] : 5.20/5.26 ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Rings_Omult__zero,axiom,( 5.20/5.26 class_Rings_Omult__zero(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,( 5.20/5.26 class_Rings_Ocomm__semiring__1(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(fact_double__compl,axiom,( 5.20/5.26 ! [V_x,T_a] : 5.20/5.26 ( class_Lattices_Oboolean__algebra(T_a) 5.20/5.26 => c_Groups_Ouminus__class_Ouminus(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_x)) = V_x ) )). 5.20/5.26 5.20/5.26 fof(fact_natfloor__add__one,axiom,( 5.20/5.26 ! [V_x] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.26 => c_RComplete_Onatfloor(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatfloor(V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) )). 5.20/5.26 5.20/5.26 fof(fact_zdiv__mono1__neg,axiom,( 5.20/5.26 ! [V_b,V_a_H,V_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a_H,V_b),c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b)) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,V_a_H) ) )). 5.20/5.26 5.20/5.26 fof(fact_div__nonpos__pos__le0,axiom,( 5.20/5.26 ! [V_b,V_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ) )). 5.20/5.26 5.20/5.26 fof(fact_leD,axiom,( 5.20/5.26 ! [V_x,V_y,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_x) 5.20/5.26 => ~ c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) 5.20/5.26 <= class_Orderings_Olinorder(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_natceiling__add,axiom,( 5.20/5.26 ! [V_a,V_x] : 5.20/5.26 ( c_RComplete_Onatceiling(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,V_x,c_RealDef_Oreal(tc_Nat_Onat,V_a))) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_RComplete_Onatceiling(V_x),V_a) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.20/5.26 5.20/5.26 fof(fact_zadd__left__mono,axiom,( 5.20/5.26 ! [V_k,V_j,V_i] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_i,V_j) 5.20/5.26 => 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)) ) )). 5.20/5.26 5.20/5.26 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,( 5.20/5.26 ! [V_y,V_x] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_y) 5.20/5.26 => 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)) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_less__imp__le__nat,axiom,( 5.20/5.26 ! [V_n,V_m] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.26 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.26 5.20/5.26 fof(fact_neg__less__0__iff__less,axiom,( 5.20/5.26 ! [V_a_2,T_a] : 5.20/5.26 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) 5.20/5.26 <=> c_Orderings_Oord__class_Oless(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_crossproduct__eq,axiom,( 5.20/5.26 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] : 5.20/5.26 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) 5.20/5.26 => ( ( V_y_2 = V_z_2 5.20/5.26 | V_x_2 = V_w_2 ) 5.20/5.26 <=> c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2)) = c_Groups_Oplus__class_Oplus(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult_Odiff__left,axiom,( 5.20/5.26 ! [V_b,V_a_H,V_a,T_a] : 5.20/5.26 ( class_RealVector_Oreal__normed__algebra(T_a) 5.20/5.26 => 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)) ) )). 5.20/5.26 5.20/5.26 fof(fact__0960_A_060_061_Acmod_Ac_096,axiom,( 5.20/5.26 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)) )). 5.20/5.26 5.20/5.26 fof(fact_real__le__trans,axiom,( 5.20/5.26 ! [V_k,V_j,V_i] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_k) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_j,V_k) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_i,V_j) ) )). 5.20/5.26 5.20/5.26 fof(fact_le__imp__0__less,axiom,( 5.20/5.26 ! [V_z] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_z) 5.20/5.26 => 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)) ) )). 5.20/5.26 5.20/5.26 fof(fact_add__pos__nonneg,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( class_Groups_Oordered__comm__monoid__add(T_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.26 => 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)) ) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,( 5.20/5.26 ! [V_ry,V_rx,V_ly,V_lx,T_a] : 5.20/5.26 ( 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)) 5.20/5.26 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_order__less__imp__not__eq2,axiom,( 5.20/5.26 ! [V_y,V_x,T_a] : 5.20/5.26 ( class_Orderings_Oorder(T_a) 5.20/5.26 => ( V_y != V_x 5.20/5.26 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_minus__mult__minus,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( class_Rings_Oring(T_a) 5.20/5.26 => 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)),c_Groups_Ouminus__class_Ouminus(T_a,V_b)) ) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,( 5.20/5.26 class_Rings_Oordered__ring(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(fact_mult__less__cancel__left__neg,axiom,( 5.20/5.26 ! [V_b_2,V_a_2,V_ca_2,T_a] : 5.20/5.26 ( class_Rings_Olinordered__ring__strict(T_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless(T_a,V_ca_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.26 => ( c_Orderings_Oord__class_Oless(T_a,V_b_2,V_a_2) 5.20/5.26 <=> c_Orderings_Oord__class_Oless(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)) ) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Olinordered__idom(T_1) 5.20/5.26 => class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(T_1)) 5.20/5.26 <= class_Rings_Ocomm__semiring__0(T_1) ) )). 5.20/5.26 5.20/5.26 fof(fact_minus__add__cancel,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( V_b = 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)) 5.20/5.26 <= class_Groups_Ogroup__add(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_div__self,axiom,( 5.20/5.26 ! [V_a,T_a] : 5.20/5.26 ( class_Divides_Osemiring__div(T_a) 5.20/5.26 => ( c_Divides_Odiv__class_Odiv(T_a,V_a,V_a) = c_Groups_Oone__class_Oone(T_a) 5.20/5.26 <= c_Groups_Ozero__class_Ozero(T_a) != V_a ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,( 5.20/5.26 class_Rings_Ocomm__ring__1(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(fact_nat__le__add__iff2,axiom,( 5.20/5.26 ! [V_n_2,V_ma_2,V_u_2,V_j_2,V_i_2] : 5.20/5.26 ( ( 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)) 5.20/5.26 <=> 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)) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,V_j_2) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult__eq__if,axiom,( 5.20/5.26 ! [V_n,V_m] : 5.20/5.26 ( ( 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) 5.20/5.26 <= V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) 5.20/5.26 & ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_m 5.20/5.26 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_zdiv__mono2__neg__lemma,axiom,( 5.20/5.26 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] : 5.20/5.26 ( ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_r,V_b) 5.20/5.26 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b_H) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q_H,V_q) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_b_H,V_b) ) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_r_H) ) ) 5.20/5.26 <= 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)) ) 5.20/5.26 <= 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_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q),V_r) ) )). 5.20/5.26 5.20/5.26 fof(fact_power__eq__if,axiom,( 5.20/5.26 ! [V_p,V_m] : 5.20/5.26 ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_m 5.20/5.26 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) ) 5.20/5.26 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.26 => 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)))) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_Bseq__iff1a,axiom,( 5.20/5.26 ! [V_X_2,T_a] : 5.20/5.26 ( ( ? [B_N] : 5.20/5.26 ! [B_n] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(T_a,hAPP(V_X_2,B_n)),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(B_N))) 5.20/5.26 <=> c_SEQ_OBseq(T_a,V_X_2) ) 5.20/5.26 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,( 5.20/5.26 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(T_1)) 5.20/5.26 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.26 5.20/5.26 fof(fact_real__sgn__def,axiom,( 5.20/5.26 ! [V_x] : 5.20/5.26 ( ( V_x = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) 5.20/5.26 => c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) 5.20/5.26 & ( c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != V_x 5.20/5.26 => ( ( c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal,V_x) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) 5.20/5.26 & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.26 => 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)) ) ) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_nat__add__commute,axiom,( 5.20/5.26 ! [V_n,V_m] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n,V_m) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n) )). 5.20/5.26 5.20/5.26 fof(fact_order__neq__le__trans,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( ( V_b != V_a 5.20/5.26 => ( c_Orderings_Oord__class_Oless(T_a,V_a,V_b) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) 5.20/5.26 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_zero__le__one,axiom,( 5.20/5.26 ! [T_a] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Oone__class_Oone(T_a)) 5.20/5.26 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_nat__power__less__imp__less,axiom,( 5.20/5.26 ! [V_n,V_m,V_i] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.26 <= 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)) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i) ) )). 5.20/5.26 5.20/5.26 fof(fact_norm__mult,axiom,( 5.20/5.26 ! [V_y,V_x,T_a] : 5.20/5.26 ( class_RealVector_Oreal__normed__div__algebra(T_a) 5.20/5.26 => 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)) ) )). 5.20/5.26 5.20/5.26 fof(fact_zabs__def,axiom,( 5.20/5.26 ! [V_i] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.26 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,V_i) ) 5.20/5.26 & ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,V_i,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.26 => c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_i) = V_i ) ) )). 5.20/5.26 5.20/5.26 fof(fact_Suc__mult__less__cancel1,axiom,( 5.20/5.26 ! [V_n_2,V_ma_2,V_k_2] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_ma_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(V_k_2)),V_n_2)) 5.20/5.26 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Rings_Olinordered__semiring__strict,axiom,( 5.20/5.26 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Oordered__ring,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Oordered__ring(tc_Polynomial_Opoly(T_1)) 5.20/5.26 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.26 5.20/5.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,( 5.20/5.26 ! [V_ry,V_rx,V_lx,T_a] : 5.20/5.26 ( class_Rings_Ocomm__semiring__1(T_a) 5.20/5.26 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) ) )). 5.20/5.26 5.20/5.26 fof(fact_sgn__minus,axiom,( 5.20/5.26 ! [V_x,T_a] : 5.20/5.26 ( 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)) 5.20/5.26 <= class_RealVector_Oreal__normed__vector(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_comm__semiring__class_Odistrib,axiom,( 5.20/5.26 ! [V_c,V_b,V_a,T_a] : 5.20/5.26 ( class_Rings_Ocomm__semiring(T_a) 5.20/5.26 => 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)) ) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,( 5.20/5.26 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,( 5.20/5.26 class_Groups_Oab__semigroup__add(tc_Nat_Onat) )). 5.20/5.26 5.20/5.26 fof(fact_mult__less__mono2,axiom,( 5.20/5.26 ! [V_k,V_j,V_i] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k) 5.20/5.26 => 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)) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_i,V_j) ) )). 5.20/5.26 5.20/5.26 fof(fact_int__div__less__self,axiom,( 5.20/5.26 ! [V_k,V_x] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_k) 5.20/5.26 => c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_x,V_k),V_x) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_x) ) )). 5.20/5.26 5.20/5.26 fof(fact_int__0__less__1,axiom,( 5.20/5.26 c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) )). 5.20/5.26 5.20/5.26 fof(fact_power__Suc__less,axiom,( 5.20/5.26 ! [V_n,V_a,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.26 => ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) ) ) 5.20/5.26 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,( 5.20/5.26 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_less__Suc__eq,axiom,( 5.20/5.26 ! [V_n_2,V_ma_2] : 5.20/5.26 ( ( V_n_2 = V_ma_2 5.20/5.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,V_n_2) ) 5.20/5.26 <=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) ) )). 5.20/5.26 5.20/5.26 fof(fact_zero__le__zpower__abs,axiom,( 5.20/5.26 ! [V_n,V_x] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_x)),V_n)) )). 5.20/5.26 5.20/5.26 fof(fact_sgn__less,axiom,( 5.20/5.26 ! [V_a_2,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.26 <=> c_Orderings_Oord__class_Oless(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.26 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_one__le__power,axiom,( 5.20/5.26 ! [V_n,V_a,T_a] : 5.20/5.26 ( class_Rings_Olinordered__semidom(T_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) 5.20/5.26 => 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)) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Int__Oint__Rings_Oring,axiom,( 5.20/5.26 class_Rings_Oring(tc_Int_Oint) )). 5.20/5.26 5.20/5.26 fof(fact_div__mult__self2__is__id,axiom,( 5.20/5.26 ! [V_a,V_b,T_a] : 5.20/5.26 ( class_Divides_Osemiring__div(T_a) 5.20/5.26 => ( V_b != c_Groups_Ozero__class_Ozero(T_a) 5.20/5.26 => V_a = c_Divides_Odiv__class_Odiv(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_norm__le__zero__iff,axiom,( 5.20/5.26 ! [V_x_2,T_a] : 5.20/5.26 ( class_RealVector_Oreal__normed__vector(T_a) 5.20/5.26 => ( 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)) 5.20/5.26 <=> c_Groups_Ozero__class_Ozero(T_a) = V_x_2 ) ) )). 5.20/5.26 5.20/5.26 fof(fact_add__0__iff,axiom,( 5.20/5.26 ! [V_a_2,V_b_2,T_a] : 5.20/5.26 ( ( V_b_2 = c_Groups_Oplus__class_Oplus(T_a,V_b_2,V_a_2) 5.20/5.26 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) 5.20/5.26 <= class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_Limits_Ominus__diff__minus,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( class_Groups_Oab__group__add(T_a) 5.20/5.26 => 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)) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult__le__less__imp__less,axiom,( 5.20/5.26 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.26 ( class_Rings_Olinordered__semiring__strict(T_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.26 => ( ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.26 => ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(T_a,V_c,V_d) ) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Groups_Oab__group__add,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Groups_Oab__group__add(T_1) 5.20/5.26 => class_Groups_Oab__group__add(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Orderings_Oord,axiom,( 5.20/5.26 class_Orderings_Oord(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_real__0__le__add__iff,axiom,( 5.20/5.26 ! [V_y_2,V_x_2] : 5.20/5.26 ( 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)) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,V_x_2),V_y_2) ) )). 5.20/5.26 5.20/5.26 fof(fact_diff__less__mono2,axiom,( 5.20/5.26 ! [V_l,V_n,V_m] : 5.20/5.26 ( ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_l) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Olinordered__idom,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Olinordered__idom(T_1) 5.20/5.26 => class_Rings_Olinordered__idom(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.26 5.20/5.26 fof(fact_div__by__1,axiom,( 5.20/5.26 ! [V_a,T_a] : 5.20/5.26 ( class_Divides_Osemiring__div(T_a) 5.20/5.26 => V_a = c_Divides_Odiv__class_Odiv(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) ) )). 5.20/5.26 5.20/5.26 fof(fact_le__Suc__eq,axiom,( 5.20/5.26 ! [V_n_2,V_ma_2] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,c_Nat_OSuc(V_n_2)) 5.20/5.26 <=> ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_ma_2,V_n_2) 5.20/5.26 | c_Nat_OSuc(V_n_2) = V_ma_2 ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Olinordered__idom(T_1) 5.20/5.26 => class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.26 5.20/5.26 fof(fact_add__left__cancel,axiom,( 5.20/5.26 ! [V_ca_2,V_b_2,V_a_2,T_a] : 5.20/5.26 ( ( c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_b_2) = c_Groups_Oplus__class_Oplus(T_a,V_a_2,V_ca_2) 5.20/5.26 <=> V_b_2 = V_ca_2 ) 5.20/5.26 <= class_Groups_Ocancel__semigroup__add(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult__mono_H,axiom,( 5.20/5.26 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.26 ( class_Rings_Oordered__semiring(T_a) 5.20/5.26 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.26 => ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) ) ) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,( 5.20/5.26 class_Rings_Ocomm__semiring(tc_Nat_Onat) )). 5.20/5.26 5.20/5.26 fof(fact_real__mult__right__cancel,axiom,( 5.20/5.26 ! [V_b_2,V_a_2,V_ca_2] : 5.20/5.26 ( ( V_a_2 = V_b_2 5.20/5.26 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_a_2),V_ca_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),V_b_2),V_ca_2) ) 5.20/5.26 <= V_ca_2 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ) )). 5.20/5.26 5.20/5.26 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,( 5.20/5.26 ! [V_q,V_x,T_a] : 5.20/5.26 ( 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)) 5.20/5.26 <= class_Rings_Ocomm__semiring__1(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_less__add__Suc2,axiom,( 5.20/5.26 ! [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))) )). 5.20/5.26 5.20/5.26 fof(fact_le__diff__conv2,axiom,( 5.20/5.26 ! [V_i_2,V_j_2,V_k_2] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_k_2,V_j_2) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_i_2,V_k_2),V_j_2) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i_2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_j_2,V_k_2)) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_Suc__less__SucD,axiom,( 5.20/5.26 ! [V_n,V_m] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) ) )). 5.20/5.26 5.20/5.26 fof(fact_add__leD1,axiom,( 5.20/5.26 ! [V_n,V_k,V_m] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_k),V_n) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Fields_Olinordered__field,axiom,( 5.20/5.26 class_Fields_Olinordered__field(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_power__mult__distrib,axiom,( 5.20/5.26 ! [V_n,V_b,V_a,T_a] : 5.20/5.26 ( 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)) 5.20/5.26 <= class_Groups_Ocomm__monoid__mult(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_order__less__le__trans,axiom,( 5.20/5.26 ! [V_z,V_y,V_x,T_a] : 5.20/5.26 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_x,V_z) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(T_a,V_x,V_y) ) 5.20/5.26 <= class_Orderings_Opreorder(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_neg__le__0__iff__le,axiom,( 5.20/5.26 ! [V_a_2,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2),c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a_2) ) 5.20/5.26 <= class_Groups_Oordered__ab__group__add(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_ab__left__minus,axiom,( 5.20/5.26 ! [V_a,T_a] : 5.20/5.26 ( class_Groups_Oab__group__add(T_a) 5.20/5.26 => 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) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Oring__1,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Oring__1(tc_Polynomial_Opoly(T_1)) 5.20/5.26 <= class_Rings_Ocomm__ring__1(T_1) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Groups_Ominus,axiom,( 5.20/5.26 class_Groups_Ominus(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_linorder__not__less,axiom,( 5.20/5.26 ! [V_y_2,V_x_2,T_a] : 5.20/5.26 ( class_Orderings_Olinorder(T_a) 5.20/5.26 => ( ~ c_Orderings_Oord__class_Oless(T_a,V_x_2,V_y_2) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_y_2,V_x_2) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Oidom(T_1) 5.20/5.26 => class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.26 5.20/5.26 fof(fact_poly__eq__iff,axiom,( 5.20/5.26 ! [V_q_2,V_pa_2,T_a] : 5.20/5.26 ( ( c_Polynomial_Opoly(T_a,V_q_2) = c_Polynomial_Opoly(T_a,V_pa_2) 5.20/5.26 <=> V_q_2 = V_pa_2 ) 5.20/5.26 <= ( class_Int_Oring__char__0(T_a) 5.20/5.26 & class_Rings_Oidom(T_a) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_add__le__less__mono,axiom,( 5.20/5.26 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.26 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) 5.20/5.26 => ( c_Orderings_Oord__class_Oless(T_a,V_c,V_d) 5.20/5.26 => 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)) ) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_pos__poly__mult,axiom,( 5.20/5.26 ! [V_q,V_p,T_a] : 5.20/5.26 ( ( c_Polynomial_Opos__poly(T_a,V_p) 5.20/5.26 => ( c_Polynomial_Opos__poly(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(T_a)),V_p),V_q)) 5.20/5.26 <= c_Polynomial_Opos__poly(T_a,V_q) ) ) 5.20/5.26 <= class_Rings_Olinordered__idom(T_a) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Rings_Oordered__ring,axiom,( 5.20/5.26 class_Rings_Oordered__ring(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_mult__poly__0__left,axiom,( 5.20/5.26 ! [V_q,T_a] : 5.20/5.26 ( 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)) 5.20/5.26 <= class_Rings_Ocomm__semiring__0(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_xt1_I12_J,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( ( ( c_Orderings_Oord__class_Oless(T_a,V_b,V_a) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_b,V_a) ) 5.20/5.26 <= V_a != V_b ) 5.20/5.26 <= class_Orderings_Oorder(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_Suc__eq__plus1,axiom,( 5.20/5.26 ! [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)) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(T_1)) 5.20/5.26 <= class_Rings_Olinordered__idom(T_1) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Groups_Ocancel__comm__monoid__add(T_1) 5.20/5.26 => class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.26 5.20/5.26 fof(fact_order__trans,axiom,( 5.20/5.26 ! [V_z,V_y,V_x,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_y) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_x,V_z) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_y,V_z) ) ) 5.20/5.26 <= class_Orderings_Opreorder(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_abs__of__pos,axiom,( 5.20/5.26 ! [V_a,T_a] : 5.20/5.26 ( ( V_a = c_Groups_Oabs__class_Oabs(T_a,V_a) 5.20/5.26 <= c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) ) 5.20/5.26 <= class_Groups_Oordered__ab__group__add__abs(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_diff__is__0__eq_H,axiom,( 5.20/5.26 ! [V_n,V_m] : 5.20/5.26 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_m,V_n) ) )). 5.20/5.26 5.20/5.26 fof(fact_nat__add__right__cancel,axiom,( 5.20/5.26 ! [V_n_2,V_k_2,V_ma_2] : 5.20/5.26 ( V_n_2 = V_ma_2 5.20/5.26 <=> c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_n_2,V_k_2) = c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_ma_2,V_k_2) ) )). 5.20/5.26 5.20/5.26 fof(fact_less__not__refl,axiom,( 5.20/5.26 ! [V_n] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_n,V_n) )). 5.20/5.26 5.20/5.26 fof(fact_power__0__Suc,axiom,( 5.20/5.26 ! [V_n,T_a] : 5.20/5.26 ( ( class_Rings_Osemiring__0(T_a) 5.20/5.26 & class_Power_Opower(T_a) ) 5.20/5.26 => 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) ) )). 5.20/5.26 5.20/5.26 fof(fact_neg__0__le__iff__le,axiom,( 5.20/5.26 ! [V_a_2,T_a] : 5.20/5.26 ( class_Groups_Oordered__ab__group__add(T_a) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_real__mult__assoc,axiom,( 5.20/5.26 ! [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)) )). 5.20/5.26 5.20/5.26 fof(fact_power__increasing,axiom,( 5.20/5.26 ! [V_a,V_N,V_n,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_n,V_N) 5.20/5.26 => ( 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)) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oone__class_Oone(T_a),V_a) ) ) 5.20/5.26 <= class_Rings_Olinordered__semidom(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_poly__zero,axiom,( 5.20/5.26 ! [V_pa_2,T_a] : 5.20/5.26 ( ( class_Int_Oring__char__0(T_a) 5.20/5.26 & class_Rings_Oidom(T_a) ) 5.20/5.26 => ( c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)) = V_pa_2 5.20/5.26 <=> c_Polynomial_Opoly(T_a,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))) = c_Polynomial_Opoly(T_a,V_pa_2) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_ln__less__self,axiom,( 5.20/5.26 ! [V_x] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) 5.20/5.26 => c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),V_x) ) )). 5.20/5.26 5.20/5.26 fof(fact_real__of__nat__zero__iff,axiom,( 5.20/5.26 ! [V_n_2] : 5.20/5.26 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = V_n_2 5.20/5.26 <=> c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,V_n_2) ) )). 5.20/5.26 5.20/5.26 fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one,axiom,( 5.20/5.26 ! [T_1] : 5.20/5.26 ( class_Rings_Ocomm__semiring__1(T_1) 5.20/5.26 => class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(T_1)) ) )). 5.20/5.26 5.20/5.26 fof(fact_real__of__nat__add,axiom,( 5.20/5.26 ! [V_n,V_m] : c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,V_m,V_n)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealDef_Oreal(tc_Nat_Onat,V_m),c_RealDef_Oreal(tc_Nat_Onat,V_n)) )). 5.20/5.26 5.20/5.26 fof(fact_poly__div__minus__left,axiom,( 5.20/5.26 ! [V_y,V_x,T_a] : 5.20/5.26 ( c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),V_x),V_y) = c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(T_a),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(T_a),V_x,V_y)) 5.20/5.26 <= class_Fields_Ofield(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_less__eq__real__def,axiom,( 5.20/5.26 ! [V_y_2,V_x_2] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,V_x_2,V_y_2) 5.20/5.26 <=> ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x_2,V_y_2) 5.20/5.26 | V_y_2 = V_x_2 ) ) )). 5.20/5.26 5.20/5.26 fof(fact_compl__eq__compl__iff,axiom,( 5.20/5.26 ! [V_y_2,V_x_2,T_a] : 5.20/5.26 ( class_Lattices_Oboolean__algebra(T_a) 5.20/5.26 => ( V_y_2 = V_x_2 5.20/5.26 <=> c_Groups_Ouminus__class_Ouminus(T_a,V_y_2) = c_Groups_Ouminus__class_Ouminus(T_a,V_x_2) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,( 5.20/5.26 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )). 5.20/5.26 5.20/5.26 fof(fact_termination__basic__simps_I5_J,axiom,( 5.20/5.26 ! [V_y,V_x] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_x,V_y) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_x,V_y) ) )). 5.20/5.26 5.20/5.26 fof(fact_split__mult__pos__le,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( ( ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.26 & c_Orderings_Oord__class_Oless__eq(T_a,V_b,c_Groups_Ozero__class_Ozero(T_a)) ) 5.20/5.26 | ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) 5.20/5.26 & c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) ) ) 5.20/5.26 => 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)) ) 5.20/5.26 <= class_Rings_Oordered__ring(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_le__natfloor__eq__one,axiom,( 5.20/5.26 ! [V_x_2] : 5.20/5.26 ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),V_x_2) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_RComplete_Onatfloor(V_x_2)) ) )). 5.20/5.26 5.20/5.26 fof(fact_one__le__mult__iff,axiom,( 5.20/5.26 ! [V_n_2,V_ma_2] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) 5.20/5.26 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ma_2) ) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_n_2)) ) )). 5.20/5.26 5.20/5.26 fof(fact_div__pos__pos__trivial,axiom,( 5.20/5.26 ! [V_b,V_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_a,V_b) 5.20/5.26 => c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Divides_Odiv__class_Odiv(tc_Int_Oint,V_a,V_b) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_div__1,axiom,( 5.20/5.26 ! [V_m] : V_m = c_Divides_Odiv__class_Odiv(tc_Nat_Onat,V_m,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )). 5.20/5.26 5.20/5.26 fof(fact_mult__neg__pos,axiom,( 5.20/5.26 ! [V_b,V_a,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.26 => ( c_Orderings_Oord__class_Oless(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.26 => 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)) ) ) 5.20/5.26 <= class_Rings_Olinordered__semiring__strict(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_unique__quotient__lemma__neg,axiom,( 5.20/5.26 ! [V_r,V_q,V_r_H,V_q_H,V_b] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_r,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) 5.20/5.26 => ( ( c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r_H) 5.20/5.26 => c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,V_q,V_q_H) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Int_Oint,V_b,V_r) ) ) 5.20/5.26 <= 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)) ) )). 5.20/5.26 5.20/5.26 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,( 5.20/5.26 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )). 5.20/5.26 5.20/5.26 fof(fact_mult__mono,axiom,( 5.20/5.26 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.26 ( class_Rings_Oordered__semiring(T_a) 5.20/5.26 => ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_c,V_d) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_b) 5.20/5.26 => ( c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Ozero__class_Ozero(T_a),V_c) 5.20/5.26 => 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)) ) ) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,axiom,( 5.20/5.26 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_add__le__imp__le__left,axiom,( 5.20/5.26 ! [V_b,V_a,V_c,T_a] : 5.20/5.26 ( ( 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)) 5.20/5.26 => c_Orderings_Oord__class_Oless__eq(T_a,V_a,V_b) ) 5.20/5.26 <= class_Groups_Oordered__ab__semigroup__add__imp__le(T_a) ) )). 5.20/5.26 5.20/5.26 fof(fact_diff__Suc__Suc,axiom,( 5.20/5.26 ! [V_n,V_m] : c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n) = c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(V_m),c_Nat_OSuc(V_n)) )). 5.20/5.26 5.20/5.26 fof(fact_le__minus__self__iff,axiom,( 5.20/5.26 ! [V_a_2,T_a] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ozero__class_Ozero(T_a)) 5.20/5.26 <=> c_Orderings_Oord__class_Oless__eq(T_a,V_a_2,c_Groups_Ouminus__class_Ouminus(T_a,V_a_2)) ) 5.20/5.26 <= class_Groups_Olinordered__ab__group__add(T_a) ) )). 5.20/5.26 5.20/5.26 fof(arity_RealDef__Oreal__Rings_Oordered__semiring,axiom,( 5.20/5.26 class_Rings_Oordered__semiring(tc_RealDef_Oreal) )). 5.20/5.26 5.20/5.26 fof(fact_zdiff__zmult__distrib2,axiom,( 5.20/5.26 ! [V_z2,V_z1,V_w] : 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)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),c_Groups_Ominus__class_Ominus(tc_Int_Oint,V_z1,V_z2)) )). 5.20/5.26 5.20/5.26 fof(fact_le__trans,axiom,( 5.20/5.26 ! [V_k,V_j,V_i] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_j,V_k) 5.20/5.26 => c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_k) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,V_i,V_j) ) )). 5.20/5.26 5.20/5.26 fof(fact_diff__less,axiom,( 5.20/5.26 ! [V_m,V_n] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n) 5.20/5.26 => ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,V_m,V_n),V_m) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_m) ) ) )). 5.20/5.26 5.20/5.26 fof(fact_abs__diff__triangle__ineq,axiom,( 5.20/5.26 ! [V_d,V_c,V_b,V_a,T_a] : 5.20/5.26 ( class_Groups_Oordered__ab__group__add__abs(T_a) 5.20/5.26 => c_Orderings_Oord__class_Oless__eq(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,c_Groups_Oplus__class_Oplus(T_a,V_a,V_b),c_Groups_Oplus__class_Oplus(T_a,V_c,V_d))),c_Groups_Oplus__class_Oplus(T_a,c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_a,V_c)),c_Groups_Oabs__class_Oabs(T_a,c_Groups_Ominus__class_Ominus(T_a,V_b,V_d)))) ) )). 5.20/5.26 5.20/5.26 fof(fact_ln__less__zero,axiom,( 5.20/5.26 ! [V_x] : 5.20/5.26 ( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Transcendental_Oln(V_x),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,V_x,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ) 5.20/5.26 <= c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),V_x) ) )). 5.20/5.26 5.20/5.26 fof(fact_zabs__less__one__iff,axiom,( 5.20/5.26 ! [V_z_2] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oabs__class_Oabs(tc_Int_Oint,V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint)) 5.20/5.26 <=> c_Groups_Ozero__class_Ozero(tc_Int_Oint) = V_z_2 ) )). 5.20/5.26 5.20/5.26 fof(fact_Suc__le__lessD,axiom,( 5.20/5.26 ! [V_n,V_m] : 5.20/5.26 ( c_Orderings_Oord__class_Oless(tc_Nat_Onat,V_m,V_n) 5.20/5.26 <= c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Nat_OSuc(V_m),V_n) ) )). 5.20/5.26 5.20/5.26 fof(fact_mult__cancel2,axiom,( 5.20/5.26 ! [V_n_2,V_k_2,V_ma_2] : 5.20/5.26 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) 5.20/5.26 | V_n_2 = V_ma_2 ) 5.20/5.26 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_ma_2),V_k_2) ) )). 5.20/5.26 5.20/5.26 %------------------------------------------- 5.20/5.26 % Proof found 5.20/5.26 % SZS status Theorem for theBenchmark 5.20/5.26 % SZS output start Proof 5.20/5.26 %ClaNum:2018(EqnAxiom:309) 5.20/5.26 %VarNum:9567(SingletonVarNum:3317) 5.20/5.26 %MaxLitNum:7 5.20/5.26 %MaxfuncDepth:6 5.20/5.26 %SharedTerms:273 5.20/5.26 %goalClause: 669 5.20/5.26 %singleGoalClaCount:1 5.20/5.26 [310]P1(a1) 5.20/5.26 [311]P1(a97) 5.20/5.26 [312]P1(a98) 5.20/5.26 [313]P48(a1) 5.20/5.26 [314]P48(a97) 5.20/5.26 [315]P48(a100) 5.20/5.26 [316]P48(a98) 5.20/5.26 [317]P49(a1) 5.20/5.26 [318]P49(a97) 5.20/5.26 [319]P49(a98) 5.20/5.26 [320]P2(a1) 5.20/5.26 [321]P2(a97) 5.20/5.26 [322]P2(a100) 5.20/5.26 [323]P2(a98) 5.20/5.26 [324]P15(a97) 5.20/5.26 [325]P15(a100) 5.20/5.26 [326]P15(a98) 5.20/5.26 [327]P15(a99) 5.20/5.26 [328]P54(a97) 5.20/5.26 [329]P54(a100) 5.20/5.26 [330]P54(a98) 5.20/5.26 [331]P16(a97) 5.20/5.26 [332]P16(a98) 5.20/5.26 [333]P50(a1) 5.20/5.26 [334]P50(a97) 5.20/5.26 [335]P50(a100) 5.20/5.26 [336]P50(a98) 5.20/5.26 [337]P17(a1) 5.20/5.26 [338]P17(a97) 5.20/5.26 [339]P17(a98) 5.20/5.26 [340]P42(a1) 5.20/5.26 [341]P42(a97) 5.20/5.26 [342]P53(a1) 5.20/5.26 [343]P53(a97) 5.20/5.26 [344]P53(a100) 5.20/5.26 [345]P53(a98) 5.20/5.26 [346]P3(a1) 5.20/5.26 [347]P3(a97) 5.20/5.26 [348]P3(a100) 5.20/5.26 [349]P3(a98) 5.20/5.26 [350]P45(a1) 5.20/5.26 [351]P45(a97) 5.20/5.26 [352]P59(a97) 5.20/5.26 [353]P59(a100) 5.20/5.26 [354]P59(a98) 5.20/5.26 [355]P29(a97) 5.20/5.26 [356]P29(a100) 5.20/5.26 [357]P29(a98) 5.20/5.26 [358]P63(a1) 5.20/5.26 [359]P63(a97) 5.20/5.26 [360]P63(a98) 5.20/5.26 [361]P51(a1) 5.20/5.26 [362]P51(a97) 5.20/5.26 [363]P51(a98) 5.20/5.26 [364]P30(a97) 5.20/5.26 [365]P30(a98) 5.20/5.26 [366]P43(a97) 5.20/5.26 [367]P43(a100) 5.20/5.26 [368]P43(a98) 5.20/5.26 [369]P43(a99) 5.20/5.26 [370]P34(a97) 5.20/5.26 [371]P34(a100) 5.20/5.26 [372]P34(a98) 5.20/5.26 [373]P72(a1) 5.20/5.26 [374]P72(a97) 5.20/5.26 [375]P72(a100) 5.20/5.26 [376]P72(a98) 5.20/5.26 [377]P55(a97) 5.20/5.26 [378]P55(a98) 5.20/5.26 [379]P44(a1) 5.20/5.26 [380]P44(a97) 5.20/5.26 [381]P44(a100) 5.20/5.26 [382]P44(a98) 5.20/5.26 [383]P35(a1) 5.20/5.26 [384]P35(a97) 5.20/5.26 [385]P35(a98) 5.20/5.26 [386]P35(a99) 5.20/5.26 [387]P24(a97) 5.20/5.26 [388]P24(a98) 5.20/5.26 [389]P64(a1) 5.20/5.26 [390]P64(a97) 5.20/5.26 [391]P64(a98) 5.20/5.26 [392]P18(a1) 5.20/5.26 [393]P18(a97) 5.20/5.26 [394]P18(a100) 5.20/5.26 [395]P18(a98) 5.20/5.26 [396]P4(a100) 5.20/5.26 [397]P4(a98) 5.20/5.26 [398]P21(a1) 5.20/5.26 [399]P21(a97) 5.20/5.26 [400]P21(a100) 5.20/5.26 [401]P21(a98) 5.20/5.26 [402]P25(a1) 5.20/5.26 [403]P25(a97) 5.20/5.26 [404]P25(a100) 5.20/5.26 [405]P25(a98) 5.20/5.26 [406]P25(a99) 5.20/5.26 [407]P41(a97) 5.20/5.26 [408]P41(a100) 5.20/5.26 [409]P41(a98) 5.20/5.26 [410]P41(a99) 5.20/5.26 [411]P11(a1) 5.20/5.26 [412]P11(a97) 5.20/5.26 [413]P11(a98) 5.20/5.26 [414]P57(a97) 5.20/5.26 [415]P57(a98) 5.20/5.26 [416]P31(a97) 5.20/5.26 [417]P31(a100) 5.20/5.26 [418]P31(a98) 5.20/5.26 [419]P26(a1) 5.20/5.26 [420]P26(a97) 5.20/5.26 [421]P26(a100) 5.20/5.26 [422]P26(a98) 5.20/5.26 [423]P65(a1) 5.20/5.26 [424]P65(a97) 5.20/5.26 [425]P65(a100) 5.20/5.26 [426]P65(a98) 5.20/5.26 [427]P66(a97) 5.20/5.26 [428]P66(a98) 5.20/5.26 [429]P19(a1) 5.20/5.26 [430]P19(a97) 5.20/5.26 [431]P19(a100) 5.20/5.26 [432]P19(a98) 5.20/5.26 [433]P73(a1) 5.20/5.26 [434]P73(a97) 5.20/5.26 [435]P73(a98) 5.20/5.26 [436]P27(a1) 5.20/5.26 [437]P27(a97) 5.20/5.26 [438]P27(a100) 5.20/5.26 [439]P27(a98) 5.20/5.26 [440]P70(a97) 5.20/5.26 [441]P70(a100) 5.20/5.26 [442]P70(a98) 5.20/5.26 [443]P12(a97) 5.20/5.26 [444]P56(a97) 5.20/5.26 [445]P56(a100) 5.20/5.26 [446]P56(a98) 5.20/5.26 [447]P67(a97) 5.20/5.26 [448]P67(a98) 5.20/5.26 [449]P58(a97) 5.20/5.26 [450]P58(a98) 5.20/5.26 [451]P22(a1) 5.20/5.26 [452]P22(a97) 5.20/5.26 [453]P22(a100) 5.20/5.26 [454]P22(a98) 5.20/5.26 [455]P60(a97) 5.20/5.26 [456]P60(a98) 5.20/5.26 [457]P74(a1) 5.20/5.26 [458]P74(a97) 5.20/5.26 [459]P74(a100) 5.20/5.26 [460]P74(a98) 5.20/5.26 [461]P37(a1) 5.20/5.26 [462]P37(a97) 5.20/5.26 [463]P37(a98) 5.20/5.26 [464]P32(a97) 5.20/5.26 [465]P32(a100) 5.20/5.26 [466]P32(a98) 5.20/5.26 [467]P33(a97) 5.20/5.26 [468]P33(a100) 5.20/5.26 [469]P33(a98) 5.20/5.26 [470]P61(a97) 5.20/5.26 [471]P61(a100) 5.20/5.26 [472]P61(a98) 5.20/5.26 [473]P62(a97) 5.20/5.26 [474]P62(a98) 5.20/5.26 [475]P46(a1) 5.20/5.26 [476]P46(a97) 5.20/5.26 [477]P47(a1) 5.20/5.26 [478]P47(a97) 5.20/5.26 [479]P14(a97) 5.20/5.26 [480]P71(a1) 5.20/5.26 [481]P71(a97) 5.20/5.26 [482]P71(a98) 5.20/5.26 [483]P23(a1) 5.20/5.26 [484]P23(a97) 5.20/5.26 [485]P23(a100) 5.20/5.26 [486]P23(a98) 5.20/5.26 [487]P20(a97) 5.20/5.26 [488]P20(a98) 5.20/5.26 [489]P75(a1) 5.20/5.26 [490]P75(a97) 5.20/5.26 [491]P75(a100) 5.20/5.26 [492]P75(a98) 5.20/5.26 [493]P38(a1) 5.20/5.26 [494]P38(a97) 5.20/5.26 [495]P38(a100) 5.20/5.26 [496]P38(a98) 5.20/5.26 [497]P76(a1) 5.20/5.26 [498]P76(a97) 5.20/5.26 [499]P76(a100) 5.20/5.26 [500]P76(a98) 5.20/5.26 [501]P68(a97) 5.20/5.26 [502]P68(a100) 5.20/5.26 [503]P68(a98) 5.20/5.26 [504]P52(a1) 5.20/5.26 [505]P52(a97) 5.20/5.26 [506]P52(a100) 5.20/5.26 [507]P52(a98) 5.20/5.26 [508]P69(a97) 5.20/5.26 [509]P69(a100) 5.20/5.26 [510]P69(a98) 5.20/5.26 [511]P28(a1) 5.20/5.26 [512]P28(a97) 5.20/5.26 [513]P28(a100) 5.20/5.26 [514]P28(a98) 5.20/5.26 [515]P39(a99) 5.20/5.26 [516]P36(a97) 5.20/5.26 [517]P36(a98) 5.20/5.26 [518]P13(a1) 5.20/5.26 [519]P13(a97) 5.20/5.26 [542]P6(a97,f7(a97),a25) 5.20/5.26 [555]P5(a98,f7(a98),f2(a98)) 5.20/5.26 [556]P6(a98,f7(a98),f2(a98)) 5.20/5.26 [560]P5(a97,f7(a97),f22(a1,a102)) 5.20/5.26 [648]~E(f2(a97),f7(a97)) 5.20/5.26 [649]~E(f2(a98),f7(a98)) 5.20/5.26 [520]E(f6(f2(a97)),f7(a97)) 5.20/5.26 [521]E(f12(f7(a97)),f7(a100)) 5.20/5.26 [522]E(f20(f2(a97)),f2(a100)) 5.20/5.26 [523]E(f12(f2(a97)),f2(a100)) 5.20/5.26 [524]E(f20(f7(a97)),f7(a100)) 5.20/5.26 [525]E(f21(a100,f7(a100)),f7(a97)) 5.20/5.26 [526]E(f8(a98,f7(a98)),f7(a98)) 5.20/5.26 [527]E(f21(a100,f2(a100)),f2(a97)) 5.20/5.26 [575]E(f21(a100,f10(a100,f7(a100),f2(a100))),f2(a97)) 5.20/5.26 [602]P5(a97,f7(a97),f3(a97,f24(f24(f9(a97),a104),a105))) 5.20/5.26 [669]~P6(a97,f7(a97),f10(a97,f10(a97,f2(a97),f22(a1,a102)),f3(a97,f24(f24(f9(a97),a104),a105)))) 5.20/5.26 [536]P5(a97,x5361,x5361) 5.20/5.26 [537]P5(a100,x5371,x5371) 5.20/5.26 [538]P5(a98,x5381,x5381) 5.20/5.26 [651]~P6(a100,x6511,x6511) 5.20/5.26 [528]E(f22(a97,x5281),f3(a97,x5281)) 5.20/5.26 [544]E(f5(a100,x5441,x5441),f7(a100)) 5.20/5.26 [546]P5(a100,f7(a100),x5461) 5.20/5.26 [562]P5(a97,f7(a97),f21(a100,x5621)) 5.20/5.26 [654]~P6(a100,x6541,f7(a100)) 5.20/5.26 [663]~P6(a97,f21(a100,x6631),f7(a97)) 5.20/5.26 [529]E(f12(f21(a100,x5291)),x5291) 5.20/5.26 [530]E(f20(f21(a100,x5301)),x5301) 5.20/5.26 [531]E(f8(a98,f8(a98,x5311)),x5311) 5.20/5.26 [532]E(f3(a97,f21(a100,x5321)),f21(a100,x5321)) 5.20/5.26 [533]E(f24(f24(f9(a98),x5331),f2(a98)),x5331) 5.20/5.26 [534]E(f24(f24(f9(a100),x5341),f2(a100)),x5341) 5.20/5.26 [535]E(f24(f24(f9(a100),x5351),f7(a100)),f7(a100)) 5.20/5.26 [547]E(f10(a100,x5471,f7(a100)),x5471) 5.20/5.26 [548]E(f10(a98,x5481,f7(a98)),x5481) 5.20/5.26 [549]E(f5(a100,x5491,f7(a100)),x5491) 5.20/5.26 [550]E(f10(a100,f7(a100),x5501),x5501) 5.20/5.26 [551]E(f10(a98,f7(a98),x5511),x5511) 5.20/5.26 [552]E(f5(a100,f7(a100),x5521),f7(a100)) 5.20/5.26 [553]E(f4(a98,f7(a98),x5531),f7(a98)) 5.20/5.26 [561]E(f10(a98,f8(a98,x5611),x5611),f7(a98)) 5.20/5.26 [563]P5(a97,x5631,f21(a100,f12(x5631))) 5.20/5.26 [577]P5(a97,f8(a97,f22(a1,x5771)),f22(a1,x5771)) 5.20/5.26 [587]P6(a100,x5871,f10(a100,x5871,f2(a100))) 5.20/5.26 [588]P6(a100,f7(a100),f10(a100,x5881,f2(a100))) 5.20/5.26 [594]P6(a97,f5(a97,x5941,f2(a97)),f21(a100,f20(x5941))) 5.20/5.26 [596]P6(a97,f7(a97),f10(a97,f2(a97),f3(a97,x5961))) 5.20/5.26 [600]P6(a97,x6001,f10(a97,f21(a100,f20(x6001)),f2(a97))) 5.20/5.26 [656]~E(f10(a100,x6561,f2(a100)),x6561) 5.20/5.26 [662]~E(f10(a100,x6621,f2(a100)),f7(a100)) 5.20/5.26 [666]~P5(a100,f10(a100,x6661,f2(a100)),x6661) 5.20/5.26 [668]~P6(a97,f10(a97,f3(a97,x6681),f2(a97)),x6681) 5.20/5.26 [539]E(f24(f24(f9(a100),f2(a100)),x5391),x5391) 5.20/5.26 [540]E(f24(f24(f9(a98),f2(a98)),x5401),x5401) 5.20/5.26 [541]E(f24(f24(f9(a97),f2(a97)),x5411),x5411) 5.20/5.26 [543]E(f24(f24(f9(a100),f7(a100)),x5431),f7(a100)) 5.20/5.26 [576]P5(a100,x5761,f24(f24(f9(a100),x5761),x5761)) 5.20/5.26 [590]E(f4(a100,x5901,f10(a100,f7(a100),f2(a100))),x5901) 5.20/5.26 [595]E(f10(a97,f21(a100,x5951),f2(a97)),f21(a100,f10(a100,x5951,f2(a100)))) 5.20/5.26 [605]P6(a97,f7(a97),f21(a100,f10(a100,x6051,f2(a100)))) 5.20/5.26 [667]~E(f10(a98,f10(a98,f2(a98),x6671),x6671),f7(a98)) 5.20/5.26 [618]P5(a100,x6181,f24(f24(f9(a100),x6181),f24(f24(f9(a100),x6181),x6181))) 5.20/5.26 [623]E(f24(f24(f13(a100),f10(a100,f7(a100),f2(a100))),x6231),f10(a100,f7(a100),f2(a100))) 5.20/5.26 [567]E(f10(a100,x5671,x5672),f10(a100,x5672,x5671)) 5.20/5.26 [568]E(f10(a98,x5681,x5682),f10(a98,x5682,x5681)) 5.20/5.26 [580]P5(a100,x5801,f10(a100,x5802,x5801)) 5.20/5.26 [581]P5(a100,x5811,f10(a100,x5811,x5812)) 5.20/5.26 [582]P5(a100,f5(a100,x5821,x5822),x5821) 5.20/5.26 [583]P5(a100,f4(a100,x5831,x5832),x5831) 5.20/5.26 [664]~P6(a100,f10(a100,x6641,x6642),x6642) 5.20/5.26 [665]~P6(a100,f10(a100,x6651,x6652),x6651) 5.20/5.26 [570]E(f10(a1,x5701,f8(a1,x5702)),f5(a1,x5701,x5702)) 5.20/5.26 [572]E(f10(a97,x5721,f8(a97,x5722)),f5(a97,x5721,x5722)) 5.20/5.26 [574]E(f10(a98,x5741,f8(a98,x5742)),f5(a98,x5741,x5742)) 5.20/5.26 [578]E(f4(a98,f8(a98,x5781),f8(a98,x5782)),f4(a98,x5781,x5782)) 5.20/5.26 [579]E(f4(a98,f8(a98,x5791),x5792),f4(a98,x5791,f8(a98,x5792))) 5.20/5.26 [584]E(f5(a100,f10(a100,x5841,x5842),x5842),x5841) 5.20/5.26 [585]E(f5(a100,f10(a100,x5851,x5852),x5851),x5852) 5.20/5.26 [586]E(f5(a100,x5861,f10(a100,x5861,x5862)),f7(a100)) 5.20/5.26 [597]E(f10(a98,f8(a98,x5971),f8(a98,x5972)),f8(a98,f10(a98,x5971,x5972))) 5.20/5.26 [598]E(f10(a97,f21(a100,x5981),f21(a100,x5982)),f21(a100,f10(a100,x5981,x5982))) 5.20/5.26 [604]P6(a100,f5(a100,x6041,x6042),f10(a100,x6041,f2(a100))) 5.20/5.26 [629]P6(a100,x6291,f10(a100,f10(a100,x6292,x6291),f2(a100))) 5.20/5.26 [630]P6(a100,x6301,f10(a100,f10(a100,x6301,x6302),f2(a100))) 5.20/5.26 [643]P5(a97,f22(a1,x6431),f10(a97,f22(a1,f10(a1,x6431,x6432)),f22(a1,x6432))) 5.20/5.26 [644]P5(a97,f5(a97,f22(a1,f10(a1,x6441,x6442)),f22(a1,x6441)),f22(a1,x6442)) 5.20/5.26 [564]E(f24(f24(f9(a97),x5641),x5642),f24(f24(f9(a97),x5642),x5641)) 5.20/5.26 [565]E(f24(f24(f9(a100),x5651),x5652),f24(f24(f9(a100),x5652),x5651)) 5.20/5.26 [566]E(f24(f24(f9(a98),x5661),x5662),f24(f24(f9(a98),x5662),x5661)) 5.20/5.26 [601]P5(a98,f7(a98),f24(f24(f13(a98),f3(a98,x6011)),x6012)) 5.20/5.26 [617]E(f10(a100,f10(a100,x6171,f2(a100)),x6172),f10(a100,f10(a100,x6171,x6172),f2(a100))) 5.20/5.26 [619]E(f3(a97,f10(a97,x6191,f8(a97,x6192))),f3(a97,f10(a97,x6192,f8(a97,x6191)))) 5.20/5.26 [621]E(f10(a100,f10(a100,x6211,f2(a100)),x6212),f10(a100,x6211,f10(a100,x6212,f2(a100)))) 5.20/5.26 [622]E(f5(a100,f5(a100,x6221,f2(a100)),x6222),f5(a100,x6221,f10(a100,x6222,f2(a100)))) 5.20/5.26 [591]E(f24(f24(f9(a98),f8(a98,x5911)),x5912),f8(a98,f24(f24(f9(a98),x5911),x5912))) 5.20/5.26 [593]E(f24(f24(f13(a97),f21(a100,x5931)),x5932),f21(a100,f24(f24(f13(a100),x5931),x5932))) 5.20/5.26 [599]E(f24(f24(f9(a97),f21(a100,x5991)),f21(a100,x5992)),f21(a100,f24(f24(f9(a100),x5991),x5992))) 5.20/5.26 [606]E(f10(a100,x6061,f24(f24(f9(a100),x6061),x6062)),f24(f24(f9(a100),x6061),f10(a100,x6062,f2(a100)))) 5.20/5.26 [624]P5(a97,f8(a97,f24(f24(f9(a97),x6241),x6241)),f24(f24(f9(a97),x6242),x6242)) 5.20/5.26 [635]E(f24(f24(f9(a100),f10(a100,x6351,f2(a100))),x6352),f10(a100,x6352,f24(f24(f9(a100),x6351),x6352))) 5.20/5.26 [608]E(f10(a100,x6081,f10(a100,x6082,x6083)),f10(a100,x6082,f10(a100,x6081,x6083))) 5.20/5.26 [609]E(f10(a98,x6091,f10(a98,x6092,x6093)),f10(a98,x6092,f10(a98,x6091,x6093))) 5.20/5.26 [610]E(f5(a100,f5(a100,x6101,x6102),x6103),f5(a100,x6101,f10(a100,x6102,x6103))) 5.20/5.26 [611]E(f10(a100,f10(a100,x6111,x6112),x6113),f10(a100,x6111,f10(a100,x6112,x6113))) 5.20/5.26 [612]E(f10(a98,f10(a98,x6121,x6122),x6123),f10(a98,x6121,f10(a98,x6122,x6123))) 5.20/5.26 [613]E(f5(a100,f5(a100,x6131,x6132),x6133),f5(a100,f5(a100,x6131,x6133),x6132)) 5.20/5.26 [614]E(f5(a100,f10(a100,x6141,x6142),f10(a100,x6143,x6142)),f5(a100,x6141,x6143)) 5.20/5.26 [615]E(f5(a100,f10(a100,x6151,x6152),f10(a100,x6151,x6153)),f5(a100,x6152,x6153)) 5.20/5.26 [642]E(f5(a100,f5(a100,f10(a100,x6421,f2(a100)),x6422),f10(a100,x6423,f2(a100))),f5(a100,f5(a100,x6421,x6422),x6423)) 5.20/5.26 [607]E(f4(a100,x6071,f24(f24(f9(a100),x6072),x6073)),f4(a100,f4(a100,x6071,x6072),x6073)) 5.20/5.26 [631]E(f5(a100,f24(f24(f9(a100),x6311),x6312),f24(f24(f9(a100),x6311),x6313)),f24(f24(f9(a100),x6311),f5(a100,x6312,x6313))) 5.20/5.26 [632]E(f10(a98,f24(f24(f9(a98),x6321),x6322),f24(f24(f9(a98),x6321),x6323)),f24(f24(f9(a98),x6321),f10(a98,x6322,x6323))) 5.20/5.26 [633]E(f10(a100,f24(f24(f9(a100),x6331),x6332),f24(f24(f9(a100),x6331),x6333)),f24(f24(f9(a100),x6331),f10(a100,x6332,x6333))) 5.20/5.26 [634]E(f5(a98,f24(f24(f9(a98),x6341),x6342),f24(f24(f9(a98),x6341),x6343)),f24(f24(f9(a98),x6341),f5(a98,x6342,x6343))) 5.20/5.26 [636]E(f24(f24(f9(a98),f24(f24(f13(a98),x6361),x6362)),f24(f24(f13(a98),x6361),x6363)),f24(f24(f13(a98),x6361),f10(a100,x6362,x6363))) 5.20/5.26 [637]E(f10(a100,f24(f24(f9(a100),x6371),x6372),f24(f24(f9(a100),x6373),x6372)),f24(f24(f9(a100),f10(a100,x6371,x6373)),x6372)) 5.20/5.26 [638]E(f5(a100,f24(f24(f9(a100),x6381),x6382),f24(f24(f9(a100),x6383),x6382)),f24(f24(f9(a100),f5(a100,x6381,x6383)),x6382)) 5.20/5.26 [639]E(f10(a97,f24(f24(f9(a97),x6391),x6392),f24(f24(f9(a97),x6393),x6392)),f24(f24(f9(a97),f10(a97,x6391,x6393)),x6392)) 5.20/5.26 [640]E(f10(a98,f24(f24(f9(a98),x6401),x6402),f24(f24(f9(a98),x6403),x6402)),f24(f24(f9(a98),f10(a98,x6401,x6403)),x6402)) 5.20/5.26 [641]E(f5(a98,f24(f24(f9(a98),x6411),x6412),f24(f24(f9(a98),x6413),x6412)),f24(f24(f9(a98),f5(a98,x6411,x6413)),x6412)) 5.20/5.26 [625]E(f24(f24(f9(a100),f24(f24(f9(a100),x6251),x6252)),x6253),f24(f24(f9(a100),x6251),f24(f24(f9(a100),x6252),x6253))) 5.20/5.26 [626]E(f24(f24(f9(a98),f24(f24(f9(a98),x6261),x6262)),x6263),f24(f24(f9(a98),x6261),f24(f24(f9(a98),x6262),x6263))) 5.20/5.26 [627]E(f24(f24(f9(a97),f24(f24(f9(a97),x6271),x6272)),x6273),f24(f24(f9(a97),x6271),f24(f24(f9(a97),x6272),x6273))) 5.20/5.26 [628]E(f24(f24(f13(a98),f24(f24(f13(a98),x6281),x6282)),x6283),f24(f24(f13(a98),x6281),f24(f24(f9(a100),x6282),x6283))) 5.20/5.26 [603]E(f24(f24(f14(x6031,x6032,x6033),x6034),f7(a100)),x6032) 5.20/5.26 [647]P5(a97,f3(a97,f10(a97,f10(a97,x6471,x6472),f10(a97,f8(a97,x6473),f8(a97,x6474)))),f10(a97,f3(a97,f10(a97,x6471,f8(a97,x6473))),f3(a97,f10(a97,x6472,f8(a97,x6474))))) 5.20/5.26 [646]E(f10(a100,f24(f24(f9(a100),x6461),x6462),f10(a100,f24(f24(f9(a100),x6463),x6462),x6464)),f10(a100,f24(f24(f9(a100),f10(a100,x6461,x6463)),x6462),x6464)) 5.20/5.26 [645]E(f24(f24(f14(x6451,x6452,x6453),x6454),f10(a100,x6455,f2(a100))),f24(f24(x6453,x6454),f24(f24(f14(x6451,x6452,x6453),x6454),x6455))) 5.20/5.26 [670]~P1(x6701)+P1(f101(x6701)) 5.20/5.26 [671]~P50(x6711)+P48(f101(x6711)) 5.20/5.26 [672]~P49(x6721)+P49(f101(x6721)) 5.20/5.26 [673]~P50(x6731)+P2(f101(x6731)) 5.20/5.26 [674]~P55(x6741)+P15(f101(x6741)) 5.20/5.26 [675]~P55(x6751)+P54(f101(x6751)) 5.20/5.26 [676]~P55(x6761)+P16(f101(x6761)) 5.20/5.26 [677]~P50(x6771)+P50(f101(x6771)) 5.20/5.26 [678]~P11(x6781)+P17(f101(x6781)) 5.20/5.26 [679]~P53(x6791)+P53(f101(x6791)) 5.20/5.26 [680]~P21(x6801)+P3(f101(x6801)) 5.20/5.26 [681]~P55(x6811)+P59(f101(x6811)) 5.20/5.26 [682]~P55(x6821)+P29(f101(x6821)) 5.20/5.26 [683]~P49(x6831)+P63(f101(x6831)) 5.20/5.26 [684]~P51(x6841)+P51(f101(x6841)) 5.20/5.26 [685]~P55(x6851)+P30(f101(x6851)) 5.20/5.26 [686]~P55(x6861)+P43(f101(x6861)) 5.20/5.26 [687]~P55(x6871)+P34(f101(x6871)) 5.20/5.26 [688]~P50(x6881)+P72(f101(x6881)) 5.20/5.26 [689]~P55(x6891)+P55(f101(x6891)) 5.20/5.26 [690]~P53(x6901)+P44(f101(x6901)) 5.20/5.26 [691]~P11(x6911)+P35(f101(x6911)) 5.20/5.26 [692]~P55(x6921)+P24(f101(x6921)) 5.20/5.26 [693]~P1(x6931)+P64(f101(x6931)) 5.20/5.26 [694]~P18(x6941)+P18(f101(x6941)) 5.20/5.26 [695]~P13(x6951)+P4(f101(x6951)) 5.20/5.26 [696]~P21(x6961)+P21(f101(x6961)) 5.20/5.26 [697]~P11(x6971)+P25(f101(x6971)) 5.20/5.26 [698]~P55(x6981)+P41(f101(x6981)) 5.20/5.26 [699]~P11(x6991)+P11(f101(x6991)) 5.20/5.26 [700]~P55(x7001)+P57(f101(x7001)) 5.20/5.26 [701]~P55(x7011)+P31(f101(x7011)) 5.20/5.26 [702]~P53(x7021)+P26(f101(x7021)) 5.20/5.26 [703]~P49(x7031)+P65(f101(x7031)) 5.20/5.26 [704]~P55(x7041)+P66(f101(x7041)) 5.20/5.26 [705]~P18(x7051)+P19(f101(x7051)) 5.20/5.26 [706]~P49(x7061)+P73(f101(x7061)) 5.20/5.26 [707]~P21(x7071)+P27(f101(x7071)) 5.20/5.26 [708]~P55(x7081)+P70(f101(x7081)) 5.20/5.26 [709]~P55(x7091)+P56(f101(x7091)) 5.20/5.26 [710]~P55(x7101)+P67(f101(x7101)) 5.20/5.26 [711]~P55(x7111)+P58(f101(x7111)) 5.20/5.26 [712]~P18(x7121)+P22(f101(x7121)) 5.20/5.26 [713]~P55(x7131)+P60(f101(x7131)) 5.20/5.26 [714]~P50(x7141)+P74(f101(x7141)) 5.20/5.26 [715]~P55(x7151)+P37(f101(x7151)) 5.20/5.26 [716]~P55(x7161)+P32(f101(x7161)) 5.20/5.26 [717]~P55(x7171)+P33(f101(x7171)) 5.20/5.26 [718]~P55(x7181)+P61(f101(x7181)) 5.20/5.26 [719]~P55(x7191)+P62(f101(x7191)) 5.20/5.26 [720]~P51(x7201)+P71(f101(x7201)) 5.20/5.26 [721]~P53(x7211)+P23(f101(x7211)) 5.20/5.26 [722]~P55(x7221)+P20(f101(x7221)) 5.20/5.26 [723]~P49(x7231)+P75(f101(x7231)) 5.20/5.26 [724]~P38(x7241)+P38(f101(x7241)) 5.20/5.26 [725]~P53(x7251)+P76(f101(x7251)) 5.20/5.26 [726]~P55(x7261)+P68(f101(x7261)) 5.20/5.26 [727]~P50(x7271)+P52(f101(x7271)) 5.20/5.26 [728]~P55(x7281)+P69(f101(x7281)) 5.20/5.26 [729]~P53(x7291)+P28(f101(x7291)) 5.20/5.26 [730]~P55(x7301)+P36(f101(x7301)) 5.20/5.26 [732]~P76(x7321)+~E(f2(x7321),f7(x7321)) 5.20/5.26 [733]~E(f7(a100),x7331)+E(f21(a100,x7331),f7(a97)) 5.20/5.26 [734]~E(f7(a97),x7341)+E(f11(a97,x7341),f7(a97)) 5.20/5.26 [735]~E(x7351,f7(a97))+E(f11(a97,x7351),f7(a97)) 5.20/5.26 [736]~E(x7361,f7(a98))+E(f11(a98,x7361),f7(a98)) 5.20/5.26 [737]E(f7(a100),x7371)+~E(f21(a100,x7371),f7(a97)) 5.20/5.26 [792]E(x7921,f7(a98))+E(f4(a98,x7921,x7921),f2(a98)) 5.20/5.26 [796]E(f7(a100),x7961)+P6(a100,f7(a100),x7961) 5.20/5.26 [834]~P42(x8341)+P5(a97,f7(a97),f49(x8341)) 5.20/5.26 [835]~P42(x8351)+P6(a97,f7(a97),f50(x8351)) 5.20/5.26 [842]E(f3(a97,x8421),x8421)+P6(a97,x8421,f7(a97)) 5.20/5.26 [843]E(f3(a98,x8431),x8431)+P6(a98,x8431,f7(a98)) 5.20/5.26 [855]~P54(x8551)+P5(x8551,f7(x8551),f2(x8551)) 5.20/5.26 [856]~P54(x8561)+P6(x8561,f7(x8561),f2(x8561)) 5.20/5.26 [875]~E(f7(a100),x8751)+P5(a97,f21(a100,x8751),f7(a97)) 5.20/5.26 [876]~E(f7(a98),x8761)+P6(a98,f3(a98,x8761),f2(a98)) 5.20/5.26 [913]E(x9131,f7(a100))+~P5(a100,x9131,f7(a100)) 5.20/5.26 [919]E(f7(a100),f12(x9191))+~P5(a97,x9191,f7(a97)) 5.20/5.26 [920]E(f7(a100),f20(x9201))+~P5(a97,x9201,f7(a97)) 5.20/5.26 [946]~P6(a97,f7(a97),x9461)+E(f11(a97,x9461),f2(a97)) 5.20/5.26 [972]~P54(x9721)+~P5(x9721,f2(x9721),f7(x9721)) 5.20/5.26 [973]~P54(x9731)+~P6(x9731,f2(x9731),f7(x9731)) 5.20/5.26 [975]E(f8(a97,x9751),f3(a97,x9751))+~P6(a97,x9751,f7(a97)) 5.20/5.26 [976]E(f8(a98,x9761),f3(a98,x9761))+~P6(a98,x9761,f7(a98)) 5.20/5.26 [1010]E(f7(a100),x10101)+~P5(a97,f21(a100,x10101),f7(a97)) 5.20/5.26 [1011]E(f7(a98),x10111)+~P6(a98,f3(a98,x10111),f2(a98)) 5.20/5.26 [1049]~P6(a98,f7(a98),x10491)+P5(a98,f2(a98),x10491) 5.20/5.26 [1050]~P5(a98,f2(a98),x10501)+P6(a98,f7(a98),x10501) 5.20/5.26 [1053]P6(a97,f6(x10531),x10531)+~P6(a97,f7(a97),x10531) 5.20/5.26 [1080]~P5(a97,x10801,f2(a97))+P5(a100,f12(x10801),f2(a100)) 5.20/5.26 [1081]~P5(a97,f2(a97),x10811)+P5(a97,f7(a97),f6(x10811)) 5.20/5.26 [1082]~P5(a97,f2(a97),x10821)+P5(a100,f2(a100),f20(x10821)) 5.20/5.26 [1083]~P6(a97,f2(a97),x10831)+P6(a97,f7(a97),f6(x10831)) 5.20/5.26 [1088]~P5(a100,f12(x10881),f2(a100))+P5(a97,x10881,f2(a97)) 5.20/5.26 [1089]~P5(a100,f2(a100),f20(x10891))+P5(a97,f2(a97),x10891) 5.20/5.26 [1097]~P6(a100,f7(a100),x10971)+P6(a97,f7(a97),f21(a100,x10971)) 5.20/5.26 [1141]P6(a100,f7(a100),x11411)+~P6(a97,f7(a97),f21(a100,x11411)) 5.20/5.26 [738]~P46(x7381)+E(f22(x7381,f2(x7381)),f2(a97)) 5.20/5.26 [739]~P45(x7391)+E(f22(x7391,f7(x7391)),f7(a97)) 5.20/5.26 [742]~P17(x7421)+E(f8(x7421,f7(x7421)),f7(x7421)) 5.20/5.26 [743]~P36(x7431)+E(f11(x7431,f7(x7431)),f7(x7431)) 5.20/5.26 [744]~P30(x7441)+E(f3(x7441,f7(x7441)),f7(x7441)) 5.20/5.26 [745]~P45(x7451)+E(f11(x7451,f7(x7451)),f7(x7451)) 5.20/5.26 [746]~P46(x7461)+E(f11(x7461,f2(x7461)),f2(x7461)) 5.20/5.26 [747]~P55(x7471)+E(f3(x7471,f2(x7471)),f2(x7471)) 5.20/5.26 [791]~P55(x7911)+~P7(x7911,f7(f101(x7911))) 5.20/5.26 [865]~P44(x8651)+E(f14(x8651,f2(x8651),f9(x8651)),f13(x8651)) 5.20/5.26 [1084]~P6(a100,f7(a100),x10841)+E(f10(a100,f36(x10841),f2(a100)),x10841) 5.20/5.26 [1115]~P5(a97,f7(a97),x11151)+P6(a97,x11151,f21(a100,f85(x11151))) 5.20/5.26 [1116]~P5(a97,f7(a97),x11161)+P5(a97,f21(a100,f20(x11161)),x11161) 5.20/5.26 [1117]~P5(a97,f7(a97),x11171)+P5(a97,f21(a100,f54(x11171)),x11171) 5.20/5.26 [1185]~P54(x11851)+P6(x11851,f7(x11851),f10(x11851,f2(x11851),f2(x11851))) 5.20/5.26 [1340]~P5(a98,f7(a98),x13401)+P6(a98,f7(a98),f10(a98,f2(a98),x13401)) 5.20/5.26 [1342]~P6(a100,f7(a100),x13421)+E(f10(a100,f5(a100,x13421,f2(a100)),f2(a100)),x13421) 5.20/5.26 [1362]E(f7(a100),x13621)+~P6(a100,x13621,f10(a100,f7(a100),f2(a100))) 5.20/5.26 [1710]~P6(a100,f7(a100),x17101)+E(f10(a100,f5(a100,x17101,f10(a100,f7(a100),f2(a100))),f2(a100)),x17101) 5.20/5.26 [785]~P11(x7851)+E(f8(f101(x7851),f7(f101(x7851))),f7(f101(x7851))) 5.20/5.26 [1063]E(f7(a97),x10631)+P6(a97,f7(a97),f24(f24(f9(a97),x10631),x10631)) 5.20/5.26 [1276]~E(f7(a97),x12761)+~P6(a97,f7(a97),f24(f24(f9(a97),x12761),x12761)) 5.20/5.26 [1353]~P5(a97,f7(a97),x13531)+E(f12(f10(a97,x13531,f2(a97))),f10(a100,f12(x13531),f2(a100))) 5.20/5.26 [1354]~P5(a97,f7(a97),x13541)+E(f20(f10(a97,x13541,f2(a97))),f10(a100,f20(x13541),f2(a100))) 5.20/5.26 [1440]~P5(a97,f22(a1,x14401),a104)+P5(a97,f22(a1,f24(f17(a1,a106),x14401)),a105) 5.20/5.26 [1441]~P5(a97,f22(a1,x14411),a104)+P5(a97,f22(a1,f24(f17(a1,a106),x14411)),a25) 5.20/5.26 [1442]~P5(a97,f22(a1,x14421),a104)+P5(a97,f22(a1,f24(f17(a1,a106),x14421)),a74) 5.20/5.26 [1565]~P5(a97,f7(a97),x15651)+P5(a97,f6(f10(a97,f2(a97),x15651)),x15651) 5.20/5.26 [1615]~P5(a97,f7(a97),x16151)+P6(a97,x16151,f21(a100,f10(a100,f54(x16151),f2(a100)))) 5.20/5.26 [1616]~P5(a97,f7(a97),x16161)+P5(a97,f21(a100,f5(a100,f85(x16161),f2(a100))),x16161) 5.20/5.26 [1706]~P6(a98,x17061,f7(a98))+P6(a98,f10(a98,f10(a98,f2(a98),x17061),x17061),f7(a98)) 5.20/5.26 [1862]P6(a98,x18621,f7(a98))+~P6(a98,f10(a98,f10(a98,f2(a98),x18621),x18621),f7(a98)) 5.20/5.26 [786]~E(x7862,x7861)+P5(a97,x7861,x7862) 5.20/5.26 [788]~E(x7882,x7881)+P5(a100,x7881,x7882) 5.20/5.26 [789]~E(x7891,x7892)+P5(a100,x7891,x7892) 5.20/5.26 [807]~P43(x8071)+P5(x8071,x8072,x8072) 5.20/5.26 [883]~E(x8831,x8832)+~P6(a97,x8831,x8832) 5.20/5.26 [888]~E(x8881,x8882)+~P6(a100,x8881,x8882) 5.20/5.26 [889]~E(x8891,x8892)+~P6(a98,x8891,x8892) 5.20/5.26 [914]~P6(x9141,x9142,x9142)+~P43(x9141) 5.20/5.26 [953]P5(a97,x9532,x9531)+P5(a97,x9531,x9532) 5.20/5.26 [954]P5(a100,x9542,x9541)+P5(a100,x9541,x9542) 5.20/5.26 [955]P5(a98,x9552,x9551)+P5(a98,x9551,x9552) 5.20/5.26 [1019]~P6(a97,x10191,x10192)+P5(a97,x10191,x10192) 5.20/5.26 [1024]~P6(a100,x10241,x10242)+P5(a100,x10241,x10242) 5.20/5.26 [1025]~P6(a98,x10251,x10252)+P5(a98,x10251,x10252) 5.20/5.26 [757]~P15(x7572)+P15(f103(x7571,x7572)) 5.20/5.26 [758]~P43(x7582)+P43(f103(x7581,x7582)) 5.20/5.26 [759]~P35(x7592)+P35(f103(x7591,x7592)) 5.20/5.26 [760]~P25(x7602)+P25(f103(x7601,x7602)) 5.20/5.26 [761]~P41(x7612)+P41(f103(x7611,x7612)) 5.20/5.26 [762]~P39(x7622)+P39(f103(x7621,x7622)) 5.20/5.26 [769]E(x7691,x7692)+~E(f21(a100,x7691),f21(a100,x7692)) 5.20/5.26 [794]E(f10(a100,x7941,x7942),x7942)+~E(f7(a100),x7941) 5.20/5.26 [806]~E(f7(a98),x8062)+E(f4(a98,x8061,x8062),f7(a98)) 5.20/5.26 [815]~P17(x8151)+E(f5(x8151,x8152,x8152),f7(x8151)) 5.20/5.26 [840]P5(a98,x8402,x8401)+E(f16(x8401,x8402),f7(a98)) 5.20/5.26 [864]~E(f8(a97,x8641),x8642)+E(f10(a97,x8641,x8642),f7(a97)) 5.20/5.26 [890]~P30(x8901)+P5(x8901,x8902,f3(x8901,x8902)) 5.20/5.26 [897]~E(f10(a100,x8972,x8971),x8972)+E(x8971,f7(a100)) 5.20/5.26 [899]~P45(x8991)+P5(a97,f7(a97),f22(x8991,x8992)) 5.20/5.26 [900]~P42(x9002)+P5(a97,f7(a97),f51(x9001,x9002)) 5.20/5.26 [901]~P42(x9012)+P5(a97,f7(a97),f67(x9011,x9012)) 5.20/5.26 [902]~P42(x9022)+P6(a97,f7(a97),f26(x9021,x9022)) 5.20/5.26 [903]~P42(x9032)+P6(a97,f7(a97),f68(x9031,x9032)) 5.20/5.26 [906]~P6(a100,x9062,x9061)+~E(f7(a100),x9061) 5.20/5.26 [907]E(x9071,f7(a100))+~E(f10(a100,x9072,x9071),f7(a100)) 5.20/5.26 [908]E(f7(a100),x9081)+~E(f10(a100,x9081,x9082),f7(a100)) 5.20/5.26 [916]~P30(x9161)+P5(x9161,f7(x9161),f3(x9161,x9162)) 5.20/5.26 [939]E(f8(a97,x9391),x9392)+~E(f10(a97,x9391,x9392),f7(a97)) 5.20/5.26 [977]~P30(x9771)+P5(x9771,f8(x9771,x9772),f3(x9771,x9772)) 5.20/5.26 [1017]~P45(x10171)+~P6(a97,f22(x10171,x10172),f7(a97)) 5.20/5.26 [1033]~P5(a100,x10331,x10332)+E(f5(a100,x10331,x10332),f7(a100)) 5.20/5.26 [1034]~P6(a100,x10341,x10342)+E(f4(a100,x10341,x10342),f7(a100)) 5.20/5.26 [1041]P5(a100,x10411,x10412)+~E(f5(a100,x10411,x10412),f7(a100)) 5.20/5.26 [1047]~P30(x10471)+~P6(x10471,f3(x10471,x10472),f7(x10471)) 5.20/5.26 [1059]~P5(a97,x10591,x10592)+P5(a100,f12(x10591),f12(x10592)) 5.20/5.26 [1060]~P5(a97,x10601,x10602)+P5(a100,f20(x10601),f20(x10602)) 5.20/5.26 [1074]~P5(a98,x10742,x10741)+E(f5(a98,x10741,x10742),f16(x10741,x10742)) 5.20/5.26 [1090]E(f4(a98,x10901,x10902),f23(x10901,x10902))+~P5(a98,f7(a98),x10902) 5.20/5.26 [1112]P5(a97,x11121,x11122)+~P5(a97,f3(a97,x11121),x11122) 5.20/5.26 [1122]P5(a100,x11221,f20(x11222))+~P5(a97,f21(a100,x11221),x11222) 5.20/5.26 [1123]P5(a100,f12(x11231),x11232)+~P5(a97,x11231,f21(a100,x11232)) 5.20/5.26 [1147]~P5(a100,x11471,x11472)+P5(a97,f21(a100,x11471),f21(a100,x11472)) 5.20/5.26 [1148]~P6(a100,x11481,x11482)+P6(a97,f21(a100,x11481),f21(a100,x11482)) 5.20/5.26 [1183]~P5(a97,f3(a97,x11832),x11831)+P5(a97,f8(a97,x11831),x11832) 5.20/5.26 [1205]P5(a100,x12051,x12052)+~P5(a97,f21(a100,x12051),f21(a100,x12052)) 5.20/5.26 [1206]P6(a100,x12061,x12062)+~P6(a97,f21(a100,x12061),f21(a100,x12062)) 5.20/5.26 [1310]~P6(a100,x13102,x13101)+P6(a100,f7(a100),f5(a100,x13101,x13102)) 5.20/5.26 [1311]~P5(a97,x13111,x13112)+P5(a97,f5(a97,x13111,x13112),f7(a97)) 5.20/5.26 [1312]~P6(a98,x13121,x13122)+P6(a98,f5(a98,x13121,x13122),f7(a98)) 5.20/5.26 [1375]~P5(a97,f8(a97,x13751),x13752)+P5(a97,f7(a97),f10(a97,x13751,x13752)) 5.20/5.26 [1376]~P6(a97,f8(a97,x13761),x13762)+P6(a97,f7(a97),f10(a97,x13761,x13762)) 5.20/5.26 [1377]~P5(a97,x13772,f8(a97,x13771))+P5(a97,f10(a97,x13771,x13772),f7(a97)) 5.20/5.26 [1378]~P6(a97,x13782,f8(a97,x13781))+P6(a97,f10(a97,x13781,x13782),f7(a97)) 5.20/5.26 [1411]P6(a100,x14111,x14112)+~P6(a100,f7(a100),f5(a100,x14112,x14111)) 5.20/5.26 [1412]P5(a97,x14121,x14122)+~P5(a97,f5(a97,x14121,x14122),f7(a97)) 5.20/5.26 [1413]P6(a98,x14131,x14132)+~P6(a98,f5(a98,x14131,x14132),f7(a98)) 5.20/5.26 [1457]P5(a97,x14571,f8(a97,x14572))+~P5(a97,f10(a97,x14572,x14571),f7(a97)) 5.20/5.26 [1458]P6(a97,x14581,f8(a97,x14582))+~P6(a97,f10(a97,x14582,x14581),f7(a97)) 5.20/5.26 [1459]P5(a97,f8(a97,x14591),x14592)+~P5(a97,f7(a97),f10(a97,x14591,x14592)) 5.20/5.26 [1460]P6(a97,f8(a97,x14601),x14602)+~P6(a97,f7(a97),f10(a97,x14601,x14602)) 5.20/5.26 [774]~P17(x7741)+E(f8(x7741,f8(x7741,x7742)),x7742) 5.20/5.26 [775]~P39(x7751)+E(f8(x7751,f8(x7751,x7752)),x7752) 5.20/5.26 [793]~P45(x7931)+E(f3(a97,f22(x7931,x7932)),f22(x7931,x7932)) 5.20/5.26 [802]~P45(x8021)+E(f22(x8021,f8(x8021,x8022)),f22(x8021,x8022)) 5.20/5.26 [803]~P30(x8031)+E(f3(x8031,f3(x8031,x8032)),f3(x8031,x8032)) 5.20/5.26 [804]~P55(x8041)+E(f11(x8041,f11(x8041,x8042)),f11(x8041,x8042)) 5.20/5.26 [805]~P30(x8051)+E(f3(x8051,f8(x8051,x8052)),f3(x8051,x8052)) 5.20/5.26 [809]~P53(x8091)+E(f24(f24(f13(x8091),x8092),f2(a100)),x8092) 5.20/5.26 [810]~P26(x8101)+E(f24(f24(f13(x8101),x8102),f2(a100)),x8102) 5.20/5.26 [816]~P53(x8161)+E(f24(f24(f9(x8161),x8162),f2(x8161)),x8162) 5.20/5.26 [817]~P23(x8171)+E(f24(f24(f9(x8171),x8172),f2(x8171)),x8172) 5.20/5.26 [818]~P26(x8181)+E(f24(f24(f9(x8181),x8182),f2(x8181)),x8182) 5.20/5.26 [819]~P53(x8191)+E(f24(f24(f13(x8191),x8192),f7(a100)),f2(x8191)) 5.20/5.26 [820]~P44(x8201)+E(f24(f24(f13(x8201),x8202),f7(a100)),f2(x8201)) 5.20/5.26 [822]~P53(x8221)+E(f10(x8221,x8222,f7(x8221)),x8222) 5.20/5.26 [823]~P27(x8231)+E(f10(x8231,x8232,f7(x8231)),x8232) 5.20/5.26 [824]~P17(x8241)+E(f5(x8241,x8242,f7(x8241)),x8242) 5.20/5.26 [825]~P4(x8251)+E(f4(x8251,x8252,f2(x8251)),x8252) 5.20/5.26 [826]~P27(x8261)+E(f10(x8261,f7(x8261),x8262),x8262) 5.20/5.26 [827]~P21(x8271)+E(f10(x8271,x8272,f7(x8271)),x8272) 5.20/5.26 [828]~P53(x8281)+E(f10(x8281,f7(x8281),x8282),x8282) 5.20/5.26 [829]~P21(x8291)+E(f10(x8291,f7(x8291),x8292),x8292) 5.20/5.26 [836]~P48(x8361)+E(f24(f24(f9(x8361),x8362),f7(x8361)),f7(x8361)) 5.20/5.26 [838]~P42(x8381)+E(f24(f24(f9(x8381),x8382),f7(x8381)),f7(x8381)) 5.20/5.26 [839]~P53(x8391)+E(f24(f24(f9(x8391),x8392),f7(x8391)),f7(x8391)) 5.20/5.26 [847]~P4(x8471)+E(f4(x8471,x8472,f7(x8471)),f7(x8471)) 5.20/5.26 [848]~P4(x8481)+E(f4(x8481,f7(x8481),x8482),f7(x8481)) 5.20/5.26 [870]~P17(x8701)+E(f5(x8701,f7(x8701),x8702),f8(x8701,x8702)) 5.20/5.26 [872]~E(x8721,x8722)+E(f10(a97,x8721,f8(a97,x8722)),f7(a97)) 5.20/5.26 [882]~P45(x8821)+E(f11(x8821,f8(x8821,x8822)),f8(x8821,f11(x8821,x8822))) 5.20/5.26 [909]~P17(x9091)+E(f10(x9091,x9092,f8(x9091,x9092)),f7(x9091)) 5.20/5.26 [910]~P17(x9101)+E(f10(x9101,f8(x9101,x9102),x9102),f7(x9101)) 5.20/5.26 [911]~P11(x9111)+E(f10(x9111,f8(x9111,x9112),x9112),f7(x9111)) 5.20/5.26 [936]~P55(x9361)+E(f24(f24(f9(x9361),x9362),f11(x9361,x9362)),f3(x9361,x9362)) 5.20/5.26 [1005]E(x10051,x10052)+~E(f10(a97,x10051,f8(a97,x10052)),f7(a97)) 5.20/5.26 [1009]E(x10091,x10092)+~E(f24(x10091,f76(x10091,x10092)),f24(x10092,f76(x10091,x10092))) 5.20/5.26 [1028]~P55(x10281)+E(f24(f24(f9(x10281),f11(x10281,x10282)),f3(x10281,x10282)),x10282) 5.20/5.26 [1051]~P30(x10511)+P5(x10511,f8(x10511,f3(x10511,x10512)),f7(x10511)) 5.20/5.26 [1052]P6(a100,f7(a100),x10521)+~E(f10(a100,x10522,f2(a100)),x10521) 5.20/5.26 [1093]~P5(a100,x10931,x10932)+E(f10(a100,x10931,f28(x10932,x10931)),x10932) 5.20/5.26 [1094]~P5(a100,x10941,x10942)+E(f10(a100,x10941,f84(x10942,x10941)),x10942) 5.20/5.26 [1095]~E(x10952,x10951)+P6(a100,x10951,f10(a100,x10952,f2(a100))) 5.20/5.26 [1096]~E(x10962,x10961)+P6(a98,x10961,f10(a98,x10962,f2(a98))) 5.20/5.26 [1100]~E(f7(a100),x11001)+P6(a100,x11001,f10(a100,x11002,f2(a100))) 5.20/5.26 [1140]~P54(x11401)+P6(x11401,x11402,f10(x11401,x11402,f2(x11401))) 5.20/5.26 [1207]P6(a100,x12072,x12071)+E(f10(a100,x12071,f5(a100,x12072,x12071)),x12072) 5.20/5.26 [1227]P6(a100,x12271,x12272)+P6(a100,x12272,f10(a100,x12271,f2(a100))) 5.20/5.26 [1228]P5(a100,x12281,x12282)+P5(a100,f10(a100,x12282,f2(a100)),x12281) 5.20/5.26 [1301]~P5(a100,x13011,x13012)+E(f10(a100,x13011,f5(a100,x13012,x13011)),x13012) 5.20/5.26 [1302]~P5(a100,x13022,x13021)+E(f5(a100,x13021,f5(a100,x13021,x13022)),x13022) 5.20/5.26 [1303]~P5(a100,x13032,x13031)+E(f10(a100,f5(a100,x13031,x13032),x13032),x13031) 5.20/5.26 [1317]~P6(a98,x13171,x13172)+P5(a98,x13171,f5(a98,x13172,f2(a98))) 5.20/5.26 [1319]~P5(a100,x13191,x13192)+P6(a100,x13191,f10(a100,x13192,f2(a100))) 5.20/5.26 [1322]~P5(a98,x13221,x13222)+P6(a98,x13221,f10(a98,x13222,f2(a98))) 5.20/5.26 [1323]~P6(a98,x13231,x13232)+P6(a98,x13231,f10(a98,x13232,f2(a98))) 5.20/5.26 [1326]~P6(a100,x13261,x13262)+P5(a100,f10(a100,x13261,f2(a100)),x13262) 5.20/5.26 [1328]~P6(a98,x13281,x13282)+P5(a98,f10(a98,x13281,f2(a98)),x13282) 5.20/5.26 [1394]~P6(a100,x13941,x13942)+E(f10(a100,f10(a100,x13941,f32(x13942,x13941)),f2(a100)),x13942) 5.20/5.26 [1397]~P5(a100,x13972,x13971)+E(f5(a97,f21(a100,x13971),f21(a100,x13972)),f21(a100,f5(a100,x13971,x13972))) 5.20/5.26 [1415]P5(a100,x14151,x14152)+~P6(a100,x14151,f10(a100,x14152,f2(a100))) 5.20/5.26 [1416]P5(a98,x14161,x14162)+~P6(a98,x14161,f10(a98,x14162,f2(a98))) 5.20/5.26 [1417]P6(a98,x14171,x14172)+~P5(a98,x14171,f5(a98,x14172,f2(a98))) 5.20/5.26 [1421]P6(a100,x14211,x14212)+~P5(a100,f10(a100,x14211,f2(a100)),x14212) 5.20/5.26 [1423]P6(a98,x14231,x14232)+~P5(a98,f10(a98,x14231,f2(a98)),x14232) 5.20/5.26 [1429]~P5(a100,x14291,x14292)+P6(a97,f21(a100,x14291),f10(a97,f21(a100,x14292),f2(a97))) 5.20/5.26 [1430]~P6(a100,x14301,x14302)+P5(a97,f10(a97,f21(a100,x14301),f2(a97)),f21(a100,x14302)) 5.20/5.26 [1496]~P6(a100,x14961,x14962)+~P6(a100,x14962,f10(a100,x14961,f2(a100))) 5.20/5.26 [1497]~P5(a100,x14971,x14972)+~P5(a100,f10(a100,x14972,f2(a100)),x14971) 5.20/5.26 [1518]P6(a97,x15181,f21(a100,x15182))+~P5(a100,f10(a100,f20(x15181),f2(a100)),x15182) 5.20/5.26 [1619]P5(a100,x16191,x16192)+~P6(a97,f21(a100,x16191),f10(a97,f21(a100,x16192),f2(a97))) 5.20/5.26 [1620]P6(a100,x16201,x16202)+~P5(a97,f10(a97,f21(a100,x16201),f2(a97)),f21(a100,x16202)) 5.20/5.26 [1650]E(x16501,f7(a100))+E(f10(a100,f10(a100,f5(a100,x16501,f2(a100)),x16502),f2(a100)),f10(a100,x16501,x16502)) 5.20/5.26 [1711]P5(a100,x17111,x17112)+~P5(a100,f10(a100,x17111,f2(a100)),f10(a100,x17112,f2(a100))) 5.20/5.26 [1713]P6(a100,x17131,x17132)+~P6(a100,f10(a100,x17131,f2(a100)),f10(a100,x17132,f2(a100))) 5.20/5.26 [779]~E(f7(a100),x7792)+E(f24(f24(f9(a100),x7791),x7792),f7(a100)) 5.20/5.26 [781]~E(f7(a100),x7812)+E(f24(f24(f13(a100),x7811),x7812),f2(a100)) 5.20/5.26 [782]~E(f7(a100),x7821)+E(f24(f24(f9(a100),x7821),x7822),f7(a100)) 5.20/5.26 [798]~P40(x7981)+E(f24(f24(f9(x7981),x7982),x7982),x7982) 5.20/5.26 [852]~P53(x8521)+E(f24(f24(f9(x8521),f2(x8521)),x8522),x8522) 5.20/5.26 [853]~P26(x8531)+E(f24(f24(f9(x8531),f2(x8531)),x8532),x8532) 5.20/5.26 [854]~P23(x8541)+E(f24(f24(f9(x8541),f2(x8541)),x8542),x8542) 5.20/5.26 [860]~P26(x8601)+E(f24(f24(f13(x8601),f2(x8601)),x8602),f2(x8601)) 5.20/5.26 [861]~P48(x8611)+E(f24(f24(f9(x8611),f7(x8611)),x8612),f7(x8611)) 5.20/5.26 [862]~P42(x8621)+E(f24(f24(f9(x8621),f7(x8621)),x8622),f7(x8621)) 5.20/5.26 [863]~P53(x8631)+E(f24(f24(f9(x8631),f7(x8631)),x8632),f7(x8631)) 5.20/5.26 [867]E(x8671,f2(a100))+~E(f24(f24(f9(a100),x8671),x8672),f2(a100)) 5.20/5.26 [868]E(x8681,f2(a100))+~E(f24(f24(f9(a100),x8682),x8681),f2(a100)) 5.20/5.26 [869]E(f2(a100),x8691)+~E(f24(f24(f9(a100),x8691),x8692),f2(a100)) 5.20/5.26 [879]~P21(x8791)+E(f10(f101(x8791),x8792,f7(f101(x8791))),x8792) 5.20/5.26 [880]~P11(x8801)+E(f5(f101(x8801),x8802,f7(f101(x8801))),x8802) 5.20/5.26 [881]~P21(x8811)+E(f10(f101(x8811),f7(f101(x8811)),x8812),x8812) 5.20/5.26 [949]~P11(x9491)+E(f5(f101(x9491),f7(f101(x9491)),x9492),f8(f101(x9491),x9492)) 5.20/5.26 [965]~E(f7(a100),x9652)+E(f24(f24(f13(a100),x9651),x9652),f10(a100,f7(a100),f2(a100))) 5.20/5.26 [971]~P50(x9711)+E(f24(f24(f9(f101(x9711)),x9712),f7(f101(x9711))),f7(f101(x9711))) 5.20/5.26 [1086]~E(x10862,f7(a100))+P6(a100,f7(a100),f24(f24(f13(a100),x10861),x10862)) 5.20/5.26 [1087]~E(f7(a100),x10872)+P6(a100,f7(a100),f24(f24(f13(a100),x10871),x10872)) 5.20/5.26 [1108]~P57(x11081)+P5(x11081,f7(x11081),f24(f24(f9(x11081),x11082),x11082)) 5.20/5.26 [1168]~P55(x11681)+E(f24(f24(f9(x11681),f3(x11681,x11682)),f3(x11681,x11682)),f24(f24(f9(x11681),x11682),x11682)) 5.20/5.26 [1186]~E(x11861,f10(a100,f7(a100),f2(a100)))+E(f24(f24(f13(a100),x11861),x11862),f10(a100,f7(a100),f2(a100))) 5.20/5.26 [1240]E(x12401,f10(a100,f7(a100),f2(a100)))+~E(f24(f24(f9(a100),x12401),x12402),f10(a100,f7(a100),f2(a100))) 5.20/5.26 [1241]E(f10(a100,f7(a100),f2(a100)),x12411)+~E(f24(f24(f9(a100),x12412),x12411),f10(a100,f7(a100),f2(a100))) 5.20/5.26 [1258]P5(a98,f7(a98),x12582)+E(f8(a98,f4(a98,x12581,f8(a98,x12582))),f23(x12581,x12582)) 5.20/5.26 [1272]~P5(a98,f7(a98),x12721)+P5(a98,f7(a98),f24(f24(f13(a98),x12721),x12722)) 5.20/5.26 [1274]~P6(a100,f7(a100),x12741)+P6(a100,f7(a100),f24(f24(f13(a100),x12741),x12742)) 5.20/5.26 [1300]E(x13001,f7(a98))+P6(a98,f7(a98),f24(f24(f13(a98),f3(a98,x13001)),x13002)) 5.20/5.26 [1309]~E(x13092,f7(a100))+P6(a98,f7(a98),f24(f24(f13(a98),f3(a98,x13091)),x13092)) 5.20/5.26 [1352]~P57(x13521)+~P6(x13521,f24(f24(f9(x13521),x13522),x13522),f7(x13521)) 5.20/5.26 [1382]P6(a100,f7(a100),x13821)+~P6(a100,f7(a100),f24(f24(f9(a100),x13822),x13821)) 5.20/5.26 [1383]P6(a100,f7(a100),x13831)+~P6(a100,f7(a100),f24(f24(f9(a100),x13831),x13832)) 5.20/5.26 [1406]~P5(a97,f7(a97),x14061)+E(f12(f10(a97,x14061,f21(a100,x14062))),f10(a100,f12(x14061),x14062)) 5.20/5.26 [1407]~P5(a97,f7(a97),x14071)+E(f20(f10(a97,x14071,f21(a100,x14072))),f10(a100,f20(x14071),x14072)) 5.20/5.26 [1474]~P5(a97,f21(a100,x14742),x14741)+E(f12(f5(a97,x14741,f21(a100,x14742))),f5(a100,f12(x14741),x14742)) 5.20/5.26 [1475]~P5(a97,f21(a100,x14752),x14751)+E(f20(f5(a97,x14751,f21(a100,x14752))),f5(a100,f20(x14751),x14752)) 5.20/5.26 [1705]~P6(a100,f7(a100),x17051)+P6(a100,f5(a100,x17051,f10(a100,x17052,f2(a100))),x17051) 5.20/5.26 [1768]~P5(a100,f10(a100,f7(a100),f2(a100)),x17681)+P5(a100,f10(a100,f7(a100),f2(a100)),f24(f24(f13(a100),x17681),x17682)) 5.20/5.26 [1828]P5(a100,f10(a100,f7(a100),f2(a100)),x18281)+~P5(a100,f10(a100,f7(a100),f2(a100)),f24(f24(f9(a100),x18282),x18281)) 5.20/5.26 [1829]P5(a100,f10(a100,f7(a100),f2(a100)),x18291)+~P5(a100,f10(a100,f7(a100),f2(a100)),f24(f24(f9(a100),x18291),x18292)) 5.20/5.26 [1830]~P71(x18301)+E(f24(f24(f9(x18301),f10(x18301,x18302,f2(x18301))),f5(x18301,x18302,f2(x18301))),f5(x18301,f24(f24(f9(x18301),x18302),x18302),f2(x18301))) 5.20/5.26 [891]~P53(x8911)+E(f24(f17(x8911,f2(f101(x8911))),x8912),f2(x8911)) 5.20/5.26 [892]~P50(x8921)+E(f24(f17(x8921,f7(f101(x8921))),x8922),f7(x8921)) 5.20/5.26 [893]~P38(x8931)+E(f24(f15(x8931,f7(f101(x8931))),x8932),f7(x8931)) 5.20/5.26 [1012]~P50(x10121)+E(f24(f24(f9(f101(x10121)),f7(f101(x10121))),x10122),f7(f101(x10121))) 5.20/5.26 [1062]~P51(x10621)+E(f24(f24(f9(x10621),f8(x10621,f2(x10621))),x10622),f8(x10621,x10622)) 5.20/5.26 [1134]E(f3(a98,x11341),f2(a98))+~E(f3(a98,f24(f24(f9(a98),x11341),x11342)),f2(a98)) 5.20/5.26 [1150]~E(f21(a100,f20(x11501)),x11501)+E(f20(f24(f24(f13(a97),x11501),x11502)),f24(f24(f13(a100),f20(x11501)),x11502)) 5.20/5.26 [1259]~P6(a100,f7(a100),x12592)+E(f4(a100,f24(f24(f9(a100),x12591),x12592),x12592),x12591) 5.20/5.26 [1260]~P6(a100,f7(a100),x12601)+E(f4(a100,f24(f24(f9(a100),x12601),x12602),x12601),x12602) 5.20/5.26 [1380]~P6(a97,f7(a97),x13802)+E(f24(f24(f9(a97),f21(a100,x13801)),f6(x13802)),f6(f24(f24(f13(a97),x13802),x13801))) 5.20/5.26 [1566]E(x15661,f7(a97))+~E(f10(a97,f24(f24(f9(a97),x15662),x15662),f24(f24(f9(a97),x15661),x15661)),f7(a97)) 5.20/5.26 [1567]E(f7(a97),x15671)+~E(f10(a97,f24(f24(f9(a97),x15671),x15671),f24(f24(f9(a97),x15672),x15672)),f7(a97)) 5.41/5.26 [1569]~P53(x15691)+E(f10(x15691,x15692,x15692),f24(f24(f9(x15691),f10(x15691,f2(x15691),f2(x15691))),x15692)) 5.41/5.26 [1599]E(x15991,f7(a100))+E(f24(f24(f9(a100),x15992),f24(f24(f13(a100),x15992),f5(a100,x15991,f2(a100)))),f24(f24(f13(a100),x15992),x15991)) 5.41/5.26 [1775]~P6(a97,f7(a97),x17752)+P6(a97,x17751,f24(f24(f9(a97),f21(a100,f38(x17752,x17751))),x17752)) 5.41/5.26 [1952]~P5(a97,f7(a97),x19522)+P5(a97,f10(a97,f24(f24(f9(a97),f21(a100,x19521)),x19522),f2(a97)),f24(f24(f13(a97),f10(a97,x19522,f2(a97))),x19521)) 5.41/5.26 [1858]E(x18581,f7(a100))+E(f10(a100,x18582,f24(f24(f9(a100),f5(a100,x18581,f2(a100))),x18582)),f24(f24(f9(a100),x18581),x18582)) 5.41/5.26 [981]~P53(x9811)+E(f10(x9811,x9812,x9813),f10(x9811,x9813,x9812)) 5.41/5.26 [1030]P5(a100,x10301,x10302)+~E(x10302,f10(a100,x10301,x10303)) 5.41/5.26 [1098]E(x10981,x10982)+~E(f10(a100,x10983,x10981),f10(a100,x10983,x10982)) 5.41/5.26 [1099]E(x10991,x10992)+~E(f10(a100,x10991,x10993),f10(a100,x10992,x10993)) 5.41/5.26 [1288]~P5(a100,x12881,x12883)+P5(a100,x12881,f10(a100,x12882,x12883)) 5.41/5.26 [1290]~P5(a100,x12901,x12902)+P5(a100,x12901,f10(a100,x12902,x12903)) 5.41/5.26 [1292]~P6(a100,x12921,x12923)+P6(a100,x12921,f10(a100,x12922,x12923)) 5.41/5.26 [1294]~P6(a100,x12941,x12942)+P6(a100,x12941,f10(a100,x12942,x12943)) 5.41/5.26 [1295]~P6(a100,x12951,x12953)+P6(a100,f5(a100,x12951,x12952),x12953) 5.41/5.26 [1400]P5(a100,x14001,x14002)+~P5(a100,f10(a100,x14003,x14001),x14002) 5.41/5.26 [1401]P5(a100,x14011,x14012)+~P5(a100,f10(a100,x14011,x14013),x14012) 5.41/5.26 [1402]P6(a100,x14021,x14022)+~P6(a100,f10(a100,x14021,x14023),x14022) 5.41/5.26 [1503]~P5(a97,x15032,x15033)+P5(a97,f10(a97,x15031,x15032),f10(a97,x15031,x15033)) 5.41/5.26 [1504]~P5(a100,x15042,x15043)+P5(a100,f10(a100,x15041,x15042),f10(a100,x15041,x15043)) 5.41/5.26 [1505]~P5(a100,x15051,x15053)+P5(a100,f10(a100,x15051,x15052),f10(a100,x15053,x15052)) 5.41/5.26 [1506]~P5(a100,x15063,x15062)+P5(a100,f5(a100,x15061,x15062),f5(a100,x15061,x15063)) 5.41/5.26 [1507]~P5(a100,x15071,x15073)+P5(a100,f5(a100,x15071,x15072),f5(a100,x15073,x15072)) 5.41/5.26 [1508]~P5(a100,x15081,x15083)+P5(a100,f4(a100,x15081,x15082),f4(a100,x15083,x15082)) 5.41/5.26 [1509]~P5(a98,x15092,x15093)+P5(a98,f10(a98,x15091,x15092),f10(a98,x15091,x15093)) 5.41/5.26 [1510]~P6(a100,x15102,x15103)+P6(a100,f10(a100,x15101,x15102),f10(a100,x15101,x15103)) 5.41/5.26 [1511]~P6(a100,x15111,x15113)+P6(a100,f10(a100,x15111,x15112),f10(a100,x15113,x15112)) 5.41/5.26 [1512]~P6(a98,x15121,x15123)+P6(a98,f10(a98,x15121,x15122),f10(a98,x15123,x15122)) 5.41/5.26 [1595]~P5(a100,f5(a100,x15951,x15953),x15952)+P5(a100,x15951,f10(a100,x15952,x15953)) 5.41/5.26 [1596]~P6(a100,f10(a100,x15961,x15963),x15962)+P6(a100,x15961,f5(a100,x15962,x15963)) 5.41/5.26 [1597]~P5(a100,x15971,f10(a100,x15973,x15972))+P5(a100,f5(a100,x15971,x15972),x15973) 5.41/5.26 [1598]~P6(a100,x15981,f5(a100,x15983,x15982))+P6(a100,f10(a100,x15981,x15982),x15983) 5.41/5.26 [1703]P5(a100,x17031,x17032)+~P5(a100,f10(a100,x17033,x17031),f10(a100,x17033,x17032)) 5.41/5.26 [1704]P6(a100,x17041,x17042)+~P6(a100,f10(a100,x17043,x17041),f10(a100,x17043,x17042)) 5.41/5.26 [1043]~P17(x10431)+E(f5(x10431,x10432,f8(x10431,x10433)),f10(x10431,x10432,x10433)) 5.41/5.26 [1044]~P17(x10441)+E(f10(x10441,x10442,f8(x10441,x10443)),f5(x10441,x10442,x10443)) 5.41/5.26 [1045]~P51(x10451)+E(f10(x10451,x10452,f8(x10451,x10453)),f5(x10451,x10452,x10453)) 5.41/5.26 [1046]~P11(x10461)+E(f10(x10461,x10462,f8(x10461,x10463)),f5(x10461,x10462,x10463)) 5.41/5.26 [1103]~P17(x11031)+E(f10(x11031,f5(x11031,x11032,x11033),x11033),x11032) 5.41/5.26 [1104]~P17(x11041)+E(f5(x11041,f10(x11041,x11042,x11043),x11043),x11042) 5.41/5.26 [1146]~P11(x11461)+E(f8(x11461,f5(x11461,x11462,x11463)),f5(x11461,x11463,x11462)) 5.41/5.26 [1182]~P17(x11821)+E(f10(x11821,f8(x11821,x11822),f10(x11821,x11822,x11823)),x11823) 5.41/5.26 [1261]~P11(x12611)+E(f10(x12611,f8(x12611,x12612),f8(x12611,x12613)),f8(x12611,f10(x12611,x12612,x12613))) 5.41/5.26 [1262]~P17(x12621)+E(f10(x12621,f8(x12621,x12622),f8(x12621,x12623)),f8(x12621,f10(x12621,x12623,x12622))) 5.41/5.26 [1263]~P11(x12631)+E(f5(x12631,f8(x12631,x12632),f8(x12631,x12633)),f8(x12631,f5(x12631,x12632,x12633))) 5.41/5.26 [1333]~P45(x13331)+E(f22(x13331,f5(x13331,x13332,x13333)),f22(x13331,f5(x13331,x13333,x13332))) 5.41/5.26 [1334]~P30(x13341)+E(f3(x13341,f5(x13341,x13342,x13343)),f3(x13341,f5(x13341,x13343,x13342))) 5.41/5.26 [1414]P6(a100,x14141,x14142)+~E(f10(a100,f10(a100,x14141,x14143),f2(a100)),x14142) 5.41/5.26 [1588]~P5(a100,x15883,x15882)+E(f5(a100,f10(a100,x15881,x15882),x15883),f10(a100,x15881,f5(a100,x15882,x15883))) 5.41/5.26 [1589]~P5(a100,x15892,x15893)+E(f5(a100,f10(a100,x15891,x15892),x15893),f5(a100,x15891,f5(a100,x15893,x15892))) 5.41/5.26 [1591]~P5(a100,x15913,x15911)+E(f5(a100,f10(a100,x15911,x15912),x15913),f10(a100,f5(a100,x15911,x15913),x15912)) 5.41/5.26 [1665]~P5(a100,x16653,x16652)+P5(a100,x16651,f5(a100,f10(a100,x16652,x16651),x16653)) 5.41/5.26 [1736]~P45(x17361)+P5(a97,f22(x17361,f10(x17361,x17362,x17363)),f10(a97,f22(x17361,x17362),f22(x17361,x17363))) 5.41/5.26 [1737]~P45(x17371)+P5(a97,f22(x17371,f5(x17371,x17372,x17373)),f10(a97,f22(x17371,x17372),f22(x17371,x17373))) 5.41/5.26 [1738]~P45(x17381)+P5(a97,f5(a97,f22(x17381,x17382),f22(x17381,x17383)),f22(x17381,f10(x17381,x17382,x17383))) 5.41/5.26 [1739]~P45(x17391)+P5(a97,f5(a97,f22(x17391,x17392),f22(x17391,x17393)),f22(x17391,f5(x17391,x17392,x17393))) 5.41/5.26 [1750]~P30(x17501)+P5(x17501,f3(x17501,f10(x17501,x17502,x17503)),f10(x17501,f3(x17501,x17502),f3(x17501,x17503))) 5.41/5.26 [1751]~P30(x17511)+P5(x17511,f3(x17511,f5(x17511,x17512,x17513)),f10(x17511,f3(x17511,x17512),f3(x17511,x17513))) 5.41/5.26 [1752]~P30(x17521)+P5(x17521,f5(x17521,f3(x17521,x17522),f3(x17521,x17523)),f3(x17521,f5(x17521,x17523,x17522))) 5.41/5.26 [1753]~P30(x17531)+P5(x17531,f5(x17531,f3(x17531,x17532),f3(x17531,x17533)),f3(x17531,f5(x17531,x17532,x17533))) 5.41/5.26 [932]~E(x9322,f7(a100))+E(f24(f24(f9(a100),x9321),x9322),f24(f24(f9(a100),x9323),x9322)) 5.41/5.26 [934]~E(f7(a100),x9341)+E(f24(f24(f9(a100),x9341),x9342),f24(f24(f9(a100),x9341),x9343)) 5.41/5.26 [966]~P53(x9661)+E(f24(f24(f9(x9661),x9662),x9663),f24(f24(f9(x9661),x9663),x9662)) 5.41/5.26 [1166]~P64(x11661)+E(f24(f24(f9(x11661),f8(x11661,x11662)),f8(x11661,x11663)),f24(f24(f9(x11661),x11662),x11663)) 5.41/5.26 [1167]~P64(x11671)+E(f24(f24(f9(x11671),f8(x11671,x11672)),x11673),f24(f24(f9(x11671),x11672),f8(x11671,x11673))) 5.41/5.26 [1236]~P17(x12361)+E(f10(x12361,x12362,f10(x12361,f8(x12361,x12362),x12363)),x12363) 5.41/5.26 [1313]~P13(x13131)+E(f4(f101(x13131),x13132,f8(f101(x13131),x13133)),f8(f101(x13131),f4(f101(x13131),x13132,x13133))) 5.41/5.26 [1314]~P13(x13141)+E(f4(f101(x13141),f8(f101(x13141),x13142),x13143),f8(f101(x13141),f4(f101(x13141),x13142,x13143))) 5.41/5.26 [1368]~P55(x13681)+P5(x13681,f7(x13681),f24(f24(f13(x13681),f3(x13681,x13682)),x13683)) 5.41/5.26 [1386]P6(a100,f7(a100),x13861)+P5(a100,f24(f24(f9(a100),x13862),x13861),f24(f24(f9(a100),x13863),x13861)) 5.41/5.26 [1387]P6(a100,f7(a100),x13871)+P5(a100,f24(f24(f9(a100),x13871),x13872),f24(f24(f9(a100),x13871),x13873)) 5.41/5.26 [1433]~P5(a100,x14332,x14333)+P5(a100,f24(f24(f9(a100),x14331),x14332),f24(f24(f9(a100),x14331),x14333)) 5.41/5.26 [1435]~P5(a100,x14351,x14353)+P5(a100,f24(f24(f9(a100),x14351),x14352),f24(f24(f9(a100),x14353),x14352)) 5.41/5.26 [1494]~P30(x14941)+E(f3(x14941,f10(x14941,f3(x14941,x14942),f3(x14941,x14943))),f10(x14941,f3(x14941,x14942),f3(x14941,x14943))) 5.41/5.26 [1625]P6(a100,x16251,x16252)+~P6(a100,f24(f24(f9(a100),x16253),x16251),f24(f24(f9(a100),x16253),x16252)) 5.41/5.26 [1626]P6(a100,x16261,x16262)+~P6(a100,f24(f24(f9(a100),x16261),x16263),f24(f24(f9(a100),x16262),x16263)) 5.41/5.26 [1630]P6(a100,f7(a100),x16301)+~P6(a100,f24(f24(f9(a100),x16302),x16301),f24(f24(f9(a100),x16303),x16301)) 5.41/5.26 [1631]P6(a100,f7(a100),x16311)+~P6(a100,f24(f24(f9(a100),x16311),x16312),f24(f24(f9(a100),x16311),x16313)) 5.41/5.26 [1880]~P5(a100,x18802,x18803)+E(f5(a100,f10(a100,x18801,x18802),f10(a100,x18803,f2(a100))),f5(a100,x18801,f10(a100,f5(a100,x18803,x18802),f2(a100)))) 5.41/5.26 [1881]~P5(a100,x18812,x18811)+E(f5(a100,f10(a100,f5(a100,x18811,x18812),f2(a100)),x18813),f5(a100,f10(a100,x18811,f2(a100)),f10(a100,x18812,x18813))) 5.41/5.26 [1886]~P45(x18861)+P5(a97,f3(a97,f5(a97,f22(x18861,x18862),f22(x18861,x18863))),f22(x18861,f5(x18861,x18862,x18863))) 5.41/5.26 [1887]~P30(x18871)+P5(x18871,f3(x18871,f5(x18871,f3(x18871,x18872),f3(x18871,x18873))),f3(x18871,f5(x18871,x18872,x18873))) 5.41/5.26 [1195]~P42(x11951)+E(f24(f24(f9(x11951),x11952),f8(x11951,x11953)),f8(x11951,f24(f24(f9(x11951),x11952),x11953))) 5.41/5.26 [1196]~P64(x11961)+E(f24(f24(f9(x11961),x11962),f8(x11961,x11963)),f8(x11961,f24(f24(f9(x11961),x11962),x11963))) 5.41/5.26 [1212]~P40(x12121)+E(f24(f24(f9(x12121),x12122),f24(f24(f9(x12121),x12122),x12123)),f24(f24(f9(x12121),x12122),x12123)) 5.41/5.26 [1225]~P1(x12251)+E(f24(f17(x12251,f8(f101(x12251),x12252)),x12253),f8(x12251,f24(f17(x12251,x12252),x12253))) 5.41/5.26 [1226]~P11(x12261)+E(f24(f15(x12261,f8(f101(x12261),x12262)),x12263),f8(x12261,f24(f15(x12261,x12262),x12263))) 5.41/5.26 [1237]~P47(x12371)+E(f22(x12371,f24(f24(f13(x12371),x12372),x12373)),f24(f24(f13(a97),f22(x12371,x12372)),x12373)) 5.41/5.26 [1243]~P64(x12431)+E(f24(f24(f9(x12431),f8(x12431,x12432)),x12433),f8(x12431,f24(f24(f9(x12431),x12432),x12433))) 5.41/5.26 [1244]~P55(x12441)+E(f24(f24(f13(x12441),f3(x12441,x12442)),x12443),f3(x12441,f24(f24(f13(x12441),x12442),x12443))) 5.41/5.26 [1245]~P42(x12451)+E(f24(f24(f9(x12451),f8(x12451,x12452)),x12453),f8(x12451,f24(f24(f9(x12451),x12452),x12453))) 5.41/5.26 [1299]~E(f7(a100),x12991)+E(f4(a100,f24(f24(f9(a100),x12991),x12992),f24(f24(f9(a100),x12991),x12993)),f7(a100)) 5.41/5.26 [1329]~P47(x13291)+E(f24(f24(f9(a97),f22(x13291,x13292)),f22(x13291,x13293)),f22(x13291,f24(f24(f9(x13291),x13292),x13293))) 5.41/5.26 [1337]~P55(x13371)+E(f24(f24(f9(x13371),f11(x13371,x13372)),f11(x13371,x13373)),f11(x13371,f24(f24(f9(x13371),x13372),x13373))) 5.41/5.26 [1338]~P47(x13381)+E(f24(f24(f9(x13381),f11(x13381,x13382)),f11(x13381,x13383)),f11(x13381,f24(f24(f9(x13381),x13382),x13383))) 5.41/5.26 [1339]~P55(x13391)+E(f24(f24(f9(x13391),f3(x13391,x13392)),f3(x13391,x13393)),f3(x13391,f24(f24(f9(x13391),x13392),x13393))) 5.41/5.26 [1385]E(f7(a100),x13851)+E(f4(a100,f24(f24(f9(a100),x13851),x13852),f24(f24(f9(a100),x13851),x13853)),f4(a100,x13852,x13853)) 5.41/5.26 [1444]~P44(x14441)+E(f24(f24(f9(x14441),x14442),f24(f24(f13(x14441),x14442),x14443)),f24(f24(f13(x14441),x14442),f10(a100,x14443,f2(a100)))) 5.41/5.26 [1446]~P53(x14461)+E(f24(f24(f9(x14461),x14462),f24(f24(f13(x14461),x14462),x14463)),f24(f24(f13(x14461),x14462),f10(a100,x14463,f2(a100)))) 5.41/5.26 [1502]~P55(x15021)+E(f3(x15021,f24(f24(f13(x15021),f8(x15021,x15022)),x15023)),f3(x15021,f24(f24(f13(x15021),x15022),x15023))) 5.41/5.26 [1568]~P6(a100,f7(a100),x15681)+E(f4(a100,f24(f24(f9(a100),x15681),x15682),f24(f24(f9(a100),x15681),x15683)),f4(a100,x15682,x15683)) 5.41/5.26 [1579]~P6(a98,f7(a98),x15793)+E(f4(a98,x15791,f24(f24(f9(a98),x15792),x15793)),f4(a98,f4(a98,x15791,x15792),x15793)) 5.41/5.26 [1691]~P53(x16911)+E(f10(x16911,x16912,f24(f24(f9(x16911),x16913),x16912)),f24(f24(f9(x16911),f10(x16911,x16913,f2(x16911))),x16912)) 5.41/5.26 [1692]~P53(x16921)+E(f10(x16921,f24(f24(f9(x16921),x16922),x16923),x16923),f24(f24(f9(x16921),f10(x16921,x16922,f2(x16921))),x16923)) 5.41/5.26 [1722]~P46(x17221)+P5(a97,f22(x17221,f24(f24(f13(x17221),x17222),x17223)),f24(f24(f13(a97),f22(x17221,x17222)),x17223)) 5.41/5.26 [1783]~P42(x17831)+P5(a97,f22(x17831,f24(f24(f9(x17831),x17832),x17833)),f24(f24(f9(a97),f22(x17831,x17833)),f43(x17832,x17831))) 5.41/5.26 [1784]~P42(x17841)+P5(a97,f22(x17841,f24(f24(f9(x17841),x17842),x17843)),f24(f24(f9(a97),f22(x17841,x17843)),f68(x17842,x17841))) 5.41/5.26 [1785]~P42(x17851)+P5(a97,f22(x17851,f24(f24(f9(x17851),x17852),x17853)),f24(f24(f9(a97),f22(x17851,x17853)),f67(x17852,x17851))) 5.41/5.26 [1786]~P42(x17861)+P5(a97,f22(x17861,f24(f24(f9(x17861),x17862),x17863)),f24(f24(f9(a97),f22(x17861,x17862)),f22(x17861,x17863))) 5.41/5.26 [1787]~P42(x17871)+P5(a97,f22(x17871,f24(f24(f9(x17871),x17872),x17873)),f24(f24(f9(a97),f22(x17871,x17872)),f26(x17873,x17871))) 5.41/5.26 [1788]~P42(x17881)+P5(a97,f22(x17881,f24(f24(f9(x17881),x17882),x17883)),f24(f24(f9(a97),f22(x17881,x17882)),f51(x17883,x17881))) 5.41/5.26 [1789]~P42(x17891)+P5(a97,f22(x17891,f24(f24(f9(x17891),x17892),x17893)),f24(f24(f9(a97),f22(x17891,x17892)),f77(x17893,x17891))) 5.41/5.26 [1834]~P57(x18341)+P5(x18341,f7(x18341),f10(x18341,f24(f24(f9(x18341),x18342),x18342),f24(f24(f9(x18341),x18343),x18343))) 5.41/5.26 [1894]~P71(x18941)+E(f24(f24(f9(x18941),f24(f24(f13(x18941),f8(x18941,f2(x18941))),x18942)),f24(f24(f13(x18941),x18943),x18942)),f24(f24(f13(x18941),f8(x18941,x18943)),x18942)) 5.41/5.26 [1911]E(x19111,x19112)+~E(f24(f24(f9(a100),f10(a100,x19113,f2(a100))),x19111),f24(f24(f9(a100),f10(a100,x19113,f2(a100))),x19112)) 5.41/5.26 [1923]~P57(x19231)+~P6(x19231,f10(x19231,f24(f24(f9(x19231),x19232),x19232),f24(f24(f9(x19231),x19233),x19233)),f7(x19231)) 5.41/5.26 [1957]~P6(a100,x19572,x19573)+P6(a100,f24(f24(f9(a100),f10(a100,x19571,f2(a100))),x19572),f24(f24(f9(a100),f10(a100,x19571,f2(a100))),x19573)) 5.41/5.26 [1971]~P42(x19711)+P5(a97,f22(x19711,f24(f24(f9(x19711),x19712),x19713)),f24(f24(f9(a97),f24(f24(f9(a97),f22(x19711,x19712)),f22(x19711,x19713))),f49(x19711))) 5.41/5.26 [1972]~P42(x19721)+P5(a97,f22(x19721,f24(f24(f9(x19721),x19722),x19723)),f24(f24(f9(a97),f24(f24(f9(a97),f22(x19721,x19722)),f22(x19721,x19723))),f56(x19721))) 5.41/5.26 [1973]~P42(x19731)+P5(a97,f22(x19731,f24(f24(f9(x19731),x19732),x19733)),f24(f24(f9(a97),f24(f24(f9(a97),f22(x19731,x19732)),f22(x19731,x19733))),f50(x19731))) 5.41/5.26 [1982]P5(a100,x19821,x19822)+~P5(a100,f24(f24(f9(a100),f10(a100,x19823,f2(a100))),x19821),f24(f24(f9(a100),f10(a100,x19823,f2(a100))),x19822)) 5.41/5.26 [1988]~P51(x19881)+E(f24(f24(f9(x19881),f5(x19881,x19882,x19883)),f10(x19881,x19882,x19883)),f5(x19881,f24(f24(f13(x19881),x19882),f10(a100,f10(a100,f7(a100),f2(a100)),f2(a100))),f24(f24(f13(x19881),x19883),f10(a100,f10(a100,f7(a100),f2(a100)),f2(a100))))) 5.41/5.26 [1624]~P26(x16241)+E(f24(f24(f9(x16241),f24(f24(f13(x16241),x16242),x16243)),x16242),f24(f24(f9(x16241),x16242),f24(f24(f13(x16241),x16242),x16243))) 5.41/5.26 [1638]~P53(x16381)+E(f24(f24(f9(x16381),f24(f24(f13(x16381),x16382),x16383)),x16382),f24(f24(f13(x16381),x16382),f10(a100,x16383,f2(a100)))) 5.41/5.26 [1639]~P26(x16391)+E(f24(f24(f9(x16391),f24(f24(f13(x16391),x16392),x16393)),x16392),f24(f24(f13(x16391),x16392),f10(a100,x16393,f2(a100)))) 5.41/5.26 [2010]~P6(a98,f7(a98),x20103)+P6(a98,x20101,f10(a98,x20102,f24(f24(f9(a98),f10(a98,f3(a98,f5(a98,x20102,x20101)),f2(a98))),x20103))) 5.41/5.26 [2011]~P6(a98,f7(a98),x20113)+P6(a98,f5(a98,x20111,f24(f24(f9(a98),f10(a98,f3(a98,f5(a98,x20111,x20112)),f2(a98))),x20113)),x20112) 5.41/5.26 [1461]~P53(x14611)+E(f10(x14611,x14612,f10(x14611,x14613,x14614)),f10(x14611,x14613,f10(x14611,x14612,x14614))) 5.41/5.26 [1463]~P53(x14631)+E(f10(x14631,f10(x14631,x14632,x14633),x14634),f10(x14631,x14632,f10(x14631,x14633,x14634))) 5.41/5.26 [1464]~P3(x14641)+E(f10(x14641,f10(x14641,x14642,x14643),x14644),f10(x14641,x14642,f10(x14641,x14643,x14644))) 5.41/5.26 [1465]~P53(x14651)+E(f10(x14651,f10(x14651,x14652,x14653),x14654),f10(x14651,f10(x14651,x14652,x14654),x14653)) 5.41/5.26 [1031]~P35(x10312)+E(f24(f8(f103(x10311,x10312),x10313),x10314),f8(x10312,f24(x10313,x10314))) 5.41/5.26 [1431]~P53(x14311)+E(f24(f24(f9(x14311),x14312),f24(f24(f9(x14311),x14313),x14314)),f24(f24(f9(x14311),x14313),f24(f24(f9(x14311),x14312),x14314))) 5.41/5.26 [1634]~P42(x16341)+E(f10(x16341,f24(f24(f9(x16341),x16342),x16343),f24(f24(f9(x16341),x16342),x16344)),f24(f24(f9(x16341),x16342),f10(x16341,x16343,x16344))) 5.41/5.26 [1635]~P53(x16351)+E(f10(x16351,f24(f24(f9(x16351),x16352),x16353),f24(f24(f9(x16351),x16352),x16354)),f24(f24(f9(x16351),x16352),f10(x16351,x16353,x16354))) 5.41/5.26 [1636]~P42(x16361)+E(f5(x16361,f24(f24(f9(x16361),x16362),x16363),f24(f24(f9(x16361),x16362),x16364)),f24(f24(f9(x16361),x16362),f5(x16361,x16363,x16364))) 5.41/5.26 [1730]~P1(x17301)+E(f5(x17301,f24(f17(x17301,x17302),x17303),f24(f17(x17301,x17304),x17303)),f24(f17(x17301,f5(f101(x17301),x17302,x17304)),x17303)) 5.41/5.26 [1731]~P21(x17311)+E(f10(x17311,f24(f15(x17311,x17312),x17313),f24(f15(x17311,x17314),x17313)),f24(f15(x17311,f10(f101(x17311),x17312,x17314)),x17313)) 5.41/5.26 [1732]~P11(x17321)+E(f5(x17321,f24(f15(x17321,x17322),x17323),f24(f15(x17321,x17324),x17323)),f24(f15(x17321,f5(f101(x17321),x17322,x17324)),x17323)) 5.41/5.26 [1733]~P50(x17331)+E(f10(x17331,f24(f17(x17331,x17332),x17333),f24(f17(x17331,x17334),x17333)),f24(f17(x17331,f10(f101(x17331),x17332,x17334)),x17333)) 5.41/5.26 [1762]~P26(x17621)+E(f24(f24(f9(x17621),f24(f24(f13(x17621),x17622),x17623)),f24(f24(f13(x17621),x17622),x17624)),f24(f24(f13(x17621),x17622),f10(a100,x17623,x17624))) 5.41/5.26 [1763]~P53(x17631)+E(f24(f24(f9(x17631),f24(f24(f13(x17631),x17632),x17633)),f24(f24(f13(x17631),x17632),x17634)),f24(f24(f13(x17631),x17632),f10(a100,x17633,x17634))) 5.41/5.26 [1778]~P52(x17781)+E(f10(x17781,f24(f24(f9(x17781),x17782),x17783),f24(f24(f9(x17781),x17784),x17783)),f24(f24(f9(x17781),f10(x17781,x17782,x17784)),x17783)) 5.41/5.26 [1780]~P42(x17801)+E(f5(x17801,f24(f24(f9(x17801),x17802),x17803),f24(f24(f9(x17801),x17804),x17803)),f24(f24(f9(x17801),f5(x17801,x17802,x17804)),x17803)) 5.41/5.26 [1781]~P42(x17811)+E(f10(x17811,f24(f24(f9(x17811),x17812),x17813),f24(f24(f9(x17811),x17814),x17813)),f24(f24(f9(x17811),f10(x17811,x17812,x17814)),x17813)) 5.41/5.26 [1782]~P53(x17821)+E(f10(x17821,f24(f24(f9(x17821),x17822),x17823),f24(f24(f9(x17821),x17824),x17823)),f24(f24(f9(x17821),f10(x17821,x17822,x17824)),x17823)) 5.41/5.26 [1592]~P13(x15921)+E(f4(f101(x15921),x15922,f24(f24(f9(f101(x15921)),x15923),x15924)),f4(f101(x15921),f4(f101(x15921),x15922,x15923),x15924)) 5.41/5.26 [1611]~P53(x16111)+E(f24(f24(f13(x16111),f24(f24(f13(x16111),x16112),x16113)),x16114),f24(f24(f13(x16111),x16112),f24(f24(f9(a100),x16113),x16114))) 5.41/5.26 [1612]~P26(x16121)+E(f24(f24(f13(x16121),f24(f24(f13(x16121),x16122),x16123)),x16124),f24(f24(f13(x16121),x16122),f24(f24(f9(a100),x16123),x16124))) 5.41/5.26 [1621]~P2(x16211)+E(f24(f24(f9(x16211),f24(f24(f9(x16211),x16212),x16213)),x16214),f24(f24(f9(x16211),x16212),f24(f24(f9(x16211),x16213),x16214))) 5.41/5.26 [1623]~P53(x16231)+E(f24(f24(f9(x16231),f24(f24(f9(x16231),x16232),x16233)),x16234),f24(f24(f9(x16231),x16232),f24(f24(f9(x16231),x16233),x16234))) 5.41/5.26 [1761]~P53(x17611)+E(f24(f24(f9(x17611),f24(f24(f9(x17611),x17612),x17613)),x17614),f24(f24(f9(x17611),f24(f24(f9(x17611),x17612),x17614)),x17613)) 5.41/5.26 [1843]~P23(x18431)+E(f24(f24(f9(x18431),f24(f24(f13(x18431),x18432),x18433)),f24(f24(f13(x18431),x18434),x18433)),f24(f24(f13(x18431),f24(f24(f9(x18431),x18432),x18434)),x18433)) 5.41/5.26 [1844]~P53(x18441)+E(f24(f24(f9(x18441),f24(f24(f13(x18441),x18442),x18443)),f24(f24(f13(x18441),x18444),x18443)),f24(f24(f13(x18441),f24(f24(f9(x18441),x18442),x18444)),x18443)) 5.41/5.26 [1874]~P50(x18741)+E(f10(f101(x18741),f24(f24(f9(f101(x18741)),x18742),x18743),f24(f24(f9(f101(x18741)),x18744),x18743)),f24(f24(f9(f101(x18741)),f10(f101(x18741),x18742,x18744)),x18743)) 5.41/5.26 [1803]~P53(x18031)+E(f24(f17(x18031,f24(f24(f13(f101(x18031)),x18032),x18033)),x18034),f24(f24(f13(x18031),f24(f17(x18031,x18032),x18034)),x18033)) 5.41/5.26 [1859]~P50(x18591)+E(f24(f24(f9(x18591),f24(f17(x18591,x18592),x18593)),f24(f17(x18591,x18594),x18593)),f24(f17(x18591,f24(f24(f9(f101(x18591)),x18592),x18594)),x18593)) 5.41/5.26 [1799]~P53(x17991)+E(f10(x17991,f10(x17991,x17992,x17993),f10(x17991,x17994,x17995)),f10(x17991,f10(x17991,x17992,x17994),f10(x17991,x17993,x17995))) 5.41/5.26 [1800]~P11(x18001)+E(f5(x18001,f10(x18001,x18002,x18003),f10(x18001,x18004,x18005)),f10(x18001,f5(x18001,x18002,x18004),f5(x18001,x18003,x18005))) 5.41/5.26 [1381]~P25(x13811)+E(f5(x13811,f24(x13812,x13813),f24(x13814,x13813)),f24(f5(f103(x13815,x13811),x13812,x13814),x13813)) 5.41/5.26 [1989]~P45(x19891)+P5(a97,f22(x19891,f5(x19891,f10(x19891,x19892,x19893),f10(x19891,x19894,x19895))),f10(a97,f22(x19891,f5(x19891,x19892,x19894)),f22(x19891,f5(x19891,x19893,x19895)))) 5.41/5.26 [1990]~P30(x19901)+P5(x19901,f3(x19901,f5(x19901,f10(x19901,x19902,x19903),f10(x19901,x19904,x19905))),f10(x19901,f3(x19901,f5(x19901,x19902,x19904)),f3(x19901,f5(x19901,x19903,x19905)))) 5.41/5.26 [1883]~P53(x18831)+E(f24(f24(f9(x18831),f24(f24(f9(x18831),x18832),x18833)),f24(f24(f9(x18831),x18834),x18835)),f24(f24(f9(x18831),f24(f24(f9(x18831),x18832),x18834)),f24(f24(f9(x18831),x18833),x18835))) 5.41/5.26 [1953]~P64(x19531)+E(f10(x19531,f24(f24(f9(x19531),x19532),f5(x19531,x19533,x19534)),f24(f24(f9(x19531),f5(x19531,x19532,x19535)),x19534)),f5(x19531,f24(f24(f9(x19531),x19532),x19533),f24(f24(f9(x19531),x19535),x19534))) 5.41/5.26 [2007]~P42(x20071)+E(f10(x20071,f10(x20071,f24(f24(f9(x20071),f5(x20071,x20072,x20073)),f5(x20071,x20074,x20075)),f24(f24(f9(x20071),f5(x20071,x20072,x20073)),x20075)),f24(f24(f9(x20071),x20073),f5(x20071,x20074,x20075))),f5(x20071,f24(f24(f9(x20071),x20072),x20074),f24(f24(f9(x20071),x20073),x20075))) 5.41/5.26 [1939]~P74(x19391)+E(f10(x19391,f24(f24(f9(x19391),x19392),x19393),f10(x19391,f24(f24(f9(x19391),x19394),x19393),x19395)),f10(x19391,f24(f24(f9(x19391),f10(x19391,x19392,x19394)),x19393),x19395)) 5.41/5.26 [1986]~P5(a100,x19861,x19864)+E(f5(a100,f10(a100,f24(f24(f9(a100),x19861),x19862),x19863),f10(a100,f24(f24(f9(a100),x19864),x19862),x19865)),f5(a100,x19863,f10(a100,f24(f24(f9(a100),f5(a100,x19864,x19861)),x19862),x19865))) 5.41/5.26 [1987]~P5(a100,x19874,x19871)+E(f5(a100,f10(a100,f24(f24(f9(a100),x19871),x19872),x19873),f10(a100,f24(f24(f9(a100),x19874),x19872),x19875)),f5(a100,f10(a100,f24(f24(f9(a100),f5(a100,x19871,x19874)),x19872),x19873),x19875)) 5.41/5.26 [941]~E(f2(a97),x9411)+E(f6(x9411),f7(a97))+~P6(a97,f7(a97),x9411) 5.41/5.26 [945]~E(f6(x9451),f7(a97))+E(f2(a97),x9451)+~P6(a97,f7(a97),x9451) 5.41/5.26 [956]E(x9561,f7(a98))+~P6(a98,f7(a98),x9561)+E(f11(a98,x9561),f2(a98)) 5.41/5.26 [1280]~P6(a97,x12801,f2(a97))+~P6(a97,f7(a97),x12801)+P6(a97,f6(x12801),f7(a97)) 5.41/5.26 [1304]~P6(a97,f7(a97),x13041)+~P6(a97,f6(x13041),f7(a97))+P6(a97,x13041,f2(a97)) 5.41/5.26 [1306]~P6(a97,f7(a97),x13061)+~P5(a97,f7(a97),f6(x13061))+P5(a97,f2(a97),x13061) 5.41/5.26 [1308]~P6(a97,f7(a97),x13081)+~P6(a97,f7(a97),f6(x13081))+P6(a97,f2(a97),x13081) 5.41/5.26 [894]E(x8941,f7(a98))+P6(a98,f7(a98),x8941)+E(f8(a98,f2(a98)),f11(a98,x8941)) 5.41/5.26 [896]E(f7(a97),x8961)+P6(a97,f7(a97),x8961)+E(f11(a97,x8961),f8(a97,f2(a97))) 5.41/5.26 [1875]E(f7(a100),x18751)+E(f10(a100,f7(a100),f2(a100)),x18751)+~P6(a100,x18751,f10(a100,f10(a100,f7(a100),f2(a100)),f2(a100))) 5.41/5.26 [963]E(x9631,x9632)+P6(a100,x9632,x9631)+P6(a100,x9631,x9632) 5.41/5.26 [964]E(x9641,x9642)+P6(a98,x9642,x9641)+P6(a98,x9641,x9642) 5.41/5.26 [1036]E(x10361,x10362)+P6(a97,x10361,x10362)+~P5(a97,x10361,x10362) 5.41/5.26 [1039]E(x10391,x10392)+P6(a100,x10391,x10392)+~P5(a100,x10391,x10392) 5.41/5.26 [1040]E(x10401,x10402)+P6(a98,x10401,x10402)+~P5(a98,x10401,x10402) 5.41/5.26 [1105]E(x11051,x11052)+~P5(a97,x11052,x11051)+~P5(a97,x11051,x11052) 5.41/5.26 [1106]E(x11061,x11062)+~P5(a100,x11062,x11061)+~P5(a100,x11061,x11062) 5.41/5.26 [1107]E(x11071,x11072)+~P5(a98,x11072,x11071)+~P5(a98,x11071,x11072) 5.41/5.26 [741]~P24(x7411)+~E(x7412,f7(x7411))+E(f8(x7411,x7412),x7412) 5.41/5.26 [748]~P45(x7481)+~E(f7(x7481),x7482)+E(f22(x7481,x7482),f7(a97)) 5.41/5.26 [749]~P30(x7491)+~E(x7492,f7(x7491))+E(f3(x7491,x7492),f7(x7491)) 5.41/5.26 [750]~P45(x7501)+~E(f7(x7501),x7502)+E(f11(x7501,x7502),f7(x7501)) 5.41/5.26 [751]~P55(x7511)+~E(f7(x7511),x7512)+E(f11(x7511,x7512),f7(x7511)) 5.41/5.26 [753]~P17(x7531)+~E(x7532,f7(x7531))+E(f8(x7531,x7532),f7(x7531)) 5.41/5.26 [754]~P36(x7541)+~E(x7542,f7(x7541))+E(f11(x7541,x7542),f7(x7541)) 5.41/5.26 [756]~P24(x7562)+~E(f8(x7562,x7561),x7561)+E(x7561,f7(x7562)) 5.41/5.26 [763]~P45(x7631)+E(f7(x7631),x7632)+~E(f22(x7631,x7632),f7(a97)) 5.41/5.26 [764]~P30(x7642)+~E(f3(x7642,x7641),f7(x7642))+E(x7641,f7(x7642)) 5.41/5.26 [766]~P17(x7662)+~E(f8(x7662,x7661),f7(x7662))+E(x7661,f7(x7662)) 5.41/5.26 [767]~P45(x7671)+~E(f11(x7671,x7672),f7(x7671))+E(f7(x7671),x7672) 5.41/5.26 [768]~P55(x7681)+~E(f11(x7681,x7682),f7(x7681))+E(f7(x7681),x7682) 5.41/5.26 [821]~E(x8212,f7(a100))+~E(f7(a100),x8211)+E(f10(a100,x8211,x8212),f7(a100)) 5.41/5.26 [844]~P4(x8441)+E(f4(x8441,x8442,x8442),f2(x8441))+E(f7(x8441),x8442) 5.41/5.26 [857]~P24(x8571)+~E(x8572,f7(x8571))+E(f10(x8571,x8572,x8572),f7(x8571)) 5.41/5.26 [858]~P24(x8581)+~E(f7(x8581),x8582)+E(f10(x8581,x8582,x8582),f7(x8581)) 5.41/5.26 [873]~P20(x8731)+P6(x8731,x8732,f7(x8731))+E(f3(x8731,x8732),x8732) 5.41/5.26 [918]~P45(x9181)+E(f7(x9181),x9182)+P6(a97,f7(a97),f22(x9181,x9182)) 5.41/5.26 [921]~P55(x9211)+P6(x9211,f7(x9211),x9212)+~E(f11(x9211,x9212),f2(x9211)) 5.41/5.26 [931]~P45(x9311)+~E(f7(x9311),x9312)+P5(a97,f22(x9311,x9312),f7(a97)) 5.41/5.26 [937]~P30(x9372)+P6(x9372,f7(x9372),f3(x9372,x9371))+E(x9371,f7(x9372)) 5.41/5.26 [944]~P30(x9441)+P5(x9441,f3(x9441,x9442),f7(x9441))+~E(x9442,f7(x9441)) 5.41/5.26 [947]~P24(x9472)+~E(f10(x9472,x9471,x9471),f7(x9472))+E(x9471,f7(x9472)) 5.41/5.26 [948]~P24(x9481)+~E(f10(x9481,x9482,x9482),f7(x9481))+E(f7(x9481),x9482) 5.41/5.26 [967]~P45(x9672)+~P8(x9672,x9671)+P6(a97,f7(a97),f52(x9671,x9672)) 5.41/5.26 [968]~P45(x9682)+~P8(x9682,x9681)+P6(a97,f7(a97),f27(x9681,x9682)) 5.41/5.26 [969]~P45(x9692)+~P8(x9692,x9691)+P6(a97,f7(a97),f53(x9691,x9692)) 5.41/5.26 [970]~P45(x9702)+~P8(x9702,x9701)+P6(a97,f7(a97),f69(x9701,x9702)) 5.41/5.26 [989]~P30(x9891)+~P5(x9891,f7(x9891),x9892)+E(f3(x9891,x9892),x9892) 5.41/5.26 [990]~P30(x9901)+~P6(x9901,f7(x9901),x9902)+E(f3(x9901,x9902),x9902) 5.41/5.26 [1000]~P55(x10001)+~P6(x10001,f7(x10001),x10002)+E(f11(x10001,x10002),f2(x10001)) 5.41/5.26 [1007]~P15(x10071)+P9(x10071,x10072)+P5(a100,f34(x10072,x10071),f35(x10072,x10071)) 5.41/5.26 [1008]~P15(x10081)+P10(x10081,x10082)+P5(a100,f61(x10082,x10081),f62(x10082,x10081)) 5.41/5.26 [1013]~P30(x10131)+~P5(x10131,x10132,f7(x10131))+E(f8(x10131,x10132),f3(x10131,x10132)) 5.41/5.26 [1014]~P30(x10141)+~P6(x10141,x10142,f7(x10141))+E(f8(x10141,x10142),f3(x10141,x10142)) 5.41/5.26 [1015]~P20(x10151)+~P6(x10151,x10152,f7(x10151))+E(f8(x10151,x10152),f3(x10151,x10152)) 5.41/5.26 [1042]~P45(x10421)+E(f7(x10421),x10422)+~P5(a97,f22(x10421,x10422),f7(a97)) 5.41/5.26 [1048]~P45(x10481)+~E(f7(x10481),x10482)+~P6(a97,f7(a97),f22(x10481,x10482)) 5.41/5.26 [1058]~P30(x10582)+~P5(x10582,f3(x10582,x10581),f7(x10582))+E(x10581,f7(x10582)) 5.41/5.26 [1085]~P30(x10852)+~P6(x10852,f7(x10852),f3(x10852,x10851))+~E(x10851,f7(x10852)) 5.41/5.26 [1118]E(x11181,x11182)+~E(f5(a100,x11182,x11181),f7(a100))+~E(f5(a100,x11181,x11182),f7(a100)) 5.41/5.26 [1153]~P24(x11531)+~P5(x11531,x11532,f7(x11531))+P5(x11531,x11532,f8(x11531,x11532)) 5.41/5.26 [1154]~P55(x11541)+~P6(x11541,x11542,f7(x11541))+P6(x11541,x11542,f8(x11541,x11542)) 5.41/5.26 [1155]~P24(x11551)+~P5(x11551,f7(x11551),x11552)+P5(x11551,f8(x11551,x11552),x11552) 5.41/5.27 [1156]~P24(x11561)+~P6(x11561,f7(x11561),x11562)+P6(x11561,f8(x11561,x11562),x11562) 5.41/5.27 [1169]~P16(x11691)+~P5(x11691,x11692,f7(x11691))+P5(x11691,f7(x11691),f8(x11691,x11692)) 5.41/5.27 [1170]~P16(x11701)+~P6(x11701,x11702,f7(x11701))+P6(x11701,f7(x11701),f8(x11701,x11702)) 5.41/5.27 [1171]~P55(x11711)+~P6(x11711,f7(x11711),x11712)+P6(x11711,f7(x11711),f11(x11711,x11712)) 5.41/5.27 [1172]~P55(x11721)+~P6(x11721,x11722,f7(x11721))+P6(x11721,f11(x11721,x11722),f7(x11721)) 5.41/5.27 [1173]~P16(x11731)+~P5(x11731,f7(x11731),x11732)+P5(x11731,f8(x11731,x11732),f7(x11731)) 5.41/5.27 [1174]~P16(x11741)+~P6(x11741,f7(x11741),x11742)+P6(x11741,f8(x11741,x11742),f7(x11741)) 5.41/5.27 [1178]~P24(x11781)+~P5(x11781,x11782,f8(x11781,x11782))+P5(x11781,x11782,f7(x11781)) 5.41/5.27 [1179]~P55(x11791)+~P6(x11791,x11792,f8(x11791,x11792))+P6(x11791,x11792,f7(x11791)) 5.41/5.27 [1180]~P24(x11801)+~P5(x11801,f8(x11801,x11802),x11802)+P5(x11801,f7(x11801),x11802) 5.41/5.27 [1181]~P24(x11811)+~P6(x11811,f8(x11811,x11812),x11812)+P6(x11811,f7(x11811),x11812) 5.41/5.27 [1199]~P16(x11991)+~P5(x11991,f7(x11991),f8(x11991,x11992))+P5(x11991,x11992,f7(x11991)) 5.41/5.27 [1200]~P16(x12001)+~P6(x12001,f7(x12001),f8(x12001,x12002))+P6(x12001,x12002,f7(x12001)) 5.41/5.27 [1201]~P55(x12011)+~P6(x12011,f11(x12011,x12012),f7(x12011))+P6(x12011,x12012,f7(x12011)) 5.41/5.27 [1202]~P55(x12021)+~P6(x12021,f7(x12021),f11(x12021,x12022))+P6(x12021,f7(x12021),x12022) 5.41/5.27 [1203]~P16(x12031)+~P5(x12031,f8(x12031,x12032),f7(x12031))+P5(x12031,f7(x12031),x12032) 5.41/5.27 [1204]~P16(x12041)+~P6(x12041,f8(x12041,x12042),f7(x12041))+P6(x12041,f7(x12041),x12042) 5.41/5.27 [1249]~P6(a98,x12492,x12491)+~P5(a98,x12491,f7(a98))+E(f4(a98,x12491,x12492),f7(a98)) 5.41/5.27 [1250]~P6(a98,x12501,x12502)+~P5(a98,f7(a98),x12501)+E(f4(a98,x12501,x12502),f7(a98)) 5.41/5.27 [1344]~P5(a100,f12(x13441),x13442)+P5(a97,x13441,f21(a100,x13442))+~P5(a97,f7(a97),x13441) 5.41/5.27 [1345]~P5(a100,x13451,f20(x13452))+P5(a97,f21(a100,x13451),x13452)+~P5(a97,f7(a97),x13452) 5.41/5.27 [1346]~P5(a98,f7(a98),x13462)+~P5(a98,f7(a98),x13461)+P5(a98,f7(a98),f16(x13461,x13462)) 5.41/5.27 [1347]~P6(a97,f7(a97),x13471)+~P6(a100,f7(a100),x13472)+P6(a97,f7(a97),f95(x13471,x13472)) 5.41/5.27 [1348]~P6(a97,f7(a97),x13481)+~P6(a100,f7(a100),x13482)+P6(a97,f7(a97),f37(x13481,x13482)) 5.41/5.27 [1360]P6(a100,f20(x13601),x13602)+~P6(a97,x13601,f21(a100,x13602))+~P5(a97,f7(a97),x13601) 5.41/5.27 [1363]~P24(x13631)+~P5(x13631,f7(x13631),x13632)+P5(x13631,f7(x13631),f10(x13631,x13632,x13632)) 5.41/5.27 [1364]~P24(x13641)+~P6(x13641,f7(x13641),x13642)+P6(x13641,f7(x13641),f10(x13641,x13642,x13642)) 5.41/5.27 [1365]~P24(x13651)+~P5(x13651,x13652,f7(x13651))+P5(x13651,f10(x13651,x13652,x13652),f7(x13651)) 5.41/5.27 [1366]~P55(x13661)+~P6(x13661,x13662,f7(x13661))+P6(x13661,f10(x13661,x13662,x13662),f7(x13661)) 5.41/5.27 [1367]~P24(x13671)+~P6(x13671,x13672,f7(x13671))+P6(x13671,f10(x13671,x13672,x13672),f7(x13671)) 5.41/5.27 [1379]~P5(a97,x13791,x13792)+~P5(a97,f8(a97,x13792),x13791)+P5(a97,f3(a97,x13791),x13792) 5.41/5.27 [1469]~P24(x14691)+~P5(x14691,f10(x14691,x14692,x14692),f7(x14691))+P5(x14691,x14692,f7(x14691)) 5.41/5.27 [1470]~P55(x14701)+~P6(x14701,f10(x14701,x14702,x14702),f7(x14701))+P6(x14701,x14702,f7(x14701)) 5.41/5.27 [1471]~P24(x14711)+~P6(x14711,f10(x14711,x14712,x14712),f7(x14711))+P6(x14711,x14712,f7(x14711)) 5.41/5.27 [1472]~P24(x14721)+~P5(x14721,f7(x14721),f10(x14721,x14722,x14722))+P5(x14721,f7(x14721),x14722) 5.41/5.27 [1473]~P24(x14731)+~P6(x14731,f7(x14731),f10(x14731,x14732,x14732))+P6(x14731,f7(x14731),x14732) 5.41/5.27 [1476]~P5(a98,x14762,x14761)+~P6(a98,f7(a98),x14762)+P6(a98,f7(a98),f4(a98,x14761,x14762)) 5.41/5.27 [1479]P6(a100,f5(a100,x14791,x14792),x14791)+~P6(a100,f7(a100),x14791)+~P6(a100,f7(a100),x14792) 5.41/5.27 [1480]P6(a100,f4(a100,x14801,x14802),x14801)+~P6(a100,f7(a100),x14801)+~P6(a100,f2(a100),x14802) 5.41/5.27 [1481]P6(a98,f4(a98,x14811,x14812),x14811)+~P6(a98,f7(a98),x14811)+~P6(a98,f2(a98),x14812) 5.41/5.27 [1485]~P5(a98,x14851,f7(a98))+~P6(a98,x14852,f7(a98))+P5(a98,f7(a98),f4(a98,x14851,x14852)) 5.41/5.27 [1486]~P5(a98,f7(a98),x14862)+~P5(a98,f7(a98),x14861)+P5(a98,f7(a98),f10(a98,x14861,x14862)) 5.41/5.27 [1487]~P5(a98,f7(a98),x14872)+~P5(a98,f7(a98),x14871)+P5(a98,f7(a98),f4(a98,x14871,x14872)) 5.41/5.27 [1488]~P5(a98,f7(a98),x14881)+~P6(a98,f7(a98),x14882)+P5(a98,f7(a98),f4(a98,x14881,x14882)) 5.41/5.27 [1489]~P5(a98,x14891,f7(a98))+~P6(a98,f7(a98),x14892)+P5(a98,f4(a98,x14891,x14892),f7(a98)) 5.41/5.27 [1490]~P6(a98,x14902,f7(a98))+~P5(a98,f7(a98),x14901)+P5(a98,f4(a98,x14901,x14902),f7(a98)) 5.41/5.27 [1491]~P6(a98,x14912,f7(a98))+~P6(a98,f7(a98),x14911)+P6(a98,f4(a98,x14911,x14912),f7(a98)) 5.41/5.27 [1493]~P6(a98,x14931,f7(a98))+~P6(a98,f7(a98),x14932)+P6(a98,f4(a98,x14931,x14932),f7(a98)) 5.41/5.27 [1554]P6(a100,f7(a100),x15541)+P6(a100,f7(a100),x15542)+~P6(a100,f7(a100),f10(a100,x15542,x15541)) 5.41/5.27 [1580]P5(a98,x15801,x15802)+~P6(a98,f7(a98),x15801)+~P6(a98,f7(a98),f4(a98,x15802,x15801)) 5.41/5.27 [1581]P5(a98,x15811,x15812)+~P5(a98,f7(a98),x15812)+~P6(a98,f7(a98),f4(a98,x15812,x15811)) 5.41/5.27 [1582]P5(a98,x15821,f7(a98))+~P6(a98,x15822,f7(a98))+~P5(a98,f7(a98),f4(a98,x15821,x15822)) 5.41/5.27 [1583]P6(a98,x15831,f7(a98))+~P6(a98,f7(a98),x15832)+~P6(a98,f4(a98,x15831,x15832),f7(a98)) 5.41/5.27 [1584]P6(a98,f7(a98),x15841)+~P6(a98,x15842,f7(a98))+~P6(a98,f4(a98,x15841,x15842),f7(a98)) 5.41/5.27 [1585]P5(a98,f7(a98),x15851)+~P6(a98,f7(a98),x15852)+~P5(a98,f7(a98),f4(a98,x15851,x15852)) 5.41/5.27 [1586]P6(a98,f7(a98),x15861)+~P5(a98,f7(a98),x15862)+~P6(a98,f7(a98),f4(a98,x15862,x15861)) 5.41/5.27 [783]~P45(x7832)+E(x7831,f7(x7832))+E(f22(x7832,f11(x7832,x7831)),f2(a97)) 5.41/5.27 [784]~P55(x7841)+~E(f7(f101(x7841)),x7842)+E(f11(f101(x7841),x7842),f7(f101(x7841))) 5.41/5.27 [790]~P45(x7901)+~E(x7902,f7(x7901))+E(f22(x7901,f11(x7901,x7902)),f7(a97)) 5.41/5.27 [959]~P55(x9591)+P6(f101(x9591),x9592,f7(f101(x9591)))+E(f3(f101(x9591),x9592),x9592) 5.41/5.27 [1001]~P55(x10011)+P6(x10011,x10012,f7(x10011))+~E(f11(x10011,x10012),f8(x10011,f2(x10011))) 5.41/5.27 [1027]~P55(x10271)+~P6(x10271,x10272,f7(x10271))+E(f11(x10271,x10272),f8(x10271,f2(x10271))) 5.41/5.27 [1092]P6(a100,f70(x10922,x10921),x10922)+~P77(f24(x10921,x10922))+P77(f24(x10921,f7(a100))) 5.41/5.27 [1111]~P55(x11111)+~P6(f101(x11111),x11112,f7(f101(x11111)))+E(f8(f101(x11111),x11112),f3(f101(x11111),x11112)) 5.41/5.27 [1151]E(x11511,f7(a100))+E(x11512,f7(a100))+~E(f10(a100,f7(a100),f2(a100)),f10(a100,x11512,x11511)) 5.41/5.27 [1152]E(x11521,f7(a100))+E(f7(a100),x11522)+~E(f10(a100,x11522,x11521),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1208]~E(x12082,f7(a100))+~E(x12081,f10(a100,f7(a100),f2(a100)))+E(f10(a100,x12081,x12082),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1209]~E(f7(a100),x12091)+~E(f10(a100,f7(a100),f2(a100)),x12092)+E(f10(a100,x12091,x12092),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1210]~E(x12101,f7(a100))+~E(x12102,f10(a100,f7(a100),f2(a100)))+E(f10(a100,f7(a100),f2(a100)),f10(a100,x12101,x12102)) 5.41/5.27 [1211]~E(x12112,f7(a100))+~E(f10(a100,f7(a100),f2(a100)),x12111)+E(f10(a100,f7(a100),f2(a100)),f10(a100,x12111,x12112)) 5.41/5.27 [1283]E(x12831,f7(a100))+E(x12831,f10(a100,f7(a100),f2(a100)))+~E(f10(a100,f7(a100),f2(a100)),f10(a100,x12832,x12831)) 5.41/5.27 [1284]E(x12841,f7(a100))+E(f10(a100,f7(a100),f2(a100)),x12841)+~E(f10(a100,x12842,x12841),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1285]E(x12851,f7(a100))+E(f10(a100,f7(a100),f2(a100)),x12851)+~E(f10(a100,f7(a100),f2(a100)),f10(a100,x12851,x12852)) 5.41/5.27 [1286]E(f7(a100),x12861)+E(x12861,f10(a100,f7(a100),f2(a100)))+~E(f10(a100,x12861,x12862),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1335]~E(x13351,x13352)+~P5(a100,x13352,x13351)+P6(a100,x13351,f10(a100,x13352,f2(a100))) 5.41/5.27 [1395]E(x13951,f10(a100,f7(a100),f2(a100)))+E(f10(a100,f7(a100),f2(a100)),x13952)+~E(f10(a100,x13951,x13952),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1396]E(x13961,f10(a100,f7(a100),f2(a100)))+E(f10(a100,f7(a100),f2(a100)),x13962)+~E(f10(a100,f7(a100),f2(a100)),f10(a100,x13962,x13961)) 5.41/5.27 [1410]~P6(a100,x14101,x14102)+P6(a100,f10(a100,x14101,f2(a100)),x14102)+E(f10(a100,x14101,f2(a100)),x14102) 5.41/5.27 [1427]E(x14271,x14272)+P6(a100,x14271,x14272)+~P6(a100,x14271,f10(a100,x14272,f2(a100))) 5.41/5.27 [1428]E(x14281,x14282)+P6(a98,x14281,x14282)+~P6(a98,x14281,f10(a98,x14282,f2(a98))) 5.41/5.27 [1495]P6(a100,f41(x14952,x14951),x14952)+E(f7(a100),x14951)+~P6(a100,x14951,f10(a100,x14952,f2(a100))) 5.41/5.27 [1500]E(x15001,x15002)+~P5(a100,x15002,x15001)+~P6(a100,x15001,f10(a100,x15002,f2(a100))) 5.41/5.27 [1501]E(f7(a100),x15011)+~P6(a100,x15011,f10(a100,x15012,f2(a100)))+E(f10(a100,f41(x15012,x15011),f2(a100)),x15011) 5.41/5.27 [1519]~P15(x15191)+P9(x15191,x15192)+~P5(x15191,f24(x15192,f35(x15192,x15191)),f24(x15192,f34(x15192,x15191))) 5.41/5.27 [1520]~P15(x15201)+P10(x15201,x15202)+~P5(x15201,f24(x15202,f61(x15202,x15201)),f24(x15202,f62(x15202,x15201))) 5.41/5.27 [1563]P5(a100,x15631,x15632)+~P5(a100,x15631,f10(a100,x15632,f2(a100)))+E(x15631,f10(a100,x15632,f2(a100))) 5.41/5.27 [1564]P5(a100,x15642,x15641)+~P5(a100,x15642,f10(a100,x15641,f2(a100)))+E(f10(a100,x15641,f2(a100)),x15642) 5.41/5.27 [1690]E(f20(x16901),x16902)+~P5(a97,f21(a100,x16902),x16901)+~P6(a97,x16901,f10(a97,f21(a100,x16902),f2(a97))) 5.41/5.27 [1740]~P6(a97,f21(a100,x17402),x17401)+~P5(a97,x17401,f10(a97,f21(a100,x17402),f2(a97)))+E(f12(x17401),f10(a100,x17402,f2(a100))) 5.41/5.27 [1806]P6(a100,x18061,x18062)+~P6(a100,f7(a100),x18062)+E(f10(a100,f4(a100,f5(a100,x18061,x18062),x18062),f2(a100)),f4(a100,x18061,x18062)) 5.41/5.27 [799]~E(x7991,f2(a100))+~E(x7992,f2(a100))+E(f24(f24(f9(a100),x7991),x7992),f2(a100)) 5.41/5.27 [800]~E(x8002,f2(a100))+~E(f2(a100),x8001)+E(f24(f24(f9(a100),x8001),x8002),f2(a100)) 5.41/5.27 [849]~P63(x8491)+~E(x8492,f2(x8491))+E(f24(f24(f9(x8491),x8492),x8492),f2(x8491)) 5.41/5.27 [871]E(f7(a100),x8711)+E(f2(a100),x8712)+~E(f24(f24(f9(a100),x8711),x8712),x8711) 5.41/5.27 [874]E(f7(a100),x8741)+E(f7(a100),x8742)+~E(f24(f24(f9(a100),x8742),x8741),f7(a100)) 5.41/5.27 [929]~P63(x9291)+~E(f8(x9291,f2(x9291)),x9292)+E(f24(f24(f9(x9291),x9292),x9292),f2(x9291)) 5.41/5.27 [1101]E(x11011,f2(a98))+~P6(a98,f7(a98),x11012)+~E(f24(f24(f9(a98),x11012),x11011),f2(a98)) 5.41/5.27 [1102]E(f2(a98),x11021)+~P6(a98,f7(a98),x11021)+~E(f24(f24(f9(a98),x11021),x11022),f2(a98)) 5.41/5.27 [1176]~P72(x11761)+~P44(x11761)+E(f24(f24(f13(x11761),f7(x11761)),f10(a100,x11762,f2(a100))),f7(x11761)) 5.41/5.27 [1251]E(f7(a100),x12511)+E(x12512,f10(a100,f7(a100),f2(a100)))+~E(f24(f24(f13(a100),x12512),x12511),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1370]~P6(a97,f7(a97),x13701)+~P6(a100,f7(a100),x13702)+E(f24(f24(f13(a97),f95(x13701,x13702)),x13702),x13701) 5.41/5.27 [1371]~P6(a97,f7(a97),x13711)+~P6(a100,f7(a100),x13712)+E(f24(f24(f13(a97),f37(x13711,x13712)),x13712),x13711) 5.41/5.27 [1388]E(x13881,f7(a100))+P6(a100,f7(a100),x13882)+~P6(a100,f7(a100),f24(f24(f13(a100),x13882),x13881)) 5.41/5.27 [1389]E(f7(a100),x13891)+P6(a100,f7(a100),x13892)+~P6(a100,f7(a100),f24(f24(f13(a100),x13892),x13891)) 5.41/5.27 [1390]~E(x13901,f10(a100,f7(a100),f2(a100)))+~E(f10(a100,f7(a100),f2(a100)),x13902)+E(f24(f24(f9(a100),x13901),x13902),f10(a100,f7(a100),f2(a100))) 5.41/5.27 [1447]~P5(a98,f7(a98),x14472)+~P5(a98,f7(a98),x14471)+P5(a98,f7(a98),f24(f24(f9(a98),x14471),x14472)) 5.41/5.27 [1448]~P6(a97,f7(a97),x14482)+~P6(a97,f7(a97),x14481)+P6(a97,f7(a97),f24(f24(f9(a97),x14481),x14482)) 5.41/5.27 [1449]~P6(a100,f7(a100),x14492)+~P6(a100,f7(a100),x14491)+P6(a100,f7(a100),f24(f24(f9(a100),x14491),x14492)) 5.41/5.27 [1570]E(x15701,f7(a100))+~E(x15702,f7(a98))+~P6(a98,f7(a98),f24(f24(f13(a98),f3(a98,x15702)),x15701)) 5.41/5.27 [1652]~P77(f24(x16521,x16522))+P77(f24(x16521,f7(a100)))+P77(f24(x16521,f10(a100,f70(x16522,x16521),f2(a100)))) 5.41/5.27 [1866]~P6(a100,f10(a100,f7(a100),f2(a100)),x18662)+~P6(a100,f10(a100,f7(a100),f2(a100)),x18661)+P6(a100,x18661,f24(f24(f9(a100),x18662),x18661)) 5.41/5.27 [1867]~P6(a100,f10(a100,f7(a100),f2(a100)),x18672)+~P6(a100,f10(a100,f7(a100),f2(a100)),x18671)+P6(a100,x18671,f24(f24(f9(a100),x18671),x18672)) 5.41/5.27 [1899]~P5(a100,f10(a100,f7(a100),f2(a100)),x18991)+~P5(a100,f10(a100,f7(a100),f2(a100)),x18992)+P5(a100,f10(a100,f7(a100),f2(a100)),f24(f24(f9(a100),x18991),x18992)) 5.41/5.27 [1900]~P6(a100,f10(a100,f7(a100),f2(a100)),x19001)+~P6(a100,f10(a100,f7(a100),f2(a100)),x19002)+P6(a100,f10(a100,f7(a100),f2(a100)),f24(f24(f9(a100),x19001),x19002)) 5.41/5.27 [912]~P53(x9122)+E(x9121,f7(a100))+E(f24(f15(x9122,f2(f101(x9122))),x9121),f7(x9122)) 5.41/5.27 [915]~P53(x9151)+~E(f7(a100),x9152)+E(f24(f15(x9151,f2(f101(x9151))),x9152),f2(x9151)) 5.41/5.27 [1330]~E(x13302,f7(a97))+~E(f7(a97),x13301)+E(f10(a97,f24(f24(f9(a97),x13301),x13301),f24(f24(f9(a97),x13302),x13302)),f7(a97)) 5.41/5.27 [1483]~P6(a97,f7(a97),x14832)+~P6(a97,f7(a97),x14831)+E(f6(f24(f24(f9(a97),x14831),x14832)),f10(a97,f6(x14831),f6(x14832))) 5.41/5.27 [1801]~P5(a97,f7(a97),x18012)+~P5(a97,f7(a97),x18011)+P5(a100,f24(f24(f9(a100),f20(x18011)),f20(x18012)),f20(f24(f24(f9(a97),x18011),x18012))) 5.41/5.27 [1841]~P5(a97,f7(a97),x18411)+~P6(a97,f7(a97),x18412)+P5(a97,f24(f24(f9(a97),f21(a100,f39(x18411,x18412))),x18412),x18411) 5.41/5.27 [1876]~P6(a100,f7(a100),x18762)+~P6(a98,f7(a98),x18761)+E(f24(f24(f13(a98),x18761),f5(a100,x18762,f10(a100,f7(a100),f2(a100)))),f4(a98,f24(f24(f13(a98),x18761),x18762),x18761)) 5.41/5.27 [1981]~P5(a97,f7(a97),x19811)+~P6(a97,f7(a97),x19812)+P6(a97,x19811,f24(f24(f9(a97),f21(a100,f10(a100,f39(x19811,x19812),f2(a100)))),x19812)) 5.41/5.27 [811]~E(x8113,x8112)+~P15(x8111)+P5(x8111,x8112,x8113) 5.41/5.27 [812]~E(x8123,x8122)+~P43(x8121)+P5(x8121,x8122,x8123) 5.41/5.27 [814]~E(x8142,x8143)+~P15(x8141)+P5(x8141,x8142,x8143) 5.41/5.27 [927]~P6(x9273,x9271,x9272)+~E(x9271,x9272)+~P15(x9273) 5.41/5.27 [928]~P6(x9283,x9281,x9282)+~E(x9281,x9282)+~P34(x9283) 5.41/5.27 [983]P5(x9831,x9833,x9832)+~P34(x9831)+P5(x9831,x9832,x9833) 5.41/5.27 [988]P6(x9881,x9883,x9882)+~P34(x9881)+P5(x9881,x9882,x9883) 5.41/5.27 [1055]~P15(x10551)+~P6(x10551,x10552,x10553)+P5(x10551,x10552,x10553) 5.41/5.27 [1057]~P43(x10571)+~P6(x10571,x10572,x10573)+P5(x10571,x10572,x10573) 5.41/5.27 [1124]~P6(x11241,x11243,x11242)+~P15(x11241)+~P6(x11241,x11242,x11243) 5.41/5.27 [1125]~P6(x11251,x11253,x11252)+~P43(x11251)+~P5(x11251,x11252,x11253) 5.41/5.27 [1129]~P6(x11291,x11293,x11292)+~P43(x11291)+~P6(x11291,x11292,x11293) 5.41/5.27 [1132]~P6(x11321,x11323,x11322)+~P34(x11321)+~P5(x11321,x11322,x11323) 5.41/5.27 [1133]~P6(x11331,x11333,x11332)+~P34(x11331)+~P6(x11331,x11332,x11333) 5.41/5.27 [1233]~P5(a97,x12331,x12333)+P5(a97,x12331,x12332)+~P5(a97,x12333,x12332) 5.41/5.27 [1234]~P5(a100,x12341,x12343)+P5(a100,x12341,x12342)+~P5(a100,x12343,x12342) 5.41/5.27 [1235]~P5(a98,x12351,x12353)+P5(a98,x12351,x12352)+~P5(a98,x12353,x12352) 5.41/5.27 [771]~P17(x7712)+~E(x7713,f8(x7712,x7711))+E(x7711,f8(x7712,x7713)) 5.41/5.27 [772]~P17(x7722)+~E(f8(x7722,x7721),x7723)+E(x7721,f8(x7722,x7723)) 5.41/5.27 [773]~P17(x7731)+~E(x7732,f8(x7731,x7733))+E(f8(x7731,x7732),x7733) 5.41/5.27 [776]~P17(x7763)+E(x7761,x7762)+~E(f8(x7763,x7761),f8(x7763,x7762)) 5.41/5.27 [777]~P39(x7773)+E(x7771,x7772)+~E(f8(x7773,x7771),f8(x7773,x7772)) 5.41/5.27 [778]~P38(x7783)+E(x7781,x7782)+~E(f15(x7783,x7781),f15(x7783,x7782)) 5.41/5.27 [831]~E(x8313,x8312)+~P17(x8311)+E(f5(x8311,x8312,x8313),f7(x8311)) 5.41/5.27 [832]~E(x8322,x8323)+~P11(x8321)+E(f5(x8321,x8322,x8323),f7(x8321)) 5.41/5.27 [845]~P75(x8451)+~E(f7(x8451),x8453)+E(f10(x8451,x8452,x8453),x8452) 5.41/5.27 [846]~E(x8463,x8462)+~P55(x8461)+P5(f101(x8461),x8462,x8463) 5.41/5.27 [904]~P17(x9041)+~E(x9043,f8(x9041,x9042))+E(f10(x9041,x9042,x9043),f7(x9041)) 5.41/5.27 [905]~P17(x9051)+~E(x9052,f8(x9051,x9053))+E(f10(x9051,x9052,x9053),f7(x9051)) 5.41/5.27 [938]~P75(x9381)+~E(f10(x9381,x9383,x9382),x9383)+E(f7(x9381),x9382) 5.41/5.27 [942]~P17(x9423)+E(x9421,x9422)+~E(f5(x9423,x9421,x9422),f7(x9423)) 5.41/5.27 [943]~P11(x9433)+E(x9431,x9432)+~E(f5(x9433,x9431,x9432),f7(x9433)) 5.41/5.27 [978]~P17(x9782)+~E(f10(x9782,x9783,x9781),f7(x9782))+E(x9781,f8(x9782,x9783)) 5.41/5.27 [979]~P17(x9792)+~E(f10(x9792,x9791,x9793),f7(x9792))+E(x9791,f8(x9792,x9793)) 5.41/5.27 [980]~P17(x9801)+~E(f10(x9801,x9802,x9803),f7(x9801))+E(f8(x9801,x9802),x9803) 5.41/5.27 [1164]~P30(x11641)+P5(x11641,x11642,x11643)+~P5(x11641,f3(x11641,x11642),x11643) 5.41/5.27 [1165]~P55(x11651)+P6(x11651,x11652,x11653)+~P6(x11651,f3(x11651,x11652),x11653) 5.41/5.27 [1188]~P16(x11881)+~P5(x11881,x11883,x11882)+P5(x11881,f8(x11881,x11882),f8(x11881,x11883)) 5.41/5.27 [1190]~P39(x11901)+~P5(x11901,x11903,x11902)+P5(x11901,f8(x11901,x11902),f8(x11901,x11903)) 5.41/5.27 [1191]~P16(x11911)+~P6(x11911,x11913,x11912)+P6(x11911,f8(x11911,x11912),f8(x11911,x11913)) 5.41/5.27 [1214]~P16(x12141)+~P5(x12141,x12143,f8(x12141,x12142))+P5(x12141,x12142,f8(x12141,x12143)) 5.41/5.27 [1216]~P16(x12161)+~P6(x12161,x12163,f8(x12161,x12162))+P6(x12161,x12162,f8(x12161,x12163)) 5.41/5.27 [1218]~P16(x12181)+~P5(x12181,f8(x12181,x12183),x12182)+P5(x12181,f8(x12181,x12182),x12183) 5.41/5.27 [1220]~P30(x12201)+~P5(x12201,f3(x12201,x12202),x12203)+P5(x12201,f8(x12201,x12202),x12203) 5.41/5.27 [1222]~P16(x12221)+~P6(x12221,f8(x12221,x12223),x12222)+P6(x12221,f8(x12221,x12222),x12223) 5.41/5.27 [1223]~P55(x12231)+~P6(x12231,f3(x12231,x12232),x12233)+P6(x12231,f8(x12231,x12232),x12233) 5.41/5.27 [1238]~P5(a100,x12383,x12381)+~E(f5(a100,x12381,x12383),x12382)+E(x12381,f10(a100,x12382,x12383)) 5.41/5.27 [1239]~P5(a100,x12392,x12391)+~E(x12391,f10(a100,x12393,x12392))+E(f5(a100,x12391,x12392),x12393) 5.41/5.27 [1252]~P12(x12521)+P5(x12521,x12522,x12523)+P6(x12521,f7(x12521),f31(x12523,x12522,x12521)) 5.41/5.27 [1253]~P14(x12531)+P5(x12531,x12532,x12533)+P6(x12531,f7(x12531),f55(x12533,x12532,x12531)) 5.41/5.27 [1254]~P14(x12541)+P5(x12541,x12542,x12543)+P6(x12541,f55(x12543,x12542,x12541),f2(x12541)) 5.41/5.27 [1255]~P16(x12551)+P5(x12551,x12552,x12553)+~P5(x12551,f8(x12551,x12553),f8(x12551,x12552)) 5.41/5.27 [1256]~P39(x12561)+P5(x12561,x12562,x12563)+~P5(x12561,f8(x12561,x12563),f8(x12561,x12562)) 5.41/5.27 [1257]~P16(x12571)+P6(x12571,x12572,x12573)+~P6(x12571,f8(x12571,x12573),f8(x12571,x12572)) 5.41/5.27 [1349]~P16(x13491)+~P5(x13491,x13492,x13493)+P5(x13491,f5(x13491,x13492,x13493),f7(x13491)) 5.41/5.27 [1350]~P16(x13501)+~P6(x13501,x13502,x13503)+P6(x13501,f5(x13501,x13502,x13503),f7(x13501)) 5.41/5.27 [1450]~P16(x14501)+P5(x14501,x14502,x14503)+~P5(x14501,f5(x14501,x14502,x14503),f7(x14501)) 5.41/5.27 [1451]~P16(x14511)+P6(x14511,x14512,x14513)+~P6(x14511,f5(x14511,x14512,x14513),f7(x14511)) 5.41/5.27 [1466]~P6(a97,x14663,x14662)+~P6(a97,x14662,x14661)+P6(a97,f7(a97),f96(x14661,x14662,x14663)) 5.41/5.27 [1467]~P6(a97,x14673,x14672)+~P6(a97,x14672,x14671)+P6(a97,f7(a97),f33(x14671,x14672,x14673)) 5.41/5.27 [1644]~P6(a100,x16443,x16441)+~P6(a100,x16443,x16442)+P6(a100,f5(a100,x16441,x16442),f5(a100,x16441,x16443)) 5.41/5.27 [1645]~P5(a100,x16452,x16451)+~P6(a100,x16451,x16453)+P6(a100,f5(a100,x16451,x16452),f5(a100,x16453,x16452)) 5.41/5.27 [1647]~P5(a98,x16473,x16471)+P5(a98,f4(a98,x16471,x16472),f4(a98,x16473,x16472))+~P6(a98,x16472,f7(a98)) 5.41/5.27 [1648]~P5(a100,x16483,x16482)+P5(a100,f4(a100,x16481,x16482),f4(a100,x16481,x16483))+~P6(a100,f7(a100),x16483) 5.41/5.27 [1649]~P5(a98,x16491,x16493)+P5(a98,f4(a98,x16491,x16492),f4(a98,x16493,x16492))+~P6(a98,f7(a98),x16492) 5.41/5.27 [1724]~P5(a100,x17243,x17242)+~P5(a100,f10(a100,x17241,x17243),x17242)+P5(a100,x17241,f5(a100,x17242,x17243)) 5.41/5.27 [1725]~P5(a100,x17252,x17253)+~P5(a100,x17251,f5(a100,x17253,x17252))+P5(a100,f10(a100,x17251,x17252),x17253) 5.41/5.27 [830]~P49(x8301)+~E(f7(f101(x8301)),x8302)+E(f24(f17(x8301,x8302),x8303),f7(x8301)) 5.41/5.27 [961]~P49(x9611)+E(f18(x9611,x9612,x9613),f7(a100))+E(f24(f17(x9611,x9613),x9612),f7(x9611)) 5.41/5.27 [1160]~P45(x11601)+~P8(x11601,x11602)+P5(a97,f22(x11601,f24(x11602,x11603)),f53(x11602,x11601)) 5.41/5.27 [1161]~P45(x11611)+~P8(x11611,x11612)+P5(a97,f22(x11611,f24(x11612,x11613)),f69(x11612,x11611)) 5.41/5.27 [1277]~P55(x12771)+~P6(f101(x12771),x12773,x12772)+P7(x12771,f5(f101(x12771),x12772,x12773)) 5.41/5.27 [1372]~P55(x13721)+P5(f101(x13721),x13722,x13723)+~P7(x13721,f5(f101(x13721),x13723,x13722)) 5.41/5.27 [1373]~P55(x13731)+P6(f101(x13731),x13732,x13733)+~P7(x13731,f5(f101(x13731),x13733,x13732)) 5.41/5.27 [1408]~E(f7(a100),x14083)+P77(f24(x14081,f4(a100,x14082,x14083)))+~P77(f24(x14081,f7(a100))) 5.41/5.27 [1468]~P6(a100,x14681,x14683)+~P6(a100,x14683,x14682)+P6(a100,f10(a100,x14681,f2(a100)),x14682) 5.41/5.27 [1484]~P6(a100,x14843,x14842)+P6(a100,x14841,f10(a100,x14842,f2(a100)))+~E(x14841,f10(a100,x14843,f2(a100))) 5.41/5.27 [1498]~P4(x14982)+E(x14981,f7(x14982))+E(f10(x14982,f4(x14982,x14983,x14981),f2(x14982)),f4(x14982,f10(x14982,x14983,x14981),x14981)) 5.41/5.27 [1499]~P4(x14992)+E(x14991,f7(x14992))+E(f10(x14992,f4(x14992,x14993,x14991),f2(x14992)),f4(x14992,f10(x14992,x14991,x14993),x14991)) 5.41/5.27 [1594]P6(a100,f87(x15941,x15942,x15943),x15941)+E(f7(a100),x15941)+P77(f24(x15943,f4(a100,x15942,x15941))) 5.41/5.27 [1617]~E(f7(a100),x16172)+~P77(f24(x16171,f4(a100,x16173,x16172)))+P77(f24(x16171,f7(a100))) 5.41/5.27 [1618]~E(f7(a98),x16182)+~P77(f24(x16181,f4(a98,x16183,x16182)))+P77(f24(x16181,f7(a98))) 5.41/5.27 [1637]E(x16371,f7(a97))+~P5(a97,x16372,f7(a97))+~P5(a97,f3(a97,x16371),f24(f24(f9(a97),x16372),f3(a97,x16373))) 5.41/5.27 [1688]P6(a100,x16882,x16881)+E(f10(a100,x16881,f90(x16881,x16882,x16883)),x16882)+P77(f24(x16883,f5(a100,x16882,x16881))) 5.41/5.27 [1689]P6(a100,x16892,x16891)+E(f10(a100,x16891,f42(x16891,x16892,x16893)),x16892)+P77(f24(x16893,f5(a100,x16892,x16891))) 5.41/5.27 [1695]P6(a100,f87(x16951,x16952,x16953),x16951)+P77(f24(x16953,f4(a100,x16952,x16951)))+~P77(f24(x16953,f7(a100))) 5.41/5.27 [1696]E(f10(a100,x16961,f90(x16961,x16962,x16963)),x16962)+P77(f24(x16963,f5(a100,x16962,x16961)))+~P77(f24(x16963,f7(a100))) 5.41/5.27 [1697]E(f10(a100,x16971,f42(x16971,x16972,x16973)),x16972)+P77(f24(x16973,f5(a100,x16972,x16971)))+~P77(f24(x16973,f7(a100))) 5.41/5.27 [1708]~P38(x17083)+E(x17081,x17082)+~E(f24(f15(x17083,x17081),f71(x17081,x17082,x17083)),f24(f15(x17083,x17082),f71(x17081,x17082,x17083))) 5.41/5.27 [1709]~P5(a100,x17092,x17093)+~P5(a100,x17092,x17091)+E(f5(a100,f5(a100,x17091,x17092),f5(a100,x17093,x17092)),f5(a100,x17091,x17093)) 5.41/5.27 [1729]~P6(a100,x17292,x17293)+~P77(f24(x17291,f5(a100,x17292,x17293)))+P77(f24(x17291,f7(a100))) 5.41/5.27 [1845]E(f7(a100),x18451)+~P77(f24(x18452,f88(x18451,x18453,x18452)))+P77(f24(x18452,f4(a100,x18453,x18451))) 5.41/5.27 [1860]~P12(x18601)+P5(x18601,x18602,x18603)+~P5(x18601,x18602,f10(x18601,x18603,f31(x18603,x18602,x18601))) 5.41/5.27 [1864]P6(a100,x18641,x18642)+~P77(f24(x18643,f42(x18642,x18641,x18643)))+P77(f24(x18643,f5(a100,x18641,x18642))) 5.41/5.27 [1865]P6(a100,x18651,x18652)+~P77(f24(x18653,f90(x18652,x18651,x18653)))+P77(f24(x18653,f5(a100,x18651,x18652))) 5.41/5.27 [1869]~P77(f24(x18691,f42(x18693,x18692,x18691)))+P77(f24(x18691,f5(a100,x18692,x18693)))+~P77(f24(x18691,f7(a100))) 5.41/5.27 [1870]~P77(f24(x18701,f90(x18703,x18702,x18701)))+P77(f24(x18701,f5(a100,x18702,x18703)))+~P77(f24(x18701,f7(a100))) 5.41/5.27 [1871]~P77(f24(x18711,f88(x18713,x18712,x18711)))+P77(f24(x18711,f4(a100,x18712,x18713)))+~P77(f24(x18711,f7(a100))) 5.41/5.27 [1877]E(f7(a100),x18771)+E(f10(a100,f24(f24(f9(a100),x18771),f88(x18771,x18772,x18773)),f87(x18771,x18772,x18773)),x18772)+P77(f24(x18773,f4(a100,x18772,x18771))) 5.41/5.27 [1888]E(f10(a100,f24(f24(f9(a100),x18881),f88(x18881,x18882,x18883)),f87(x18881,x18882,x18883)),x18882)+P77(f24(x18883,f4(a100,x18882,x18881)))+~P77(f24(x18883,f7(a100))) 5.41/5.27 [833]~P44(x8331)+~E(f7(a100),x8333)+E(f24(f24(f13(x8331),x8332),x8333),f2(x8331)) 5.41/5.27 [850]~P73(x8501)+~E(f7(x8501),x8503)+E(f24(f24(f9(x8501),x8502),x8503),f7(x8501)) 5.41/5.27 [851]~P73(x8511)+~E(f7(x8511),x8512)+E(f24(f24(f9(x8511),x8512),x8513),f7(x8511)) 5.41/5.27 [940]~P63(x9401)+E(f7(x9401),x9402)+~E(f24(f24(f13(x9401),x9402),x9403),f7(x9401)) 5.41/5.27 [1016]~P49(x10161)+~E(x10162,f8(x10161,x10163))+E(f24(f24(f9(x10161),x10162),x10162),f24(f24(f9(x10161),x10163),x10163)) 5.41/5.27 [1075]E(x10751,x10752)+E(x10753,f7(a97))+~E(f24(f24(f9(a97),x10753),x10751),f24(f24(f9(a97),x10753),x10752)) 5.41/5.27 [1076]E(x10761,x10762)+E(x10763,f7(a97))+~E(f24(f24(f9(a97),x10761),x10763),f24(f24(f9(a97),x10762),x10763)) 5.41/5.27 [1077]E(x10771,x10772)+E(x10773,f7(a100))+~E(f24(f24(f9(a100),x10771),x10773),f24(f24(f9(a100),x10772),x10773)) 5.41/5.27 [1079]E(x10791,x10792)+E(f7(a100),x10793)+~E(f24(f24(f9(a100),x10793),x10791),f24(f24(f9(a100),x10793),x10792)) 5.41/5.27 [1275]E(x12751,x12752)+~P6(a100,f7(a100),x12753)+~E(f24(f24(f9(a100),x12753),x12751),f24(f24(f9(a100),x12753),x12752)) 5.41/5.27 [1355]~P54(x13551)+~P5(x13551,f7(x13551),x13552)+P5(x13551,f7(x13551),f24(f24(f13(x13551),x13552),x13553)) 5.41/5.27 [1356]~P54(x13561)+~P5(x13561,f2(x13561),x13562)+P5(x13561,f2(x13561),f24(f24(f13(x13561),x13562),x13563)) 5.41/5.27 [1357]~P54(x13571)+~P6(x13571,f7(x13571),x13572)+P6(x13571,f7(x13571),f24(f24(f13(x13571),x13572),x13573)) 5.41/5.27 [1600]~P5(a97,x16002,x16003)+~P6(a97,f7(a97),x16001)+P5(a97,f24(f24(f9(a97),x16001),x16002),f24(f24(f9(a97),x16001),x16003)) 5.41/5.27 [1601]~P5(a97,x16011,x16013)+~P6(a97,f7(a97),x16012)+P5(a97,f24(f24(f9(a97),x16011),x16012),f24(f24(f9(a97),x16013),x16012)) 5.41/5.27 [1603]~P6(a97,x16031,x16033)+~P6(a97,f7(a97),x16032)+P6(a97,f24(f24(f9(a97),x16031),x16032),f24(f24(f9(a97),x16033),x16032)) 5.41/5.27 [1604]~P6(a97,x16042,x16043)+~P6(a97,f7(a97),x16041)+P6(a97,f24(f24(f9(a97),x16041),x16042),f24(f24(f9(a97),x16041),x16043)) 5.41/5.27 [1608]~P6(a100,x16081,x16083)+~P6(a100,f7(a100),x16082)+P6(a100,f24(f24(f9(a100),x16081),x16082),f24(f24(f9(a100),x16083),x16082)) 5.41/5.27 [1609]~P6(a100,x16092,x16093)+~P6(a100,f7(a100),x16091)+P6(a100,f24(f24(f9(a100),x16091),x16092),f24(f24(f9(a100),x16091),x16093)) 5.41/5.27 [1610]~P6(a98,x16102,x16103)+~P6(a98,f7(a98),x16101)+P6(a98,f24(f24(f9(a98),x16101),x16102),f24(f24(f9(a98),x16101),x16103)) 5.41/5.27 [1723]~P54(x17231)+~P6(x17231,f2(x17231),x17232)+P6(x17231,f2(x17231),f24(f24(f13(x17231),x17232),f10(a100,x17233,f2(a100)))) 5.41/5.27 [1734]~P45(x17341)+~P8(x17341,x17342)+P5(a97,f22(x17341,f24(x17342,x17343)),f21(a100,f10(a100,f57(x17342,x17341),f2(a100)))) 5.41/5.27 [1735]~P45(x17351)+~P8(x17351,x17352)+P6(a97,f22(x17351,f24(x17352,x17353)),f21(a100,f10(a100,f91(x17352,x17351),f2(a100)))) 5.41/5.27 [1741]P5(a97,x17411,x17412)+~P6(a97,f7(a97),x17413)+~P5(a97,f24(f24(f9(a97),x17413),x17411),f24(f24(f9(a97),x17413),x17412)) 5.41/5.27 [1742]P5(a97,x17421,x17422)+~P6(a97,f7(a97),x17423)+~P5(a97,f24(f24(f9(a97),x17421),x17423),f24(f24(f9(a97),x17422),x17423)) 5.41/5.27 [1744]P5(a100,x17441,x17442)+~P6(a100,f7(a100),x17443)+~P5(a100,f24(f24(f9(a100),x17443),x17441),f24(f24(f9(a100),x17443),x17442)) 5.41/5.27 [1745]P5(a100,x17451,x17452)+~P6(a100,f7(a100),x17453)+~P5(a100,f24(f24(f9(a100),x17451),x17453),f24(f24(f9(a100),x17452),x17453)) 5.41/5.27 [1746]P6(a97,x17461,x17462)+~P6(a97,f7(a97),x17463)+~P6(a97,f24(f24(f9(a97),x17461),x17463),f24(f24(f9(a97),x17462),x17463)) 5.41/5.27 [1748]P6(a100,x17481,x17482)+~P6(a100,f7(a100),x17483)+~P6(a100,f24(f24(f13(a100),x17483),x17481),f24(f24(f13(a100),x17483),x17482)) 5.41/5.27 [1904]~P49(x19041)+~E(f8(x19041,x19042),x19043)+E(f24(f24(f13(x19041),x19042),f10(a100,f10(a100,f7(a100),f2(a100)),f2(a100))),f24(f24(f13(x19041),x19043),f10(a100,f10(a100,f7(a100),f2(a100)),f2(a100)))) 5.41/5.27 [1932]~P14(x19321)+P5(x19321,x19322,x19323)+~P5(x19321,f24(f24(f9(x19321),f55(x19323,x19322,x19321)),x19322),x19323) 5.41/5.27 [1965]~P45(x19651)+P8(x19651,x19652)+~P5(a97,f22(x19651,f24(x19652,f58(x19652,x19651,x19653))),f21(a100,f10(a100,x19653,f2(a100)))) 5.41/5.27 [1966]~P45(x19661)+P8(x19661,x19662)+~P6(a97,f22(x19661,f24(x19662,f94(x19662,x19661,x19663))),f21(a100,f10(a100,x19663,f2(a100)))) 5.41/5.27 [1969]~P45(x19692)+P6(a97,f7(a97),f44(x19691,x19692))+~P5(a97,f22(x19692,f24(x19691,f45(x19691,x19692,x19693))),f21(a100,f10(a100,x19693,f2(a100)))) 5.41/5.27 [1970]~P45(x19702)+P6(a97,f7(a97),f79(x19701,x19702))+~P6(a97,f22(x19702,f24(x19701,f80(x19701,x19702,x19703))),f21(a100,f10(a100,x19703,f2(a100)))) 5.41/5.27 [1109]~P4(x11092)+E(x11091,f7(x11092))+E(f4(x11092,f24(f24(f9(x11092),x11093),x11091),x11091),x11093) 5.41/5.27 [1110]~P4(x11101)+E(f7(x11101),x11102)+E(f4(x11101,f24(f24(f9(x11101),x11102),x11103),x11102),x11103) 5.41/5.27 [1443]~P55(x14431)+~P5(x14431,f7(x14431),x14433)+E(f24(f24(f9(x14431),f3(x14431,x14432)),x14433),f3(x14431,f24(f24(f9(x14431),x14432),x14433))) 5.41/5.27 [1640]~P58(x16401)+E(f7(x16401),x16402)+~E(f10(x16401,f24(f24(f9(x16401),x16403),x16403),f24(f24(f9(x16401),x16402),x16402)),f7(x16401)) 5.41/5.27 [1641]~P58(x16411)+E(f7(x16411),x16412)+~E(f10(x16411,f24(f24(f9(x16411),x16412),x16412),f24(f24(f9(x16411),x16413),x16413)),f7(x16411)) 5.41/5.27 [1651]~P44(x16512)+E(x16511,f7(a100))+E(f24(f24(f9(x16512),x16513),f24(f24(f13(x16512),x16513),f5(a100,x16511,f2(a100)))),f24(f24(f13(x16512),x16513),x16511)) 5.41/5.27 [1707]~P54(x17071)+~P6(x17071,f2(x17071),x17072)+P6(x17071,f2(x17071),f24(f24(f9(x17071),x17072),f24(f24(f13(x17071),x17072),x17073))) 5.41/5.27 [1824]~P54(x18241)+~P6(x18241,f2(x18241),x18242)+P6(x18241,f24(f24(f13(x18241),x18242),x18243),f24(f24(f9(x18241),x18242),f24(f24(f13(x18241),x18242),x18243))) 5.41/5.27 [1835]~P58(x18352)+E(x18351,f7(x18352))+P6(x18352,f7(x18352),f10(x18352,f24(f24(f9(x18352),x18353),x18353),f24(f24(f9(x18352),x18351),x18351))) 5.41/5.27 [1836]~P58(x18362)+E(x18361,f7(x18362))+P6(x18362,f7(x18362),f10(x18362,f24(f24(f9(x18362),x18361),x18361),f24(f24(f9(x18362),x18363),x18363))) 5.41/5.27 [1892]~P45(x18921)+~P8(x18921,x18922)+P5(a97,f22(x18921,f10(x18921,f24(x18922,x18923),f8(x18921,f72(x18922,x18921)))),f52(x18922,x18921)) 5.41/5.27 [1924]~P58(x19242)+E(x19241,f7(x19242))+~P5(x19242,f10(x19242,f24(f24(f9(x19242),x19243),x19243),f24(f24(f9(x19242),x19241),x19241)),f7(x19242)) 5.41/5.27 [1925]~P58(x19252)+E(x19251,f7(x19252))+~P5(x19252,f10(x19252,f24(f24(f9(x19252),x19251),x19251),f24(f24(f9(x19252),x19253),x19253)),f7(x19252)) 5.41/5.27 [1916]~P26(x19161)+~P6(a100,f7(a100),x19163)+E(f24(f24(f9(x19161),f24(f24(f13(x19161),x19162),f5(a100,x19163,f2(a100)))),x19162),f24(f24(f13(x19161),x19162),x19163)) 5.41/5.27 [1955]~P45(x19551)+~P8(x19551,x19552)+P5(a97,f22(x19551,f10(x19551,f24(x19552,x19553),f8(x19551,f24(x19552,f29(x19552,x19551))))),f27(x19552,x19551)) 5.41/5.27 [1135]~P19(x11353)+E(x11351,x11352)+~E(f10(x11353,x11354,x11351),f10(x11353,x11354,x11352)) 5.41/5.27 [1137]~P22(x11373)+E(x11371,x11372)+~E(f10(x11373,x11374,x11371),f10(x11373,x11374,x11372)) 5.41/5.27 [1139]~P22(x11393)+E(x11391,x11392)+~E(f10(x11393,x11391,x11394),f10(x11393,x11392,x11394)) 5.41/5.27 [1224]~P41(x12242)+~P6(f103(x12241,x12242),x12243,x12244)+P5(f103(x12241,x12242),x12243,x12244) 5.41/5.27 [1351]~P41(x13511)+~P6(f103(x13512,x13511),x13514,x13513)+~P5(f103(x13512,x13511),x13513,x13514) 5.41/5.27 [1409]~P6(a100,x14093,x14094)+P6(a100,x14091,x14092)+~E(f10(a100,x14093,x14092),f10(a100,x14091,x14094)) 5.41/5.27 [1527]~P31(x15271)+~P5(x15271,x15273,x15274)+P5(x15271,f10(x15271,x15272,x15273),f10(x15271,x15272,x15274)) 5.41/5.27 [1528]~P32(x15281)+~P5(x15281,x15283,x15284)+P5(x15281,f10(x15281,x15282,x15283),f10(x15281,x15282,x15284)) 5.41/5.27 [1529]~P31(x15291)+~P5(x15291,x15292,x15294)+P5(x15291,f10(x15291,x15292,x15293),f10(x15291,x15294,x15293)) 5.41/5.27 [1530]~P32(x15301)+~P5(x15301,x15302,x15304)+P5(x15301,f10(x15301,x15302,x15303),f10(x15301,x15304,x15303)) 5.41/5.27 [1531]~P32(x15311)+~P6(x15311,x15313,x15314)+P6(x15311,f10(x15311,x15312,x15313),f10(x15311,x15312,x15314)) 5.41/5.27 [1532]~P33(x15321)+~P6(x15321,x15323,x15324)+P6(x15321,f10(x15321,x15322,x15323),f10(x15321,x15322,x15324)) 5.41/5.27 [1533]~P32(x15331)+~P6(x15331,x15332,x15334)+P6(x15331,f10(x15331,x15332,x15333),f10(x15331,x15334,x15333)) 5.41/5.27 [1534]~P33(x15341)+~P6(x15341,x15342,x15344)+P6(x15341,f10(x15341,x15342,x15343),f10(x15341,x15344,x15343)) 5.41/5.27 [1642]~P5(a100,x16422,x16424)+~P5(a100,x16421,x16423)+P5(a100,f10(a100,x16421,x16422),f10(a100,x16423,x16424)) 5.41/5.27 [1643]~P6(a100,x16432,x16434)+~P6(a100,x16431,x16433)+P6(a100,f10(a100,x16431,x16432),f10(a100,x16433,x16434)) 5.41/5.27 [1646]~P5(a98,x16462,x16464)+~P6(a98,x16461,x16463)+P6(a98,f10(a98,x16461,x16462),f10(a98,x16463,x16464)) 5.41/5.27 [1715]~P32(x17151)+P5(x17151,x17152,x17153)+~P5(x17151,f10(x17151,x17154,x17152),f10(x17151,x17154,x17153)) 5.41/5.27 [1717]~P32(x17171)+P5(x17171,x17172,x17173)+~P5(x17171,f10(x17171,x17172,x17174),f10(x17171,x17173,x17174)) 5.41/5.27 [1719]~P32(x17191)+P6(x17191,x17192,x17193)+~P6(x17191,f10(x17191,x17194,x17192),f10(x17191,x17194,x17193)) 5.41/5.27 [1721]~P32(x17211)+P6(x17211,x17212,x17213)+~P6(x17211,f10(x17211,x17212,x17214),f10(x17211,x17213,x17214)) 5.41/5.27 [1825]~P45(x18251)+P8(x18251,x18252)+P5(a100,x18253,f75(x18254,x18252,x18253,x18251)) 5.41/5.27 [1726]~E(x17263,f10(a100,x17264,x17262))+P77(f24(x17261,x17262))+~P77(f24(x17261,f5(a100,x17263,x17264))) 5.41/5.27 [1727]~E(f10(a100,x17273,x17272),x17274)+P77(f24(x17271,x17272))+~P77(f24(x17271,f5(a100,x17274,x17273))) 5.41/5.27 [1856]~P55(x18561)+P6(x18561,x18562,f10(x18561,x18563,x18564))+~P6(x18561,f3(x18561,f5(x18561,x18562,x18563)),x18564) 5.41/5.27 [1857]~P55(x18571)+P6(x18571,f5(x18571,x18572,x18573),x18574)+~P6(x18571,f3(x18571,f5(x18571,x18574,x18572)),x18573) 5.41/5.27 [2009]~P41(x20092)+P5(f103(x20091,x20092),x20093,x20094)+~P5(x20092,f24(x20093,f81(x20094,x20093,x20091,x20092)),f24(x20094,f81(x20094,x20093,x20091,x20092))) 5.41/5.27 [1593]~P5(a100,x15932,x15934)+~P5(a100,x15931,x15933)+P5(a100,f24(f24(f9(a100),x15931),x15932),f24(f24(f9(a100),x15933),x15934)) 5.41/5.27 [1976]~P45(x19761)+P5(a97,f22(x19761,f24(x19762,x19763)),f44(x19762,x19761))+~P5(a97,f22(x19761,f24(x19762,f45(x19762,x19761,x19764))),f21(a100,f10(a100,x19764,f2(a100)))) 5.41/5.27 [1977]~P45(x19771)+P5(a97,f22(x19771,f24(x19772,x19773)),f79(x19772,x19771))+~P6(a97,f22(x19771,f24(x19772,f80(x19772,x19771,x19774))),f21(a100,f10(a100,x19774,f2(a100)))) 5.41/5.27 [2008]~P45(x20081)+P8(x20081,x20082)+~P5(a97,f22(x20081,f24(x20082,f75(x20083,x20082,x20084,x20081))),x20083) 5.41/5.27 [1374]~P4(x13741)+~E(x13742,f7(x13741))+E(f4(x13741,f24(f24(f9(x13741),x13742),x13743),f24(f24(f9(x13741),x13742),x13744)),f7(x13741)) 5.41/5.27 [1453]~P4(x14532)+E(x14531,f7(x14532))+E(f4(x14532,f24(f24(f9(x14532),x14531),x14533),f24(f24(f9(x14532),x14531),x14534)),f4(x14532,x14533,x14534)) 5.41/5.27 [1454]~P4(x14541)+E(f7(x14541),x14542)+E(f4(x14541,f24(f24(f9(x14541),x14543),x14542),f24(f24(f9(x14541),x14544),x14542)),f4(x14541,x14543,x14544)) 5.41/5.27 [1949]~P26(x19491)+~P5(a100,x19494,x19493)+E(f24(f24(f9(x19491),f24(f24(f13(x19491),x19492),f5(a100,x19493,x19494))),x19492),f24(f24(f13(x19491),x19492),f5(a100,f10(a100,x19493,f2(a100)),x19494))) 5.41/5.27 [1980]~P38(x19802)+E(f19(x19801,x19802,x19803,x19804,f7(f101(x19802))),x19803)+~E(f24(f24(f24(x19804,f7(x19802)),f7(f101(x19802))),x19803),x19803) 5.41/5.27 [1793]~P4(x17931)+E(f7(x17931),x17932)+E(f4(x17931,f10(x17931,x17933,f24(f24(f9(x17931),x17934),x17932)),x17932),f10(x17931,x17934,f4(x17931,x17933,x17932))) 5.41/5.27 [1794]~P4(x17941)+E(f7(x17941),x17942)+E(f4(x17941,f10(x17941,x17943,f24(f24(f9(x17941),x17942),x17944)),x17942),f10(x17941,x17944,f4(x17941,x17943,x17942))) 5.41/5.27 [1298]~P41(x12981)+P5(x12981,f24(x12982,x12983),f24(x12984,x12983))+~P5(f103(x12985,x12981),x12982,x12984) 5.41/5.27 [1770]~E(x17704,x17702)+~P75(x17701)+E(f10(x17701,f24(f24(f9(x17701),x17702),x17703),f24(f24(f9(x17701),x17704),x17705)),f10(x17701,f24(f24(f9(x17701),x17702),x17705),f24(f24(f9(x17701),x17704),x17703))) 5.41/5.27 [1947]~P5(a100,x19473,x19472)+E(x19471,f10(a100,f24(f24(f9(a100),f5(a100,x19472,x19473)),x19474),x19475))+~E(f10(a100,f24(f24(f9(a100),x19473),x19474),x19471),f10(a100,f24(f24(f9(a100),x19472),x19474),x19475)) 5.41/5.27 [1948]~P5(a100,x19482,x19481)+E(f10(a100,f24(f24(f9(a100),f5(a100,x19481,x19482)),x19483),x19484),x19485)+~E(f10(a100,f24(f24(f9(a100),x19481),x19483),x19484),f10(a100,f24(f24(f9(a100),x19482),x19483),x19485)) 5.41/5.27 [1961]~P5(a100,x19614,x19611)+~E(x19615,f10(a100,f24(f24(f9(a100),f5(a100,x19611,x19614)),x19612),x19613))+E(f10(a100,f24(f24(f9(a100),x19611),x19612),x19613),f10(a100,f24(f24(f9(a100),x19614),x19612),x19615)) 5.41/5.27 [1962]~P5(a100,x19624,x19621)+~E(f10(a100,f24(f24(f9(a100),f5(a100,x19621,x19624)),x19622),x19623),x19625)+E(f10(a100,f24(f24(f9(a100),x19621),x19622),x19623),f10(a100,f24(f24(f9(a100),x19624),x19622),x19625)) 5.41/5.27 [1991]~P5(a100,x19913,x19912)+P5(a100,x19911,f10(a100,f24(f24(f9(a100),f5(a100,x19912,x19913)),x19914),x19915))+~P5(a100,f10(a100,f24(f24(f9(a100),x19913),x19914),x19911),f10(a100,f24(f24(f9(a100),x19912),x19914),x19915)) 5.41/5.27 [1992]~P5(a100,x19923,x19922)+P6(a100,x19921,f10(a100,f24(f24(f9(a100),f5(a100,x19922,x19923)),x19924),x19925))+~P6(a100,f10(a100,f24(f24(f9(a100),x19923),x19924),x19921),f10(a100,f24(f24(f9(a100),x19922),x19924),x19925)) 5.41/5.27 [1993]~P5(a100,x19932,x19931)+P5(a100,f10(a100,f24(f24(f9(a100),f5(a100,x19931,x19932)),x19933),x19934),x19935)+~P5(a100,f10(a100,f24(f24(f9(a100),x19931),x19933),x19934),f10(a100,f24(f24(f9(a100),x19932),x19933),x19935)) 5.41/5.27 [1994]~P5(a100,x19942,x19941)+P6(a100,f10(a100,f24(f24(f9(a100),f5(a100,x19941,x19942)),x19943),x19944),x19945)+~P6(a100,f10(a100,f24(f24(f9(a100),x19941),x19943),x19944),f10(a100,f24(f24(f9(a100),x19942),x19943),x19945)) 5.41/5.27 [1999]~P5(a100,x19991,x19994)+~P5(a100,x19993,f10(a100,f24(f24(f9(a100),f5(a100,x19994,x19991)),x19992),x19995))+P5(a100,f10(a100,f24(f24(f9(a100),x19991),x19992),x19993),f10(a100,f24(f24(f9(a100),x19994),x19992),x19995)) 5.41/5.27 [2000]~P5(a100,x20001,x20004)+~P6(a100,x20003,f10(a100,f24(f24(f9(a100),f5(a100,x20004,x20001)),x20002),x20005))+P6(a100,f10(a100,f24(f24(f9(a100),x20001),x20002),x20003),f10(a100,f24(f24(f9(a100),x20004),x20002),x20005)) 5.41/5.27 [2001]~P5(a100,x20014,x20011)+~P5(a100,f10(a100,f24(f24(f9(a100),f5(a100,x20011,x20014)),x20012),x20013),x20015)+P5(a100,f10(a100,f24(f24(f9(a100),x20011),x20012),x20013),f10(a100,f24(f24(f9(a100),x20014),x20012),x20015)) 5.41/5.27 [2002]~P5(a100,x20024,x20021)+~P6(a100,f10(a100,f24(f24(f9(a100),f5(a100,x20021,x20024)),x20022),x20023),x20025)+P6(a100,f10(a100,f24(f24(f9(a100),x20021),x20022),x20023),f10(a100,f24(f24(f9(a100),x20024),x20022),x20025)) 5.41/5.27 [1943]~P64(x19432)+~E(f10(x19432,f24(f24(f9(x19432),x19434),x19435),x19431),f10(x19432,f24(f24(f9(x19432),x19433),x19435),x19436))+E(x19431,f10(x19432,f24(f24(f9(x19432),f5(x19432,x19433,x19434)),x19435),x19436)) 5.41/5.27 [1944]~P64(x19441)+~E(f10(x19441,f24(f24(f9(x19441),x19442),x19444),x19445),f10(x19441,f24(f24(f9(x19441),x19443),x19444),x19446))+E(f10(x19441,f24(f24(f9(x19441),f5(x19441,x19442,x19443)),x19444),x19445),x19446) 5.41/5.27 [1959]~P64(x19591)+~E(x19596,f10(x19591,f24(f24(f9(x19591),f5(x19591,x19592,x19595)),x19593),x19594))+E(f10(x19591,f24(f24(f9(x19591),x19592),x19593),x19594),f10(x19591,f24(f24(f9(x19591),x19595),x19593),x19596)) 5.41/5.27 [1960]~P64(x19601)+~E(f10(x19601,f24(f24(f9(x19601),f5(x19601,x19602,x19605)),x19603),x19604),x19606)+E(f10(x19601,f24(f24(f9(x19601),x19602),x19603),x19604),f10(x19601,f24(f24(f9(x19601),x19605),x19603),x19606)) 5.41/5.27 [1995]~P67(x19951)+~P5(x19951,f10(x19951,f24(f24(f9(x19951),x19954),x19955),x19952),f10(x19951,f24(f24(f9(x19951),x19953),x19955),x19956))+P5(x19951,x19952,f10(x19951,f24(f24(f9(x19951),f5(x19951,x19953,x19954)),x19955),x19956)) 5.41/5.27 [1996]~P67(x19961)+~P6(x19961,f10(x19961,f24(f24(f9(x19961),x19964),x19965),x19962),f10(x19961,f24(f24(f9(x19961),x19963),x19965),x19966))+P6(x19961,x19962,f10(x19961,f24(f24(f9(x19961),f5(x19961,x19963,x19964)),x19965),x19966)) 5.41/5.27 [1997]~P67(x19971)+~P5(x19971,f10(x19971,f24(f24(f9(x19971),x19972),x19974),x19975),f10(x19971,f24(f24(f9(x19971),x19973),x19974),x19976))+P5(x19971,f10(x19971,f24(f24(f9(x19971),f5(x19971,x19972,x19973)),x19974),x19975),x19976) 5.41/5.27 [1998]~P67(x19981)+~P6(x19981,f10(x19981,f24(f24(f9(x19981),x19982),x19984),x19985),f10(x19981,f24(f24(f9(x19981),x19983),x19984),x19986))+P6(x19981,f10(x19981,f24(f24(f9(x19981),f5(x19981,x19982,x19983)),x19984),x19985),x19986) 5.41/5.27 [2003]~P67(x20031)+~P5(x20031,x20034,f10(x20031,f24(f24(f9(x20031),f5(x20031,x20035,x20032)),x20033),x20036))+P5(x20031,f10(x20031,f24(f24(f9(x20031),x20032),x20033),x20034),f10(x20031,f24(f24(f9(x20031),x20035),x20033),x20036)) 5.41/5.27 [2004]~P67(x20041)+~P6(x20041,x20044,f10(x20041,f24(f24(f9(x20041),f5(x20041,x20045,x20042)),x20043),x20046))+P6(x20041,f10(x20041,f24(f24(f9(x20041),x20042),x20043),x20044),f10(x20041,f24(f24(f9(x20041),x20045),x20043),x20046)) 5.41/5.27 [2005]~P67(x20051)+~P5(x20051,f10(x20051,f24(f24(f9(x20051),f5(x20051,x20052,x20055)),x20053),x20054),x20056)+P5(x20051,f10(x20051,f24(f24(f9(x20051),x20052),x20053),x20054),f10(x20051,f24(f24(f9(x20051),x20055),x20053),x20056)) 5.41/5.27 [2006]~P67(x20061)+~P6(x20061,f10(x20061,f24(f24(f9(x20061),f5(x20061,x20062,x20065)),x20063),x20064),x20066)+P6(x20061,f10(x20061,f24(f24(f9(x20061),x20062),x20063),x20064),f10(x20061,f24(f24(f9(x20061),x20065),x20063),x20066)) 5.41/5.27 [1006]~P36(x10062)+~P6(x10062,f7(x10062),x10061)+E(f11(x10062,x10061),f2(x10062))+E(x10061,f7(x10062)) 5.41/5.27 [1177]E(x11771,x11772)+~E(f6(x11771),f6(x11772))+~P6(a97,f7(a97),x11772)+~P6(a97,f7(a97),x11771) 5.41/5.27 [1184]P6(a98,x11842,x11841)+P6(a98,x11841,x11842)+E(f7(a98),x11841)+~E(f4(a98,x11842,x11841),f7(a98)) 5.41/5.27 [1192]P6(a98,x11922,x11921)+E(f7(a98),x11921)+P5(a98,x11922,f7(a98))+~E(f4(a98,x11922,x11921),f7(a98)) 5.41/5.27 [1193]P6(a98,x11931,x11932)+E(f7(a98),x11931)+P5(a98,f7(a98),x11932)+~E(f4(a98,x11932,x11931),f7(a98)) 5.41/5.27 [1455]~P5(a97,x14551,x14552)+P5(a97,f6(x14551),f6(x14552))+~P6(a97,f7(a97),x14552)+~P6(a97,f7(a97),x14551) 5.41/5.27 [1456]~P6(a97,x14561,x14562)+P6(a97,f6(x14561),f6(x14562))+~P6(a97,f7(a97),x14562)+~P6(a97,f7(a97),x14561) 5.41/5.27 [1477]P5(a97,x14771,x14772)+~P5(a97,f6(x14771),f6(x14772))+~P6(a97,f7(a97),x14772)+~P6(a97,f7(a97),x14771) 5.41/5.27 [1478]P6(a97,x14781,x14782)+~P6(a97,f6(x14781),f6(x14782))+~P6(a97,f7(a97),x14782)+~P6(a97,f7(a97),x14781) 5.41/5.27 [877]P7(x8772,x8771)+~P55(x8772)+P7(x8772,f8(f101(x8772),x8771))+E(x8771,f7(f101(x8772))) 5.41/5.27 [960]~P36(x9602)+P6(x9602,f7(x9602),x9601)+E(x9601,f7(x9602))+E(f11(x9602,x9601),f8(x9602,f2(x9602))) 5.41/5.27 [1113]~P55(x11131)+~P6(f101(x11131),f7(f101(x11131)),x11132)+E(f11(f101(x11131),x11132),f2(f101(x11131)))+E(f7(f101(x11131)),x11132) 5.41/5.27 [878]~P72(x8782)+~P44(x8782)+E(f7(a100),x8781)+E(f24(f24(f13(x8782),f7(x8782)),x8781),f7(x8782)) 5.41/5.27 [1002]~P63(x10022)+E(x10021,f2(x10022))+E(f8(x10022,f2(x10022)),x10021)+~E(f24(f24(f9(x10022),x10021),x10021),f2(x10022)) 5.41/5.27 [1061]~E(x10612,f2(a98))+~E(f2(a98),x10611)+~P6(a98,f7(a98),x10611)+E(f24(f24(f9(a98),x10611),x10612),f2(a98)) 5.41/5.27 [1091]~P55(x10911)+P6(f101(x10911),f7(f101(x10911)),x10912)+E(f7(f101(x10911)),x10912)+E(f8(f101(x10911),f2(f101(x10911))),f11(f101(x10911),x10912)) 5.41/5.27 [996]P6(x9963,x9961,x9962)+~P55(x9963)+E(x9961,x9962)+P6(x9963,x9962,x9961) 5.41/5.27 [997]P6(x9973,x9971,x9972)+~P34(x9973)+E(x9971,x9972)+P6(x9973,x9972,x9971) 5.41/5.27 [998]P6(x9981,x9982,x9983)+~E(x9983,x9982)+~P34(x9981)+P5(x9981,x9982,x9983) 5.41/5.27 [1065]~P15(x10653)+~P5(x10653,x10652,x10651)+E(x10651,x10652)+P6(x10653,x10652,x10651) 5.41/5.27 [1071]~P34(x10713)+~P5(x10713,x10711,x10712)+E(x10711,x10712)+P6(x10713,x10711,x10712) 5.41/5.27 [1072]~P15(x10723)+~P5(x10723,x10721,x10722)+E(x10721,x10722)+P6(x10723,x10721,x10722) 5.41/5.27 [1145]~P5(x11453,x11452,x11451)+~P5(x11453,x11451,x11452)+E(x11451,x11452)+~P15(x11453) 5.41/5.27 [1149]~P5(x11493,x11492,x11491)+~P6(x11493,x11492,x11491)+~E(x11491,x11492)+~P34(x11493) 5.41/5.27 [1197]P6(x11971,x11973,x11972)+~P43(x11971)+~P5(x11971,x11973,x11972)+P5(x11971,x11972,x11973) 5.41/5.27 [801]~P49(x8013)+~P37(x8013)+E(x8011,x8012)+~E(f17(x8013,x8011),f17(x8013,x8012)) 5.41/5.27 [1404]~P30(x14041)+~P5(x14041,x14042,x14043)+~P5(x14041,f8(x14041,x14042),x14043)+P5(x14041,f3(x14041,x14042),x14043) 5.41/5.27 [1405]~P55(x14051)+~P6(x14051,x14052,x14053)+~P6(x14051,f8(x14051,x14052),x14053)+P6(x14051,f3(x14051,x14052),x14053) 5.41/5.27 [1482]E(x14821,x14822)+~P5(a100,x14823,x14822)+~P5(a100,x14823,x14821)+~E(f5(a100,x14821,x14823),f5(a100,x14822,x14823)) 5.41/5.27 [1558]~P29(x15581)+~P6(x15581,f7(x15581),x15583)+~P6(x15581,f7(x15581),x15582)+P6(x15581,f7(x15581),f10(x15581,x15582,x15583)) 5.41/5.27 [1559]~P29(x15591)+~P5(x15591,x15593,f7(x15591))+~P5(x15591,x15592,f7(x15591))+P5(x15591,f10(x15591,x15592,x15593),f7(x15591)) 5.41/5.27 [1560]~P29(x15601)+~P5(x15601,x15603,f7(x15601))+~P6(x15601,x15602,f7(x15601))+P6(x15601,f10(x15601,x15602,x15603),f7(x15601)) 5.41/5.27 [1561]~P29(x15611)+~P5(x15611,x15612,f7(x15611))+~P6(x15611,x15613,f7(x15611))+P6(x15611,f10(x15611,x15612,x15613),f7(x15611)) 5.41/5.27 [1562]~P29(x15621)+~P6(x15621,x15623,f7(x15621))+~P6(x15621,x15622,f7(x15621))+P6(x15621,f10(x15621,x15622,x15623),f7(x15621)) 5.41/5.27 [1764]~P5(a98,x17642,x17643)+P5(a98,f4(a98,x17641,x17642),f4(a98,x17641,x17643))+~P6(a98,x17641,f7(a98))+~P6(a98,f7(a98),x17642) 5.41/5.27 [1765]~P5(a98,x17653,x17652)+P5(a98,f4(a98,x17651,x17652),f4(a98,x17651,x17653))+~P5(a98,f7(a98),x17651)+~P6(a98,f7(a98),x17653) 5.41/5.27 [1854]~P5(a100,x18543,x18541)+P5(a100,x18541,x18542)+~P5(a100,x18543,x18542)+~P5(a100,f5(a100,x18541,x18543),f5(a100,x18542,x18543)) 5.41/5.27 [1855]~P5(a100,x18553,x18551)+P6(a100,x18551,x18552)+~P5(a100,x18553,x18552)+~P6(a100,f5(a100,x18551,x18553),f5(a100,x18552,x18553)) 5.41/5.27 [1119]~P49(x11191)+~E(f18(x11191,x11193,x11192),f7(a100))+~E(f24(f17(x11191,x11192),x11193),f7(x11191))+E(f7(f101(x11191)),x11192) 5.41/5.27 [1159]~P55(x11591)+~P7(x11591,x11593)+~P7(x11591,x11592)+P7(x11591,f10(f101(x11591),x11592,x11593)) 5.41/5.27 [1278]~P55(x12783)+E(x12781,x12782)+~P5(f101(x12783),x12781,x12782)+P7(x12783,f5(f101(x12783),x12782,x12781)) 5.41/5.27 [1343]~P5(a100,x13433,f70(x13432,x13431))+~P77(f24(x13431,x13432))+~P77(f24(x13431,x13433))+P77(f24(x13431,f7(a100))) 5.41/5.27 [1614]P6(a98,f7(a98),x16141)+P6(a98,x16141,f7(a98))+P77(f24(x16142,f4(a98,x16143,x16141)))+~P77(f24(x16142,f7(a98))) 5.41/5.27 [1698]P6(a98,f63(x16981,x16982,x16983),x16981)+E(f7(a98),x16981)+P6(a98,x16981,f7(a98))+P77(f24(x16983,f4(a98,x16982,x16981))) 5.41/5.27 [1699]P6(a98,x16991,f64(x16991,x16992,x16993))+E(f7(a98),x16991)+P6(a98,f7(a98),x16991)+P77(f24(x16993,f4(a98,x16992,x16991))) 5.41/5.27 [1701]E(f7(a98),x17011)+P6(a98,x17011,f7(a98))+P5(a98,f7(a98),f63(x17011,x17013,x17012))+P77(f24(x17012,f4(a98,x17013,x17011))) 5.41/5.27 [1702]E(f7(a98),x17021)+P6(a98,f7(a98),x17021)+P5(a98,f64(x17021,x17023,x17022),f7(a98))+P77(f24(x17022,f4(a98,x17023,x17021))) 5.41/5.27 [1754]P6(a98,f63(x17541,x17542,x17543),x17541)+P6(a98,x17541,f7(a98))+P77(f24(x17543,f4(a98,x17542,x17541)))+~P77(f24(x17543,f7(a98))) 5.41/5.27 [1755]P6(a98,x17551,f64(x17551,x17552,x17553))+P6(a98,f7(a98),x17551)+P77(f24(x17553,f4(a98,x17552,x17551)))+~P77(f24(x17553,f7(a98))) 5.41/5.27 [1759]P5(a98,f7(a98),f63(x17591,x17593,x17592))+P6(a98,x17591,f7(a98))+P77(f24(x17592,f4(a98,x17593,x17591)))+~P77(f24(x17592,f7(a98))) 5.41/5.27 [1760]P5(a98,f64(x17601,x17603,x17602),f7(a98))+P6(a98,f7(a98),x17601)+P77(f24(x17602,f4(a98,x17603,x17601)))+~P77(f24(x17602,f7(a98))) 5.41/5.27 [1795]P6(a100,f78(x17952,x17951,x17953),x17953)+~P5(a98,x17952,f24(x17951,x17953))+E(f24(x17951,f92(x17952,x17951,x17953)),x17952)+~P5(a98,f24(x17951,f7(a100)),x17952) 5.41/5.27 [1796]P6(a100,f60(x17962,x17961,x17963),x17963)+~P5(a98,x17962,f24(x17961,x17963))+E(f24(x17961,f59(x17962,x17961,x17963)),x17962)+~P5(a98,f24(x17961,f7(a100)),x17962) 5.41/5.27 [1804]P6(a98,f63(x18041,x18042,x18043),x18041)+P6(a98,x18041,f64(x18041,x18042,x18043))+E(f7(a98),x18041)+P77(f24(x18043,f4(a98,x18042,x18041))) 5.41/5.27 [1811]P6(a98,x18111,f64(x18111,x18112,x18113))+E(f7(a98),x18111)+P5(a98,f7(a98),f63(x18111,x18112,x18113))+P77(f24(x18113,f4(a98,x18112,x18111))) 5.41/5.27 [1812]P6(a98,f63(x18121,x18122,x18123),x18121)+E(f7(a98),x18121)+P5(a98,f64(x18121,x18122,x18123),f7(a98))+P77(f24(x18123,f4(a98,x18122,x18121))) 5.41/5.27 [1826]E(f7(a98),x18261)+P5(a98,f7(a98),f63(x18261,x18263,x18262))+P5(a98,f64(x18261,x18263,x18262),f7(a98))+P77(f24(x18262,f4(a98,x18263,x18261))) 5.41/5.27 [1831]P6(a100,f78(x18311,x18312,x18313),x18313)+~P5(a98,x18311,f24(x18312,x18313))+P5(a100,f92(x18311,x18312,x18313),x18313)+~P5(a98,f24(x18312,f7(a100)),x18311) 5.41/5.27 [1832]P6(a100,f60(x18321,x18322,x18323),x18323)+~P5(a98,x18321,f24(x18322,x18323))+P5(a100,f59(x18321,x18322,x18323),x18323)+~P5(a98,f24(x18322,f7(a100)),x18321) 5.41/5.27 [1838]P6(a98,f63(x18381,x18382,x18383),x18381)+P6(a98,x18381,f64(x18381,x18382,x18383))+P77(f24(x18383,f4(a98,x18382,x18381)))+~P77(f24(x18383,f7(a98))) 5.41/5.27 [1839]P6(a98,x18391,f64(x18391,x18392,x18393))+P5(a98,f7(a98),f63(x18391,x18392,x18393))+P77(f24(x18393,f4(a98,x18392,x18391)))+~P77(f24(x18393,f7(a98))) 5.41/5.27 [1840]P6(a98,f63(x18401,x18402,x18403),x18401)+P5(a98,f64(x18401,x18402,x18403),f7(a98))+P77(f24(x18403,f4(a98,x18402,x18401)))+~P77(f24(x18403,f7(a98))) 5.41/5.27 [1842]P5(a98,f7(a98),f63(x18423,x18422,x18421))+P5(a98,f64(x18423,x18422,x18421),f7(a98))+P77(f24(x18421,f4(a98,x18422,x18423)))+~P77(f24(x18421,f7(a98))) 5.41/5.27 [1872]E(f7(a98),x18721)+P6(a98,x18721,f7(a98))+~P77(f24(x18722,f66(x18721,x18723,x18722)))+P77(f24(x18722,f4(a98,x18723,x18721))) 5.41/5.27 [1873]E(f7(a98),x18731)+P6(a98,f7(a98),x18731)+~P77(f24(x18732,f65(x18731,x18733,x18732)))+P77(f24(x18732,f4(a98,x18733,x18731))) 5.41/5.27 [1884]P6(a98,x18841,f7(a98))+~P77(f24(x18842,f66(x18841,x18843,x18842)))+P77(f24(x18842,f4(a98,x18843,x18841)))+~P77(f24(x18842,f7(a98))) 5.41/5.27 [1885]P6(a98,f7(a98),x18851)+~P77(f24(x18852,f65(x18851,x18853,x18852)))+P77(f24(x18852,f4(a98,x18853,x18851)))+~P77(f24(x18852,f7(a98))) 5.41/5.27 [1889]E(f7(a98),x18891)+P6(a98,x18891,f7(a98))+E(f10(a98,f24(f24(f9(a98),x18891),f66(x18891,x18892,x18893)),f63(x18891,x18892,x18893)),x18892)+P77(f24(x18893,f4(a98,x18892,x18891))) 5.41/5.27 [1890]E(f7(a98),x18901)+P6(a98,f7(a98),x18901)+E(f10(a98,f24(f24(f9(a98),x18901),f65(x18901,x18902,x18903)),f64(x18901,x18902,x18903)),x18902)+P77(f24(x18903,f4(a98,x18902,x18901))) 5.41/5.27 [1895]P6(a98,x18951,f64(x18951,x18952,x18953))+E(f7(a98),x18951)+~P77(f24(x18953,f66(x18951,x18952,x18953)))+P77(f24(x18953,f4(a98,x18952,x18951))) 5.41/5.27 [1896]P6(a98,f63(x18961,x18962,x18963),x18961)+E(f7(a98),x18961)+~P77(f24(x18963,f65(x18961,x18962,x18963)))+P77(f24(x18963,f4(a98,x18962,x18961))) 5.41/5.27 [1897]E(f7(a98),x18971)+P5(a98,f7(a98),f63(x18971,x18973,x18972))+~P77(f24(x18972,f65(x18971,x18973,x18972)))+P77(f24(x18972,f4(a98,x18973,x18971))) 5.41/5.27 [1898]E(f7(a98),x18981)+P5(a98,f64(x18981,x18983,x18982),f7(a98))+~P77(f24(x18982,f66(x18981,x18983,x18982)))+P77(f24(x18982,f4(a98,x18983,x18981))) 5.41/5.27 [1902]P6(a98,x19021,f7(a98))+E(f10(a98,f24(f24(f9(a98),x19021),f66(x19021,x19022,x19023)),f63(x19021,x19022,x19023)),x19022)+P77(f24(x19023,f4(a98,x19022,x19021)))+~P77(f24(x19023,f7(a98))) 5.41/5.27 [1903]P6(a98,f7(a98),x19031)+E(f10(a98,f24(f24(f9(a98),x19031),f65(x19031,x19032,x19033)),f64(x19031,x19032,x19033)),x19032)+P77(f24(x19033,f4(a98,x19032,x19031)))+~P77(f24(x19033,f7(a98))) 5.41/5.27 [1912]P6(a98,x19121,f64(x19121,x19122,x19123))+~P77(f24(x19123,f66(x19121,x19122,x19123)))+P77(f24(x19123,f4(a98,x19122,x19121)))+~P77(f24(x19123,f7(a98))) 5.41/5.27 [1913]P6(a98,f63(x19131,x19132,x19133),x19131)+~P77(f24(x19133,f65(x19131,x19132,x19133)))+P77(f24(x19133,f4(a98,x19132,x19131)))+~P77(f24(x19133,f7(a98))) 5.41/5.27 [1914]P5(a98,f7(a98),f63(x19143,x19142,x19141))+~P77(f24(x19141,f65(x19143,x19142,x19141)))+P77(f24(x19141,f4(a98,x19142,x19143)))+~P77(f24(x19141,f7(a98))) 5.41/5.27 [1915]P5(a98,f64(x19153,x19152,x19151),f7(a98))+~P77(f24(x19151,f66(x19153,x19152,x19151)))+P77(f24(x19151,f4(a98,x19152,x19153)))+~P77(f24(x19151,f7(a98))) 5.41/5.27 [1917]P6(a98,x19171,f64(x19171,x19172,x19173))+E(f7(a98),x19171)+E(f10(a98,f24(f24(f9(a98),x19171),f66(x19171,x19172,x19173)),f63(x19171,x19172,x19173)),x19172)+P77(f24(x19173,f4(a98,x19172,x19171))) 5.41/5.27 [1918]P6(a98,f63(x19181,x19182,x19183),x19181)+E(f7(a98),x19181)+E(f10(a98,f24(f24(f9(a98),x19181),f65(x19181,x19182,x19183)),f64(x19181,x19182,x19183)),x19182)+P77(f24(x19183,f4(a98,x19182,x19181))) 5.41/5.27 [1919]E(f7(a98),x19191)+P5(a98,f7(a98),f63(x19191,x19192,x19193))+E(f10(a98,f24(f24(f9(a98),x19191),f65(x19191,x19192,x19193)),f64(x19191,x19192,x19193)),x19192)+P77(f24(x19193,f4(a98,x19192,x19191))) 5.41/5.27 [1920]E(f7(a98),x19201)+P5(a98,f64(x19201,x19202,x19203),f7(a98))+E(f10(a98,f24(f24(f9(a98),x19201),f66(x19201,x19202,x19203)),f63(x19201,x19202,x19203)),x19202)+P77(f24(x19203,f4(a98,x19202,x19201))) 5.41/5.27 [1926]P6(a98,x19261,f64(x19261,x19262,x19263))+E(f10(a98,f24(f24(f9(a98),x19261),f66(x19261,x19262,x19263)),f63(x19261,x19262,x19263)),x19262)+P77(f24(x19263,f4(a98,x19262,x19261)))+~P77(f24(x19263,f7(a98))) 5.41/5.27 [1927]P6(a98,f63(x19271,x19272,x19273),x19271)+E(f10(a98,f24(f24(f9(a98),x19271),f65(x19271,x19272,x19273)),f64(x19271,x19272,x19273)),x19272)+P77(f24(x19273,f4(a98,x19272,x19271)))+~P77(f24(x19273,f7(a98))) 5.41/5.27 [1928]P5(a98,f7(a98),f63(x19281,x19282,x19283))+E(f10(a98,f24(f24(f9(a98),x19281),f65(x19281,x19282,x19283)),f64(x19281,x19282,x19283)),x19282)+P77(f24(x19283,f4(a98,x19282,x19281)))+~P77(f24(x19283,f7(a98))) 5.41/5.27 [1929]P5(a98,f64(x19291,x19292,x19293),f7(a98))+E(f10(a98,f24(f24(f9(a98),x19291),f66(x19291,x19292,x19293)),f63(x19291,x19292,x19293)),x19292)+P77(f24(x19293,f4(a98,x19292,x19291)))+~P77(f24(x19293,f7(a98))) 5.41/5.27 [1935]E(f7(a98),x19351)+~P77(f24(x19352,f65(x19351,x19353,x19352)))+~P77(f24(x19352,f66(x19351,x19353,x19352)))+P77(f24(x19352,f4(a98,x19353,x19351))) 5.41/5.27 [1940]~P77(f24(x19401,f65(x19403,x19402,x19401)))+~P77(f24(x19401,f66(x19403,x19402,x19401)))+P77(f24(x19401,f4(a98,x19402,x19403)))+~P77(f24(x19401,f7(a98))) 5.41/5.27 [1945]E(f7(a98),x19451)+E(f10(a98,f24(f24(f9(a98),x19451),f65(x19451,x19452,x19453)),f64(x19451,x19452,x19453)),x19452)+~P77(f24(x19453,f66(x19451,x19452,x19453)))+P77(f24(x19453,f4(a98,x19452,x19451))) 5.41/5.27 [1946]E(f7(a98),x19461)+E(f10(a98,f24(f24(f9(a98),x19461),f66(x19461,x19462,x19463)),f63(x19461,x19462,x19463)),x19462)+~P77(f24(x19463,f65(x19461,x19462,x19463)))+P77(f24(x19463,f4(a98,x19462,x19461))) 5.41/5.27 [1950]E(f10(a98,f24(f24(f9(a98),x19501),f65(x19501,x19502,x19503)),f64(x19501,x19502,x19503)),x19502)+~P77(f24(x19503,f66(x19501,x19502,x19503)))+P77(f24(x19503,f4(a98,x19502,x19501)))+~P77(f24(x19503,f7(a98))) 5.41/5.27 [1951]E(f10(a98,f24(f24(f9(a98),x19511),f66(x19511,x19512,x19513)),f63(x19511,x19512,x19513)),x19512)+~P77(f24(x19513,f65(x19511,x19512,x19513)))+P77(f24(x19513,f4(a98,x19512,x19511)))+~P77(f24(x19513,f7(a98))) 5.41/5.27 [1954]E(f7(a98),x19541)+E(f10(a98,f24(f24(f9(a98),x19541),f66(x19541,x19542,x19543)),f63(x19541,x19542,x19543)),x19542)+E(f10(a98,f24(f24(f9(a98),x19541),f65(x19541,x19542,x19543)),f64(x19541,x19542,x19543)),x19542)+P77(f24(x19543,f4(a98,x19542,x19541))) 5.41/5.27 [1958]E(f10(a98,f24(f24(f9(a98),x19581),f66(x19581,x19582,x19583)),f63(x19581,x19582,x19583)),x19582)+E(f10(a98,f24(f24(f9(a98),x19581),f65(x19581,x19582,x19583)),f64(x19581,x19582,x19583)),x19582)+P77(f24(x19583,f4(a98,x19582,x19581)))+~P77(f24(x19583,f7(a98))) 5.41/5.27 [950]~P65(x9502)+E(x9501,f7(x9502))+E(f7(x9502),x9503)+~E(f24(f24(f9(x9502),x9501),x9503),f7(x9502)) 5.41/5.27 [951]~P65(x9511)+E(f7(x9511),x9512)+E(f7(x9511),x9513)+~E(f24(f24(f9(x9511),x9513),x9512),f7(x9511)) 5.41/5.27 [952]~P73(x9521)+E(f7(x9521),x9522)+E(f7(x9521),x9523)+~E(f24(f24(f9(x9521),x9523),x9522),f7(x9521)) 5.41/5.27 [1162]~P49(x11623)+E(x11621,x11622)+E(x11621,f8(x11623,x11622))+~E(f24(f24(f9(x11623),x11621),x11621),f24(f24(f9(x11623),x11622),x11622)) 5.41/5.27 [1522]~P54(x15221)+~P6(x15221,f2(x15221),x15222)+~P6(a100,f7(a100),x15223)+P6(x15221,f2(x15221),f24(f24(f13(x15221),x15222),x15223)) 5.41/5.27 [1535]~P58(x15351)+~P5(x15351,x15352,f7(x15351))+~P5(x15351,x15353,f7(x15351))+P5(x15351,f7(x15351),f24(f24(f9(x15351),x15352),x15353)) 5.41/5.27 [1537]~P67(x15371)+~P5(x15371,x15373,f7(x15371))+~P5(x15371,x15372,f7(x15371))+P5(x15371,f7(x15371),f24(f24(f9(x15371),x15372),x15373)) 5.41/5.27 [1538]~P58(x15381)+~P6(x15381,x15383,f7(x15381))+~P6(x15381,x15382,f7(x15381))+P6(x15381,f7(x15381),f24(f24(f9(x15381),x15382),x15383)) 5.41/5.27 [1539]~P58(x15391)+~P5(x15391,f7(x15391),x15392)+~P5(x15391,f7(x15391),x15393)+P5(x15391,f7(x15391),f24(f24(f9(x15391),x15392),x15393)) 5.41/5.27 [1540]~P67(x15401)+~P5(x15401,f7(x15401),x15403)+~P5(x15401,f7(x15401),x15402)+P5(x15401,f7(x15401),f24(f24(f9(x15401),x15402),x15403)) 5.41/5.27 [1541]~P68(x15411)+~P5(x15411,f7(x15411),x15413)+~P5(x15411,f7(x15411),x15412)+P5(x15411,f7(x15411),f24(f24(f9(x15411),x15412),x15413)) 5.41/5.27 [1542]~P59(x15421)+~P6(x15421,f7(x15421),x15423)+~P6(x15421,f7(x15421),x15422)+P6(x15421,f7(x15421),f24(f24(f9(x15421),x15422),x15423)) 5.41/5.27 [1543]~P54(x15431)+~P6(x15431,f2(x15431),x15433)+~P6(x15431,f2(x15431),x15432)+P6(x15431,f2(x15431),f24(f24(f9(x15431),x15432),x15433)) 5.41/5.27 [1544]~P58(x15441)+~P5(x15441,x15443,f7(x15441))+~P5(x15441,f7(x15441),x15442)+P5(x15441,f24(f24(f9(x15441),x15442),x15443),f7(x15441)) 5.41/5.27 [1546]~P58(x15461)+~P5(x15461,x15462,f7(x15461))+~P5(x15461,f7(x15461),x15463)+P5(x15461,f24(f24(f9(x15461),x15462),x15463),f7(x15461)) 5.41/5.27 [1548]~P68(x15481)+~P5(x15481,x15483,f7(x15481))+~P5(x15481,f7(x15481),x15482)+P5(x15481,f24(f24(f9(x15481),x15482),x15483),f7(x15481)) 5.41/5.27 [1550]~P68(x15501)+~P5(x15501,x15502,f7(x15501))+~P5(x15501,f7(x15501),x15503)+P5(x15501,f24(f24(f9(x15501),x15502),x15503),f7(x15501)) 5.41/5.27 [1552]~P59(x15521)+~P6(x15521,x15523,f7(x15521))+~P6(x15521,f7(x15521),x15522)+P6(x15521,f24(f24(f9(x15521),x15522),x15523),f7(x15521)) 5.41/5.27 [1553]~P59(x15531)+~P6(x15531,x15532,f7(x15531))+~P6(x15531,f7(x15531),x15533)+P6(x15531,f24(f24(f9(x15531),x15532),x15533),f7(x15531)) 5.41/5.27 [1571]~P58(x15711)+P5(x15711,x15712,f7(x15711))+P5(x15711,x15713,f7(x15711))+~P5(x15711,f24(f24(f9(x15711),x15713),x15712),f7(x15711)) 5.41/5.27 [1572]~P58(x15721)+P5(x15721,x15722,f7(x15721))+P5(x15721,f7(x15721),x15723)+~P5(x15721,f7(x15721),f24(f24(f9(x15721),x15722),x15723)) 5.41/5.27 [1573]~P58(x15731)+P5(x15731,x15732,f7(x15731))+P5(x15731,f7(x15731),x15733)+~P5(x15731,f7(x15731),f24(f24(f9(x15731),x15733),x15732)) 5.41/5.27 [1574]~P58(x15741)+P5(x15741,f7(x15741),x15742)+P5(x15741,x15742,f7(x15741))+~P5(x15741,f7(x15741),f24(f24(f9(x15741),x15743),x15742)) 5.41/5.27 [1575]~P58(x15751)+P5(x15751,f7(x15751),x15752)+P5(x15751,x15752,f7(x15751))+~P5(x15751,f7(x15751),f24(f24(f9(x15751),x15752),x15753)) 5.41/5.27 [1576]~P58(x15761)+P5(x15761,f7(x15761),x15762)+P5(x15761,x15762,f7(x15761))+~P5(x15761,f24(f24(f9(x15761),x15763),x15762),f7(x15761)) 5.41/5.27 [1577]~P58(x15771)+P5(x15771,f7(x15771),x15772)+P5(x15771,x15772,f7(x15771))+~P5(x15771,f24(f24(f9(x15771),x15772),x15773),f7(x15771)) 5.41/5.27 [1578]~P58(x15781)+P5(x15781,f7(x15781),x15782)+P5(x15781,f7(x15781),x15783)+~P5(x15781,f24(f24(f9(x15781),x15782),x15783),f7(x15781)) 5.41/5.27 [1627]~P59(x16271)+P6(x16271,f7(x16271),x16272)+~P6(x16271,f7(x16271),x16273)+~P6(x16271,f7(x16271),f24(f24(f9(x16271),x16273),x16272)) 5.41/5.27 [1628]~P59(x16281)+P6(x16281,f7(x16281),x16282)+~P6(x16281,f7(x16281),x16283)+~P6(x16281,f7(x16281),f24(f24(f9(x16281),x16282),x16283)) 5.41/5.27 [1827]~P54(x18271)+~P5(x18271,x18272,f2(x18271))+~P5(x18271,f7(x18271),x18272)+P5(x18271,f24(f24(f13(x18271),x18272),f10(a100,x18273,f2(a100))),x18272) 5.41/5.27 [1833]~P54(x18331)+~P6(x18331,x18332,f2(x18331))+~P6(x18331,f7(x18331),x18332)+P6(x18331,f24(f24(f13(x18331),x18332),f10(a100,x18333,f2(a100))),f2(x18331)) 5.41/5.27 [1933]~P45(x19331)+P8(x19331,x19332)+~P6(a97,f7(a97),x19333)+~P5(a97,f22(x19331,f24(x19332,f73(x19332,x19331,x19333))),x19333) 5.41/5.27 [1934]~P45(x19341)+P8(x19341,x19342)+~P6(a97,f7(a97),x19343)+~P5(a97,f22(x19341,f24(x19342,f86(x19342,x19343,x19341))),x19343) 5.41/5.27 [1964]~P49(x19643)+E(x19641,x19642)+E(f8(x19643,x19642),x19641)+~E(f24(f24(f13(x19643),x19641),f10(a100,f10(a100,f7(a100),f2(a100)),f2(a100))),f24(f24(f13(x19643),x19642),f10(a100,f10(a100,f7(a100),f2(a100)),f2(a100)))) 5.41/5.27 [1229]~P55(x12291)+~P7(x12291,x12293)+~P7(x12291,x12292)+P7(x12291,f24(f24(f9(f101(x12291)),x12292),x12293)) 5.41/5.27 [1384]~P58(x13841)+~E(f7(x13841),x13843)+~E(f7(x13841),x13842)+E(f10(x13841,f24(f24(f9(x13841),x13842),x13842),f24(f24(f9(x13841),x13843),x13843)),f7(x13841)) 5.41/5.27 [1653]~P66(x16531)+~P5(x16531,x16532,f7(x16531))+~P5(x16531,x16533,f7(x16531))+E(f24(f24(f9(x16531),f3(x16531,x16532)),f3(x16531,x16533)),f3(x16531,f24(f24(f9(x16531),x16532),x16533))) 5.41/5.27 [1654]~P66(x16541)+~P5(x16541,x16542,f7(x16541))+~P5(x16541,f7(x16541),x16543)+E(f24(f24(f9(x16541),f3(x16541,x16542)),f3(x16541,x16543)),f3(x16541,f24(f24(f9(x16541),x16542),x16543))) 5.41/5.27 [1655]~P66(x16551)+~P5(x16551,x16553,f7(x16551))+~P5(x16551,f7(x16551),x16552)+E(f24(f24(f9(x16551),f3(x16551,x16552)),f3(x16551,x16553)),f3(x16551,f24(f24(f9(x16551),x16552),x16553))) 5.41/5.27 [1656]~P66(x16561)+~P5(x16561,f7(x16561),x16562)+~P5(x16561,f7(x16561),x16563)+E(f24(f24(f9(x16561),f3(x16561,x16562)),f3(x16561,x16563)),f3(x16561,f24(f24(f9(x16561),x16562),x16563))) 5.41/5.27 [1694]~P6(a98,x16942,x16943)+~P6(a98,f7(a98),x16943)+P5(a98,f2(a98),x16941)+~E(f10(a98,x16942,f24(f24(f9(a98),x16943),x16941)),x16943) 5.41/5.27 [1700]~P5(a98,f7(a98),x17002)+~P6(a98,f7(a98),x17003)+P5(a98,x17001,f2(a98))+~E(f10(a98,x17002,f24(f24(f9(a98),x17003),x17001)),x17003) 5.41/5.27 [1837]~P58(x18371)+~E(x18372,f7(x18371))+~E(x18373,f7(x18371))+P5(x18371,f10(x18371,f24(f24(f9(x18371),x18372),x18372),f24(f24(f9(x18371),x18373),x18373)),f7(x18371)) 5.41/5.27 [1863]~P54(x18631)+~P6(x18631,x18632,f2(x18631))+~P6(x18631,f7(x18631),x18632)+P6(x18631,f24(f24(f9(x18631),x18632),f24(f24(f13(x18631),x18632),x18633)),f24(f24(f13(x18631),x18632),x18633)) 5.41/5.27 [1891]~P6(a98,x18912,x18913)+~P6(a98,f7(a98),x18913)+P5(a98,f7(a98),x18911)+~P5(a98,f7(a98),f10(a98,f24(f24(f9(a98),x18913),x18911),x18912)) 5.41/5.27 [1893]P5(a98,x18931,f7(a98))+~P5(a98,f7(a98),x18932)+~P6(a98,f7(a98),x18933)+~P6(a98,f10(a98,f24(f24(f9(a98),x18933),x18931),x18932),f7(a98)) 5.41/5.27 [1931]~P58(x19312)+~E(x19311,f7(x19312))+~E(x19313,f7(x19312))+~P6(x19312,f7(x19312),f10(x19312,f24(f24(f9(x19312),x19313),x19313),f24(f24(f9(x19312),x19311),x19311))) 5.41/5.27 [2012]~P5(a98,x20122,f24(x20121,x20123))+E(f24(x20121,f92(x20122,x20121,x20123)),x20122)+~P5(a98,f24(x20121,f7(a100)),x20122)+~P5(a98,f3(a98,f5(a98,f24(x20121,f10(a100,f78(x20122,x20121,x20123),f2(a100))),f24(x20121,f78(x20122,x20121,x20123)))),f2(a98)) 5.41/5.27 [2013]~P5(a98,x20132,f24(x20131,x20133))+E(f24(x20131,f59(x20132,x20131,x20133)),x20132)+~P5(a98,f24(x20131,f7(a100)),x20132)+~P5(a98,f3(a98,f5(a98,f24(x20131,f10(a100,f60(x20132,x20131,x20133),f2(a100))),f24(x20131,f60(x20132,x20131,x20133)))),f2(a98)) 5.41/5.27 [2014]~P5(a98,x20141,f24(x20142,x20143))+P5(a100,f92(x20141,x20142,x20143),x20143)+~P5(a98,f24(x20142,f7(a100)),x20141)+~P5(a98,f3(a98,f5(a98,f24(x20142,f10(a100,f78(x20141,x20142,x20143),f2(a100))),f24(x20142,f78(x20141,x20142,x20143)))),f2(a98)) 5.41/5.27 [2015]~P5(a98,x20151,f24(x20152,x20153))+P5(a100,f59(x20151,x20152,x20153),x20153)+~P5(a98,f24(x20152,f7(a100)),x20151)+~P5(a98,f3(a98,f5(a98,f24(x20152,f10(a100,f60(x20151,x20152,x20153),f2(a100))),f24(x20152,f60(x20151,x20152,x20153)))),f2(a98)) 5.41/5.27 [1264]~P15(x12641)+~P5(x12641,x12644,x12643)+P5(x12641,x12642,x12643)+~P5(x12641,x12642,x12644) 5.41/5.27 [1265]~P43(x12651)+~P5(x12651,x12652,x12654)+P5(x12651,x12652,x12653)+~P5(x12651,x12654,x12653) 5.41/5.27 [1266]~P15(x12661)+~P6(x12661,x12664,x12663)+P6(x12661,x12662,x12663)+~P5(x12661,x12662,x12664) 5.41/5.27 [1267]~P15(x12671)+~P6(x12671,x12672,x12674)+P6(x12671,x12672,x12673)+~P5(x12671,x12674,x12673) 5.41/5.27 [1268]~P15(x12681)+~P6(x12681,x12684,x12683)+P6(x12681,x12682,x12683)+~P6(x12681,x12682,x12684) 5.41/5.27 [1269]~P43(x12691)+~P6(x12691,x12692,x12694)+P6(x12691,x12692,x12693)+~P5(x12691,x12694,x12693) 5.41/5.27 [1270]~P43(x12701)+~P6(x12701,x12704,x12703)+P6(x12701,x12702,x12703)+~P5(x12701,x12702,x12704) 5.41/5.27 [1271]~P43(x12711)+~P6(x12711,x12712,x12714)+P6(x12711,x12712,x12713)+~P6(x12711,x12714,x12713) 5.41/5.27 [1231]~P15(x12311)+~P9(x12311,x12312)+~P5(a100,x12314,x12313)+P5(x12311,f24(x12312,x12313),f24(x12312,x12314)) 5.41/5.27 [1232]~P15(x12321)+~P10(x12321,x12322)+~P5(a100,x12323,x12324)+P5(x12321,f24(x12322,x12323),f24(x12322,x12324)) 5.41/5.27 [1391]~P41(x13912)+P6(f103(x13911,x13912),x13914,x13913)+~P5(f103(x13911,x13912),x13914,x13913)+P5(f103(x13911,x13912),x13913,x13914) 5.41/5.27 [1513]~P29(x15131)+~P5(x15131,x15132,x15133)+~P5(x15131,f7(x15131),x15134)+P5(x15131,x15132,f10(x15131,x15133,x15134)) 5.41/5.27 [1514]~P29(x15141)+~P5(x15141,x15142,x15144)+~P5(x15141,f7(x15141),x15143)+P5(x15141,x15142,f10(x15141,x15143,x15144)) 5.41/5.27 [1515]~P54(x15151)+~P6(x15151,x15152,x15154)+~P6(x15151,f7(x15151),x15153)+P6(x15151,x15152,f10(x15151,x15153,x15154)) 5.41/5.27 [1516]~P29(x15161)+~P5(x15161,x15162,x15164)+~P6(x15161,f7(x15161),x15163)+P6(x15161,x15162,f10(x15161,x15163,x15164)) 5.41/5.27 [1517]~P29(x15171)+~P6(x15171,x15172,x15174)+~P5(x15171,f7(x15171),x15173)+P6(x15171,x15172,f10(x15171,x15173,x15174)) 5.41/5.27 [1685]~P45(x16851)+E(f7(x16851),x16852)+~P5(a97,x16853,f7(a97))+~P5(a97,f22(x16851,x16852),f24(f24(f9(a97),x16853),f22(x16851,x16854))) 5.41/5.27 [1901]~P55(x19011)+~P6(x19011,x19012,f10(x19011,x19013,x19014))+~P6(x19011,f5(x19011,x19013,x19014),x19012)+P6(x19011,f3(x19011,f5(x19011,x19012,x19013)),x19014) 5.41/5.27 [1907]~P6(a97,x19074,x19072)+P5(a97,x19071,x19072)+~P6(a97,x19073,x19074)+~P6(a97,f3(a97,f5(a97,x19074,x19071)),f33(x19072,x19074,x19073)) 5.41/5.27 [1908]~P6(a97,x19081,x19083)+P5(a97,x19081,x19082)+~P6(a97,x19083,x19084)+~P6(a97,f3(a97,f5(a97,x19083,x19082)),f33(x19084,x19083,x19081)) 5.41/5.27 [1909]~P6(a97,x19094,x19092)+P6(a97,x19091,x19092)+~P6(a97,x19093,x19094)+~P6(a97,f3(a97,f5(a97,x19094,x19091)),f96(x19092,x19094,x19093)) 5.41/5.27 [1910]~P6(a97,x19101,x19103)+P6(a97,x19101,x19102)+~P6(a97,x19103,x19104)+~P6(a97,f3(a97,f5(a97,x19103,x19102)),f96(x19104,x19103,x19101)) 5.41/5.27 [1361]~P54(x13613)+E(x13611,x13612)+~P6(x13613,f2(x13613),x13614)+~E(f24(f24(f13(x13613),x13614),x13611),f24(f24(f13(x13613),x13614),x13612)) 5.41/5.27 [1657]~P54(x16571)+~P5(a100,x16573,x16574)+~P6(x16571,f2(x16571),x16572)+P5(x16571,f24(f24(f13(x16571),x16572),x16573),f24(f24(f13(x16571),x16572),x16574)) 5.41/5.27 [1658]~P54(x16581)+~P5(a100,x16583,x16584)+~P5(x16581,f2(x16581),x16582)+P5(x16581,f24(f24(f13(x16581),x16582),x16583),f24(f24(f13(x16581),x16582),x16584)) 5.41/5.27 [1660]~P54(x16601)+~P6(a100,x16603,x16604)+~P6(x16601,f2(x16601),x16602)+P6(x16601,f24(f24(f13(x16601),x16602),x16603),f24(f24(f13(x16601),x16602),x16604)) 5.41/5.27 [1666]~P67(x16661)+~P5(x16661,x16664,x16663)+~P5(x16661,x16662,f7(x16661))+P5(x16661,f24(f24(f9(x16661),x16662),x16663),f24(f24(f9(x16661),x16662),x16664)) 5.41/5.27 [1667]~P58(x16671)+~P5(x16671,x16674,x16673)+~P6(x16671,x16672,f7(x16671))+P5(x16671,f24(f24(f9(x16671),x16672),x16673),f24(f24(f9(x16671),x16672),x16674)) 5.41/5.27 [1668]~P67(x16681)+~P5(x16681,x16684,x16682)+~P5(x16681,x16683,f7(x16681))+P5(x16681,f24(f24(f9(x16681),x16682),x16683),f24(f24(f9(x16681),x16684),x16683)) 5.41/5.27 [1672]~P58(x16721)+~P6(x16721,x16724,x16722)+~P6(x16721,x16723,f7(x16721))+P6(x16721,f24(f24(f9(x16721),x16722),x16723),f24(f24(f9(x16721),x16724),x16723)) 5.41/5.27 [1673]~P58(x16731)+~P6(x16731,x16734,x16733)+~P6(x16731,x16732,f7(x16731))+P6(x16731,f24(f24(f9(x16731),x16732),x16733),f24(f24(f9(x16731),x16732),x16734)) 5.41/5.27 [1674]~P70(x16741)+~P5(x16741,x16743,x16744)+~P5(x16741,f7(x16741),x16742)+P5(x16741,f24(f24(f9(x16741),x16742),x16743),f24(f24(f9(x16741),x16742),x16744)) 5.41/5.27 [1675]~P58(x16751)+~P5(x16751,x16753,x16754)+~P6(x16751,f7(x16751),x16752)+P5(x16751,f24(f24(f9(x16751),x16752),x16753),f24(f24(f9(x16751),x16752),x16754)) 5.41/5.27 [1676]~P69(x16761)+~P5(x16761,x16763,x16764)+~P5(x16761,f7(x16761),x16762)+P5(x16761,f24(f24(f9(x16761),x16762),x16763),f24(f24(f9(x16761),x16762),x16764)) 5.41/5.27 [1677]~P70(x16771)+~P5(x16771,x16772,x16774)+~P5(x16771,f7(x16771),x16773)+P5(x16771,f24(f24(f9(x16771),x16772),x16773),f24(f24(f9(x16771),x16774),x16773)) 5.41/5.27 [1678]~P54(x16781)+~P5(x16781,x16782,x16784)+~P5(x16781,f7(x16781),x16782)+P5(x16781,f24(f24(f13(x16781),x16782),x16783),f24(f24(f13(x16781),x16784),x16783)) 5.41/5.27 [1679]~P59(x16791)+~P6(x16791,x16793,x16794)+~P6(x16791,f7(x16791),x16792)+P6(x16791,f24(f24(f9(x16791),x16792),x16793),f24(f24(f9(x16791),x16792),x16794)) 5.41/5.27 [1680]~P56(x16801)+~P6(x16801,x16803,x16804)+~P6(x16801,f7(x16801),x16802)+P6(x16801,f24(f24(f9(x16801),x16802),x16803),f24(f24(f9(x16801),x16802),x16804)) 5.41/5.27 [1682]~P59(x16821)+~P6(x16821,x16822,x16824)+~P6(x16821,f7(x16821),x16823)+P6(x16821,f24(f24(f9(x16821),x16822),x16823),f24(f24(f9(x16821),x16824),x16823)) 5.41/5.27 [1683]~P58(x16831)+~P6(x16831,x16832,x16834)+~P6(x16831,f7(x16831),x16833)+P6(x16831,f24(f24(f9(x16831),x16832),x16833),f24(f24(f9(x16831),x16834),x16833)) 5.41/5.27 [1684]~P58(x16841)+~P6(x16841,x16843,x16844)+~P6(x16841,f7(x16841),x16842)+P6(x16841,f24(f24(f9(x16841),x16842),x16843),f24(f24(f9(x16841),x16842),x16844)) 5.41/5.27 [1766]P6(x17661,x17663,x17662)+~P58(x17661)+P6(x17661,x17662,x17663)+~P6(x17661,f24(f24(f9(x17661),x17664),x17662),f24(f24(f9(x17661),x17664),x17663)) 5.41/5.27 [1767]P6(x17671,x17673,x17672)+~P58(x17671)+P6(x17671,x17672,x17673)+~P6(x17671,f24(f24(f9(x17671),x17672),x17674),f24(f24(f9(x17671),x17673),x17674)) 5.41/5.27 [1771]~P58(x17711)+P6(x17711,x17712,x17713)+P6(x17711,x17714,f7(x17711))+~P6(x17711,f24(f24(f9(x17711),x17712),x17714),f24(f24(f9(x17711),x17713),x17714)) 5.41/5.27 [1772]~P58(x17721)+P6(x17721,x17722,x17723)+P6(x17721,x17724,f7(x17721))+~P6(x17721,f24(f24(f9(x17721),x17724),x17722),f24(f24(f9(x17721),x17724),x17723)) 5.41/5.27 [1773]~P58(x17731)+P6(x17731,x17732,x17733)+P6(x17731,f7(x17731),x17734)+~P6(x17731,f24(f24(f9(x17731),x17734),x17733),f24(f24(f9(x17731),x17734),x17732)) 5.41/5.27 [1774]~P58(x17741)+P6(x17741,x17742,x17743)+P6(x17741,f7(x17741),x17744)+~P6(x17741,f24(f24(f9(x17741),x17743),x17744),f24(f24(f9(x17741),x17742),x17744)) 5.41/5.27 [1790]~P58(x17901)+P6(x17901,f7(x17901),x17902)+P6(x17901,x17902,f7(x17901))+~P6(x17901,f24(f24(f9(x17901),x17903),x17902),f24(f24(f9(x17901),x17904),x17902)) 5.41/5.27 [1791]~P58(x17911)+P6(x17911,f7(x17911),x17912)+P6(x17911,x17912,f7(x17911))+~P6(x17911,f24(f24(f9(x17911),x17912),x17913),f24(f24(f9(x17911),x17912),x17914)) 5.41/5.27 [1808]~P54(x18083)+P5(a100,x18081,x18082)+~P6(x18083,f2(x18083),x18084)+~P5(x18083,f24(f24(f13(x18083),x18084),x18081),f24(f24(f13(x18083),x18084),x18082)) 5.41/5.27 [1810]~P54(x18103)+P6(a100,x18101,x18102)+~P6(x18103,f2(x18103),x18104)+~P6(x18103,f24(f24(f13(x18103),x18104),x18101),f24(f24(f13(x18103),x18104),x18102)) 5.41/5.27 [1813]~P58(x18131)+P5(x18131,x18132,x18133)+~P6(x18131,x18134,f7(x18131))+~P5(x18131,f24(f24(f9(x18131),x18134),x18133),f24(f24(f9(x18131),x18134),x18132)) 5.41/5.27 [1814]~P58(x18141)+P6(x18141,x18142,x18143)+~P6(x18141,x18144,f7(x18141))+~P6(x18141,f24(f24(f9(x18141),x18144),x18143),f24(f24(f9(x18141),x18144),x18142)) 5.41/5.27 [1815]~P59(x18151)+P5(x18151,x18152,x18153)+~P6(x18151,f7(x18151),x18154)+~P5(x18151,f24(f24(f9(x18151),x18154),x18152),f24(f24(f9(x18151),x18154),x18153)) 5.41/5.27 [1816]~P58(x18161)+P5(x18161,x18162,x18163)+~P6(x18161,f7(x18161),x18164)+~P5(x18161,f24(f24(f9(x18161),x18164),x18162),f24(f24(f9(x18161),x18164),x18163)) 5.41/5.27 [1817]~P59(x18171)+P5(x18171,x18172,x18173)+~P6(x18171,f7(x18171),x18174)+~P5(x18171,f24(f24(f9(x18171),x18172),x18174),f24(f24(f9(x18171),x18173),x18174)) 5.41/5.27 [1818]~P59(x18181)+P6(x18181,x18182,x18183)+~P5(x18181,f7(x18181),x18184)+~P6(x18181,f24(f24(f9(x18181),x18184),x18182),f24(f24(f9(x18181),x18184),x18183)) 5.41/5.27 [1819]~P58(x18191)+P6(x18191,x18192,x18193)+~P6(x18191,f7(x18191),x18194)+~P6(x18191,f24(f24(f9(x18191),x18194),x18192),f24(f24(f9(x18191),x18194),x18193)) 5.41/5.27 [1820]~P61(x18201)+P6(x18201,x18202,x18203)+~P5(x18201,f7(x18201),x18204)+~P6(x18201,f24(f24(f9(x18201),x18204),x18202),f24(f24(f9(x18201),x18204),x18203)) 5.41/5.27 [1821]~P54(x18211)+P6(x18211,x18212,x18213)+~P5(x18211,f7(x18211),x18213)+~P6(x18211,f24(f24(f13(x18211),x18212),x18214),f24(f24(f13(x18211),x18213),x18214)) 5.41/5.27 [1822]~P59(x18221)+P6(x18221,x18222,x18223)+~P5(x18221,f7(x18221),x18224)+~P6(x18221,f24(f24(f9(x18221),x18222),x18224),f24(f24(f9(x18221),x18223),x18224)) 5.41/5.27 [1823]~P61(x18231)+P6(x18231,x18232,x18233)+~P5(x18231,f7(x18231),x18234)+~P6(x18231,f24(f24(f9(x18231),x18232),x18234),f24(f24(f9(x18231),x18233),x18234)) 5.41/5.27 [1963]~P54(x19631)+P5(x19631,x19632,x19633)+~P5(x19631,f7(x19631),x19633)+~P5(x19631,f24(f24(f13(x19631),x19632),f10(a100,x19634,f2(a100))),f24(f24(f13(x19631),x19633),f10(a100,x19634,f2(a100)))) 5.41/5.27 [1978]~P45(x19781)+~P6(a97,f7(a97),x19784)+~P5(a97,f22(x19781,f24(x19782,f47(x19782,x19781,x19784))),x19784)+P5(a97,f22(x19781,f24(x19782,x19783)),f21(a100,f10(a100,f46(x19782,x19781),f2(a100)))) 5.41/5.27 [1979]~P45(x19791)+~P6(a97,f7(a97),x19794)+~P5(a97,f22(x19791,f24(x19792,f82(x19792,x19791,x19794))),x19794)+P6(a97,f22(x19791,f24(x19792,x19793)),f21(a100,f10(a100,f83(x19792,x19791),f2(a100)))) 5.41/5.27 [2016]~P45(x20161)+P8(x20161,x20162)+~P6(a97,f7(a97),x20163)+~P5(a97,f22(x20161,f10(x20161,f24(x20162,f48(x20162,x20161,x20163,x20164)),f8(x20161,x20164))),x20163) 5.41/5.27 [2017]~P45(x20171)+P8(x20171,x20172)+~P6(a97,f7(a97),x20173)+~P5(a97,f22(x20171,f10(x20171,f24(x20172,f30(x20172,x20171,x20173,x20174)),f8(x20171,f24(x20172,x20174)))),x20173) 5.41/5.27 [1157]~P11(x11575)+E(x11571,x11572)+~E(x11573,x11574)+~E(f5(x11575,x11574,x11573),f5(x11575,x11571,x11572)) 5.41/5.27 [1158]~P11(x11585)+E(x11581,x11582)+~E(x11583,x11584)+~E(f5(x11585,x11583,x11584),f5(x11585,x11582,x11581)) 5.41/5.27 [1437]~P16(x14371)+~P5(x14371,x14374,x14375)+P5(x14371,x14372,x14373)+~E(f5(x14371,x14374,x14375),f5(x14371,x14372,x14373)) 5.41/5.27 [1439]~P16(x14391)+~P6(x14391,x14394,x14395)+P6(x14391,x14392,x14393)+~E(f5(x14391,x14394,x14395),f5(x14391,x14392,x14393)) 5.41/5.27 [1661]~P31(x16611)+~P5(x16611,x16613,x16615)+~P5(x16611,x16612,x16614)+P5(x16611,f10(x16611,x16612,x16613),f10(x16611,x16614,x16615)) 5.41/5.27 [1662]~P33(x16621)+~P5(x16621,x16623,x16625)+~P6(x16621,x16622,x16624)+P6(x16621,f10(x16621,x16622,x16623),f10(x16621,x16624,x16625)) 5.41/5.27 [1663]~P33(x16631)+~P5(x16631,x16632,x16634)+~P6(x16631,x16633,x16635)+P6(x16631,f10(x16631,x16632,x16633),f10(x16631,x16634,x16635)) 5.41/5.27 [1664]~P33(x16641)+~P6(x16641,x16643,x16645)+~P6(x16641,x16642,x16644)+P6(x16641,f10(x16641,x16642,x16643),f10(x16641,x16644,x16645)) 5.41/5.27 [1861]~P45(x18611)+~P6(a97,f22(x18611,x18613),x18615)+~P6(a97,f22(x18611,x18612),x18614)+P6(a97,f22(x18611,f10(x18611,x18612,x18613)),f10(a97,x18614,x18615)) 5.41/5.27 [1868]~P55(x18681)+~P6(x18681,f3(x18681,x18682),x18684)+~P6(x18681,f3(x18681,x18683),x18685)+P6(x18681,f24(f24(f9(x18681),f3(x18681,x18682)),f3(x18681,x18683)),f24(f24(f9(x18681),x18684),x18685)) 5.41/5.27 [1847]~P42(x18471)+~P6(a97,f22(x18471,x18473),x18475)+~P6(a97,f22(x18471,x18472),x18474)+P6(a97,f22(x18471,f24(f24(f9(x18471),x18472),x18473)),f24(f24(f9(a97),x18474),x18475)) 5.41/5.27 [1905]~P75(x19055)+E(x19051,x19052)+E(x19053,x19054)+~E(f10(x19055,f24(f24(f9(x19055),x19053),x19051),f24(f24(f9(x19055),x19054),x19052)),f10(x19055,f24(f24(f9(x19055),x19053),x19052),f24(f24(f9(x19055),x19054),x19051))) 5.41/5.27 [1906]~P75(x19065)+E(x19061,x19062)+E(x19063,x19064)+~E(f10(x19065,f24(f24(f9(x19065),x19064),x19061),f24(f24(f9(x19065),x19063),x19062)),f10(x19065,f24(f24(f9(x19065),x19064),x19062),f24(f24(f9(x19065),x19063),x19061))) 5.41/5.27 [1392]~P29(x13922)+~P5(x13922,f7(x13922),x13923)+~P5(x13922,f7(x13922),x13921)+~E(f10(x13922,x13923,x13921),f7(x13922))+E(x13921,f7(x13922)) 5.41/5.27 [1393]~P29(x13931)+~P5(x13931,f7(x13931),x13933)+~P5(x13931,f7(x13931),x13932)+~E(f10(x13931,x13932,x13933),f7(x13931))+E(f7(x13931),x13932) 5.41/5.27 [1523]E(x15231,f95(x15232,x15233))+~P6(a97,f7(a97),x15232)+~P6(a97,f7(a97),x15231)+~P6(a100,f7(a100),x15233)+~E(x15232,f24(f24(f13(a97),x15231),x15233)) 5.41/5.27 [1686]~P55(x16861)+~P5(x16861,x16862,f2(x16861))+~P5(x16861,f7(x16861),x16862)+~P5(x16861,f7(x16861),x16863)+P5(x16861,f24(f24(f9(x16861),x16862),x16863),x16863) 5.41/5.27 [1687]~P55(x16871)+~P5(x16871,x16873,f2(x16871))+~P5(x16871,f7(x16871),x16873)+~P5(x16871,f7(x16871),x16872)+P5(x16871,f24(f24(f9(x16871),x16872),x16873),x16872) 5.41/5.27 [1792]~P54(x17921)+~P6(x17921,x17922,x17924)+~P5(x17921,f7(x17921),x17922)+~P6(a100,f7(a100),x17923)+P6(x17921,f24(f24(f13(x17921),x17922),x17923),f24(f24(f13(x17921),x17924),x17923)) 5.41/5.27 [1797]~P54(x17971)+~P5(a100,x17974,x17973)+~P5(x17971,x17972,f2(x17971))+~P5(x17971,f7(x17971),x17972)+P5(x17971,f24(f24(f13(x17971),x17972),x17973),f24(f24(f13(x17971),x17972),x17974)) 5.41/5.27 [1798]~P54(x17981)+~P6(a100,x17984,x17983)+~P6(x17981,x17982,f2(x17981))+~P6(x17981,f7(x17981),x17982)+P6(x17981,f24(f24(f13(x17981),x17982),x17983),f24(f24(f13(x17981),x17982),x17984)) 5.41/5.27 [1878]~P54(x18783)+E(x18781,x18782)+~P5(x18783,f7(x18783),x18782)+~P5(x18783,f7(x18783),x18781)+~E(f24(f24(f13(x18783),x18781),f10(a100,x18784,f2(a100))),f24(f24(f13(x18783),x18782),f10(a100,x18784,f2(a100)))) 5.41/5.27 [1941]~P5(a98,f7(a98),x19412)+~P6(a98,f7(a98),x19413)+~P77(f24(x19411,x19414))+P77(f24(x19411,f40(x19412,x19411,x19413)))+P77(f24(x19411,f5(a98,x19414,f24(f24(f9(a98),x19412),x19413)))) 5.41/5.27 [1942]~P5(a98,f7(a98),x19422)+~P6(a98,f7(a98),x19423)+~P77(f24(x19421,x19424))+P77(f24(x19421,f89(x19422,x19421,x19423)))+P77(f24(x19421,f10(a98,x19424,f24(f24(f9(a98),x19422),x19423)))) 5.41/5.27 [1984]~P5(a98,f7(a98),x19843)+~P6(a98,f7(a98),x19844)+~P77(f24(x19841,x19842))+~P77(f24(x19841,f10(a98,f89(x19843,x19841,x19844),x19844)))+P77(f24(x19841,f10(a98,x19842,f24(f24(f9(a98),x19843),x19844)))) 5.41/5.27 [1985]~P5(a98,f7(a98),x19853)+~P6(a98,f7(a98),x19854)+~P77(f24(x19851,x19852))+~P77(f24(x19851,f5(a98,f40(x19853,x19851,x19854),x19854)))+P77(f24(x19851,f5(a98,x19852,f24(f24(f9(a98),x19853),x19854)))) 5.41/5.27 [1938]~P45(x19384)+~P41(x19381)+~P5(x19381,x19382,x19385)+P5(x19381,x19382,f93(x19383,x19382,x19381,x19384))+P6(a97,f22(x19384,f24(x19383,x19385)),f10(a97,f2(a97),f22(x19384,f24(x19383,x19382)))) 5.41/5.27 [1879]~P6(a100,x18794,x18791)+E(f7(a100),x18791)+P77(f24(x18792,x18793))+~P77(f24(x18792,f4(a100,x18795,x18791)))+~E(f10(a100,f24(f24(f9(a100),x18791),x18793),x18794),x18795) 5.41/5.27 [1967]P5(a98,x19671,x19672)+~P6(a98,x19673,x19674)+~P6(a98,x19673,x19675)+~P5(a98,x19674,f7(a98))+~P5(a98,f10(a98,f24(f24(f9(a98),x19673),x19672),x19675),f10(a98,f24(f24(f9(a98),x19673),x19671),x19674)) 5.41/5.27 [1968]P5(a98,x19681,x19682)+~P6(a98,x19683,x19684)+~P6(a98,x19685,x19684)+~P5(a98,f7(a98),x19685)+~P5(a98,f10(a98,f24(f24(f9(a98),x19684),x19681),x19685),f10(a98,f24(f24(f9(a98),x19684),x19682),x19683)) 5.41/5.27 [2018]~P45(x20181)+~P5(x20185,x20184,x20183)+~P41(x20185)+P6(a97,f22(x20181,f24(x20182,x20183)),f10(a97,f2(a97),f22(x20181,f24(x20182,x20184))))+~P6(a97,f22(x20181,f5(x20181,f24(x20182,x20184),f24(x20182,f93(x20182,x20184,x20185,x20181)))),f2(a97)) 5.41/5.27 [1749]~P75(x17493)+E(x17491,x17492)+~E(x17495,x17496)+E(f7(x17493),x17494)+~E(f10(x17493,x17495,f24(f24(f9(x17493),x17494),x17491)),f10(x17493,x17496,f24(f24(f9(x17493),x17494),x17492))) 5.41/5.27 [1369]~P29(x13691)+~P5(x13691,f7(x13691),x13692)+~P5(x13691,f7(x13691),x13693)+~E(x13693,f7(x13691))+~E(f7(x13691),x13692)+E(f10(x13691,x13692,x13693),f7(x13691)) 5.41/5.27 [1003]~P48(x10031)+~P44(x10031)+~P65(x10031)+~P76(x10031)+E(f7(x10031),x10032)+~E(f24(f24(f13(x10031),x10032),x10033),f7(x10031)) 5.41/5.27 [1004]~P48(x10042)+~P44(x10042)+~P65(x10042)+~P76(x10042)+~E(x10041,f7(a100))+~E(f24(f24(f13(x10042),x10043),x10041),f7(x10042)) 5.41/5.27 [1693]~P54(x16933)+E(x16931,x16932)+~P5(x16933,f7(x16933),x16932)+~P5(x16933,f7(x16933),x16931)+~P6(a100,f7(a100),x16934)+~E(f24(f24(f13(x16933),x16931),x16934),f24(f24(f13(x16933),x16932),x16934)) 5.41/5.27 [1758]~P6(a98,x17581,x17584)+E(f4(a98,x17582,x17581),x17583)+E(f7(a98),x17581)+P6(a98,f7(a98),x17581)+~P5(a98,x17584,f7(a98))+~E(f10(a98,f24(f24(f9(a98),x17581),x17583),x17584),x17582) 5.41/5.27 [1802]~P6(a98,x18024,x18021)+E(f4(a98,x18022,x18021),x18023)+E(f7(a98),x18021)+~P5(a98,f7(a98),x18024)+~P6(a98,f7(a98),x18021)+~E(f10(a98,f24(f24(f9(a98),x18021),x18023),x18024),x18022) 5.41/5.27 [1848]~P70(x18481)+~P5(x18481,x18483,x18485)+~P5(x18481,x18482,x18484)+~P5(x18481,f7(x18481),x18483)+~P5(x18481,f7(x18481),x18484)+P5(x18481,f24(f24(f9(x18481),x18482),x18483),f24(f24(f9(x18481),x18484),x18485)) 5.41/5.27 [1849]~P70(x18491)+~P5(x18491,x18493,x18495)+~P5(x18491,x18492,x18494)+~P5(x18491,f7(x18491),x18493)+~P5(x18491,f7(x18491),x18492)+P5(x18491,f24(f24(f9(x18491),x18492),x18493),f24(f24(f9(x18491),x18494),x18495)) 5.41/5.27 [1850]~P59(x18501)+~P5(x18501,x18503,x18505)+~P6(x18501,x18502,x18504)+~P5(x18501,f7(x18501),x18502)+~P6(x18501,f7(x18501),x18503)+P6(x18501,f24(f24(f9(x18501),x18502),x18503),f24(f24(f9(x18501),x18504),x18505)) 5.41/5.27 [1851]~P59(x18511)+~P5(x18511,x18512,x18514)+~P6(x18511,x18513,x18515)+~P5(x18511,f7(x18511),x18513)+~P6(x18511,f7(x18511),x18512)+P6(x18511,f24(f24(f9(x18511),x18512),x18513),f24(f24(f9(x18511),x18514),x18515)) 5.41/5.27 [1852]~P59(x18521)+~P6(x18521,x18523,x18525)+~P6(x18521,x18522,x18524)+~P5(x18521,f7(x18521),x18523)+~P5(x18521,f7(x18521),x18522)+P6(x18521,f24(f24(f9(x18521),x18522),x18523),f24(f24(f9(x18521),x18524),x18525)) 5.41/5.27 [1853]~P59(x18531)+~P6(x18531,x18533,x18535)+~P6(x18531,x18532,x18534)+~P5(x18531,f7(x18531),x18533)+~P6(x18531,f7(x18531),x18534)+P6(x18531,f24(f24(f9(x18531),x18532),x18533),f24(f24(f9(x18531),x18534),x18535)) 5.41/5.27 [1921]~P6(a98,x19213,x19214)+~P5(a98,x19214,f7(a98))+~P6(a98,x19213,f7(a98))+P77(f24(x19211,x19212))+~P77(f24(x19211,f4(a98,x19215,x19213)))+~E(f10(a98,f24(f24(f9(a98),x19213),x19212),x19214),x19215) 5.41/5.27 [1922]~P6(a98,x19224,x19223)+~P5(a98,f7(a98),x19224)+~P6(a98,f7(a98),x19223)+P77(f24(x19221,x19222))+~P77(f24(x19221,f4(a98,x19225,x19223)))+~E(f10(a98,f24(f24(f9(a98),x19223),x19222),x19224),x19225) 5.41/5.27 [930]~P48(x9302)+~P44(x9302)+~P65(x9302)+~P76(x9302)+~E(f7(x9302),x9303)+E(x9301,f7(a100))+E(f24(f24(f13(x9302),x9303),x9301),f7(x9302)) 5.41/5.27 [1846]~P6(a98,x18464,x18461)+~P6(a98,x18461,x18464)+E(f4(a98,x18462,x18461),x18463)+E(f7(a98),x18461)+~P5(a98,x18464,f7(a98))+~P5(a98,f7(a98),x18464)+~E(f10(a98,f24(f24(f9(a98),x18461),x18463),x18464),x18462) 5.41/5.27 [1936]~P60(x19361)+~P5(x19361,x19365,x19366)+~P5(x19361,x19363,x19366)+~P5(x19361,f7(x19361),x19364)+~P5(x19361,f7(x19361),x19362)+~E(f10(x19361,x19362,x19364),f2(x19361))+P5(x19361,f10(x19361,f24(f24(f9(x19361),x19362),x19363),f24(f24(f9(x19361),x19364),x19365)),x19366) 5.41/5.27 [1937]~P62(x19371)+~P6(x19371,x19375,x19376)+~P6(x19371,x19373,x19376)+~P5(x19371,f7(x19371),x19374)+~P5(x19371,f7(x19371),x19372)+~E(f10(x19371,x19372,x19374),f2(x19371))+P6(x19371,f10(x19371,f24(f24(f9(x19371),x19372),x19373),f24(f24(f9(x19371),x19374),x19375)),x19376) 5.41/5.27 [1974]~P5(a98,x19745,x19743)+~P6(a98,x19746,x19745)+P5(a98,x19741,x19742)+~P5(a98,f7(a98),x19744)+~P6(a98,f7(a98),x19745)+~P5(a98,f7(a98),f10(a98,f24(f24(f9(a98),x19745),x19742),x19746))+~E(f10(a98,f24(f24(f9(a98),x19743),x19741),x19744),f10(a98,f24(f24(f9(a98),x19745),x19742),x19746)) 5.41/5.27 [1975]~P5(a98,x19753,x19755)+~P6(a98,x19756,x19755)+P5(a98,x19751,x19752)+~P5(a98,f7(a98),x19754)+~P6(a98,f7(a98),x19753)+~P6(a98,f10(a98,f24(f24(f9(a98),x19753),x19751),x19754),f7(a98))+~E(f10(a98,f24(f24(f9(a98),x19753),x19751),x19754),f10(a98,f24(f24(f9(a98),x19755),x19752),x19756)) 5.41/5.27 %EqnAxiom 5.41/5.27 [1]E(x11,x11) 5.41/5.27 [2]E(x22,x21)+~E(x21,x22) 5.41/5.27 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) 5.41/5.27 [4]~E(x41,x42)+E(f2(x41),f2(x42)) 5.41/5.27 [5]~E(x51,x52)+E(f6(x51),f6(x52)) 5.41/5.27 [6]~E(x61,x62)+E(f7(x61),f7(x62)) 5.41/5.27 [7]~E(x71,x72)+E(f10(x71,x73,x74),f10(x72,x73,x74)) 5.41/5.27 [8]~E(x81,x82)+E(f10(x83,x81,x84),f10(x83,x82,x84)) 5.41/5.27 [9]~E(x91,x92)+E(f10(x93,x94,x91),f10(x93,x94,x92)) 5.41/5.27 [10]~E(x101,x102)+E(f12(x101),f12(x102)) 5.41/5.27 [11]~E(x111,x112)+E(f24(x111,x113),f24(x112,x113)) 5.41/5.27 [12]~E(x121,x122)+E(f24(x123,x121),f24(x123,x122)) 5.41/5.27 [13]~E(x131,x132)+E(f22(x131,x133),f22(x132,x133)) 5.41/5.27 [14]~E(x141,x142)+E(f22(x143,x141),f22(x143,x142)) 5.41/5.27 [15]~E(x151,x152)+E(f20(x151),f20(x152)) 5.41/5.27 [16]~E(x161,x162)+E(f5(x161,x163,x164),f5(x162,x163,x164)) 5.41/5.27 [17]~E(x171,x172)+E(f5(x173,x171,x174),f5(x173,x172,x174)) 5.41/5.27 [18]~E(x181,x182)+E(f5(x183,x184,x181),f5(x183,x184,x182)) 5.41/5.27 [19]~E(x191,x192)+E(f21(x191,x193),f21(x192,x193)) 5.41/5.27 [20]~E(x201,x202)+E(f21(x203,x201),f21(x203,x202)) 5.41/5.27 [21]~E(x211,x212)+E(f66(x211,x213,x214),f66(x212,x213,x214)) 5.41/5.27 [22]~E(x221,x222)+E(f66(x223,x221,x224),f66(x223,x222,x224)) 5.41/5.27 [23]~E(x231,x232)+E(f66(x233,x234,x231),f66(x233,x234,x232)) 5.41/5.27 [24]~E(x241,x242)+E(f93(x241,x243,x244,x245),f93(x242,x243,x244,x245)) 5.41/5.27 [25]~E(x251,x252)+E(f93(x253,x251,x254,x255),f93(x253,x252,x254,x255)) 5.41/5.27 [26]~E(x261,x262)+E(f93(x263,x264,x261,x265),f93(x263,x264,x262,x265)) 5.41/5.27 [27]~E(x271,x272)+E(f93(x273,x274,x275,x271),f93(x273,x274,x275,x272)) 5.41/5.27 [28]~E(x281,x282)+E(f101(x281),f101(x282)) 5.41/5.27 [29]~E(x291,x292)+E(f51(x291,x293),f51(x292,x293)) 5.41/5.27 [30]~E(x301,x302)+E(f51(x303,x301),f51(x303,x302)) 5.41/5.27 [31]~E(x311,x312)+E(f91(x311,x313),f91(x312,x313)) 5.41/5.27 [32]~E(x321,x322)+E(f91(x323,x321),f91(x323,x322)) 5.41/5.27 [33]~E(x331,x332)+E(f80(x331,x333,x334),f80(x332,x333,x334)) 5.41/5.27 [34]~E(x341,x342)+E(f80(x343,x341,x344),f80(x343,x342,x344)) 5.41/5.27 [35]~E(x351,x352)+E(f80(x353,x354,x351),f80(x353,x354,x352)) 5.41/5.27 [36]~E(x361,x362)+E(f103(x361,x363),f103(x362,x363)) 5.41/5.27 [37]~E(x371,x372)+E(f103(x373,x371),f103(x373,x372)) 5.41/5.27 [38]~E(x381,x382)+E(f79(x381,x383),f79(x382,x383)) 5.41/5.27 [39]~E(x391,x392)+E(f79(x393,x391),f79(x393,x392)) 5.41/5.27 [40]~E(x401,x402)+E(f4(x401,x403,x404),f4(x402,x403,x404)) 5.41/5.27 [41]~E(x411,x412)+E(f4(x413,x411,x414),f4(x413,x412,x414)) 5.41/5.27 [42]~E(x421,x422)+E(f4(x423,x424,x421),f4(x423,x424,x422)) 5.41/5.27 [43]~E(x431,x432)+E(f8(x431,x433),f8(x432,x433)) 5.41/5.27 [44]~E(x441,x442)+E(f8(x443,x441),f8(x443,x442)) 5.41/5.27 [45]~E(x451,x452)+E(f9(x451),f9(x452)) 5.41/5.27 [46]~E(x461,x462)+E(f11(x461,x463),f11(x462,x463)) 5.41/5.27 [47]~E(x471,x472)+E(f11(x473,x471),f11(x473,x472)) 5.41/5.27 [48]~E(x481,x482)+E(f17(x481,x483),f17(x482,x483)) 5.41/5.27 [49]~E(x491,x492)+E(f17(x493,x491),f17(x493,x492)) 5.41/5.27 [50]~E(x501,x502)+E(f90(x501,x503,x504),f90(x502,x503,x504)) 5.41/5.27 [51]~E(x511,x512)+E(f90(x513,x511,x514),f90(x513,x512,x514)) 5.41/5.27 [52]~E(x521,x522)+E(f90(x523,x524,x521),f90(x523,x524,x522)) 5.41/5.27 [53]~E(x531,x532)+E(f3(x531,x533),f3(x532,x533)) 5.41/5.27 [54]~E(x541,x542)+E(f3(x543,x541),f3(x543,x542)) 5.41/5.27 [55]~E(x551,x552)+E(f68(x551,x553),f68(x552,x553)) 5.41/5.27 [56]~E(x561,x562)+E(f68(x563,x561),f68(x563,x562)) 5.41/5.27 [57]~E(x571,x572)+E(f33(x571,x573,x574),f33(x572,x573,x574)) 5.41/5.27 [58]~E(x581,x582)+E(f33(x583,x581,x584),f33(x583,x582,x584)) 5.41/5.27 [59]~E(x591,x592)+E(f33(x593,x594,x591),f33(x593,x594,x592)) 5.41/5.27 [60]~E(x601,x602)+E(f64(x601,x603,x604),f64(x602,x603,x604)) 5.41/5.27 [61]~E(x611,x612)+E(f64(x613,x611,x614),f64(x613,x612,x614)) 5.41/5.27 [62]~E(x621,x622)+E(f64(x623,x624,x621),f64(x623,x624,x622)) 5.41/5.27 [63]~E(x631,x632)+E(f78(x631,x633,x634),f78(x632,x633,x634)) 5.41/5.27 [64]~E(x641,x642)+E(f78(x643,x641,x644),f78(x643,x642,x644)) 5.41/5.27 [65]~E(x651,x652)+E(f78(x653,x654,x651),f78(x653,x654,x652)) 5.41/5.27 [66]~E(x661,x662)+E(f95(x661,x663),f95(x662,x663)) 5.41/5.27 [67]~E(x671,x672)+E(f95(x673,x671),f95(x673,x672)) 5.41/5.27 [68]~E(x681,x682)+E(f63(x681,x683,x684),f63(x682,x683,x684)) 5.41/5.27 [69]~E(x691,x692)+E(f63(x693,x691,x694),f63(x693,x692,x694)) 5.41/5.27 [70]~E(x701,x702)+E(f63(x703,x704,x701),f63(x703,x704,x702)) 5.41/5.27 [71]~E(x711,x712)+E(f56(x711),f56(x712)) 5.41/5.27 [72]~E(x721,x722)+E(f65(x721,x723,x724),f65(x722,x723,x724)) 5.41/5.27 [73]~E(x731,x732)+E(f65(x733,x731,x734),f65(x733,x732,x734)) 5.41/5.27 [74]~E(x741,x742)+E(f65(x743,x744,x741),f65(x743,x744,x742)) 5.41/5.27 [75]~E(x751,x752)+E(f13(x751),f13(x752)) 5.41/5.27 [76]~E(x761,x762)+E(f59(x761,x763,x764),f59(x762,x763,x764)) 5.41/5.27 [77]~E(x771,x772)+E(f59(x773,x771,x774),f59(x773,x772,x774)) 5.41/5.27 [78]~E(x781,x782)+E(f59(x783,x784,x781),f59(x783,x784,x782)) 5.41/5.27 [79]~E(x791,x792)+E(f92(x791,x793,x794),f92(x792,x793,x794)) 5.41/5.27 [80]~E(x801,x802)+E(f92(x803,x801,x804),f92(x803,x802,x804)) 5.41/5.27 [81]~E(x811,x812)+E(f92(x813,x814,x811),f92(x813,x814,x812)) 5.41/5.27 [82]~E(x821,x822)+E(f55(x821,x823,x824),f55(x822,x823,x824)) 5.41/5.27 [83]~E(x831,x832)+E(f55(x833,x831,x834),f55(x833,x832,x834)) 5.41/5.27 [84]~E(x841,x842)+E(f55(x843,x844,x841),f55(x843,x844,x842)) 5.41/5.27 [85]~E(x851,x852)+E(f16(x851,x853),f16(x852,x853)) 5.41/5.27 [86]~E(x861,x862)+E(f16(x863,x861),f16(x863,x862)) 5.41/5.27 [87]~E(x871,x872)+E(f57(x871,x873),f57(x872,x873)) 5.41/5.27 [88]~E(x881,x882)+E(f57(x883,x881),f57(x883,x882)) 5.41/5.27 [89]~E(x891,x892)+E(f15(x891,x893),f15(x892,x893)) 5.41/5.27 [90]~E(x901,x902)+E(f15(x903,x901),f15(x903,x902)) 5.41/5.27 [91]~E(x911,x912)+E(f35(x911,x913),f35(x912,x913)) 5.41/5.27 [92]~E(x921,x922)+E(f35(x923,x921),f35(x923,x922)) 5.41/5.27 [93]~E(x931,x932)+E(f96(x931,x933,x934),f96(x932,x933,x934)) 5.41/5.27 [94]~E(x941,x942)+E(f96(x943,x941,x944),f96(x943,x942,x944)) 5.41/5.27 [95]~E(x951,x952)+E(f96(x953,x954,x951),f96(x953,x954,x952)) 5.41/5.27 [96]~E(x961,x962)+E(f34(x961,x963),f34(x962,x963)) 5.41/5.27 [97]~E(x971,x972)+E(f34(x973,x971),f34(x973,x972)) 5.41/5.27 [98]~E(x981,x982)+E(f61(x981,x983),f61(x982,x983)) 5.41/5.27 [99]~E(x991,x992)+E(f61(x993,x991),f61(x993,x992)) 5.41/5.27 [100]~E(x1001,x1002)+E(f85(x1001),f85(x1002)) 5.41/5.27 [101]~E(x1011,x1012)+E(f70(x1011,x1013),f70(x1012,x1013)) 5.41/5.27 [102]~E(x1021,x1022)+E(f70(x1023,x1021),f70(x1023,x1022)) 5.41/5.27 [103]~E(x1031,x1032)+E(f49(x1031),f49(x1032)) 5.41/5.27 [104]~E(x1041,x1042)+E(f26(x1041,x1043),f26(x1042,x1043)) 5.41/5.27 [105]~E(x1051,x1052)+E(f26(x1053,x1051),f26(x1053,x1052)) 5.41/5.27 [106]~E(x1061,x1062)+E(f89(x1061,x1063,x1064),f89(x1062,x1063,x1064)) 5.41/5.27 [107]~E(x1071,x1072)+E(f89(x1073,x1071,x1074),f89(x1073,x1072,x1074)) 5.41/5.27 [108]~E(x1081,x1082)+E(f89(x1083,x1084,x1081),f89(x1083,x1084,x1082)) 5.41/5.27 [109]~E(x1091,x1092)+E(f62(x1091,x1093),f62(x1092,x1093)) 5.41/5.27 [110]~E(x1101,x1102)+E(f62(x1103,x1101),f62(x1103,x1102)) 5.41/5.27 [111]~E(x1111,x1112)+E(f73(x1111,x1113,x1114),f73(x1112,x1113,x1114)) 5.41/5.27 [112]~E(x1121,x1122)+E(f73(x1123,x1121,x1124),f73(x1123,x1122,x1124)) 5.41/5.27 [113]~E(x1131,x1132)+E(f73(x1133,x1134,x1131),f73(x1133,x1134,x1132)) 5.41/5.27 [114]~E(x1141,x1142)+E(f27(x1141,x1143),f27(x1142,x1143)) 5.41/5.27 [115]~E(x1151,x1152)+E(f27(x1153,x1151),f27(x1153,x1152)) 5.41/5.27 [116]~E(x1161,x1162)+E(f75(x1161,x1163,x1164,x1165),f75(x1162,x1163,x1164,x1165)) 5.41/5.27 [117]~E(x1171,x1172)+E(f75(x1173,x1171,x1174,x1175),f75(x1173,x1172,x1174,x1175)) 5.41/5.27 [118]~E(x1181,x1182)+E(f75(x1183,x1184,x1181,x1185),f75(x1183,x1184,x1182,x1185)) 5.41/5.27 [119]~E(x1191,x1192)+E(f75(x1193,x1194,x1195,x1191),f75(x1193,x1194,x1195,x1192)) 5.41/5.27 [120]~E(x1201,x1202)+E(f14(x1201,x1203,x1204),f14(x1202,x1203,x1204)) 5.41/5.27 [121]~E(x1211,x1212)+E(f14(x1213,x1211,x1214),f14(x1213,x1212,x1214)) 5.41/5.27 [122]~E(x1221,x1222)+E(f14(x1223,x1224,x1221),f14(x1223,x1224,x1222)) 5.41/5.27 [123]~E(x1231,x1232)+E(f42(x1231,x1233,x1234),f42(x1232,x1233,x1234)) 5.41/5.27 [124]~E(x1241,x1242)+E(f42(x1243,x1241,x1244),f42(x1243,x1242,x1244)) 5.41/5.27 [125]~E(x1251,x1252)+E(f42(x1253,x1254,x1251),f42(x1253,x1254,x1252)) 5.41/5.27 [126]~E(x1261,x1262)+E(f88(x1261,x1263,x1264),f88(x1262,x1263,x1264)) 5.41/5.27 [127]~E(x1271,x1272)+E(f88(x1273,x1271,x1274),f88(x1273,x1272,x1274)) 5.41/5.27 [128]~E(x1281,x1282)+E(f88(x1283,x1284,x1281),f88(x1283,x1284,x1282)) 5.41/5.27 [129]~E(x1291,x1292)+E(f31(x1291,x1293,x1294),f31(x1292,x1293,x1294)) 5.41/5.27 [130]~E(x1301,x1302)+E(f31(x1303,x1301,x1304),f31(x1303,x1302,x1304)) 5.41/5.27 [131]~E(x1311,x1312)+E(f31(x1313,x1314,x1311),f31(x1313,x1314,x1312)) 5.41/5.27 [132]~E(x1321,x1322)+E(f39(x1321,x1323),f39(x1322,x1323)) 5.41/5.27 [133]~E(x1331,x1332)+E(f39(x1333,x1331),f39(x1333,x1332)) 5.41/5.27 [134]~E(x1341,x1342)+E(f60(x1341,x1343,x1344),f60(x1342,x1343,x1344)) 5.41/5.27 [135]~E(x1351,x1352)+E(f60(x1353,x1351,x1354),f60(x1353,x1352,x1354)) 5.41/5.27 [136]~E(x1361,x1362)+E(f60(x1363,x1364,x1361),f60(x1363,x1364,x1362)) 5.41/5.27 [137]~E(x1371,x1372)+E(f71(x1371,x1373,x1374),f71(x1372,x1373,x1374)) 5.41/5.27 [138]~E(x1381,x1382)+E(f71(x1383,x1381,x1384),f71(x1383,x1382,x1384)) 5.41/5.27 [139]~E(x1391,x1392)+E(f71(x1393,x1394,x1391),f71(x1393,x1394,x1392)) 5.41/5.27 [140]~E(x1401,x1402)+E(f67(x1401,x1403),f67(x1402,x1403)) 5.41/5.27 [141]~E(x1411,x1412)+E(f67(x1413,x1411),f67(x1413,x1412)) 5.41/5.27 [142]~E(x1421,x1422)+E(f82(x1421,x1423,x1424),f82(x1422,x1423,x1424)) 5.41/5.27 [143]~E(x1431,x1432)+E(f82(x1433,x1431,x1434),f82(x1433,x1432,x1434)) 5.41/5.27 [144]~E(x1441,x1442)+E(f82(x1443,x1444,x1441),f82(x1443,x1444,x1442)) 5.41/5.27 [145]~E(x1451,x1452)+E(f48(x1451,x1453,x1454,x1455),f48(x1452,x1453,x1454,x1455)) 5.41/5.27 [146]~E(x1461,x1462)+E(f48(x1463,x1461,x1464,x1465),f48(x1463,x1462,x1464,x1465)) 5.41/5.27 [147]~E(x1471,x1472)+E(f48(x1473,x1474,x1471,x1475),f48(x1473,x1474,x1472,x1475)) 5.41/5.27 [148]~E(x1481,x1482)+E(f48(x1483,x1484,x1485,x1481),f48(x1483,x1484,x1485,x1482)) 5.41/5.27 [149]~E(x1491,x1492)+E(f40(x1491,x1493,x1494),f40(x1492,x1493,x1494)) 5.41/5.27 [150]~E(x1501,x1502)+E(f40(x1503,x1501,x1504),f40(x1503,x1502,x1504)) 5.41/5.27 [151]~E(x1511,x1512)+E(f40(x1513,x1514,x1511),f40(x1513,x1514,x1512)) 5.41/5.27 [152]~E(x1521,x1522)+E(f23(x1521,x1523),f23(x1522,x1523)) 5.41/5.27 [153]~E(x1531,x1532)+E(f23(x1533,x1531),f23(x1533,x1532)) 5.41/5.27 [154]~E(x1541,x1542)+E(f77(x1541,x1543),f77(x1542,x1543)) 5.41/5.27 [155]~E(x1551,x1552)+E(f77(x1553,x1551),f77(x1553,x1552)) 5.41/5.27 [156]~E(x1561,x1562)+E(f44(x1561,x1563),f44(x1562,x1563)) 5.41/5.27 [157]~E(x1571,x1572)+E(f44(x1573,x1571),f44(x1573,x1572)) 5.41/5.27 [158]~E(x1581,x1582)+E(f45(x1581,x1583,x1584),f45(x1582,x1583,x1584)) 5.41/5.27 [159]~E(x1591,x1592)+E(f45(x1593,x1591,x1594),f45(x1593,x1592,x1594)) 5.41/5.27 [160]~E(x1601,x1602)+E(f45(x1603,x1604,x1601),f45(x1603,x1604,x1602)) 5.41/5.27 [161]~E(x1611,x1612)+E(f29(x1611,x1613),f29(x1612,x1613)) 5.41/5.27 [162]~E(x1621,x1622)+E(f29(x1623,x1621),f29(x1623,x1622)) 5.41/5.27 [163]~E(x1631,x1632)+E(f72(x1631,x1633),f72(x1632,x1633)) 5.41/5.27 [164]~E(x1641,x1642)+E(f72(x1643,x1641),f72(x1643,x1642)) 5.41/5.27 [165]~E(x1651,x1652)+E(f87(x1651,x1653,x1654),f87(x1652,x1653,x1654)) 5.41/5.27 [166]~E(x1661,x1662)+E(f87(x1663,x1661,x1664),f87(x1663,x1662,x1664)) 5.41/5.27 [167]~E(x1671,x1672)+E(f87(x1673,x1674,x1671),f87(x1673,x1674,x1672)) 5.41/5.27 [168]~E(x1681,x1682)+E(f47(x1681,x1683,x1684),f47(x1682,x1683,x1684)) 5.41/5.27 [169]~E(x1691,x1692)+E(f47(x1693,x1691,x1694),f47(x1693,x1692,x1694)) 5.41/5.27 [170]~E(x1701,x1702)+E(f47(x1703,x1704,x1701),f47(x1703,x1704,x1702)) 5.41/5.27 [171]~E(x1711,x1712)+E(f18(x1711,x1713,x1714),f18(x1712,x1713,x1714)) 5.41/5.27 [172]~E(x1721,x1722)+E(f18(x1723,x1721,x1724),f18(x1723,x1722,x1724)) 5.41/5.27 [173]~E(x1731,x1732)+E(f18(x1733,x1734,x1731),f18(x1733,x1734,x1732)) 5.41/5.27 [174]~E(x1741,x1742)+E(f69(x1741,x1743),f69(x1742,x1743)) 5.41/5.27 [175]~E(x1751,x1752)+E(f69(x1753,x1751),f69(x1753,x1752)) 5.41/5.27 [176]~E(x1761,x1762)+E(f41(x1761,x1763),f41(x1762,x1763)) 5.41/5.27 [177]~E(x1771,x1772)+E(f41(x1773,x1771),f41(x1773,x1772)) 5.41/5.27 [178]~E(x1781,x1782)+E(f46(x1781,x1783),f46(x1782,x1783)) 5.41/5.27 [179]~E(x1791,x1792)+E(f46(x1793,x1791),f46(x1793,x1792)) 5.41/5.27 [180]~E(x1801,x1802)+E(f37(x1801,x1803),f37(x1802,x1803)) 5.41/5.27 [181]~E(x1811,x1812)+E(f37(x1813,x1811),f37(x1813,x1812)) 5.41/5.27 [182]~E(x1821,x1822)+E(f86(x1821,x1823,x1824),f86(x1822,x1823,x1824)) 5.41/5.27 [183]~E(x1831,x1832)+E(f86(x1833,x1831,x1834),f86(x1833,x1832,x1834)) 5.41/5.27 [184]~E(x1841,x1842)+E(f86(x1843,x1844,x1841),f86(x1843,x1844,x1842)) 5.41/5.27 [185]~E(x1851,x1852)+E(f38(x1851,x1853),f38(x1852,x1853)) 5.41/5.27 [186]~E(x1861,x1862)+E(f38(x1863,x1861),f38(x1863,x1862)) 5.41/5.27 [187]~E(x1871,x1872)+E(f36(x1871),f36(x1872)) 5.41/5.27 [188]~E(x1881,x1882)+E(f19(x1881,x1883,x1884,x1885,x1886),f19(x1882,x1883,x1884,x1885,x1886)) 5.41/5.27 [189]~E(x1891,x1892)+E(f19(x1893,x1891,x1894,x1895,x1896),f19(x1893,x1892,x1894,x1895,x1896)) 5.41/5.27 [190]~E(x1901,x1902)+E(f19(x1903,x1904,x1901,x1905,x1906),f19(x1903,x1904,x1902,x1905,x1906)) 5.41/5.27 [191]~E(x1911,x1912)+E(f19(x1913,x1914,x1915,x1911,x1916),f19(x1913,x1914,x1915,x1912,x1916)) 5.41/5.27 [192]~E(x1921,x1922)+E(f19(x1923,x1924,x1925,x1926,x1921),f19(x1923,x1924,x1925,x1926,x1922)) 5.41/5.27 [193]~E(x1931,x1932)+E(f84(x1931,x1933),f84(x1932,x1933)) 5.41/5.27 [194]~E(x1941,x1942)+E(f84(x1943,x1941),f84(x1943,x1942)) 5.41/5.27 [195]~E(x1951,x1952)+E(f76(x1951,x1953),f76(x1952,x1953)) 5.41/5.27 [196]~E(x1961,x1962)+E(f76(x1963,x1961),f76(x1963,x1962)) 5.41/5.27 [197]~E(x1971,x1972)+E(f81(x1971,x1973,x1974,x1975),f81(x1972,x1973,x1974,x1975)) 5.41/5.27 [198]~E(x1981,x1982)+E(f81(x1983,x1981,x1984,x1985),f81(x1983,x1982,x1984,x1985)) 5.41/5.27 [199]~E(x1991,x1992)+E(f81(x1993,x1994,x1991,x1995),f81(x1993,x1994,x1992,x1995)) 5.41/5.27 [200]~E(x2001,x2002)+E(f81(x2003,x2004,x2005,x2001),f81(x2003,x2004,x2005,x2002)) 5.41/5.27 [201]~E(x2011,x2012)+E(f43(x2011,x2013),f43(x2012,x2013)) 5.41/5.27 [202]~E(x2021,x2022)+E(f43(x2023,x2021),f43(x2023,x2022)) 5.41/5.27 [203]~E(x2031,x2032)+E(f54(x2031),f54(x2032)) 5.41/5.27 [204]~E(x2041,x2042)+E(f83(x2041,x2043),f83(x2042,x2043)) 5.41/5.27 [205]~E(x2051,x2052)+E(f83(x2053,x2051),f83(x2053,x2052)) 5.41/5.27 [206]~E(x2061,x2062)+E(f52(x2061,x2063),f52(x2062,x2063)) 5.41/5.27 [207]~E(x2071,x2072)+E(f52(x2073,x2071),f52(x2073,x2072)) 5.41/5.27 [208]~E(x2081,x2082)+E(f30(x2081,x2083,x2084,x2085),f30(x2082,x2083,x2084,x2085)) 5.41/5.27 [209]~E(x2091,x2092)+E(f30(x2093,x2091,x2094,x2095),f30(x2093,x2092,x2094,x2095)) 5.41/5.27 [210]~E(x2101,x2102)+E(f30(x2103,x2104,x2101,x2105),f30(x2103,x2104,x2102,x2105)) 5.41/5.27 [211]~E(x2111,x2112)+E(f30(x2113,x2114,x2115,x2111),f30(x2113,x2114,x2115,x2112)) 5.41/5.27 [212]~E(x2121,x2122)+E(f32(x2121,x2123),f32(x2122,x2123)) 5.41/5.27 [213]~E(x2131,x2132)+E(f32(x2133,x2131),f32(x2133,x2132)) 5.41/5.27 [214]~E(x2141,x2142)+E(f50(x2141),f50(x2142)) 5.41/5.27 [215]~E(x2151,x2152)+E(f28(x2151,x2153),f28(x2152,x2153)) 5.41/5.27 [216]~E(x2161,x2162)+E(f28(x2163,x2161),f28(x2163,x2162)) 5.41/5.27 [217]~E(x2171,x2172)+E(f53(x2171,x2173),f53(x2172,x2173)) 5.41/5.27 [218]~E(x2181,x2182)+E(f53(x2183,x2181),f53(x2183,x2182)) 5.41/5.27 [219]~E(x2191,x2192)+E(f58(x2191,x2193,x2194),f58(x2192,x2193,x2194)) 5.41/5.27 [220]~E(x2201,x2202)+E(f58(x2203,x2201,x2204),f58(x2203,x2202,x2204)) 5.41/5.27 [221]~E(x2211,x2212)+E(f58(x2213,x2214,x2211),f58(x2213,x2214,x2212)) 5.41/5.27 [222]~E(x2221,x2222)+E(f94(x2221,x2223,x2224),f94(x2222,x2223,x2224)) 5.41/5.27 [223]~E(x2231,x2232)+E(f94(x2233,x2231,x2234),f94(x2233,x2232,x2234)) 5.41/5.27 [224]~E(x2241,x2242)+E(f94(x2243,x2244,x2241),f94(x2243,x2244,x2242)) 5.41/5.27 [225]~P1(x2251)+P1(x2252)+~E(x2251,x2252) 5.41/5.27 [226]P6(x2262,x2263,x2264)+~E(x2261,x2262)+~P6(x2261,x2263,x2264) 5.41/5.27 [227]P6(x2273,x2272,x2274)+~E(x2271,x2272)+~P6(x2273,x2271,x2274) 5.41/5.27 [228]P6(x2283,x2284,x2282)+~E(x2281,x2282)+~P6(x2283,x2284,x2281) 5.41/5.27 [229]P5(x2292,x2293,x2294)+~E(x2291,x2292)+~P5(x2291,x2293,x2294) 5.41/5.27 [230]P5(x2303,x2302,x2304)+~E(x2301,x2302)+~P5(x2303,x2301,x2304) 5.41/5.27 [231]P5(x2313,x2314,x2312)+~E(x2311,x2312)+~P5(x2313,x2314,x2311) 5.41/5.27 [232]~P48(x2321)+P48(x2322)+~E(x2321,x2322) 5.41/5.27 [233]~P77(x2331)+P77(x2332)+~E(x2331,x2332) 5.41/5.27 [234]~P43(x2341)+P43(x2342)+~E(x2341,x2342) 5.41/5.27 [235]~P15(x2351)+P15(x2352)+~E(x2351,x2352) 5.41/5.27 [236]~P49(x2361)+P49(x2362)+~E(x2361,x2362) 5.41/5.27 [237]~P16(x2371)+P16(x2372)+~E(x2371,x2372) 5.41/5.27 [238]~P55(x2381)+P55(x2382)+~E(x2381,x2382) 5.41/5.27 [239]~P2(x2391)+P2(x2392)+~E(x2391,x2392) 5.41/5.27 [240]~P53(x2401)+P53(x2402)+~E(x2401,x2402) 5.41/5.27 [241]~P3(x2411)+P3(x2412)+~E(x2411,x2412) 5.41/5.27 [242]~P30(x2421)+P30(x2422)+~E(x2421,x2422) 5.41/5.27 [243]~P29(x2431)+P29(x2432)+~E(x2431,x2432) 5.41/5.27 [244]~P24(x2441)+P24(x2442)+~E(x2441,x2442) 5.41/5.27 [245]~P54(x2451)+P54(x2452)+~E(x2451,x2452) 5.41/5.27 [246]~P64(x2461)+P64(x2462)+~E(x2461,x2462) 5.41/5.27 [247]~P32(x2471)+P32(x2472)+~E(x2471,x2472) 5.41/5.27 [248]~P33(x2481)+P33(x2482)+~E(x2481,x2482) 5.41/5.27 [249]~P45(x2491)+P45(x2492)+~E(x2491,x2492) 5.41/5.27 [250]P7(x2502,x2503)+~E(x2501,x2502)+~P7(x2501,x2503) 5.41/5.27 [251]P7(x2513,x2512)+~E(x2511,x2512)+~P7(x2513,x2511) 5.41/5.27 [252]~P59(x2521)+P59(x2522)+~E(x2521,x2522) 5.41/5.27 [253]~P50(x2531)+P50(x2532)+~E(x2531,x2532) 5.41/5.27 [254]~P63(x2541)+P63(x2542)+~E(x2541,x2542) 5.41/5.27 [255]~P58(x2551)+P58(x2552)+~E(x2551,x2552) 5.41/5.27 [256]~P34(x2561)+P34(x2562)+~E(x2561,x2562) 5.41/5.27 [257]~P17(x2571)+P17(x2572)+~E(x2571,x2572) 5.41/5.27 [258]~P4(x2581)+P4(x2582)+~E(x2581,x2582) 5.41/5.27 [259]~P76(x2591)+P76(x2592)+~E(x2591,x2592) 5.41/5.27 [260]~P42(x2601)+P42(x2602)+~E(x2601,x2602) 5.41/5.27 [261]P8(x2612,x2613)+~E(x2611,x2612)+~P8(x2611,x2613) 5.41/5.27 [262]P8(x2623,x2622)+~E(x2621,x2622)+~P8(x2623,x2621) 5.41/5.27 [263]~P14(x2631)+P14(x2632)+~E(x2631,x2632) 5.41/5.27 [264]~P51(x2641)+P51(x2642)+~E(x2641,x2642) 5.41/5.27 [265]~P11(x2651)+P11(x2652)+~E(x2651,x2652) 5.41/5.27 [266]~P44(x2661)+P44(x2662)+~E(x2661,x2662) 5.41/5.27 [267]~P67(x2671)+P67(x2672)+~E(x2671,x2672) 5.41/5.27 [268]~P38(x2681)+P38(x2682)+~E(x2681,x2682) 5.41/5.27 [269]~P75(x2691)+P75(x2692)+~E(x2691,x2692) 5.41/5.27 [270]P10(x2702,x2703)+~E(x2701,x2702)+~P10(x2701,x2703) 5.41/5.27 [271]P10(x2713,x2712)+~E(x2711,x2712)+~P10(x2713,x2711) 5.41/5.27 [272]~P65(x2721)+P65(x2722)+~E(x2721,x2722) 5.41/5.27 [273]~P26(x2731)+P26(x2732)+~E(x2731,x2732) 5.41/5.27 [274]~P23(x2741)+P23(x2742)+~E(x2741,x2742) 5.41/5.27 [275]~P41(x2751)+P41(x2752)+~E(x2751,x2752) 5.41/5.27 [276]~P69(x2761)+P69(x2762)+~E(x2761,x2762) 5.41/5.27 [277]~P21(x2771)+P21(x2772)+~E(x2771,x2772) 5.41/5.27 [278]~P73(x2781)+P73(x2782)+~E(x2781,x2782) 5.41/5.27 [279]~P71(x2791)+P71(x2792)+~E(x2791,x2792) 5.41/5.27 [280]~P68(x2801)+P68(x2802)+~E(x2801,x2802) 5.41/5.27 [281]~P62(x2811)+P62(x2812)+~E(x2811,x2812) 5.41/5.27 [282]~P22(x2821)+P22(x2822)+~E(x2821,x2822) 5.41/5.27 [283]~P46(x2831)+P46(x2832)+~E(x2831,x2832) 5.41/5.27 [284]~P70(x2841)+P70(x2842)+~E(x2841,x2842) 5.41/5.27 [285]~P40(x2851)+P40(x2852)+~E(x2851,x2852) 5.41/5.27 [286]~P31(x2861)+P31(x2862)+~E(x2861,x2862) 5.41/5.27 [287]~P47(x2871)+P47(x2872)+~E(x2871,x2872) 5.41/5.27 [288]~P39(x2881)+P39(x2882)+~E(x2881,x2882) 5.41/5.27 [289]~P27(x2891)+P27(x2892)+~E(x2891,x2892) 5.41/5.27 [290]~P36(x2901)+P36(x2902)+~E(x2901,x2902) 5.41/5.27 [291]~P57(x2911)+P57(x2912)+~E(x2911,x2912) 5.41/5.27 [292]~P66(x2921)+P66(x2922)+~E(x2921,x2922) 5.41/5.27 [293]~P56(x2931)+P56(x2932)+~E(x2931,x2932) 5.41/5.27 [294]~P20(x2941)+P20(x2942)+~E(x2941,x2942) 5.41/5.27 [295]~P72(x2951)+P72(x2952)+~E(x2951,x2952) 5.41/5.27 [296]~P60(x2961)+P60(x2962)+~E(x2961,x2962) 5.41/5.27 [297]~P25(x2971)+P25(x2972)+~E(x2971,x2972) 5.41/5.27 [298]~P13(x2981)+P13(x2982)+~E(x2981,x2982) 5.41/5.27 [299]~P74(x2991)+P74(x2992)+~E(x2991,x2992) 5.41/5.27 [300]~P61(x3001)+P61(x3002)+~E(x3001,x3002) 5.41/5.27 [301]~P28(x3011)+P28(x3012)+~E(x3011,x3012) 5.41/5.27 [302]~P37(x3021)+P37(x3022)+~E(x3021,x3022) 5.41/5.27 [303]~P12(x3031)+P12(x3032)+~E(x3031,x3032) 5.41/5.27 [304]~P35(x3041)+P35(x3042)+~E(x3041,x3042) 5.41/5.27 [305]~P19(x3051)+P19(x3052)+~E(x3051,x3052) 5.41/5.27 [306]~P52(x3061)+P52(x3062)+~E(x3061,x3062) 5.41/5.27 [307]~P18(x3071)+P18(x3072)+~E(x3071,x3072) 5.41/5.27 [308]P9(x3082,x3083)+~E(x3081,x3082)+~P9(x3081,x3083) 5.41/5.27 [309]P9(x3093,x3092)+~E(x3091,x3092)+~P9(x3093,x3091) 5.41/5.27 5.41/5.27 %------------------------------------------- 5.41/5.28 cnf(2020,plain, 5.41/5.28 (E(f11(a97,f7(a97)),f7(a97))), 5.41/5.28 inference(equality_inference,[],[734])). 5.41/5.28 cnf(2022,plain, 5.41/5.28 (E(f11(a98,f7(a98)),f7(a98))), 5.41/5.28 inference(equality_inference,[],[736])). 5.41/5.28 cnf(2048,plain, 5.41/5.28 (P5(x20481,x20482,x20482)+~P15(x20481)), 5.41/5.28 inference(equality_inference,[],[811])). 5.41/5.28 cnf(2064,plain, 5.41/5.28 (P5(a97,f21(a100,f7(a100)),f7(a97))), 5.41/5.28 inference(equality_inference,[],[875])). 5.41/5.28 cnf(2066,plain, 5.41/5.28 (~P6(a97,x20661,x20661)), 5.41/5.28 inference(equality_inference,[],[883])). 5.41/5.28 cnf(2068,plain, 5.41/5.28 (~P6(a98,x20681,x20681)), 5.41/5.28 inference(equality_inference,[],[889])). 5.41/5.28 cnf(2076,plain, 5.41/5.28 (~P44(x20761)+~P65(x20761)+~P76(x20761)+~P48(x20761)+E(x20762,f7(a100))+E(f24(f24(f13(x20761),f7(x20761)),x20762),f7(x20761))), 5.41/5.28 inference(equality_inference,[],[930])). 5.41/5.28 cnf(2078,plain, 5.41/5.28 (E(f24(f24(f9(a100),x20781),f7(a100)),f24(f24(f9(a100),x20782),f7(a100)))), 5.41/5.28 inference(equality_inference,[],[932])). 5.41/5.28 cnf(2082,plain, 5.41/5.28 (E(f24(f24(f13(a100),x20821),f7(a100)),f10(a100,f7(a100),f2(a100)))), 5.41/5.28 inference(equality_inference,[],[965])). 5.41/5.28 cnf(2094,plain, 5.41/5.28 (P6(a100,f7(a100),f24(f24(f13(a100),x20941),f7(a100)))), 5.41/5.28 inference(equality_inference,[],[1086])). 5.41/5.28 cnf(2097,plain, 5.41/5.28 (P6(a98,x20971,f10(a98,x20971,f2(a98)))), 5.41/5.28 inference(equality_inference,[],[1096])). 5.41/5.28 cnf(2110,plain, 5.41/5.28 (~P5(a100,x21101,x21102)+E(x21102,f10(a100,f5(a100,x21102,x21101),x21101))), 5.41/5.28 inference(equality_inference,[],[1238])). 5.41/5.28 cnf(2119,plain, 5.41/5.28 (P6(a98,f7(a98),f24(f24(f13(a98),f3(a98,x21191)),f7(a100)))), 5.41/5.28 inference(equality_inference,[],[1309])). 5.41/5.28 cnf(2141,plain, 5.41/5.28 (~P6(a98,x21411,x21412)+E(f4(a98,f10(a98,f24(f24(f9(a98),x21412),x21413),x21411),x21412),x21413)+E(f7(a98),x21412)+~P5(a98,f7(a98),x21411)+~P6(a98,f7(a98),x21412)), 5.41/5.28 inference(equality_inference,[],[1802])). 5.41/5.28 cnf(2154,plain, 5.41/5.28 (~P5(a100,x21541,x21541)+E(f10(a100,f24(f24(f9(a100),f5(a100,x21541,x21541)),x21542),x21543),x21543)), 5.41/5.28 inference(equality_inference,[],[1948])). 5.41/5.28 cnf(2157,plain, 5.41/5.28 (~P5(a100,x21571,x21572)+E(f10(a100,f24(f24(f9(a100),x21572),x21573),x21574),f10(a100,f24(f24(f9(a100),x21571),x21573),f10(a100,f24(f24(f9(a100),f5(a100,x21572,x21571)),x21573),x21574)))), 5.41/5.28 inference(equality_inference,[],[1961])). 5.41/5.28 cnf(2163,plain, 5.41/5.28 (~P6(a97,f8(a97,f10(a97,f2(a97),f22(a1,a102))),f3(a97,f24(f24(f9(a97),a104),a105)))), 5.41/5.28 inference(scs_inference,[],[669,1376])). 5.41/5.28 cnf(2167,plain, 5.41/5.28 (E(f3(a97,f7(a97)),f7(a97))), 5.41/5.28 inference(scs_inference,[],[669,2066,666,1376,788,842])). 5.41/5.28 cnf(2168,plain, 5.41/5.28 (~P6(a97,x21681,x21681)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2172,plain, 5.41/5.28 (~E(f7(a100),f24(f24(f13(a100),x21721),f7(a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2066,2094,666,1376,788,842,883,888])). 5.41/5.28 cnf(2174,plain, 5.41/5.28 (~E(x21741,f10(a98,x21741,f2(a98)))), 5.41/5.28 inference(scs_inference,[],[669,600,2066,2097,2094,666,1376,788,842,883,888,889])). 5.41/5.28 cnf(2176,plain, 5.41/5.28 (P5(a100,x21761,f12(f21(a100,f10(a100,x21761,x21762))))), 5.41/5.28 inference(scs_inference,[],[669,600,2066,2097,2094,529,666,1376,788,842,883,888,889,1030])). 5.41/5.28 cnf(2177,plain, 5.41/5.28 (E(f12(f21(a100,x21771)),x21771)), 5.41/5.28 inference(rename_variables,[],[529])). 5.41/5.28 cnf(2180,plain, 5.41/5.28 (P6(a97,x21801,f10(a97,f21(a100,f20(x21801)),f2(a97)))), 5.41/5.28 inference(rename_variables,[],[600])). 5.41/5.28 cnf(2182,plain, 5.41/5.28 (~E(x21821,f10(a100,x21822,f10(a100,x21821,f2(a100))))), 5.41/5.28 inference(scs_inference,[],[669,600,2066,2097,2094,664,529,666,1376,788,842,883,888,889,1030,1053,1095])). 5.41/5.28 cnf(2183,plain, 5.41/5.28 (~P6(a100,f10(a100,x21831,x21832),x21832)), 5.41/5.28 inference(rename_variables,[],[664])). 5.41/5.28 cnf(2186,plain, 5.41/5.28 (P6(a97,x21861,f10(a97,f21(a100,f20(x21861)),f2(a97)))), 5.41/5.28 inference(rename_variables,[],[600])). 5.41/5.28 cnf(2188,plain, 5.41/5.28 (P6(a97,x21881,f21(a100,f10(a100,f20(x21881),f2(a100))))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2066,2097,2094,537,664,529,666,1376,788,842,883,888,889,1030,1053,1095,1460,1518])). 5.41/5.28 cnf(2189,plain, 5.41/5.28 (P5(a100,x21891,x21891)), 5.41/5.28 inference(rename_variables,[],[537])). 5.41/5.28 cnf(2193,plain, 5.41/5.28 (E(f10(a100,f24(f24(f9(a100),x21931),x21932),x21933),f10(a100,f24(f24(f9(a100),x21931),x21932),f10(a100,f24(f24(f9(a100),f5(a100,x21931,x21931)),x21932),x21933)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2066,2097,2094,537,2189,664,327,529,666,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157])). 5.41/5.28 cnf(2195,plain, 5.41/5.28 (E(f7(a97),f11(a97,f7(a97)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2097,2094,537,2189,664,327,529,666,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2])). 5.41/5.28 cnf(2196,plain, 5.41/5.28 (~E(x21961,f10(a100,f10(a100,x21962,x21961),f2(a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2097,2094,537,2189,664,327,529,666,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9])). 5.41/5.28 cnf(2198,plain, 5.41/5.28 (~P6(a98,x21981,x21981)), 5.41/5.28 inference(rename_variables,[],[2068])). 5.41/5.28 cnf(2201,plain, 5.41/5.28 (~E(f10(a100,x22011,f2(a100)),x22011)), 5.41/5.28 inference(rename_variables,[],[656])). 5.41/5.28 cnf(2204,plain, 5.41/5.28 (~E(f10(a100,x22041,f2(a100)),f7(a100))), 5.41/5.28 inference(rename_variables,[],[662])). 5.41/5.28 cnf(2207,plain, 5.41/5.28 (~E(f10(a100,x22071,f2(a100)),f7(a100))), 5.41/5.28 inference(rename_variables,[],[662])). 5.41/5.28 cnf(2210,plain, 5.41/5.28 (P5(a100,f4(a100,x22101,x22102),x22101)), 5.41/5.28 inference(rename_variables,[],[583])). 5.41/5.28 cnf(2215,plain, 5.41/5.28 (P5(a97,x22151,x22151)), 5.41/5.28 inference(rename_variables,[],[536])). 5.41/5.28 cnf(2218,plain, 5.41/5.28 (P5(a97,x22181,x22181)), 5.41/5.28 inference(rename_variables,[],[536])). 5.41/5.28 cnf(2221,plain, 5.41/5.28 (E(f5(a100,f10(a100,x22211,x22212),x22212),x22211)), 5.41/5.28 inference(rename_variables,[],[584])). 5.41/5.28 cnf(2224,plain, 5.41/5.28 (~P6(a98,x22241,x22241)), 5.41/5.28 inference(rename_variables,[],[2068])). 5.41/5.28 cnf(2227,plain, 5.41/5.28 (E(f10(a100,x22271,x22272),f10(a100,x22272,x22271))), 5.41/5.28 inference(rename_variables,[],[567])). 5.41/5.28 cnf(2230,plain, 5.41/5.28 (P5(a98,x22301,x22301)), 5.41/5.28 inference(rename_variables,[],[538])). 5.41/5.28 cnf(2232,plain, 5.41/5.28 (E(x22321,f10(a100,f24(f24(f9(a100),f5(a100,x22322,x22322)),x22323),x22321))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,537,2189,538,567,583,664,327,369,529,666,584,656,662,2204,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098])). 5.41/5.28 cnf(2235,plain, 5.41/5.28 (~P6(a100,x22351,x22351)), 5.41/5.28 inference(rename_variables,[],[651])). 5.41/5.28 cnf(2237,plain, 5.41/5.28 (P5(a97,x22371,f3(a97,x22371))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,2218,537,2189,538,651,567,583,664,327,369,529,666,584,656,662,2204,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112])). 5.41/5.28 cnf(2238,plain, 5.41/5.28 (P5(a97,x22381,x22381)), 5.41/5.28 inference(rename_variables,[],[536])). 5.41/5.28 cnf(2240,plain, 5.41/5.28 (P5(a100,x22401,f20(f21(a100,x22401)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,2218,2238,537,2189,538,651,567,583,664,327,369,529,666,584,656,662,2204,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122])). 5.41/5.28 cnf(2241,plain, 5.41/5.28 (P5(a97,x22411,x22411)), 5.41/5.28 inference(rename_variables,[],[536])). 5.41/5.28 cnf(2243,plain, 5.41/5.28 (P5(a100,f12(f21(a100,x22431)),x22431)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,2218,2238,2241,537,2189,538,651,567,583,664,327,369,529,666,584,656,662,2204,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123])). 5.41/5.28 cnf(2244,plain, 5.41/5.28 (P5(a97,x22441,x22441)), 5.41/5.28 inference(rename_variables,[],[536])). 5.41/5.28 cnf(2246,plain, 5.41/5.28 (P5(a100,x22461,f12(f21(a100,x22461)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,2218,2238,2241,537,2189,538,651,567,583,664,327,369,529,563,666,584,656,662,2204,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205])). 5.41/5.28 cnf(2247,plain, 5.41/5.28 (P5(a97,x22471,f21(a100,f12(x22471)))), 5.41/5.28 inference(rename_variables,[],[563])). 5.41/5.28 cnf(2251,plain, 5.41/5.28 (P6(a100,x22511,f10(a100,x22512,f10(a100,x22511,f2(a100))))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,2218,2238,2241,537,2189,538,651,567,583,664,2183,327,369,529,563,666,584,656,662,2204,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227])). 5.41/5.28 cnf(2252,plain, 5.41/5.28 (~P6(a100,f10(a100,x22521,x22522),x22522)), 5.41/5.28 inference(rename_variables,[],[664])). 5.41/5.28 cnf(2255,plain, 5.41/5.28 (~P5(a100,f10(a100,x22551,f2(a100)),x22551)), 5.41/5.28 inference(rename_variables,[],[666])). 5.41/5.28 cnf(2258,plain, 5.41/5.28 (~P5(a100,f10(a100,x22581,f2(a100)),x22581)), 5.41/5.28 inference(rename_variables,[],[666])). 5.41/5.28 cnf(2261,plain, 5.41/5.28 (~P6(a100,f10(a100,x22611,x22612),x22612)), 5.41/5.28 inference(rename_variables,[],[664])). 5.41/5.28 cnf(2264,plain, 5.41/5.28 (~P6(a100,f10(a100,x22641,x22642),x22642)), 5.41/5.28 inference(rename_variables,[],[664])). 5.41/5.28 cnf(2266,plain, 5.41/5.28 (~P6(a100,x22661,f5(a100,x22661,x22662))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,2218,2238,2241,537,2189,538,651,2235,567,583,664,2183,2252,2261,327,369,529,563,666,2255,584,656,662,2204,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295])). 5.41/5.28 cnf(2267,plain, 5.41/5.28 (~P6(a100,x22671,x22671)), 5.41/5.28 inference(rename_variables,[],[651])). 5.41/5.28 cnf(2270,plain, 5.41/5.28 (~E(f10(a100,x22701,f2(a100)),f7(a100))), 5.41/5.28 inference(rename_variables,[],[662])). 5.41/5.28 cnf(2272,plain, 5.41/5.28 (~P5(a100,f10(a100,x22721,f10(a100,x22722,f2(a100))),x22722)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2097,2094,536,2215,2218,2238,2241,537,2189,538,651,2235,567,583,664,2183,2252,2261,2264,327,369,529,563,666,2255,584,656,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319])). 5.41/5.28 cnf(2273,plain, 5.41/5.28 (~P6(a100,f10(a100,x22731,x22732),x22732)), 5.41/5.28 inference(rename_variables,[],[664])). 5.41/5.28 cnf(2275,plain, 5.41/5.28 (~P5(a98,f10(a98,x22751,f2(a98)),x22751)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2097,2094,536,2215,2218,2238,2241,537,2189,538,651,2235,567,583,664,2183,2252,2261,2264,327,369,529,563,666,2255,584,656,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322])). 5.41/5.28 cnf(2276,plain, 5.41/5.28 (~P6(a98,x22761,x22761)), 5.41/5.28 inference(rename_variables,[],[2068])). 5.41/5.28 cnf(2279,plain, 5.41/5.28 (~P6(a98,x22791,x22791)), 5.41/5.28 inference(rename_variables,[],[2068])). 5.41/5.28 cnf(2285,plain, 5.41/5.28 (~P6(a97,f10(a97,f3(a97,x22851),f2(a97)),x22851)), 5.41/5.28 inference(rename_variables,[],[668])). 5.41/5.28 cnf(2288,plain, 5.41/5.28 (P5(a100,x22881,f10(a100,x22882,x22881))), 5.41/5.28 inference(rename_variables,[],[580])). 5.41/5.28 cnf(2291,plain, 5.41/5.28 (P5(a100,x22911,f10(a100,x22912,x22911))), 5.41/5.28 inference(rename_variables,[],[580])). 5.41/5.28 cnf(2293,plain, 5.41/5.28 (P6(a100,x22931,f10(a100,f10(a100,x22932,f10(a100,x22931,x22933)),f2(a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,651,2235,567,580,2288,583,664,2183,2252,2261,2264,327,369,529,563,666,2255,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402])). 5.41/5.28 cnf(2294,plain, 5.41/5.28 (P6(a100,x22941,f10(a100,f10(a100,x22942,x22941),f2(a100)))), 5.41/5.28 inference(rename_variables,[],[629])). 5.41/5.28 cnf(2297,plain, 5.41/5.28 (E(f10(a100,x22971,x22972),f10(a100,x22972,x22971))), 5.41/5.28 inference(rename_variables,[],[567])). 5.41/5.28 cnf(2299,plain, 5.41/5.28 (P6(a98,f5(a98,x22991,f2(a98)),x22991)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,567,2227,580,2288,583,664,2183,2252,2261,2264,327,369,529,563,666,2255,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417])). 5.41/5.28 cnf(2300,plain, 5.41/5.28 (P5(a98,x23001,x23001)), 5.41/5.28 inference(rename_variables,[],[538])). 5.41/5.28 cnf(2303,plain, 5.41/5.28 (P5(a100,x23031,f10(a100,x23031,x23032))), 5.41/5.28 inference(rename_variables,[],[581])). 5.41/5.28 cnf(2307,plain, 5.41/5.28 (~P5(a100,f10(a100,f10(a100,x23071,f2(a100)),x23072),x23071)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,369,529,563,666,2255,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497])). 5.41/5.28 cnf(2308,plain, 5.41/5.28 (P5(a100,x23081,f10(a100,x23081,x23082))), 5.41/5.28 inference(rename_variables,[],[581])). 5.41/5.28 cnf(2312,plain, 5.41/5.28 (~P5(a100,f5(a100,f10(a100,f10(a100,x23121,x23122),f2(a100)),x23122),x23121)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,369,529,563,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595])). 5.41/5.28 cnf(2313,plain, 5.41/5.28 (~P5(a100,f10(a100,x23131,f2(a100)),x23131)), 5.41/5.28 inference(rename_variables,[],[666])). 5.41/5.28 cnf(2316,plain, 5.41/5.28 (~P6(a100,x23161,x23161)), 5.41/5.28 inference(rename_variables,[],[651])). 5.41/5.28 cnf(2318,plain, 5.41/5.28 (~P6(a100,x23181,f5(a100,f10(a100,x23181,x23182),x23182))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,369,529,563,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598])). 5.41/5.28 cnf(2319,plain, 5.41/5.28 (~P6(a100,x23191,x23191)), 5.41/5.28 inference(rename_variables,[],[651])). 5.41/5.28 cnf(2322,plain, 5.41/5.28 (P5(a97,x23221,f21(a100,f12(x23221)))), 5.41/5.28 inference(rename_variables,[],[563])). 5.41/5.28 cnf(2324,plain, 5.41/5.28 (P5(a100,x23241,f10(a100,f10(a100,x23242,x23241),x23243))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,369,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703])). 5.41/5.28 cnf(2332,plain, 5.41/5.28 (E(f10(a100,f24(f24(f9(a100),f5(a100,x23321,x23321)),x23322),x23323),x23323)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,369,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154])). 5.41/5.28 cnf(2334,plain, 5.41/5.28 (P5(a97,f10(a97,f10(a97,f2(a97),f22(a1,a102)),f3(a97,f24(f24(f9(a97),a104),a105))),f7(a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,369,370,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988])). 5.41/5.28 cnf(2336,plain, 5.41/5.28 (P6(a97,x23361,f10(a97,f21(a100,f20(f3(a97,x23361))),f2(a97)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,369,370,377,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165])). 5.41/5.28 cnf(2337,plain, 5.41/5.28 (P6(a97,x23371,f10(a97,f21(a100,f20(x23371)),f2(a97)))), 5.41/5.28 inference(rename_variables,[],[600])). 5.41/5.28 cnf(2347,plain, 5.41/5.28 (P6(a97,x23471,f21(a100,f20(f10(a97,x23471,f2(a97)))))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,331,369,370,377,387,464,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721])). 5.41/5.28 cnf(2348,plain, 5.41/5.28 (P6(a97,x23481,f10(a97,f21(a100,f20(x23481)),f2(a97)))), 5.41/5.28 inference(rename_variables,[],[600])). 5.41/5.28 cnf(2350,plain, 5.41/5.28 (P6(a97,x23501,f10(a97,x23502,f10(a97,f21(a100,f20(f3(a97,f5(a97,x23501,x23502)))),f2(a97))))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,331,369,370,377,387,464,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856])). 5.41/5.28 cnf(2351,plain, 5.41/5.28 (P6(a97,x23511,f10(a97,f21(a100,f20(x23511)),f2(a97)))), 5.41/5.28 inference(rename_variables,[],[600])). 5.41/5.28 cnf(2353,plain, 5.41/5.28 (P6(f10(a100,f24(f24(f9(a100),f5(a100,x23531,x23531)),x23532),a97),x23533,f10(a97,f21(a100,f20(x23533)),f2(a97)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2020,2066,2068,2198,2224,2276,2097,2094,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,331,369,370,377,387,464,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226])). 5.41/5.28 cnf(2354,plain, 5.41/5.28 (~E(f7(a98),f24(f24(f13(a98),f3(a98,x23541)),f7(a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,327,331,369,370,377,387,464,529,563,2247,666,2255,2258,629,584,668,656,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227])). 5.41/5.28 cnf(2355,plain, 5.41/5.28 (~P6(a98,x23551,x23551)), 5.41/5.28 inference(rename_variables,[],[2068])). 5.41/5.28 cnf(2357,plain, 5.41/5.28 (P6(a97,x23571,f10(a97,f21(a100,f20(x23571)),f2(a97)))), 5.41/5.28 inference(rename_variables,[],[600])). 5.41/5.28 cnf(2359,plain, 5.41/5.28 (~E(f10(a100,x23591,f2(a100)),x23591)), 5.41/5.28 inference(rename_variables,[],[656])). 5.41/5.28 cnf(2363,plain, 5.41/5.28 (~E(f7(a98),f2(a98))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,326,327,331,337,369,370,377,387,464,529,563,2247,666,2255,2258,629,584,668,656,2201,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811])). 5.41/5.28 cnf(2365,plain, 5.41/5.28 (~E(x23651,f10(a100,f10(a100,x23651,x23652),f2(a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,326,327,331,337,367,369,370,377,387,464,529,563,2247,666,2255,2258,629,584,668,656,2201,604,662,2204,2207,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812])). 5.41/5.28 cnf(2374,plain, 5.41/5.28 (~E(x23741,f8(a98,f10(a98,f2(a98),x23741)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,325,326,327,331,337,339,367,369,370,377,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904])). 5.41/5.28 cnf(2380,plain, 5.41/5.28 (~P6(a97,f11(a97,f7(a97)),f7(a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2078,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,324,325,326,327,331,337,339,367,369,370,377,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928])). 5.41/5.28 cnf(2384,plain, 5.41/5.28 (~P6(a98,f2(a98),f7(a98))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2078,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,324,325,326,327,331,337,339,364,367,369,370,377,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055])). 5.41/5.28 cnf(2386,plain, 5.41/5.28 (~P6(a100,f10(a100,f10(a100,x23861,x23862),f2(a100)),x23861)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2078,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,324,325,326,327,331,337,339,364,367,369,370,377,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057])). 5.41/5.28 cnf(2390,plain, 5.41/5.28 (~P6(a97,f10(a97,f21(a100,f20(x23901)),f2(a97)),x23901)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2068,2198,2224,2276,2279,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,324,325,326,327,331,337,339,364,367,369,370,377,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124])). 5.41/5.28 cnf(2393,plain, 5.41/5.28 (~P6(a100,x23931,f7(a100))), 5.41/5.28 inference(rename_variables,[],[654])). 5.41/5.28 cnf(2396,plain, 5.41/5.28 (~P6(a97,x23961,x23961)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2398,plain, 5.41/5.28 (~P6(a98,f7(a98),f8(a98,f7(a98)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2068,2198,2224,2276,2279,2355,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,654,324,325,326,327,331,332,337,339,364,367,369,370,377,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200])). 5.41/5.28 cnf(2399,plain, 5.41/5.28 (~P6(a98,x23991,x23991)), 5.41/5.28 inference(rename_variables,[],[2068])). 5.41/5.28 cnf(2402,plain, 5.41/5.28 (~P6(a98,x24021,x24021)), 5.41/5.28 inference(rename_variables,[],[2068])). 5.41/5.28 cnf(2405,plain, 5.41/5.28 (~P6(a97,x24051,x24051)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2408,plain, 5.41/5.28 (~P6(a97,x24081,x24081)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2411,plain, 5.41/5.28 (~P6(a97,x24111,x24111)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2413,plain, 5.41/5.28 (~E(x24131,f10(a100,f10(a100,f10(a100,x24132,f5(a100,x24131,x24131)),f2(a100)),x24131))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2068,2198,2224,2276,2279,2355,2399,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,583,664,2183,2252,2261,2264,654,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239])). 5.41/5.28 cnf(2415,plain, 5.41/5.28 (~E(f10(a100,x24151,f10(a100,x24151,f2(a100))),x24151)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2068,2198,2224,2276,2279,2355,2399,2097,2094,2119,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335])). 5.41/5.28 cnf(2420,plain, 5.41/5.28 (~P6(a97,x24201,x24201)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2425,plain, 5.41/5.28 (P6(a100,f24(f24(f13(a100),x24251),f7(a100)),f10(a100,f24(f24(f13(a100),x24252),f7(a100)),f2(a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,388,464,491,529,563,2247,666,2255,2258,629,584,668,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484])). 5.41/5.28 cnf(2428,plain, 5.41/5.28 (~P6(a97,f10(a97,f3(a97,x24281),f2(a97)),x24281)), 5.41/5.28 inference(rename_variables,[],[668])). 5.41/5.28 cnf(2430,plain, 5.41/5.28 (~P6(a100,f5(a100,f10(a100,x24301,x24302),x24302),x24301)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,388,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534])). 5.41/5.28 cnf(2435,plain, 5.41/5.28 (~P6(a97,x24351,x24351)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2437,plain, 5.41/5.28 (~P6(a97,x24371,f10(a97,f24(f24(f9(a97),f5(a97,x24372,x24372)),x24373),x24371))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004])). 5.41/5.28 cnf(2438,plain, 5.41/5.28 (~P6(a97,x24381,x24381)), 5.41/5.28 inference(rename_variables,[],[2066])). 5.41/5.28 cnf(2441,plain, 5.41/5.28 (~E(f10(a100,x24411,f2(a100)),x24411)), 5.41/5.28 inference(rename_variables,[],[656])). 5.41/5.28 cnf(2442,plain, 5.41/5.28 (P1(f10(a100,f24(f24(f9(a100),f5(a100,x24421,x24421)),x24422),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225])). 5.41/5.28 cnf(2443,plain, 5.41/5.28 (P5(f10(a100,f24(f24(f9(a100),f5(a100,x24431,x24431)),x24432),a97),x24433,x24433)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229])). 5.41/5.28 cnf(2445,plain, 5.41/5.28 (P5(a97,x24451,x24451)), 5.41/5.28 inference(rename_variables,[],[536])). 5.41/5.28 cnf(2446,plain, 5.41/5.28 (P5(a97,f21(a100,f7(a100)),f11(a97,f7(a97)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231])). 5.41/5.28 cnf(2447,plain, 5.41/5.28 (P48(f10(a100,f24(f24(f9(a100),f5(a100,x24471,x24471)),x24472),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,324,325,326,327,331,332,337,339,364,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232])). 5.41/5.28 cnf(2448,plain, 5.41/5.28 (P43(f10(a100,f24(f24(f9(a100),f5(a100,x24481,x24481)),x24482),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,324,325,326,327,331,332,337,339,364,366,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234])). 5.41/5.28 cnf(2449,plain, 5.41/5.28 (P15(f10(a100,f24(f24(f9(a100),f5(a100,x24491,x24491)),x24492),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,324,325,326,327,331,332,337,339,364,366,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235])). 5.41/5.28 cnf(2450,plain, 5.41/5.28 (P49(f10(a100,f24(f24(f9(a100),f5(a100,x24501,x24501)),x24502),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,324,325,326,327,331,332,337,339,364,366,367,369,370,377,378,387,388,447,464,468,491,529,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236])). 5.41/5.28 cnf(2451,plain, 5.41/5.28 (~P16(f12(f21(a100,a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,324,325,326,327,331,332,337,339,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237])). 5.41/5.28 cnf(2452,plain, 5.41/5.28 (E(f12(f21(a100,x24521)),x24521)), 5.41/5.28 inference(rename_variables,[],[529])). 5.41/5.28 cnf(2453,plain, 5.41/5.28 (P55(f10(a100,f24(f24(f9(a100),f5(a100,x24531,x24531)),x24532),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,324,325,326,327,331,332,337,339,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238])). 5.41/5.28 cnf(2454,plain, 5.41/5.28 (P2(f10(a100,f24(f24(f9(a100),f5(a100,x24541,x24541)),x24542),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,331,332,337,339,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239])). 5.41/5.28 cnf(2455,plain, 5.41/5.28 (P53(f10(a100,f24(f24(f9(a100),f5(a100,x24551,x24551)),x24552),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,331,332,337,339,343,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240])). 5.41/5.28 cnf(2456,plain, 5.41/5.28 (P3(f10(a100,f24(f24(f9(a100),f5(a100,x24561,x24561)),x24562),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,331,332,337,339,343,347,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241])). 5.41/5.28 cnf(2457,plain, 5.41/5.28 (P30(f10(a100,f24(f24(f9(a100),f5(a100,x24571,x24571)),x24572),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,331,332,337,339,343,347,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242])). 5.41/5.28 cnf(2458,plain, 5.41/5.28 (P29(f10(a100,f24(f24(f9(a100),f5(a100,x24581,x24581)),x24582),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,331,332,337,339,343,347,355,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243])). 5.41/5.28 cnf(2459,plain, 5.41/5.28 (P24(f10(a100,f24(f24(f9(a100),f5(a100,x24591,x24591)),x24592),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,331,332,337,339,343,347,355,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244])). 5.41/5.28 cnf(2460,plain, 5.41/5.28 (P54(f10(a100,f24(f24(f9(a100),f5(a100,x24601,x24601)),x24602),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,337,339,343,347,355,364,366,367,369,370,377,378,387,388,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245])). 5.41/5.28 cnf(2461,plain, 5.41/5.28 (P64(f10(a100,f24(f24(f9(a100),f5(a100,x24611,x24611)),x24612),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,337,339,343,347,355,364,366,367,369,370,377,378,387,388,390,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246])). 5.41/5.28 cnf(2462,plain, 5.41/5.28 (P32(f10(a100,f24(f24(f9(a100),f5(a100,x24621,x24621)),x24622),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,337,339,343,347,355,364,366,367,369,370,377,378,387,388,390,447,464,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247])). 5.41/5.28 cnf(2463,plain, 5.41/5.28 (P33(f10(a100,f24(f24(f9(a100),f5(a100,x24631,x24631)),x24632),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,337,339,343,347,355,364,366,367,369,370,377,378,387,388,390,447,464,467,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248])). 5.41/5.28 cnf(2464,plain, 5.41/5.28 (P45(f10(a100,f24(f24(f9(a100),f5(a100,x24641,x24641)),x24642),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,337,339,343,347,351,355,364,366,367,369,370,377,378,387,388,390,447,464,467,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249])). 5.41/5.28 cnf(2465,plain, 5.41/5.28 (P59(f10(a100,f24(f24(f9(a100),f5(a100,x24651,x24651)),x24652),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,337,339,343,347,351,352,355,364,366,367,369,370,377,378,387,388,390,447,464,467,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252])). 5.41/5.28 cnf(2466,plain, 5.41/5.28 (P50(f10(a100,f24(f24(f9(a100),f5(a100,x24661,x24661)),x24662),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,343,347,351,352,355,364,366,367,369,370,377,378,387,388,390,447,464,467,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253])). 5.41/5.28 cnf(2467,plain, 5.41/5.28 (P63(f10(a100,f24(f24(f9(a100),f5(a100,x24671,x24671)),x24672),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,447,464,467,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254])). 5.41/5.28 cnf(2468,plain, 5.41/5.28 (P58(f10(a100,f24(f24(f9(a100),f5(a100,x24681,x24681)),x24682),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,447,449,464,467,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255])). 5.41/5.28 cnf(2469,plain, 5.41/5.28 (P34(f10(a100,f24(f24(f9(a100),f5(a100,x24691,x24691)),x24692),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,447,449,464,467,468,491,529,2177,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256])). 5.41/5.28 cnf(2470,plain, 5.41/5.28 (~P17(f12(f21(a100,a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,447,449,464,467,468,491,529,2177,2452,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257])). 5.41/5.28 cnf(2471,plain, 5.41/5.28 (E(f12(f21(a100,x24711)),x24711)), 5.41/5.28 inference(rename_variables,[],[529])). 5.41/5.28 cnf(2472,plain, 5.41/5.28 (P4(f10(a100,f5(a100,a100,a100),a100))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,396,447,449,464,467,468,491,529,2177,2452,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258])). 5.41/5.28 cnf(2473,plain, 5.41/5.28 (P76(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24731),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,396,447,449,464,467,468,491,498,529,2177,2452,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259])). 5.41/5.28 cnf(2474,plain, 5.41/5.28 (P42(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24741),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,396,447,449,464,467,468,491,498,529,2177,2452,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260])). 5.41/5.28 cnf(2475,plain, 5.41/5.28 (P14(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24751),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,364,366,367,369,370,377,378,387,388,390,396,447,449,464,467,468,479,491,498,529,2177,2452,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263])). 5.41/5.28 cnf(2476,plain, 5.41/5.28 (P51(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24761),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,387,388,390,396,447,449,464,467,468,479,491,498,529,2177,2452,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264])). 5.41/5.28 cnf(2477,plain, 5.41/5.28 (~P11(f12(f21(a100,a100)))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,387,388,390,396,447,449,464,467,468,479,491,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265])). 5.41/5.28 cnf(2479,plain, 5.41/5.28 (P44(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24791),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,447,449,464,467,468,479,491,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266])). 5.41/5.28 cnf(2480,plain, 5.41/5.28 (P67(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24801),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,447,449,464,467,468,479,491,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267])). 5.41/5.28 cnf(2481,plain, 5.41/5.28 (P38(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24811),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,447,449,464,467,468,479,491,494,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268])). 5.41/5.28 cnf(2482,plain, 5.41/5.28 (P75(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24821),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,447,449,464,467,468,479,490,491,494,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269])). 5.41/5.28 cnf(2483,plain, 5.41/5.28 (P65(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24831),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,424,447,449,464,467,468,479,490,491,494,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272])). 5.41/5.28 cnf(2484,plain, 5.41/5.28 (P26(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24841),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,420,424,447,449,464,467,468,479,490,491,494,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273])). 5.41/5.28 cnf(2485,plain, 5.41/5.28 (P23(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24851),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,420,424,447,449,464,467,468,479,484,490,491,494,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274])). 5.41/5.28 cnf(2486,plain, 5.41/5.28 (P41(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24861),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,407,420,424,447,449,464,467,468,479,484,490,491,494,498,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275])). 5.41/5.28 cnf(2487,plain, 5.41/5.28 (P69(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24871),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,407,420,424,447,449,464,467,468,479,484,490,491,494,498,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276])). 5.41/5.28 cnf(2488,plain, 5.41/5.28 (P21(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24881),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,447,449,464,467,468,479,484,490,491,494,498,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277])). 5.41/5.28 cnf(2489,plain, 5.41/5.28 (P73(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24891),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,434,447,449,464,467,468,479,484,490,491,494,498,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278])). 5.41/5.28 cnf(2490,plain, 5.41/5.28 (P71(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24901),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,434,447,449,464,467,468,479,481,484,490,491,494,498,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279])). 5.41/5.28 cnf(2491,plain, 5.41/5.28 (P68(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24911),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,434,447,449,464,467,468,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280])). 5.41/5.28 cnf(2492,plain, 5.41/5.28 (P62(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24921),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,434,447,449,464,467,468,473,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281])). 5.41/5.28 cnf(2493,plain, 5.41/5.28 (P22(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24931),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,434,447,449,452,464,467,468,473,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282])). 5.41/5.28 cnf(2494,plain, 5.41/5.28 (P46(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24941),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,434,447,449,452,464,467,468,473,476,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283])). 5.41/5.28 cnf(2495,plain, 5.41/5.28 (P70(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24951),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,420,424,434,440,447,449,452,464,467,468,473,476,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284])). 5.41/5.28 cnf(2496,plain, 5.41/5.28 (P31(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24961),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,416,420,424,434,440,447,449,452,464,467,468,473,476,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286])). 5.41/5.28 cnf(2497,plain, 5.41/5.28 (P47(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24971),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,416,420,424,434,440,447,449,452,464,467,468,473,476,478,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287])). 5.41/5.28 cnf(2498,plain, 5.41/5.28 (P27(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24981),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,416,420,424,434,437,440,447,449,452,464,467,468,473,476,478,479,481,484,490,491,494,498,501,508,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289])). 5.41/5.28 cnf(2499,plain, 5.41/5.28 (P36(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x24991),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,416,420,424,434,437,440,447,449,452,464,467,468,473,476,478,479,481,484,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290])). 5.41/5.28 cnf(2500,plain, 5.41/5.28 (P57(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25001),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,414,416,420,424,434,437,440,447,449,452,464,467,468,473,476,478,479,481,484,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291])). 5.41/5.28 cnf(2501,plain, 5.41/5.28 (P66(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25011),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,414,416,420,424,427,434,437,440,447,449,452,464,467,468,473,476,478,479,481,484,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292])). 5.41/5.28 cnf(2502,plain, 5.41/5.28 (P56(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25021),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,414,416,420,424,427,434,437,440,444,447,449,452,464,467,468,473,476,478,479,481,484,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293])). 5.41/5.28 cnf(2503,plain, 5.41/5.28 (P20(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25031),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,377,378,380,387,388,390,396,399,407,414,416,420,424,427,434,437,440,444,447,449,452,464,467,468,473,476,478,479,481,484,487,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294])). 5.41/5.28 cnf(2504,plain, 5.41/5.28 (P72(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25041),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,407,414,416,420,424,427,434,437,440,444,447,449,452,464,467,468,473,476,478,479,481,484,487,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295])). 5.41/5.28 cnf(2505,plain, 5.41/5.28 (P60(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25051),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,407,414,416,420,424,427,434,437,440,444,447,449,452,455,464,467,468,473,476,478,479,481,484,487,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296])). 5.41/5.28 cnf(2506,plain, 5.41/5.28 (P25(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25061),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,444,447,449,452,455,464,467,468,473,476,478,479,481,484,487,490,491,494,498,501,508,516,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297])). 5.41/5.28 cnf(2507,plain, 5.41/5.28 (P13(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25071),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,444,447,449,452,455,464,467,468,473,476,478,479,481,484,487,490,491,494,498,501,508,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298])). 5.41/5.28 cnf(2508,plain, 5.41/5.28 (P74(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25081),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,444,447,449,452,455,458,464,467,468,473,476,478,479,481,484,487,490,491,494,498,501,508,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299])). 5.41/5.28 cnf(2509,plain, 5.41/5.28 (P61(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25091),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,444,447,449,452,455,458,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,508,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300])). 5.41/5.28 cnf(2510,plain, 5.41/5.28 (P28(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25101),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,444,447,449,452,455,458,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,508,512,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301])). 5.41/5.28 cnf(2511,plain, 5.41/5.28 (P37(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25111),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,508,512,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302])). 5.41/5.28 cnf(2512,plain, 5.41/5.28 (P12(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25121),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,508,512,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303])). 5.41/5.28 cnf(2513,plain, 5.41/5.28 (P35(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25131),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,384,387,388,390,396,399,403,407,414,416,420,424,427,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,508,512,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304])). 5.41/5.28 cnf(2514,plain, 5.41/5.28 (P19(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25141),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,384,387,388,390,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,508,512,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305])). 5.41/5.28 cnf(2515,plain, 5.41/5.28 (P52(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25151),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,384,387,388,390,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306])). 5.41/5.28 cnf(2516,plain, 5.41/5.28 (P18(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x25161),a97))), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307])). 5.41/5.28 cnf(2527,plain, 5.41/5.28 (~E(f8(a1,f10(a100,f8(a1,x25271),f2(a100))),x25271)), 5.41/5.28 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,2441,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772])). 5.41/5.28 cnf(2528,plain, 5.41/5.28 (~E(f10(a100,x25281,f2(a100)),x25281)), 5.41/5.28 inference(rename_variables,[],[656])). 5.41/5.28 cnf(2537,plain, 5.41/5.28 (~E(f10(a97,x25371,f10(a97,f21(a100,f20(f7(a97))),f2(a97))),x25371)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,2441,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938])). 5.41/5.29 cnf(2545,plain, 5.41/5.29 (~E(f10(a1,x25451,f10(a100,f8(a1,x25451),f2(a100))),f7(a1))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,664,2183,2252,2261,2264,2273,654,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,668,2285,656,2201,2359,2441,2528,604,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978])). 5.41/5.29 cnf(2546,plain, 5.41/5.29 (~E(f10(a100,x25461,f2(a100)),x25461)), 5.41/5.29 inference(rename_variables,[],[656])). 5.41/5.29 cnf(2549,plain, 5.41/5.29 (~E(f10(a100,x25491,f2(a100)),x25491)), 5.41/5.29 inference(rename_variables,[],[656])). 5.41/5.29 cnf(2558,plain, 5.41/5.29 (P5(a97,f7(a97),f21(a100,x25581))), 5.41/5.29 inference(rename_variables,[],[562])). 5.41/5.29 cnf(2561,plain, 5.41/5.29 (P5(a100,f4(a100,x25611,x25612),x25611)), 5.41/5.29 inference(rename_variables,[],[583])). 5.41/5.29 cnf(2562,plain, 5.41/5.29 (P5(a100,f7(a100),x25621)), 5.41/5.29 inference(rename_variables,[],[546])). 5.41/5.29 cnf(2565,plain, 5.41/5.29 (E(f5(a100,f10(a100,x25651,x25652),x25652),x25651)), 5.41/5.29 inference(rename_variables,[],[584])). 5.41/5.29 cnf(2569,plain, 5.41/5.29 (~E(f10(a100,x25691,f2(a100)),x25691)), 5.41/5.29 inference(rename_variables,[],[656])). 5.41/5.29 cnf(2571,plain, 5.41/5.29 (P5(a98,x25711,f3(a98,x25711))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,2210,664,2183,2252,2261,2264,2273,546,654,562,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164])). 5.41/5.29 cnf(2572,plain, 5.41/5.29 (P5(a98,x25721,x25721)), 5.41/5.29 inference(rename_variables,[],[538])). 5.41/5.29 cnf(2576,plain, 5.41/5.29 (~P5(a98,f2(a98),f8(a98,f2(a98)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,2210,664,2183,2252,2261,2264,2273,546,654,562,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178])). 5.41/5.29 cnf(2578,plain, 5.41/5.29 (~P5(a98,f7(a98),f8(a98,f2(a98)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,2210,664,2183,2252,2261,2264,2273,546,654,562,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199])). 5.41/5.29 cnf(2582,plain, 5.41/5.29 (~P5(a98,x25821,f8(a98,f10(a98,f8(a98,x25821),f2(a98))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,2210,664,2183,2252,2261,2264,2273,546,654,562,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214])). 5.41/5.29 cnf(2584,plain, 5.41/5.29 (~P5(a98,f8(a98,f7(a98)),f8(a98,f2(a98)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,583,2210,664,2183,2252,2261,2264,2273,546,654,562,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218])). 5.41/5.29 cnf(2588,plain, 5.41/5.29 (P5(a100,f4(a100,f5(a100,x25881,x25882),x25883),x25881)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234])). 5.41/5.29 cnf(2592,plain, 5.41/5.29 (~E(f10(a100,x25921,f2(a100)),x25921)), 5.41/5.29 inference(rename_variables,[],[656])). 5.41/5.29 cnf(2593,plain, 5.41/5.29 (P5(a100,x25931,f10(a100,x25932,x25931))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2595,plain, 5.41/5.29 (P5(a97,f21(a100,x25951),f21(a100,f10(a100,x25952,f12(f21(a100,x25951)))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,2291,2593,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,2569,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344])). 5.41/5.29 cnf(2596,plain, 5.41/5.29 (P5(a100,x25961,f10(a100,x25962,x25961))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2598,plain, 5.41/5.29 (P5(a97,f21(a100,f5(a100,f20(f7(a97)),x25981)),f7(a97))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,2291,2593,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,2569,604,586,662,2204,2207,2270,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345])). 5.41/5.29 cnf(2599,plain, 5.41/5.29 (P5(a97,x25991,x25991)), 5.41/5.29 inference(rename_variables,[],[536])). 5.41/5.29 cnf(2600,plain, 5.41/5.29 (P5(a100,f5(a100,x26001,x26002),x26001)), 5.41/5.29 inference(rename_variables,[],[582])). 5.41/5.29 cnf(2602,plain, 5.41/5.29 (P6(a100,f20(f7(a97)),f10(a100,x26021,f2(a100)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,2291,2593,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,2569,604,586,662,2204,2207,2270,605,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360])). 5.41/5.29 cnf(2603,plain, 5.41/5.29 (P5(a97,x26031,x26031)), 5.41/5.29 inference(rename_variables,[],[536])). 5.41/5.29 cnf(2605,plain, 5.41/5.29 (P5(a97,f3(a97,f8(a97,f22(a1,x26051))),f22(a1,x26051))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,538,2230,2300,651,2235,2267,2316,2064,567,2227,580,2288,2291,2593,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,666,2255,2258,629,584,2221,668,2285,656,2201,2359,2441,2528,2546,2549,2569,604,577,586,662,2204,2207,2270,605,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379])). 5.41/5.29 cnf(2606,plain, 5.41/5.29 (P5(a97,x26061,x26061)), 5.41/5.29 inference(rename_variables,[],[536])). 5.41/5.29 cnf(2614,plain, 5.41/5.29 (~P6(a100,x26141,x26141)), 5.41/5.29 inference(rename_variables,[],[651])). 5.41/5.29 cnf(2623,plain, 5.41/5.29 (P6(a100,x26231,f10(a100,x26231,f2(a100)))), 5.41/5.29 inference(rename_variables,[],[587])). 5.41/5.29 cnf(2626,plain, 5.41/5.29 (P6(a100,x26261,f10(a100,x26261,f2(a100)))), 5.41/5.29 inference(rename_variables,[],[587])). 5.41/5.29 cnf(2628,plain, 5.41/5.29 (E(x26281,f10(a100,f7(a100),x26281))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,666,2255,2258,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,604,577,586,662,2204,2207,2270,605,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500])). 5.41/5.29 cnf(2631,plain, 5.41/5.29 (~P5(a100,f10(a100,x26311,f10(a100,x26312,f2(a100))),x26311)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,666,2255,2258,2313,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,604,577,586,662,2204,2207,2270,605,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642])). 5.41/5.29 cnf(2632,plain, 5.41/5.29 (~P5(a100,f10(a100,x26321,f2(a100)),x26321)), 5.41/5.29 inference(rename_variables,[],[666])). 5.41/5.29 cnf(2633,plain, 5.41/5.29 (P5(a100,x26331,f10(a100,x26332,x26331))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2635,plain, 5.41/5.29 (~P6(a100,f10(a100,f10(a100,x26351,f10(a100,f2(a100),f2(a100))),x26352),x26351)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,604,577,586,662,2204,2207,2270,605,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643])). 5.41/5.29 cnf(2639,plain, 5.41/5.29 (P5(a100,x26391,x26391)), 5.41/5.29 inference(rename_variables,[],[537])). 5.41/5.29 cnf(2645,plain, 5.41/5.29 (P5(a100,x26451,x26451)), 5.41/5.29 inference(rename_variables,[],[537])). 5.41/5.29 cnf(2647,plain, 5.41/5.29 (P6(a97,f5(a97,x26471,f10(a97,f21(a100,f20(f3(a97,f5(a97,x26472,x26471)))),f2(a97))),x26472)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,604,577,586,662,2204,2207,2270,605,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857])). 5.41/5.29 cnf(2648,plain, 5.41/5.29 (P6(a97,x26481,f10(a97,f21(a100,f20(x26481)),f2(a97)))), 5.41/5.29 inference(rename_variables,[],[600])). 5.41/5.29 cnf(2650,plain, 5.41/5.29 (~E(f10(a1,f24(f24(f9(a1),x26501),x26502),f10(a100,f10(a1,f24(f24(f9(a1),f5(a1,x26503,x26501)),x26502),x26504),f2(a100))),f10(a1,f24(f24(f9(a1),x26503),x26502),x26504))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943])). 5.41/5.29 cnf(2651,plain, 5.41/5.29 (~E(f10(a100,x26511,f2(a100)),x26511)), 5.41/5.29 inference(rename_variables,[],[656])). 5.41/5.29 cnf(2656,plain, 5.41/5.29 (E(f10(a100,f24(f24(f9(a100),x26561),x26562),f10(a100,f24(f24(f9(a100),x26563),x26562),x26564)),f10(a100,f24(f24(f9(a100),f10(a100,x26561,x26563)),x26562),x26564))), 5.41/5.29 inference(rename_variables,[],[646])). 5.41/5.29 cnf(2657,plain, 5.41/5.29 (P5(a100,x26571,f10(a100,x26572,x26571))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2659,plain, 5.41/5.29 (E(f10(a100,f24(f24(f9(a100),f5(a100,f7(a100),f10(a100,f7(a100),f7(a100)))),x26591),f10(a100,f24(f24(f9(a100),f7(a100)),x26591),x26592)),x26592)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948])). 5.41/5.29 cnf(2662,plain, 5.41/5.29 (~E(f10(a1,f24(f24(f9(a1),f5(a1,x26621,x26622)),x26623),f10(a100,f10(a1,f24(f24(f9(a1),f5(a1,x26622,x26621)),x26623),x26624),f2(a100))),x26624)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960])). 5.41/5.29 cnf(2665,plain, 5.41/5.29 (P5(a100,x26651,x26651)), 5.41/5.29 inference(rename_variables,[],[537])). 5.41/5.29 cnf(2667,plain, 5.41/5.29 (P5(a100,x26671,f10(a100,f24(f24(f9(a100),f5(a100,x26672,x26672)),x26673),f10(a100,x26674,f10(a100,f24(f24(f9(a100),x26672),x26673),x26671))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,2645,2665,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991])). 5.41/5.29 cnf(2669,plain, 5.41/5.29 (P6(a100,x26691,f10(a100,f24(f24(f9(a100),f5(a100,x26692,x26692)),x26693),f10(a100,f10(a100,f24(f24(f9(a100),x26692),x26693),x26691),f2(a100))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,2645,2665,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992])). 5.41/5.29 cnf(2671,plain, 5.41/5.29 (P5(a100,f10(a100,f24(f24(f9(a100),f5(a100,f7(a100),f7(a100))),x26711),x26712),x26712)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,2645,2665,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993])). 5.41/5.29 cnf(2672,plain, 5.41/5.29 (P5(a100,x26721,x26721)), 5.41/5.29 inference(rename_variables,[],[537])). 5.41/5.29 cnf(2673,plain, 5.41/5.29 (P5(a100,f7(a100),x26731)), 5.41/5.29 inference(rename_variables,[],[546])). 5.41/5.29 cnf(2676,plain, 5.41/5.29 (~P6(a97,x26761,x26761)), 5.41/5.29 inference(rename_variables,[],[2066])). 5.41/5.29 cnf(2678,plain, 5.41/5.29 (~P5(a100,f10(a100,f10(a100,f24(f24(f9(a100),x26781),x26782),x26783),f2(a100)),f10(a100,f24(f24(f9(a100),f5(a100,x26781,x26781)),x26782),x26783))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999])). 5.41/5.29 cnf(2680,plain, 5.41/5.29 (~P6(a100,x26801,f10(a100,f24(f24(f9(a100),f5(a100,x26802,x26802)),x26803),x26801))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000])). 5.41/5.29 cnf(2683,plain, 5.41/5.29 (~P5(a100,f10(a100,f24(f24(f9(a100),f5(a100,x26831,x26831)),x26832),f10(a100,f10(a100,f24(f24(f9(a100),x26831),x26832),x26833),f2(a100))),x26833)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001])). 5.41/5.29 cnf(2685,plain, 5.41/5.29 (~P6(a100,f10(a100,f24(f24(f9(a100),f5(a100,x26851,x26851)),x26852),f10(a100,f10(a100,f24(f24(f9(a100),x26851),x26852),x26853),x26854)),x26853)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002])). 5.41/5.29 cnf(2688,plain, 5.41/5.29 (~P6(a97,x26881,x26881)), 5.41/5.29 inference(rename_variables,[],[2066])). 5.41/5.29 cnf(2691,plain, 5.41/5.29 (P5(a97,x26911,x26911)), 5.41/5.29 inference(rename_variables,[],[536])). 5.41/5.29 cnf(2693,plain, 5.41/5.29 (P5(a97,f11(a97,f7(a97)),f7(a97))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998])). 5.41/5.29 cnf(2696,plain, 5.41/5.29 (~P6(a100,x26961,f7(a100))), 5.41/5.29 inference(rename_variables,[],[654])). 5.41/5.29 cnf(2698,plain, 5.41/5.29 (~P5(a100,f8(a1,f10(a100,f8(a1,f7(a100)),f2(a100))),f7(a100))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,2393,2696,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071])). 5.41/5.29 cnf(2699,plain, 5.41/5.29 (~P6(a100,x26991,f7(a100))), 5.41/5.29 inference(rename_variables,[],[654])). 5.41/5.29 cnf(2702,plain, 5.41/5.29 (~P6(a100,x27021,f7(a100))), 5.41/5.29 inference(rename_variables,[],[654])). 5.41/5.29 cnf(2704,plain, 5.41/5.29 (P6(a97,f21(a100,f7(a100)),f10(a97,f21(a100,f20(f7(a97))),f2(a97)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266])). 5.41/5.29 cnf(2705,plain, 5.41/5.29 (P6(a97,x27051,f10(a97,f21(a100,f20(x27051)),f2(a97)))), 5.41/5.29 inference(rename_variables,[],[600])). 5.41/5.29 cnf(2711,plain, 5.41/5.29 (P6(a100,f7(a100),f10(a100,x27111,f24(f24(f13(a100),x27112),f7(a100))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,581,2303,2308,582,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269])). 5.41/5.29 cnf(2712,plain, 5.41/5.29 (P5(a100,x27121,f10(a100,x27122,x27121))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2714,plain, 5.41/5.29 (P6(a100,f5(a100,f7(a100),x27141),f24(f24(f13(a100),x27142),f7(a100)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270])). 5.41/5.29 cnf(2718,plain, 5.41/5.29 (P6(a97,x27181,f10(a97,f21(a100,f20(x27181)),f2(a97)))), 5.41/5.29 inference(rename_variables,[],[600])). 5.41/5.29 cnf(2720,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x27201),x27201)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,586,662,2204,2207,2270,605,667,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515])). 5.41/5.29 cnf(2721,plain, 5.41/5.29 (~P6(a97,x27211,x27211)), 5.41/5.29 inference(rename_variables,[],[2066])). 5.41/5.29 cnf(2722,plain, 5.41/5.29 (P6(a97,x27221,f10(a97,f21(a100,f20(x27221)),f2(a97)))), 5.41/5.29 inference(rename_variables,[],[600])). 5.41/5.29 cnf(2724,plain, 5.41/5.29 (~P6(a97,f7(a97),f10(a97,f2(a97),f22(a1,a102)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516])). 5.41/5.29 cnf(2726,plain, 5.41/5.29 (~P6(a97,f10(a97,f7(a97),x27261),x27261)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517])). 5.41/5.29 cnf(2727,plain, 5.41/5.29 (~P6(a97,x27271,x27271)), 5.41/5.29 inference(rename_variables,[],[2066])). 5.41/5.29 cnf(2728,plain, 5.41/5.29 (P5(a97,x27281,x27281)), 5.41/5.29 inference(rename_variables,[],[536])). 5.41/5.29 cnf(2731,plain, 5.41/5.29 (P5(a100,f7(a100),x27311)), 5.41/5.29 inference(rename_variables,[],[546])). 5.41/5.29 cnf(2736,plain, 5.41/5.29 (~P5(a97,f3(a97,f10(a97,x27361,f10(a97,f21(a100,f20(f2(a97))),f2(a97)))),x27361)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,2428,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663])). 5.41/5.29 cnf(2737,plain, 5.41/5.29 (~P6(a97,f10(a97,f3(a97,x27371),f2(a97)),x27371)), 5.41/5.29 inference(rename_variables,[],[668])). 5.41/5.29 cnf(2738,plain, 5.41/5.29 (P6(a97,x27381,f10(a97,f21(a100,f20(x27381)),f2(a97)))), 5.41/5.29 inference(rename_variables,[],[600])). 5.41/5.29 cnf(2749,plain, 5.41/5.29 (P5(a100,x27491,f10(a100,x27492,x27491))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2751,plain, 5.41/5.29 (P5(a97,f3(a97,f7(a97)),f21(a100,f12(f8(a97,f7(a97)))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,2712,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,596,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404])). 5.41/5.29 cnf(2755,plain, 5.41/5.29 (E(f10(a100,f5(a100,x27551,x27551),x27551),x27551)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,2712,2749,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,596,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482])). 5.41/5.29 cnf(2757,plain, 5.41/5.29 (P5(a100,x27571,f10(a100,x27572,x27571))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2759,plain, 5.41/5.29 (~P5(a100,f10(a100,f10(a100,f10(a100,x27591,f10(a100,f2(a100),f2(a100))),x27592),f2(a100)),x27591)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,537,2189,2639,2645,2665,2672,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,2712,2749,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,596,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513])). 5.41/5.29 cnf(2760,plain, 5.41/5.29 (P5(a100,f7(a100),x27601)), 5.41/5.29 inference(rename_variables,[],[546])). 5.41/5.29 cnf(2763,plain, 5.41/5.29 (P5(a100,x27631,x27631)), 5.41/5.29 inference(rename_variables,[],[537])). 5.41/5.29 cnf(2766,plain, 5.41/5.29 (P5(a100,x27661,x27661)), 5.41/5.29 inference(rename_variables,[],[537])). 5.41/5.29 cnf(2768,plain, 5.41/5.29 (~P6(a97,f24(f24(f9(a97),f5(a97,x27681,x27681)),x27682),f7(a97))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,538,2230,2300,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,2712,2749,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,654,2393,2696,2699,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,596,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560])). 5.41/5.29 cnf(2772,plain, 5.41/5.29 (P5(a100,x27721,f10(a100,x27722,x27721))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2775,plain, 5.41/5.29 (P5(a98,x27751,x27751)), 5.41/5.29 inference(rename_variables,[],[538])). 5.41/5.29 cnf(2777,plain, 5.41/5.29 (E(f24(x27771,f92(f24(x27771,f7(a100)),x27771,f7(a100))),f24(x27771,f7(a100)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,538,2230,2300,2572,2775,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,654,2393,2696,2699,2702,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,596,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795])). 5.41/5.29 cnf(2779,plain, 5.41/5.29 (P5(a98,x27791,x27791)), 5.41/5.29 inference(rename_variables,[],[538])). 5.41/5.29 cnf(2780,plain, 5.41/5.29 (~P6(a100,x27801,f7(a100))), 5.41/5.29 inference(rename_variables,[],[654])). 5.41/5.29 cnf(2782,plain, 5.41/5.29 (E(f24(x27821,f59(f24(x27821,f7(a100)),x27821,f7(a100))),f24(x27821,f7(a100)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,538,2230,2300,2572,2775,2779,651,2235,2267,2316,2319,2614,2064,567,2227,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,654,2393,2696,2699,2702,2780,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,596,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796])). 5.41/5.29 cnf(2784,plain, 5.41/5.29 (P5(a98,x27841,x27841)), 5.41/5.29 inference(rename_variables,[],[538])). 5.41/5.29 cnf(2785,plain, 5.41/5.29 (~P6(a100,x27851,f7(a100))), 5.41/5.29 inference(rename_variables,[],[654])). 5.41/5.29 cnf(2789,plain, 5.41/5.29 (P5(a98,x27891,x27891)), 5.41/5.29 inference(rename_variables,[],[538])). 5.41/5.29 cnf(2790,plain, 5.41/5.29 (~P6(a100,x27901,f7(a100))), 5.41/5.29 inference(rename_variables,[],[654])). 5.41/5.29 cnf(2794,plain, 5.41/5.29 (P5(a98,x27941,x27941)), 5.41/5.29 inference(rename_variables,[],[538])). 5.41/5.29 cnf(2801,plain, 5.41/5.29 (P5(a100,f7(a100),x28011)), 5.41/5.29 inference(rename_variables,[],[546])). 5.41/5.29 cnf(2802,plain, 5.41/5.29 (P5(a100,x28021,f10(a100,x28022,x28021))), 5.41/5.29 inference(rename_variables,[],[580])). 5.41/5.29 cnf(2806,plain, 5.41/5.29 (P5(a100,f7(a100),x28061)), 5.41/5.29 inference(rename_variables,[],[546])). 5.41/5.29 cnf(2808,plain, 5.41/5.29 (E(f10(a100,f12(f7(a97)),f24(f24(f9(a100),f7(a100)),f7(a100))),f7(a100))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369])). 5.41/5.29 cnf(2813,plain, 5.41/5.29 (E(f24(f24(f13(a1),f7(a1)),f10(a100,f7(a100),f2(a100))),f7(a1))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076])). 5.41/5.29 cnf(2818,plain, 5.41/5.29 (P5(a98,x28181,x28181)), 5.41/5.29 inference(rename_variables,[],[538])). 5.41/5.29 cnf(2820,plain, 5.41/5.29 (~E(f10(a97,f21(a100,f20(f7(a97))),f2(a97)),f7(a97))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735])). 5.41/5.29 cnf(2822,plain, 5.41/5.29 (~E(f24(f24(f13(a98),f3(a98,x28221)),f7(a100)),f7(a98))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736])). 5.41/5.29 cnf(2832,plain, 5.41/5.29 (~E(f7(a97),f2(a97))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12])). 5.41/5.29 cnf(2841,plain, 5.41/5.29 (P5(a97,f7(a97),f3(a97,f2(a97)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953])). 5.41/5.29 cnf(2863,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x28631)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228])). 5.41/5.29 cnf(2865,plain, 5.41/5.29 (~P6(a100,x28651,f5(a100,f2(a100),f2(a100)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326])). 5.41/5.29 cnf(2867,plain, 5.41/5.29 (~P6(a98,x28671,f8(a98,f10(a98,f8(a98,f10(a98,x28671,f2(a98))),f2(a98))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328])). 5.41/5.29 cnf(2869,plain, 5.41/5.29 (P5(a100,f24(f24(f13(a100),x28691),f7(a100)),f24(f24(f13(a100),x28692),f7(a100)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415])). 5.41/5.29 cnf(2871,plain, 5.41/5.29 (P5(a97,f3(a97,f24(f24(f9(a97),a104),a105)),f8(a97,f10(a97,f2(a97),f22(a1,a102))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457])). 5.41/5.29 cnf(2873,plain, 5.41/5.29 (~P5(a100,f10(a100,f24(f24(f9(a100),f7(a100)),x28731),f2(a100)),f24(f24(f9(a100),f5(a100,f7(a100),f7(a100))),x28731))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505])). 5.41/5.29 cnf(2881,plain, 5.41/5.29 (P6(a97,x28811,f10(a97,f21(a100,f20(f3(a97,f5(a97,f21(a100,f7(a100)),x28811)))),f2(a97)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505,1507,1911,1036,1451])). 5.41/5.29 cnf(2887,plain, 5.41/5.29 (~P6(f10(a100,f24(f24(f9(a100),f5(a100,a100,a100)),x28871),a97),f10(a97,f21(a100,f20(f7(a97))),f2(a97)),f7(a97))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505,1507,1911,1036,1451,1719,1125,1129])). 5.41/5.29 cnf(2889,plain, 5.41/5.29 (~P6(a98,f10(a98,f8(a98,f10(a98,f8(a98,x28891),f2(a98))),f2(a98)),x28891)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505,1507,1911,1036,1451,1719,1125,1129,1191])). 5.41/5.29 cnf(2893,plain, 5.41/5.29 (~E(f24(f24(f9(a97),f5(a97,x28931,x28932)),x28933),f10(a97,f24(f24(f9(a97),f5(a97,x28931,x28932)),x28933),f10(a97,f21(a100,f20(f7(a97))),f2(a97))))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505,1507,1911,1036,1451,1719,1125,1129,1191,1350,1959])). 5.41/5.29 cnf(2900,plain, 5.41/5.29 (~P5(a98,f8(a98,f8(a98,f2(a98))),f8(a98,f2(a98)))), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,601,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505,1507,1911,1036,1451,1719,1125,1129,1191,1350,1959,1075,1107,1180])). 5.41/5.29 cnf(2906,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x29061,f2(a100)),x29062),x29062),x29061)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,465,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,601,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505,1507,1911,1036,1451,1719,1125,1129,1191,1350,1959,1075,1107,1180,1351,1529,1530])). 5.41/5.29 cnf(2911,plain, 5.41/5.29 (~P6(a98,f8(a98,f10(a98,f8(a98,f10(a98,x29111,f2(a98))),f2(a98))),x29111)), 5.41/5.29 inference(scs_inference,[],[669,600,2180,2186,2337,2348,2351,2357,2648,2705,2718,2722,2738,2078,2020,2066,2168,2396,2405,2408,2411,2420,2435,2438,2676,2688,2721,2727,2068,2198,2224,2276,2279,2355,2399,2402,2097,2094,2119,2082,536,2215,2218,2238,2241,2244,2445,2599,2603,2606,2691,2728,537,2189,2639,2645,2665,2672,2763,2766,538,2230,2300,2572,2775,2779,2784,2789,2794,2818,651,2235,2267,2316,2319,2614,2064,567,2227,2297,580,2288,2291,2593,2596,2633,2657,2712,2749,2757,2772,2802,581,2303,2308,582,2600,583,2210,2561,664,2183,2252,2261,2264,2273,546,2562,2673,2731,2760,2801,2806,654,2393,2696,2699,2702,2780,2785,2790,562,2558,311,313,314,318,321,324,325,326,327,328,331,332,334,337,338,339,341,343,347,351,352,355,356,359,362,364,365,366,367,369,370,371,374,377,378,379,380,384,387,388,389,390,393,396,399,403,407,414,416,417,420,423,424,427,430,434,437,440,443,444,447,449,452,455,458,462,464,465,467,468,470,473,476,478,479,481,484,487,490,491,494,497,498,501,505,508,512,516,519,648,529,2177,2452,2471,563,2247,2322,587,2623,2626,666,2255,2258,2313,2632,629,2294,584,2221,2565,668,2285,2428,2737,548,550,656,2201,2359,2441,2528,2546,2549,2569,2592,2651,604,577,542,643,596,535,576,586,662,2204,2207,2270,601,605,667,602,646,2656,1376,788,842,883,888,889,1030,1053,1095,1460,1518,2048,2157,2,9,843,897,910,911,913,914,919,920,1041,1050,1052,1090,1098,1100,1112,1122,1123,1205,1206,1227,1288,1290,1292,1294,1295,1303,1319,1322,1323,1362,1378,1400,1401,1402,1414,1417,1421,1496,1497,1510,1595,1596,1598,1620,1703,1704,1713,2110,2154,988,1165,1181,1202,1204,1473,1721,1856,226,227,228,771,773,811,812,814,821,845,904,905,927,928,944,1055,1057,1085,1124,1174,1179,1200,1201,1216,1222,1223,1239,1335,1470,1471,1484,1533,1534,1961,1996,2004,3,225,229,230,231,232,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,256,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,756,764,766,767,768,772,844,871,937,938,947,948,963,978,979,980,1039,1058,1105,1106,1118,1152,1164,1170,1178,1199,1203,1214,1218,1220,1234,1238,1344,1345,1360,1379,1409,1427,1468,1469,1472,1479,1480,1495,1500,1642,1643,1645,1724,1725,1857,1943,1944,1947,1948,1960,1962,1991,1992,1993,1998,1999,2000,2001,2002,2006,2009,998,1065,1071,1072,1266,1267,1268,1269,1270,1271,1515,1516,1517,1149,1662,1663,1664,1901,1145,1404,1482,1513,1514,1559,1560,1661,1765,1795,1796,1831,1832,1749,1392,1393,1369,2076,1802,735,736,786,789,1019,1096,12,17,44,794,864,906,953,954,955,976,1010,1024,1025,1049,1088,1099,1141,1228,1326,1328,1415,1457,1505,1507,1911,1036,1451,1719,1125,1129,1191,1350,1959,1075,1107,1180,1351,1529,1530,1563,1646])). 5.41/5.29 cnf(2932,plain, 5.41/5.29 (~P5(a98,f10(a98,x29321,f2(a98)),x29321)), 5.41/5.29 inference(rename_variables,[],[2275])). 5.41/5.29 cnf(2938,plain, 5.41/5.29 (P6(a98,f5(a98,x29381,f2(a98)),x29381)), 5.41/5.29 inference(rename_variables,[],[2299])). 5.41/5.29 cnf(2944,plain, 5.41/5.29 (E(f10(a100,f24(f24(f9(a100),f5(a100,x29441,x29441)),x29442),x29443),x29443)), 5.41/5.29 inference(rename_variables,[],[2332])). 5.41/5.29 cnf(2949,plain, 5.41/5.29 (P5(a98,x29491,f3(a98,x29491))), 5.41/5.29 inference(rename_variables,[],[2571])). 5.41/5.29 cnf(2959,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x29591),x29591)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(2968,plain, 5.41/5.29 (P6(a97,x29681,f21(a100,f20(f10(a97,x29681,f2(a97)))))), 5.41/5.29 inference(rename_variables,[],[2347])). 5.41/5.29 cnf(2971,plain, 5.41/5.29 (P6(a97,x29711,f10(a97,x29712,f10(a97,f21(a100,f20(f3(a97,f5(a97,x29711,x29712)))),f2(a97))))), 5.41/5.29 inference(rename_variables,[],[2350])). 5.41/5.29 cnf(2974,plain, 5.41/5.29 (P5(a100,x29741,f12(f21(a100,f10(a100,x29741,x29742))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(2979,plain, 5.41/5.29 (~E(f10(a100,x29791,f10(a100,x29791,f2(a100))),x29791)), 5.41/5.29 inference(rename_variables,[],[2415])). 5.41/5.29 cnf(2988,plain, 5.41/5.29 (~P5(a98,x29881,f8(a98,f10(a98,f8(a98,x29881),f2(a98))))), 5.41/5.29 inference(rename_variables,[],[2582])). 5.41/5.29 cnf(2995,plain, 5.41/5.29 (~P6(a100,f5(a100,f10(a100,x29951,x29952),x29952),x29951)), 5.41/5.29 inference(rename_variables,[],[2430])). 5.41/5.29 cnf(3000,plain, 5.41/5.29 (P5(a97,x30001,f3(a97,x30001))), 5.41/5.29 inference(rename_variables,[],[2237])). 5.41/5.29 cnf(3005,plain, 5.41/5.29 (P6(a97,x30051,f21(a100,f20(f10(a97,x30051,f2(a97)))))), 5.41/5.29 inference(rename_variables,[],[2347])). 5.41/5.29 cnf(3008,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x30081,f2(a100)),x30082),x30082),x30081)), 5.41/5.29 inference(rename_variables,[],[2906])). 5.41/5.29 cnf(3011,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x30111,f2(a100)),x30112),x30112),x30111)), 5.41/5.29 inference(rename_variables,[],[2906])). 5.41/5.29 cnf(3014,plain, 5.41/5.29 (~P6(a98,f10(a98,f8(a98,f10(a98,f8(a98,x30141),f2(a98))),f2(a98)),x30141)), 5.41/5.29 inference(rename_variables,[],[2889])). 5.41/5.29 cnf(3017,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x30171),x30171)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3029,plain, 5.41/5.29 (~P6(a100,f5(a100,f10(a100,x30291,x30292),x30292),x30291)), 5.41/5.29 inference(rename_variables,[],[2430])). 5.41/5.29 cnf(3037,plain, 5.41/5.29 (E(f5(a100,f10(a100,x30371,x30372),x30371),x30372)), 5.41/5.29 inference(rename_variables,[],[585])). 5.41/5.29 cnf(3042,plain, 5.41/5.29 (~P6(a100,f5(a100,f10(a100,x30421,x30422),x30422),x30421)), 5.41/5.29 inference(rename_variables,[],[2430])). 5.41/5.29 cnf(3045,plain, 5.41/5.29 (~P6(a100,f5(a100,f10(a100,x30451,x30452),x30452),x30451)), 5.41/5.29 inference(rename_variables,[],[2430])). 5.41/5.29 cnf(3048,plain, 5.41/5.29 (P5(a100,x30481,f12(f21(a100,f10(a100,x30481,x30482))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3051,plain, 5.41/5.29 (E(x30511,f10(a100,f24(f24(f9(a100),f5(a100,x30512,x30512)),x30513),x30511))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3054,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x30541,f2(a100)),x30542),x30542),x30541)), 5.41/5.29 inference(rename_variables,[],[2906])). 5.41/5.29 cnf(3057,plain, 5.41/5.29 (~P6(a100,f5(a100,f10(a100,x30571,x30572),x30572),x30571)), 5.41/5.29 inference(rename_variables,[],[2430])). 5.41/5.29 cnf(3060,plain, 5.41/5.29 (E(f10(a98,f7(a98),x30601),x30601)), 5.41/5.29 inference(rename_variables,[],[551])). 5.41/5.29 cnf(3063,plain, 5.41/5.29 (E(f10(a100,f24(f24(f9(a100),x30631),x30632),x30633),f10(a100,f24(f24(f9(a100),x30631),x30632),f10(a100,f24(f24(f9(a100),f5(a100,x30631,x30631)),x30632),x30633)))), 5.41/5.29 inference(rename_variables,[],[2193])). 5.41/5.29 cnf(3066,plain, 5.41/5.29 (~P6(a100,x30661,f5(a100,x30661,x30662))), 5.41/5.29 inference(rename_variables,[],[2266])). 5.41/5.29 cnf(3069,plain, 5.41/5.29 (~P6(a98,f10(a98,f8(a98,f10(a98,f8(a98,x30691),f2(a98))),f2(a98)),x30691)), 5.41/5.29 inference(rename_variables,[],[2889])). 5.41/5.29 cnf(3072,plain, 5.41/5.29 (P5(a100,x30721,f12(f21(a100,f10(a100,x30721,x30722))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3075,plain, 5.41/5.29 (P6(a100,x30751,f10(a100,f10(a100,x30751,x30752),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[630])). 5.41/5.29 cnf(3084,plain, 5.41/5.29 (~P6(a98,f10(a98,f8(a98,f10(a98,f8(a98,x30841),f2(a98))),f2(a98)),x30841)), 5.41/5.29 inference(rename_variables,[],[2889])). 5.41/5.29 cnf(3087,plain, 5.41/5.29 (E(x30871,f10(a100,f24(f24(f9(a100),f5(a100,x30872,x30872)),x30873),x30871))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3092,plain, 5.41/5.29 (E(x30921,f10(a100,f24(f24(f9(a100),f5(a100,x30922,x30922)),x30923),x30921))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3101,plain, 5.41/5.29 (~P6(a100,f5(a100,f10(a100,x31011,x31012),x31012),x31011)), 5.41/5.29 inference(rename_variables,[],[2430])). 5.41/5.29 cnf(3104,plain, 5.41/5.29 (P5(a100,x31041,f12(f21(a100,f10(a100,x31041,x31042))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3111,plain, 5.41/5.29 (~P6(a100,f5(a100,f10(a100,x31111,x31112),x31112),x31111)), 5.41/5.29 inference(rename_variables,[],[2430])). 5.41/5.29 cnf(3116,plain, 5.41/5.29 (P5(a100,x31161,f12(f21(a100,f10(a100,x31161,x31162))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3129,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x31291,f2(a100)),x31292),x31292),x31291)), 5.41/5.29 inference(rename_variables,[],[2906])). 5.41/5.29 cnf(3142,plain, 5.41/5.29 (~E(f10(a1,f24(f24(f9(a1),f5(a1,x31421,x31422)),x31423),f10(a100,f10(a1,f24(f24(f9(a1),f5(a1,x31422,x31421)),x31423),x31424),f2(a100))),x31424)), 5.41/5.29 inference(rename_variables,[],[2662])). 5.41/5.29 cnf(3154,plain, 5.41/5.29 (E(x31541,f10(a100,f24(f24(f9(a100),f5(a100,x31542,x31542)),x31543),x31541))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3156,plain, 5.41/5.29 (E(x31561,f10(a100,f24(f24(f9(a100),f5(a100,x31562,x31562)),x31563),x31561))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3157,plain, 5.41/5.29 (~E(f10(a100,x31571,f2(a100)),x31571)), 5.41/5.29 inference(rename_variables,[],[656])). 5.41/5.29 cnf(3160,plain, 5.41/5.29 (~P5(a98,x31601,f8(a98,f10(a98,f8(a98,x31601),f2(a98))))), 5.41/5.29 inference(rename_variables,[],[2582])). 5.41/5.29 cnf(3163,plain, 5.41/5.29 (~P5(a98,x31631,f8(a98,f10(a98,f8(a98,x31631),f2(a98))))), 5.41/5.29 inference(rename_variables,[],[2582])). 5.41/5.29 cnf(3168,plain, 5.41/5.29 (P5(a98,x31681,f3(a98,x31681))), 5.41/5.29 inference(rename_variables,[],[2571])). 5.41/5.29 cnf(3171,plain, 5.41/5.29 (E(f24(x31711,f92(f24(x31711,f7(a100)),x31711,f7(a100))),f24(x31711,f7(a100)))), 5.41/5.29 inference(rename_variables,[],[2777])). 5.41/5.29 cnf(3174,plain, 5.41/5.29 (E(f10(a100,f24(f24(f9(a100),f5(a100,f7(a100),f10(a100,f7(a100),f7(a100)))),x31741),f10(a100,f24(f24(f9(a100),f7(a100)),x31741),x31742)),x31742)), 5.41/5.29 inference(rename_variables,[],[2659])). 5.41/5.29 cnf(3177,plain, 5.41/5.29 (P6(a98,f5(a98,x31771,f2(a98)),x31771)), 5.41/5.29 inference(rename_variables,[],[2299])). 5.41/5.29 cnf(3180,plain, 5.41/5.29 (P6(a98,x31801,f10(a98,x31801,f2(a98)))), 5.41/5.29 inference(rename_variables,[],[2097])). 5.41/5.29 cnf(3183,plain, 5.41/5.29 (~P5(a98,f10(a98,x31831,f2(a98)),x31831)), 5.41/5.29 inference(rename_variables,[],[2275])). 5.41/5.29 cnf(3195,plain, 5.41/5.29 (E(f24(x31951,f92(f24(x31951,f7(a100)),x31951,f7(a100))),f24(x31951,f7(a100)))), 5.41/5.29 inference(rename_variables,[],[2777])). 5.41/5.29 cnf(3196,plain, 5.41/5.29 (~E(x31961,f10(a100,x31962,f10(a100,x31961,f2(a100))))), 5.41/5.29 inference(rename_variables,[],[2182])). 5.41/5.29 cnf(3206,plain, 5.41/5.29 (P6(a98,f5(a98,x32061,f2(a98)),x32061)), 5.41/5.29 inference(rename_variables,[],[2299])). 5.41/5.29 cnf(3209,plain, 5.41/5.29 (~P6(a98,x32091,f8(a98,f10(a98,f8(a98,f10(a98,x32091,f2(a98))),f2(a98))))), 5.41/5.29 inference(rename_variables,[],[2867])). 5.41/5.29 cnf(3212,plain, 5.41/5.29 (P6(a98,x32121,f10(a98,x32121,f2(a98)))), 5.41/5.29 inference(rename_variables,[],[2097])). 5.41/5.29 cnf(3222,plain, 5.41/5.29 (P5(a100,x32221,f12(f21(a100,f10(a100,x32221,x32222))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3227,plain, 5.41/5.29 (P6(a97,x32271,f10(a97,x32272,f10(a97,f21(a100,f20(f3(a97,f5(a97,x32271,x32272)))),f2(a97))))), 5.41/5.29 inference(rename_variables,[],[2350])). 5.41/5.29 cnf(3232,plain, 5.41/5.29 (P6(a97,x32321,f21(a100,f20(f10(a97,x32321,f2(a97)))))), 5.41/5.29 inference(rename_variables,[],[2347])). 5.41/5.29 cnf(3238,plain, 5.41/5.29 (~E(f10(a100,x32381,f10(a100,x32381,f2(a100))),x32381)), 5.41/5.29 inference(rename_variables,[],[2415])). 5.41/5.29 cnf(3241,plain, 5.41/5.29 (~E(x32411,f10(a100,x32412,f10(a100,x32411,f2(a100))))), 5.41/5.29 inference(rename_variables,[],[2182])). 5.41/5.29 cnf(3255,plain, 5.41/5.29 (P15(f10(a100,f24(f24(f9(a100),f5(a100,x32551,x32551)),x32552),a97))), 5.41/5.29 inference(rename_variables,[],[2449])). 5.41/5.29 cnf(3258,plain, 5.41/5.29 (~P6(a98,f8(a98,f10(a98,f8(a98,f10(a98,x32581,f2(a98))),f2(a98))),x32581)), 5.41/5.29 inference(rename_variables,[],[2911])). 5.41/5.29 cnf(3261,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x32611),x32611)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3266,plain, 5.41/5.29 (~E(x32661,f10(a100,x32662,f10(a100,x32661,f2(a100))))), 5.41/5.29 inference(rename_variables,[],[2182])). 5.41/5.29 cnf(3270,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x32701)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3273,plain, 5.41/5.29 (E(f10(a98,f7(a98),x32731),x32731)), 5.41/5.29 inference(rename_variables,[],[551])). 5.41/5.29 cnf(3278,plain, 5.41/5.29 (~P6(a97,x32781,f10(a97,f24(f24(f9(a97),f5(a97,x32782,x32782)),x32783),x32781))), 5.41/5.29 inference(rename_variables,[],[2437])). 5.41/5.29 cnf(3281,plain, 5.41/5.29 (~E(f10(a100,x32811,f10(a100,x32811,f2(a100))),x32811)), 5.41/5.29 inference(rename_variables,[],[2415])). 5.41/5.29 cnf(3288,plain, 5.41/5.29 (~E(f10(a100,x32881,f10(a100,x32881,f2(a100))),x32881)), 5.41/5.29 inference(rename_variables,[],[2415])). 5.41/5.29 cnf(3291,plain, 5.41/5.29 (~E(f10(a100,x32911,f10(a100,x32911,f2(a100))),x32911)), 5.41/5.29 inference(rename_variables,[],[2415])). 5.41/5.29 cnf(3294,plain, 5.41/5.29 (~E(x32941,f10(a100,x32942,f10(a100,x32941,f2(a100))))), 5.41/5.29 inference(rename_variables,[],[2182])). 5.41/5.29 cnf(3299,plain, 5.41/5.29 (P5(a97,f7(a97),f21(a100,x32991))), 5.41/5.29 inference(rename_variables,[],[562])). 5.41/5.29 cnf(3311,plain, 5.41/5.29 (~E(f10(a100,x33111,f10(a100,x33111,f2(a100))),x33111)), 5.41/5.29 inference(rename_variables,[],[2415])). 5.41/5.29 cnf(3312,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x33121)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3315,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x33151)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3318,plain, 5.41/5.29 (P6(a97,x33181,f21(a100,f20(f10(a97,x33181,f2(a97)))))), 5.41/5.29 inference(rename_variables,[],[2347])). 5.41/5.29 cnf(3321,plain, 5.41/5.29 (P5(a97,x33211,f3(a97,x33211))), 5.41/5.29 inference(rename_variables,[],[2237])). 5.41/5.29 cnf(3324,plain, 5.41/5.29 (P6(a100,x33241,f10(a100,f10(a100,x33241,x33242),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[630])). 5.41/5.29 cnf(3329,plain, 5.41/5.29 (P6(a100,x33291,f10(a100,f10(a100,x33291,x33292),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[630])). 5.41/5.29 cnf(3332,plain, 5.41/5.29 (P6(a100,f24(f24(f13(a100),x33321),f7(a100)),f10(a100,f24(f24(f13(a100),x33322),f7(a100)),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[2425])). 5.41/5.29 cnf(3335,plain, 5.41/5.29 (P6(a100,f24(f24(f13(a100),x33351),f7(a100)),f10(a100,f24(f24(f13(a100),x33352),f7(a100)),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[2425])). 5.41/5.29 cnf(3338,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x33381,f2(a100)),x33382),x33382),x33381)), 5.41/5.29 inference(rename_variables,[],[2906])). 5.41/5.29 cnf(3341,plain, 5.41/5.29 (~P6(a100,x33411,f5(a100,f2(a100),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[2865])). 5.41/5.29 cnf(3342,plain, 5.41/5.29 (P5(a100,x33421,f12(f21(a100,f10(a100,x33421,x33422))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3345,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x33451,f2(a100)),x33452),x33452),x33451)), 5.41/5.29 inference(rename_variables,[],[2906])). 5.41/5.29 cnf(3348,plain, 5.41/5.29 (P6(a97,x33481,f21(a100,f20(f10(a97,x33481,f2(a97)))))), 5.41/5.29 inference(rename_variables,[],[2347])). 5.41/5.29 cnf(3364,plain, 5.41/5.29 (~P6(a97,x33641,f10(a97,f24(f24(f9(a97),f5(a97,x33642,x33642)),x33643),x33641))), 5.41/5.29 inference(rename_variables,[],[2437])). 5.41/5.29 cnf(3367,plain, 5.41/5.29 (P5(f10(a100,f24(f24(f9(a100),f5(a100,x33671,x33671)),x33672),a97),x33673,x33673)), 5.41/5.29 inference(rename_variables,[],[2443])). 5.41/5.29 cnf(3370,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x33701),x33701)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3382,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x33821),x33821)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3397,plain, 5.41/5.29 (~P5(a97,f3(a97,f10(a97,x33971,f10(a97,f21(a100,f20(f2(a97))),f2(a97)))),x33971)), 5.41/5.29 inference(rename_variables,[],[2736])). 5.41/5.29 cnf(3400,plain, 5.41/5.29 (~P5(a98,x34001,f8(a98,f10(a98,f8(a98,x34001),f2(a98))))), 5.41/5.29 inference(rename_variables,[],[2582])). 5.41/5.29 cnf(3403,plain, 5.41/5.29 (~P5(a98,x34031,f8(a98,f10(a98,f8(a98,x34031),f2(a98))))), 5.41/5.29 inference(rename_variables,[],[2582])). 5.41/5.29 cnf(3406,plain, 5.41/5.29 (~P5(a98,x34061,f8(a98,f10(a98,f8(a98,x34061),f2(a98))))), 5.41/5.29 inference(rename_variables,[],[2582])). 5.41/5.29 cnf(3409,plain, 5.41/5.29 (P5(a100,x34091,f12(f21(a100,f10(a100,x34091,x34092))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3412,plain, 5.41/5.29 (~P5(a97,f3(a97,f10(a97,x34121,f10(a97,f21(a100,f20(f2(a97))),f2(a97)))),x34121)), 5.41/5.29 inference(rename_variables,[],[2736])). 5.41/5.29 cnf(3415,plain, 5.41/5.29 (~P5(a100,f10(a100,f5(a100,f10(a100,x34151,f2(a100)),x34152),x34152),x34151)), 5.41/5.29 inference(rename_variables,[],[2906])). 5.41/5.29 cnf(3419,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x34191)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3430,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x34301),x34301)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3433,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x34331),x34331)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3436,plain, 5.41/5.29 (~P6(a98,x34361,x34361)), 5.41/5.29 inference(rename_variables,[],[2068])). 5.41/5.29 cnf(3447,plain, 5.41/5.29 (~P6(a100,x34471,f5(a100,x34471,x34472))), 5.41/5.29 inference(rename_variables,[],[2266])). 5.41/5.29 cnf(3448,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x34481)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3451,plain, 5.41/5.29 (P5(a100,f12(f21(a100,x34511)),x34511)), 5.41/5.29 inference(rename_variables,[],[2243])). 5.41/5.29 cnf(3452,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x34521)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3455,plain, 5.41/5.29 (~P5(a97,f3(a97,f10(a97,x34551,f10(a97,f21(a100,f20(f2(a97))),f2(a97)))),x34551)), 5.41/5.29 inference(rename_variables,[],[2736])). 5.41/5.29 cnf(3462,plain, 5.41/5.29 (P5(a98,x34621,f3(a98,x34621))), 5.41/5.29 inference(rename_variables,[],[2571])). 5.41/5.29 cnf(3468,plain, 5.41/5.29 (P6(a97,f5(a97,x34681,f10(a97,f21(a100,f20(f3(a97,f5(a97,x34682,x34681)))),f2(a97))),x34682)), 5.41/5.29 inference(rename_variables,[],[2647])). 5.41/5.29 cnf(3489,plain, 5.41/5.29 (E(x34891,f10(a100,f24(f24(f9(a100),f5(a100,x34892,x34892)),x34893),x34891))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3490,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x34901)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3494,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x34941)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3498,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x34981)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3508,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x35081),x35081)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3518,plain, 5.41/5.29 (~P5(a97,f3(a97,f10(a97,x35181,f10(a97,f21(a100,f20(f2(a97))),f2(a97)))),x35181)), 5.41/5.29 inference(rename_variables,[],[2736])). 5.41/5.29 cnf(3521,plain, 5.41/5.29 (E(x35211,f10(a100,f24(f24(f9(a100),f5(a100,x35212,x35212)),x35213),x35211))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3522,plain, 5.41/5.29 (P6(a100,f7(a100),f10(a100,x35221,f24(f24(f13(a100),x35222),f7(a100))))), 5.41/5.29 inference(rename_variables,[],[2711])). 5.41/5.29 cnf(3526,plain, 5.41/5.29 (~P6(a100,x35261,f5(a100,f2(a100),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[2865])). 5.41/5.29 cnf(3534,plain, 5.41/5.29 (~P6(a100,f10(a100,f10(a100,x35341,x35342),f2(a100)),x35341)), 5.41/5.29 inference(rename_variables,[],[2386])). 5.41/5.29 cnf(3544,plain, 5.41/5.29 (~P6(a100,x35441,f5(a100,f2(a100),f2(a100)))), 5.41/5.29 inference(rename_variables,[],[2865])). 5.41/5.29 cnf(3547,plain, 5.41/5.29 (E(x35471,f10(a100,f24(f24(f9(a100),f5(a100,x35472,x35472)),x35473),x35471))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3553,plain, 5.41/5.29 (E(x35531,f10(a100,f24(f24(f9(a100),f5(a100,x35532,x35532)),x35533),x35531))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3555,plain, 5.41/5.29 (E(x35551,f10(a100,f24(f24(f9(a100),f5(a100,x35552,x35552)),x35553),x35551))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3557,plain, 5.41/5.29 (~P5(a97,f3(a97,f10(a97,x35571,f10(a97,f21(a100,f20(f2(a97))),f2(a97)))),x35571)), 5.41/5.29 inference(rename_variables,[],[2736])). 5.41/5.29 cnf(3559,plain, 5.41/5.29 (E(x35591,f10(a100,f24(f24(f9(a100),f5(a100,x35592,x35592)),x35593),x35591))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3561,plain, 5.41/5.29 (E(x35611,f10(a100,f24(f24(f9(a100),f5(a100,x35612,x35612)),x35613),x35611))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3563,plain, 5.41/5.29 (E(x35631,f10(a100,f24(f24(f9(a100),f5(a100,x35632,x35632)),x35633),x35631))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3565,plain, 5.41/5.29 (E(f10(a98,f7(a98),x35651),x35651)), 5.41/5.29 inference(rename_variables,[],[551])). 5.41/5.29 cnf(3567,plain, 5.41/5.29 (E(x35671,f10(a100,f24(f24(f9(a100),f5(a100,x35672,x35672)),x35673),x35671))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3569,plain, 5.41/5.29 (E(x35691,f10(a100,f24(f24(f9(a100),f5(a100,x35692,x35692)),x35693),x35691))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3571,plain, 5.41/5.29 (E(x35711,f10(a100,f24(f24(f9(a100),f5(a100,x35712,x35712)),x35713),x35711))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3573,plain, 5.41/5.29 (E(x35731,f10(a100,f24(f24(f9(a100),f5(a100,x35732,x35732)),x35733),x35731))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3575,plain, 5.41/5.29 (E(x35751,f10(a100,f24(f24(f9(a100),f5(a100,x35752,x35752)),x35753),x35751))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3577,plain, 5.41/5.29 (E(x35771,f10(a100,f24(f24(f9(a100),f5(a100,x35772,x35772)),x35773),x35771))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3579,plain, 5.41/5.29 (E(x35791,f10(a100,f24(f24(f9(a100),f5(a100,x35792,x35792)),x35793),x35791))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3581,plain, 5.41/5.29 (E(x35811,f10(a100,f24(f24(f9(a100),f5(a100,x35812,x35812)),x35813),x35811))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3583,plain, 5.41/5.29 (E(x35831,f10(a100,f24(f24(f9(a100),f5(a100,x35832,x35832)),x35833),x35831))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3585,plain, 5.41/5.29 (E(x35851,f10(a100,f24(f24(f9(a100),f5(a100,x35852,x35852)),x35853),x35851))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3587,plain, 5.41/5.29 (E(x35871,f10(a100,f24(f24(f9(a100),f5(a100,x35872,x35872)),x35873),x35871))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3589,plain, 5.41/5.29 (E(x35891,f10(a100,f24(f24(f9(a100),f5(a100,x35892,x35892)),x35893),x35891))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3591,plain, 5.41/5.29 (E(x35911,f10(a100,f24(f24(f9(a100),f5(a100,x35912,x35912)),x35913),x35911))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3593,plain, 5.41/5.29 (E(x35931,f10(a100,f24(f24(f9(a100),f5(a100,x35932,x35932)),x35933),x35931))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3595,plain, 5.41/5.29 (E(x35951,f10(a100,f24(f24(f9(a100),f5(a100,x35952,x35952)),x35953),x35951))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3597,plain, 5.41/5.29 (E(x35971,f10(a100,f24(f24(f9(a100),f5(a100,x35972,x35972)),x35973),x35971))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3599,plain, 5.41/5.29 (E(f10(a98,f7(a98),x35991),x35991)), 5.41/5.29 inference(rename_variables,[],[551])). 5.41/5.29 cnf(3601,plain, 5.41/5.29 (E(x36011,f10(a100,f24(f24(f9(a100),f5(a100,x36012,x36012)),x36013),x36011))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3603,plain, 5.41/5.29 (E(x36031,f10(a100,f24(f24(f9(a100),f5(a100,x36032,x36032)),x36033),x36031))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3605,plain, 5.41/5.29 (E(x36051,f10(a100,f24(f24(f9(a100),f5(a100,x36052,x36052)),x36053),x36051))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3607,plain, 5.41/5.29 (E(x36071,f10(a100,f24(f24(f9(a100),f5(a100,x36072,x36072)),x36073),x36071))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3609,plain, 5.41/5.29 (E(x36091,f10(a100,f24(f24(f9(a100),f5(a100,x36092,x36092)),x36093),x36091))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3613,plain, 5.41/5.29 (E(x36131,f10(a100,f24(f24(f9(a100),f5(a100,x36132,x36132)),x36133),x36131))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3615,plain, 5.41/5.29 (E(x36151,f10(a100,f24(f24(f9(a100),f5(a100,x36152,x36152)),x36153),x36151))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3617,plain, 5.41/5.29 (E(x36171,f10(a100,f24(f24(f9(a100),f5(a100,x36172,x36172)),x36173),x36171))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3619,plain, 5.41/5.29 (E(x36191,f10(a100,f24(f24(f9(a100),f5(a100,x36192,x36192)),x36193),x36191))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3621,plain, 5.41/5.29 (E(x36211,f10(a100,f24(f24(f9(a100),f5(a100,x36212,x36212)),x36213),x36211))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3623,plain, 5.41/5.29 (E(x36231,f10(a100,f24(f24(f9(a100),f5(a100,x36232,x36232)),x36233),x36231))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3625,plain, 5.41/5.29 (E(x36251,f10(a100,f24(f24(f9(a100),f5(a100,x36252,x36252)),x36253),x36251))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3627,plain, 5.41/5.29 (E(x36271,f10(a100,f24(f24(f9(a100),f5(a100,x36272,x36272)),x36273),x36271))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3629,plain, 5.41/5.29 (E(x36291,f10(a100,f24(f24(f9(a100),f5(a100,x36292,x36292)),x36293),x36291))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3631,plain, 5.41/5.29 (E(x36311,f10(a100,f24(f24(f9(a100),f5(a100,x36312,x36312)),x36313),x36311))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3633,plain, 5.41/5.29 (E(x36331,f10(a100,f24(f24(f9(a100),f5(a100,x36332,x36332)),x36333),x36331))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3635,plain, 5.41/5.29 (E(x36351,f10(a100,f24(f24(f9(a100),f5(a100,x36352,x36352)),x36353),x36351))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3637,plain, 5.41/5.29 (E(x36371,f10(a100,f24(f24(f9(a100),f5(a100,x36372,x36372)),x36373),x36371))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3639,plain, 5.41/5.29 (E(x36391,f10(a100,f24(f24(f9(a100),f5(a100,x36392,x36392)),x36393),x36391))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3641,plain, 5.41/5.29 (E(x36411,f10(a100,f24(f24(f9(a100),f5(a100,x36412,x36412)),x36413),x36411))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3643,plain, 5.41/5.29 (E(x36431,f10(a100,f24(f24(f9(a100),f5(a100,x36432,x36432)),x36433),x36431))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3645,plain, 5.41/5.29 (E(x36451,f10(a100,f24(f24(f9(a100),f5(a100,x36452,x36452)),x36453),x36451))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3647,plain, 5.41/5.29 (E(x36471,f10(a100,f24(f24(f9(a100),f5(a100,x36472,x36472)),x36473),x36471))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3649,plain, 5.41/5.29 (E(x36491,f10(a100,f24(f24(f9(a100),f5(a100,x36492,x36492)),x36493),x36491))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3651,plain, 5.41/5.29 (E(x36511,f10(a100,f24(f24(f9(a100),f5(a100,x36512,x36512)),x36513),x36511))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3653,plain, 5.41/5.29 (E(x36531,f10(a100,f24(f24(f9(a100),f5(a100,x36532,x36532)),x36533),x36531))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3655,plain, 5.41/5.29 (E(x36551,f10(a100,f24(f24(f9(a100),f5(a100,x36552,x36552)),x36553),x36551))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3657,plain, 5.41/5.29 (E(x36571,f10(a100,f24(f24(f9(a100),f5(a100,x36572,x36572)),x36573),x36571))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3659,plain, 5.41/5.29 (E(x36591,f10(a100,f24(f24(f9(a100),f5(a100,x36592,x36592)),x36593),x36591))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3661,plain, 5.41/5.29 (E(x36611,f10(a100,f24(f24(f9(a100),f5(a100,x36612,x36612)),x36613),x36611))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3663,plain, 5.41/5.29 (E(x36631,f10(a100,f24(f24(f9(a100),f5(a100,x36632,x36632)),x36633),x36631))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3665,plain, 5.41/5.29 (E(x36651,f10(a100,f24(f24(f9(a100),f5(a100,x36652,x36652)),x36653),x36651))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3667,plain, 5.41/5.29 (E(x36671,f10(a100,f24(f24(f9(a100),f5(a100,x36672,x36672)),x36673),x36671))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3669,plain, 5.41/5.29 (E(x36691,f10(a100,f24(f24(f9(a100),f5(a100,x36692,x36692)),x36693),x36691))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3671,plain, 5.41/5.29 (E(x36711,f10(a100,f24(f24(f9(a100),f5(a100,x36712,x36712)),x36713),x36711))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3673,plain, 5.41/5.29 (E(x36731,f10(a100,f24(f24(f9(a100),f5(a100,x36732,x36732)),x36733),x36731))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3675,plain, 5.41/5.29 (E(x36751,f10(a100,f24(f24(f9(a100),f5(a100,x36752,x36752)),x36753),x36751))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3677,plain, 5.41/5.29 (E(x36771,f10(a100,f24(f24(f9(a100),f5(a100,x36772,x36772)),x36773),x36771))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3679,plain, 5.41/5.29 (E(x36791,f10(a100,f24(f24(f9(a100),f5(a100,x36792,x36792)),x36793),x36791))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3681,plain, 5.41/5.29 (E(x36811,f10(a100,f24(f24(f9(a100),f5(a100,x36812,x36812)),x36813),x36811))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3683,plain, 5.41/5.29 (E(x36831,f10(a100,f24(f24(f9(a100),f5(a100,x36832,x36832)),x36833),x36831))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3685,plain, 5.41/5.29 (E(x36851,f10(a100,f24(f24(f9(a100),f5(a100,x36852,x36852)),x36853),x36851))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3687,plain, 5.41/5.29 (E(x36871,f10(a100,f24(f24(f9(a100),f5(a100,x36872,x36872)),x36873),x36871))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3689,plain, 5.41/5.29 (E(x36891,f10(a100,f24(f24(f9(a100),f5(a100,x36892,x36892)),x36893),x36891))), 5.41/5.29 inference(rename_variables,[],[2232])). 5.41/5.29 cnf(3693,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x36931),x36931)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3705,plain, 5.41/5.29 (P5(a100,x37051,f12(f21(a100,x37051)))), 5.41/5.29 inference(rename_variables,[],[2246])). 5.41/5.29 cnf(3711,plain, 5.41/5.29 (P6(a97,x37111,f10(a97,x37112,f10(a97,f21(a100,f20(f3(a97,f5(a97,x37111,x37112)))),f2(a97))))), 5.41/5.29 inference(rename_variables,[],[2350])). 5.41/5.29 cnf(3715,plain, 5.41/5.29 (P6(a98,x37151,f10(a98,x37151,f2(a98)))), 5.41/5.29 inference(rename_variables,[],[2097])). 5.41/5.29 cnf(3716,plain, 5.41/5.29 (P5(a98,x37161,f3(a98,x37161))), 5.41/5.29 inference(rename_variables,[],[2571])). 5.41/5.29 cnf(3720,plain, 5.41/5.29 (P5(a100,x37201,f12(f21(a100,f10(a100,x37201,x37202))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3735,plain, 5.41/5.29 (P5(a97,x37351,x37351)), 5.41/5.29 inference(rename_variables,[],[536])). 5.41/5.29 cnf(3738,plain, 5.41/5.29 (P6(a98,x37381,f10(a98,x37381,f2(a98)))), 5.41/5.29 inference(rename_variables,[],[2097])). 5.41/5.29 cnf(3750,plain, 5.41/5.29 (P5(a100,f5(a100,f2(a100),f2(a100)),x37501)), 5.41/5.29 inference(rename_variables,[],[2863])). 5.41/5.29 cnf(3751,plain, 5.41/5.29 (P5(a100,x37511,f12(f21(a100,f10(a100,x37511,x37512))))), 5.41/5.29 inference(rename_variables,[],[2176])). 5.41/5.29 cnf(3754,plain, 5.41/5.29 (~P5(a97,f3(a97,f10(a97,x37541,f10(a97,f21(a100,f20(f2(a97))),f2(a97)))),x37541)), 5.41/5.29 inference(rename_variables,[],[2736])). 5.41/5.29 cnf(3764,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x37641),x37641)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3765,plain, 5.41/5.29 (P6(a97,x37651,f10(a97,x37652,f10(a97,f21(a100,f20(f3(a97,f5(a97,x37651,x37652)))),f2(a97))))), 5.41/5.29 inference(rename_variables,[],[2350])). 5.41/5.29 cnf(3771,plain, 5.41/5.29 (P6(a97,x37711,f10(a97,x37712,f10(a97,f21(a100,f20(f3(a97,f5(a97,x37711,x37712)))),f2(a97))))), 5.41/5.29 inference(rename_variables,[],[2350])). 5.41/5.29 cnf(3774,plain, 5.41/5.29 (P6(a97,f5(a97,x37741,f10(a97,f21(a100,f20(f3(a97,f5(a97,x37742,x37741)))),f2(a97))),x37742)), 5.41/5.29 inference(rename_variables,[],[2647])). 5.41/5.29 cnf(3782,plain, 5.41/5.29 (P34(f10(a100,f24(f24(f9(a100),f5(a100,x37821,x37821)),x37822),a97))), 5.41/5.29 inference(rename_variables,[],[2469])). 5.41/5.29 cnf(3785,plain, 5.41/5.29 (P6(a97,f5(a97,x37851,f10(a97,f21(a100,f20(f3(a97,f5(a97,x37852,x37851)))),f2(a97))),x37852)), 5.41/5.29 inference(rename_variables,[],[2647])). 5.41/5.29 cnf(3790,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x37901),x37901)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3791,plain, 5.41/5.29 (P5(a97,x37911,f3(a97,x37911))), 5.41/5.29 inference(rename_variables,[],[2237])). 5.41/5.29 cnf(3797,plain, 5.41/5.29 (P6(a97,x37971,f10(a97,x37972,f10(a97,f21(a100,f20(f3(a97,f5(a97,x37971,x37972)))),f2(a97))))), 5.41/5.29 inference(rename_variables,[],[2350])). 5.41/5.29 cnf(3800,plain, 5.41/5.29 (~P6(a97,f10(a97,f10(a97,f21(a100,f20(f7(a97))),f2(a97)),x38001),x38001)), 5.41/5.29 inference(rename_variables,[],[2720])). 5.41/5.29 cnf(3829,plain, 5.41/5.29 ($false), 5.41/5.29 inference(scs_inference,[],[2163,2704,2698,2353,2354,2720,2959,3017,3261,3370,3382,3430,3433,3508,3693,3764,3790,3800,2350,2971,3227,3711,3765,3771,3797,2726,2347,2968,3005,3232,3318,3348,2336,2881,2714,2693,2711,3522,2334,2724,2097,3180,3212,3715,3738,2094,2384,2820,2415,2979,3238,3281,3288,3291,3311,2182,3196,3241,3266,3294,2893,2413,2443,3367,2174,2196,2365,2374,2193,3063,2380,2363,2832,2451,2470,2477,2887,2813,2172,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,2514,2515,2516,2491,2492,2490,2489,2488,2487,2486,2485,2484,2483,2482,2481,2480,2479,2476,2475,2822,2474,2442,2447,2448,2449,3255,2450,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,2465,2466,2467,2468,2469,3782,2473,2195,2808,2446,2176,2974,3048,3072,3104,3116,3222,3342,3409,3720,3751,2437,3278,3364,2430,2995,3029,3042,3045,3057,3101,3111,2472,2386,3534,2390,2889,3014,3069,3084,2736,3397,3412,3455,3518,3557,3754,2022,2167,2188,2425,3332,3335,2398,2068,3436,2020,605,368,366,371,367,370,551,3060,3273,3565,3599,556,555,630,3075,3324,3329,2578,2777,3171,3195,2782,2537,2232,3051,3087,3092,3154,3156,3489,3521,3547,3553,3555,3559,3561,3563,3567,3569,3571,3573,3575,3577,3579,3581,3583,3585,3587,3589,3591,3593,3595,3597,3601,3603,3605,3607,3609,3613,3615,3617,3619,3621,3623,3625,3627,3629,3631,3633,3635,3637,3639,3641,3643,3645,3647,3649,3651,3653,3655,3657,3659,3661,3663,3665,3667,3669,3671,3673,3675,3677,3679,3681,3683,3685,3687,3689,2332,2944,2755,2659,3174,2662,3142,2628,2527,2841,2576,2650,2865,3341,3526,3544,2545,2863,3270,3312,3315,3419,3448,3452,3490,3494,3498,3750,2584,2240,2243,3451,2246,3705,2900,2266,3066,3447,2671,2680,2318,2324,2588,2635,2906,3008,3011,3054,3129,3338,3345,3415,2667,2685,2251,2272,2307,2631,2312,2647,3468,3774,3785,2669,2683,2871,2237,3000,3321,3791,2571,2949,3168,3462,3716,2275,2932,3183,2299,2938,3177,3206,2873,2293,2759,2869,2582,2988,3160,3163,3400,3403,3406,2867,3209,2911,3258,2751,2678,2605,2602,2768,2595,2598,329,357,397,418,425,448,466,489,492,515,560,585,3037,624,536,3735,538,580,546,562,3299,465,468,550,656,3157,326,328,338,351,352,365,378,389,417,390,325,355,464,467,388,447,324,331,332,337,356,364,387,377,1317,1310,1416,1504,908,1512,1423,1511,1376,786,842,883,888,889,1053,1460,1518,843,897,919,920,953,1049,1050,1090,1100,1112,1122,1123,1206,1288,1290,1322,1378,1598,1911,2110,788,1095,913,955,1041,1205,1227,1292,1400,1414,1595,1596,1030,1052,1295,1323,1401,1402,1619,1704,1096,794,864,906,914,1025,1141,1294,1421,789,954,1319,1417,1497,1713,1496,1510,1024,1228,1505,1703,1326,1415,9,17,44,2,8,1210,288,1151,1169,1188,1233,1235,1275,1284,1428,1481,1995,1997,2003,2005,1211,1079,1209,1527,1528,1647,964,1649,1564,1717,1715,1648,988,1165,1204,1856,753,771,773,845,904,927,944,1085,1124,1174,1216,1223,1239,1335,1484,1959,2004,772,844,938,978,979,980,1058,1105,1152,1220,1234,1238,1345,1360,1379,1468,1479,1480,1495,1500,1642,1645,1724,1857,1943,1944,1960,1992,2001,2006,2009,1036,1181,1202,811,905,1179,1222,1350,766,1075,1164,1178,1180,1203,1218,1344,1469,1725,1993,1473,1719,814,928,1200,1201,1996,756,764,947,948,1039,1106,1199,1472,1646,1998,1451,812,1055,1129,1132,1133,1191,768,1170,1947,1948,2000,1721,1057,1125,1470,1533,767,937,1214,1409,1427,1529,1530,1643,1471,1534,963,226,228,3,225,229,230,232,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,252,253,254,255,257,258,259,260,263,264,265,266,267,268,269,272,273,274,275,276,277,278,279,280,281,282,283,284,286,287,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,234,256,227,231,1405,951,1264,1265,1558,1553,1764,1854,1197,1268,1516,1149,1404,1765,1065,1145,1482,1513,1661,1515,1664,1514,1266,1267,1559,1071,1271,1072,1663,1269,1270,1517,1560,1662,998,2141,1393,1369,872,733,855]), 5.41/5.29 ['proof']). 5.41/5.29 % SZS output end Proof 5.41/5.29 % Total time :3.770000s 5.41/5.32 EOF